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20 divide (3 + -1)*29 + 2?
True
Let u(w) = -5*w**2 + w. Let s be u(2). Let i be s/(-12) + 1/2. Suppose -i*v + 22 = -n - 44, -5*v + 5*n + 170 = 0. Is 23 a factor of v?
False
Suppose -q - 3*q + v = 29, 4*q + 9 = -3*v. Let k(m) be the first derivative of m**3/3 + m**2/2 + 2*m + 2. Is k(q) a multiple of 12?
False
Let u be 8/44 + 150/22. Suppose 0*o - o = -6. Let v = u + o. Does 13 divide v?
True
Let u(y) = 100*y**2. Does 20 divide u(1)?
True
Suppose 5*h - 46 = 4*m, -5*m + 2 = -3*m. Let i = 6 + h. Suppose -2*r = -0 - i. Is 5 a factor of r?
False
Suppose 4*k - a + 1 = 3*k, -a = -4*k - 19. Let i(b) = b**3 + 5*b**2 - 8*b - 8. Is 4 a factor of i(k)?
True
Suppose -126 = -2*b + 3*o + 40, b - 74 = -3*o. Is 8 a factor of b?
True
Suppose 5*h - 9 = -4*z, 2*z + 7 = 4*h + 5*z. Does 7 divide (-200)/(-30) - h/(-3)?
True
Let a(j) = -3*j - 3. Let b(n) = -n**2 - 2*n - 4. Let z be b(-3). Is 12 a factor of a(z)?
False
Let x = 9 + -5. Is 4 a factor of x?
True
Is (-100)/((-8)/(-6)*6/(-4)) a multiple of 10?
True
Let z(u) = -u**2 + 8*u - 5. Let q be z(6). Suppose 4*f - f - q = b, f = -4*b + 37. Suppose 2*p - b = -4*h, -p - 2 + 27 = -5*h. Is p a multiple of 10?
True
Let z = -2 + 7. Suppose z*q = 51 + 144. Is q a multiple of 17?
False
Suppose 0 = -5*g + g + 32. Suppose -4*l + g = -44. Is 5 a factor of l?
False
Let f be 332/16 + 3/12. Does 5 divide 4/14 + 162/f?
False
Suppose -2*p - 3*f - 76 = -3*p, -f = 4. Let q be ((-8)/2)/(-2) - 0. Suppose -t - 5*l = -4*t + 98, -2*t + q*l = -p. Is t a multiple of 12?
False
Is 14 - 14 - (-70 - -1) a multiple of 7?
False
Let f(a) = a**2 - a + 26. Suppose -6*j = -2*j. Does 13 divide f(j)?
True
Let s = 13 - 17. Does 20 divide (-5)/(10/s) + 18?
True
Suppose 4*n = 2*n. Suppose -3*b + 2*b = n. Let f = b + 5. Is f a multiple of 2?
False
Let u(t) = -56*t - 47. Does 27 divide u(-7)?
False
Let o be 14/8 + 2/8. Suppose 0 = -x - 5*c + o, -4 = 2*x - c - 8. Suppose 0 = -0*q - x*q + 52. Is 11 a factor of q?
False
Let o = 0 - -2. Suppose 5*h = u + 48, -o*h = -h + 4*u + 3. Is -3*(192/h)/(-4) a multiple of 16?
True
Suppose -1 - 18 = -3*t + 2*o, -3*o = -3*t + 21. Let g(h) = 2*h**2 - 4*h + 2. Is g(t) a multiple of 11?
False
Let c = 81 - -41. Is 10 a factor of c?
False
Let g(d) = -d**3 - 8*d**2 - 6*d + 9. Let l be g(-7). Suppose -2*x = k - 6*k + 132, 0 = l*k + 3*x - 68. Is k a multiple of 14?
True
Let m(u) = 2*u**2 + 10*u + 16. Is m(-7) a multiple of 6?
False
Suppose 3*k + 4*n - 46 = 0, -k + 3*n + 2 = -9. Does 4 divide ((-21)/k)/(6/(-44))?
False
Let k(o) = -o**3 + 6*o**2 - 3*o + 1. Does 3 divide k(3)?
False
Let m be ((-15)/9)/((-1)/(-15)). Suppose 2 = 2*w - 0. Let r = w - m. Is r a multiple of 13?
True
Suppose -2*o + 0*o = 0. Suppose -2*l - 4*i + 18 = o, -5*l + 4 = -i - 19. Does 4 divide l?
False
Suppose b = 5*b - 12. Suppose h = -2*z + 9, -h + b*h = -5*z + 25. Let o = z - 5. Is 2 a factor of o?
True
Let r(h) = 22*h - 1. Let c = 11 - 10. Is 7 a factor of r(c)?
True
Let x be (-1)/(-4) + 786/(-8). Let h = -56 - x. Suppose -h = -u - 0*u. Does 21 divide u?
True
Suppose 0*u = u. Suppose 2*i - 56 + 12 = u. Does 22 divide i?
True
Suppose 4*v - 26 = -z - 0*v, -2*z + 3*v + 41 = 0. Let c be 114/22 - 4/z. Suppose 0 = 5*h + c*l - 55, 3*h - 2*l - 27 = l. Does 5 divide h?
True
Let x(w) = w**2 - 4*w - 12. Let i be x(6). Is 3 a factor of (-1)/(i + 2)*-12?
True
Suppose 0 = -3*y, -5*i = 3*y - 4*y - 145. Suppose i*b - 26*b = 27. Is b a multiple of 9?
True
Let q = 6 - -135. Does 28 divide q?
False
Suppose -2*z + s + 71 = 0, 3*z + 3*s = -0*s + 129. Does 17 divide z?
False
Let w = 47 - 31. Let y be w/10 + 18/45. Suppose -l = -4*k + 12, -y*l = -2*k + k - 4. Is l even?
True
Suppose 0 = 3*u - 6*u + 12. Let h(j) = -j**3 + 4*j**2 + j. Let w be h(u). Let s = w + 12. Is s a multiple of 13?
False
Suppose -1 = 4*j - 5. Suppose -46 = -2*t + v, 3*t + 0*t + v = 74. Let z = j + t. Is 17 a factor of z?
False
Suppose -2*q + 243 = -39. Is 10 a factor of q?
False
Let q(n) = -10*n + 2. Is q(-1) a multiple of 6?
True
Suppose 0 = -m - 5*f + 6, m = -2*f + 18 + 3. Does 20 divide m?
False
Suppose 5*k = -f + 10, 6 = -2*f + 3*k - 0. Let l = f + 2. Suppose l*j + 44 = 4*j. Is j a multiple of 11?
True
Suppose 0 = -2*q - 17 - 41. Is 10/(-4)*(-1 + q) a multiple of 15?
True
Let s be ((12 + -1)*-1)/(-1). Suppose -2*o + 5*w = -s, -w + 11 = 2*o + 2*o. Is 8 a factor of o - (3 + -1) - -15?
True
Suppose 0 = -2*i + 4 + 2. Suppose i*p - 28 - 17 = 0. Is 10 a factor of p?
False
Let y(f) = f**2 - f + 3. Suppose -3*c + 2*j = 4, 4*c + 2*j - 10 = -3*j. Let h be y(c). Suppose h*d = -3*i + d + 104, -4*i - d + 132 = 0. Is 16 a factor of i?
True
Let c(t) = t**2 + 5*t - 1. Let m be c(-5). Is ((-8)/3)/(m/6) a multiple of 7?
False
Let x = -97 + 118. Is x a multiple of 2?
False
Suppose -5*z - 42 = 8. Let j be (55 - 0)*(-4)/z. Let i = j - 14. Is 4 a factor of i?
True
Let r = -132 + 77. Let s = 9 - r. Does 17 divide s?
False
Suppose -k - 27 = -3*r, 0 = 2*k - 4*k - 2*r - 54. Let p = 67 + k. Is 16 a factor of p?
False
Suppose 86 - 326 = 4*h. Let w = -39 - h. Let i = -13 + w. Is i a multiple of 3?
False
Let j(r) = -2*r**2 - 1. Let d be j(-2). Does 16 divide (8/(-3))/(d/108)?
True
Suppose -4*f - 2*y = -174, 3*f - 2*y - 127 = -7*y. Is 22 a factor of f?
True
Let o(u) = -3*u - 24. Is o(-18) a multiple of 4?
False
Let m(j) = -13*j - 8. Let y be m(-6). Is (y/(-40))/((-1)/4) a multiple of 4?
False
Suppose i + 0*y - 3 = -y, -5*y = -2*i - 1. Suppose -2*c - 14 = -18. Suppose g - 25 = i*j, -3*j + 42 = 3*g + c*j. Is g a multiple of 5?
False
Let b(t) = -t - 1. Let x(c) = -4*c - 11. Let w(k) = 3*b(k) - x(k). Suppose 3*s + 40 = 8*s. Is w(s) a multiple of 9?
False
Let b = 6 - -1. Suppose b - 133 = -3*m. Does 14 divide m?
True
Let l be 1 + -1 + (-60)/(-1). Suppose -2*r + l - 1 = 3*q, -129 = -4*r + 5*q. Is 19 a factor of r?
False
Let k = 132 - 75. Is 19 a factor of k?
True
Let a = 16 + -5. Suppose 2*v - v - a = 0. Is v a multiple of 11?
True
Suppose 2*g + 2*t - 3*t + 25 = 0, -3*t + 53 = -4*g. Suppose 33 = 2*l - 17. Let f = l + g. Does 7 divide f?
True
Let q(p) = -p**3 + 5*p**2 - p + 3. Let t be q(5). Let o(j) = -5*j - 2. Let x be o(t). Suppose -v - v + x = 0. Is v even?
True
Suppose -3*q + 10 = 2*q. Let n = 4 - q. Suppose -n*x + 7 = -5*r - 27, -3*x = -r - 25. Does 7 divide x?
True
Suppose 0 = 2*f + 34 - 4. Let t = f - -37. Is 13 a factor of t?
False
Suppose 0*i - 42 = -2*i. Suppose 3*c + r = i, -2*c - 2 = 3*r - 16. Suppose -5*p - c + 53 = 2*t, -4*p - 23 = -3*t. Is t a multiple of 9?
False
Let n(j) = j**3 - 8*j**2 - 7*j + 2. Let o be n(9). Let x(k) = -k**2 + 6*k - 4. Let a be x(4). Suppose o = -a*b, -u = 7*b - 3*b + 11. Is 9 a factor of u?
True
Is 58/(3/9*6) a multiple of 9?
False
Let s(v) = 19 - 2*v + v**2 + 0*v + v + 38. Is s(0) a multiple of 27?
False
Let u be 370/(-45) + 4/18. Is (8/10)/(u/(-140)) a multiple of 13?
False
Suppose 10 + 41 = 3*s. Suppose 4*g - 12 = -2*t, -t - 5 = -4*g + 1. Suppose z = g*z - s. Is 17 a factor of z?
True
Let k be 4/((-12)/9) - 61. Let b = 91 + k. Suppose -h + 3*n - 2*n = -b, 2*h = 4*n + 52. Does 11 divide h?
False
Suppose 5*w - 85 - 65 = 0. Is w a multiple of 3?
True
Let o(x) = 8*x + 6. Does 20 divide o(4)?
False
Suppose 3*g - 2*p - 65 = 0, 0*g - 5*p = -g. Let l = g - 11. Is l a multiple of 14?
True
Suppose 3*j = 6, -y - 4*j = 2*y - 68. Suppose 2*i - 2*o - 40 = 0, o = -2*i - o + y. Is 15 a factor of i?
True
Let x be 3 + (-1)/(2/138). Let c = -46 - x. Is 10 a factor of c?
True
Suppose b - 9 + 2 = 0. Suppose 0 = 5*t - 4*i - 92, -t + 2*i + b = 5*i. Is 8 a factor of t?
True
Suppose -159 = -8*x + 5*x. Does 10 divide x?
False
Let r = 89 - 34. Let x(u) = -u**3 - 7*u**2 - 4*u - 5. Let h be x(-5). Let c = h + r. Is c a multiple of 10?
True
Let z = -83 - -195. Is 18 a factor of z?
False
Let r = 215 - 143. Does 8 divide r?
True
Let r(j) = 14*j**3 + 2*j**2 - 2*j. Suppose 1 + 4 = 5*x. Does 10 divide r(x)?
False
Let s(n) = -n**2 - 2*n + 3. Let g be s(-3). Suppose 4*p = 2*d - 14, -3*d + 5*p - 3*p + 29 = g. Is d a multiple of 11?
True
Suppose 0 = -2*z - z - 6. Let s be -2 - 100/(z*1). Suppose t + 2*t = s. Is 6 a factor of t?
False
Suppose -6 = -l - 2*l. Let r(f) = 11 + f**2 - 11 + l*f. Does 10 divide r(-6)?
False
Suppose 37 - 497 = -5*x. Does 17 divide x?
False
Suppose -2*c + 0*c + 164 = 0. Suppose 2*l = l + c. Let j = l + -55. Is 15
|
{
"pile_set_name": "DM Mathematics"
}
|
3 = -2*g, -4*g - 4*y + 31 = -3*g. What is the tens digit of g?
1
Let d(w) = -w + 5. Let n be d(0). Suppose -2*r + 4*q = -0*q - 16, n*q + 38 = 4*r. What is the tens digit of r?
1
Let g = -32 - -55. What is the tens digit of g?
2
Let o = 216 + -144. Suppose 196 - o = 4*i. What is the units digit of i?
1
Suppose 0 = 3*g - z + 23, 3*g = 7*g - 4*z + 44. Let o(t) = -t - 3. Let y(b) = -b - 2. Let u(d) = -2*o(d) + 3*y(d). What is the units digit of u(g)?
6
Let a = -3 - -3. Suppose a = 2*b - 0*b - 10. Suppose 10 - 95 = -b*c. What is the tens digit of c?
1
Suppose -j + 11 = 3*q, 3*j - 2*q = -2*j + 38. Let a be (-8)/(-2) - (j + -5). What is the units digit of 17 + a + 4/4?
9
Let u(y) = -31*y + 16. What is the units digit of u(-5)?
1
Let r be (2/(-4))/(9/450). What is the tens digit of -3 + (1 - r) + -2?
2
Let v be 8/(-20) + 17/5. Let f = 3 - v. Suppose -o - 3*o + 60 = f. What is the units digit of o?
5
Let b(z) = -17*z**3 + 2*z**2 + 2*z - 3. What is the units digit of b(-2)?
7
Let s be 15/(-4) + (-1)/4. Let f = s + 7. Let w(l) = -l**2 + 5*l. What is the units digit of w(f)?
6
Let z(l) = l**2 - l - 13. What is the units digit of z(9)?
9
Suppose -2*r + 16 = 2*r. Let b(i) = i**3 - 3*i**2. Let j be b(3). Suppose r*q + 12 - 32 = j. What is the units digit of q?
5
Let w = 27 - 19. What is the units digit of w?
8
Suppose 4*x - 7*x + 135 = 0. What is the tens digit of x?
4
Suppose -5 = -g - 4*g. Let x be 29/4 + g/(-4). Suppose -5*v + x*v - 12 = 0. What is the units digit of v?
6
Let t(g) = -57*g**3 - g**2 - 2*g. What is the tens digit of t(-1)?
5
Let m = -22 + 25. What is the units digit of m?
3
Let j = 1 - 8. Let r(d) = d**3 + 6*d**2 - 8*d + 8. What is the tens digit of r(j)?
1
What is the tens digit of (-1 - 0)/((-4)/96)?
2
Let a(h) = h**3 + 17*h**2 + 9*h + 4. What is the hundreds digit of a(-16)?
1
Suppose y - 27 = 12. Suppose 0 = -3*d - 3, 4*q - 3*d - 115 = 0. Let p = y - q. What is the units digit of p?
1
Let n(h) = h**3 + 4*h**2 - h + 2. Let g be n(-4). Let j = g - 1. What is the units digit of j?
5
Suppose -j + 5*d - 8 = 0, 0 = 6*d - 3*d - 6. Suppose 3 + 3 = -j*h. What is the units digit of 150/9 - h/9?
7
Let h(g) = g**2 + 8. What is the tens digit of h(6)?
4
What is the units digit of 1 + -6*(-1)/1?
7
Suppose 0 = -5*m + 4 + 11. Suppose -p = 3, p - 6 = -2*c - m*p. What is the units digit of c?
9
Let h = 192 + -44. What is the tens digit of h?
4
Suppose 69 + 21 = 5*n. Let a = 55 - n. What is the tens digit of a?
3
Suppose 0 = 2*y + 5*v - 12, 0*v + 12 = -2*y + v. Let c = y + 30. Let i = -16 + c. What is the tens digit of i?
1
Let x(z) = -z**2 + 8*z + 6. What is the units digit of x(8)?
6
Let t(b) = 10*b + 10. Let g be t(-8). Let l = g + 115. What is the tens digit of l?
4
Let v(u) = -u**2 - 17*u - 5. What is the tens digit of v(-15)?
2
Suppose 4*c + 3*s + 13 = -0*s, c + 7 = -2*s. Let t be (-16)/(-6) - c/3. Let w = t - -1. What is the units digit of w?
4
Suppose -3*a = 3, -6*a = 2*i - a + 1. What is the units digit of 3/i*(-2)/(-3)?
1
Let r(i) = -3*i. Let g = 2 - 1. Let k be r(g). What is the units digit of (-38)/(-4) + k/6?
9
Let a be (1 + -1)/(-1 + 0). Suppose -2*r + 3 = -h + r, a = 4*r + 4. What is the units digit of (-15)/h + (-1)/(-2)?
3
Suppose -1 = -3*r + 2*r. What is the units digit of (-13 + r)*15/(-6)?
0
Suppose 3*u = 46 + 50. What is the units digit of u?
2
What is the tens digit of (572/65)/((-4)/(-10))?
2
Let i(a) = a**3 - 3*a**2 - 4*a - 10. What is the units digit of i(6)?
4
Let s(l) = -l**2 + 9*l - 6. Let p(n) = -n**3 - 2*n**2 + 4*n + 4. Let j be p(-4). Let v = -12 + j. What is the units digit of s(v)?
2
Suppose -140 - 150 = 5*g. Let u = -22 - g. What is the units digit of u?
6
Let c(g) = -g**2 - 4*g - 3. Let n = 7 - 13. Let k(r) = -r**3 - 5*r**2 + 5*r - 8. Let t be k(n). What is the units digit of c(t)?
1
Let v(l) = -l + 50. Let x be v(0). Let f = 87 - x. What is the tens digit of f?
3
Let m(y) = 0 + 1 + 6*y**2 + 5*y + 5*y**3 - 4*y**3. Let s be m(-5). Suppose 0 = p + s - 5. What is the units digit of p?
4
Let h = 43 - -51. What is the units digit of h?
4
Suppose 3*g + g - 88 = 0. What is the units digit of g?
2
Suppose 4*d + 0*d = -3*m + 57, -2*m + 38 = 3*d. Suppose l - v - m = -l, -5*l - 5*v = -70. What is the units digit of l?
1
Let n(k) = -2*k - 4. Let u be n(-7). Let h = u - -13. What is the tens digit of h?
2
Let n(y) = y - 4. Let o be n(5). What is the units digit of o - 1 - (6 + -9)?
3
What is the tens digit of (63/27)/(2/24)?
2
Let u = 114 + -69. Suppose 5*t - u - 35 = 0. Suppose 0 = -4*o + 5*y - 11, -o - t = -2*o - 5*y. What is the units digit of o?
1
Suppose 3*w - 36 - 63 = 0. Let t be w/7 - 10/(-35). Suppose -15 = -q - t*c, 2*c + 1 = 3*q - 10. What is the units digit of q?
5
Let c(y) be the third derivative of -y**5/60 + 3*y**4/8 - 4*y**3/3 + y**2. What is the units digit of c(7)?
6
Let y(c) = 2*c**2 + 3*c + 16. What is the units digit of y(5)?
1
Suppose 4*w - 2*k = 1178, -4*w + 3*w + 305 = 3*k. What is the hundreds digit of w?
2
Let p = 19 + -16. Let d = 6 + p. What is the units digit of d?
9
Let g(z) = -7*z - 5. Let q be g(-7). Suppose -p + q = 3*p. What is the units digit of p?
1
Let d(h) = -h + 2. Suppose -p = -0*p + 6. What is the units digit of d(p)?
8
What is the tens digit of 60/2 + 39/(-13)?
2
Let w(i) = i - 6. Let t be w(9). Suppose t*u - 182 = 2*l, 5*l + 248 = 4*u + l. Suppose -5*h + u = 4*b, -3*b - h = 2*b - 62. What is the tens digit of b?
1
Let z(p) = -p**2 - 7*p + 10. Let k be (-54)/8 + 4/(-16). What is the tens digit of z(k)?
1
Let n(t) = t**3 + 3*t**2 - 6*t - 5. Suppose 3*j = j + 3*u - 8, 0 = 3*u. Let v be n(j). Suppose 2*x = -v*x + 25. What is the units digit of x?
5
Let w be (-45)/(-12) - 6/8. What is the units digit of (-2)/w*696/(-16)?
9
Suppose -5*f - 4*l = 1, -5*f + 7 = 2*l - 0. Let b(w) = 4*w**2 + w + 2*w - f*w**2 - 4*w - 2. What is the units digit of b(-4)?
8
Let i(h) be the first derivative of -h**2 - 5*h - 1. What is the units digit of i(-7)?
9
Suppose 4*g = 5*c - 24, -11 + 5 = g - 3*c. What is the units digit of (-4 - g) + 32/2?
8
What is the tens digit of (5 - 4)/((-2)/6) + 118?
1
Suppose 0 = 2*s - 6, -9 = 3*x + s - 4*s. Let w(m) = m**2 + m + 17. What is the units digit of w(x)?
7
Suppose 2*j - 2 = 4. Let d(o) = -5*o + 0*o - 5 + 3 + 3*o**2 + o**j. What is the units digit of d(-4)?
2
Let n(l) = -5*l**3 + 5*l**2 - 5*l - 4. What is the tens digit of n(-3)?
9
Let g(n) be the third derivative of -n**5/60 - 3*n**4/8 - 3*n**3/2 + 8*n**2. Suppose -3*b - 15 = -2*s, -s = -2*b + 4*s + 1. What is the units digit of g(b)?
5
What is the tens digit of 6/(-8) + 203/4?
5
Suppose 4*w - 42 = 62. Suppose 3*d - 33 = h - 9, -5*d = 3*h - w. What is the units digit of d?
7
Let i(c) be the second derivative of c**3/2 - c. What is the tens digit of i(5)?
1
Let w = -1 - 1. What is the units digit of w*(0 - 3/6)?
1
Suppose p - 5*j + 110 = 4*p, -p + 2*j + 33 = 0. What is the tens digit of p?
3
Let k(l) = 3*l**3 + 2*l**2 + l - 1. Suppose -4*c - 12 = -5*v + 14, 3*c + 16 = 2*v. What is the tens digit of k(v)?
3
Let k(u) = -10*u**2 + 2*u**2 - 2 - 1 + 7*u + u**3. Let i be k(7). Let a = 4 - i. What is the units digit of a?
7
Suppose -12*b = -b - 396. What is the tens digit of b?
3
Let c(k) = -46*k + 17. What is the hundreds digit of c(-3)?
1
Let l(y) = 10*y - y**2 + 7 + 4*y**2 - 2*y**2. Let v(s) = s**2 - 22*s + 30. Let d be v(20). What is the units digit of l(d)?
7
Suppose -u = -5*q + 23, 3 - 10 = -3*u - 4*q. Let f(a) = 2*a**2 + 2*a + 1. What is the units digit of f(u)?
3
Let p = -4 + 7. Suppose 3*b + 3*h = 12, p*b - 18 = 2*h + h. What is the units digit of b?
5
Suppose -5*i = -37 - 23. What is the units digit of i?
2
Let r = 5 + -4. Let f be (-9)/(-12)*(-12)/r. Let k = f - -16. What is the units digit of k?
7
Suppose f = 74 - 7. What is the tens digit of f?
6
Suppose 5*p + 2*f = 105, -p + 5*f + 48 = -0*p. What is the units digit of p?
3
Let s(a) = 8*a**3 + a**2 + 1 + 0 + 0 - a. What is the units digit of s(1)?
9
Suppose -2*c - 3*c - 2*f + 413 = 0, 3*c = f + 239. Suppose -3*y - 3*k - c = -8*y, 0 = 3*y + 5*k - 69. What is the tens digit of y?
1
Let z be ((-5)/15)/(1/(-6)). Suppose 2*w - 6 = -6*d + 4*d, -z*d + 1 = -3*w. What is the tens digit of (-8)/(-1) + (d - -1)?
1
Suppose 0 = -3*b + 98 + 16. What is the units digit of b?
8
Suppos
|
{
"pile_set_name": "DM Mathematics"
}
|
(5/(10/(-4)))/(g/(-15)). What is the highest common factor of b and 15?
15
Let x(n) = -2*n + 5. Let a(q) = 7*q - 14. Let d(h) = -5*a(h) - 14*x(h). Let r be d(-4). Suppose 47 = 5*o - r. What is the greatest common factor of o and 15?
15
Suppose 5*o - 84 = 71. Let s(j) = -3*j + 61. Suppose -130 = 6*l - 19*l. Let z be s(l). What is the highest common factor of o and z?
31
Let r = 211 - 197. What is the highest common divisor of r and 203?
7
Suppose 4*i - 9*i = -975. Suppose -i = 2*h + 9. Let d = -70 - h. What is the highest common divisor of 8 and d?
8
Suppose 181 = 2*m + 3*s, -8*s + 4*s - 297 = -3*m. Let z(v) = -v**3 + 6*v**2 + 12*v - 16. Let x be z(7). What is the greatest common divisor of x and m?
19
Suppose -2*m - 125 = -431. Suppose 0 = -10*q + 7*q + m. Calculate the greatest common factor of q and 34.
17
Suppose -4*p + 342 = -126. Calculate the greatest common divisor of p and 27.
9
Suppose 2*v - 7*v = -25. Suppose v*l - b = 32, 3 + 1 = -2*b. What is the highest common factor of 15 and l?
3
Let p(r) = 10*r**2 + 2*r + 1. Let t be p(-1). Suppose t*h - 569 = 322. What is the greatest common factor of h and 9?
9
Suppose 26 = -5*z + 3*z. Let h = 21 + z. Calculate the highest common divisor of 40 and h.
8
Suppose 43 - 323 = -5*m - 5*h, 5*h - 228 = -4*m. Calculate the greatest common divisor of 4 and m.
4
Suppose 16*s - 198 = 11*s + 4*t, 5*s + 2*t = 216. Calculate the greatest common factor of s and 434.
14
Suppose -2*h + 32 + 18 = 0. Calculate the highest common factor of 25 and h.
25
Let z(b) = -3*b. Let y be z(-6). Suppose -x - 4*d = -20, 81*d = -5*x + 79*d + 64. Calculate the highest common factor of x and y.
6
Let k be (-2 - (2 + -6)) + (20 - 2). Calculate the highest common factor of 4 and k.
4
Suppose -3*s = -0*s. Suppose 5*y - 5*q + 10 = s, -y + 4*y = -4*q + 15. Let m(b) = -4*b - 3. Let i be m(-1). Calculate the highest common divisor of y and i.
1
Let i = 82 - 70. What is the highest common divisor of 210 and i?
6
Suppose 5*t - w - 801 = 3*w, w + 321 = 2*t. What is the highest common divisor of 14 and t?
7
Suppose -189*t + 1540 = -178*t. What is the highest common divisor of 105 and t?
35
Let l(s) = 3*s. Let r be l(6). Let h be (-11)/(396/(-1284)) - 2/(-6). Calculate the highest common factor of r and h.
18
Suppose 0 = 30*t + 5*t - 23030. Calculate the highest common factor of t and 14.
14
Let o = -7 + 23. Suppose -2*g - 10 = 0, 3*g + 52 = 4*p - g. Suppose -p = -4*f - 0. Calculate the greatest common divisor of f and o.
2
Let m be 1/1 + 12/(-3). Let y be ((-28)/(-21))/(m/(-126)). Calculate the greatest common divisor of y and 7.
7
Let h be (16 + -2 + 1)*8/(-6). Let a = -15 - h. Calculate the greatest common factor of 15 and a.
5
Let i = 135 + -117. Suppose -3*z = -3*p + 30, -4*z = 3*p - 2*z - 25. Calculate the greatest common divisor of p and i.
9
Let q(v) = -5*v + 8. Let c be q(-3). Let j be 1/(c/(-12) - (-6)/3). Let f = 30 - 6. What is the greatest common divisor of j and f?
12
Let o be (-622)/(-8) - (150/(-8))/(-25). What is the highest common factor of 119 and o?
7
Let y = 1 - 0. Suppose -j + c + 6 = -y, c = 4*j - 37. What is the greatest common divisor of j and 10?
10
Suppose 444 = 4*c + 4*t, 3*t = -4*c - 206 + 651. What is the greatest common factor of 308 and c?
28
Let j be (58/6)/((-2)/(-18)). Suppose 4*d - 117 = j. Calculate the highest common factor of 3 and d.
3
Let l(h) = 4*h**2 - 14*h + 19. Let d be l(2). Calculate the greatest common divisor of 10 and d.
1
Let j = 2326 + -2176. What is the greatest common divisor of 165 and j?
15
Let j be (-62)/(-6) - 8/(-12). What is the highest common divisor of j and 2?
1
Suppose -903 = -11*p - 243. What is the highest common factor of p and 45?
15
Suppose 0 = 2*v - 5*n - 69, -v + 0*v + n + 27 = 0. What is the greatest common divisor of 253 and v?
11
Suppose 65 - 25 = -4*y. Let u = y + 18. What is the highest common divisor of 64 and u?
8
Let u be 50/12 + (-13)/78. Suppose 3 - u = -b. Let j be (1 + b)/((-3)/(-42)). Calculate the highest common divisor of 42 and j.
14
Let t be -13*(-4)/(-10)*(2 + -27). Calculate the greatest common factor of 52 and t.
26
Let j be 6*6/72 + (-227)/(-2). Suppose 21 = 5*z - j. Calculate the highest common divisor of z and 18.
9
Suppose -363 = -2*s + s. Suppose i - 7*v + 3*v - 121 = 0, -s = -3*i - 5*v. What is the highest common factor of i and 11?
11
Let r(u) = -3*u + 13. Let j be r(-8). Suppose -4*l = 13 - j. What is the greatest common factor of 48 and l?
6
Let s = 19 + -14. Suppose -4*d + s*p = -2 - 53, 2*d - 32 = 4*p. Suppose -15*j = -d*j - 240. What is the greatest common factor of j and 32?
16
Let a = -4 - 6. Let b = 13 + a. Suppose -2*s - b*s = -200. Calculate the highest common factor of s and 5.
5
Suppose y = -4*y. Suppose y*h = 2*h - 2. Calculate the greatest common factor of 7 and h.
1
Let d be ((-1)/(-5))/(7/175). Let p(l) = 2*l + 12. Let w be p(d). Let v be (-202)/(-18) + 2/(-9). What is the highest common factor of w and v?
11
Let l(o) = -2*o. Let z be l(0). Suppose z = 5*k - 75 - 20. Let u(v) = v**2 + v + 133. Let x be u(0). Calculate the highest common factor of x and k.
19
Suppose 149 = t - 3*b, 5*b + 188 = 3*t - 251. Let q be 5 - (-20*1)/(-4). Let u = 13 - q. What is the highest common divisor of u and t?
13
Let b be 13/((-17)/7854*-21). Let a be 44/(-6)*(-3)/1. Calculate the highest common factor of a and b.
22
Suppose 0*n = n - 34. Suppose a - 2*a + 31 = -w, -5*w = -15. Calculate the highest common divisor of n and a.
34
Let y = 1023 - 820. What is the greatest common divisor of y and 145?
29
Let i = -1387 - -1396. Let f(k) = 19*k**2 - 4*k - 3. Let c be f(-2). What is the greatest common factor of i and c?
9
Suppose 35 - 53 = -2*t. Suppose 0 = 2*p - p - 3. Calculate the greatest common divisor of p and t.
3
Suppose 0 = 4*q - 4, 2*q = -2*d - 9 + 1173. What is the greatest common factor of 249 and d?
83
Let k(b) = b + 14. Let l be k(12). Let h = 47 - l. Calculate the highest common factor of 3 and h.
3
Suppose 4*x + 4*t + 8 = t, -x - 4*t + 11 = 0. Suppose -2*b - 44 = 2*b. Let s = x - b. What is the greatest common factor of s and 42?
6
Let f = -162 + 55. Let a = 123 + f. Let n(w) = w**3 - 2*w**2 + w. Let s be n(2). What is the highest common factor of s and a?
2
Suppose 70 = 6*j - j. Suppose 3*g = 5*g - j. What is the greatest common factor of 70 and g?
7
Suppose -5*z + 2*z - 4*l = -35, -2*l + 30 = 4*z. Let w = 0 + z. Suppose 0 = -o - w, o - 6*o - 39 = -2*b. Calculate the greatest common divisor of b and 49.
7
Let n be 20/6*(-6)/(-10). Suppose -84 = -n*c - 14. What is the highest common factor of 21 and c?
7
Suppose l - 2*m + 2 - 16 = 0, -5*m = -15. What is the highest common factor of l and 2780?
20
Suppose -20*m = -776 + 136. What is the greatest common factor of m and 144?
16
Let n = 1162 + -1120. What is the greatest common divisor of 714 and n?
42
Let p be -2 - (0 + -6 + 2). Let l be p/(-9) - 2934/(-81). Let x = 24 - 0. What is the greatest common divisor of x and l?
12
Suppose 0 = 70*p - 75*p + 630. What is the highest common factor of 28 and p?
14
Let k(f) = f + 8. Let c be k(-4). Let n(q) = q**3 + 10*q**2 + 5*q - 8. Let p be n(-9). What is the greatest common divisor of p and c?
4
Let u(h) = 2*h + 5. Let y be u(-6). Let t be -1 - y - (-7)/(-7). Suppose c + 2 = t*n, -4*c - n - 6 = -5*c. Calculate the greatest common factor of 56 and c.
8
Let d be (4/(-12))/(2/(-24)). Suppose 37 = b + 2*s, -4*b + 156 = -4*s - 28. Let n = b + -23. Calculate the highest common factor of d and n.
4
Let s(f) = -f**3 - 24*f**2 + 22*f - 45. Let x be s(-25). What is the greatest common divisor of x and 20?
10
Let j(c) = c**3 + 8*c**2 + 5*c - 9. Let u be j(-7). Let l(x) = -x**3 + 8*x**2 + 6. Let z be l(7). Calculate the highest common divisor of u and z.
5
Let o be 109 - (0 + -1)*-1. Let j be (32/28)/(4/14). Suppose -2*w + j*n + 18 = -32, -2*n = 2*w - 56. What is the highest common divisor of w and o?
27
Let u be (2*-1)/((-2)/26). Let p = 225 - 197. Suppose -p = -x + u. What is the greatest common divisor of 6 and x?
6
Suppose -24*s + 5184 = -18*s. Calculate the highest common factor of s and 54.
54
Let q be 2/4*4 - -18. Suppose -5*g - 5*l = -15, 0*g - 50 = -5*g + 2*l. Suppose 4*i - g*i + 40 = 0. Calculate the highest common divisor of q and i.
10
Suppose
|
{
"pile_set_name": "DM Mathematics"
}
|
= 10*o**3 - 3*o**2 + 1. Let s(y) = -y**2 - 8*y + 4. Let k be s(-6). Let i = 14 - k. Let w be b(i). Round w to the nearest ten.
-90
Let s = 12 + -4. Let x = s + -7.999986. What is x rounded to five dps?
0.00001
Let u = -162549 - -353549. Round u to the nearest 100000.
200000
Let c = 668296.81 - 681289.8032. Let q = -12996 - c. Let p = -3 - q. What is p rounded to 3 decimal places?
0.007
Let v = 5.8 + -7. Let x = 2.4 + v. Let w = -1.19994 + x. Round w to five dps.
0.00006
Let t(u) = -u - 2. Let r be t(-11). Let h(d) = -6 - d**2 - 7*d - d**3 + 0*d**3 - r*d**2 - 2. Let l be h(-10). What is l rounded to the nearest 10?
60
Let h = 40676 + -41292.91. Let b = -614 - h. Round b to the nearest integer.
3
Suppose -4*w = -6*w - 5*w. Suppose 7*r - 25077 - 68723 = w. What is r rounded to the nearest one thousand?
13000
Let h = 27 + -48. Let t = h - -21.16. Round t to two dps.
0.16
Let s = -488 - -622. Round s to the nearest 100.
100
Let z be (-4)/(-6) + 5753836/(-6). Let d = z + 308972. What is d rounded to the nearest 100000?
-700000
Suppose -8 = 5*m - 68. Suppose 2*o - 3*x = 20, 12 = o - 4*x + 3*x. Let f be (o*125)/(m/(-120)). What is f rounded to the nearest one hundred thousand?
0
Let p = 286.00000844 - 286. Round p to seven dps.
0.0000084
Let l be (-2)/(4/24*-3). Let p be (-5774)/(-4) + 2/l. Let r = -514 + p. What is r rounded to the nearest one hundred?
900
Let y = -42924.852 - -42803. Let q = -122 - y. Round q to two dps.
-0.15
Let p = 0.105 - 0.102228. Round p to four dps.
0.0028
Let o(a) = 416*a**2 + 6*a + 28. Let z be o(-8). Let c = z + -132604. What is c rounded to the nearest 10000?
-110000
Let g = 0.73377 + 2.066224. Let r = g + -2.8. What is r rounded to six decimal places?
-0.000006
Let g = -55.27 - -55. Let f = -0.01 + g. Let z = f + 0.16. What is z rounded to one decimal place?
-0.1
Let v = -98181597 + 98181590.00000112. Let h = -184 + 177. Let y = h - v. What is y rounded to 7 dps?
-0.0000011
Let d = 3.082 - 0.072. Let u = 3.0100159 - d. What is u rounded to six dps?
0.000016
Let a = -459 + 458.179. Round a to two dps.
-0.82
Let f be 18854/(4/6*3). Let p = 4427 - f. What is p rounded to the nearest ten thousand?
-10000
Let f = 23.38 - 23.1906. Let m = 0.8 + -0.99. Let i = m + f. Round i to four dps.
-0.0006
Let j = 20203328.5999985 - 20203373.6. Let d = 45 + j. Round d to six dps.
-0.000002
Let v = -0.4 - -12.4. Let f = -11.99999897 + v. Round f to seven dps.
0.000001
Let q = -0.817 - -0.78736. What is q rounded to 3 dps?
-0.03
Suppose b = -5, 21*w + 3*b = 18*w - 38145. What is w rounded to the nearest one thousand?
-13000
Let y = 12168476347.9999593 + -12168475546. Let o = y + -802. What is o rounded to six dps?
-0.000041
Let x = 45 - -43. Let p(s) = -2*s - 6. Let g be p(-3). Suppose t - 2*h - h + 14 = g, 4*t = 4*h - x. Round t to the nearest 10.
-30
Suppose t = -3*t + 3*o + 32666, 5*t + 3*o - 40846 = 0. Suppose n + 20840 = -4*n. Let b = t + n. What is b rounded to the nearest one thousand?
4000
Let j = -0.2905 + 0.0625. Round j to 1 dp.
-0.2
Let v = -6 - -8.2. Let k = 68 + -66. Let z = k - v. Round z to the nearest integer.
0
Suppose 285*b - 291*b + 6 = 0. What is b rounded to the nearest integer?
1
Let m = -20.268 - -0.818. What is m rounded to the nearest 10?
-20
Suppose -4*c - 199 + 883 = -4*z, 2*c = -z - 168. Round z to the nearest 10.
-170
Suppose -2*w + 12 = 2*d, 0 = -w - 3*d + 5 + 3. Let a(m) = -10511*m + 7. Let u be a(w). Let l = u + 123548. Round l to the nearest 10000.
70000
Suppose -2*u + 6229 + 351 = 0. Suppose -c + 0*c - u = 0. Round c to the nearest 100.
-3300
Let l = 298 + -177. Let w = l + -66. Let t = w + -55.0232. Round t to three decimal places.
-0.023
Let r = 2.8301496 + -2.83. What is r rounded to 6 decimal places?
0.00015
Let n = 0.329 + 55.771. Let v = 59 - n. Let i = v + -2.900019. Round i to five dps.
-0.00002
Let z = -26.6501262 - -26.65. Round z to six dps.
-0.000126
Let k = 29 + -17. Let u = k + -12.12. Let m = 0.3 + u. What is m rounded to 1 decimal place?
0.2
Let t = -93.42225 - -93.5. What is t rounded to two decimal places?
0.08
Let r = -104.8 + 0.6. Let t = -51.9 - r. What is t rounded to the nearest 10?
50
Let m = -4119.7821 + 4120. What is m rounded to two decimal places?
0.22
Let u = -0.029 + -26.971. Let q = u - -27.104. Let m = 0.02 - q. Round m to 2 decimal places.
-0.08
Let m = 3658 - 3658.0000008985. What is m rounded to 7 decimal places?
-0.0000009
Let o = -460.2 + 462.621. Round o to 1 dp.
2.4
Let c = 91.648 + -87.6. Let r = -4 + c. Let v = 0.048039 - r. What is v rounded to five dps?
0.00004
Let o = 28.9 - 44.6. Let u = o - -1.4. What is u rounded to 0 dps?
-14
Suppose -48125 = -2*z - 3*b - 2*b, 0 = -2*z - 3*b + 48115. Let y be -4*9/(-12) - z. Let n = y - -49047. Round n to the nearest ten thousand.
30000
Let g be (-176 - 1)/((-3)/89304). Suppose -6*c - g + 888936 = 0. Round c to the nearest one hundred thousand.
-700000
Let n = 61 + -43. Let d be (-12152)/(-5) + n/(-45). Round d to the nearest 100.
2400
Let z(r) = -2*r + 25. Let k be z(9). Let c be (-52)/91 - (-1054)/k. What is c rounded to the nearest one hundred?
200
Let m = 170.5 - 221. Let s = -47 - m. Round s to the nearest integer.
4
Let f = 622 - 620.19. What is f rounded to zero decimal places?
2
Let o = 90 - 95. Let l be (-3 - (5 + o)) + (-10899997 - 0). Round l to the nearest 1000000.
-11000000
Let q(b) = -54*b**2 - 4*b + 7. Let l be q(-3). What is l rounded to the nearest ten?
-470
Let a = -20 - -22. Let z be (1 + -1 + 1038)/a. Let f = z + -1029. What is f rounded to the nearest 100?
-500
Let w = -24 - -21. Let r(t) = -1500000*t**2 + t + 3. Let u be r(w). What is u rounded to the nearest 1000000?
-14000000
Let f = -0.11 - -0.37. Let q = f + -0.275. Let c = q + -1.125. What is c rounded to one decimal place?
-1.1
Let j = 1418 + -1417.9999995482. What is j rounded to seven dps?
0.0000005
Let o = -0.137 + -1.553. Let c = -0.915307 + -0.77458. Let n = o - c. What is n rounded to 5 decimal places?
-0.00011
Let r = 20.97 + -22.42264. Let t = r + -11.54676. Let a = t + 13. Round a to four decimal places.
0.0006
Let a(u) = 84*u**2 + 20*u - 56. Let n be a(13). Round n to the nearest 1000.
14000
Let m = -578.99999946 - -579. Round m to 6 dps.
0.000001
Suppose -2*y - 771200 = 610136. Let w = 1430668 + y. Round w to the nearest one hundred thousand.
700000
Let c = -559 + 395. Let a = 157.1 + c. What is a rounded to the nearest integer?
-7
Let k = -0.347 - -0.38. Let i = -322.96794 + 323. Let l = k - i. Round l to 4 dps.
0.0009
Let p = -9503.1 + 8832. Round p to the nearest one hundred.
-700
Suppose -3*f + 5*i - 10107 = 1545, 2*i = 3*f + 11661. What is f rounded to the nearest 1000?
-4000
Let v = 608 - -50. Let z = 658.301 - v. Round z to one decimal place.
0.3
Let d = 2.2 - -0.3. Let n = d + -2.5000964. What is n rounded to five dps?
-0.0001
Let o = 99.8 + -147.78. Let g = 46 + o. What is g rounded to the nearest integer?
-2
Let f = -16 + 9. Let n = f - 11. Let g = n - -18.00000014. What is g rounded to seven dps?
0.0000001
Let f be (-4)/(-18) + (-19272074)/(-18). Let n = 7170671 - f. Round n to the nearest one million.
6000000
Let z = -0.018 - -3.018. Let j = -300.319363 - -297.3193. Let v = j + z. Round v to 5 decimal places.
-0.00006
Let f = -5968.00005318 - -5968. Round f to six dps.
-0.000053
Let f be (-5 - -4)*(1 - 4). Suppose 3*t + 3*n = -6, f*t + 4*n + 1 = 2*n. Suppose 11 = -2*c - c - 5*x, t*c + 7 = -x. Round c to the nearest 10.
0
Let k = 4.93880605 - -0.06125995. Let p = 2 + -7. Let z = p + k. What is z rounded to five dps?
0.00007
Let m = 32 - -49. Suppose -4*j = 3*f - m, -f + 8 + 3 = -4*j. Suppose 4*z - f = -3, -4*z + 126020 = 2*h. Round h to the nearest 10000.
60000
Let v = 391.54 - 300.9. Let u = 93.3381 - v. Let b = 2.7 - u. What is b rounded to 3 decimal places?
0.002
Let a = 29 + -28.87. Let h = a + -103.13. Let p = 102.9917 + h. Round p to 3 decimal places.
-0.008
Let n = -0.938 - -0.91265. What is n rounded to three decimal places?
-0.025
Let l = -87 - -86.896. Let s = 0.103979 + l. Round s to five decimal places.
-0.00002
Let n = 10 + -10. Suppose f = -n*f. Suppose -4*q + l + f*l - 5 = 0, -5*q + 5 = l. What is q rounded to the nearest ten thousand?
0
Let a = 175960 + -175884.443. Let b = 75 - a. What is b rounded to one
|
{
"pile_set_name": "DM Mathematics"
}
|
v) = 18*v + v - 34*v - v. Is 25 a factor of z(-5)?
False
Suppose 2*w + 4 = 4*u + 22, -2*w - u + 8 = 0. Suppose -223 = -3*k + w*p, k = 6*k - 5*p - 355. Is 14 a factor of k?
False
Let a = -5 - -5. Suppose y - 4*y + 372 = a. Is 26 a factor of y?
False
Let d = 962 + -470. Is d a multiple of 12?
True
Let h be ((-61)/4)/((-4)/(-16)). Let u = h + 151. Is u a multiple of 18?
True
Suppose -6*f + 5*t = -5*f + 89, 3*f + 5*t + 227 = 0. Let n = f + 164. Does 17 divide n?
True
Let q = -66 - -69. Suppose -19 = -5*n + 1, 347 = q*x - n. Is x a multiple of 13?
True
Let a be (18/(-8))/(18/(-1344)). Let k = a - 281. Let w = -65 - k. Is w a multiple of 12?
True
Let o be (-1)/(-1) - 5 - -72. Let y = o - -3. Does 23 divide y?
False
Suppose -4*g + 3152 = 4*w, -7*w = -2*w + 3*g - 3948. Does 46 divide w?
False
Let z(l) = -l**3 + 3*l**2 + l + 7. Let w be z(3). Let q(g) = -g**3 + 12*g**2 - 9*g - 8. Does 18 divide q(w)?
False
Let w = 2962 + -2170. Does 9 divide w?
True
Let q(w) = 19*w + 43. Is 19 a factor of q(7)?
False
Let t(c) = c**2 + 7*c. Let d = -13 - -5. Let a be t(d). Let z = 0 + a. Is 8 a factor of z?
True
Let s = -722 + 452. Let c be ((-2)/(-4))/(5/s). Let u = -18 - c. Is 6 a factor of u?
False
Let a = 1021 + -283. Is 41 a factor of a?
True
Let f(a) = a**2 - a + 2. Let l be f(-5). Let h = l + -13. Is h a multiple of 5?
False
Suppose 3*v - 9 = -3. Suppose -v*t - t - 5*q + 128 = 0, 0 = -4*t - 3*q + 189. Does 7 divide t?
False
Let c(d) = 3*d**2 + 3*d + 1. Suppose 2*w + 2*w + t = 6, -4*w + 2*t = 0. Let n be (-2)/((-4)/8 + w). Is c(n) a multiple of 12?
False
Suppose -2*a = 3*b - 4*b - 8, 2*a - 20 = -5*b. Let q(n) = 38*n + 25. Does 17 divide q(a)?
False
Let z = 1157 + -757. Is z a multiple of 10?
True
Suppose -u = 4*u. Suppose u = 3*j - 7 - 8. Does 14 divide (-10)/((j/8)/(-5))?
False
Let k = -878 - -1697. Is 21 a factor of k?
True
Let h be 12/((2/(-1))/(-2)). Suppose -2*x = -6*x + h. Suppose 2*z + x*m - 113 = 4*m, -276 = -5*z - 4*m. Does 23 divide z?
False
Suppose 6*r - 1134 = 3*r. Is 21 a factor of r?
True
Does 9 divide 5/(-6) + (-2627)/426 + 4349?
False
Suppose 4*s - 161 = -17. Let v = s - 16. Is v a multiple of 13?
False
Let w be (-7)/35 + (-2)/(-10). Let l be (-14)/(-21) - 5/3. Does 14 divide l - w - (-4 - 41)?
False
Let d(g) be the third derivative of 5*g**4/24 + 7*g**3/6 - 11*g**2. Let u(a) = -7*a + 2. Let r be u(-2). Is d(r) a multiple of 29?
True
Let a(s) = 184*s**2 + s + 2. Let h be a(-1). Is h/30*3*2 a multiple of 29?
False
Let d = -130 + 237. Suppose -13 = -2*h + d. Is h a multiple of 30?
True
Let w(y) = -y**2 - 5*y + 17. Let v be w(12). Let r = -87 - v. Is r a multiple of 24?
False
Suppose -25 = -4*c - 9. Let r(g) = 2*g**2 - 4*g - 5. Let d be r(c). Suppose 5*a - 109 = d. Is 12 a factor of a?
True
Suppose 2*m + 2*i - 80 = 3*i, -3*i = -12. Suppose -d + 58 + m = 0. Is d a multiple of 19?
False
Suppose 2745 = -902*w + 911*w. Does 61 divide w?
True
Let m(r) = -13*r + 32. Let p be m(-10). Suppose 8*g - p = 2*g. Does 3 divide g?
True
Suppose -72 = z - 25. Suppose 0 = -5*q + 5*l + 121 - 491, 0 = -5*q - 4*l - 379. Let c = z - q. Is c a multiple of 14?
True
Let l(y) = -4*y**2 + 2*y + 2. Let g = 24 + -22. Let v be l(g). Is (132/15)/((-4)/v) a multiple of 12?
False
Is 37 a factor of -1073*24/(-2 - 10)?
True
Suppose 6*t - 7*t + f = 30, -2*t = 2*f + 44. Let z = 76 + t. Is 15 a factor of z?
False
Let p be -6*(1/(-3) + -1). Suppose p*t - 17*t = -225. Is t a multiple of 7?
False
Is 138/230 + 2377/5 a multiple of 4?
True
Let z(m) be the first derivative of 9*m**4 + m**3/3 - m**2/2 + m - 26. Does 19 divide z(2)?
False
Let f(u) = -4*u - 24. Let q be -13 + 0/(-1 + -2). Is 7 a factor of f(q)?
True
Suppose -2*y - 3*o - 9 = 0, 0 = 2*y - 0*o - 3*o - 21. Suppose 3*t + 12 = 0, -4*m + 158 = -y*m - t. Is 17 a factor of m?
False
Suppose 2*c + 64 = 4*n, 15 = 2*n - n - c. Let p = n + -7. Is 10 a factor of p?
True
Does 26 divide 1983/(-15)*(-25 + 20)?
False
Suppose 0*p + 5*p = 85. Suppose 45 - p = -7*q. Is (2/q)/((-10)/1080) a multiple of 21?
False
Suppose -5 = -4*g + 5*j, 4*j - 17 = g - 2*g. Suppose -r - 3*a + 9 = -0*a, 7 = -r + g*a. Does 3 divide (-6)/4*(1 - r)?
True
Suppose -215*s + 222*s = 1785. Does 7 divide s?
False
Let a(f) = 29*f**2 + 5*f - 11. Let c be a(3). Does 53 divide (-3 - -5)/(2/c)?
True
Is 17 a factor of (129 - -7)*36/16?
True
Let l = -1171 + 1094. Let p(r) = -112*r. Let b be p(-1). Let o = b + l. Does 11 divide o?
False
Let f(w) = w**3 - 4*w**2 + 4*w - 3. Let d be f(3). Suppose d = -4*h + 49 - 145. Let s = 35 + h. Is s a multiple of 3?
False
Let z be 1019/7 + (-3)/(-7). Suppose -5*j + 95 + 295 = 0. Suppose j = 4*h - z. Is 14 a factor of h?
True
Let j = -4100 - -7202. Is j a multiple of 33?
True
Suppose 3*h - h - 3*a + 4 = 0, -5*a + 40 = 5*h. Suppose -o + s + h*s + 60 = 0, 60 = o + s. Is o a multiple of 18?
False
Let a(k) = k + 1. Suppose -14*w - 20 = -9*w. Let b be a(w). Is 23 a factor of 52/39 + (-179)/b?
False
Suppose 23*u - 25*u = -4*p + 9870, -3*p + 3*u = -7401. Is p a multiple of 113?
False
Let f(u) be the third derivative of u**4/24 + 11*u**3/6 - 7*u**2. Let p be f(-8). Let l(s) = 3*s**2 + 3*s + 2. Is 9 a factor of l(p)?
False
Suppose 0 = -0*z - 4*z + 72. Let c be (z/15)/(2/5). Let g(f) = f**2 + f - 4. Is g(c) a multiple of 3?
False
Let v = 47 + -75. Let i = v - -82. Is 32 a factor of i?
False
Suppose z = 3*r + 2*z - 10, -3*z = -3*r - 6. Suppose 0 = 4*n + r*w - 160, -146 = 5*n - 5*w - 376. Does 9 divide n?
False
Let h be 2*(-1 + 17/2). Let w be h/12*(4 - 0). Suppose -w*r + 4*f - 5*f = -75, 0 = -r - 5*f + 39. Is r a multiple of 14?
True
Suppose 8*m - 26633 = -3673. Does 20 divide m?
False
Let w = 2162 + -1445. Does 14 divide w?
False
Let v = -145 - -80. Let a = 151 + v. Is a a multiple of 6?
False
Suppose -133*s + 129*s + 1480 = 0. Suppose s + 110 = 6*h. Is h a multiple of 8?
True
Suppose 4086 = 3*k - 2*i, k - 2*k + 3*i + 1362 = 0. Does 50 divide k?
False
Let x(b) = -b**3 + 4*b**2 - 3. Let v be x(3). Let u = -1 + v. Suppose u*l - 77 = -3*s, -5*l + 10*l = 2*s - 18. Is s a multiple of 7?
False
Suppose 103 = 5*k - c, 4*c = -3*k + 32 + 39. Suppose 0 = -16*h + k*h - 480. Does 16 divide h?
True
Let u be (-2)/(-8)*0 + 121. Suppose -463 = -3*y - u. Suppose 4*r = 106 + y. Is r a multiple of 16?
False
Let c(n) = 6*n**2 + 13*n - 6. Let v be c(5). Suppose 4*l - v = -5*s + 76, -5*l - 25 = 0. Does 9 divide s?
False
Let v = -68 - -102. Let j = v + -29. Is j a multiple of 2?
False
Suppose 4*m = -2*h + 3*m + 91, -188 = -4*h + 4*m. Is h a multiple of 41?
False
Suppose 17*n = 14*n + 1425. Is 19 a factor of n?
True
Let j be 163/15 + -1 - 8/(-60). Suppose 63 = -a + j*a. Is a a multiple of 4?
False
Suppose 0 = -2*b - 4*u + 24 - 60, 4*u - 72 = 4*b. Let y = 23 + b. Is 5 a factor of y?
True
Is 26 a factor of (260/24)/(3/36)?
True
Does 4 divide -2*7593/(-24) - 9/12?
True
Let u(x) = 6*x - 36. Let r be u(7). Is 3 - (-7)/2*r a multiple of 3?
True
Let w be 20/(-30) + 106/6. Let n = w - 13. Suppose l = 6*l - 4*p - 395, l = n*p + 95. Is l a multiple of 25?
True
Suppose 5*w - 3 - 37 = 0. Suppose p = -3 + w. Suppose -3*y = -p*h + 95, -h + 3*y + 7 = -0. Does 21 divide h?
False
Suppose s + 4 = 8. Suppose -s*n = n - 250. Is 17 a factor of n?
False
Suppose 21 = -3*b - 129. Let n = b - -61. Is n a multiple of 8?
False
Let t be 5/((-30)/4)*(-80 - -5). Let z = t + -1. Does 10 divide z?
False
Suppose 3*q = -0*q + 141. Let d = 81 - q. Is d a multiple of 17?
True
Let n(r) = -r**3 - 10*r**2 + 16*r + 13. Let o be (6/(-18))/(1/33). Let u be n(o). Let f = 93 + u. Is 31 a factor of f?
False
Let i(h) = -3*h - 16. Let t be i(-8). Let f = t + 27. Does 7 divide f?
True
Suppose 4*i + 4*k - 24 = 0, -4*i - 3*k + 44 = -4*k. Is i a multiple of 2?
True
Suppose -5 = -2*a - 3*p, 2*a + 4*p + 0 = 6. Let c be 5 + 1/((-4)/4). Suppose c = 5*s - a, -37 = -3*o - s. Does 3 divide o?
True
Let a be (2/((-4)/3))/(3/(-6)). Is 9*60/27*a a multiple of 15?
True
Let b(g) = 2*g**2 + 2*g + 4. Let n be ((-24)/(-40))/((-1)/(-5)). Let t be b(n). Is 28 a factor of t + ((-6)/(-3) - 0)?
False
Suppose -3*d = -3, 9*b - 8*b = d + 237. Does 20 divide b?
False
Let s = -2 - -17. Let r(q) = q**3 - 23*q**2 - 23*q - 21. Let b be r(24). Is b/s + (-98)/(-10) a multiple of 5?
True
Let i(x) = -x**2 - x + 2. Let k be i(8). Let r = k - -87. Is 3 a factor of r?
|
{
"pile_set_name": "DM Mathematics"
}
|
ded to 1 dp?
-11
Let s = -3475.67 - -3296. Let c = 20 + 162. Let u = s + c. What is u rounded to the nearest integer?
2
Let m = 67 + -48. Suppose -5*u - 3*p = -53994, m*p = -2*u + 23*p + 21608. What is u rounded to the nearest ten thousand?
10000
Let z(g) = 2535*g - 128 - 17658*g + 824*g + 70750*g + 51901*g. Let m be z(-11). Round m to the nearest one hundred thousand.
-1200000
Let r be 184032/(-7) + (-11)/((-1232)/32). Round r to the nearest one thousand.
-26000
Let q be 102869567/85 + (-1)/5. What is q rounded to the nearest ten thousand?
1210000
Suppose 0 = -4*a + 3*l - 30918901, 0*l = 3*a + 4*l + 23189182. Let g = 4208726 + a. Round g to the nearest 100000.
-3500000
Let p = -149 - -163.6. Let k = -14.54 + p. What is k rounded to one decimal place?
0.1
Suppose -5*t + 4*f = 2*f - 819, -2*t = 4*f - 342. Let c = -268 + t. What is c rounded to the nearest ten?
-100
Let d = 2248.46 - 1082.64. Let j = -1154 + d. What is j rounded to 1 dp?
11.8
Let y(s) = 11*s**3 - s**2 - s - 8. Suppose 3*f - f = 2. Suppose 0 = i - q - f, -3*i - 4*q = -5*i + 10. Let d be y(i). Round d to the nearest 100.
-300
Let x = 429 - 429.024. Let z = -0.135 - -0.11068. Let h = x - z. What is h rounded to 5 decimal places?
0.00032
Let u = 635.0509 + -635. Let d = u + 0.0231. What is d rounded to two decimal places?
0.07
Let w = 88.87 - 89. Let x = w + 0.1299955. What is x rounded to six dps?
-0.000005
Let w = 18967.014 + -18967. Let x = 657 - 656.98372. Let b = w - x. What is b rounded to 4 decimal places?
-0.0023
Let a be (1356/21)/(-2)*(-21 + 14). Let q = a + 400. Round q to the nearest 100.
600
Let c = 21 - 22.82. Let d = c + 0.66. What is d rounded to 0 decimal places?
-1
Let m = 274 + -230. Let d be (-638)/(-8) - 33/m. Round d to the nearest ten.
80
Suppose -q - q + 5*c = -30, 3*q - 11 = -c. Let b be (-61034)/14 - q*(-15)/(-175). Round b to the nearest 100.
-4400
Let j = 746 - 612.26. Let n = j - 5.14. Round n to the nearest integer.
129
Let y = 0.23 - 3.53. Let m = y - -3.300331. What is m rounded to 4 decimal places?
0.0003
Let p(c) = 3*c + 69. Let j be p(-23). Let u(i) = 3*i + 2. Let f be u(j). Suppose -3462 = -f*r - l, -l = -5*r - 2*l + 8652. Round r to the nearest 100.
1700
Let u = 3.758284015 + -270.758287695. Let h = 267 + u. Round h to 6 dps.
-0.000004
Let r = -2785.6 - -2785.32354. What is r rounded to 2 dps?
-0.28
Suppose -93*r = -73*r - 360. Let z be 8/r + 42640/(-36). Round z to the nearest ten.
-1180
Suppose 2*p + 12 - 16 = 0. Suppose -p = -q + 1. Let d(l) = 22002*l - 6. Let i be d(q). What is i rounded to the nearest 10000?
70000
Let s = 0.0592 - -93.2108. What is s rounded to the nearest 100?
100
Suppose -22*x - 32*x = 101493000. Round x to the nearest ten thousand.
-1880000
Let b = 2.52 - 2.45. Let a = -0.86 - b. What is a rounded to one dp?
-0.9
Let s(l) = 16 + 4066*l - 4067*l + 168*l**2 - 1. Let w be s(-5). Round w to the nearest 100.
4200
Let a = -47.096 - -0.096. Let u = a - -46.77. Let s = u + 0.22999846. What is s rounded to 7 dps?
-0.0000015
Let k = 0.0914287 - 0.095743. Round k to 5 decimal places.
-0.00431
Let f = -825 - -824.953. Let l = -33.951 - -34.1. Let s = l - f. Round s to two decimal places.
0.2
Let g = -272.987669 + 0.057669. Round g to the nearest one hundred.
-300
Let l be ((-28145115)/(-6))/5 + (-112)/224. What is l rounded to the nearest 100000?
900000
Let o = 3462 - 3461.1794. Round o to two decimal places.
0.82
Let c(q) = q - 18. Let s be c(12). Let v be (22*2050)/(s/600). What is v rounded to the nearest one hundred thousand?
-4500000
Let q = -73 + 77. Suppose 0*x = -x, -4*u + q*x - 2132 = 0. Round u to the nearest one hundred.
-500
Let w = -0.0907 + -29.0493. Let v = w + 0.14. Let r = 29.00000027 + v. What is r rounded to seven dps?
0.0000003
Let f be ((-12970)/6)/(3 + 136/(-48)). Let t be (-5 - 0) + f/2. Round t to the nearest 1000.
-6000
Suppose -t + 4 = -4*h, 4*t - 4*h - 40 = -12. Let u be (-2 - t)*2364/(-20). What is u rounded to the nearest 100?
1200
Let j be (15/(-6))/((1740/814896)/(-29)). Round j to the nearest one hundred.
34000
Let x = -747849962 - -501359962. Round x to the nearest 1000000.
-246000000
Let l(a) = -11*a**3 - a**2 + 34*a + 121. Let v be l(-7). Round v to the nearest one hundred.
3600
Let b = 304.8 - 304.7999997854. What is b rounded to seven decimal places?
0.0000002
Let k = 0.180211182023 - -87773.878799817977. Let c = 87774 - k. Let o = -0.059 - c. Round o to six dps.
0.000011
Let x(b) = 69460*b**2 + 42*b + 204. Let h be x(18). Round h to the nearest one hundred thousand.
22500000
Let m = 31894.3 - 30185. What is m rounded to the nearest ten?
1710
Suppose 0 = -0*c - c - 8. Let i be 1405278/4 + c/(-16). Let t = i - 501320. What is t rounded to the nearest 100000?
-200000
Let x = -2136.3953 + 2136. What is x rounded to 2 decimal places?
-0.4
Suppose -m + 0*m + 3*v = -11, 5*m - 2*v - 3 = 0. Let w be (-102 - (6 - 8))*(7 - m). Round w to the nearest 100.
-800
Suppose 0*n - n = -4*q - 4059229, 3*n = -2*q + 12177729. Suppose 0 = 7*g - 4654457 - n. Let r = -3144814 + g. What is r rounded to the nearest 1000000?
-2000000
Let b = -8977.00003801 + 8977. Round b to 6 dps.
-0.000038
Suppose -758395 = -16*g + 20*g - 5*s, 2*s + 18 = 0. Round g to the nearest ten thousand.
-190000
Let g(z) = z**3 + z**2 + 6. Let y be g(0). Suppose -y*c - 63830 = 7*c. What is c rounded to the nearest one thousand?
-5000
Let c = -41.9 - 505.1. Let o = -159 - c. Let h = o + -366.3. Round h to the nearest integer.
22
Let y be (-4135564)/(-36) + 2/9. Suppose y = b + 948. Let i = 12929 - b. What is i rounded to the nearest 10000?
-100000
Let i = 55.72293 + -55.472. Round i to 1 decimal place.
0.3
Let j = -48.598155 + 278.5982342. Let f = j + -230. What is f rounded to 5 decimal places?
0.00008
Suppose 0 = -6*r + 2*r + 11196. Suppose -5*d - r = 3*o, 11 = 4*o + 3. Round d to the nearest 100.
-600
Let w = 173.5 + -172.021. Let r = -85 - -83.64. Let n = r + w. What is n rounded to two decimal places?
0.12
Let a = 50.4 + -50.4002378. What is a rounded to 5 dps?
-0.00024
Let f = -8677.05 + 8358. Round f to the nearest ten.
-320
Let u = -851778 - -9055578. What is u rounded to the nearest one hundred thousand?
8200000
Let h = 1493972888368 - 1493972917794.37376882. Let y = -29348.37377 - h. Let s = -78 + y. Round s to 7 decimal places.
-0.0000012
Let i = -2072 + 2071.7589. What is i rounded to one decimal place?
-0.2
Let i = -0.285 + 0.094. Let z = i - 0.044. Let w = z + 0.1805. What is w rounded to two decimal places?
-0.05
Suppose -13*p + 4*p = 43*p - 2609828000. What is p rounded to the nearest 1000000?
50000000
Suppose -4*n - 7 + 23 = 2*j, 4*n - 16 = -5*j. Suppose 5*o = -j*o + 35. Suppose u - o*u = 8040. What is u rounded to the nearest 100?
-1300
Let j = 24709 + -23065.3. Round j to the nearest one hundred.
1600
Let j = 0.856534 - -700427.143466. Let q = 700427.95499885 - j. Let h = q - -0.045. Round h to seven dps.
-0.0000012
Let i = -24 - -24.031. Let f = -0.076 + i. Let t = 0.835 + f. Round t to 1 decimal place.
0.8
Suppose -x = -2*k + 4033, 2 = -4*k + 18. Let r = -527 - x. Suppose 2*n = -g + r, g + n + 10501 = 4*g. What is g rounded to the nearest one hundred?
3500
Let g = 1.78329937776 + -1.7833. What is g rounded to seven dps?
-0.0000006
Let w = 6480.99857 + -6481. Round w to three dps.
-0.001
Let x = 254 + -252. Let i(z) = 1943*z**2 + 4*z. Let f be i(x). What is f rounded to the nearest ten thousand?
10000
Let l = 431.95 + -431.9441129. Round l to four decimal places.
0.0059
Let p = -262.0452 - -0.0452. Let v = 262.0312 + p. What is v rounded to 3 decimal places?
0.031
Let a = -0.2481 + 0.26454. What is a rounded to three decimal places?
0.016
Let q = -0.071192 + 0.07204122. What is q rounded to four decimal places?
0.0008
Let s = -3020.24 - -2889.5. Round s to the nearest integer.
-131
Let l = 4.56601 - 0.04401. Let t = l + 0.028. Let s = -0.35 + t. Round s to zero decimal places.
4
Let p = -1896.60809 - -1896.7. Round p to three decimal places.
0.092
Let g = 1.49 - 0.15. Let z = -3.71 + g. What is z rounded to the nearest integer?
-2
Let p(b) = 2*b + 37. Suppose -3*c + 2*y = 64, -c - 16 = 2*y - 0. Let q be p(c). Let d(l) = 39333*l**2 + 3. Let x be d(q). Round x to the nearest 10000.
350000
Let l = 949.499121 - 949.5. Round l to
|
{
"pile_set_name": "DM Mathematics"
}
|
s the second smallest value in -5, -2.12, -55, 2?
-5
What is the third smallest value in -1/4, -8, -4, 6?
-1/4
Which is the fourth smallest value? (a) -2 (b) 0 (c) 0.2 (d) -105
c
Which is the smallest value? (a) 0.3 (b) 1 (c) -7/9 (d) 0
c
What is the fourth smallest value in -3/7, 34, 10, -1/5?
34
Which is the fourth biggest value? (a) 48/7 (b) 2/7 (c) 0.2 (d) -4 (e) -0.4
e
Which is the third biggest value? (a) 6 (b) -0.5 (c) -14
c
Which is the biggest value? (a) 0 (b) -9 (c) 0.16
c
Which is the second biggest value? (a) 0.041 (b) 3 (c) 2
c
What is the smallest value in 0, 362, -4/3, 1?
-4/3
Which is the biggest value? (a) -0.04 (b) 1/4 (c) 0.4
c
Which is the biggest value? (a) 3/7 (b) 5 (c) 20
c
What is the second biggest value in 0.4, 5/3, -3, -86?
0.4
What is the biggest value in 0.5, 3.97, 0.2, 0.13?
3.97
What is the smallest value in -20, 3, 0, 0.2?
-20
Which is the biggest value? (a) 1 (b) 758 (c) 1/4 (d) 1/10
b
Which is the third smallest value? (a) -5 (b) 0 (c) -58
b
Which is the third smallest value? (a) 5 (b) 2/35 (c) -3/7 (d) -220 (e) 3
b
Which is the fourth biggest value? (a) -3.3 (b) -60 (c) 0.4 (d) 0
b
Which is the third smallest value? (a) -2/9 (b) -4 (c) -33 (d) 0.5 (e) 0.1
a
Which is the second biggest value? (a) -1 (b) 2/15 (c) -7 (d) -0.14
d
Which is the fourth biggest value? (a) -4 (b) 4/5 (c) 0.4 (d) 0.5
a
Which is the third biggest value? (a) -2 (b) -14/3 (c) -3 (d) 6
c
Which is the second biggest value? (a) -76 (b) 2/7 (c) -1 (d) -2
c
Which is the smallest value? (a) -0.3 (b) 1 (c) 2/11 (d) 10/3
a
What is the fourth biggest value in 2, -2, 3, -0.2, -3?
-2
Which is the fourth smallest value? (a) 0 (b) -2/11 (c) -2 (d) -92
a
Which is the smallest value? (a) -2 (b) 0.4 (c) 2 (d) 4
a
Which is the third biggest value? (a) 5 (b) -2/37 (c) 1/2
b
Which is the smallest value? (a) 2 (b) -2 (c) 0.1 (d) 5/4
b
Which is the third smallest value? (a) -0.2 (b) -3 (c) 269
c
Which is the smallest value? (a) 5 (b) 9 (c) -1
c
Which is the biggest value? (a) -2.9 (b) 0.07 (c) 4 (d) -4 (e) 7
e
Which is the third smallest value? (a) 2 (b) 0 (c) 438
c
What is the third smallest value in -3, -1, -5, 0.298?
-1
What is the third biggest value in 1/4, 8, -1/4, -1.1?
-1/4
Which is the smallest value? (a) 1/3 (b) 15 (c) 1 (d) -3 (e) 2/7
d
What is the fourth smallest value in -2.67, 4, -1/8, -0.7?
4
Which is the smallest value? (a) -1/24 (b) -0.018 (c) -3
c
Which is the fourth smallest value? (a) -4 (b) 0.09 (c) 0.3 (d) 0.5
d
Which is the third biggest value? (a) 6/7 (b) -5 (c) -7/9 (d) 1
c
What is the smallest value in -3, 4, -13/5, 1?
-3
Which is the third smallest value? (a) 0.02639 (b) -0.3 (c) 0.2
c
What is the second smallest value in 0.5, 4/5, 0.2, 0.0444?
0.2
What is the fifth smallest value in -1/2, -0.1, 4.2, -3/2, -7?
4.2
What is the third smallest value in -0.1, 4, -0.12?
4
Which is the second smallest value? (a) -4 (b) -32 (c) 0.2 (d) 1/18 (e) 2
a
What is the fourth biggest value in 0.4, 14, -0.4, 0.05?
-0.4
Which is the second biggest value? (a) -220 (b) 5 (c) 0.5
c
What is the third smallest value in -522, -0.5, 6?
6
Which is the third biggest value? (a) 2/5 (b) -15.9 (c) 1 (d) 2
a
Which is the second biggest value? (a) 4484 (b) 0 (c) -0.5
b
Which is the third smallest value? (a) -9 (b) -1/2 (c) 0.2
c
Which is the biggest value? (a) 1 (b) -475 (c) 0.1
a
What is the fourth biggest value in 7/3, -3/7, 0.2, 0.1?
-3/7
What is the second smallest value in 127, -2/7, -5, -3?
-3
What is the third biggest value in 0.5, 0.1, -0.3, 1/3, 2/37?
0.1
Which is the fourth biggest value? (a) 1 (b) -3 (c) -0.9 (d) -0.03 (e) 2
c
Which is the third smallest value? (a) -3 (b) 5 (c) 14 (d) -9
b
What is the fifth biggest value in 0.2, 1/2, -1, 64/3, -2?
-2
What is the third biggest value in -3/4, 12, 2/7, 0.1?
0.1
What is the second biggest value in 0.5, -172/21, -1?
-1
What is the second biggest value in -4, -0.119, 0.1?
-0.119
What is the second smallest value in -3/8, -0.3, 0.31?
-0.3
What is the third smallest value in 1/4, 5/93, 0.5?
0.5
What is the third smallest value in -5, 0.5, -3, -3/5, 0?
-3/5
What is the second smallest value in -13, -8, -2/7?
-8
Which is the second smallest value? (a) -1 (b) -6.1 (c) -4/5 (d) -15 (e) 1
b
Which is the fourth smallest value? (a) -2 (b) 0 (c) -0.03 (d) 3/5 (e) -3
b
What is the biggest value in -5, -16, -6?
-5
What is the biggest value in -3/4, -0.2, -0.4, 2/39?
2/39
Which is the fourth smallest value? (a) -4 (b) -1/7 (c) 33 (d) 3/4
c
What is the third smallest value in -5, 2/5, 0.04, -2/11?
0.04
Which is the third biggest value? (a) -5/6 (b) -2.3 (c) 0.4 (d) -2
d
Which is the smallest value? (a) 4 (b) -2/9 (c) -2 (d) -5
d
Which is the second smallest value? (a) -42 (b) 1 (c) -83 (d) 1/6
a
Which is the fifth biggest value? (a) -4/3 (b) 1 (c) -0.03 (d) 3 (e) 4/7
a
Which is the fourth biggest value? (a) 1 (b) -1/27 (c) 0.5 (d) 12/5 (e) 2
c
Which is the third smallest value? (a) 6 (b) 0.1 (c) -0.112
a
Which is the fourth smallest value? (a) 3/11 (b) 0 (c) -34 (d) 2/7 (e) -3
a
Which is the third biggest value? (a) 1/5 (b) 2/15 (c) -0.9 (d) -4
c
What is the smallest value in -5, 3, 0.1, 2?
-5
Which is the second biggest value? (a) -2/19 (b) -0.21 (c) 1
a
Which is the smallest value? (a) -2 (b) -6 (c) -0.04 (d) -0.4
b
Which is the smallest value? (a) 0.5 (b) -288 (c) 1.4
b
What is the biggest value in 1/40, 3, 2/15, 5?
5
What is the second biggest value in 2, -2/15, 0.2, -5, 3?
2
What is the third smallest value in -5, -1/672, -1/5?
-1/672
What is the second biggest value in -11/4, 0.13, 1/2, 0?
0.13
Which is the third biggest value? (a) 5 (b) -2618 (c) 1
b
What is the fourth smallest value in -0.4, 3, 0.3, 4?
4
Which is the second biggest value? (a) -88 (b) 0.1 (c) 0
c
Which is the third smallest value? (a) -2 (b) -2.4 (c) 48
c
What is the third smallest value in 2, 1, -4, 12?
2
Which is the second biggest value? (a) 5 (b) -29 (c) 2/45
c
What is the third smallest value in -0.2, -1, -1/13?
-1/13
What is the third biggest value in -251, 3, 2/11?
-251
What is the second biggest value in -0.4, 41, -0.5, 1/5, -12?
1/5
Which is the third biggest value? (a) -0.3 (b) -17/4 (c) 6 (d) -2 (e) 2/5
a
What is the fourth smallest value in -0.04, 0.3, 8, 2/9, -1/2?
0.3
Which is the biggest value? (a) 2841 (b) 7 (c) 1/5
a
What is the third biggest value in -1421, -0.5, -2?
-1421
What is the third biggest value in -0.087, 2, -4/9, -6?
-4/9
What is the second biggest value in 2/1407, 1, 3, -3?
1
What is the second biggest value in 31, 3, -0.3?
3
Which is the third smallest value? (a) 0.04 (b) 4 (c) 5
c
Which is the fourth smallest value? (a) -1.6 (b) -5 (c) 5 (d) 2/13
c
Which is the second smallest value? (a) 4 (b) -1.7 (c) -3/4 (d) 1
c
What is the third smallest value in -0.23, 2, -3, -1?
-0.23
What is the biggest value in 5.23, -4, -0.1?
5.23
What is the biggest value in -5, 1.9, 62.5?
62.5
Which is the second smallest value? (a) -0.5 (b) -7 (c) 0.03
a
Which is the third biggest value? (a) 2/29 (b) -0.2 (c) 3/8 (d) 4
a
What is the third smallest value in 1.6, -3/7, -5, 2/17, 4?
2/17
What is the fifth biggest value in 5, -2, 1/4, 0.5, -6?
-6
What is the second biggest value in 28, -1, -2/11?
-2/11
What is the second biggest value in 7, -0.4, -0.5?
-0.4
Which is the smallest value? (a) -0.5 (b) 189 (c) -1
c
What is the third smallest value in 16.8, -23, -1/2?
16.8
Which is the second smallest value? (a) 2/13 (b) 34 (c) 2/7
c
Which is the third biggest value? (a) 1/3 (b) 6 (c) -2/25
c
Which is the biggest value? (a) -1/5 (b) -5 (c) 0.3
c
What is the third biggest value in -15.8, 5, 3?
-15.8
What is the second smallest value in 35, 0.08, -1?
0.08
Which is the smallest value? (a) -2/25 (b) -0.4 (c) -0.226
b
What is the second biggest value in -5, 1/6, -4, -19?
-4
What is the third smallest value in -32, -4, 4?
4
What is the third biggest value in -2, 610, -3, 0.2?
-2
What is the second smallest value in -1/4, -264, 2/59?
-1/4
Which is the third smallest value? (a) -1/58 (b) -3/4 (c
|
{
"pile_set_name": "DM Mathematics"
}
|
rmine -2*c(p) + 5*u(p).
2*p**2 + 29*p
Let q(g) = 6*g - 4. Let j(k) = -32 + 66 - 35 + 2*k. What is -7*j(y) + 2*q(y)?
-2*y - 1
Let p(k) = 7*k**3 - k**2 - 2*k + 3. Let d(m) be the second derivative of m**5 - m**4/6 - 5*m**3/6 + 4*m**2 + 49*m. Determine -3*d(q) + 8*p(q).
-4*q**3 - 2*q**2 - q
Let x(t) = 5*t**2 + 2. Let k(y) = y**3 + 9*y**2 + 4. Give -3*k(d) + 5*x(d).
-3*d**3 - 2*d**2 - 2
Suppose n + 3*a + 18 = -2*a, 0 = a + 3. Let t = -6 - -5. Let b(c) = -c**2 - 4*c - 3. Let s(v) = v**2 + v + 1. What is n*s(h) + t*b(h)?
-2*h**2 + h
Let m(g) = -g**3 - g**2 + g. Let k(l) = 20*l**3 + 25*l**2 - 25*l. Determine -3*k(r) - 75*m(r).
15*r**3
Let l(d) be the third derivative of d**5/10 - d**3/3 - 2*d**2. Let z(v) = 5*v**2 - 2. Determine 3*l(x) - 4*z(x).
-2*x**2 + 2
Let t = -28 - -31. Let v(f) = -3*f**3 - 5*f**2 + 5. Let q(u) = -2*u**3 - 4*u**2 + 4. What is t*v(l) - 4*q(l)?
-l**3 + l**2 - 1
Let a(z) = 17*z - 1. Let b(x) = -6*x. What is 4*a(t) + 11*b(t)?
2*t - 4
Let s(l) = -10*l**2. Let c(p) = p**2. Give -15*c(y) - 3*s(y).
15*y**2
Let g(j) = 11*j**3 - 4. Let y(s) = -21*s**3 + 7. What is -5*g(m) - 3*y(m)?
8*m**3 - 1
Suppose -z - 88 = -23*z. Let d(x) = -6*x**2 - 3*x. Let j(i) be the second derivative of 7*i**4/12 + i**3/2 + i. Give z*j(c) + 5*d(c).
-2*c**2 - 3*c
Let z(q) = q - 2. Let x be z(2). Let g(b) = 1 + x*b**2 + b**2 - 3. Let m(c) = 4*c**2 + c - 7. Calculate -7*g(o) + 2*m(o).
o**2 + 2*o
Let l(z) = -z**2 + 4*z - 2. Let f(h) = h**2 - h + 1. Calculate 3*f(j) + l(j).
2*j**2 + j + 1
Let j(d) = 2*d - 1. Let q(k) = 3*k - 2. Let l be 30/4*12/(-18). What is l*q(u) + 8*j(u)?
u + 2
Let y(t) be the second derivative of -t**2/2 + 4*t. Let f(u) = -u**3 - 5. Suppose -4*x = -3*x + 3. Let g be ((-1)/(-2))/(1/2). Determine g*f(w) + x*y(w).
-w**3 - 2
Let c(q) = q**3 - 3*q**2 - 4*q - 3. Let f(d) = -3*d**3 + 8*d**2 + 11*d + 10. What is -11*c(j) - 4*f(j)?
j**3 + j**2 - 7
Let c(y) = -y**3 - y**2 - y - 2. Suppose 5*u = -0*u - 3*g - 1, -2*u + 6 = -2*g. Let s(w) = w + 1. Determine u*c(z) + 2*s(z).
-z**3 - z**2 + z
Suppose -u = 13 - 15. Let b(r) = 88*r**3 - 86*r**3 - 3 + r**2 + 2*r**u. Let a(p) = -5*p**3 - 7*p**2 + 7. What is 6*a(v) + 14*b(v)?
-2*v**3
Let l(v) = -3 + 4*v**2 - 429*v + 429*v. Let a(c) = -21*c**2 - 9*c + 22. Let f(s) = 11*s**2 + 4*s - 11. Let u(n) = 4*a(n) + 9*f(n). Give -22*l(x) + 6*u(x).
2*x**2
Let f = 4 - 2. Let b(j) = -2*j. Let p(n) = -5*n + 1. Determine f*p(t) - 6*b(t).
2*t + 2
Let h(f) = -2*f**3 + 6*f**2 + 6*f - 2. Let y(x) = x**3 - 5*x**2 - 5*x + 2. Give 3*h(i) + 4*y(i).
-2*i**3 - 2*i**2 - 2*i + 2
Let x(n) = n + 1. Let h(v) = v + 11. Give -h(f) + 2*x(f).
f - 9
Let j(k) = -8*k - 80. Let o(f) = 2*f + 20. What is 2*j(h) + 9*o(h)?
2*h + 20
Let h(u) = 7*u**3 - 3*u**2 + 6*u + 8. Let r(p) = -13*p**3 + 5*p**2 - 11*p - 15. Determine -11*h(v) - 6*r(v).
v**3 + 3*v**2 + 2
Let f(y) = -92*y**3 + 3*y**2 - 3*y. Let i(n) = -275*n**3 + 8*n**2 - 8*n. Determine 8*f(b) - 3*i(b).
89*b**3
Let z(g) = g**3 + g**2 - g + 1. Let d(k) = 6*k**3 + 4*k**2 - 5*k + 6. Suppose 0 = -5*n - 4*l + 1, -4*l + 2 = 3*n + 3. Give n*d(j) - 4*z(j).
2*j**3 - j + 2
Suppose -4*t + 0 - 4 = 0. Let m(c) = c**3 - 29*c**2 + 29*c - 29. Let a be m(28). Let k(b) = 1. Let i(d) = 2*d - 2. Calculate a*k(w) + t*i(w).
-2*w + 1
Let b(v) = 5*v**2 - v + 2. Let t(n) = -n. Give -b(q) + 4*t(q).
-5*q**2 - 3*q - 2
Let z(c) = c - 1. Let t(v) = -v**2 - 3*v + 9. Let q(x) = t(x) + 5*z(x). Let l(m) = -m - 1. Calculate -3*l(d) - q(d).
d**2 + d - 1
Let x(z) = -z. Let t(n) = -7*n + 1. Determine t(f) - 6*x(f).
-f + 1
Let c(p) = 3*p - 15. Let i(s) = 1. What is c(b) + 15*i(b)?
3*b
Let c(r) = -4*r + 3. Let y(v) = -9*v + 7. Suppose 4*q = 2*b - 14, 5 = -2*q + 2*b - 5. Calculate q*y(f) + 5*c(f).
-2*f + 1
Let a(q) = 128*q**2 - 61*q**2 - 1 - 2*q - 69*q**2. Let o(p) = p. Calculate -a(z) - 4*o(z).
2*z**2 - 2*z + 1
Let f(p) = 53*p**2 - 4*p + 4. Let j(a) = a**2 - a + 1. Determine -f(n) + 4*j(n).
-49*n**2
Let j(a) = -7*a**2 + a - 1. Suppose -20*c + 16*c - 28 = 0. Let b(h) = -8*h**2 + h - 1. Determine c*j(i) + 6*b(i).
i**2 - i + 1
Let q(s) = 3*s**3 + 8*s. Let u(g) = -9*g - 63*g**3 + 124*g**3 - 63*g**3 + 2*g. Determine 4*q(h) + 5*u(h).
2*h**3 - 3*h
Let r(h) = -6*h**3 - 5*h**2 - 4*h - 2. Let p be 2/(-9) - 29/(-9). Let y = p - 7. Let d(v) = -13*v**3 - 11*v**2 - 9*v - 5. Calculate y*d(a) + 9*r(a).
-2*a**3 - a**2 + 2
Let p be (9 - 4)*(1 + 0). Let b(c) = 3*c**3 - 3*c**3 + c**2 + 7*c**3 - 6*c**2. Let o(j) = -6*j**2 - 5*j + 23*j**3 - 15*j**3 + 5*j. Calculate p*o(m) - 6*b(m).
-2*m**3
Let d(n) = n + 2. Let x(p) = p**2 + 2*p + 5. Give -8*d(a) + 3*x(a).
3*a**2 - 2*a - 1
Let g(w) = w. Let a(h) = -3*h**2 + 2*h**2 - h - 2*h - 1. Let i(b) = b + 27. Let l be i(0). Suppose -z = 5*u - l, 2*z + 4 = u + 3. Calculate z*a(q) + 5*g(q).
-2*q**2 - q - 2
Let x(r) = -r**2. Let a = -24 - -26. Let d(i) = -i**2 - 1. What is a*d(n) - 5*x(n)?
3*n**2 - 2
Let q(t) be the second derivative of -t**3/6 - 2*t. Let o(l) = -l**2 + 7*l - 4. Let n be o(6). Let m(v) = 3*v. Calculate n*q(j) + m(j).
j
Let z(i) = -i**2 - 3*i - 7. Let x(b) = b**2 + b + 4. Calculate -5*x(o) - 3*z(o).
-2*o**2 + 4*o + 1
Let x(f) = 2*f**2 - 8*f + 3. Let b be x(3). Let z(j) = -j**2 + 4*j - 6. Let w(v) = -3*v + 5. Determine b*z(u) - 4*w(u).
3*u**2 - 2
Let b(u) = -2*u**3 - 5*u**2 + 9. Let h(c) = 2*c**2. Let n be h(1). Let s be (-37)/5 + n/5. Let v(a) = a**3 + 3*a**2 - 5. What is s*v(z) - 4*b(z)?
z**3 - z**2 - 1
Let o(a) = -5*a - 810*a**2 - 2*a**3 + 810*a**2. Let d(k) = -2*k**3 - 4*k. What is 5*d(v) - 4*o(v)?
-2*v**3
Let y(p) = p**3 + 4*p**2 + 3*p + 7. Let l be y(-4). Let v(r) = -2*r**2 - 2. Let h(m) = 4*m**2 + m + 5. Calculate l*v(t) - 2*h(t).
2*t**2 - 2*t
Let o(l) = 7*l - 5. Let z(x) = -x + 1. Let t(a) = o(a) + 6*z(a). Let i(v) = v. Give i(g) + t(g).
2*g + 1
Let c(k) = 27*k - 1. Let g(d) = -82*d + 3. Calculate -11*c(l) - 4*g(l).
31*l - 1
Let o(z) = -z + 1. Let u(t) be the second derivative of -t**5/10 - t**3 + 2*t**2 - 8*t. Determine 4*o(y) - u(y).
2*y**3 + 2*y
Let l(i) = 7*i**2 + 4*i + 4. Let f(w) = 20*w**2 + 11*w + 9. Let h(s) = 40*s**2 + 22*s + 17. Let u(y) = 5*f(y) - 2*h(y). What is 11*l(c) - 4*u(c)?
-3*c**2
Let q(y) = 5*y + 1. Let d(z) = 0 - 4*z - 2 - 5*z. Let p be (-56)/12 - (100/(-15) - -5). Determine p*d(r) - 5*q(r).
2*r + 1
Let v = 15 + -16. Let l(c) = -c - 1. Let b(w) = -15*w**2 + 15*w + 15. Let n(r) = v*b(r) - 2*l(r). Let q(u) = -7*u**2 + 6*u + 6. Give 6*n(y) + 13*q(y).
-y**2
Let m(c) = -5*c**3 - 3*c**2 + 2*c + 2. Let t(h) = -h**3 + 1. Let o(u) = m(u) - 4*t(u). Let r(q) = q**3 + q**2 - 4 - 1 + 5 + 1. Give -o(b) - 3*r(b).
-2*b**3 - 2*b - 1
Let l(y) = -4*y**2 - 7*y + 13. Let g(j) = -2*j**2 - 4*j + 7. Determine 11*g(p) - 6*l(p).
2*p**2 - 2*p - 1
Let h(z) = 2*z**2 + z - 2. Let q(k) = -3. Let y(x) = -4. Let t(l) = -7*q(l) + 5*y(l). Give -h(d) - 4*t(d).
-2*d**2 - d - 2
Let t(u) = 6*u + 6. Suppose -n = n - 6. Suppose -4*i + n*i = -10. Let h(g) be the third derivative of -g**4/12 - g**3/3 - g**2. Calculate i*h(c) + 3*t(c).
-2*c - 2
Suppose -10*w = 5 - 35. Let g(i) = -4*i**2 - i - 2. Let v(k) = 3*k**2 + 1. Calculate w*v(z) + 2*g(z).
z**2 - 2*z - 1
Let z(s) = -s**2 - 13*s - 14. Let w be z(-13). Let t(v) = -2*v - 7. Let a(j) = 6*j + 20. Calculate w*t(d) - 5*a(d).
-2*d - 2
Let t(r) = 3*r + 2. Let i(x) = x**3 + 5*x**2 + 4*x + 2. Let a be i(-2). Let y(o) = -2 - 28*o - a - 3 + 12*o. Calculate -11*t(v) - 2*y(v).
-v
Let f(b) = -6 - b - b + 6*b - b. Let h(g) = -g + 2. Let n be ((-4)/6)/((-6)/99). Give n*h(t) + 4*f(t).
t - 2
Let o(s) be the first derivative of -2 - 4/3*s**3 + 1/2*s**2 + 3*s. Let q(i) = -i**2 + 1. Give -o(v) + 5*q(v).
-v**2 - v + 2
Let n(y) = y**2 + y. Let t(j) = 2*j**2 + 4*j - 1. Suppose 7*w + z + 5 = 2*w, -2*w - 24 = -4*z. Let v be 9/(w - 1) - -5. Determine v*t(i) - 6*n(i).
-2*i**2 + 2*i - 2
Let h(w) = 5*w**2 + 2*w - 24. Let v(m) = -m**2. What is h(l) + 6*v(l)?
-l**2 + 2*l - 24
Let m = -4 - -5. Let q be -1 + 0 + (-1 - m). Let i be (-2)/q*(-27)/(-6). Let j(g) = 5*g + 1. Let d(h) = -6*h - 1. Calculate i*d(z) + 4*j(z).
2*z + 1
Let a(s) be the second derivative of s**2/2 - s. Let u(q) be the second derivative of -q**3/3 - q**2/2 + 21*q. Suppose 0 = -2*l + 3 - 1. Give l*u(k) + 2*a(k).
-2*k + 1
Let s(k) = k**2 - 1. Let x(j) = -2*j - 6 + 6*j**2 + 1 + j**3 + j - 3*j**3. Calculate 6*s(d) - x(d).
2*d**3 + d - 1
Let v(
|
{
"pile_set_name": "DM Mathematics"
}
|
b = 52 - 261/5. Sort 1.3, -0.1, g, b in increasing order.
g, b, -0.1, 1.3
Let t(c) = -7*c + 1. Let g be t(-1). Suppose -3*z - 3*w = -g + 2, -w - 4 = 3*z. Sort 4, z, 3.
z, 3, 4
Let j(c) = c - 9. Let o be j(5). Let q = -300 + 297. Put q, -2, o in ascending order.
o, q, -2
Suppose 5*j = -3*w + 22 + 5, 0 = 4*j - w - 8. Suppose 5*v - m - 9 = 7, -5*m = -5*v. Let d = -3 + v. Put 4, d, j in decreasing order.
4, j, d
Let d = 3.1 - 1.1. Let l(f) be the second derivative of f**4/12 + f**3/2 - 2*f**2 - 16*f. Let x be l(-5). Sort 0, x, d in descending order.
x, d, 0
Let o = 29 - 29. Sort -9, 2, o.
-9, o, 2
Suppose p - 90 = -2*g + 6*p, -255 = -5*g + 5*p. Let v = 51 - g. Sort 0, -2, v.
v, -2, 0
Let l be (38/(-475)*10)/((-2)/10). Suppose -4*n + 24 = -2*y, 0 = -n - n + 2*y + 14. Put l, 2, n in decreasing order.
n, l, 2
Let d = -42 + 41.98. Sort d, 1, 3/7 in decreasing order.
1, 3/7, d
Let p = -33.91 + 34. Sort -0.3, -4, p in descending order.
p, -0.3, -4
Let x = -91 - -90. Let i = x + -2. Sort 0.2, 5, i in descending order.
5, 0.2, i
Suppose 123*v - 32 = 115*v. Put 1, v, 2, -2 in ascending order.
-2, 1, 2, v
Suppose 2*c = 5*q + 73, c - 5*q = 3*c - 23. Let d be (-12)/9*(-24)/(-32). Put c, -2, d, -5 in descending order.
c, d, -2, -5
Suppose 4*w = w + 54. Suppose 3*i - 4*n = w, 2*n + 2*n + 2 = -5*i. Let d be (-40)/16*16/(-10). Put -3, d, i in increasing order.
-3, i, d
Suppose 3*i + 52 = -i. Let t = i + 16. Suppose 4*y = -5*r - 22, -t*y + 2 = -4*r - y. Put -3, 2, r in decreasing order.
2, r, -3
Suppose 3*n + g + 37 = n, 5*n = -5*g - 85. Let x = n + 24. Sort -32, x, 3 in decreasing order.
x, 3, -32
Suppose 5*u - 42 = c, u + 3*c = -3*u + 26. Suppose u = -3*a + 7*a. Let b be (0 - 1) + (-6)/(-1). Sort -2/7, a, b in descending order.
b, a, -2/7
Let t = 15.85 - -4.15. Put 5, t, -1 in ascending order.
-1, 5, t
Let y = -25.6 + 25.5. Sort 36, -3, -2, y.
-3, -2, y, 36
Let u = 4 - 1. Let g = -4159 + 4164. Sort 7, u, -4, g.
-4, u, g, 7
Let j = -43 + 45. Sort -10, 5, j, -4 in increasing order.
-10, -4, j, 5
Suppose -5*l = 14*d - 9*d - 65, 4*d + 3*l = 53. Put d, -4, -18 in descending order.
d, -4, -18
Let z be ((-16)/3)/4 - 8/(-24). Let m be z/(-6) + (-8)/16. Sort 5, -2/17, m.
m, -2/17, 5
Let n = -0.11 - -0.28. Let m = 812 + -812. Sort n, -5, m in ascending order.
-5, m, n
Let h = 305 + -609/2. Let n = -1 - -1.2. Let u = 1/145 - -577/435. Put n, h, u in descending order.
u, h, n
Suppose -21*a - 48 = 3*a. Suppose 3*g - 8 = -4*j, -2*g + j - 33 = -4*j. Sort g, 2, 5, a in ascending order.
g, a, 2, 5
Let r(k) = -k**3 - 4*k**2 - 2*k + 2. Let z be r(-2). Let d(c) = -c**2 + 23*c - 127. Let q be d(14). Sort q, 5, -4, z.
-4, z, q, 5
Let r(u) = u**3 - 5*u**2 - 25*u + 128. Let p be r(5). Put -3, 5, 30, p in decreasing order.
30, 5, p, -3
Let t be (-10)/(-92)*(-10)/(-75). Put t, 0, 2/9, -2 in increasing order.
-2, 0, t, 2/9
Suppose 21 = -2*j + 5*j. Suppose 5*q + 6 = -4*k, -6*q + 1 = -4*q + 5*k. Suppose -4*n = n. Sort q, n, j in decreasing order.
j, n, q
Let g = 15 + -11. Let l = 21 - 17. Let v be -3 + (l - (-15)/(-6)). Put 1/6, v, g in decreasing order.
g, 1/6, v
Let v = 13.12 - 10.12. Sort -0.03, -5, v.
-5, -0.03, v
Let q = -1038 - -1023. Sort 0, -3, -5, q in increasing order.
q, -5, -3, 0
Let h be (3/4)/((-3)/(-2)). Let d(b) = b**2 - 7*b. Let p be d(7). Suppose y + 4 = p, 3*i - 2 = -y + 9. Put -0.2, h, i in descending order.
i, h, -0.2
Let j = -11.8 - -17.5. Let d = j + -3.7. Put d, -4, 6 in descending order.
6, d, -4
Suppose 0 = 6*m - 4*m + 2*q + 6, -3 = q. Sort -5, m, 8 in descending order.
8, m, -5
Suppose 6 = -12*f + 30. Put -108, f, 4 in increasing order.
-108, f, 4
Let p = -2 - -24. Let u be 0 + 2 - (-5 + p). Let i = -73/5 - u. Put i, -3, 2 in decreasing order.
2, i, -3
Let x be (-9)/(-8)*8/(-6). Let o = 1734 - 1739. Put x, o, -0.4, 2 in decreasing order.
2, -0.4, x, o
Let z = 26.3 + -26.4. Put -4, z, -0.4, 76 in ascending order.
-4, -0.4, z, 76
Let y = 390.8 + -391. Let r = 2 + -2. Sort r, y, 0.4 in decreasing order.
0.4, r, y
Let f be 6/8 - 1/(-4). Let t = -201/145 + 46/29. Put f, t, -5, 2/3 in descending order.
f, 2/3, t, -5
Let g be ((-4)/(-20))/(7/70). Sort 0, 10, -2, g in decreasing order.
10, g, 0, -2
Let l be (-185 - -1)*10/10. Let f = -2022/11 - l. Let m = 0.57 - 0.37. Sort m, 3, f.
f, m, 3
Let c = 0.1 - 1.1. Let h = c + 7. Let l = 269 + -271. Put h, 2/17, l in decreasing order.
h, 2/17, l
Let v = -430159/283 - -1520. Let f = -857/2264 + v. Put -1, 2/5, f in increasing order.
-1, f, 2/5
Let o = 0.12 + -0.02. Put -2/15, -170, o in increasing order.
-170, -2/15, o
Let z = 2543/2028 - 2/507. Let l = -178/395 - -4/79. Sort -1, l, z.
-1, l, z
Suppose -2*c - 2*c = -h - 4, 0 = -5*h + 3*c + 31. Suppose -h = 23*x - 21*x. Sort 3, x, -3, 0 in decreasing order.
3, 0, -3, x
Suppose -3*s + 0*s = -6. Let k be -3 + 0 - s/1. Let v be -2 + k/(-9)*3. Sort v, -0.5, 4 in descending order.
4, v, -0.5
Let o be 145/(-30) - 7/42. Sort 1, -2, o, 7.
o, -2, 1, 7
Let p = -852 + 849. Put 4, p, -6, -4 in descending order.
4, p, -4, -6
Let b(f) = 2*f**3 + 35*f**2 + 150*f + 4. Let c be b(-10). Let n(h) = -h**2 + 5*h + 5. Let y be n(5). Sort 2, y, -2, c in descending order.
y, c, 2, -2
Let h = 0.1 - -3.9. Let i = h - 6. Let r = 0.3911 - -0.0089. Put -0.3, r, i in decreasing order.
r, -0.3, i
Let w = 314 + -226. Sort w, -4, -5 in ascending order.
-5, -4, w
Let w = -0.456 - -0.156. Let x = 37.8 + -38. Sort x, 0, -3/2, w in decreasing order.
0, x, w, -3/2
Suppose -a - 6 = -4*a. Let b = -5 + a. Suppose -10*j - 4*j = 0. Put j, 5, b in descending order.
5, j, b
Let a = -1.2 + 2.6. Let w = -174 + 181.4. Let m = w - a. Put m, 1/2, 1 in increasing order.
1/2, 1, m
Let i(x) = -x**2 + 7*x - 8. Let l be i(5). Suppose 3*b = 5*v + 23, -b + 13 = -3*v - 0*b. Let g be v + (3 - 4) + 1. Sort l, g, 4 in ascending order.
g, l, 4
Let m be (2 - 24)/((-4)/14). Put -2, 4, m in descending order.
m, 4, -2
Let q = 68.58 + 0.42. Let z = q + -66. Put 2, 1.3, z, -1/4 in descending order.
z, 2, 1.3, -1/4
Let l = 23 - -3. Let q = -1.18 + -3.82. Sort l, 2/5, q in ascending order.
q, 2/5, l
Suppose -4*y = -9 - 3. Suppose 2*j - 4 = j, 82 = -2*k + 4*j. Let i be (-6)/k - (-4)/(-22). Sort i, y, 2 in ascending order.
i, 2, y
Let n(r) = r**3 + 6*r**2 + 5*r - 3. Let p = -46 + 41. Let d be n(p). Let l = -7 - -5. Sort l, 5, d in ascending order.
d, l, 5
Suppose -211*r = -198*r - 39. Sort r, 0.2, -3/10 in decreasing order.
r, 0.2, -3/10
Suppose 67 = 2*m + 5*d + 8, 5*m - 138 = -3*d. Let l = -27 + m. Sort 5, -6, l in ascending order.
-6, l, 5
Let c = 40 + -60. Let b = c + 16. Let m = 335/8 + -42. Sort b, m, 0 in ascending order.
b, m, 0
Let x be 3 - (885/135 - (-12)/27). Suppose -4*l - 9 = 11. Sort 67, l, x.
l, x, 67
Let r = -8.9 + -39.1. Let j = r + 48.2. Put 6/19, j, -3, 0 in descending order.
6/19, j, 0, -3
Suppose -5*q + 7*q = -3*m - 4, -5*m = -5*q + 40. Sort -5, 1, m, -3.
-5, m, -3, 1
Let s = -0.205 - 66.995. Let d = -67 - s. Sort d, -3, 7, -0.1 in increasing order.
-3, -0.1, d, 7
Let t = 643 + -632. Sort 15, 5, t in decreasing order.
15, t, 5
Let i(p) = -8*p**2 + 4*p + 4. Let g be (-13 + 10)*(-2)/2. Let b be i(g). Let j = b + 335/6. Sort 0, -4, j.
-4, j, 0
Let k = 12.55 - 12.42. Sort 1/3, -0.5, k in ascending order.
-0.5, k, 1/3
Let h = 3 - 3.3. Let j = 229/4 + -58. Let l = 4.8 + -0.8. Put j, h, l in ascending order.
j, h, l
Let o = 989 - 987. Put -11, -0.3, o in ascending order.
-11, -0.3, o
Let i = 5 + -4.91. Let w = -0.16 + i. Let z = w + 0.57. Sort z, 5, -3/2 in increasing order.
-3/2, z, 5
Let z = -0.0738 - -0.2738. Let w = -0.06 + 4.06. Sort z, w, -0.4, -4.
-4, -0.4, z, w
Suppose -3*h = -5*k + 44 - 129, 0 = 4*k + 5*h + 68. Sort 0, -2, k in ascending order.
k, -2, 0
Let r = 0.5 + -4.5. Let u = -15045/2 + 7523. Sort r, u, 0.2, -7 in ascending order.
-7, r, 0.2, u
Let m be 2/6*(1 - -2). Let f(b) = -b**2 + 23*b + 26. Let h be f(24). Suppose -h*j + 11*j - 45 = 0. Sort 0, j, m.
0, m, j
Let m be 0 + ((-119)/42 - -3). Let l = 12 + -7. Sort -1, l, m in decreasing order.
l, m, -1
Let y = -1.863 - -1.9. Let n = -1.037 + y. Sort 2/5, -0.3, n, 0.2 in decreasing order.
2/5, 0.2, -0.3, n
Let t(m) = m**3 + 18*m**2 + 17*m + 19. Let s be t(-17). Suppose -125 - 46 = -s*w. Sort 4, 2, w.
2, 4, w
Suppose p - 5*p - k + 23 = 0, 0 = p + 2*k - 11. Let r(c) = 7
|
{
"pile_set_name": "DM Mathematics"
}
|
4
Calculate prob of picking 1 c and 3 a when four letters picked without replacement from aaaaacaaaaac.
16/33
Two letters picked without replacement from hhhgghhhgghhhg. What is prob of picking 2 g?
10/91
Two letters picked without replacement from jjacacdccab. Give prob of picking 1 a and 1 j.
6/55
Calculate prob of picking 2 u when two letters picked without replacement from lulluull.
3/28
What is prob of picking 1 z and 1 v when two letters picked without replacement from {h: 1, v: 2, d: 3, z: 7, m: 1}?
2/13
Three letters picked without replacement from mmmmm. Give prob of picking 3 m.
1
Three letters picked without replacement from {g: 1, v: 4, l: 3, r: 5}. Give prob of picking 1 v and 2 r.
20/143
Calculate prob of picking 1 v, 1 u, and 1 k when three letters picked without replacement from okoooaaouvoovapoovoo.
1/380
What is prob of picking 1 n, 1 d, and 1 q when three letters picked without replacement from dnyynndqnnwyywww?
1/56
What is prob of picking 1 p and 1 j when two letters picked without replacement from {t: 1, p: 1, j: 1, v: 7, y: 2, g: 2}?
1/91
Two letters picked without replacement from {v: 2, w: 10, u: 1, b: 3, c: 1, t: 2}. Give prob of picking 1 u and 1 w.
10/171
Three letters picked without replacement from {b: 3, z: 4, i: 2, o: 3, a: 3, g: 1}. Give prob of picking 1 b and 2 i.
3/560
Two letters picked without replacement from {p: 6, e: 3, t: 2, x: 1}. Give prob of picking 1 t and 1 x.
1/33
Three letters picked without replacement from wlxlavx. Give prob of picking 1 a and 2 l.
1/35
What is prob of picking 1 z, 1 p, 1 a, and 1 r when four letters picked without replacement from {z: 2, p: 4, w: 3, q: 1, r: 1, a: 1}?
8/495
Three letters picked without replacement from xdddddtxddtdxxtt. Give prob of picking 1 t, 1 d, and 1 x.
8/35
Four letters picked without replacement from aaanaannnnaaannanna. Give prob of picking 2 n and 2 a.
135/323
Calculate prob of picking 1 q and 1 h when two letters picked without replacement from qqyqquhygh.
8/45
Calculate prob of picking 2 q when two letters picked without replacement from pqqpqgrgr.
1/12
What is prob of picking 2 h when two letters picked without replacement from {h: 8, m: 5}?
14/39
Three letters picked without replacement from gzgvrzyyrgrvvrvy. What is prob of picking 2 v and 1 y?
9/280
What is prob of picking 1 o and 1 h when two letters picked without replacement from dhhgo?
1/5
Calculate prob of picking 1 x and 1 r when two letters picked without replacement from {p: 3, m: 3, r: 3, x: 2, c: 1, v: 7}.
2/57
Two letters picked without replacement from zep. What is prob of picking 1 e and 1 z?
1/3
Two letters picked without replacement from rczrrrccr. Give prob of picking 1 r and 1 z.
5/36
Two letters picked without replacement from gjggggzmz. Give prob of picking 1 m and 1 j.
1/36
Two letters picked without replacement from zvdvyvdgyvvvzlv. Give prob of picking 2 v.
1/5
Calculate prob of picking 1 u and 1 o when two letters picked without replacement from {q: 2, u: 1, o: 4}.
4/21
Two letters picked without replacement from bbbbbbbbbsbbbsbbbs. What is prob of picking 1 s and 1 b?
5/17
Three letters picked without replacement from {w: 2, a: 1, e: 1, o: 5}. What is prob of picking 2 o and 1 e?
5/42
Three letters picked without replacement from {y: 1, j: 1, g: 2, e: 1}. Give prob of picking 1 j and 2 g.
1/10
What is prob of picking 1 b and 1 q when two letters picked without replacement from {q: 3, b: 5, s: 4}?
5/22
Two letters picked without replacement from wawwawjjwwjwwwjwjwww. Give prob of picking 1 w and 1 a.
13/95
Calculate prob of picking 1 e and 1 j when two letters picked without replacement from ehhmjzm.
1/21
Two letters picked without replacement from {u: 10, o: 3, z: 2, p: 3}. Give prob of picking 1 o and 1 u.
10/51
Three letters picked without replacement from {w: 3, l: 2, k: 5, s: 2, j: 3}. What is prob of picking 1 l, 1 j, and 1 k?
6/91
Calculate prob of picking 1 j and 1 k when two letters picked without replacement from {k: 2, d: 1, j: 1, f: 3}.
2/21
What is prob of picking 1 h and 2 j when three letters picked without replacement from jjhhkjqjjjhqjjjj?
27/112
Three letters picked without replacement from {y: 15, c: 3}. Give prob of picking 1 y and 2 c.
15/272
Three letters picked without replacement from {m: 3, p: 4, j: 2, l: 7, e: 2}. What is prob of picking 2 p and 1 e?
1/68
Four letters picked without replacement from {j: 5, f: 7, v: 8}. Give prob of picking 2 j and 2 f.
14/323
Two letters picked without replacement from {j: 3, o: 13}. What is prob of picking 2 o?
13/20
What is prob of picking 3 j when three letters picked without replacement from {j: 9}?
1
What is prob of picking 3 w when three letters picked without replacement from hwhwwwww?
5/14
Two letters picked without replacement from {f: 7, c: 2}. Give prob of picking 2 f.
7/12
Calculate prob of picking 1 g and 1 n when two letters picked without replacement from znglwna.
2/21
Four letters picked without replacement from {l: 1, f: 6, g: 5, k: 4}. What is prob of picking 1 g, 1 k, and 2 f?
15/91
Two letters picked without replacement from zayzd. What is prob of picking 1 y and 1 z?
1/5
What is prob of picking 3 h when three letters picked without replacement from kghhhhhgkg?
1/12
Two letters picked without replacement from {c: 9, x: 2}. What is prob of picking 2 x?
1/55
Four letters picked without replacement from {g: 9, s: 3}. What is prob of picking 3 s and 1 g?
1/55
Three letters picked without replacement from aayiyfaafaaaiyaafa. What is prob of picking 2 a and 1 i?
15/136
Calculate prob of picking 1 u and 1 v when two letters picked without replacement from vuuuzuuzvroovururrvv.
7/38
Three letters picked without replacement from {i: 4, y: 3}. Give prob of picking 3 y.
1/35
Four letters picked without replacement from {o: 3, t: 3, y: 6, c: 3, x: 2}. Give prob of picking 1 t, 1 y, and 2 o.
27/1190
Calculate prob of picking 2 u, 1 l, and 1 f when four letters picked without replacement from {f: 1, g: 4, u: 5, l: 6}.
3/91
Three letters picked without replacement from miiiiiiiimi. What is prob of picking 1 m and 2 i?
24/55
Two letters picked without replacement from mppymvvko. Give prob of picking 1 m and 1 o.
1/18
Four letters picked without replacement from {w: 4, r: 1, z: 2}. Give prob of picking 2 z and 2 w.
6/35
Calculate prob of picking 1 y and 1 p when two letters picked without replacement from pyypdyypdpyypyppyp.
64/153
Three letters picked without replacement from {l: 3, s: 1, z: 1, a: 3, r: 2}. Give prob of picking 2 r and 1 l.
1/40
What is prob of picking 2 o when two letters picked without replacement from {o: 6, r: 4, t: 1}?
3/11
Calculate prob of picking 4 l when four letters picked without replacement from {l: 10, s: 2}.
14/33
Two letters picked without replacement from uquqquucac. What is prob of picking 1 a and 1 q?
1/15
What is prob of picking 2 b when two letters picked without replacement from {o: 4, b: 2, f: 1, h: 3, k: 2}?
1/66
Two letters picked without replacement from {k: 2, z: 1, x: 2, u: 5, p: 2, f: 1}. What is prob of picking 1 z and 1 k?
1/39
Two letters picked without replacement from bwwzzzzwzf. What is prob of picking 1 w and 1 f?
1/15
Four letters picked without replacement from {l: 3, r: 1, k: 5, c: 7}. Give prob of picking 1 r, 2 c, and 1 k.
3/52
Two letters picked without replacement from aosauauaaausuussu. Give prob of picking 1 u and 1 o.
3/68
Two letters picked without replacement from fofoozzzzo. Give prob of picking 2 f.
1/45
Calculate prob of picking 3 f and 1 m when four letters picked without replacement from mmlhkhkfhhfmfhhfhhk.
1/323
Two letters picked without replacement from {u: 7, o: 2}. What is prob of picking 2 u?
7/12
Calculate prob of picking 1 q and 1 u when two letters picked without replacement from cqxczqxsssquuxu.
3/35
Three letters picked without replacement from bwvbqevsw. What is prob of picking 1 b, 1 v, and 1 w?
2/21
Two letters picked without replacement from {t: 3}. Give prob of picking 2 t.
1
Calculate prob of picking 2 p and 2 f when four letters picked without replacement from {f: 16, p: 2}.
2/51
What is prob of picking 1 r and 1 e when two letters picked without replacement from rrre?
1/2
What is prob of picking 3 t when three lette
|
{
"pile_set_name": "DM Mathematics"
}
|
+ sqrt(567) - sqrt(567)) + sqrt(567) + sqrt(567) + 5)**2).
-417361 + 504*sqrt(7)
Simplify ((sqrt(190) - -1*(sqrt(190) + sqrt(190) + -4*sqrt(190) + sqrt(190) - sqrt(190)))/sqrt(5))/(((sqrt(288)*-4 - sqrt(288))/sqrt(12))/sqrt(12)).
sqrt(19)/5
Simplify -3*(2 + (sqrt(17) + (sqrt(2057)*1 - sqrt(2057) - sqrt(2057)) + 4 - 5*sqrt(1700)*2))**2*-1*2.
-7920*sqrt(17) + 1234416
Simplify -1 + 5 + -6*((sqrt(2420) - (sqrt(2420) - 3*(-1 + sqrt(2420))))**2 - (-3 + ((sqrt(2420) - -2*sqrt(2420)) + sqrt(2420))**2)).
2376*sqrt(5) + 101572
Simplify 2 + (-1*((5 + sqrt(1573) + -2)*2 - (sqrt(1573)*-3 + 4 + -4)))**2.
660*sqrt(13) + 39363
Simplify (-4*(sqrt(180)*3)/sqrt(10) + (4*sqrt(2)*-2 + sqrt(2) + -4 + 3 + sqrt(2))**2)*-5.
-365 + 120*sqrt(2)
Simplify 4*(sqrt(84)*-2*2 + (sqrt(84) + sqrt(84) + sqrt(84)*1 + sqrt(84) - sqrt(84))*-3)/((sqrt(12) + sqrt(12)*-2)*4 + (sqrt(48)/sqrt(2))/sqrt(2)).
52*sqrt(7)/3
Simplify sqrt(77)/(sqrt(7) - sqrt(343)*-1) + 5 - (-4 + ((sqrt(11) + 4)*6 + -2)**2).
-2111*sqrt(11)/8 - 871
Simplify ((sqrt(2448)*-2 + -1 - (-2 + sqrt(2448) + 5)) + (sqrt(2448) - 5*sqrt(2448)*3)*2)**2.
2976*sqrt(17) + 2352544
Simplify ((5*(sqrt(133) + 2*sqrt(133) - sqrt(133)) + sqrt(133) + (sqrt(133) + sqrt(133)*-2)*-4)/((2*sqrt(1008)*-3 + sqrt(1008))*5))**2.
19/400
Simplify (-5*-5*(sqrt(50) + (sqrt(50) - sqrt(450)*3)))/((sqrt(160) - sqrt(160)*-2*4) + (sqrt(160) + (sqrt(160) - sqrt(160)*-2))*4).
-7*sqrt(5)/4
Simplify sqrt(45) + (1*sqrt(1620) - sqrt(1620) - sqrt(45)) + (sqrt(45)*-2 - sqrt(45))**2 + -2 + (sqrt(160)/sqrt(200))/(sqrt(4) + 1*sqrt(4)*-6).
-sqrt(5)/25 + 403
Simplify (sqrt(288) - (2*sqrt(288)*-3 - sqrt(288)))/(sqrt(72)/(sqrt(432)*-1)) + -1.
-192*sqrt(3) - 1
Simplify -1*5*sqrt(4)/(-4*sqrt(2)) + (6*(sqrt(162) + 4)*4)**2.
165893*sqrt(2)/4 + 102528
Simplify ((-6*-2*sqrt(102)/sqrt(3)*4)/(-6*(-6*sqrt(4)/sqrt(2) + 1*sqrt(2)*2))*-4)**2.
1088
Simplify ((-4*sqrt(540) - sqrt(15))/(sqrt(3)*5*-2)*3 + -1)**2.
-15*sqrt(5) + 1129/4
Simplify ((4*-4*sqrt(154)/sqrt(7)*6)/((sqrt(99) + -1*sqrt(99))*3 - sqrt(99)*1*1))**2.
2048
Simplify (4 + (-4 + -2*(0 + sqrt(343)))*4)*4.
-224*sqrt(7) - 48
Simplify ((sqrt(150)*2)/sqrt(6))/(6*sqrt(20))*3 - (((sqrt(160)*-2)/sqrt(4))/(sqrt(288)*-2))**2.
-5/36 + sqrt(5)/2
Simplify (-5*(-1*sqrt(5200) + sqrt(52) + (sqrt(52) - sqrt(832)*-1))/(sqrt(44)/(sqrt(11)*-5*-4 + sqrt(11))))**2.
2293200
Simplify 5*((2*sqrt(567) + -5)**2 + (sqrt(14)/sqrt(2) + sqrt(7))*5*-6 - ((sqrt(112) + (4 + sqrt(112) + 0)**2 - (5 + (sqrt(112) + 0 + sqrt(112))**2)) + 3)).
-1380*sqrt(7) + 13075
Simplify (-5 + ((sqrt(425) - (1*sqrt(425) + -2 + sqrt(425)) - sqrt(425) - sqrt(425) - (sqrt(425) - 6*(sqrt(425) + -2*sqrt(425) + sqrt(425))))*-3)**2 + 4)*1.
-720*sqrt(17) + 61235
Simplify (((sqrt(1053) - (sqrt(1053) + (-6*(sqrt(1053) - (sqrt(1053) + -1)) - sqrt(1053)))) + -1)**2 - -1*(sqrt(1053) + 2 + -1)**2) + 0.
108*sqrt(13) + 2132
Simplify (-6*sqrt(38)*5*6)/((sqrt(2) + sqrt(200) + (sqrt(200)*-1 + sqrt(200) - sqrt(200)) + sqrt(2))*6)*2.
-30*sqrt(19)
Simplify -6*((1 + sqrt(325) + 1 - sqrt(325)) + -5)*2*-4.
-144
Simplify -5*(((sqrt(378) - -1*-2*sqrt(378)) + sqrt(378))/sqrt(6) + sqrt(126)/((sqrt(8) + sqrt(2))*-5))**2*4.
-28/5
Simplify -2*(sqrt(1331) - (sqrt(1331)*-2)**2) + sqrt(1331) + -4*-2*sqrt(1331) - 4*-3*(2*sqrt(1331) + sqrt(1331) - sqrt(1331))*1.
341*sqrt(11) + 10648
Simplify (((sqrt(150) + (sqrt(150)*-1 - sqrt(150) - sqrt(150)))*3)/(-2*sqrt(360)))/(2*sqrt(75)*-4 + 1*sqrt(75)*4).
-sqrt(5)/40
Simplify ((sqrt(468) - sqrt(468)*2) + 5 - (sqrt(1053)*1 - (sqrt(832))**2)) + (sqrt(39)/(sqrt(108) + sqrt(27)) - (sqrt(832) - (4 + (sqrt(832)*1)**2))).
-206*sqrt(13)/9 + 1673
Simplify ((1*sqrt(52)*-2)/(sqrt(4) - (sqrt(4) + (sqrt(48)*3)/sqrt(12))))**2 + (-2 + (sqrt(208) + -1*(-5 + sqrt(208)) - sqrt(208)))**2.
-24*sqrt(13) + 2005/9
Simplify (4*(sqrt(396) - -2*sqrt(396)) + 6*-3*sqrt(396) - ((3 + sqrt(396)*-1 - sqrt(396))*3 + -3))**2.
36
Simplify (4*(3 + (sqrt(3388)*-2 - sqrt(3388)) + 4*-1*sqrt(4032)))**2.
-15552*sqrt(7) + 2939472
Simplify (-5*-4*(sqrt(190) + -1*sqrt(190))*2)/((sqrt(120) + (sqrt(120) + -4*sqrt(120) + sqrt(120) - sqrt(120)))/sqrt(12) + (sqrt(150)/sqrt(3))/sqrt(5)).
0
Simplify (-1*-5*(sqrt(6050)*1 - sqrt(6050)))/((sqrt(90) + sqrt(90) + -2*sqrt(90))*6 + 2*2*sqrt(90)).
0
Simplify (sqrt(68) + -1)*4 + (sqrt(68) - sqrt(68)*2*-1)**2 - ((5 + sqrt(68) + 2 + sqrt(68))**2 - (sqrt(68) + -1)*6).
-36*sqrt(17) + 281
Simplify (((sqrt(512) - -1*sqrt(512)) + -4 + 4)**2 - (4 + ((sqrt(288) - (sqrt(288) + -1 + 5)) + sqrt(288))**2))*6.
576*sqrt(2) + 10440
Simplify (sqrt(637) - (sqrt(637) + (sqrt(637) + 0 - sqrt(637))*-2)**2) + 1 + (-2*(sqrt(13) - sqrt(468)))**2 + (sqrt(832)*4)**2.
7*sqrt(13) + 13976
Simplify 2 + (3 + (2 + sqrt(200))**2 + sqrt(2) + 4)*-5*-1 + 2.
205*sqrt(2) + 1059
Simplify ((-5*-1*sqrt(121))/(sqrt(110)/(1*sqrt(10))) - (-5 + sqrt(704) + sqrt(176)*-6))**2*4.
840*sqrt(11) + 19504
Simplify 4*5*sqrt(363)*-3 - (sqrt(12) - 2*sqrt(768))/(sqrt(24)/sqrt(24)).
-630*sqrt(3)
Simplify (-5*1*sqrt(735) - 1*(2*sqrt(735) + sqrt(735)))/(5*(sqrt(245)/(sqrt(28)/sqrt(4) + sqrt(7)))/sqrt(7)).
-112*sqrt(3)/5
Simplify ((5 + 2*(2*sqrt(2816) + -2 + 3))*3)**2.
8064*sqrt(11) + 405945
Simplify 3*((-2 + 1 + sqrt(637))**2 + (4 + 1*sqrt(637))**2 - (((1 + sqrt(637))*2)**2 + sqrt(637) + (sqrt(637) + 2*(sqrt(637) + 2))**2)).
-21030 - 567*sqrt(13)
Simplify ((-4*(sqrt(768) + (sqrt(768)*-1*-3 + sqrt(768) - sqrt(768))))/(((sqrt(54) + sqrt(216))/sqrt(9) - sqrt(66)/(sqrt(11) - 2*sqrt(11)))*-3))**2.
2048/9
Simplify -5 + (-2*-4*(sqrt(1088) + (sqrt(1088) - sqrt(1088)*1) + -2 + sqrt(1088))*-5*-1*-2)**2.
-409600*sqrt(17) + 27878395
Simplify (sqrt(133) + sqrt(133)*1*-5 - (3*sqrt(133)*3 + sqrt(133)))/(((sqrt(7) - sqrt(14)/sqrt(2)*5) + (sqrt(7) - 5*sqrt(28)))*-3).
-14*sqrt(19)/39
Simplify ((sqrt(70)*3 - sqrt(70))*-2 + 1*sqrt(70)*2)/(sqrt(30)/(sqrt(3)*-1) - (-4*sqrt(1440) + sqrt(10))).
-sqrt(7)/23
Simplify (-2*(sqrt(272) + 2)*4 - (1*sqrt(272) + 0)*-5)**2.
384*sqrt(17) + 2704
Simplify -3 + ((sqrt(6) + (sqrt(6) - sqrt(42)/(sqrt(7)*-3 + sqrt(7))))/(sqrt(54)/sqrt(2))*1 + -5)**2.
-25*sqrt(2)/3 + 421/18
Simplify (-4*6*((sqrt(136) - (-1*sqrt(136) + sqrt(136) - sqrt(136)))*4 - sqrt(136)))/((sqrt(2400) - (sqrt(2400) + sqrt(2400)*2 - sqrt(2400)))/(sqrt(192)*1)).
672*sqrt(17)/5
Simplify (((sqrt(612)*-1 + 0)**2 - (1 + 6*sqrt(17)*2)**2) + 5)*5.
-9160 - 120*sqrt(17)
Simplify 3*(-4 + ((-1*sqrt(240) + sqrt(240))/sqrt(10))/(sqrt(6)/(sqrt(2)*-1*-6)) + 1).
-9
Simplify (1 + sqrt(704))**2 + -2 + sqrt(704) + 3*(2 + sqrt(704)) + (sqrt(110)/sqrt(18))/(6*sqrt(45)).
2593*sqrt(11)/54 + 709
Simplify (((sqrt(80)/sqrt(4))/sqrt(5) - sqrt(12)/sqrt(75))*-2)/(-1*sqrt(242) - (sqrt(162) - (-5*sqrt(162) - sqrt(162)))).
4*sqrt(2)/185
Simplify -5*(sqrt(12) + 1 - sqrt(12))**2 + 1 + (-1*sqrt(12) + -4)*-5.
16 + 10*sqrt(3)
Simplify -6*((sqrt(2736) + sqrt(2736)*1 + 4 - ((4*sqrt(2736)*2 - sqrt(2736)) + sqrt(2736)) - 4*(3*sqrt(2736) + 3))**2 + 3) + 0.
-5319186 - 20736*sqrt(19)
Simplify (-2 + sqrt(51)/sqrt(3) - (sqrt(833) - sqrt(833)*-4)) + (-5*(sqrt(153) + -1*sqrt(153)))/(sqrt(36)/(sqrt(8)/sqrt(2) + sqrt(4) + sqrt(4))).
-34*sqrt(17) - 2
Simplify ((sqrt(468) - (sqrt(468) + 1*sqrt(468))*2)/(-4*sqrt(27)/sqrt(3)))/(6*2*((sqrt(256)*2 - sqrt(256)) + sqrt(256))).
sqrt(13)/256
Simplify ((sqrt(117)/((1*sqrt(9) + sqrt(9))*-6) + 5 + 3)**2 - (3*-4*sqrt(13)*-2 + ((sqrt(208)*2)/sqrt(4))/sqrt(4)))*-1.
-9229/144 + 82*sqrt(13)/3
Simplify (4*(0 + (sqrt(720) + 2*(sqrt(720) + -2*sqrt(720)) + sqrt(720))*-2 + 4)*-5 + 2)**2.
6084
Simplify (((sqrt(77) + (sqrt(77) + sqrt(77)*2)*2)*3)/((sqrt(88)/sqrt(8) + sqrt(11))*4*1))**2.
3087/64
Simplify 5*((sqrt(108) - (sqrt(108)*3*6)**2)*5 - (1 + (sqrt(108) - (sqrt(108) + 0 + sqrt(108))) + 5*(-1 + sqrt(108) - sqrt(108)))).
-874780 + 180*sqrt(3)
Simplify -2*((-2 + (sqrt(68) + 0)**2 - (sqrt(136)/(sqrt(72) + sqrt(8)) - ((sqrt(119)*-1 + sqrt(119))/sqrt(7))**2)) + 3).
-138 + sqrt(17)/2
Simplify -3 + (((sqrt(510) + ((sqrt(510)*2 - sqrt(510)) + sqrt(510) - sqrt(510) - sqrt(510)))*-4)/(sqrt(810)*-1))/(sqrt(30)/((sqrt(60) - sqrt(240))/sqrt(6))*1).
-3 - 4*sqrt(17)/9
Simplify (sqrt(1700) - (sqrt(1700)*-2 + -5)) + 4 - (2 + (sqrt(17) + sqrt(17)*-2*-6)*2).
7 + 4*sqrt(17)
Simplify -1*((sqrt(40) - (sqrt(40) + sqrt(3240)))/sqrt(4))/(sqrt(4)/(sqrt(2)*6))*3.
162*sqrt(5)
Simplify (6*((3*(sqrt(9)
|
{
"pile_set_name": "DM Mathematics"
}
|
*i - 4*x**6 + x**6 + x**2 - 2*x**2 wrt x?
-360*x**3
Let w(l) be the first derivative of 6*l**7/7 + 31*l**3/3 - 22. What is the third derivative of w(r) wrt r?
720*r**3
Let k(b) = -2 - 4 + 0 + 3 - 3*b. Let i(a) = -5 - 10*a + 0 - 5. Let l(o) = -2*i(o) + 7*k(o). Find the first derivative of l(v) wrt v.
-1
Let t be 2 - (3/(-2) + 3). Let w(f) be the first derivative of t*f**2 + 2*f + 1. Differentiate w(k) wrt k.
1
Let z(c) = c + 9. Let o be z(-6). What is the derivative of 0 + o - 3*m**4 + 7*m**4 wrt m?
16*m**3
Let r = 16 - 15. Differentiate -5 + 2 - 1 - r + 7*a**2 wrt a.
14*a
Let p be 4 - (1 + -3 - -1). What is the third derivative of v**5 - 8*v**2 + 5*v**p - 2*v**5 + 4*v**2 wrt v?
240*v**2
Let m(w) = -w**3 + w + 1. Let l(d) = 5*d + 6. Let a(k) = l(k) - 5*m(k). Differentiate a(o) with respect to o.
15*o**2
Let u be 6*(-2)/(-4) - 1. What is the first derivative of 1 - 49*z + 49*z + z**u wrt z?
2*z
Let o(s) be the first derivative of 0*s**2 + 3/4*s**4 + 4 + 0*s**3 + 3*s. What is the derivative of o(g) wrt g?
9*g**2
Find the second derivative of 29*w + 42*w**2 - 45*w**2 - 60*w**2 wrt w.
-126
Let s(n) be the second derivative of -9*n**8/56 - n**4/4 + 7*n. What is the third derivative of s(u) wrt u?
-1080*u**3
Let h(m) be the third derivative of m**8/48 + m**5/15 + 13*m**2. Find the third derivative of h(x) wrt x.
420*x**2
Let h(b) = b**3 - b**2. Let p(i) = 3*i**5 - 6*i**3 + 6*i**2 - 2*i. Let o(f) = -6*h(f) - p(f). Find the second derivative of o(s) wrt s.
-60*s**3
Find the third derivative of -5*t**2 + 35*t**5 + 107*t**3 - 13*t**2 - 107*t**3 wrt t.
2100*t**2
Let h(j) be the second derivative of j**8/112 + j**5/60 - j**2/2 - 4*j. Let p(d) be the first derivative of h(d). Find the third derivative of p(s) wrt s.
180*s**2
Let l(m) = m**3 + 3*m + 1. Let p(u) = -u**3 - u**2 + 1. Let j(t) = -l(t) - 2*p(t). Let y be j(-2). Differentiate -v**3 + 3 + 0*v**y - 1 with respect to v.
-3*v**2
Let d(f) = -f + 8. Let o be d(6). Find the second derivative of i - 5*i**4 + o*i**4 + 7*i wrt i.
-36*i**2
Let p = 4 + -2. What is the second derivative of 10*k**2 + k - 10*k**p + 2*k**3 wrt k?
12*k
Let n(s) be the second derivative of 0 - 4*s + 0*s**4 + 5/6*s**3 - 3/20*s**5 + 0*s**2. What is the second derivative of n(w) wrt w?
-18*w
Let c(m) be the first derivative of -3*m**4 - 25*m**3/3 - 13. What is the third derivative of c(y) wrt y?
-72
Let o(d) be the first derivative of -6*d**5 - 31*d - 25. Find the first derivative of o(f) wrt f.
-120*f**3
Let t(j) = j**4 - j - 1. Let u(f) = -f**4 + 5*f**2 + 6*f + 6. Let y(l) = 6*t(l) + u(l). Find the third derivative of y(o) wrt o.
120*o
Let f(j) be the first derivative of 7*j**4/12 - 5*j**2/2 + j - 4. Let m(a) be the first derivative of f(a). Differentiate m(w) with respect to w.
14*w
Let l be (1 + -2)/(3/(-9)). Let b(p) be the second derivative of -3*p - 1/4*p**4 + 0*p**l + 3/2*p**2 + 0. Differentiate b(w) with respect to w.
-6*w
Let l = -9 + 21. Suppose q - l = -3*q. What is the second derivative of 0*w + q*w - 4*w**5 - 4*w wrt w?
-80*w**3
Let i be (-18)/(-30) - (-96)/(-10). Let v = i + 17. What is the second derivative of -3*c**3 + v*c**3 + 3*c - c**3 wrt c?
24*c
Let d be 7/14*(-8)/(-6). Let p(u) be the first derivative of -d*u**3 + 0*u - 1/4*u**4 - 2 + 0*u**2. Find the third derivative of p(t) wrt t.
-6
Suppose 3*w + 12 = -3*q, q + 1 = -2*w - 7. Let o(i) be the second derivative of q + i + 3/2*i**2 + 0*i**3 + 1/6*i**4. Differentiate o(n) with respect to n.
4*n
Let x = 5 + -5. Let v(j) be the second derivative of 1/3*j**3 + 1/6*j**4 + x*j**2 + 0 - j. What is the second derivative of v(m) wrt m?
4
Suppose -r + 12 = -4*z - 1, 4*r = z + 22. Suppose q - 3*q - 1 = r*k, 5 = -5*k. What is the second derivative of a + 0*a + q*a - a**4 wrt a?
-12*a**2
Let f(v) = -6*v**4 + 3*v**2 - 5*v. Let i(a) = 7*a**4 - 2*a**2 + 4*a. Let y(g) = 2*f(g) + 3*i(g). What is the second derivative of y(b) wrt b?
108*b**2
Let o(n) = 2*n**3 - 4*n. Let w(t) = -2*t + 3. Let v be w(3). Let j(d) = d**3 - 2*d. Let f(k) = v*o(k) + 5*j(k). What is the second derivative of f(y) wrt y?
-6*y
Let r(j) = -33*j**2 + 35*j - 11. Let a(y) = 16*y**2 - 17*y + 6. Let k(s) = 11*a(s) + 6*r(s). Find the second derivative of k(f) wrt f.
-44
What is the derivative of 25*m**2 - 63*m**2 + 27*m**2 - 5 + 13 wrt m?
-22*m
Let z(x) = -1 + x**4 - 9*x**3 + 0*x - 8 - 2*x + x. Let q(v) = -2*v**3 - 2. Let l(b) = -9*q(b) + 2*z(b). What is the second derivative of l(g) wrt g?
24*g**2
Differentiate -14*i**2 + 22 + 1 + 22*i**2 + 19 with respect to i.
16*i
Let c = -16 + 17. Find the third derivative of c + 4 - 7*a**5 + 6*a**2 - 5 wrt a.
-420*a**2
What is the third derivative of 2*h**4 - 3*h**4 - 28*h**2 - 6*h**4 - 3*h**4 wrt h?
-240*h
Let l(p) be the third derivative of 11*p**8/112 - 3*p**4/4 - 7*p**2. What is the second derivative of l(t) wrt t?
660*t**3
Suppose c - 8 = -c. Suppose 4 + 4 = c*h. Differentiate 5*q**3 - 5*q**3 - 2 - h*q**4 with respect to q.
-8*q**3
Let b(l) = l**4 + 2*l**2 - 7*l. Let w(h) = -2*h + 3. Let o be w(5). Let t(m) = -m**2 + 2*m. Let d(z) = o*t(z) - 2*b(z). Find the third derivative of d(g) wrt g.
-48*g
Let q = 1 - 1. Differentiate 2*g**3 - 4*g**3 + g**3 + q + 4 with respect to g.
-3*g**2
Suppose -3*b - 16 = -7*b. Let a(y) be the third derivative of 0 + 1/60*y**6 + y**2 + 0*y**5 + 0*y**3 + 1/8*y**b + 0*y. Find the second derivative of a(q) wrt q.
12*q
What is the second derivative of -x**5 + 12*x + 7*x**5 + 14*x - 15*x wrt x?
120*x**3
Let s(w) = -w**4 - 3*w**3 + 3*w**2 - 4. Let n(j) = 4*j**3 - 4*j**2 + 3. Let z(k) = -3*n(k) - 4*s(k). Find the first derivative of z(o) wrt o.
16*o**3
Let x(h) be the first derivative of -3 - 1/3*h**3 + 1/2*h**2 - 4*h. Let c(l) be the first derivative of x(l). Differentiate c(w) wrt w.
-2
Let x(m) be the first derivative of m**5/20 - m**4/8 - 3*m**2/2 + 4. Let i(u) be the second derivative of x(u). What is the second derivative of i(r) wrt r?
6
Let p = -3 + 4. Suppose 5 = b + p. Find the first derivative of 0 + 2 - 2*x + 2*x - x**b wrt x.
-4*x**3
Let n(i) be the first derivative of -4*i**3/3 + i**2/2 + 2. Find the second derivative of n(a) wrt a.
-8
Find the second derivative of -25*f + 8*f + 16*f + 11*f**5 wrt f.
220*f**3
Differentiate -1 - 3*w**3 - w**3 - 1 - 5 wrt w.
-12*w**2
Let a(f) be the third derivative of -3*f**5/20 - f**3/6 + 21*f**2. Differentiate a(q) with respect to q.
-18*q
Let i(r) be the third derivative of 0*r - 4*r**2 + 0*r**4 + 2/3*r**3 + 1/30*r**5 + 0. Find the first derivative of i(k) wrt k.
4*k
Let s be -2*(-2 - -5)/(-3). Suppose 5 = -s*u + 3*u. What is the second derivative of -u*a + 4*a**2 + 2*a**3 + 4*a - 4*a**2 wrt a?
12*a
Let r(s) be the first derivative of 18*s**2 - 18*s**2 - 1 + 0*s**3 + 4*s - s**3. What is the first derivative of r(f) wrt f?
-6*f
What is the third derivative of 2*d**2 - 2*d**6 + 10*d**2 + d**2 + 5*d**2 wrt d?
-240*d**3
Let z = 12 + -1. Suppose -5*y = -26 + z. Find the second derivative of 5*h - 4*h**4 - 3*h + y*h**4 + 3*h**4 wrt h.
24*h**2
Suppose -13 = -0*z - z - 5*w, 5*z = -2*w + 19. Let r be 252/117 + (-2)/13. What is the third derivative of 2*l**3 + 4*l**4 - 2*l**3 + z*l**r - l**4 wrt l?
72*l
Let s(g) be the first derivative of g**6/3 - 7*g**4 - 8*g**3/3 + g + 73. Find the third derivative of s(x) wrt x.
120*x**2 - 168
Let c(j) be the third derivative of -41*j**4/24 + 26*j**3/3 + 3*j**2. Find the first derivative of c(s) wrt s.
-41
Suppose 4*v + 15 = 9*v. What is the second derivative of -t + 11 + v*t**5 - 11 wrt t?
60*t**3
Find the third derivative of b**2 - 11*b**2 - 2*b**3 + 7*b**3 + 7*b**3 wrt b.
72
Let k(z) be the third derivative of z**6/20 + 5*z**3/6 - 10*z**2. Differentiate k(m) with respect to m.
18*m**2
Let z(i) be the first derivative of -i**3/3 + i**2/2 + 2*i + 2. Let j be z(0). Find the second derivative of q**j + 0*q - 4*q**2 + 2*q wrt q.
-6
Find the third derivative of -6*h**4 - 198*h**3 - 8*h**2 + 198*h**3 wrt h.
-144*h
Suppose 0*j + 2*j - u - 15 = 0, -24 = -3*j + 2*u. Differentiate -4*z + 0*z - z - 1 + j*z wrt z.
1
What is the third derivative of 17*b**3 - 16*b**4 - 17*b**3 - b**2 + 0*b**2 wrt b?
-384*b
Suppose -4 = -3*a + o, -5*a + 5*o = 6 + 4. Let b be (12/(-10))/(18/(-60)). What is the second derivative of -3*m**b - 3*m + a*m**4 - 2*m**4 wrt m?
-24*m**2
Let b(f) = -32*f**2 -
|
{
"pile_set_name": "DM Mathematics"
}
|
- 4 = 4*u, -310*u + 118*u - 12 = -195*u for m.
10
Solve 0*c = 322*p - 315*p - 3*c + 32, -p = -43*c + 39*c - 24 for p.
-8
Solve 3 = q, 5*k + 70*q + 3 + 1 = 68*q for k.
-2
Solve -q = -54*s - 101, 0 = -12*s + 9*s + 5*s + q - 45 for s.
-1
Solve 58*i = 55*i - 4*x - 87, 68 = -5*i + 19*x for i.
-25
Solve 2*c = -2*n - 2*c + 4, n = -1152*c + 1155*c + 12 for n.
6
Solve 68*j + 1406 = 63*j - 27*i, -2*j = i + 43 for j.
5
Solve 5*q + 3*i - 46 = 0, 775*q + 779*q - 5*i + 35 = 1554*q for q.
5
Solve -1808*c = -1813*c - 35, 2*n = -6*c - 36 for n.
3
Solve 240*i - 123*i - 127*i = 40, v = -5*i - 42 for v.
-22
Solve -5*p + 6*y + 0*y = 3*y + 137, 223 = -8*p + y for p.
-28
Solve 51*p + 255 = 0, 4*b - 5*b + 6*p = 9*p - 83 + 107 for b.
-9
Solve 4 = 2*t - 3*s, t + 3*s + 302 + 305 = 609 for t.
2
Solve 3*z = -15*d - 39, 12*z = 5*d + 14*z + 2*z + 67 for d.
1
Solve 2*q = 4*d + 50, -1152*q + 1174*q = 3*d + 140 for d.
-10
Solve 2*m + 5*n + 336 = 185, 78*m + 379 = -5*n for m.
-3
Solve -2*u = 3*i - 2*i - 3, -4*u + 23*i - 8008 = -8039 for u.
2
Solve 9 = -3*l, 0 = b - 4*l - 7367 + 7337 for b.
18
Solve -w = 3*l - 2*w - 15, 2*l + 8*w - 12*w = -0*l + 2*l for l.
5
Solve 0 = 29*x + 4*b + 30, 40*b + 44*b = -3*x - 4*x + 79*b + 21 for x.
-2
Solve 24*v - 70 = -b, 64*b - 60*b = -4*v + 5 - 1 for b.
-2
Solve -5*o - 10 = -10, -5*o = -5*x + 97 + 8 for x.
21
Solve -66 = 5*g - 6*f, 62601*g + 2*f - 62 = 62606*g for g.
-12
Solve 4*w - 7*h + 15 = 5*w - 25, 4*w + 7*h = 38 - 4 for w.
-2
Solve 3142 = 2*r - 19*t + 3017, 4*r + 4*t = -44 for r.
-4
Solve 4*v - 590 = 3*d - 640, 0 = v - d + 15 for v.
-5
Solve 3*d + 0*d - 4*z - 19 = 0, 5*d + z - 3*z = 79 - 52 for d.
5
Solve -6*l + 647*h - 46 = -2*l + 649*h + 8, -4*h - 115 = l for l.
1
Solve 4*y = -59*m + 633, 151*m - 56 = 147*m + 3*y for m.
11
Solve -7*i = -2*i - i - o - 30, 5*o - 70 = -10*i - 6 - 4 for i.
7
Solve -1394 = 282*k - h, -8*h + 11 = 2*k - 3*h + 101 for k.
-5
Solve 2*i - 8*y - 148 = -238, i + 5*y = -33 + 87 for i.
-1
Solve 2*z - 84*c - 406 = 0, -267*z + 1 = -266*z - c + 3 for z.
-7
Solve -5*h + 8 = 23*t - 5 - 21, 37 = 7*h - 3*t + 95 for h.
-7
Solve 21145*w + 21 = 21148*w - 4*q, -4*q - 30 = -6*w for w.
3
Solve 5*j - 4*i = -122, -653*i + 650*i = -2*j - 88 for j.
-2
Solve 59684*k + 12 = 59680*k, 3*w - 5*k + 156 = 0 for w.
-57
Solve 0 = p + 2*z, 0 = 2*p + 64*z + 36*z - 105*z - 18 for p.
4
Solve 2247*b = -3*k + 2249*b, -27 = -k + 4*k + 2*b + 9 for k.
-6
Solve -101026*s - 28 = -101022*s - 4*t, -4*t - 10 = 15*s for s.
-2
Solve -6*c + 6*v = -6, -15*v - 16*v + 27*v - 16 = 0 for c.
-3
Solve 0 = -5*z + 547509*f - 547506*f + 36, 5*f + 47 = 4*z for z.
3
Solve 0 = 3*o + 9, -93*j = -281*j + 94*j + 95*j + 2*o + 33 for j.
-27
Solve -5*u = w + 74, -5*w + 5*u + 70 = 20 for w.
-4
Solve p - 37 = j, 30*p + 17*j = 29*p - 575 for p.
3
Solve -3*h - 13*d = -15*d - 6, -19*d = 2*h + 60 + 58 for h.
-2
Solve 2*i - 3*i = 9*o - 22, 4996*o + 9*i - 8*i = 4995*o + 9 - 3 for o.
2
Solve 51162*m = -2*s + 51167*m + 40, -4*m - 300 = -15*s for s.
20
Solve -3*x = 3786*z - 3788*z + 8, -4*x + 5*z - 34 = 0 for x.
4
Solve 2*h - 3*r - 3 - 12 = 0, 0*h - r + 85555 - 85553 = -3*h for h.
-3
Solve -5*w - 40 = -225914*l + 225911*l, -3*l + 20 = 5*w for w.
-2
Solve -d - 4*d + 4*j = 0, 18*d - 40*d + 23*d + 4*j = 0 for d.
0
Solve -68*t + 3*v = -29*t - 28*t - 76, 4*t - 4*v - 16 = 0 for t.
8
Solve -d + 817180*j = 817168*j + 53, 46 = 3*d + 5*j for d.
7
Solve 38983*t - 38981*t + 68*j = 342, -2*j + 10 = 0 for t.
1
Solve 5*k - 3*b + 43 = 0, 245456*k - 245451*k = -77*b - 363 for k.
-11
Solve -22 = -2*i - 625493*u + 625491*u, 0 = -3*i - 2*u + 25 for i.
3
Solve -503*x = -504*x + 3, -2*s - 2*s = 4*x - 72 for s.
15
Solve -19*k - 23*k + 43*k + 13 = -z, -26*z + 3*k - 483 = 0 for z.
-18
Solve -64*w + 6*o + 48 = -70*w + 4*o + o, 0 = o for w.
-8
Solve -201*o + 195*o = -3*l - 297, l = 16*o - 785 for l.
-1
Solve -251*t + 8*g = -250*t - 12 - 45, 4*g = -5*t - 23 for t.
1
Solve -4*k = -174*p + 139*p, -3*p + 3*k = 0 for p.
0
Solve 535530*f - 535535*f - 7 = 3*q, 7*q + 25 = -3*f for q.
-4
Solve 2*r + 5 - 13 = -4*y, 3*r = 79*y + 3*y + 276 for y.
-3
Solve -11535*u - 4*t - 20 - 52 = -11531*u, -56 = -3*u + 2*t for u.
4
Solve p - 135 = 6*t, 7*p - 153 = -96533*t + 96539*t for p.
3
Solve -4*u + 3*u = 2*u - 139*j + 140*j + 59, 17 = -u - j for u.
-21
Solve -4*t - 180 = -4*c + 96, 2*c + 5*t - 742 - 852 = -1918 for c.
3
Solve s = -32*j + 41, -517*s = -513*s + 2*j - 38 for s.
9
Solve 2*x = -18*q + 68, 214*q - 108*q + x + 2 = 106*q for q.
4
Solve 2*j = h + 120 - 144, -2*j = -4*h + 12 for h.
-4
Solve -4*o + 3*l - 2126 = -2177, -3*o + 2*l = -39 for o.
15
Solve -o + 3 - 46 + 19 = 3*j - 15, -3*j - 81 = 5*o for j.
3
Solve 5*t + 2326 - 824 = -38*p, 4*p = -2160*t + 2162*t - 148 for p.
-39
Solve 165506*m - 165511*m = -4*o + 12, -2*m - 12 = -4*o for m.
0
Solve -i = -1 - 3, -42*x - 23 = -39*x - 3*i + 97 for x.
-36
Solve 3*w - 2*l - 21 + 9 = -10, -w + 0*l = -5*l - 18 for w.
-2
Solve -4*r = -4*w - 53268 + 53236, 3*w - 24 = -r for w.
4
Solve -87*g - 4*t = -495, -92799 = g - 5*t - 92729 for g.
5
Solve 0 = -4*s - 59*w - 263, 16*w + 10*w - 30*w = -2*s + 36 for s.
8
Solve i + 5*l - 11 = 0, 114*i - l = 128*i + 191 for i.
-14
Solve -5*b - 13 = -2*w + 33, -73*b - 23*w = -75*b - 640 for b.
2
Solve -2*n - 485 = 11*q, 7*q - 3*q + 3*n - 92 + 257 = 0 for q.
-45
Solve -5*z + 12*s - 72 = 19*z, 122*z = 123*z - 4*s + 3 for z.
-3
Solve 12861 - 12865 = -5*f + k, -f + 4 = 3*k for f.
1
Solve -3*s + 28164*u - 28166*u = -24, -3*s = u - 9 for s.
-2
Solve -164*z + 3*t + 16 = -148*z, z + 28 = 2*t for z.
4
Solve 5*z = -2033*t + 2030*t - 27, 17*z = 5*t - 107 for z.
-6
Solve 0 = 5*m + 3*d + 13 - 56, 5*d + 0*d = -22*m + d + 134 for m.
5
Solve 131*g + j = -1305 - 730 - 320, -3*g = -5*j + 69 for g.
-18
Solve -3*l + 47 - 15 = 8*p + 5*p, -5*l = -p - 8 for p.
2
Solve 2*v - 2*i - i - 32 + 9 = 0, 4*i - 20 = -10*v for v.
4
Solve -2*w + 69 = -5*w - 5*r - 7*r, -r = 2*r + 12 for w.
-7
Solve 3716*f - 3715*f - 2 = -j - 1, -4*j = -f - 24 for f.
-4
Solve -9*x = -5*n - 8*x - 105, -6*n - 9 = 6*x + 81 for n.
-20
Solve 2*l - 3*w + 42 - 82 = -22, -l = -3*w - 12 for l.
6
Solve -5*p + 14 = 3*z, -2*z + 7*z + p + 1175 = 1191 for z.
3
Solve 4*j = -32, -1069*j + 537*j = -2*g - 535*j - 14 for g.
5
Solve 2*o + 54 = 3*v - o + 36, 6 = 4*o + 2 for v.
7
Solve 4*k - 2*h - 34 = 0, -45*k + 18*k = -30*k - h + 23 for k.
8
Solve -58 = -5*o - 73, 2*v + 6*o = 5*o + 3*o - 6 for v.
-6
Solve 3*t - 67 = 2*t - 3*z, -6*z - 48 = -8*z for t.
-5
Solve 175*l - 173*l = -5*i - 101, -3*l + 5*l - l = -4*i - 82 for i.
-21
Solve -6*d + 32*d - 95 = 3*c, -4*c = 73*d - 77*d + 4 for d.
4
Solve 50*u = 7*t + 42*u + 95, -2*u = 4*t - 18 for t.
-1
Solve 1079 = 32*i + 3*n, 0 = -431*i + 427*i - 4*n + 124 for i.
34
Solve -5*v + 3*b - 21 = 0, -5*v - 4*b - 18288 + 36549 = 18303 for v.
-6
Solve -4*f + 48*x + 260 = 0, -2*f + 3794 - 3774 = -2*x for f.
5
Solve -34*d - i + 122 = -195 + 46, 2*i = 5*d - 42 for d.
8
Solve -4*o - 36 = -q, -859*q + 856*q + 23 = 2*o + 3*o for q.
16
Solve 0 = 4*f - 0*f + 5*t - 91, 46*t = 41*t - 25 for f.
29
Solve -4*k - 601859*x + 601865*x - 49 = -15, -k = -2*x + 12 for k.
2
Solve 5*v + 293 - 254 = 4*d, -3*d + 3 = 5*v for d.
6
Solve 5*b - u - 28 = 0, 8007*b + 2*u + 26 = 8012*b for b.
6
Solve n = -4*a + 1, -3*n + 10 = 16234*a - 16229*a for a.
-1
Solve -16 = b - 3*g, 3*g = -1814*b + 1816*b + 14 for b.
2
Solve -109814*q + 109815*q - 5*v - 4 = 0, -2*v = 8 for q.
-16
Solve 0*t = 2*t - 8*p - 4*p + 14*p + 4, -7*t = -3*p + 44 for t.
-5
Solve 7263 - 7251 = -3*y - 0*k - 4*k, 0 = 3*y - 5*k + 12 for y.
-4
Solve 92 = 3*n + 5*t, 3*n - 828879*t - 132 = -828894*t for n.
24
Solve 34*v = -9*v - 9*a + 161, 2*v + 7*a + 8*a - 53 = 19*a - 19 for v.
5
Solve -47 + 35 = -5*f + 6*g, -8 = -4*f - 11*g + 15*g for f.
0
Solve 3*m - 5*c - 24 = 0, 16*m + 99081*c - 99075*c = 30 for m.
3
Solve 12897 - 12902 = -3*y - 4*l, -3*y - 5*l = -10 for y.
-5
Solve -3*x - 5*u = 8 + 17, 0 = -10*x - 4*u - 25 + 62 - 19 for x.
5
Solve j = 3*k + 62, -2*k - 2*j - 36 = -j + j for k.
-20
Solve s + 10 = -3*h, -101*s - 91317 + 91847 = -5*h for h.
-5
Solve -5*h + 692 - 650 = -4*l, -4*h = 80*l + 216 for l.
-3
Solve -5*k = -5*i - 210, 277*i + 4*k + 27 = 276*i for i.
-39
Solve -5*r + 10*r + 330*l = 4*r - 1988, -2*r - 5*l - 16 = 3*r + 54 for r.
-8
Solve 20*q - 1014 = 5*u - 789, 0 = 2*
|
{
"pile_set_name": "DM Mathematics"
}
|
50 - 244 + 496 to c*y + g + h*y**2 and give g.
2
Rearrange (452 - 17*f - 452)*(4 - 3 + 1)*(-284 + 500 + 36)*(1 - 2*f - 1) to the form i + k*f + u*f**2 and give u.
17136
Express 1330*o - 460*o + 1385*o + 1401*o as u*o + m and give m.
0
Rearrange (-4*y - 4*y + 5*y)*(-y**2 + 0*y**2 + 0*y**2)*(-6532*y - 1492 + 2987 - 1495) to m*y**4 + q*y**2 + c*y + b*y**3 + w and give m.
-19596
Rearrange -42*q**4 - 4*q**4 - 131*q**4 + (3*q**2 + 0 + 0)*(-10*q - 3*q**2 + 10*q) to m*q**3 + f + s*q**4 + p*q**2 + n*q and give s.
-186
Rearrange -7*p - 7161 + 2*p + 15330 - 7176 + (-p - 2*p + p)*(-32 + 57 - 27) to i*p + m and give m.
993
Rearrange (-2 - 2 + 3)*(2*c - 2*c - 2*c) + c + 2*c + 3*c - 4319 + 258*c - 31*c + 264*c + 4319 to n + l*c and give l.
499
Express (-5*p**4 - p**4 + p**4)*(497 - 360 - 263) as r*p + c*p**4 + h*p**3 + u*p**2 + g and give c.
630
Express -2*v**4 + 38*v + 2 + 725*v**2 - 364*v**2 - 359*v**2 + 3*v**3 as k*v**2 + a*v**4 + y*v + b*v**3 + l and give a.
-2
Express -357 + 9*n + 5*n - 9*n - 4*n - 6*n in the form r + w*n and give w.
-5
Express (-19 + 72 - 4)*(956*d - 727*d - 607*d) as k + o*d and give k.
0
Express -32*t + 26*t + 158*t + 6*t - 11*t - 2*t + 3 - 3*t - 3 + (4*t - 6*t + 0*t)*(-2 + 0 + 4) + 2*t + 0*t + 0*t as c + f*t and give f.
140
Rearrange (5*r - 5*r + 2*r)*(-221 + 48 - 614 - 679) to u*r + m and give u.
-2932
Express -142*p**2 - 521*p**2 - 675*p**2 in the form d + j*p**2 + q*p and give j.
-1338
Rearrange (-o - 2*o + 2*o)*(-4 - 28181*o + 976*o - 5710*o + 616*o) to s + x*o + k*o**2 and give x.
4
Express -5993*a**3 - 5948*a**3 - 3*a + 11940*a**3 + 1 + 129*a**2 in the form c*a + s*a**2 + q + m*a**3 and give c.
-3
Express (7*t - 13*t + 18*t)*(35*t**3 + 47*t**3 + 18*t**3) as s*t**4 + y*t**3 + n + c*t + p*t**2 and give s.
1200
Rearrange 4*c**4 - 13*c**3 + 1 + 31*c**3 - 19*c**3 - 8*c**2 - c - 3*c**4 to s*c**2 + h*c + u*c**4 + f*c**3 + r and give u.
1
Express (-30936*b**4 + 14957*b**4 + 12532*b**4)*(-5 + 2 + 2) as f*b**2 + v*b**3 + r + u*b**4 + d*b and give u.
3447
Rearrange (-6 - 8 + 2 + (-3 + 5 + 0)*(8 - 2 - 2) - 1 + 2 + 0)*(2*c**2 + 7*c**3 + 0*c + c - 4*c**3) to the form z + j*c**3 + t*c + a*c**2 and give t.
-3
Express 17*l - 42*l + 3*l + 5 - 2 + 23*l + 106*l**2 in the form w*l**2 + s + r*l and give w.
106
Rearrange 3766*u**2 - 14450901*u + 14450901*u to p*u**2 + f + v*u and give p.
3766
Rearrange -d**4 + 3*d**4 - 4*d**4 + ((-1 + 0 - 1)*(-3 + 0 + 0) - 1 - 6 + 2)*(-224*d**4 + 127*d**4 - 1040*d**4) to g*d + z + n*d**4 + q*d**2 + k*d**3 and give n.
-1139
Express (-16*l**2 - 36 + 556*l - 553*l + 9*l**2)*(-2 + 1 + 2) as g*l**2 + b + p*l and give g.
-7
Express 138 - 31*g - 19*g + 45 + 15*g in the form b*g + t and give t.
183
Rearrange 678825*h**3 + 520*h + 2721*h - 678824*h**3 to b*h + w*h**2 + v + r*h**3 and give b.
3241
Rearrange -4 + 9*a + 0*a**2 + 41*a**2 + 3 - 5*a**2 + 3 to b*a + h*a**2 + j and give h.
36
Rearrange (2*z - 2*z - 3*z)*(100 - 127 - 128)*(-16 - 18 - 154*z + 34) to the form m + q*z**2 + s*z and give q.
-71610
Rearrange -16882 + 2*r**4 + 5*r**2 - r**3 + 16885 - r**4 + r - r**4 - 4*r**4 to s*r**3 + d*r**4 + z + q*r**2 + p*r and give z.
3
Express 25*k**2 + k - 25 - 17 + 2*k - 2*k - 11 in the form q + j*k + o*k**2 and give o.
25
Express -3*w + 28*w**3 + 22*w**3 - 45*w**3 + 74*w as l*w**2 + f*w + j*w**3 + q and give f.
71
Rearrange 10 - 124*p**4 - p + p**3 + 0*p**3 - 9 + 4*p**3 - 4*p**3 to the form b*p**3 + x*p + q + g*p**4 + v*p**2 and give g.
-124
Express (-59 - 64 + 0 + 5)*(-492*s**2 - 42*s**3 + 25*s**3 + 15*s**3) as m*s + f + y*s**3 + u*s**2 and give u.
58056
Express 3307*w**2 - 3*w - 2516*w**2 + 3*w in the form h + k*w + z*w**2 and give z.
791
Express 37*q - 103 + 738 + 221 - 43*q + 5*q in the form t + c*q and give c.
-1
Rearrange -675*r - 411 - 413 + 1242 - 418 to m + b*r and give b.
-675
Rearrange (0*s**2 - s**2 + 4*s**2)*(-141*s - 62*s - 82*s)*(0 - 1 + 5) to k*s**3 + f*s + w*s**2 + j and give k.
-3420
Express (0 + 0 + 1)*(93*w + 56 - 56) + 4*w + 0*w - 2*w as z + r*w and give r.
95
Express -h**4 - h**4 + h**4 + 3*h**4 - h - 2*h**3 + 90*h**2 + 181*h**2 as s + o*h + m*h**2 + p*h**4 + g*h**3 and give g.
-2
Express -20 - 574*m**3 + 72 + 284*m**3 + 292*m**3 + m**2 - 27*m**4 - 2*m in the form t*m**4 + h + q*m**2 + j*m + u*m**3 and give q.
1
Express 134 - 310 - 78 + 116 - x - 312 in the form m + u*x and give m.
-450
Express (33*o + 12*o - 6*o)*(-15 + 44 + 21) in the form u + h*o and give h.
1950
Express (-57*n**2 + 10943*n - 10943*n)*(3 + 4*n - 4 - n) in the form j + s*n + k*n**3 + h*n**2 and give k.
-171
Rearrange (2*c**2 + 2*c - 2*c)*(2 - 2 - 1)*(-46 - 32 + 28 + (-3 + 4 - 10)*(1 - 3 - 2)) to the form d*c + q + l*c**2 and give l.
28
Rearrange 12*j**2 - j**3 - 5396 - j**3 + 5403 - 16*j - 10*j**2 to the form u*j + d*j**3 + s + a*j**2 and give a.
2
Express -56 + 25 + 31 - 19869*j in the form q*j + s and give q.
-19869
Rearrange -7*g - 17*g + 12*g + 18 - 49*g to p*g + o and give o.
18
Express -107*v - v**2 + 4*v + 27*v - 52*v - 104*v - 5 as a*v + p + o*v**2 and give o.
-1
Express -2*z**3 - 6*z**2 + 4282*z + 16*z**2 - 4211*z as y*z**2 + v + g*z + h*z**3 and give v.
0
Express -167*u + 165*u + 1394*u**4 - 1390*u**4 + 325*u**3 as i + y*u**3 + n*u + m*u**2 + q*u**4 and give q.
4
Express (-30 + 30 + t)*(435*t - 1560*t - 1437*t + 381*t - 190*t) in the form p*t + c + h*t**2 and give h.
-2371
Express 1065*z + 994*z - 84931 - 311*z + 84928 in the form y*z + u and give u.
-3
Rearrange 62*p**2 + 24*p**2 + 5 + 59*p**2 - 3 + 1168*p - 147*p**2 to the form y + g*p + j*p**2 and give g.
1168
Express 34026*d**3 - d**2 + 18 + 21*d - 22*d - 34015*d**3 in the form j*d**2 + k + c*d**3 + h*d and give k.
18
Express 152*t**2 - 52*t**3 + 4 - 75*t**2 - 80*t**2 + 73*t**3 + 71*t**3 as p*t**3 + i + h*t**2 + y*t and give h.
-3
Express (2638*l + 3049*l - 50*l)*((1 + 4 - 2)*(1 - 4 + 2) + (0 + 0 - 1)*(-3 - 1 + 2)) in the form b*l + o and give b.
-5637
Express (6 - 1 + 6)*(1 + 2 + 0)*(-2*s**3 + 22051 + 63*s - 22051) in the form u*s + k*s**2 + d + a*s**3 and give u.
2079
Rearrange 29531 - 29531 + 663*u**2 to the form a*u + d + v*u**2 and give v.
663
Express -2 - 303*i**2 + 5*i + i**4 - 6244*i**3 + 6246*i**3 + 3*i - 6*i + 0*i**4 as q + w*i + v*i**3 + b*i**4 + m*i**2 and give v.
2
Rearrange -4*k**2 - 84*k**3 + 72*k**3 + 7*k + 17*k**3 - 7*k - 6 to l*k**2 + x + b*k**3 + t*k and give b.
5
Rearrange (-99 - 43 - 185)*(-1065*i + 19*i**3 + 1065*i + 3*i**2) to the form c*i + x*i**2 + d*i**3 + s and give d.
-6213
Rearrange (-319*x - 123*x - 36*x)*(3 - 3 + 2)*(0*x + 0*x + 2*x) to the form l + z*x + y*x**2 and give y.
-1912
Rearrange 13*q**2 + 12*q**2 - 57*q**2 + 4*q + 20*q**2 - 1 + q**3 + 18*q**2 to the form v + h*q**2 + x*q**3 + b*q and give h.
6
Express -23*w - 1 + 49*w + 134*w**3 - 24*w + 5*w**2 + 8*w**3 + 0*w**2 as d*w**3 + r*w + a*w**2 + m and give d.
142
Rearrange -161595*i + 122940*i + 0 + 0 to p + h*i and give h.
-38655
Rearrange -9*k + 2 - 76*k**3 - k**4 - 3 + 10*k**2 + 78*k**3 + 9*k to z*k + q*k**2 + y*k**4 + l + g*k**3 and give y.
-1
Express (84112 - 42056 - 197*t - 42056 - 33*t)*(4*t + 0*t - 2*t) in the form p*t + x*t**2 + q and give x.
-460
Express -106 + 108 - 12*p**4 - 21*p**4 - 9*p**4 - 4*p - p**4 as o*p**4 + f*p**2 + b*p**3 + y*p + j and give o.
-43
Express 344*k - 3456 - 73*k**3 + 3454 - 290*k as f*k**3 + q + s*k**2 + u*k and give f.
-73
Rearrange (3*m - 22 + 22)*(66 - 34 - 50)*(-2 + 3 + 2) to the form z*m + w and give z.
-162
Rearrange 40*a**4 - 13*a**2 - a**3 + 40*a**4 + 2 + 52*a**4 - 2*a - a**3 + 8*a**2 to the form v*a + h + y*a**4 + c*a**3 + z*a**2 and give y.
132
Rearrange -2*a**4 - 11*a**3 + 11*a**3 + (171 - 83 + 211)*(3 - a**4 - 3) - a**4 - a**4 + a**4 to f*a + l*a**3 + v + x*a**4 + r*a**2 and give x.
-302
Express (-6*a - 4*a + 4*a + (-3 - 1 + 3)*(-6*a + 3*a + 5*a) + a - 3 + 3)*(1359*a - 706*a - 690*a) in the form r + v*a**2 + l*a and give v.
259
Express 9*y**2 + 2*y - 3*y**2 + 2*y**3 - 49 - 3*y**3 - 7*y**2 + 2*y**4 as k*y**3 + t + z*y**2 + n*y**4 + a*y and give k.
-1
Rearrange (0 - 9 - 571*v**2 - 186*v**2 + 6065*v**2)*(v - 2*v - v) to the form a + r*v**3 + q*v + h*v**2 and give q.
18
Express 1633779 - 3*t - 19*t**3 - 1633861 + 3*t in the form s + d*t**3 + m*t**2 + o*t and give s.
-82
Express (2*j**2 + j**3 - j**3 - 2*j**3)*(1 - 1 - 3)*(-3 + 2 + 5) + 18*j**3 -
|
{
"pile_set_name": "DM Mathematics"
}
|
f 761761 and 171171?
1001
What is the greatest common divisor of 13 and 1343899908?
13
What is the greatest common factor of 255 and 3796491?
51
Calculate the greatest common divisor of 174250 and 10004500.
4250
Calculate the greatest common factor of 1186856 and 2464.
88
Calculate the greatest common divisor of 14658322 and 4172.
2086
Calculate the highest common divisor of 896908 and 92.
92
What is the greatest common factor of 1024882 and 1410?
94
Calculate the highest common divisor of 2825 and 315660415.
565
Calculate the highest common divisor of 87087 and 65178399.
12441
What is the greatest common divisor of 76969 and 133?
19
What is the greatest common factor of 80251890 and 4440?
1110
Calculate the greatest common divisor of 36869 and 82296875.
5267
What is the highest common factor of 1410 and 2992215990?
1410
Calculate the highest common divisor of 195 and 24394617.
39
Calculate the greatest common divisor of 206 and 26442263.
103
What is the greatest common divisor of 2601558 and 15741?
1431
What is the greatest common divisor of 23268738 and 44723?
6389
What is the highest common factor of 13667 and 2364865?
79
What is the highest common divisor of 233757706 and 182?
182
Calculate the highest common factor of 4356 and 21724452.
36
Calculate the highest common factor of 5635603 and 3492.
97
Calculate the highest common divisor of 12 and 295862244.
12
What is the highest common divisor of 563775 and 925?
25
Calculate the greatest common factor of 968 and 58743080.
968
What is the highest common divisor of 2363 and 9384?
17
What is the highest common divisor of 375 and 6563175?
75
Calculate the greatest common factor of 4259849 and 88.
11
Calculate the greatest common divisor of 168106868 and 554.
554
What is the highest common divisor of 683152426 and 3938?
3938
Calculate the greatest common factor of 6246560 and 96.
32
Calculate the greatest common factor of 3990970 and 30.
10
What is the greatest common divisor of 134991 and 120999?
159
What is the highest common factor of 837 and 12281921?
31
What is the highest common divisor of 6842494 and 7678?
698
Calculate the greatest common factor of 1236 and 97163814.
618
Calculate the greatest common divisor of 8350718 and 124.
62
What is the greatest common factor of 2663531 and 52?
13
Calculate the highest common divisor of 531683 and 535.
107
What is the greatest common factor of 37413803 and 257?
257
What is the greatest common factor of 840 and 116305?
35
Calculate the greatest common factor of 29115630 and 90.
90
Calculate the highest common divisor of 5 and 140546.
1
Calculate the greatest common divisor of 3813 and 43914.
3
What is the highest common factor of 2591820 and 3220?
140
Calculate the greatest common factor of 6460 and 1200370.
170
What is the greatest common divisor of 9332296 and 4690?
134
Calculate the highest common factor of 1950880 and 1503712.
4384
Calculate the greatest common factor of 48028728 and 2200.
88
What is the greatest common divisor of 42120590 and 90?
10
What is the highest common divisor of 78 and 21774350?
26
What is the highest common factor of 1419 and 183317772?
1419
Calculate the greatest common divisor of 46172 and 23561300.
2716
Calculate the highest common divisor of 727056 and 48.
48
Calculate the greatest common divisor of 93024 and 7668096.
1824
What is the greatest common divisor of 32201 and 3029?
13
Calculate the highest common divisor of 7414 and 1254902.
22
Calculate the highest common factor of 2104 and 83847293.
263
Calculate the highest common factor of 3577659 and 159.
159
Calculate the highest common divisor of 860812 and 12104.
68
What is the highest common factor of 193488 and 420?
12
What is the highest common divisor of 361 and 482740391?
361
Calculate the highest common factor of 4624908 and 1204.
172
What is the greatest common divisor of 39141281 and 41661?
1543
Calculate the greatest common divisor of 2636 and 6646015.
659
Calculate the highest common factor of 9047908 and 1364.
124
Calculate the greatest common divisor of 68365 and 20227.
113
What is the greatest common factor of 109351112 and 812?
116
What is the highest common divisor of 2216580 and 2280?
60
Calculate the greatest common divisor of 913409390 and 10.
10
What is the highest common divisor of 733782890 and 20?
10
Calculate the greatest common divisor of 153 and 5728881.
51
What is the highest common factor of 8371460 and 22855?
3265
What is the greatest common factor of 9296 and 546916216?
4648
Calculate the greatest common factor of 9248 and 37515872.
544
What is the highest common divisor of 47959043 and 44?
11
Calculate the greatest common factor of 21410 and 1137790.
10
Calculate the highest common factor of 3065 and 731217050.
3065
What is the highest common factor of 63666 and 49209102?
2358
What is the highest common factor of 50 and 89484915?
5
Calculate the highest common factor of 8844530 and 125.
5
Calculate the highest common factor of 75151 and 3568.
223
Calculate the greatest common factor of 990420 and 51068.
68
Calculate the greatest common factor of 172033 and 16459439.
2423
Calculate the greatest common divisor of 8351119 and 245.
49
What is the greatest common factor of 364 and 24130925?
91
What is the greatest common factor of 862661 and 161?
23
Calculate the greatest common factor of 225518020 and 980.
140
Calculate the greatest common factor of 79390 and 6205.
85
What is the highest common factor of 48626458 and 4169?
379
Calculate the greatest common divisor of 6494 and 25738.
34
What is the greatest common divisor of 103385 and 182091?
667
Calculate the greatest common divisor of 36649 and 107759.
547
Calculate the highest common factor of 13209 and 3983457.
1887
What is the greatest common factor of 6696 and 15919740?
3348
What is the highest common divisor of 14193764 and 161356?
5564
What is the greatest common divisor of 14 and 162123353?
7
Calculate the highest common factor of 128792 and 1337164.
3788
What is the greatest common divisor of 62674087 and 539?
49
What is the greatest common factor of 45662475 and 1030?
515
What is the greatest common divisor of 856932 and 864?
12
What is the highest common factor of 57717390 and 1068?
534
Calculate the greatest common factor of 1401925 and 10150.
175
Calculate the greatest common factor of 68 and 20378.
2
What is the greatest common divisor of 34496 and 1934912?
3136
What is the highest common divisor of 7828755 and 12342?
561
Calculate the highest common divisor of 26475363 and 894.
447
What is the greatest common factor of 208 and 4780560?
16
What is the greatest common factor of 135101052 and 972?
36
What is the greatest common divisor of 2463565 and 124245?
1255
What is the highest common divisor of 13 and 169130559?
13
Calculate the highest common factor of 41289864 and 3696.
1848
What is the greatest common factor of 274662 and 144036?
18
Calculate the greatest common factor of 475 and 38723350.
25
Calculate the greatest common divisor of 172104 and 62409.
213
Calculate the highest common factor of 1049724 and 253188.
468
Calculate the greatest common divisor of 366978 and 3720.
186
What is the greatest common divisor of 36056251 and 4466?
2233
Calculate the greatest common divisor of 2284 and 796604.
4
What is the greatest common divisor of 266 and 26424383?
19
What is the greatest common divisor of 162357 and 6486?
69
Calculate the highest common factor of 362705 and 435805.
215
Calculate the greatest common divisor of 3478 and 35090.
2
Calculate the greatest common divisor of 1047395 and 375.
5
What is the greatest common factor of 616551691 and 5529?
1843
What is the highest common divisor of 364 and 237894468?
28
Calculate the greatest common factor of 663 and 6912.
3
Calculate the highest common factor of 128 and 984918.
2
Calculate the greatest common factor of 10405581 and 70563.
1641
Calculate the highest common divisor of 13 and 4451633303.
13
Calculate the highest common divisor of 9551012 and 16.
4
What is the highest common factor of 1963 and 5616294?
151
What is the highest common factor of 26327084 and 323?
323
What is the highest common divisor of 981 and 118698057?
981
Calculate the highest common factor of 30 and 6538190.
10
What is the highest co
|
{
"pile_set_name": "DM Mathematics"
}
|
tes are there between 10:57 PM and 5:03 AM?
366
How many minutes are there between 10:49 PM and 2:58 AM?
249
How many minutes are there between 3:24 PM and 5:58 PM?
154
What is 170 minutes before 2:39 AM?
11:49 PM
How many minutes are there between 11:57 AM and 11:12 PM?
675
How many minutes are there between 10:06 AM and 4:52 PM?
406
How many minutes are there between 10:02 PM and 4:14 AM?
372
What is 130 minutes after 8:16 AM?
10:26 AM
How many minutes are there between 5:47 PM and 3:29 AM?
582
What is 456 minutes before 10:43 AM?
3:07 AM
How many minutes are there between 1:03 PM and 7:17 PM?
374
What is 692 minutes before 2:27 PM?
2:55 AM
What is 480 minutes after 5:08 AM?
1:08 PM
How many minutes are there between 4:23 AM and 5:03 AM?
40
What is 88 minutes after 10:07 PM?
11:35 PM
What is 137 minutes before 9:28 AM?
7:11 AM
What is 631 minutes after 11:22 PM?
9:53 AM
What is 126 minutes before 5:08 AM?
3:02 AM
How many minutes are there between 1:57 AM and 5:57 AM?
240
What is 101 minutes before 12:01 PM?
10:20 AM
How many minutes are there between 5:53 AM and 9:20 AM?
207
How many minutes are there between 5:38 AM and 12:46 PM?
428
What is 492 minutes before 3:35 AM?
7:23 PM
What is 481 minutes before 2:29 PM?
6:28 AM
How many minutes are there between 8:08 PM and 9:10 PM?
62
How many minutes are there between 10:29 AM and 9:16 PM?
647
How many minutes are there between 5:24 PM and 7:27 PM?
123
How many minutes are there between 10:36 AM and 3:40 PM?
304
How many minutes are there between 10:04 AM and 7:53 PM?
589
How many minutes are there between 6:58 PM and 8:35 PM?
97
How many minutes are there between 1:14 PM and 2:21 PM?
67
What is 670 minutes before 2:19 AM?
3:09 PM
What is 71 minutes after 10:23 PM?
11:34 PM
What is 539 minutes after 12:21 AM?
9:20 AM
What is 126 minutes after 11:42 PM?
1:48 AM
What is 707 minutes after 3:00 AM?
2:47 PM
What is 303 minutes before 4:58 PM?
11:55 AM
What is 324 minutes before 5:02 AM?
11:38 PM
What is 117 minutes before 7:26 AM?
5:29 AM
How many minutes are there between 11:45 AM and 5:38 PM?
353
How many minutes are there between 12:08 PM and 4:57 PM?
289
What is 581 minutes before 8:52 AM?
11:11 PM
How many minutes are there between 11:28 PM and 3:42 AM?
254
How many minutes are there between 10:45 AM and 1:14 PM?
149
What is 490 minutes before 8:32 PM?
12:22 PM
What is 110 minutes before 11:04 PM?
9:14 PM
How many minutes are there between 12:56 PM and 11:07 PM?
611
How many minutes are there between 12:39 AM and 4:39 AM?
240
How many minutes are there between 4:49 PM and 8:55 PM?
246
How many minutes are there between 9:24 PM and 7:35 AM?
611
What is 107 minutes after 11:47 PM?
1:34 AM
What is 588 minutes before 12:22 PM?
2:34 AM
How many minutes are there between 3:49 AM and 9:07 AM?
318
What is 699 minutes after 12:46 PM?
12:25 AM
How many minutes are there between 6:42 PM and 4:27 AM?
585
What is 547 minutes before 6:33 PM?
9:26 AM
What is 588 minutes before 7:28 PM?
9:40 AM
What is 36 minutes before 12:06 PM?
11:30 AM
What is 170 minutes after 5:27 PM?
8:17 PM
What is 398 minutes before 3:50 PM?
9:12 AM
How many minutes are there between 1:07 PM and 10:31 PM?
564
How many minutes are there between 8:16 PM and 1:39 AM?
323
How many minutes are there between 12:49 PM and 6:56 PM?
367
How many minutes are there between 12:14 PM and 11:29 PM?
675
What is 609 minutes before 7:16 AM?
9:07 PM
How many minutes are there between 11:16 AM and 9:41 PM?
625
How many minutes are there between 4:50 PM and 7:55 PM?
185
What is 704 minutes after 10:00 PM?
9:44 AM
How many minutes are there between 6:10 PM and 8:18 PM?
128
What is 19 minutes after 12:50 AM?
1:09 AM
What is 504 minutes after 2:21 AM?
10:45 AM
What is 296 minutes after 12:25 PM?
5:21 PM
How many minutes are there between 1:10 PM and 4:00 PM?
170
How many minutes are there between 7:00 AM and 10:37 AM?
217
How many minutes are there between 7:13 PM and 3:26 AM?
493
What is 681 minutes after 11:25 AM?
10:46 PM
How many minutes are there between 9:12 AM and 12:55 PM?
223
How many minutes are there between 9:39 AM and 10:29 AM?
50
How many minutes are there between 7:19 AM and 11:33 AM?
254
What is 243 minutes before 4:35 PM?
12:32 PM
What is 429 minutes after 6:58 PM?
2:07 AM
How many minutes are there between 6:56 AM and 2:38 PM?
462
What is 581 minutes after 6:24 AM?
4:05 PM
What is 618 minutes after 12:32 PM?
10:50 PM
What is 421 minutes after 5:23 AM?
12:24 PM
What is 414 minutes after 7:04 AM?
1:58 PM
What is 514 minutes before 9:12 AM?
12:38 AM
What is 643 minutes after 9:37 PM?
8:20 AM
What is 703 minutes after 2:14 PM?
1:57 AM
What is 107 minutes before 2:39 AM?
12:52 AM
How many minutes are there between 1:59 AM and 10:27 AM?
508
What is 714 minutes before 9:00 AM?
9:06 PM
What is 620 minutes before 7:33 AM?
9:13 PM
What is 309 minutes before 4:50 AM?
11:41 PM
What is 430 minutes before 12:07 PM?
4:57 AM
What is 609 minutes after 4:57 AM?
3:06 PM
How many minutes are there between 4:25 PM and 11:13 PM?
408
How many minutes are there between 3:47 PM and 5:44 PM?
117
How many minutes are there between 6:45 PM and 10:57 PM?
252
What is 617 minutes after 4:08 AM?
2:25 PM
What is 207 minutes after 10:58 PM?
2:25 AM
What is 237 minutes before 7:40 PM?
3:43 PM
How many minutes are there between 2:33 AM and 3:24 AM?
51
What is 354 minutes after 11:36 PM?
5:30 AM
What is 123 minutes after 8:46 PM?
10:49 PM
How many minutes are there between 3:23 AM and 11:44 AM?
501
What is 685 minutes before 3:17 AM?
3:52 PM
What is 573 minutes before 4:55 PM?
7:22 AM
How many minutes are there between 7:32 PM and 11:45 PM?
253
How many minutes are there between 6:10 AM and 9:41 AM?
211
How many minutes are there between 10:05 AM and 11:16 AM?
71
What is 405 minutes before 9:14 PM?
2:29 PM
What is 244 minutes before 11:12 PM?
7:08 PM
How many minutes are there between 10:24 PM and 12:05 AM?
101
What is 148 minutes after 2:23 PM?
4:51 PM
What is 520 minutes after 3:49 AM?
12:29 PM
What is 480 minutes after 11:33 PM?
7:33 AM
How many minutes are there between 10:32 AM and 12:27 PM?
115
What is 71 minutes after 5:36 AM?
6:47 AM
How many minutes are there between 4:26 PM and 2:43 AM?
617
How many minutes are there between 9:23 AM and 10:51 AM?
88
How many minutes are there between 1:49 PM and 10:17 PM?
508
What is 657 minutes after 8:55 PM?
7:52 AM
What is 120 minutes after 10:44 PM?
12:44 AM
What is 432 minutes before 8:03 PM?
12:51 PM
How many minutes are there between 1:57 PM and 6:36 PM?
279
What is 44 minutes after 5:27 PM?
6:11 PM
What is 172 minutes before 2:20 AM?
11:28 PM
How many minutes are there between 8:00 PM and 3:10 AM?
430
How many minutes are there between 10:55 AM and 10:23 PM?
688
How many minutes are there between 11:04 PM and 10:35 AM?
691
What is 468 minutes after 10:05 AM?
5:53 PM
What is 145 minutes after 9:50 AM?
12:15 PM
What is 71 minutes before 9:54 AM?
8:43 AM
What is 12 minutes before 1:37 AM?
1:25 AM
What is 502 minutes after 9:43 AM?
6:05 PM
What is 89 minutes before 3:18 AM?
1:49 AM
How many minutes are there between 10:08 AM and 9:56 PM?
708
What is 153 minutes before 1:09 PM?
10:36 AM
What is 27 minutes after 7:25 PM?
7:52 PM
What is 677 minutes after 7:13 PM?
6:30 AM
What is 353 minutes after 6:36 AM?
12:29 PM
What is 481 minutes after 6:39 AM?
2:40 PM
What is 111 minutes before 1:29 AM?
11:38 PM
How many minutes are there between 11:01 PM and 2:15 AM?
194
What is 145 minutes before 7:00 PM?
4:35 PM
What is 680 minutes before 4:35 AM?
5:15 PM
How many minutes are there between 2:20 PM and 7:52 PM?
332
What is 685 minutes before 5:27 AM?
6:02 PM
What is 421 minutes before 9:49 PM?
2:48 PM
What is 238 minutes before 9:43 PM?
5:45 PM
What is 132 minutes before 2:36 AM?
12:24 AM
What is 309 minutes before 6:47 AM?
1:38 AM
How many minutes are there between 8:21 PM and 6:57 AM?
636
How many minutes are there between 1:28 AM and 3:11 AM?
103
What is 559 minutes before 12:45 AM?
3:26 PM
What is 583 minutes before 1:40 PM?
3:57 AM
What is 128 minutes before 9:42 AM?
7:34 AM
What is 185 minutes before 1:03 AM?
9:58 PM
How many minutes are there between 9:25 AM and 7:07 PM?
582
How many minutes are there between 8:00 AM and 4:08 PM?
|
{
"pile_set_name": "DM Mathematics"
}
|
ors of 2112109?
73, 28933
What are the prime factors of 11532?
2, 3, 31
What are the prime factors of 462309?
3, 73, 2111
What are the prime factors of 32196097?
167, 192791
What are the prime factors of 1113014?
2, 7, 107, 743
What are the prime factors of 3156454?
2, 7, 225461
List the prime factors of 758777.
71, 10687
List the prime factors of 5173892.
2, 1293473
What are the prime factors of 299566?
2, 101, 1483
What are the prime factors of 2912834?
2, 1456417
What are the prime factors of 1018885?
5, 7, 43, 677
List the prime factors of 7018456.
2, 37, 131, 181
What are the prime factors of 58328?
2, 23, 317
What are the prime factors of 720061?
23, 31307
What are the prime factors of 486789?
3, 162263
List the prime factors of 188052.
2, 3, 15671
List the prime factors of 17549410.
2, 5, 31, 56611
What are the prime factors of 1750735?
5, 7, 50021
List the prime factors of 9390937.
9390937
List the prime factors of 377515.
5, 75503
What are the prime factors of 8648863?
8648863
What are the prime factors of 113873?
23, 4951
List the prime factors of 10845186.
2, 3, 11, 164321
What are the prime factors of 4518716?
2, 1129679
What are the prime factors of 57464?
2, 11, 653
List the prime factors of 6387431.
41, 83, 1877
What are the prime factors of 166068?
2, 3, 7, 659
What are the prime factors of 1248787?
37, 33751
List the prime factors of 4350057.
3, 1450019
List the prime factors of 5209468.
2, 11, 197, 601
List the prime factors of 666312.
2, 3, 27763
What are the prime factors of 10255?
5, 7, 293
List the prime factors of 3489576.
2, 3, 145399
List the prime factors of 5210247.
3, 7, 137, 1811
What are the prime factors of 312409?
17, 23, 47
What are the prime factors of 442598?
2, 13, 29, 587
List the prime factors of 998424.
2, 3, 7, 283
List the prime factors of 481245.
3, 5, 32083
List the prime factors of 295007.
295007
What are the prime factors of 5778583?
2267, 2549
What are the prime factors of 321405?
3, 5, 7, 3061
List the prime factors of 18342655.
5, 3668531
What are the prime factors of 4794887?
43, 111509
List the prime factors of 191073.
3, 63691
What are the prime factors of 493703?
7, 70529
List the prime factors of 8644034.
2, 7, 479, 1289
List the prime factors of 5851.
5851
List the prime factors of 16463570.
2, 5, 1646357
What are the prime factors of 913070?
2, 5, 17, 41, 131
What are the prime factors of 953276?
2, 67, 3557
What are the prime factors of 26382147?
3, 11, 17, 31, 37, 41
List the prime factors of 1067839.
233, 4583
List the prime factors of 531696.
2, 3, 11, 19, 53
List the prime factors of 7031132.
2, 17, 103399
What are the prime factors of 475107?
3, 29, 43, 127
What are the prime factors of 65328?
2, 3, 1361
List the prime factors of 1462362.
2, 3, 11, 22157
What are the prime factors of 22779997?
191, 119267
What are the prime factors of 3180455?
5, 137, 4643
What are the prime factors of 1366380?
2, 3, 5, 7591
List the prime factors of 1367031.
3, 19, 29, 827
What are the prime factors of 3223627?
11, 227, 1291
List the prime factors of 4693733.
11, 53, 83, 97
List the prime factors of 3639901.
359, 10139
List the prime factors of 905263.
101, 8963
What are the prime factors of 144873?
3, 16097
What are the prime factors of 3540342?
2, 3, 13, 45389
What are the prime factors of 8604727?
881, 9767
What are the prime factors of 399754?
2, 199877
List the prime factors of 543442.
2, 163, 1667
What are the prime factors of 106679?
107, 997
What are the prime factors of 387655?
5, 31, 41, 61
List the prime factors of 2767868.
2, 73, 9479
What are the prime factors of 15827250?
2, 3, 5, 47, 449
List the prime factors of 126289.
47, 2687
What are the prime factors of 160017?
3, 11, 13, 373
What are the prime factors of 45057?
3, 23, 653
List the prime factors of 572723.
23, 37, 673
What are the prime factors of 1433383?
7, 23, 29, 307
List the prime factors of 1826288.
2, 114143
What are the prime factors of 6783304?
2, 11, 19, 4057
List the prime factors of 24564676.
2, 103, 109, 547
What are the prime factors of 3453526?
2, 233, 7411
List the prime factors of 3386387.
3386387
What are the prime factors of 659786?
2, 47, 7019
List the prime factors of 1461654.
2, 3, 81203
List the prime factors of 1652021.
7, 23, 31, 331
List the prime factors of 248242.
2, 124121
List the prime factors of 1042934.
2, 53, 9839
What are the prime factors of 10784254?
2, 13, 414779
What are the prime factors of 5282159?
5282159
What are the prime factors of 6008417?
1481, 4057
What are the prime factors of 17890306?
2, 7, 1277879
What are the prime factors of 7506734?
2, 3753367
What are the prime factors of 5349931?
43, 83, 1499
List the prime factors of 81791.
89, 919
What are the prime factors of 307518?
2, 3, 107, 479
List the prime factors of 19412344.
2, 7, 346649
What are the prime factors of 20177741?
1283, 15727
List the prime factors of 557199.
3, 2293
List the prime factors of 5657145.
3, 5, 13, 67, 433
List the prime factors of 4016183.
167, 24049
List the prime factors of 245773.
11, 22343
List the prime factors of 798579.
3, 9859
List the prime factors of 538419.
3, 7, 25639
What are the prime factors of 77458?
2, 38729
List the prime factors of 6556027.
6556027
List the prime factors of 1186075.
5, 11, 19, 227
List the prime factors of 1329176.
2, 166147
What are the prime factors of 1554036?
2, 3, 11, 61, 193
List the prime factors of 8567419.
7, 1009, 1213
List the prime factors of 3490794.
2, 3, 19, 59, 173
List the prime factors of 27089618.
2, 103, 107, 1229
What are the prime factors of 14052770?
2, 5, 23, 61099
What are the prime factors of 696059?
7, 13, 7649
What are the prime factors of 301736?
2, 37717
What are the prime factors of 5069395?
5, 1013879
List the prime factors of 4384877.
7, 19, 32969
List the prime factors of 3939876.
2, 3, 109441
List the prime factors of 220029.
3, 71, 1033
List the prime factors of 531501.
3, 177167
What are the prime factors of 1271795?
5, 7, 29, 179
List the prime factors of 1863498.
2, 3, 7, 13, 3413
What are the prime factors of 3444551?
11, 487, 643
What are the prime factors of 251429?
251429
List the prime factors of 198730.
2, 5, 7, 17, 167
What are the prime factors of 254574?
2, 3, 14143
List the prime factors of 624423.
3, 208141
What are the prime factors of 314417?
229, 1373
What are the prime factors of 23520606?
2, 3, 199, 19699
List the prime factors of 2338192.
2, 317, 461
What are the prime factors of 3600292?
2, 29, 41, 757
What are the prime factors of 329975?
5, 67, 197
What are the prime factors of 689294?
2, 107, 3221
List the prime factors of 2782065.
3, 5, 11, 13, 1297
What are the prime factors of 315120?
2, 3, 5, 13, 101
List the prime factors of 5824445.
5, 11, 105899
What are the prime factors of 4005923?
43, 59, 1579
What are the prime factors of 263818?
2, 131909
What are the prime factors of 8049197?
13, 619169
What are the prime factors of 228332?
2, 13, 4391
What are the prime factors of 27842085?
3, 5, 131, 4723
What are the prime factors of 242398?
2, 13, 9323
List the prime factors of 900817.
900817
List the prime factors of 297002.
2, 148501
List the prime factors of 514405.
5, 102881
List the prime factors of 726264.
2, 3, 7, 11, 131
List the prime factors of 316402.
2, 158201
List the prime factors of 397197.
3, 47, 313
List the prime factors of 714629.
17, 127, 331
List the prime factors of 173753.
239, 727
What are the prime factors of 4119199?
7, 193, 3049
What are the prime factors of 5458180?
2, 5, 7, 13, 2999
List the prime factors of 949368.
2, 3, 7, 5651
List the prime factors of 6350449.
7, 29, 41, 109
What are the prime factors of 6306174?
2, 3, 7, 67, 83
List the prime factors of 388535.
5, 7, 17, 653
What are the prime factors of 7231583?
7231583
What are the prime factors of 2569304?
2, 321163
List the prime factors of 16236360.
2, 3, 5, 7, 17, 379
What are the prime factors of 3001077?
3, 41, 2711
What are the prime factors of 1392032?
2, 41, 1061
What are the prime factors of 12818058?
2, 3, 11, 29, 37, 181
List the prime factors of 6755.
5, 7, 193
List the prime factors of 470058.
2, 3, 157, 499
List the prime factors of 135722.
2, 79, 859
What are the prime factors of 2511916?
2, 11, 57089
|
{
"pile_set_name": "DM Mathematics"
}
|
- 35088 - 35053 + 105205.
-29*g**2
Collect the terms in -1558*p**2 + 416*p**2 + 28*p**2 - 763*p**2 - 489*p**2.
-2366*p**2
Collect the terms in 1804*h**3 + 2352*h**3 - 4093*h**3.
63*h**3
Collect the terms in 69626*l - 23320*l - 23528*l - 23196*l.
-418*l
Collect the terms in 206*l**3 + 215*l**3 - 440*l**3 - 5*l**2 + 132*l**3 + 5*l**2.
113*l**3
Collect the terms in -1414 - 5*p - 324 + 4*p + 260 + 4*p.
3*p - 1478
Collect the terms in -944*v - 2*v**3 - 203 + 4*v**3 + 913*v - 112.
2*v**3 - 31*v - 315
Collect the terms in -71*o**2 + 1120692559 - 1120692559.
-71*o**2
Collect the terms in 2506*y**2 - 868*y**2 - 840*y**2 - 842*y**2 - 2 + 2.
-44*y**2
Collect the terms in -397*f**2 + 1183*f**2 - 413*f**2 - 411*f**2.
-38*f**2
Collect the terms in 138932877*h - 215*h**3 - 138932887*h + 219*h**3.
4*h**3 - 10*h
Collect the terms in -264063*y**2 - 1 + 1 + 1024588*y**2.
760525*y**2
Collect the terms in -4005*f + 144291 - 144291.
-4005*f
Collect the terms in -24038 + 24038 - 423*o - 2500*o.
-2923*o
Collect the terms in 761*i - 870*i - 982 + 984.
-109*i + 2
Collect the terms in -32*x**2 - 97*x**2 + 197*x**2 - 49*x**2 - 89*x**2.
-70*x**2
Collect the terms in -75152*p + 197*p - 2 - 54640*p - 77551*p.
-207146*p - 2
Collect the terms in 8 + 2*t + 6 + 25448*t**3 - 5 - 9.
25448*t**3 + 2*t
Collect the terms in 169*q**3 + 165*q**3 + 2*q**2 + 6*q - 26*q - 315*q**3 - 2*q**2.
19*q**3 - 20*q
Collect the terms in 31 + 28 - 21 - 264*p - 40.
-264*p - 2
Collect the terms in 6370*g**2 + 6349*g**2 + 6363*g**2 - 19095*g**2.
-13*g**2
Collect the terms in 18502*r - 11575*r + 10174*r + 27064*r.
44165*r
Collect the terms in 1153 + 14*z + 18*z - 1153 + 132*z - 140*z.
24*z
Collect the terms in -471*l**2 + 5*l - 5*l + 1595*l**2.
1124*l**2
Collect the terms in -1869150*g**2 + 1528936*g**2 + 4870864*g**2 + 1755904*g**2.
6286554*g**2
Collect the terms in -33 + 4976*w**2 + 83 - 50.
4976*w**2
Collect the terms in -74*z**3 - z**2 + 156*z + z**2 + 174*z - 330*z + 99*z**3.
25*z**3
Collect the terms in 14493*w - 8169*w + 16277*w + 3353*w + 12357*w.
38311*w
Collect the terms in -86*j**2 - 168*j**3 - 2 + 86*j**2 + 3*j - 1 + 1.
-168*j**3 + 3*j - 2
Collect the terms in -679*g + 1973*g - 524*g - 696*g.
74*g
Collect the terms in -4933*l + 1664*l + 2 - 2 + 1609*l + 1672*l.
12*l
Collect the terms in 65 - 6*g + 62 - 279 + 71 + 68.
-6*g - 13
Collect the terms in 1962*h**3 + 631*h**3 + 812*h**3 - 4861*h**3.
-1456*h**3
Collect the terms in 402*k - 13*k**3 + 76*k**3 - 61*k**3.
2*k**3 + 402*k
Collect the terms in -4574 + 1525 + 1525 + 722*y**2 + 1524 - 2*y.
722*y**2 - 2*y
Collect the terms in -1509*p**2 - 154*p**2 + 3682 - 3690.
-1663*p**2 - 8
Collect the terms in 18*n - 5*n + 200 - 390 + 2*n + 4*n + 187.
19*n - 3
Collect the terms in -6*n**3 - 5*n**3 + 71142 - 71150.
-11*n**3 - 8
Collect the terms in -7593*u**2 - 7103*u**3 + 7104*u**3 + 7593*u**2.
u**3
Collect the terms in -50304*v**3 - 7286 + 50274*v**3 + 7286.
-30*v**3
Collect the terms in -1399*x + 599*x + 791*x + 7 - 1.
-9*x + 6
Collect the terms in -43 - 720*y - 721*y + 2150*y - 2*y**2 - 711*y + 158.
-2*y**2 - 2*y + 115
Collect the terms in -15*j**2 - 153 + 13*j**2 - 49 + 61*j**3.
61*j**3 - 2*j**2 - 202
Collect the terms in -49183*r**2 + 25051*r**2 + 24148*r**2.
16*r**2
Collect the terms in 310*v**2 - 319*v**2 + v**2 + 3*v**2 - 3 + v**2.
-4*v**2 - 3
Collect the terms in 375*i**3 - 373*i**3 - 619*i**3 - 474*i**3 - 2764*i**3.
-3855*i**3
Collect the terms in -907*t**2 + 18 + 1751*t**3 - 18.
1751*t**3 - 907*t**2
Collect the terms in -482*a - 1504*a + 2 + 7 - 9.
-1986*a
Collect the terms in 126 - 4 - 100 + 7*f - 23 - 9*f.
-2*f - 1
Collect the terms in -3*g**2 - 16091*g**3 + 3*g**2 + 8036*g**3 + 8040*g**3.
-15*g**3
Collect the terms in 10949*n + 8769*n - 21386*n.
-1668*n
Collect the terms in -332*i**2 - 704*i**2 + 259*i**2 - 305*i**2 - 188*i**2.
-1270*i**2
Collect the terms in -18*h + 24 - 297 + 89 + 81 + 103 + 13*h.
-5*h
Collect the terms in 308348*h - 102781*h - 102807*h - 102758*h.
2*h
Collect the terms in 1025*f - 1146*f + 118*f.
-3*f
Collect the terms in -397*f + 107*f - 3 + 98*f + 3 + 95*f + 105*f.
8*f
Collect the terms in -10*g - 5 + 10069*g**2 + 3 + 11*g.
10069*g**2 + g - 2
Collect the terms in 3453*r**2 - 1593*r**2 - 33458*r**2.
-31598*r**2
Collect the terms in -707*z - 707*z + 2864*z - 743*z - 710*z.
-3*z
Collect the terms in -1517*f**3 + 6819 - 636*f**3 - 6819.
-2153*f**3
Collect the terms in -34*n + 190*n + 8*n + 359 - 1095.
164*n - 736
Collect the terms in 3128 + 7*n**2 + 3136 - 6266 + 1202*n.
7*n**2 + 1202*n - 2
Collect the terms in 3*x**3 + 8*x**2 - 9 - 45 + 88 - x**2 - 34.
3*x**3 + 7*x**2
Collect the terms in -340525*y - 340515*y - 340518*y - 8 + 1021567*y.
9*y - 8
Collect the terms in -141 - 95*x**2 - 2*x - 8 + 96*x**2 - 88.
x**2 - 2*x - 237
Collect the terms in -3391*l + 1638*l + 1831*l.
78*l
Collect the terms in 27 - 76 + 1198 - f - 395 + 1345 + 627.
-f + 2726
Collect the terms in -54*v**2 + 1063962478 - 1063962478.
-54*v**2
Collect the terms in 86604*o**2 + 230178*o**2 + 585679*o**2 - 126574*o**2.
775887*o**2
Collect the terms in -13 - 4*h - 2*h - 25 - 10*h + 24*h - h.
7*h - 38
Collect the terms in -2599598*u - 137 + 137.
-2599598*u
Collect the terms in a + 2468*a**2 - a + 9094*a**3 - 9093*a**3.
a**3 + 2468*a**2
Collect the terms in -3391 - 1933 + 10852 - r.
-r + 5528
Collect the terms in -1053223 - 736*o**2 + 1053223 + 5314*o**2.
4578*o**2
Collect the terms in -6 + 6*s**2 + 34538*s - 15 + 16 - 34538*s + 5.
6*s**2
Collect the terms in -10394 + 5218 - 631*c + 5176.
-631*c
Collect the terms in -23317*w**3 + 46492*w**3 - 23169*w**3.
6*w**3
Collect the terms in -126*v**2 + 8*v**2 + 28*v**2 + 5*v**2 + 34*v**2 - 8*v**2.
-59*v**2
Collect the terms in -125*w**2 + 5*w**3 + 125*w**2 - 56*w + 118*w.
5*w**3 + 62*w
Collect the terms in -95*u**3 + 86 + 4532*u + 83 - 169 - 4532*u.
-95*u**3
Collect the terms in -210*x - 386*x + 600*x - 357*x - 133*x.
-486*x
Collect the terms in -1285*a - 1307*a - 1284*a + 2 + 4003*a.
127*a + 2
Collect the terms in 459*x + 529*x - 310*x + 1400*x.
2078*x
Collect the terms in 74*q**3 - 19 - 96 + 115 - 404*q**3.
-330*q**3
Collect the terms in -3*a + 12*a + 311*a**3 - 6*a - 3*a - 383*a**3.
-72*a**3
Collect the terms in 2 + 794*j**3 - 2 - 747*j + 327*j + 420*j.
794*j**3
Collect the terms in -272073*o**2 + 132297 + 272082*o**2 - 132297.
9*o**2
Collect the terms in -7568*q**2 + 6*q**3 + 15139*q**2 - 141*q**3 - 7571*q**2.
-135*q**3
Collect the terms in 1 + 30*f - 155*f + 35*f + 11*f + 40*f + 31*f - 6.
-8*f - 5
Collect the terms in 40*p**2 - 5*p + 2790657 - 2790657.
40*p**2 - 5*p
Collect the terms in -735*z - 819*z + 3953*z - 798*z - 806*z - 802*z.
-7*z
Collect the terms in 9*m + 19*m + 6*m**3 + 15*m**3 - 30*m**3 + 13*m**3 - 28*m.
4*m**3
Collect the terms in -992*a**3 + 18 + 26 - 44 + 9828*a**3.
8836*a**3
Collect the terms in -6*o + 2086*o**3 + 2091*o**3 + 2081*o**3 + 2090*o**3 - 8352*o**3 - 41*o**2.
-4*o**3 - 41*o**2 - 6*o
Collect the terms in 28*c - c**2 + 320*c - 350*c + c**2 + 24 - 32*c**3.
-32*c**3 - 2*c + 24
Collect the terms in 4 + 29*a + 3 + 0*a - 6*a + 0*a.
23*a + 7
Collect the terms in -3024 + 89*k + 998 + 801 + 977.
89*k - 248
Collect the terms in 275853*t**3 - 138119*t**3 - 137897*t**3.
-163*t**3
Collect the terms in -114956086 - 32*u + 114956086.
-32*u
Collect the terms in -162 - 23 - 29 - 255*o - 36 + 250.
-255*o
Collect the terms in -18 + 39*d + 14 + 6*d + 10*d + 8.
55*d + 4
Collect the terms in 230*t**2 + 13*t - 18*t + t + 3*t.
230*t**2 - t
Collect the terms in 66*d**2 + 2508*d - 84*d**2 + 34*d**2 - 2508*d.
16*d**2
Collect the terms in 271*i - 149*i - 58*i - 178*i - 54*i.
-168*i
Collect the terms in 5*w**3 - 73 - 47*w - 27 + 5*w**3 + 14.
10*w**3 - 47*w - 86
Collect the terms in 868*t**2 - 1438*t**2 - 5058*t**2 - 1298*t**2 + 358*t**2.
-6568*t**2
Collect the terms in -3134*j - 3132*j - 3140*j + 0 + 9404*j - 5.
-2*j - 5
Collect the terms in 338*q + 327*q - 7*q**2 + 120*q - 785*q.
-7*q**2
Collect the terms in -1 + 34*s**2 + 36*s**2 - 76*s**2 + 12302*s.
-6*s**2 + 12302*s - 1
Collect the terms in -737044 - 737042 - 69*v + 1474084.
-69*v - 2
Collect the terms in -85038 + 42503 + 42502 + 2*w - 4*w + w + 0*w.
-w - 33
Collect the terms in 5265 - 15767 + 5246 + h + 5255.
h - 1
Collect the terms in 2*r**3 - 431*r + 117*r**2
|
{
"pile_set_name": "DM Mathematics"
}
|
y(d). What is the third derivative of j(u) wrt u?
-4200
Let h(b) = -5*b**2 + 1. Let k(t) = 52*t**3 - 15*t**2 + 56. Let a(r) = -12*h(r) + 4*k(r). Differentiate a(c) with respect to c.
624*c**2
Let w(t) = -14*t + 116. Let o be w(8). What is the second derivative of 32*f**o - 25*f - 53*f - 6*f wrt f?
384*f**2
Let x(q) = 3270*q**2 + 43*q - 2264. Let b(p) = 6541*p**2 + 92*p - 4529. Let i(f) = -7*b(f) + 15*x(f). Find the second derivative of i(g) wrt g.
6526
Let o(h) = -11*h - 400. Let l be o(-37). Find the third derivative of -17*r**5 + r**2 + 5*r**5 + 217*r**2 - l*r**5 wrt r.
-1140*r**2
Let p(t) be the first derivative of -t**5/5 + 225*t**4/4 - 4084*t**3/3 - 1537. Find the third derivative of p(u) wrt u.
-24*u + 1350
Let l(i) = -i**3 - i**2 - i - 1. Let c(x) = -254*x**4 + 3*x**3 + x**2 + 1583*x + 1. Let d(q) = c(q) + l(q). What is the second derivative of d(n) wrt n?
-3048*n**2 + 12*n
Let d(h) be the second derivative of -9*h - 8 - 77/6*h**3 + 0*h**2 + 22/3*h**4. What is the second derivative of d(u) wrt u?
176
Let y = -896 - -898. Find the third derivative of -28 + 53 + 250*m**y - 10*m**6 + 2*m**3 - 25 wrt m.
-1200*m**3 + 12
Let d = -475 - -478. Differentiate 214*a - 28 - 128*a - d - 14 + 7 wrt a.
86
Let n(t) be the first derivative of 1671*t**5/5 + 1024*t + 2191. Differentiate n(o) wrt o.
6684*o**3
Let l(w) = -w**3 - 44*w**2 - 2*w - 38. Let j be l(-44). Find the third derivative of -50*c**3 + 223*c**5 + j*c**3 + 61*c**2 + 36*c**2 wrt c.
13380*c**2
Let j(g) = 516*g**6 - 3*g**4 + 4*g**2 - 3*g - 1. Let w(h) = h**4 - 2*h**2 + h. Let i(u) = -j(u) - 3*w(u). Find the third derivative of i(p) wrt p.
-61920*p**3
Suppose 3*y = -3*y - 48. Let r = y - -24. What is the third derivative of -4*s**6 - 2*s**6 - r*s**2 + 9*s**6 wrt s?
360*s**3
Let m(v) = 15102*v**3 - 7757*v**2 - 258*v - 3. Let q(k) = k**3 + k**2 + 86*k + 1. Let g(f) = -m(f) - 3*q(f). What is the third derivative of g(j) wrt j?
-90630
Let q(w) be the third derivative of 361*w**6/12 - 2108*w**3/3 - 4*w**2 + 208. Differentiate q(r) wrt r.
10830*r**2
Let g(a) = -40*a - 40. Let h be g(-4). Differentiate -318 + h*b + 129 + 135 with respect to b.
120
What is the third derivative of 644*n**2 + 644*n**3 - 792*n - 1 - 787*n + 1579*n wrt n?
3864
Let b(g) = -2*g**2 + 19*g + 3. Let s be b(9). Find the first derivative of -10 + 31 + 136*w + 0 + 44 + s wrt w.
136
Let s be (-40)/(-12)*126/35. Differentiate 160 + 23*f**4 + 88 + s*f**4 - 79 with respect to f.
140*f**3
Let m(c) be the second derivative of -198*c**5/5 - 383*c**3 + 2*c - 142. Find the second derivative of m(t) wrt t.
-4752*t
Let y(x) = -303*x - 325. Let g(w) = -11*w - 10. Let c(o) = -8*o - 7. Let u(h) = 4*c(h) - 3*g(h). Let b(p) = -u(p) - y(p). Differentiate b(a) with respect to a.
302
What is the third derivative of 844*u**2 + 2410*u**4 - 801*u**2 - 25 - 29*u**3 + 29*u**3 wrt u?
57840*u
Find the first derivative of -400*u + 1748*u + 1152*u - 240 wrt u.
2500
Let g(m) be the second derivative of 151/28*m**8 + 0*m**2 + 0 + 151/6*m**4 + 0*m**7 + 73*m + 0*m**5 + 0*m**6 + 0*m**3. Find the third derivative of g(y) wrt y.
36240*y**3
Let p(t) be the first derivative of 0*t**4 - 155/2*t**2 - 2/3*t**3 + 6/5*t**5 + 0*t + 2/3*t**6 - 115. What is the third derivative of p(i) wrt i?
240*i**2 + 144*i
Let w(o) be the third derivative of 154*o**2 - 19/70*o**7 + 0*o**3 + 0*o**4 + 0*o**6 - 41/60*o**5 + 0 + 0*o. Find the third derivative of w(s) wrt s.
-1368*s
Let a(i) be the first derivative of 0*i + 0*i**4 + 0*i**2 - 1/6*i**6 + 27/5*i**5 + 109/3*i**3 - 140. What is the third derivative of a(l) wrt l?
-60*l**2 + 648*l
What is the second derivative of 3913*s**2 - 6391*s**2 - 2918*s**2 + 5939*s wrt s?
-10792
Let x = -31 - -36. Suppose -2*t = x*t. What is the second derivative of t*y**3 - 2*y + 5*y - 16*y**3 wrt y?
-96*y
Let r = 5034 - 5030. Let k(u) be the second derivative of -10*u**2 + 0 - 17*u + 0*u**r + 0*u**3 + 1/10*u**5. Find the first derivative of k(x) wrt x.
6*x**2
Suppose -241 = -6*a - 127. Differentiate a - 13 + 7*y + 57 + 2*y with respect to y.
9
Differentiate 990*v**4 - 411 + 17*v**2 - 39*v**2 - 1075*v**4 - 4*v**3 + 4*v**3 wrt v.
-340*v**3 - 44*v
Let c(r) be the first derivative of -417*r**4/4 - 10*r**3/3 - 13*r - 308. What is the third derivative of c(i) wrt i?
-2502
Find the third derivative of 4511*w**6 - w - 12693*w**2 - 3*w**3 + 5*w**3 - 2668*w**6 + w wrt w.
221160*w**3 + 12
Let u(l) be the first derivative of 26*l**5/5 - l**3/3 + 1363*l**2 - 1597. Find the second derivative of u(q) wrt q.
312*q**2 - 2
Let i = -45 - -43. Let r(c) = -92*c**2 - 147*c - 5. Let t(x) = 46*x**2 + 74*x + 2. Let d(b) = i*r(b) - 5*t(b). What is the second derivative of d(f) wrt f?
-92
Let t be 1*-1*(0 + 0). Suppose t = -135*u + 130*u. What is the first derivative of -10*z**3 + u + 20*z**3 + 1 wrt z?
30*z**2
Let d = 7672 + -7672. Let o(w) be the second derivative of -17/6*w**3 - 22*w + 0 + 0*w**2 + d*w**4 + 7/20*w**5. Find the second derivative of o(m) wrt m.
42*m
Let j(z) be the second derivative of -1151*z**4/6 - 1115*z**2 + 678*z. What is the first derivative of j(i) wrt i?
-4604*i
Let k(t) = 2*t**4 + 45*t**3 + 8*t**2 + 18268*t. Let m(w) = -15*w**3 - 3*w**2 - 6089*w. Let o(g) = -4*k(g) - 11*m(g). Find the second derivative of o(r) wrt r.
-96*r**2 - 90*r + 2
What is the third derivative of -4*d**2 + 79 - d**2 + 476*d**3 - 109 - 141 wrt d?
2856
Let r(u) be the first derivative of -45*u + 7 - 1/2*u**2 + 13/3*u**3. Find the second derivative of r(n) wrt n.
26
Let q(f) be the second derivative of f**6/10 - 951*f**5/20 - f**3/3 + 1456*f**2 + 678*f. Find the second derivative of q(n) wrt n.
36*n**2 - 5706*n
Let i(h) = -728*h**3 + 7*h**2 + 11*h - 2023. Let u(w) = -365*w**3 + 3*w**2 + 6*w - 1009. Let b(a) = 3*i(a) - 7*u(a). Differentiate b(r) with respect to r.
1113*r**2 - 9
Suppose -15*d = -33 - 12. Find the third derivative of -44*c**2 + 11*c**6 + 52*c**2 - 5*c**6 - 3*c**d + 4*c**6 wrt c.
1200*c**3 - 18
Let m(y) be the first derivative of -1870*y**2 - 84*y - 2484. Differentiate m(h) with respect to h.
-3740
Let s(w) be the first derivative of -1363*w**5/5 + w**3/3 + 1603*w**2 - 1091. What is the second derivative of s(m) wrt m?
-16356*m**2 + 2
Find the second derivative of 71 + 17*q + 152 - 535*q**2 - 19 - 72 wrt q.
-1070
Let n(f) be the third derivative of f**8/4 - f**6/60 + 64*f**4/3 + 1400*f**2. What is the second derivative of n(u) wrt u?
1680*u**3 - 12*u
Let j be 3 - 45/(30 - 15). Let y(b) be the first derivative of 17 - 6*b**2 + j*b - 10/3*b**3. Find the second derivative of y(d) wrt d.
-20
What is the second derivative of 9*x - x**4 - 21 - 137*x**3 + 12*x + 17*x + x**2 - 20*x wrt x?
-12*x**2 - 822*x + 2
What is the derivative of -24*d**4 - 24*d**3 - 25*d**4 - 973 + 58*d**4 - 6*d**4 wrt d?
12*d**3 - 72*d**2
Suppose 17*i - 56 = 3*i. Suppose -i*v + 12*v = 760. Find the third derivative of -37*h**5 + v*h - 95*h - 47*h**2 wrt h.
-2220*h**2
Let v(d) = -76*d + 38*d + 65*d - 92. Let q(y) = -57*y + 185. Let l(f) = 6*q(f) + 11*v(f). Differentiate l(u) with respect to u.
-45
Differentiate -7084 - 664*h**2 + 7460 - 612*h**2 wrt h.
-2552*h
Let z be 1/3 + (-72)/(-27). Suppose 4*y - 16 = 0, -2*y = z*p - 5*y + 6. Find the third derivative of 7*w**2 - 14*w**5 + 7*w**2 + 0*w**p wrt w.
-840*w**2
Find the second derivative of 411*k**5 - 143*k + 160*k**5 - 2 + 355*k - 9*k - 4 wrt k.
11420*k**3
Let k(p) be the second derivative of 5 + 2*p - 11*p**2 + 65/3*p**3. What is the first derivative of k(g) wrt g?
130
Let x(d) be the third derivative of 0*d + 0*d**5 + 227/6*d**3 - 47/70*d**7 + 0*d**4 + 0 - 275*d**2 + 0*d**6. What is the first derivative of x(b) wrt b?
-564*b**3
What is the second derivative of -8*d**3 + 24951*d + 1897*d**5 + 6 - 24920*d + 8*d**3 + 850*d**5 wrt d?
54940*d**3
What is the derivative of 1158 + 608*m**3 + 904*m**3 + 271 wrt m?
4536*m**2
Let a(t) be the second derivative of 0*t**2 - 1/6*t**4 + 0 - 13/4*t**5 + 50*t + 10/3*t**3. Find the third derivative of a(n) wrt n.
-390
Let o = -17 - -20. What is the third derivative of -3*c**2 - 114*c**3 - 3 - 124*c**o - 10*c**2 + 251*c**3 + 12*c**4 - 4 wrt c?
288*c + 78
Let s(p) be the third derivative of -p**5/15 - 767*p**4/24 + 1425*p**3/2 + 1142*p**2. What is the first derivative of s(b) wrt b?
-8*b - 767
Let g(m) be the second derivat
|
{
"pile_set_name": "DM Mathematics"
}
|
-5022*z**5
Expand (30 - 11 + 13)*(2 - 2*j - 2) + (-j - j + 4*j)*(5 + 2 - 4) + (-6 + 2 - 5)*(j - 2*j + 3*j) - 3*j - 2*j + 4*j.
-77*j
Expand -q**3 + 3*q**5 + q**3 + (-q**5 - 2*q**5 + 4*q**5)*(-3 + 0 + 4) + 0*q**5 - 6*q**5 + 3*q**5 + (0 + 8 - 2)*(682*q**2 + 232*q**5 - 682*q**2).
1393*q**5
Expand -l**4 + 3*l**4 - l**4 - 60*l**4 - 732*l**3 + 732*l**3 + (-3*l - l + 3*l)*(l**2 - l**2 + 3*l**3).
-62*l**4
Expand -131*p**5 + 275*p**4 - 275*p**4 + (-9*p**2 + 15*p**2 - 14*p**2)*(p**3 - 3*p**3 + p**3) + p**5 - 4*p + 4*p.
-122*p**5
Expand (13 + 12 + 33)*(628*x - 628*x - 53*x**3) - x**3 + 5*x**3 - 2*x**3 + (-2 + 0 + 1)*(5*x**3 - 2*x**3 - 5*x**3) + 3*x - 3*x - x**3 - x**3 + 0*x + 0*x.
-3072*x**3
Expand (2 + 3*f - 2)*(0 + 2 - 1) - 2778*f + 4076*f + 4151*f.
5452*f
Expand (26*t + 1 - 56*t + 23*t)*(t**4 - 3*t**4 + t**4 + (4*t - 4*t - t**3)*(-3 - 2*t + 3) - t**3 + t**3 + 2*t**4 - 2*t + 2*t + t**4 - 3*t**4 - t**4 + t**4).
-7*t**5 + t**4
Expand (-944*j**4 + 3*j**3 - 135*j**3 + 951*j**4)*(6*j - j - j).
28*j**5 - 528*j**4
Expand (-3*j**3 + j**2 - j**2)*(2 - 1 - 4) + 21*j**3 - 7*j**3 + 91*j**3.
114*j**3
Expand 3964*w - 1484*w - 1514*w + (-4*w + 3*w + 2*w)*(-2 + 0 + 3).
967*w
Expand 2*s**5 + 3*s**5 - 3*s**5 + 3*s**5 + 12*s**5 - 5*s**5 + (-s**4 + 4*s**4 - 2*s**4)*(-5*s - 8*s - 2*s) + 3*s**5 - 3*s**5 - 5*s**5.
-8*s**5
Expand (-7*s**3 + 2*s**3 - s**3)*(39*s + 51*s - 3*s + 21*s).
-648*s**4
Expand 0*f**2 + f**2 + f**2 + 88*f**2 - 42*f**2 - 66*f**2 + 0*f**2 + 3*f**2 - 2*f**2 + (3 + 4*f**2 - 3)*(1 - 1 - 3).
-29*f**2
Expand -4*x**2 + 2*x**2 + 0*x**2 - x - x**2 + x + (5*x - 3*x - 4*x)*(2*x + 2*x - 3*x) + 1 + 2*x**2 - 1 + 311*x**2 - 28*x**2 - 101*x**2.
179*x**2
Expand 126 + 269 - 1102*l + 1109*l - 43 + 302 + 2 - 2 - 3*l + (0*l - 5*l + 4*l)*(-5 + 3 + 3).
3*l + 654
Expand ((3 - 7 + 3)*(1 - 3 + 1) + 2 + 4 - 3 + 19 - 22 - 93 + 4 - 1 - 2)*(-22*f - 12*f - 13*f + 2*f + 2*f - 6*f + (-3*f + 0*f + 5*f)*(-3 + 5 + 0)).
4095*f
Expand (q - 2*q**3 - q)*(3*q**2 - 2*q**2 + q**2) - 2*q**5 + 2*q**5 + q**5 + (5*q**2 - q**2 - q**2)*(-3*q**2 + 23*q**3 + 1 - 4*q**2 + 5*q**2).
66*q**5 - 6*q**4 + 3*q**2
Expand 5*g**5 + 3*g**5 - 4*g**5 + 5*g**5 - g**5 - g**5 + (2*g**3 - 3*g**2 + 3*g**2)*(2*g**2 + 0*g**2 - 4*g**2) + 2*g**5 - 51*g**4 - 119*g**4 + 0*g**5.
5*g**5 - 170*g**4
Expand (15944 + 1373*k - 15944)*(-k + 0*k + 3*k) + (1 - 7 + 4)*(-k**2 - k + k).
2748*k**2
Expand (t + 0*t + 0*t)*(-505*t - 398*t - 283*t + 294*t).
-892*t**2
Expand (1 - 1 + 2*z**2)*(979 - 349 - 451) + (-z - 2*z + 4*z)*(z + 1 - 1).
359*z**2
Expand (0 - 2 + 0 + (3 - 4 + 2)*(-6 + 0 + 1) - 349 + 112 - 31)*(-f**3 + 4*f**2 - 4*f**2).
275*f**3
Expand (-9849*m**2 - 1060*m**2 - 13241*m**2 + 3462*m**2)*(5 - 5 + m**2).
-20688*m**4
Expand (2903*j + 1484*j + 38 - 36)*(-7*j + 6*j + 0*j).
-4387*j**2 - 2*j
Expand (0*z - z - z)*(4 + 0 - 2) + (-3 + 0 + 2)*(4519*z - 35022 + 35022).
-4523*z
Expand 748*p**2 - 1507*p**2 + 757*p**2 + 37 + 3 - 3 - 4*p**2 + (-6*p + 2*p + 2*p)*(5*p - 3*p + p).
-12*p**2 + 37
Expand (1 + 2 + 0)*(-5*t + 5*t + t + (-2 - 3*t + 2)*(-4 - 1 + 2) + 5 - 5 + t + 2*t - t - 3*t).
27*t
Expand 5 - 5 + 4*q + (-2*q + 4*q - 4*q)*((3 - 5 + 4)*(0 + 0 - 1) - 1 + 0 - 1)*(1 - 1 + 1)*(2 - 4 + 3)*(2 - 3 + 2).
12*q
Expand (-16*s**3 - s**3 - 12*s**3)*(0*s**2 - 2*s**2 + 4*s**2) + (s - s - 6*s**2)*(-2*s + 0*s + 0*s)*((-s - 2*s + 2*s)*(-1 + 1 - 2*s) + 8*s**2 - 4*s + 4*s).
62*s**5
Expand 138*s**2 - 63*s**2 + 100*s**2 + (2 - 2 - 5)*(4*s**2 + 4*s - 4*s).
155*s**2
Expand (-839*n - 257*n + 608*n**3 - 607*n**3)*(-3 - 5 + 4)*(-2*n**2 - 2*n**2 + 2*n**2).
8*n**5 - 8768*n**3
Expand (-20 + 20 + 2*t)*(2 + 2 - 6)*(-20 + 603*t + 26 - 6).
-2412*t**2
Expand -176 + 36*q + 176 + (3 + 2 - 3)*(-3 + 2*q + 3) - 5*q - 12*q + 48*q.
71*q
Expand (-6*g + 3*g + g)*(-31388 + 31388 - 1850*g)*(0 + 1 - 3).
-7400*g**2
Expand (-21 + 10*v + 4*v - 12*v)*(2 - 2 - 3*v**2).
-6*v**3 + 63*v**2
Expand (1 - 20*c**3 - 3*c**3 + 7*c**3)*(-11 + 368 + 119 + 76).
-8832*c**3 + 552
Expand (-8*y + 24*y + 2 - 18*y)*(-571 - 397 - 394 + 492).
1740*y - 1740
Expand (2*x**2 + 2*x**2 - x**2)*(-2*x**2 + 2*x**2 + x**3) + 4 + 2*x**5 - 4 + 13*x**5 - 6*x**5 + 0*x**5 + 8*x**5 - 7*x**5 - 36*x**5.
-23*x**5
Expand (0*w + 0*w + 2*w**2)*(2*w + 5*w - 6*w) - w**3 - 1 + 1 + 5*w**3 + w**3 - 3*w**3 + 21812*w - 21812*w - 12 - 64*w**3.
-60*w**3 - 12
Expand (4*m**3 - 41*m**4 - 4*m**3)*(36 - 12 + 66)*(1 + 0 - 3).
7380*m**4
Expand 120*a + 279*a - 91*a + ((0 - 1 - 1)*(1 - 5 + 2) - 2 + 1 + 4)*(-3*a + 33 - 33).
287*a
Expand (23*g**2 + 2*g**2 + 7*g**2)*(-8*g**2 + 6*g**2 - 28*g + 13*g**2).
352*g**4 - 896*g**3
Expand (-105*c + 37*c + 4*c**2 + 28*c)*(82 - 26*c - 82).
-104*c**3 + 1040*c**2
Expand (-b + 3*b - b)*(-3*b**2 + 6*b**2 - 4*b**2) - 3*b**3 + 2*b**3 - b**3 + 5*b**3 + b**3 - 5*b**3 + (-3*b**2 + 3*b**2 - b**3)*(-108 - 140 - 59).
305*b**3
Expand (2*y + 3 - 3)*(-43 - 21*y + 43)*(3*y**3 + 6*y**3 - 2*y**3)*(2 - 1 + 0).
-294*y**5
Expand (-y + 2*y - 2*y)*(-2 + 2 + 4) + (-1 + 2 + 2)*(16*y - y - 40*y).
-79*y
Expand (-27 - 1 - 8)*(20*o + 58*o - 17*o).
-2196*o
Expand (1 - 1 - x)*(-x**2 + 2*x - 2*x) + (-2*x**3 + x**3 + 2*x**3)*(-4697 - 1788 + 572).
-5912*x**3
Expand (96 - 96 + 6*z**4)*(5*z + 2 - 2 + (-z + 0*z + 2*z)*(-4 + 6 - 1) + 0*z + 3*z - 5*z + z + z - z)*(-3 + 1 + 4).
60*z**5
Expand 1 - 1 - o**3 + (3 + o - 3)*(9 - 9 + 6*o)*(96*o + 48*o - 88*o).
335*o**3
Expand (6*c**3 + c**3 - 4*c**3)*(-3*c**2 + 5*c**2 - 3*c**2) + 43*c + 26*c**5 - 43*c.
23*c**5
Expand (p - p - 2*p**3)*(0*p - 5*p + p)*(-2 - 4 + 4)*(4 + 0 + 0) - 485*p - p**4 + 485*p - 4*p**3.
-65*p**4 - 4*p**3
Expand (0*v + v - 9*v)*(407*v - 207*v - 266*v).
528*v**2
Expand (d**4 - 4*d**4 + 20*d**4)*(-1 + 0 - 4) + 5*d**4 + d - d + d**2 + 3*d**4 - 2 + 2.
-77*d**4 + d**2
Expand 2*q + 2*q**3 - 2*q + (-3*q**2 + 990*q - 29*q**3 + 41*q**3 - 979*q)*(2 - 1 + 1)*(2 + 4 - 4).
50*q**3 - 12*q**2 + 44*q
Expand (-44 - 67 - 5 + 4*t)*(14*t**2 + 0*t**2 - 2*t**2).
48*t**3 - 1392*t**2
Expand (17*d**2 - 40 + 40 + (-1 + 1 + 2*d)*(2*d - 3*d + 3*d) + 3*d**2 + 2*d**2 - 3*d**2)*(1 - 1 - d)*(1 - 5 + 3)*(-1 - 5 - 3)*(2 + 0 - 1).
-207*d**3
Expand (39*y + 10*y - 3*y)*(-15 + 141 - 13).
5198*y
Expand (-5 - 5 + 5)*(-1 + 2 + 19*g - 139858*g**2 + 139860*g**2).
-10*g**2 - 95*g - 5
Expand ((-z + 0*z - z)*(2*z - 4*z + 4*z) - z**2 - z**2 + z**2 - z**2 - 5*z**2 + 4*z**2)*(-536 + 0*z**3 - 781 - z**3).
7*z**5 + 9219*z**2
Expand (0 + 0 + q**3)*(-2*q - 2*q**2 + 2*q) - q**5 + q**2 - q**2 + 23*q**5 - 19*q**5 - 51*q**5.
-50*q**5
Expand (2 + 10*r + 3 - 4)*((r + 4*r - 7*r)*(1 + 0 + 1) + r + 6*r + r + (10 - 10 + 7*r)*(0 + 1 + 1)).
180*r**2 + 18*r
Expand (-2*k - 4*k + 3*k + (2*k - 3*k + 3*k)*(-4 + 3 + 2))*(-2*k + 6*k - 3*k + (5*k + 0*k - 3*k)*(3 + 2 - 6))*(-299*k - 348042 + 348042).
-299*k**3
Expand (24*z**2 - 55*z**2 - 3*z + 29*z**2)*(-1 + 5 - 1) + 4*z**2 - 2*z**2 + 0*z**2 + z**2 + 0*z**2 - 2*z**2.
-5*z**2 - 9*z
Expand (13*g - 24 + 4 + 0*g)*(-27*g + 9*g + 7*g).
-143*g**2 + 220*g
Expand 4*s**4 - 4*s**4 - 2*s**4 + (-18*s**2 + 18*s**2 - 23*s**3)*(-33*s - 124*s + 23*s).
3080*s**4
Expand (47 - 25*p**3 - 47)*(6*p + p - 6*p) + (-2*p + 5*p - 2*p)*(-p + p - 14*p**3).
-39*p**4
Expand -195*z**3 + 328*z**4 + 385*z**3 - 190*z**3 + z**4 + 3*z**4 - 3*z**4 + (z**2 + z - z)*(-4*z**2 - z**2 + 0*z**2).
324*z**4
Expand (-3 - 3 + 7)*(2*i - 2*i + 2*i) + 11721*i - 2850*i - 736*i.
8137*i
Expand (-1 - 1 + 5)*(33 - 27 + 79)*(4*d + 2*d - 4*d)*(2 + 0 - 10).
-4080*d
Expand 8 + 4*o + 7 - 2 + 0*o - 2*o + 5*o - 6*o - 20*o - 6*o - 6*o + 0*o + 4*o + (-3 + 0 + 2)*(-2*o + 2*o + o) - o + 2 - 2 - 2*o + 1 - 1 - 2*o + 6*o - 2*o.
-29*o + 13
Expand ((-3 - 2*v + 3)*(-v + v + v) + (0 + 0 - 1)*(-3*v**2 + 3*v**2 + v**2))*(9434 + 118*v**2 - 9434).
-354*v**4
Expand (-14 + 5 - 4)*(i**5 - 3*i**5 + 3*i**5) + i**4 + 23*i**5 - 2*i**4 + 2*i**4.
10*i**5 + i**4
Expand (2*u - 2*u - 4*u**2)*(16 + u - 16) + (0 - 1 + 4)*(-37 + 37 + 55*u**3).
161*u**3
Expand (2*j + j + j)*(1415 + 2783 - 121 + 218 - 132 + 936).
20396*j
Expand (-10 + 10 + 6*h)*(381 - 753 + 302).
-420*h
Expand (-19*j + 19*j - 12*j**2)*(j**3 - 3*j**3 + j**3 + (3*j**2 - 3*j**2 + j**2)*(-4 + 4 + 2*j) + 27*j**2 - 9*j**3 - 27*j**2).
96*j**5
Expand (1 + d**2 - 1)*(-13462 + 639*d + 13462) + (-5*d - 6 + 6)*(3*d - 3*d + d**2) - 4*d + 4*d - d**3.
633*d**3
Expand (3*h - h - 6*h)*(0*h**4 + 3*h**4 - 4*h**4) + 7*h**3 - 3*h**2 - 5*h**2 + 2*h**5 - 21*h**2
|
{
"pile_set_name": "DM Mathematics"
}
|
28 a factor of 112685912?
False
Is 14341468 a multiple of 1298?
False
Is 10423 a factor of 5109365023?
True
Is 594 a factor of 75598974?
True
Is 365 a factor of 19993969?
False
Does 18902 divide 3920906179?
False
Does 158 divide 439604032?
True
Does 90 divide 105911550?
True
Does 174 divide 3020546?
False
Is 11 a factor of 16598322?
False
Is 997 a factor of 2030112871?
False
Is 227 a factor of 1278718240?
True
Is 3076791327 a multiple of 984?
False
Does 3408 divide 1486432884?
False
Is 53736023 a multiple of 4?
False
Does 39 divide 8443266?
True
Does 52 divide 1231618462?
False
Is 36096959 a multiple of 127?
False
Is 5 a factor of 288582920?
True
Is 63796270 a multiple of 881?
False
Is 996 a factor of 131295708?
True
Is 936 a factor of 466829064?
True
Is 5792238 a multiple of 249?
True
Is 1690 a factor of 602034052?
False
Does 2 divide 779075?
False
Is 5 a factor of 126382685?
True
Does 77 divide 3247097046?
False
Is 6 a factor of 549070908?
True
Is 4 a factor of 58760342?
False
Is 15526631 a multiple of 1080?
False
Is 13 a factor of 1165884714?
False
Does 950 divide 39423100?
True
Does 36 divide 104998680?
True
Is 2273 a factor of 7998687?
True
Is 2125605744 a multiple of 153?
True
Is 410 a factor of 733331408?
False
Is 27212224 a multiple of 64?
True
Is 16 a factor of 1419873504?
True
Is 110 a factor of 173348010?
True
Is 10799277 a multiple of 9?
False
Is 9 a factor of 632775951?
True
Is 292 a factor of 116944629?
False
Does 19 divide 71218747?
False
Is 976784994 a multiple of 134?
False
Does 681 divide 508082346?
False
Is 141 a factor of 37621562?
False
Is 480603566 a multiple of 50?
False
Is 3489498628 a multiple of 77?
True
Does 16 divide 420487216?
True
Is 271695135 a multiple of 501?
False
Does 3563 divide 301937815?
False
Is 32292755 a multiple of 1067?
True
Is 10994774 a multiple of 969?
False
Does 570 divide 2001032880?
True
Is 13 a factor of 63731869?
False
Is 6 a factor of 7431577?
False
Is 111600410 a multiple of 34?
True
Is 1224 a factor of 126916537?
False
Does 27 divide 96046965?
True
Is 346020705 a multiple of 14?
False
Does 2119 divide 141703017?
False
Is 63844384 a multiple of 544?
True
Is 6 a factor of 1132951866?
True
Is 2264541300 a multiple of 2100?
True
Does 5 divide 2392395?
True
Is 5293 a factor of 1947808121?
True
Does 8 divide 1034404327?
False
Is 3853365 a multiple of 5?
True
Is 85 a factor of 17092860?
False
Is 7 a factor of 15855379?
False
Does 118 divide 133487581?
False
Does 25 divide 3827100?
True
Is 1364 a factor of 101290640?
True
Is 27 a factor of 1016519213?
False
Does 221 divide 72743255?
True
Is 25468967 a multiple of 32?
False
Does 3430 divide 506113650?
True
Is 592372312 a multiple of 389?
True
Is 822436 a multiple of 4?
True
Does 5564 divide 1313076180?
True
Is 1745415744 a multiple of 4848?
True
Is 7830 a factor of 37451583?
False
Is 62941186 a multiple of 7?
True
Is 5802 a factor of 2610215364?
True
Is 5856886 a multiple of 334?
False
Does 18 divide 6862608?
True
Is 73388814 a multiple of 492?
False
Is 631446480 a multiple of 42?
True
Is 7 a factor of 295781177?
False
Is 1178 a factor of 484542082?
False
Does 1577 divide 258650078?
True
Is 734 a factor of 3998406280?
True
Is 34 a factor of 257814486?
True
Does 62 divide 1102349079?
False
Is 57688359 a multiple of 103?
False
Does 3411 divide 40834090?
False
Is 579401257 a multiple of 19?
True
Is 146605 a multiple of 9?
False
Is 291713640 a multiple of 60?
True
Is 5126583 a multiple of 29?
False
Is 73762432 a multiple of 664?
True
Is 180 a factor of 364819797?
False
Does 473 divide 228077797?
False
Is 30574381 a multiple of 29?
True
Does 6 divide 178360604?
False
Does 19 divide 12050237?
True
Is 126151576 a multiple of 409?
False
Is 3418 a factor of 94282840?
False
Is 21724730 a multiple of 301?
False
Is 34316550 a multiple of 45?
True
Does 378 divide 81033126?
False
Is 1643 a factor of 21500298?
True
Is 62 a factor of 25685050?
True
Does 1006 divide 472533290?
True
Is 30 a factor of 4943760?
True
Is 647 a factor of 32045301?
False
Is 9 a factor of 44345628?
True
Is 1123785552 a multiple of 38?
True
Is 61 a factor of 3340848?
True
Is 483532014 a multiple of 827?
True
Is 530646840 a multiple of 17?
True
Is 2462 a factor of 6028539370?
True
Does 8195 divide 148903150?
True
Does 39 divide 559955409?
True
Does 7 divide 560589736?
True
Is 72787921 a multiple of 1108?
False
Is 581 a factor of 222301030?
False
Is 17 a factor of 426191707?
False
Is 6525908864 a multiple of 1411?
True
Does 274 divide 37376340?
True
Is 5 a factor of 10649158?
False
Is 41864504 a multiple of 2248?
True
Is 1165 a factor of 154916722?
False
Is 2548180659 a multiple of 5836?
False
Does 185 divide 2343567790?
True
Is 6917238 a multiple of 129?
True
Does 1056 divide 1235671336?
False
Is 47481066 a multiple of 38?
False
Is 52666304 a multiple of 164?
True
Is 26996029 a multiple of 331?
True
Is 90323248 a multiple of 2928?
False
Is 2913120 a multiple of 612?
True
Is 16609789 a multiple of 205?
False
Is 1389789597 a multiple of 777?
True
Is 5215 a factor of 509693240?
True
Is 23931444 a multiple of 204?
True
Does 16 divide 219838557?
False
Is 9205738 a multiple of 3709?
True
Is 18 a factor of 88547940?
True
Is 891 a factor of 1635182237?
False
Is 38 a factor of 2489641406?
False
Is 411 a factor of 7148231?
False
Does 68 divide 74934844?
True
Is 7186751 a multiple of 319?
True
Is 1775991842 a multiple of 9?
False
Is 11826942 a multiple of 393?
True
Does 170 divide 132622807?
False
Is 15162674 a multiple of 242?
False
Is 4134306 a multiple of 407?
True
Is 126302100 a multiple of 4332?
False
Is 75870090 a multiple of 1230?
True
Is 2329752348 a multiple of 451?
True
Does 14 divide 1039567522?
True
Is 486931434 a multiple of 22?
True
Is 41 a factor of 447966?
True
Does 65 divide 66496950?
True
Does 25 divide 3680568371?
False
Does 4 divide 332448092?
True
Is 7 a factor of 3794307?
False
Is 9 a factor of 1765917?
True
Does 18 divide 23261735?
False
Does 58 divide 4453759?
False
Does 5 divide 7042530?
True
Is 45828417 a multiple of 2229?
False
Is 25887804 a multiple of 1599?
False
Is 3 a factor of 599751902?
False
Is 692620127 a multiple of 5552?
False
Is 4216 a factor of 251534992?
True
Does 4 divide 6225888?
True
Is 486342280 a multiple of 3233?
False
Is 52 a factor of 130580450?
False
Is 29 a factor of 386828274?
True
Is 16914094 a multiple of 569?
True
Does 22 divide 255932622?
True
Is 1777962892 a multiple of 15?
False
Is 138968991 a multiple of 387?
True
Does 22 divide 123102169?
False
Does 4037 divide 154330473?
True
Is 670 a factor of 12709900?
True
Does 488 divide 334562670?
False
Does 8 divide 64917359?
False
Is 29725837 a multiple of 37?
True
Does 8593 divide 394990115?
False
Is 66771920 a multiple of 1360?
True
Is 2547 a factor of 170249121?
True
Is 507067 a multiple of 37?
False
Is 14512650 a multiple of 465?
True
Is 57308250 a multiple of 10?
True
Is 67651836 a multiple of 111?
True
Is 305 a factor of 2977403900?
True
Is 3062850645 a multiple of 3995?
True
Is 4 a factor of 206204012?
True
Does 123 divide 260946099?
True
Does 59 divide 932616717?
True
Does 403 divide 740458901?
True
Is 8 a factor of 461322536?
True
Does 478 divide 243108522?
False
Is 1405 a factor of 245723428?
False
Is 40 a factor of 2096621862?
False
Does 36 divide 100324728?
True
Is 219 a factor of 566898363?
True
Is 3 a factor of 58122090?
True
Is 8 a factor of 73426821?
False
Is 26 a factor of 522742090?
True
Does 1922 divide 154146322?
True
Is 298 a factor of 15655430?
True
Is 9415010 a multiple of 341?
True
Does 1430 divide 287460690?
False
Is 87 a factor of 12511232?
False
Is 774 a factor of 144771530?
False
Is 4370357264 a multiple of 1582?
True
Is 54 a factor of 35158319?
False
Does 10 divide 27904230?
True
Is 434961670 a multiple of 286?
True
Is 11 a factor of 6657156?
True
Is 698 a factor of 74447284?
True
Is 183 a factor of 8015400?
True
Is 4400320 a multiple of 32?
True
Does 6 divide 967376356?
False
Does 142 divide 663456447?
False
Is 89 a factor of 30713520?
False
Is 317213624 a multiple of 28?
True
Is 38369766 a multiple of 79?
False
Is 149 a factor of 6241707710?
False
Is 90 a factor of 100305859?
False
Does 98 divide 13894564?
False
Does 14 divide 10194810?
False
Does 974 divide 43807164?
|
{
"pile_set_name": "DM Mathematics"
}
|
alse
Is 31520045629 composite?
False
Is 2628227401 a composite number?
True
Is 81486359 a composite number?
False
Is 249736849 composite?
False
Is 1117588837 a prime number?
False
Is 10330627859 prime?
False
Is 52875635411 a prime number?
False
Is 112411753 composite?
False
Is 103804010327 composite?
True
Is 44895070583 composite?
True
Is 32001932021 a prime number?
True
Is 10279330273 a composite number?
False
Is 3786547 a prime number?
False
Is 82135151783 prime?
False
Is 28370381477 a composite number?
False
Is 31896022414 a composite number?
True
Is 7602998783 prime?
True
Is 3313520471 a prime number?
False
Is 153638153 a prime number?
False
Is 14967115687 prime?
True
Is 6272979953 prime?
False
Is 271098169 composite?
True
Is 138431515939 prime?
True
Is 805588891 prime?
False
Is 6276366209 composite?
True
Is 203755865813 composite?
False
Is 45417587521 prime?
False
Is 631255277 a prime number?
True
Is 914286433 prime?
True
Is 15771597623 composite?
False
Is 553123789 composite?
True
Is 341657773 composite?
True
Is 304867321001 a composite number?
False
Is 282590741 a prime number?
False
Is 687523454 prime?
False
Is 72372897409 prime?
True
Is 2802901037 prime?
True
Is 28996314047 composite?
True
Is 1479817099 prime?
True
Is 33790530119 composite?
False
Is 3611607205 prime?
False
Is 9136435411 a prime number?
True
Is 5928042167 prime?
True
Is 2432372431 prime?
True
Is 70493417 a prime number?
False
Is 12087208823 a composite number?
True
Is 18265422613 prime?
True
Is 15406666729 a prime number?
True
Is 10962443197 prime?
False
Is 3472423529 prime?
False
Is 6772908671 prime?
True
Is 21405376331 composite?
False
Is 8785563233 a prime number?
True
Is 1130706413 a composite number?
True
Is 555351082169 a prime number?
False
Is 3959070127 a composite number?
False
Is 1007547311 prime?
True
Is 5821322093 a prime number?
True
Is 521493251 composite?
False
Is 18071286734 composite?
True
Is 74150677 a composite number?
False
Is 934136611 prime?
False
Is 18093006673 composite?
True
Is 10802182861 a composite number?
False
Is 364666987 a composite number?
False
Is 336321233 a composite number?
False
Is 2646972547 a prime number?
True
Is 60820008109 prime?
False
Is 71445233567 a prime number?
False
Is 346334194 a composite number?
True
Is 319272923 prime?
True
Is 2253867349 a composite number?
True
Is 12402865493 prime?
False
Is 264174013 prime?
False
Is 2691165313 composite?
False
Is 2484931747 composite?
False
Is 4357271029 prime?
False
Is 2721269149 a composite number?
False
Is 349137557 prime?
True
Is 118193519 a prime number?
True
Is 878823833 composite?
False
Is 8233228307 a prime number?
False
Is 5159894849 prime?
True
Is 2618498633 composite?
False
Is 204118121 a prime number?
False
Is 8017405589 composite?
False
Is 248881973 prime?
False
Is 191269737863 a composite number?
False
Is 792374411 a prime number?
False
Is 3617173607 a composite number?
True
Is 28723434101 composite?
False
Is 11964679789 a prime number?
True
Is 11500421329 a composite number?
True
Is 19651378471 a prime number?
False
Is 1848124529 a composite number?
False
Is 170648207 a prime number?
True
Is 888729619 a composite number?
False
Is 1002012031 a prime number?
False
Is 16324574503 composite?
False
Is 45046583 prime?
False
Is 25590694297 composite?
True
Is 58904689 prime?
True
Is 45149156077 a prime number?
True
Is 242715347 composite?
True
Is 45971051549 prime?
True
Is 76512116771 a composite number?
False
Is 12863568301 prime?
False
Is 27362248607 a composite number?
True
Is 628766321 a composite number?
False
Is 14875001 a composite number?
False
Is 1414939027 a composite number?
True
Is 9883315157 a prime number?
True
Is 16886051111 a composite number?
False
Is 14961342293 a composite number?
True
Is 30847721221 prime?
False
Is 25238828101 prime?
True
Is 34546461997 prime?
True
Is 2145223699 a composite number?
True
Is 430819663 prime?
False
Is 323189179 a composite number?
False
Is 66445009 composite?
True
Is 162969901 composite?
False
Is 4691465719 a composite number?
True
Is 13117119101 prime?
False
Is 6400400491 a prime number?
True
Is 46003360007 a prime number?
False
Is 41492909 composite?
False
Is 5169179581 composite?
False
Is 509760857 a composite number?
True
Is 3886236479 a composite number?
False
Is 12635160899 prime?
True
Is 472888569227 a composite number?
False
Is 57959521293 prime?
False
Is 1074452083 composite?
True
Is 70761661 a composite number?
False
Is 60218218997 a composite number?
False
Is 9518417977 prime?
False
Is 7748831245 composite?
True
Is 34316380997 a composite number?
True
Is 189923950661 a prime number?
False
Is 7956949811 composite?
True
Is 2316151531 composite?
False
Is 2060435647 composite?
False
Is 71656059961 a prime number?
True
Is 50989536083 a prime number?
True
Is 5766915521 a prime number?
False
Is 730888283 a prime number?
False
Is 3618948719 prime?
True
Is 44750387729 a composite number?
True
Is 38542195661 composite?
False
Is 1397760809 composite?
False
Is 573866581 prime?
True
Is 566190617 prime?
True
Is 17532327983 prime?
True
Is 8281985665 composite?
True
Is 603584351 a composite number?
False
Is 156501343 a composite number?
True
Is 2742184153 composite?
False
Is 24143524667 a composite number?
False
Is 1522517459 prime?
True
Is 115973887 a composite number?
True
Is 4799845957 prime?
True
Is 21977254631 a prime number?
True
Is 234135987 a composite number?
True
Is 9720661579 prime?
True
Is 109400982553 prime?
False
Is 5086938977 composite?
True
Is 389039851 composite?
False
Is 8381441165 a prime number?
False
Is 592903261 a composite number?
True
Is 4141420681 prime?
False
Is 2095333711 composite?
False
Is 20388957709 a composite number?
True
Is 260121047 prime?
True
Is 1582277135 composite?
True
Is 487004201 a prime number?
False
Is 1015040009 composite?
True
Is 2095309331 a composite number?
False
Is 3546264409 prime?
True
Is 46450406887 a prime number?
True
Is 1004996207 a prime number?
True
Is 246942749 composite?
True
Is 217874927 a prime number?
False
Is 114333130321 prime?
False
Is 372351673 a composite number?
False
Is 3177296623 prime?
True
Is 20707359026 a composite number?
True
Is 1719356231 prime?
False
Is 4747958107 a composite number?
True
Is 28135318643 prime?
False
Is 13924480642 prime?
False
Is 17991070481 prime?
False
Is 718765109 prime?
True
Is 29138118749 a composite number?
False
Is 1176835937 prime?
True
Is 97026203 a prime number?
True
Is 25422219133 a composite number?
False
Is 23313641701 a composite number?
True
Is 92373133 a composite number?
False
Is 8528833301 a composite number?
False
Is 1135514543 prime?
False
Is 2147101529 a composite number?
True
Is 3238267733 a prime number?
True
Is 20566430437 a composite number?
True
Is 445932881 a prime number?
False
Is 6610592969 prime?
True
Is 17353628741 prime?
False
Is 4928757437 composite?
True
Is 13551916603 a prime number?
False
Is 127145189 a composite number?
False
Is 3898290343 a composite number?
False
Is 699536693 composite?
False
Is 20837220601 a prime number?
False
Is 15593762263 a prime number?
True
Is 65984779423 composite?
False
Is 4020625255 a composite number?
True
Is 9267098681 composite?
False
Is 454458373 a composite number?
True
Is 820425523 prime?
False
Is 1190844313 prime?
False
Is 966787439 a composite number?
False
Is 8314568749 a prime number?
True
Is 1191490901 a prime number?
False
Is 1124125183 a prime number?
True
Is 1376901077 composite?
True
Is 2155350331 composite?
True
Is 17028337 prime?
False
Is 2979316801 a prime number?
True
Is 235567471147 prime?
False
Is 3582783419 a prime number?
True
Is 33036951953 composite?
True
Is 38362164877 a composite number?
False
Is 24434775641 composite?
True
Is 362049679 a composite number?
True
Is 781130605 a composite number?
True
Is 296637061 a composite number?
True
Is 3542637617 prime?
True
Is 1488602515 a prime number?
False
Is 6987227059 prime?
True
Is 67861849 a prime number?
False
Is 5537774885 composite?
True
Is 16145491309 composite?
True
Is 10106241121 a prime number?
False
Is 35991430421 a prime number?
True
Is 3276217941 composite?
True
Is 144082653779 a composite number?
False
Is 1413920503 prime?
False
Is 782640769 prime?
True
Is 1532601359 a prime number?
Fa
|
{
"pile_set_name": "DM Mathematics"
}
|
*98.
0
Work out 5 * 10.
50
Multiply 0.4 and 23.
9.2
1521 * 2
3042
-2 * -12.61
25.22
Work out -276 * 1.
-276
-101.4 * 0.11
-11.154
0.1344*-0.7
-0.09408
-1*0.027
-0.027
Multiply 4 and 19.
76
Calculate 3*-0.54.
-1.62
What is -3.47 times 5?
-17.35
Multiply -26.14 and -5.
130.7
Multiply 172 and -0.12.
-20.64
Calculate -1*5.95.
-5.95
Product of 0.4 and 4.8.
1.92
-1445 * -1
1445
-0.5*-0.047
0.0235
What is -8 times 118?
-944
Multiply -5.4 and -4.2.
22.68
Calculate -0.01*-0.45.
0.0045
Product of -0.6 and 0.28.
-0.168
What is -30 times 1.2?
-36
What is the product of -27.1 and -0.5?
13.55
Calculate 3*-1.31.
-3.93
20619*-4
-82476
-0.3*101
-30.3
Product of 0.3 and 0.0831.
0.02493
0 * -0.34
0
0 times -526
0
-0.1*-0.315
0.0315
0*51
0
Work out 35 * 0.05.
1.75
Multiply 0.632 and 0.8.
0.5056
Work out 11.68 * 0.7.
8.176
Calculate 4*1.64.
6.56
-5.8 times -3.1
17.98
-0.16 * 0.79
-0.1264
3 * -0.084
-0.252
0.179*5
0.895
Product of 0.171 and 20.
3.42
Calculate 12.6*-22.
-277.2
What is -27 times -0.1?
2.7
Work out 0.0764 * -4.
-0.3056
75.9 * 0.2
15.18
82.4*-0.3
-24.72
Calculate -0.16*0.17.
-0.0272
0.05*38
1.9
Multiply 35 and 2.6.
91
What is the product of -46 and 0.03?
-1.38
Work out -9 * -1.24.
11.16
What is the product of -0.4 and 180?
-72
-4 * -64.6
258.4
Calculate -0.43*-0.63.
0.2709
44*0
0
-0.12 times -25
3
Work out 0.0843 * 1.
0.0843
Product of -19.51 and -0.1.
1.951
What is -4 times 4179?
-16716
Multiply -1 and 0.29.
-0.29
What is 0.4 times -0.0637?
-0.02548
0*-0.43
0
Calculate -548.6*0.
0
Calculate 0.807*-0.3.
-0.2421
What is the product of -0.1 and -0.1261?
0.01261
Multiply 3 and -239.
-717
0.5 times -0.537
-0.2685
-2979*3
-8937
69 * -0.03
-2.07
-17*-0.3
5.1
-64*-0.3
19.2
Calculate -718*0.3.
-215.4
Calculate -48*3.
-144
-0.022 times -0.1
0.0022
11*-0.485
-5.335
-0.1426 * -1
0.1426
1528 times -5
-7640
What is the product of 4 and 12?
48
-140 * 0.9
-126
Work out 6.9 * 0.64.
4.416
1180.7 * -4
-4722.8
1.4 times 592
828.8
-0.3 times -0.52
0.156
Calculate -0.0211*0.2.
-0.00422
Multiply -0.1 and -3.
0.3
0.3*0.4
0.12
Multiply -4.5 and 0.08.
-0.36
23.5 times 2
47
What is the product of 65.4 and 2?
130.8
What is the product of 0.5 and 0.0436?
0.0218
25.5 times 0.4
10.2
What is -6.8 times -4?
27.2
Product of -0.419 and -5.
2.095
What is -15 times -0.02?
0.3
-709.6 * -2
1419.2
Product of 0.05 and -12.
-0.6
What is the product of 15 and -32?
-480
What is the product of 0.0525 and 3.8?
0.1995
Calculate 0.1*119.
11.9
Calculate -0.3*536.
-160.8
What is the product of 244 and 2.9?
707.6
What is -5 times 0.007?
-0.035
-198*-11
2178
What is 5.37 times 0.2?
1.074
Work out 98 * -248.
-24304
Work out 4 * 0.0148.
0.0592
Work out -0.48 * 0.
0
Work out -0.356 * 36.
-12.816
Product of 0.9 and 0.2.
0.18
Product of -2 and -60.
120
Work out -11782 * 3.
-35346
Calculate -0.1*0.59.
-0.059
Work out -0.93 * -0.04.
0.0372
-217 * -0.3
65.1
What is the product of -1.752 and -0.2?
0.3504
Multiply -0.79 and -0.89.
0.7031
What is the product of 0.3 and 86.9?
26.07
Work out 106 * 5.7.
604.2
Work out 5 * -83.8.
-419
Work out -0.098 * 18.
-1.764
What is 1290 times -5?
-6450
Work out 0.4 * 29.8.
11.92
What is the product of 53 and 0.4?
21.2
What is the product of 14.1 and 0.15?
2.115
Product of 0.79 and 3.
2.37
Calculate 3*-6.97.
-20.91
What is -0.431 times -18?
7.758
Work out 2 * 57.
114
Product of 0.07 and -824.
-57.68
What is the product of -0.2 and -61?
12.2
Work out -0.2 * -231.
46.2
Calculate -0.448*6.
-2.688
Product of 3 and -6.
-18
Calculate -0.04*358.
-14.32
0.4*490.3
196.12
Calculate -3*-1.5.
4.5
What is the product of 0.5 and 0.33?
0.165
Multiply -12.5 and 0.2.
-2.5
-0.0923 * 7
-0.6461
Calculate -91*107.
-9737
Work out -0.05632 * 0.4.
-0.022528
Calculate -0.9*0.7.
-0.63
2734 times -3
-8202
Product of 0.2 and 57.85.
11.57
What is the product of 0 and -113?
0
-32 * 12
-384
Calculate -0.027*223.
-6.021
Work out 38 * -1.13.
-42.94
What is the product of 0.905 and 0.3?
0.2715
5*0.157
0.785
What is the product of 0.7602 and 0?
0
Work out 0.1541 * 2.
0.3082
Work out 2 * -0.036.
-0.072
Calculate -172.9*-1.
172.9
What is 2100 times -17?
-35700
What is the product of 0.3408 and 1?
0.3408
-73 * -4
292
What is the product of 0.3 and -1046?
-313.8
Multiply -1.9 and 13.
-24.7
What is the product of -1663 and 0.1?
-166.3
Work out 2.1 * 266.
558.6
Work out -161.7 * 0.
0
Work out -1 * -0.402.
0.402
0.3 times -38
-11.4
17 * -0.109
-1.853
-0.16 * -283
45.28
What is 419.2 times 0.03?
12.576
Multiply 69 and 182.
12558
Work out 88 * 0.
0
-176 * -0.1
17.6
Product of 489 and -4.3.
-2102.7
Multiply 0.5 and 7341.
3670.5
-4 * -569
2276
Multiply 30.23 and -0.4.
-12.092
Calculate -0.0353*5.
-0.1765
Multiply 0.5 and -6.8.
-3.4
Product of 4 and 0.092.
0.368
Work out -2 * -56.
112
Calculate 54*-0.2.
-10.8
-3 times 153
-459
1 * 0.1007
0.1007
42 * -136
-5712
Product of -0.9 and -0.8.
0.72
-0.08 times -22.23
1.7784
1.9 * 1415
2688.5
Work out -0.3064 * 0.4.
-0.12256
What is -0.3 times -1?
0.3
1077*0.3
323.1
Calculate 966*-4.
-3864
Calculate 243*0.
0
Calculate -0.34*-3.
1.02
Calculate -498*-0.4.
199.2
What is -8 times -0.29?
2.32
-0.396 * 11
-4.356
Calculate 559*-0.2.
-111.8
Work out 197 * -0.01.
-1.97
What is 0.5 times 24?
12
1.79 * -0.4
-0.716
Product of 94 and -0.12.
-11.28
Product of -35 and 0.16.
-5.6
What is the product of 30 and -12.6?
-378
Work out -6 * -0.7.
4.2
-27*-4
108
What is -26 times -7?
182
Work out 1 * 0.59.
0.59
Multiply -1459.1 and -0.3.
437.73
Calculate -3*-1080.
3240
What is -0.4 times 143?
-57.2
What is 4 times -3?
-12
Multiply 0.24 and -0.3.
-0.072
Multiply -2 and -0.006.
0.012
-0.09 * -0.04
0.0036
Product of -0.011736 and -0.2.
0.0023472
What is 0.115 times -1?
-0.115
Product of -230 and -3.
690
What is -332 times -47?
15604
6.6 * -3
-19.8
2*7147
14294
What is the product of -3.7 and -3?
11.1
What is the product of -0.5 and -370?
185
Work out -1 * 4.7.
-4.7
What is 16 times -0.16?
-2.56
Calculate -0.2*-19.3.
3.86
What is the product of -30 and 0.003?
-0.09
Calculate 0.08*-0.4.
-0.032
-18 times -0.098
1.764
-0.16 times -3
0.48
2*-5.2
-10.4
What is -10 times -24?
240
-214*0.04
-8.56
What is the product of 373 and 100?
37300
Calculate 101*-0.4.
-40.4
What is -3 times 173.5?
-520.5
What is the product of -5 and 942?
-4710
Calculate -4*27.23.
-108.92
767*-0.5
-383.5
129*-5
-645
Product of 2.6 and -72.
-187.2
Calculate -15*-0.278.
4.17
Calculate 2.71*-10.
-27.1
Product of -512 and 0.
0
Work out 0.152 * 5.
0.76
-0.3 * 45
-13.5
What is the product of 638 and 1?
638
Product of 0.04219 and 5.
0.21095
Work out 0.5 * -0.00326.
-0.00163
Multiply -37 and 486.
-17982
Multiply -192 and -0.06.
11.52
0.168 times 3
0.504
0.111 * 0
0
Calculate -688*-0.02.
13.76
Calculate -0.13*14.3.
-1.859
What is 0 times -20?
0
What is the product of 49 and 0.039?
1.911
Multiply -8 and -0.07.
0.56
Product of -17.96 and 0.2.
-3.592
What is the product of 0.09427 and -4?
-0.37708
-0.2004*2
-0.4008
Work out -5 * 0.067.
-0.335
-11 * 1.9
-20.9
-274 * -0.1
27.4
-10*-0.32
3.2
Multiply -107 and 3.
-321
Work out -430 * 5.
-2150
-4 times 3282
-13128
Work out -2496 * -3.
7488
What is 0.347 times 0?
0
Work out -125 * -1.
125
Calculate 3.649*0.
0
Work out 88 * 0.
0
Multiply 0 and 0.049.
0
What is the product of 0.8 and 2944?
2355.2
Calculate -274*-0.1.
27.4
What is the product of 0.48 and 0?
0
Multiply 7519 and 2.
15038
Multiply -5.3 and -9.
47.7
-0.3 times -68
20.4
Multiply 0.4 and 27.
10.8
What is the product of -125 and 9?
-1125
Calculate -136*15.
-2040
What is 0.4 times 6365?
2546
What is the product of -0.4 and 307.6?
-123.04
Work out -24.46 * 0.5.
-12.23
132 * 0.01
1.32
Multiply -0.054 and -23.5.
1.269
Product of 0.3 and -14.
-4.2
What is -0.026 times -8?
0.208
-61.88 times -0.4
24.752
1*77
77
-0.08 times -0.05
0.004
Work out 7 * 148.
1036
Calculate -2.1*-182.
382.2
-4 * -101
404
6 times 14.2
85.2
Calculate -0.123*-0.028.
0.003444
Calculate 0.1121*15.
1.6815
Product of -0.4 and -1913.
765.2
Calculate 149*-0.36.
-53.64
What is 450 times -0.2?
-90
What is 1.6 times 167?
267.2
1700 times -3
-5100
-6 times -38
228
Multiply 0.05 and 0.055.
0.00275
What is -33 times 2.7?
-89.1
-16*-30
480
What is the product of -0.037603 and -1?
0.037603
-45 times -78
3510
Work out -13 * 57.
-741
-0.26*-96
24.96
Calculate -0.01*1.32.
-0.0132
Product of -104 and
|
{
"pile_set_name": "DM Mathematics"
}
|
10605, 21273, 31919, 42537, 53121, 63665?
-s**3 - 5*s**2 + 10690*s - 79
What is the a'th term of 3091, 12256, 27513, 48874, 76351?
2*a**3 + 3034*a**2 + 49*a + 6
What is the u'th term of -379079067, -758158136, -1137237205, -1516316274, -1895395343, -2274474412?
-379079069*u + 2
What is the m'th term of 131, 545, 973, 1421, 1895, 2401?
m**3 + m**2 + 404*m - 275
What is the t'th term of -67312, -67367, -67422, -67477?
-55*t - 67257
What is the n'th term of -95, 687, 2325, 4819, 8169, 12375, 17437?
428*n**2 - 502*n - 21
What is the v'th term of 19305806, 38611640, 57917474, 77223308, 96529142?
19305834*v - 28
What is the v'th term of 1162, 1135, 1078, 991, 874, 727?
-15*v**2 + 18*v + 1159
What is the v'th term of 7799, 7806, 7813, 7820, 7827?
7*v + 7792
What is the w'th term of 12044, 23260, 34476, 45692?
11216*w + 828
What is the p'th term of 277, 78, -919, -3122, -6939, -12778, -21047, -32154?
-68*p**3 + 9*p**2 + 250*p + 86
What is the d'th term of 78730, 77798, 76856, 75898, 74918, 73910, 72868, 71786?
-d**3 + d**2 - 928*d + 79658
What is the f'th term of 124985, 250543, 376091, 501623, 627133?
-f**3 + f**2 + 125562*f - 577
What is the k'th term of -6669731, -13339450, -20009179, -26678924, -33348691, -40018486, -46688315?
-k**3 + k**2 - 6669715*k - 16
What is the c'th term of -2054, -5767, -11206, -18371?
-863*c**2 - 1124*c - 67
What is the s'th term of -5671615, -5671619, -5671625, -5671633, -5671643?
-s**2 - s - 5671613
What is the u'th term of 4855643, 9711288, 14566937, 19422590, 24278247, 29133908?
2*u**2 + 4855639*u + 2
What is the i'th term of -126149329, -126149330, -126149331?
-i - 126149328
What is the g'th term of 1675507, 3351162, 5026817, 6702472?
1675655*g - 148
What is the o'th term of -4599, -8818, -13037, -17256, -21475, -25694?
-4219*o - 380
What is the k'th term of 3783131, 7566264, 11349397, 15132530?
3783133*k - 2
What is the i'th term of -65920, -66239, -66558, -66877?
-319*i - 65601
What is the x'th term of -12640, -12253, -11870, -11491, -11116, -10745, -10378?
-2*x**2 + 393*x - 13031
What is the b'th term of -479150570, -958301138, -1437451706, -1916602274, -2395752842, -2874903410?
-479150568*b - 2
What is the u'th term of 611057, 1222453, 1834185, 2446253, 3058657, 3671397?
168*u**2 + 610892*u - 3
What is the x'th term of -8499097, -8499089, -8499075, -8499055?
3*x**2 - x - 8499099
What is the v'th term of -11575, -16842, -22109, -27376, -32643, -37910?
-5267*v - 6308
What is the n'th term of -126520, -126112, -125704, -125296?
408*n - 126928
What is the h'th term of 94492, 188981, 283468, 377953, 472436, 566917?
-h**2 + 94492*h + 1
What is the i'th term of 85703, 171533, 257363, 343193, 429023, 514853?
85830*i - 127
What is the k'th term of -9246, -74052, -249978, -592584, -1157430, -2000076, -3176082, -4741008?
-9260*k**3 + 14*k
What is the t'th term of 63471, 129366, 195261, 261156, 327051?
65895*t - 2424
What is the u'th term of -122833, -122822, -122817, -122824, -122849, -122898?
-u**3 + 3*u**2 + 9*u - 122844
What is the n'th term of 2834012, 5668020, 8502028, 11336036, 14170044, 17004052?
2834008*n + 4
What is the j'th term of -13460, -13355, -13250?
105*j - 13565
What is the r'th term of -38792828, -77585655, -116378482, -155171309?
-38792827*r - 1
What is the t'th term of -565999, -565987, -565975, -565963, -565951?
12*t - 566011
What is the u'th term of 57343, 114636, 171929, 229222, 286515, 343808?
57293*u + 50
What is the h'th term of -954, 6706, 27496, 67980, 134722, 234286, 373236?
1094*h**3 + h**2 - h - 2048
What is the f'th term of 37954, 36213, 34470, 32725, 30978, 29229?
-f**2 - 1738*f + 39693
What is the s'th term of 6216, 6657, 7222, 7911, 8724?
62*s**2 + 255*s + 5899
What is the l'th term of -6141416, -12282845, -18424288, -24565751, -30707240, -36848761, -42990320, -49131923?
-l**3 - l**2 - 6141419*l + 5
What is the n'th term of 2883, 24866, 61505, 112800, 178751?
7328*n**2 - n - 4444
What is the x'th term of 403, 2787, 8877, 20401, 39087?
288*x**3 + 125*x**2 - 7*x - 3
What is the r'th term of 76252, 76321, 76410, 76525, 76672, 76857, 77086?
r**3 + 4*r**2 + 50*r + 76197
What is the j'th term of -13059365, -52237462, -117534291, -208949852?
-13059366*j**2 + j
What is the z'th term of 6519, 21156, 45547, 79686, 123567, 177184, 240531?
-z**3 + 4883*z**2 - 5*z + 1642
What is the k'th term of 7858, 20179, 32452, 44653, 56758, 68743, 80584, 92257?
-4*k**3 + 12349*k - 4487
What is the s'th term of -106074506, -212148998, -318223488, -424297976?
s**2 - 106074495*s - 12
What is the v'th term of -1070, -7351, -24374, -57509, -112126, -193595, -307286, -458569?
-895*v**3 - v**2 - 13*v - 161
What is the j'th term of -3861, -4084, -4307?
-223*j - 3638
What is the f'th term of 30979, 124249, 279701, 497335, 777151, 1119149?
31091*f**2 - 3*f - 109
What is the y'th term of 175511, 175672, 175943, 176324, 176815, 177416, 178127?
55*y**2 - 4*y + 175460
What is the b'th term of -2610, -30952, -78176, -144276, -229246, -333080?
b**3 - 9447*b**2 - 8*b + 6844
What is the p'th term of 899506, 1800767, 2702028, 3603289?
901261*p - 1755
What is the o'th term of -2026, -9947, -23148, -41629?
-2640*o**2 - o + 615
What is the j'th term of 2883127, 11532192, 25947301, 46128454, 72075651?
2883022*j**2 - j + 106
What is the z'th term of 4441, 4339, 4233, 4123, 4009?
-2*z**2 - 96*z + 4539
What is the l'th term of 4400186, 4400218, 4400250, 4400282, 4400314, 4400346?
32*l + 4400154
What is the p'th term of 3306513, 3306504, 3306493, 3306480, 3306465, 3306448, 3306429?
-p**2 - 6*p + 3306520
What is the h'th term of 8391, 16712, 25033, 33354?
8321*h + 70
What is the s'th term of -291091, -582166, -873247, -1164334?
-3*s**2 - 291066*s - 22
What is the g'th term of -726, -1887, -3574, -5787, -8526?
-263*g**2 - 372*g - 91
What is the z'th term of 161138883, 161138886, 161138889, 161138892?
3*z + 161138880
What is the a'th term of -118752, -237637, -356522, -475407, -594292, -713177?
-118885*a + 133
What is the h'th term of -162122, -324234, -486346, -648458?
-162112*h - 10
What is the q'th term of 1092536, 2185080, 3277622, 4370162?
-q**2 + 1092547*q - 10
What is the s'th term of -16083, -47129, -93093, -153969, -229751, -320433, -426009?
s**3 - 7465*s**2 - 8658*s + 39
What is the u'th term of 364, 812, 1308, 1858, 2468, 3144, 3892?
u**3 + 18*u**2 + 387*u - 42
What is the t'th term of 1681, 1668, 1633, 1570, 1473, 1336?
-t**3 - 5*t**2 + 9*t + 1678
What is the w'th term of -5167, -6409, -7651, -8893?
-1242*w - 3925
What is the b'th term of -798, -1170, -1512, -1824, -2106, -2358?
15*b**2 - 417*b - 396
What is the a'th term of -45352, -45710, -46068, -46426?
-358*a - 44994
What is the g'th term of 411, 371, 379, 459, 635?
4*g**3 - 68*g + 475
What is the j'th term of -1681802, -3363605, -5045408, -6727211?
-1681803*j + 1
What is the s'th term of 139716, 279442, 419178, 558924, 698680, 838446?
5*s**2 + 139711*s
What is the t'th term of -10085, -20205, -30435, -40829, -51441, -62325, -73535?
-9*t**3 - t**2 - 10054*t - 21
What is the u'th term of 221683791, 221683790, 221683789, 221683788, 221683787?
-u + 221683792
What is the n'th term of -218619, -218630, -218651, -218682?
-5*n**2 + 4*n - 218618
What is the u'th term of -10448, -10653, -10898, -11177, -11484?
u**3 - 26*u**2 - 134*u - 10289
What is the z'th term of -13791, -28434, -43077, -57720, -72363, -87006?
-14643*z + 852
What is the d'th term of 122561, 249143, 375725, 502307, 628889?
126582*d - 4021
What is the n'th term of -4377833, -8755668, -13133503, -17511338, -21889173, -26267008?
-4377835*n + 2
What is the i'th term of 1846508, 1846511, 1846514, 1846517, 1846520, 1846523?
3*i + 1846505
What is the d'th term of -48193, -192456, -432893, -769504, -1202289, -1731248?
-48087*d**2 - 2*d - 104
What is the f'th term of -121, -96, -53, -16, -9, -56, -181?
-4*f**3 + 33*f**2 - 46*f - 104
What is the d'th term of -134031, -133980, -133929?
51*d - 134082
What is the i'th term of -205781, -205788, -205771, -205718, -205617, -205456, -205223?
2*i**3 - 21*i - 205762
What is the r'th term of -785413, -785423, -785433, -785443, -785453, -785463?
-10*r - 785403
What is the c'th term of 54886, 54870, 54896, 54964?
21*c**2 - 79*c + 54944
What is the i'th term of 1200, 6236, 19868, 46392
|
{
"pile_set_name": "DM Mathematics"
}
|
*o - z. Round d to the nearest 1000000.
-5000000
Let z = -673503352 + 673503223.00000056. Let u = z - -129. Round u to 7 decimal places.
0.0000006
Suppose 0 = -5*p + 3*p + 6. Suppose -2*r + v = 4226002, 6339008 = -p*r - v + 5*v. Round r to the nearest one hundred thousand.
-2100000
Let s = -25.69 + 27.764. Let n = -1.9231 + s. Round n to two decimal places.
0.15
Let j = -0.0483 - -278.0483. Let u = -292.35 + j. Round u to 1 decimal place.
-14.4
Suppose 5*a - 92 = -47. Suppose -u - a - 1 = 0. Let g be (2 - -166)/(15/u). Round g to the nearest 10.
-110
Let x(l) = -410398*l**2 - 18*l + 40. Let r be 1 + (10 - 5) + -1. Let j be x(r). What is j rounded to the nearest one million?
-10000000
Suppose 3*q = -5*h, -3*h + 8*h = 0. Suppose q = 9*g - 12*g - 18. Let l be ((-200)/g)/((-27482)/(-27480) + -1). What is l rounded to the nearest 10000?
460000
Let s = -252.1847 - 3.6853. Round s to zero decimal places.
-256
Suppose 7*d - 7997037 = 2229427 - 51612564. What is d rounded to the nearest 100000?
-5900000
Let c(i) = -i**2 - 8*i + 146. Let q be c(9). Let g be 10150*(q/3 - (-13)/39). Round g to the nearest one thousand.
-20000
Suppose -3*b + 59791 = -o, 196895 = -4*o - b - 42308. What is o rounded to the nearest one hundred thousand?
-100000
Let u(w) = 719*w**3 - 9*w**2 - 18*w - 40. Let f be u(-8). What is f rounded to the nearest ten thousand?
-370000
Let h = 15404.9969451 - 15405. What is h rounded to four decimal places?
-0.0031
Let h = -21673.6 - -20850. Round h to the nearest one hundred.
-800
Let a = 76.1 + -83. Let v = a + 7.144. Let u = v + 1.776. What is u rounded to one decimal place?
2
Let f = -533 - -533.73. Let k = f + -0.7553. What is k rounded to 2 decimal places?
-0.03
Let y(v) = -43*v. Let p be y(-10). Suppose -4*g + p = -686. Suppose -879 = -k - g. What is k rounded to the nearest one thousand?
1000
Let y = -448 - -449.6091. Round y to 1 decimal place.
1.6
Let v = -559634.5783 + 559749.57830315. Let s = v + -115. Round s to seven dps.
0.0000032
Let d = -13.689 - -15.1309. Round d to two decimal places.
1.44
Let p = 2.5 + 28.5. Let g = -295502433.99999855 - -295502465. Let y = g - p. What is y rounded to seven dps?
0.0000015
Let i = 269 + -268.794. Let g = i - 0.2059745. What is g rounded to five dps?
0.00003
Let k = 1186.065 - 1196. Let b = -9.739 + -0.261. Let p = k - b. What is p rounded to two decimal places?
0.07
Let l = -2872.288 + 0.288. Let t = l + 2750.1. What is t rounded to the nearest 10?
-120
Let z(y) be the third derivative of -6089*y**6/120 - y**5/60 + y**4/8 - y**3/2 + 49*y**2. Let v be z(1). What is v rounded to the nearest 100?
-6100
Let n(p) = -324547*p - 9. Let x(z) = -649090*z - 19. Let g(o) = 13*n(o) - 6*x(o). Let w be g(7). Round w to the nearest one hundred thousand.
-2300000
Let c = -16 - -23. Suppose c*i = 10*i - 2*i. Suppose i = 16*p - 13*p - 9000. Round p to the nearest one thousand.
3000
Let v = 10.943 + -10.942982685. Round v to 6 dps.
0.000017
Let u = -77.8 - -129. Let l = u - 525.2. Let w = l + 473.9446. Round w to 2 decimal places.
-0.06
Let u(f) = f**3 + 7*f**2 + 3*f - 24. Let l be u(-6). Let b(a) = -7*a**3 - 4*a**2 + 10*a - 19. Let n be b(l). Round n to the nearest 100.
1300
Let a = -16770 + 16769.920291. What is a rounded to three decimal places?
-0.08
Suppose -2*c + 2 = -6. Suppose -3*u + 103 = 5*v, 0 = -c*u + 8*u + 5*v - 139. What is u rounded to the nearest 10?
40
Let x be ((-104)/39)/(4/(-6)). Suppose 0 = f - 2*m - 339998, -x*m - 877778 - 142218 = -3*f. Round f to the nearest one million.
0
Let v = -4287.99967515 + 4288. Round v to six dps.
0.000325
Let h = -4904.04282 - -4904. Let k = -0.0207 - h. Round k to 3 dps.
0.022
Let y(z) = 4*z**2 - 14*z + 12. Let d be y(6). Let s = d - 72. Suppose s*r - 3*r = 65100. What is r rounded to the nearest 1000?
-22000
Let t = -22076.00004784 - -22076. Round t to 6 decimal places.
-0.000048
Let j = -39182.00000091716 + 39182. What is j rounded to 7 decimal places?
-0.0000009
Suppose -2*r - 19*r = -140228655. Let j(d) = 20221*d**3 + 5*d**2 + d + 7. Let f be j(-6). Let s = r + f. What is s rounded to the nearest one hundred thousand?
2300000
Let m(f) = 834511*f - 252. Let d be m(-68). What is d rounded to the nearest one million?
-57000000
Let x(k) = -882*k + 52. Suppose -3*f = -5*v - 67, -5*v - 4*f - f = 75. Let t be x(v). Round t to the nearest 1000.
12000
Let o = -98.77004399 + 98.77. What is o rounded to five decimal places?
-0.00004
Let w = -28.8 - -277.8. Let b = -497 + w. Let y = b + 237.1. Round y to 0 dps.
-11
Let j(p) = 56*p**2 - 7*p - 3. Let x(t) = t**3 + 13*t**2 + 5*t + 48. Let n be x(-13). Let q be j(n). Round q to the nearest 1000.
16000
Let c = -1293 + 1311. Let o = -141955.0087 - -141937.00869989. Let t = c + o. What is t rounded to seven decimal places?
-0.0000001
Let y(k) = k**3 - 12*k**2 - 67*k + 62. Let x be y(16). Let c be 4/10 - 8/(-5). Let w be x*(c/(-12))/(6/(-738)). Round w to the nearest ten.
290
Let w(z) be the first derivative of 3575*z**2/2 + 40*z + 12. Let f be w(2). Round f to the nearest 1000.
7000
Suppose 2*d - 647478 + 2370475 = 3*m, 0 = 3*m + 3. What is d rounded to the nearest 100000?
-900000
Let f = 12.3345 - -0.4905. Round f to the nearest ten.
10
Let v = 21642 - 21701.36. What is v rounded to the nearest ten?
-60
Suppose 0 = -w - 0*w + 5. Suppose z + w = 9. Suppose -a - 1629996 = z*q, -a = 5*q - 179510 + 1809505. Round a to the nearest 100000.
-1600000
Let o = 7865.9887496 - 7866. What is o rounded to four decimal places?
-0.0113
Let n(v) = 79*v**2 + 13. Suppose -8*x = -4*x + 12. Let d be n(x). Suppose -2*j = 3*u + 9809, -d = j + u + 4179. What is j rounded to the nearest 1000?
-5000
Let h be (-1)/(-3 + -1 - 71349/(-17837)). Round h to the nearest 1000.
-18000
Let m be -1*5*3*1/(-5). Suppose -4*a = -5*s + 6571525, -m*a + 0*a = 0. Suppose 0 = -2*z - 494305 + s. What is z rounded to the nearest one million?
0
Suppose -6 = 5*f - 7*f. Let n be 3/((f/(-1))/(-9204)). Suppose -1704 = -5*k - n. Round k to the nearest one hundred.
-1500
Let u be 2/(-15) - 1054/(-255). Suppose -u*a = 18*a - 21120. What is a rounded to the nearest 1000?
1000
Let s = -939939 + -4139061. Round s to the nearest 100000.
-5100000
Let q = -48.8 - -31.9. Let k = q - -14.1. What is k rounded to the nearest integer?
-3
Let b = 20.1 - 19.01. Let o = b + -0.961. What is o rounded to 1 dp?
0.1
Let r = 52.7 - -17.3. Let y = -177 - r. Let t = y + 249.02. What is t rounded to 1 decimal place?
2
Let x = 12529.2 + -12529.70461. Round x to one decimal place.
-0.5
Let b = 20.5 + -19.1. Let t = -1.401151 + b. What is t rounded to 4 decimal places?
-0.0012
Let r = -15948.999960065 + 15949. Round r to 5 decimal places.
0.00004
Let r be (-44)/(-198) + (-70074058)/18. Let j = r - -2644003. Round j to the nearest 100000.
-1200000
Let f = -3.04 + -3.19. Let j = 6.1746 + f. Round j to 2 decimal places.
-0.06
Let m = -35845 - -528244. Let i = m + -768399. Round i to the nearest ten thousand.
-280000
Let j be (-12)/(-258) - (-1116235)/43. What is j rounded to the nearest one thousand?
26000
Let k = 0.09391 + -0.09389375. Round k to 6 dps.
0.000016
Let v(n) = 21822*n**3 - 7*n**2 + 16*n - 10. Let x be v(2). Suppose -x = 5*r - 5*t, -4*r - 2*t - 89616 = 50016. What is r rounded to the nearest one thousand?
-35000
Let h = 0.1723 - 1.0233. Let g = 79.551 + h. Round g to the nearest 10.
80
Let q be (1 - 2363751)*672/120. What is q rounded to the nearest 100000?
-13200000
Let j = 4.413 - 0.013. Let d = -4530 + 4525.1. Let z = d - j. What is z rounded to 0 dps?
-9
Suppose 6*v - 15 = 9*v, 15125 = -l - 4*v. What is l rounded to the nearest 100?
-15100
Suppose 4*f + 19401 = v, 1672 = -4*f - 5*v - 17723. Suppose -5*p - 98000 = -13*p. Let z = f + p. Round z to the nearest one thousand.
7000
Let n = 13 + -44. Let h = 146176 - 146145.0023. Let z = h + n. Round z to 4 decimal places.
-0.0023
Let x = -0.078 - -3.448. Let d = x + -0.27. Let a = d + 15.8. What is a rounded to the nearest 10?
20
Let o = 23.814925 - 23.8. Round o to four decimal places.
0.0149
Let r = 1.0116 - 1.01158867. What is r rounded to six decimal places?
0.000011
Suppose 4*g - 3*u = 35, -2 - 3 = -4*g - 3*u. Suppose 0 = -2*k + 3*h - 6, -h + 3 = -g*k + 1. Let o be k + 1 + 34999995/5. Round o to the nearest 1000000.
7000000
Let j
|
{
"pile_set_name": "DM Mathematics"
}
|
, -638, -871?
-1114
What is next in -3238, -3237, -3236, -3235?
-3234
What is the next term in 5, -46, -129, -244?
-391
What is next in 15, 16, 17, 18?
19
What is the next term in 769, 768, 767?
766
What is the next term in -173, -187, -211, -251, -313, -403, -527, -691?
-901
What is next in -32, -73, -118, -167, -220?
-277
What is the next term in -527, -531, -533, -533?
-531
What is the next term in 208, 489, 958, 1615?
2460
What comes next: -126, -138, -150, -162?
-174
What comes next: 369, 372, 375, 378?
381
What is next in 1434, 1435, 1436, 1437, 1438?
1439
What is the next term in -14, -93, -234, -443, -726, -1089, -1538?
-2079
What comes next: -212, -343, -474, -605?
-736
What comes next: -35, -144, -321, -566, -879, -1260?
-1709
What is the next term in 47, 80, 115, 152, 191, 232?
275
What is the next term in 92, 84, 70, 50, 24?
-8
What is the next term in -5, 28, 63, 100?
139
What comes next: 987, 1959, 2921, 3879, 4839, 5807?
6789
What is the next term in -21, -30, -39?
-48
What is the next term in 13, -20, -137, -380, -791?
-1412
What is next in 3950, 3946, 3942?
3938
What is the next term in -156, -157, -158, -159?
-160
What comes next: 345, 146, -195, -684, -1327?
-2130
What comes next: 2, 14, 30, 50, 74?
102
What is the next term in 16, 29, 42, 55, 68, 81?
94
What comes next: 28, 45, 52, 43, 12, -47, -140?
-273
What is next in 5728, 5716, 5690, 5644, 5572?
5468
What is the next term in 0, -38, -114, -234, -404, -630, -918, -1274?
-1704
What is next in 4225, 4224, 4223, 4222?
4221
What is next in -29, -27, -29, -41, -69, -119, -197?
-309
What is next in -109, -169, -269, -409, -589, -809?
-1069
What is the next term in 158, 319, 486, 659, 838?
1023
What is the next term in 90, 93, 96, 99, 102?
105
What is the next term in 58, 137, 216, 295?
374
What is the next term in 730, 729, 728?
727
What is next in -37, -91, -169, -283, -445, -667, -961, -1339?
-1813
What is the next term in 27, 65, 123, 207, 323, 477?
675
What comes next: -358, -660, -960, -1258, -1554?
-1848
What is the next term in -121, -90, -47, 8, 75, 154, 245?
348
What is the next term in 1444, 2866, 4288?
5710
What comes next: -13, 0, 19, 44, 75, 112, 155?
204
What comes next: 41, 86, 163, 272, 413, 586?
791
What is the next term in 1207, 1206, 1205, 1204?
1203
What is next in -131, -263, -395, -527?
-659
What is next in 17, 23, 29, 35?
41
What is next in 2052, 2034, 1990, 1908, 1776, 1582, 1314?
960
What is next in 12598, 25193, 37788, 50383?
62978
What comes next: 1058, 2114, 3170, 4226, 5282?
6338
What comes next: -19, 8, 53, 116, 197, 296?
413
What is the next term in -277, -273, -269, -265, -261, -257?
-253
What is next in -65, -98, -133, -170, -209, -250, -293?
-338
What is the next term in 284, 293, 316, 359, 428, 529?
668
What is next in -343, -686, -1027, -1366, -1703?
-2038
What comes next: 390, 779, 1160, 1527, 1874, 2195, 2484?
2735
What is the next term in 1747, 1748, 1749, 1750?
1751
What is next in -14, -32, -56, -86, -122, -164?
-212
What is the next term in -23, -36, -25, 22, 117?
272
What comes next: 14, 33, 56, 83, 114, 149?
188
What is next in 1193, 2395, 3599, 4805, 6013?
7223
What is next in -4020, -4018, -4014, -4008?
-4000
What is next in 32, 52, 74, 98, 124, 152?
182
What is the next term in 504, 494, 484, 474, 464?
454
What is next in 166, 166, 168, 172?
178
What is the next term in -45, -84, -123, -162, -201, -240?
-279
What is next in -43, -91, -147, -211, -283?
-363
What comes next: -17, -62, -137, -242, -377?
-542
What is the next term in 635, 2521, 5665, 10067, 15727?
22645
What is next in -489, -372, -177, 96, 447?
876
What comes next: 164, 168, 184, 218, 276?
364
What comes next: -233, -467, -703, -941, -1181, -1423, -1667?
-1913
What comes next: -28, -27, -26, -25, -24?
-23
What is the next term in 4, -7, -20, -35?
-52
What comes next: 91, 191, 291, 391, 491, 591?
691
What is the next term in 313, 628, 943, 1258, 1573?
1888
What comes next: -5760, -23032, -51826, -92148, -144004, -207400, -282342, -368836?
-466888
What is next in -21, -10, 5, 24, 47?
74
What is the next term in -62, -61, -48, -17, 38, 123, 244, 407?
618
What is the next term in -6230, -6235, -6240?
-6245
What is the next term in 958, 1915, 2858, 3781, 4678, 5543, 6370?
7153
What comes next: 80, 399, 932, 1679, 2640, 3815?
5204
What is the next term in 129, 196, 307, 462, 661, 904?
1191
What is next in 12, 24, 36?
48
What is next in 8, 38, 114, 254, 476?
798
What is the next term in 108, 111, 114, 117, 120?
123
What comes next: 448, 904, 1362, 1822, 2284, 2748, 3214?
3682
What is the next term in -124, -93, -62, -31?
0
What comes next: -61, -191, -407, -709, -1097?
-1571
What is next in 72, 81, 92, 105, 120, 137?
156
What is next in -17, -48, -105, -194, -321, -492, -713, -990?
-1329
What comes next: 150, 151, 144, 123, 82, 15, -84?
-221
What is next in 108, 129, 166, 225, 312, 433?
594
What comes next: -1829, -3664, -5499, -7334?
-9169
What is next in 3125, 6245, 9365, 12485, 15605, 18725?
21845
What comes next: 240, 262, 300, 360, 448, 570, 732?
940
What is the next term in -186, -366, -546, -726, -906?
-1086
What is the next term in 20, 78, 168, 284, 420, 570, 728?
888
What is the next term in 11, 10, 3, -16, -53, -114, -205, -332?
-501
What comes next: 12, 28, 44, 60, 76?
92
What comes next: -14, -2, -2, -20, -62, -134, -242, -392?
-590
What comes next: 4, 20, 40, 64, 92, 124, 160?
200
What is the next term in -1, -7, -13?
-19
What comes next: 59, 246, 561, 1004?
1575
What is next in 13, -21, -71, -137, -219, -317?
-431
What is the next term in 11365, 11367, 11369, 11371, 11373, 11375?
11377
What is the next term in 219, 217, 215, 213, 211, 209?
207
What comes next: -22531, -22530, -22529, -22528, -22527?
-22526
What comes next: -80, -165, -250, -335, -420, -505?
-590
What comes next: 13, 8, 5, 4, 5, 8, 13?
20
What comes next: -28, -52, -114, -232, -424, -708?
-1102
What comes next: 90, 183, 274, 363?
450
What is the next term in 17, 55, 121, 215, 337?
487
What is the next term in -60, -116, -172?
-228
What is next in 97, 194, 291?
388
What is the next term in 4889, 9777, 14665, 19553, 24441, 29329?
34217
What comes next: 223, 186, 133, 58, -45, -182, -359?
-582
What is the next term in -25, -61, -121, -205, -313, -445?
-601
What is next in 67, 226, 651, 1474, 2827, 4842?
7651
What is the next term in 12, 21, 30?
39
What is the next term in 33, 63, 91, 117?
141
What is the next term in 1, -17, -61, -143, -275, -469, -737?
-1091
What is the next term in -40, -44, -64, -106, -176?
-280
What comes next: -181, -182, -173, -148, -101, -26, 83?
232
What comes next: 36, 17, -38, -147, -328, -599?
-978
What comes next: -396, -789, -1182, -1575, -1968, -2361?
-2754
What is next in 1261, 1244, 1215, 1168, 1097, 996?
859
What is the next term in 247, 489, 731, 973, 1215?
1457
What comes next: 8, 1, -10, -25?
-44
What is next in 7, 0, -7?
-14
What is next in -97, -205, -321, -445?
-577
What is next in -41, -36, -27, -14, 3?
24
What is next in 266, 532, 798, 1064, 1330, 1596?
1862
What is the next term in -267, -301, -359, -441, -547, -677, -831?
-1009
What is the next term in 14, 18, 24, 32, 42, 54, 68?
84
What is the next term in 408, 799, 1190, 1581, 1972?
2363
What is next in -159, -317, -477, -639?
-803
What is next in 49, 123, 269, 505, 849, 1319?
1933
What is next in 55, 49, 39, 25, 7, -15?
-41
What is the next term in 224, 213, 202, 191?
180
What is the next term in -1349, -1352, -1355?
-1358
What comes next: 272, 544, 816, 1088?
1360
What is the next term in 83, 76, 69, 62, 55, 48?
41
What is next in -22, -31, -40, -49?
-58
What is the next term in 660, 658, 656, 654, 652?
650
What is the next term in -146, -148, -152, -158?
-166
What is the next term in -11, 72, 157, 244, 333, 424, 517?
612
What is the next term in 1, 54, 121, 208, 321?
466
What comes next: -37, -55, -97, -175, -301, -487?
-745
What is next in 33775, 33774, 33773?
33772
What is the next term in -23, -16, -19, -38, -79, -148?
-251
What is the next term in -1047, -1053, -1059?
-1065
What is next in 7, 37, 67?
97
What comes next: -158, -149, -134, -113?
-86
What is next in -51, -253, -595, -1083, -1723?
-2521
What is the next term in -194, -206, -240, -308, -422, -594, -836?
-1160
What comes next: -
|
{
"pile_set_name": "DM Mathematics"
}
|
base 10?
1393
Convert -42a (base 14) to base 13.
-4b3
Convert 32101 (base 5) to base 9.
2850
What is 130 (base 15) in base 5?
2040
-796 (base 10) to base 13
-493
Convert 711 (base 13) to base 4.
102231
What is -7294 (base 11) in base 6?
-112422
aa9 (base 14) to base 15
959
-20201 (base 5) to base 10
-1301
Convert 11011002 (base 3) to base 13.
14ba
Convert -146c (base 15) to base 11.
-331a
Convert 9393 (base 12) to base 10.
16095
100000101101101 (base 2) to base 15
4e69
Convert -1001111100110 (base 2) to base 15.
-1799
What is -11000011001 (base 2) in base 12?
-aa1
What is -22571 (base 9) in base 14?
-56ad
Convert 3081 (base 11) to base 16.
ff2
What is -74 (base 8) in base 12?
-50
Convert -12211 (base 5) to base 14.
-4a7
What is 20021120 (base 4) in base 16?
8258
What is -4764 (base 9) in base 11?
-272a
62a (base 11) to base 12
532
Convert 133122 (base 8) to base 13.
18324
What is -2414 (base 5) in base 16?
-167
-4d (base 16) to base 6
-205
1595 (base 11) to base 4
133320
-1130432 (base 5) to base 6
-240010
1ce7 (base 16) to base 5
214044
314 (base 11) to base 10
378
Convert -223340 (base 5) to base 16.
-1f22
864 (base 14) to base 2
11001111000
What is 34a6 (base 15) in base 16?
2bad
What is -3555 (base 7) in base 5?
-20224
244 (base 6) to base 14
72
What is 4fb4 (base 16) in base 9?
30881
What is -401334 (base 5) in base 9?
-18402
101111001 (base 2) to base 15
1a2
-588 (base 13) to base 14
-4c5
What is -706 (base 16) in base 9?
-2417
Convert -3011122 (base 4) to base 5.
-401014
What is -1430 (base 8) in base 15?
-37c
What is -28485 (base 9) in base 6?
-225335
2012210 (base 4) to base 11
651a
What is -29a6 (base 11) in base 16?
-f1b
Convert 12c (base 13) to base 6.
543
-11110010001011 (base 2) to base 11
-10710
What is 32656 (base 8) in base 2?
11010110101110
What is 2004 (base 9) in base 6?
10434
What is 231262 (base 7) in base 9?
62581
Convert -2820 (base 10) to base 7.
-11136
What is 4121413 (base 5) in base 11?
46468
-1280 (base 11) to base 15
-75b
What is -17675 (base 9) in base 10?
-12218
Convert 111322233 (base 4) to base 2.
10101111010101111
-7ecb (base 16) to base 5
-2014314
-13425 (base 6) to base 10
-2105
What is 10110000110 (base 2) in base 3?
1221101
What is 11001001101 (base 2) in base 7?
4463
What is -2a9 (base 13) in base 12?
-339
Convert -8473 (base 14) to base 15.
-6b77
-133 (base 14) to base 16
-f1
What is -be52 (base 16) in base 2?
-1011111001010010
69cb (base 14) to base 6
221115
Convert 23a (base 14) to base 16.
1bc
What is -41364 (base 7) in base 15?
-3010
Convert -24060 (base 7) to base 8.
-14110
-7712 (base 13) to base 9
-24658
What is -2a81 (base 13) in base 11?
-4717
What is -31225 (base 6) in base 5?
-113233
Convert -1567 (base 12) to base 14.
-cc7
Convert 1010202 (base 3) to base 14.
434
What is -514 (base 16) in base 12?
-904
3c3 (base 15) to base 10
858
Convert 9880 (base 10) to base 9.
14487
3500 (base 9) to base 8
5040
-3301 (base 4) to base 10
-241
-1314e (base 16) to base 3
-10222012202
285 (base 11) to base 8
517
What is -2121121 (base 4) in base 9?
-14417
What is -567a (base 11) in base 12?
-43a4
What is 2121033 (base 4) in base 2?
10011001001111
2044 (base 5) to base 15
134
Convert -49852 (base 10) to base 14.
-1424c
Convert -110111101000000 (base 2) to base 11.
-1a441
What is 140283 (base 9) in base 5?
10214110
113103 (base 5) to base 9
5624
Convert 4676 (base 9) to base 16.
d8f
-31032 (base 4) to base 8
-1516
What is 1000202210 (base 3) in base 6?
233420
6206 (base 7) to base 11
1696
Convert 1bab9 (base 12) to base 8.
120555
What is -1635 (base 14) in base 8?
-7577
What is 20604 (base 8) in base 11?
64a0
What is -1118 (base 16) in base 3?
-20000002
What is 16100 (base 10) in base 15?
4b85
What is 111 (base 13) in base 5?
1213
Convert -1e7 (base 15) to base 14.
-238
Convert d23d (base 16) to base 4.
31020331
Convert 537 (base 8) to base 3.
111000
-451 (base 7) to base 12
-174
Convert d5 (base 16) to base 13.
135
6638 (base 9) to base 7
20162
-236 (base 15) to base 4
-13311
Convert -1b80 (base 12) to base 14.
-1356
-7074 (base 8) to base 15
-112e
-4375 (base 10) to base 9
-6001
2801 (base 9) to base 6
13431
-23151 (base 10) to base 15
-6cd6
What is -10220012 (base 3) in base 9?
-3805
What is 13421 (base 6) in base 4?
200311
Convert 14544 (base 6) to base 4.
211000
What is 2003 (base 7) in base 9?
845
Convert 211430 (base 5) to base 7.
26513
Convert 1110001 (base 3) to base 4.
100132
What is 100001010101 (base 2) in base 9?
2830
-10028 (base 9) to base 15
-1e42
Convert -101110 (base 2) to base 5.
-141
-41143 (base 5) to base 10
-2673
What is 922a (base 13) in base 9?
30565
Convert 5b25 (base 15) to base 11.
13623
Convert -2824 (base 12) to base 8.
-11034
1024 (base 8) to base 16
214
Convert 1111022 (base 3) to base 12.
768
Convert 2187 (base 14) to base 16.
16ab
Convert 62b4 (base 13) to base 16.
3563
42154 (base 10) to base 4
22102222
Convert 254 (base 10) to base 13.
167
20111 (base 3) to base 8
257
Convert 3203 (base 6) to base 12.
503
What is a8 (base 11) in base 7?
226
What is -e0e (base 15) in base 11?
-2417
-1020010212 (base 3) to base 9
-36125
-150 (base 12) to base 5
-1304
What is 3431 (base 5) in base 3?
200012
Convert -13c3 (base 14) to base 9.
-4722
What is -3b2 (base 14) in base 16?
-2e8
154 (base 8) to base 5
413
-10101101100101 (base 2) to base 14
-4097
What is 10000111001 (base 2) in base 7?
3103
Convert 729 (base 11) to base 15.
3d8
-12b9c (base 13) to base 2
-1000100001111111
112011011 (base 3) to base 10
10318
Convert -24424 (base 5) to base 9.
-2501
1110100100110111 (base 2) to base 16
e937
Convert -938d (base 16) to base 12.
-19a39
Convert -1b0 (base 15) to base 14.
-1dc
What is 10100010101 (base 2) in base 10?
1301
What is 302000 (base 5) in base 16?
2599
-904 (base 11) to base 16
-445
b4 (base 12) to base 7
253
10026 (base 8) to base 6
31022
-5822 (base 9) to base 13
-1c6a
What is 1960 (base 14) in base 3?
20022002
Convert -13030233 (base 4) to base 7.
-151653
10000011 (base 2) to base 3
11212
What is 111101010011010 (base 2) in base 6?
401150
-2553 (base 10) to base 7
-10305
What is 100 (base 3) in base 5?
14
Convert -2604 (base 13) to base 6.
-41020
285 (base 12) to base 11
324
What is -12505 (base 8) in base 16?
-1545
What is -101110 (base 2) in base 7?
-64
Convert 205 (base 15) to base 11.
384
Convert -123553 (base 8) to base 9.
-64711
What is -333125 (base 6) in base 4?
-12310031
What is -139 (base 14) in base 15?
-117
What is 10011001000 (base 2) in base 11?
a13
What is 13076 (base 13) in base 6?
431105
Convert -2217 (base 16) to base 5.
-234402
Convert -7552 (base 12) to base 16.
-324e
628c (base 15) to base 11
14719
What is 111011000 (base 2) in base 4?
13120
Convert -210311 (base 4) to base 16.
-935
2307a (base 11) to base 6
414242
Convert 2c23 (base 16) to base 7.
44641
Convert -17256 (base 8) to base 10.
-7854
What is -220 (base 8) in base 7?
-264
What is 1010012012 (base 3) in base 16?
55fa
-576 (base 13) to base 3
-1021220
Convert -2533 (base 9) to base 10.
-1893
What is -12210120 (base 3) in base 14?
-177d
-1930 (base 11) to base 9
-3325
Convert 1010012121 (base 3) to base 5.
1201041
592 (base 12) to base 13
4bb
713 (base 9) to base 14
2d5
What is 3215 (base 6) in base 10?
731
-12541 (base 6) to base 5
-30213
Convert -1698 (base 13) to base 16.
-d08
What is -122000202 (base 3) in base 4?
-3001331
Convert -43403 (base 6) to base 3.
-22012110
What is -173 (base 14) in base 6?
-1213
b91 (base 12) to base 11
12aa
Convert -20322 (base 10) to base 5.
-1122242
1200 (base 3) to base 16
2d
What is a0c2 (base 14) in base 16?
6bda
143132 (base 5) to base 9
8253
154 (base 14) to base 5
2040
What is 26127 (base 9) in base 3?
220010221
Convert 111101000101 (base 2) to base 13.
1a19
What is 235 (base 9) in base 2?
11000010
What is -13132 (base 5) in base 16?
-412
What is 11110001001111 (base 2) in base 10?
15439
12220212 (base 3) to base 7
15404
What is 1042131 (base 5) in base 8?
43760
50 (base 7) to base 12
2b
922 (base 15) to base 2
100000001001
What is 1313000 (base 4) in base 6?
55132
18b9 (base 15) to base 10
5349
Convert -20233 (base 4) to base 13.
-340
Convert 13013320 (base 4) to base 3.
1111000121
Convert 243 (base 6) to base 14.
71
What is -1022022220 (base 3) in base 15
|
{
"pile_set_name": "DM Mathematics"
}
|
f(p) = p + 3*p**2 - p**3 - 4*p - 3*p**2 + 5*p**2 - 4. Let k = 59 - 56. What is the units digit of f(k)?
5
Let c(b) = b**3 + 19*b**2 + 14*b - 14. What is the tens digit of c(-13)?
1
Suppose 0 = 4*h - 2*a - 638, 4*h + 3*a = h + 474. Suppose 7*q - 4*q = h. What is the units digit of q?
3
Let j be 1/((-12)/16*(-1)/255). Suppose 4*x = -4*a + j, 2*x - 4*x - 4*a = -166. What is the tens digit of x?
8
Let g be 2 - (-4)/(-6)*-6. What is the units digit of (-4)/3*(-279)/g?
2
Let g = 26 - 23. What is the tens digit of g + 5 + -6 + 113?
1
Suppose -5*u + 2*c = -3355, 4*u - 7*u = 2*c - 2029. What is the tens digit of u?
7
Let x = 25 + -39. What is the tens digit of x*1/((-4)/18)?
6
Suppose 0*z - 4*a - 934 = -2*z, 5*z = -5*a + 2395. Let f = z - 278. What is the units digit of f?
7
Suppose 0 = -7*z + 28*z - 1155. What is the units digit of z?
5
Suppose 0*f = -3*u + 3*f + 15, 17 = 3*u - 4*f. Suppose m = 2*i + 118, u*i - 94 = -3*m + 278. Let p = -74 + m. What is the units digit of p?
8
Suppose 2*b - 5 = t + 5, 2*t - 4 = -4*b. Let s be ((-28)/(-12))/(1/b). Suppose 5*z - s*z = -32. What is the units digit of z?
6
Suppose 0 = 8*o + 4*o - 24. Suppose -3*l = -2*p - 629, l - 207 = -o*p - 0*p. What is the units digit of l?
9
Let f(z) = z**3 - 6*z**2 + 7*z - 4. Let r = 3 + 2. Let h be f(r). Suppose 3*n + 2*k - 92 = h*k, 5*n - 176 = k. What is the tens digit of n?
3
Let l(i) = 2*i**2 + 12*i - 23. Suppose 9*m - 4*m = 25. What is the units digit of l(m)?
7
Suppose 0 = 13*j - 11*j + 174. Let w = -56 - j. What is the units digit of w?
1
Let p(l) = l. Let c(t) = 15*t. Let b(y) = -c(y) + 9*p(y). Let o be b(1). What is the units digit of 1 + 0 + (-24)/o?
5
Let x = 12 - -156. Let i = x - 120. What is the units digit of i?
8
Let w(r) = r**3 - r**2 + 2. Let z be w(0). Suppose -19 = -5*j - b - 0*b, -j - z*b = -2. Suppose -a + 31 = -u - 30, a - 73 = j*u. What is the tens digit of a?
5
Suppose -x + 14 = 6. Suppose 0 = -3*l + x + 7. Let u(o) = 9*o - 1. What is the units digit of u(l)?
4
Let m = 0 + 4. Suppose 0 = 5*l - m*r + 86, 2*l = 7*l - r + 74. What is the units digit of (-5)/35 + (-212)/l?
5
Let p = -1 - 3. Let y(l) = 7*l**2 - 4*l. What is the hundreds digit of y(p)?
1
What is the units digit of 87*(-73)/((-7 + 8)*-3)?
7
Let j = -145 - -213. Suppose -20 = 4*i - 9*i. Suppose i*d - 13 = -2*x + 15, -4*x - 5*d + j = 0. What is the tens digit of x?
2
Let i(o) be the third derivative of o**6/120 + o**5/4 - 11*o**4/12 + 19*o**3/6 + 10*o**2. What is the hundreds digit of i(-16)?
1
Let w = -8 - -9. Let j be ((0 + w)*-37)/1. Let l = -7 - j. What is the units digit of l?
0
Let d be -2 - (0 - (-4 + 2)). Suppose 9*x - 31 = 6*x - 5*o, 5*x - 5*o = -15. What is the units digit of -6*(x/d + -1)?
9
Let l(g) = g**2 - 4*g - 7. Let y(x) = -x**2 - 2*x + 5. Let j be y(-4). What is the units digit of l(j)?
4
Suppose -828 = 68*p - 71*p. What is the tens digit of p?
7
Let x = -2745 + 3910. What is the tens digit of x?
6
Let y(v) = -235*v + 157. What is the hundreds digit of y(-8)?
0
Suppose 8*k - 6539 = 3*k + 3*x, -3*k - 5*x + 3937 = 0. Suppose -4*b - 7*b + k = 0. What is the tens digit of b?
1
Suppose -468 = -5*q - 2*b + 5393, -2*b = 4. What is the hundreds digit of q?
1
Let y be 9/27 + ((-22)/(-6) - 1). Suppose -y*d - 3*u = -90, u = d + 3*u - 34. What is the tens digit of d?
2
Let g(y) = -y**2 + 7*y. Let d be g(6). Suppose d*m - 9 = 3. Suppose 0 = 3*u - f - 89, m*f = 3*u - 6*u + 101. What is the tens digit of u?
3
Let n = -4 - -9. Let d = n - -13. Let h = d + 12. What is the units digit of h?
0
Let z(c) be the second derivative of 0 + 2*c**2 + 1/2*c**3 + 1/12*c**4 - 4*c. What is the units digit of z(3)?
2
Suppose 3*f = 3*j + 6, j - 2*f + 4*f = 13. Suppose -j*b + 913 - 265 = 0. What is the tens digit of (b/20)/((-4)/(-10))?
2
Suppose 8*r - 3*v = 3*r + 201, 4*r - 177 = -3*v. Suppose -b - r = -4*b. Let s = 4 + b. What is the tens digit of s?
1
Let m(r) = 2*r**3 + 8*r**2 + 9*r + 4. Let b be m(-6). Let p = b - -399. What is the tens digit of p?
0
What is the hundreds digit of (-4)/6 + 103505/381?
2
Let g(i) = -i**2 + 14. Let n be g(0). Let m be (-4)/(-12) + n/3. Suppose -103 = -2*p - m*k, -150 - 42 = -3*p + 5*k. What is the tens digit of p?
5
Let o(i) = -10*i - 16. Let c(t) = t**3 + 6*t**2 - 8. Let h be c(-6). What is the units digit of o(h)?
4
Let o(j) = -2*j**3 - 7*j + 228. What is the units digit of o(0)?
8
Suppose 5*u - 3920 = u + 4*t, -5*u + 4*t + 4904 = 0. Suppose 0 = 9*z + 3*z - u. What is the units digit of z?
2
Suppose -2*m + 6 = 0, 1023 = y + 2*y - 3*m. What is the tens digit of (y/10)/((-10)/(-50))?
7
Let x be -3*(-6)/(-9)*-1. Let m = 2 + x. What is the units digit of m/(-6*(-8)/36)?
3
Let z(a) be the first derivative of -a**5/20 - a**4/3 + a**3 + 4*a**2 + 4*a - 6. Let q(h) be the first derivative of z(h). What is the tens digit of q(-6)?
4
Let r(o) = 15*o + 170. What is the units digit of r(23)?
5
Let o = -343 + 712. What is the hundreds digit of o?
3
Let z be 58/7 - 18/63. Suppose -z*u + 403 - 131 = 0. What is the units digit of u?
4
Let g be (16/20 - -1)*(-2 + -3). Let t = g + 81. What is the units digit of t?
2
Let l be 87 + (-12)/((-4)/(-1)). Let s be (1 - l)*(-3 - -4). Let x = s + 118. What is the tens digit of x?
3
What is the hundreds digit of 534/(-5)*(15/2)/(-3)?
2
Let m be (-6 - -24) + (-2)/1. Suppose -3*i = 4*x + 2*i + 51, x - 2*i + m = 0. What is the tens digit of (1*x)/(-2)*5?
3
Let v(o) = 7*o**2 - 12*o - 47. What is the units digit of v(12)?
7
Let q(a) = a**3 + 11*a**2 - 18*a - 23. What is the units digit of q(7)?
3
Suppose -6 - 1 = 4*r - 5*y, -2*r - y = -7. Let u(a) = 1 - 2*a - r*a**2 + 3*a**2 - 1. What is the units digit of u(4)?
8
Suppose -2725 = -3*d - 421. What is the tens digit of d?
6
Let h(s) = s**3 + 11*s**2 + 3*s - 24. Let n be h(-10). Let w = n + 78. What is the tens digit of w?
2
Suppose 4*g - 4 = 4. Suppose -g*a - 2*a + 104 = 0. What is the units digit of a?
6
Let q(u) = u**3 + 5*u**2 + 3*u + 2. Let i be q(-4). Suppose 0 = 4*x + 2*v - 32, 3*x - 2*v + i = 23. Suppose 3*l - x = 20. What is the units digit of l?
9
Suppose -28 + 94 = -3*p. Suppose 0 = -4*x + 3*v + 16, 4*v + 6 = -3*x - 7. What is the units digit of (x - p)*(-2)/(-2)?
3
Let p be -9 - 12/8*-2. Let o be 4*(-2 + (-15)/p). Suppose o*l - m = 24, 2*m - 5*m + 49 = 5*l. What is the tens digit of l?
1
Let m(v) = v**3 + 51*v**2 - 168*v - 153. What is the hundreds digit of m(-54)?
1
Let d be 15/12*8/1. Let f(c) = 11*c + 9. Let t be f(d). Suppose -5*y = -4*r - 27 + 156, -4*r + t = 5*y. What is the units digit of r?
1
Let w be (-1)/(-3 + 1 + 1). Let t = 9 + w. What is the units digit of 8 - t - (-20)/2?
8
Suppose 36*p - 13966 - 11018 = 0. What is the units digit of p?
4
Let n = -118 - -181. Let x = 118 - n. Let w = x + -21. What is the units digit of w?
4
Let j(m) = m**3 + 4*m**2 - 7*m - 5. Let f be j(-5). Suppose -k = -f*k + 28. Suppose 57 = 5*c + k. What is the units digit of c?
0
Let m be (-2)/(-3) + (-615)/(-9). Suppose 2*w + 11 - m = 0. Let l = w - 19. What is the units digit of l?
0
What is the tens digit of 1/(-6) - (1677/(-18) + 5)?
8
Let z(r) = r**2 + r + 2. Let x(v) = -4*v**2 + 1. Let k be x(2). Let c be k/(-6) + (-2)/4. What is the units digit of z(c)?
8
Let o(u) = 5*u**2 + 3*u - 2. Let c(d) = -d**2 + 10*d - 27. Let g be c(6). What is the tens digit of o(g)?
3
Let v be -3*15/(-9) + 1. Let x be 42/v - 4/2. Suppose -3*u - 10 = -x*u, u - 200 = -5*h. What is the units digit of h?
9
Suppose -2*q = -0*q - 30. Suppose -2*o - 2*y = 10, -3*y = -3*o + o + q. Suppose o = p - 10. What is the tens digit of p?
1
What is the thousands digit of 0 + 131055/55 + (-12)/(-66)?
2
Suppose 3*y - 138 - 342 = 0. What is the units digit of y/(-15)*(-5)/((-5)/(-6))?
4
Let l(o) = 47 - 19*o**2 + 37 - 16*o - o**3 - 2*o**2 - 130. What is the tens digit of l(-21)?
9
Suppose 0 = -5*a - 2*l + 31, 0 = 4*a + 4*l - 2*l - 24. Let h = a + -15. Let k(m) = -m**2 - 10*m - 10. What is the units digit of k(h)?
6
What is the tens digit of 4/(-3) + 2 + 1104842/258?
8
Suppose 9 = -3*b, -155 = -5*t - 4*b - 1312. Let y = 409 + t. What is the hundreds digit of y?
1
Let w(t) be the third derivative of t**4/3 - t**3/6 + 12*t**2. Let f = 2 + -1. What is the units digit of w(f)?
7
Suppose 0 = -7*n - 505 + 4642. What is the tens digit of n?
9
Let w = 441 + 1
|
{
"pile_set_name": "DM Mathematics"
}
|
*((k**(-15)/k)/k)/k)/(k/k**(-2/7))**(-14) assuming k is positive.
k**(11/4)
Simplify (u/u**(-5))/u*u**4*(u*u**(-1/16))/u**(1/23) assuming u is positive.
u**(3641/368)
Simplify (c**(-30)/(c*c**30*c))**(2/7) assuming c is positive.
c**(-124/7)
Simplify ((g**4/g)/g)**6/(g**(-6/7)*g*g/g**16) assuming g is positive.
g**(188/7)
Simplify (y**(-13)/y**(-3/2))/(y/(y**(4/5)*y))**(2/9) assuming y is positive.
y**(-1019/90)
Simplify ((a*a/a**(-6/13))/a*a*a**16)/(a/(a/(a/(a*a*a/(a*a/(a**(-22)*a)*a)*a))*a)*a**(-3/14)) assuming a is positive.
a**(-241/182)
Simplify (c**(-2/3)*c**(10/3)/c*(c*c**(-3)*c*c)**(2/33))**(-46) assuming c is positive.
c**(-230/3)
Simplify (l**(12/7)/(l/l**(-10/3)))/((l/((l**(-20)*l)/l))/l**(2/3)) assuming l is positive.
l**(-482/21)
Simplify (m**27/(m*m**(23/4)*m))/(((((m*m**(-1/6)*m)/m)/m)/m)/m)**(1/3) assuming m is positive.
m**(719/36)
Simplify (a**(-6))**(3/29)*(a**(-8/3))**(-2) assuming a is positive.
a**(410/87)
Simplify ((((b**(16/5)*b)/b)/b)/(b/(b/b**(4/7))))/(b*(b/(b*b**3/b))/b*b**12) assuming b is positive.
b**(-293/35)
Simplify ((o*o*o**(1/3))/o)/o**(6/11)*(o**4)**(-24/5) assuming o is positive.
o**(-3038/165)
Simplify (i**(1/5)/(i/(i**(3/11)/i)))/(i*i**(-20)*i/(i*i/(i/(i/i**(-8))))) assuming i is positive.
i**(1456/55)
Simplify (v**(-7/5))**(-5/4)*(v*v**(-2/39)*v*v)**(3/35) assuming v is positive.
v**(729/364)
Simplify (w/w**(-14))/w**(-13)*w**(-1/12)/w*w*w**(-10/11) assuming w is positive.
w**(3565/132)
Simplify (r*r**10)/r*r**(2/3)*(r/(r/((r*r**(-6)/r)/r)))**(-31) assuming r is positive.
r**(683/3)
Simplify b**(1/8)/(b/(b*b**(-9)*b))*b*b**(-10)*b*b**(-8/9) assuming b is positive.
b**(-1207/72)
Simplify o*(o*o/(o/o**(-3/16)))/o*o/o**3*o*o**(-5/8)*o**(-12) assuming o is positive.
o**(-205/16)
Simplify ((h**2/h)/(h**(3/2)*h))/(((h/((h/h**(-1/6))/h))/h)/h**(-2/3)) assuming h is positive.
h**(-2)
Simplify ((w**2)**(-1)*(w**(-2/7)/w*w)**(4/29))**(2/9) assuming w is positive.
w**(-92/203)
Simplify (p**14)**(-2)/(p**(1/2))**5 assuming p is positive.
p**(-61/2)
Simplify (((i*i**(1/6))**(2/21))**(-19))**(-9) assuming i is positive.
i**19
Simplify ((j/(j/j**(2/5)))**(-2/53)/(j**(-2))**(-22))**(2/19) assuming j is positive.
j**(-23328/5035)
Simplify ((((q*q*q**(-2/3)/q)/q)/q)**39*q**(-4/5)*q*q**(-2/5))**(-16) assuming q is positive.
q**(5216/5)
Simplify (c*c*c/(((c/c**(-1))/c)/c)*c*c)**(-2/85)/(c/c**(1/3)*c)**(-12) assuming c is positive.
c**(338/17)
Simplify ((l*l**(-1/7)*l)/(l**(3/8)/l))/(l**(-1)*(l/(l/((l*l**(-9))/l)))/l) assuming l is positive.
l**(755/56)
Simplify (x**(-2/31)*x**4*(x*x*(x*x*x**2*x*x)/x)**(-6))**(-13) assuming x is positive.
x**(15340/31)
Simplify ((f/f**18)**(3/2))**17 assuming f is positive.
f**(-867/2)
Simplify (((k**(2/3))**50)**(-22))**(-31) assuming k is positive.
k**(68200/3)
Simplify (p/(p*p**(-22)*p)*p/(p/(p*p**(2/21))*p))**16 assuming p is positive.
p**(7088/21)
Simplify (i**(-1/6)*i)/(i**(3/5)/i)*i/((i**(-8/3)/i)/i)*i**(5/6) assuming i is positive.
i**(116/15)
Simplify ((q**15/q)**(2/45))**36 assuming q is positive.
q**(112/5)
Simplify (h*h*h/(h**(-5/6)/h)*h*h)/((h**6*h)/h)*(h*h*h**(-14)*h)**(-43) assuming h is positive.
h**(2843/6)
Simplify ((j/j**(2/7)*j)/j)**46/(j/((j**(5/6)/j)/j))**23 assuming j is positive.
j**(-713/42)
Simplify (r/(r**15*r)*r)**(6/19)*(r**8)**(-3) assuming r is positive.
r**(-540/19)
Simplify (i*i**0*((i**(4/3)*i)/i)/i*((i/(i*(i/(i/i**8*i))/i))/i)/(((((i**4/i*i)/i)/i)/i)/i))**(2/77) assuming i is positive.
i**(-34/231)
Simplify (z*(z/z**(-1/2)*z)/z*z*z*z*z**(-12))/((z*z**11*z*z)/(z/z**(-8/5))) assuming z is positive.
z**(-179/10)
Simplify ((x/x**(-1))**(-40)/((x*(x/(x*x**(1/13))*x)/x)/(x**4/x*x)))**31 assuming x is positive.
x**(-31000/13)
Simplify (w**(13/4))**(3/11)/(w**(13/2)*w**21*w) assuming w is positive.
w**(-1215/44)
Simplify ((q**(2/27)/q*q)**39)**(35/3) assuming q is positive.
q**(910/27)
Simplify (((o/((o/o**(-10))/o))/((o**11*o)/o*o))**(-4))**13 assuming o is positive.
o**1092
Simplify (s/(s/((s/(s*s**9))/s)))/(s/(s**(-21)*s))*(s**(-4)/s*s)**22 assuming s is positive.
s**(-119)
Simplify (y**(-3/2))**(2/83)/((((y**0/y)/y)/y)/y**10) assuming y is positive.
y**(1076/83)
Simplify (b**0*b**38)/((b/(b/b**39))/b**(6/5)) assuming b is positive.
b**(1/5)
Simplify ((q**2*q*q**(-2/3)/q)**29)**(-44) assuming q is positive.
q**(-5104/3)
Simplify (h/(h/(h*h/(h**(-6/5)*h))))**(30/11)*(h**(-17)/h)/(h*h*h**(-1/4)) assuming h is positive.
h**(-55/4)
Simplify (d**9*d/d**(-11))/((d/d**(-5/8))/d*d**(-2/13)/d) assuming d is positive.
d**(2239/104)
Simplify (l**(1/3))**48*(l*l**(-2/7))**(-22/3) assuming l is positive.
l**(226/21)
Simplify (b**(-1/3)/b*b/b**2)/((b*b*b**(9/5)*b)/(b**(-6/11)/b)) assuming b is positive.
b**(-1432/165)
Simplify (b**7/b**(-1/14))/(b**16*b*b**(10/3)/b) assuming b is positive.
b**(-515/42)
Simplify (((g**3*g*g)/g)/g)**35/(g**(-1/28)*g*(g*g/(g*g**(7/6)*g*g)*g)/g) assuming g is positive.
g**(8921/84)
Simplify (p**(1/23)/p)/(p*(p*p**(1/15)/p)/p*p)*p**(-19)*p/(p*p/p**39*p) assuming p is positive.
p**(5512/345)
Simplify (g*g**(-4/5)*g**(2/5))/(g*(g*g**(-1/7))/g*g*(g/g**0)/g*g) assuming g is positive.
g**(-79/35)
Simplify ((q*q/q**25)/q)/(q**(-2/91)/q)*(q**(-3/2))**(-3/40) assuming q is positive.
q**(-166461/7280)
Simplify (p*p/p**(-8))/(p/(p**(-2/7)*p))*(p**(-1/6))**(-28) assuming p is positive.
p**(302/21)
Simplify ((c/(c/c**(-3/8)*c))/(c**10*c))/(c/c**(-6/7)*c**(14/5)) assuming c is positive.
c**(-4769/280)
Simplify (((g*g**11)/(g**(2/5)*g))/(g**(-3/8)*g/(g/((((g*g**6)/g*g)/g)/g))))**(-15/11) assuming g is positive.
g**(-717/88)
Simplify (b*b**(-2/69)*b**12*b)/(b*b**(-9)*b)**24 assuming b is positive.
b**(12556/69)
Simplify (k**2*k**18)/(k**(-1/16)*k*k**14*k*k) assuming k is positive.
k**(49/16)
Simplify (((y*y/(y*y/y**0))**(-18))**(-3/5))**48 assuming y is positive.
1
Simplify ((x*x**(-4))/(x**(2/9)/x)*(x**(-5)*x)/x*x**4/x)**39 assuming x is positive.
x**(-494/3)
Simplify ((k**(-14/3))**(2/63))**(2/63) assuming k is positive.
k**(-8/1701)
Simplify ((d**0/d)**(17/4)*(d**(-1/4))**(-1/3))**(-40) assuming d is positive.
d**(500/3)
Simplify ((b/b**22*(b/b**(-18))/b)**(10/17))**(1/52) assuming b is positive.
b**(-15/442)
Simplify (((g**(1/4))**0)**45)**(3/20) assuming g is positive.
1
Simplify j**1*j**(-10)/j*j/j**(-1/4)*j*j**6*j assuming j is positive.
j**(-3/4)
Simplify ((n*n*(n/(n*n/(n**(-10)*n)*n)*n)/n)/n**5)/(n*n**(-6)*n*n**(1/8)) assuming n is positive.
n**(-81/8)
Simplify z**(-8)/(z/z**(1/2)*z)*z/(z*z/(z/z**7)*z)*z**(-5) assuming z is positive.
z**(-45/2)
Simplify (s*s**16*s*s**(-21)/s)/(((s*s**(-16)/s)/s)/(s/(s*s*(s**20*s)/s))) assuming s is positive.
s**(-8)
Simplify h**8/h*h**(-2/7)/h*h**(-5/2)/(h*h/(h/(h*h**(-3/4)))*h) assuming h is positive.
h**(27/28)
Simplify (r*r**(-26)*r*(r/r**(-36))/r*r*r)**(-3/11) assuming r is positive.
r**(-42/11)
Simplify ((u**(-1/3)*u)/(u*u**6/u*u)*(((u*(u**(2/7)/u)/u)/u*u)/u*u*u)**7)**(2/81) assuming u is positive.
u**(-26/243)
Simplify (l**(-12))**13*l**(-33)/(l**18/l*l) assuming l is positive.
l**(-207)
Simplify ((((k/(k*k*k/(k*k**(-2/7))))/k)/k**(-2))/(k*k**(-2/5)*k)**21)**41 assuming k is positive.
k**(-48626/35)
Simplify ((g/(g/g**(-11)*g))/g*g**9)/((g**(-2/3)/g*g)/(g*g**(-2/9))) assuming g is positive.
g**(-23/9)
Simplify (((z/(z/(z*z**(-11)*z)))/z)/z)/z*z*(z/(z/(z/z**(4/15))))/z*(z**(-2)/z)**(-14) assuming z is positive.
z**(461/15)
Simplify q**(-8/7)*q**(2/11)*(q*q*q/q**(-1/8))/q**(-3/10) assuming q is positive.
q**(7589/3080)
Simplify (y**3/y**2*(y/y**(-1))**(-20))**(-8/5) assuming y is positive.
y**(312/5)
Simplify ((z*z**(-11))/z*z*z*z*z/((z/(z**13*z))/z))/(z**(-1/5))**14 assuming z is positive.
z**(49/5)
Simplify (((o**2)**(-1/22))**(-34/9))**(-28) assuming o is positive.
o**(-952/99)
Simplify (b**3*b**(2/25))/(b*b/b**(-2/9))**(-1/9) assuming b is positive.
b**(6737/2025)
Simplify ((l**4*l**13)**(1/7))**(2/103) assuming l is positive.
l**(34/721)
Simplify (z**(-5/2)*z)**(-47)*z**(-2/9)*z**(-4/5) assuming z is positive.
z**(6253/90)
Simplify (((z**(-3/4)/z)/(z**(-1/2)/z*z))**(-8))**(-1/8) assuming z is positive.
z**(-5/4)
Simplify ((n*n**17)/n**(-1/4))/(n**16/n**(-4)) assuming n is positive.
n**(-7/4)
Simplify ((w**10/w*w*w*w**8/w)/(w/w**9*w*w*w/((w**9/w)/w)))**48 assuming w is positive.
w**1440
Simplify (((x**(-2/9
|
{
"pile_set_name": "DM Mathematics"
}
|
.37
Calculate 0.4 + 12042861122.
12042861122.4
Sum -62.8 and 0.0441586216329.
-62.7558413783671
-4771045 + -72721
-4843766
What is 383165 take away -346629.1?
729794.1
Put together 717749 and 0.050366915.
717749.050366915
Total of 2066917133 and 126.
2066917259
Add together 3077953 and -31050.89.
3046902.11
Add -903 and 26011868278.
26011867375
Add 32179091311 and 5.8.
32179091316.8
What is the difference between -1609.9 and 88548464638?
88548466247.9
What is -0.4 plus -405685889713?
-405685889713.4
What is 489732085 + 46281?
489778366
Put together 1728297825 and -119.
1728297706
What is the distance between 457.36561 and 17713?
17255.63439
-3+0.990210922509
-2.009789077491
Sum 10682 and 493183176.
493193858
What is the difference between -157862 and -158880.5?
1018.5
What is 427 minus 166308953623?
-166308953196
Add 0.121 and -14055.140306.
-14055.019306
Work out 37.24675 + -92852.
-92814.75325
Work out -0.018187042596117 + 0.01.
-0.008187042596117
What is 5582639 minus 22.266?
5582616.734
Calculate 0.067069625225 - 1.77.
-1.702930374775
Put together -0.2 and -12474315574.7.
-12474315574.9
What is -4348908 less than -0.19108?
4348907.80892
Work out 13.61264 + 6283.43861.
6297.05125
What is 454.39173 + -69307?
-68852.60827
-4.16577194 + -1191
-1195.16577194
Add -229 and 70393.71615.
70164.71615
What is -5831294.32 plus -130?
-5831424.32
Add together -0.6 and 104497034618.
104497034617.4
What is the difference between -0.012 and -507424485496?
507424485495.988
-42 - -9192354.111
9192312.111
What is the difference between 5 and -593727456915?
593727456920
What is the distance between 0.1 and 98411167650001?
98411167650000.9
Add together 646042664 and 8604.
646051268
-0.8538 - -238129552
238129551.1462
What is -1.081356 + -60099482?
-60099483.081356
Calculate -79643165 + 12091.
-79631074
Subtract -39195518875 from -11.
39195518864
Add together 4039941814545 and 0.004.
4039941814545.004
Sum -27916445 and -3675.
-27920120
Total of -1094709699 and -6807.
-1094716506
Work out -2267.942 + -180373.
-182640.942
What is the distance between -193475.12495 and 0.02?
193475.14495
Add together -5032 and -3881529.787.
-3886561.787
What is the difference between -2 and -13336182816?
13336182814
What is 39.773 take away 8039283027?
-8039282987.227
What is the distance between -1 and 3853265533983.2?
3853265533984.2
Work out 485477 + -45.751052.
485431.248948
Total of 1207.56746374 and -0.3441.
1207.22336374
What is -0.29021135967 less than 4509?
4509.29021135967
Subtract -726522314.74 from 11.
726522325.74
What is the distance between -11258912 and 83614.7?
11342526.7
Add 3 and 42420931089.6.
42420931092.6
Subtract 34243530275 from -5.
-34243530280
Calculate -1990510501 + -938.
-1990511439
Sum -51298 and 9222530.
9171232
What is -1335947721 plus 8.8?
-1335947712.2
Subtract 30281498072 from -8.293.
-30281498080.293
Add 203 and -0.004538053694.
202.995461946306
8.2 - -12405.9895633
12414.1895633
Work out -123 - 1545418.719559.
-1545541.719559
What is 214478 take away 21.7564?
214456.2436
Calculate 34.51 + 95895.52.
95930.03
What is 182559503802 + 0.5?
182559503802.5
Total of -3565462165.8 and -10.6.
-3565462176.4
-16.29838+-0.267509
-16.565889
Subtract 103920 from -3563937.729.
-3667857.729
Calculate -25.283 - -7011328.
7011302.717
Work out 13.2 - -22953631.3.
22953644.5
What is 238.4629 less than -1134504?
-1134742.4629
Work out -12625 + -22692748.
-22705373
Calculate 4 - 14334211376.
-14334211372
What is -26.39 - 15237436?
-15237462.39
Work out -41476 - 13343347.
-13384823
Subtract 746901 from -104210830.
-104957731
Add together 129061909.479 and 2.9.
129061912.379
203841.8 - 619861
-416019.2
Total of 1286498 and -0.0199575.
1286497.9800425
Add -18.9512 and 0.06710584.
-18.88409416
What is -547679478657 minus 3?
-547679478660
Add together -32020815633 and 4504.
-32020811129
What is the difference between 8719.9069022 and -0.05?
8719.9569022
Add together -8735147156722 and -0.5.
-8735147156722.5
536+-714006228357
-714006227821
Work out 6549078.7 - 246.
6548832.7
What is 3 less than 20303380977109?
20303380977106
What is 1.77 + -1154108.1602?
-1154106.3902
What is -45161107344 - 0.3727?
-45161107344.3727
Calculate -0.3 + 3333214771209.
3333214771208.7
What is -8.474 minus 6476978?
-6476986.474
Work out -0.1643 + 9938546.
9938545.8357
Subtract -5833967429655 from 0.5.
5833967429655.5
What is -4327003748463 minus -132?
-4327003748331
Total of -659 and -46880845.
-46881504
Subtract 6976315 from 771.305.
-6975543.695
What is -26022 take away 4133048?
-4159070
Subtract -13.8047903625307 from -0.2.
13.6047903625307
62355257 + 27733
62382990
Add together 755503.8 and 576.11.
756079.91
960 - 5896620.6
-5895660.6
Work out -2686557.426674 - -0.148.
-2686557.278674
What is the distance between -331884629514 and 2?
331884629516
What is 543180 plus 1348977?
1892157
Calculate -0.055 + 2545942.218.
2545942.163
Calculate 0.7 + -238826175255.
-238826175254.3
26582722 + -6619
26576103
Put together -119.70707635 and -3.
-122.70707635
Add 0.3 and -286.263596817.
-285.963596817
719847415763 - 100
719847415663
Calculate -26679978 - 20.91.
-26679998.91
Sum -6093338109 and -0.073.
-6093338109.073
Add -403041435884599 and -3.
-403041435884602
Work out -774.6874 - -3110684.
3109909.3126
Sum 1.1 and 688.209083449.
689.309083449
What is 0.016030330157 less than -0.3?
-0.316030330157
What is the distance between 261495148 and -2.543141?
261495150.543141
What is -3649301583 - -66?
-3649301517
Work out -0.5 - 123292113498.
-123292113498.5
-0.3 + 11744268040
11744268039.7
Calculate -320208991386 - 3.
-320208991389
Sum -0.1935 and -89892748705.
-89892748705.1935
Work out -0.002 + -6921364691.
-6921364691.002
Work out 307.338 + -3099825.
-3099517.662
-150653403321+-79
-150653403400
Calculate -13.792308 + -78090.
-78103.792308
Total of 3.924 and 17120594.
17120597.924
Calculate 550676.120845 - 17.
550659.120845
Add together -16 and -5167466870.
-5167466886
Total of 0.5 and -24.910390947.
-24.410390947
What is 3 less than 615543253378?
615543253375
Add 20986737 and -0.422.
20986736.578
What is 2 less than -51500.029939?
-51502.029939
What is 2173 - -1717026227?
1717028400
Total of -23504867187.4 and -654.
-23504867841.4
What is -2240471730198 take away -5?
-2240471730193
Calculate -40922.69 + -0.21109253.
-40922.90109253
Add together 0.09 and -10646019249.6.
-10646019249.51
What is the difference between 23390 and 485894845?
485871455
34251801.6 + 3912
34255713.6
What is the distance between 22.65 and 61600.31467?
61577.66467
Work out -64.9028647 + 1097761.
1097696.0971353
Sum -68969201 and 1025.
-68968176
Calculate -1860 + -5584.90944.
-7444.90944
Add -1394 and -16732556866.
-16732558260
What is -3 plus -244557444677?
-244557444680
What is the difference between 900774234.673 and 2?
900774232.673
Calculate 1834 + -53662.893.
-51828.893
Calculate -38461654902.28 - -3.
-38461654899.28
What is 208843905 less than 654?
-208843251
Put together 189.3 and 0.37225507.
189.67225507
Subtract 2307253794 from 9287.
-2307244507
Total of 0 and -0.0513772147625.
-0.0513772147625
Work out -90326244200.65 + 0.03.
-90326244200.62
Add together -176113.89 and 167864.
-8249.89
369231791 + 1084857
370316648
-11433+0.4470817
-11432.5529183
Add together 4 and 22642.217946.
22646.217946
-2021582440648.2 - -2
-2021582440646.2
What is -90560 - 971921.37?
-1062481.37
Add -0.1466 and -4860820773.
-4860820773.1466
Add together 3 and -1910.61574207.
-1907.61574207
Add 23.9312 and -0.247699517.
23.683500483
-0.313+-16244443423
-16244443423.313
What is 1.773 less than 16591245.53?
16591243.757
Put together 9.842 and -25429674.
-25429664.158
Put together 1407685 and -7015802.
-5608117
What is -3.26286310605 minus 0.18?
-3.44286310605
Add -1022985.7 and 4.24888.
-1022981.45112
What is 4227122.805 less than 0.25?
-4227122.555
Put together -1990842 and -21.6319084.
-1990863.6319084
What is the difference between 1.9458 and -66007.81?
66009.7558
Work out -1161 - -118865168200.
118865167039
Put together -576867223.269131 and -1.
-576867224.269131
What is the difference between 5 and -58326099824?
58326099829
Calculate 1.65 + 0.0048649404511.
1.6548649404511
Calculate -611568.7 - -0.348822.
-611568.351178
Calculate 0.022 - -137.851
|
{
"pile_set_name": "DM Mathematics"
}
|
))*-3.
-5
Simplify (sqrt(68) + (sqrt(68) - 2*sqrt(68))*-3)/sqrt(4).
4*sqrt(17)
Simplify 1 + sqrt(540)/sqrt(12).
1 + 3*sqrt(5)
Simplify (-2 + sqrt(22)/sqrt(2) - -5*(sqrt(33)/sqrt(3))**2) + 5.
sqrt(11) + 58
Simplify (sqrt(68) + (sqrt(68) - -1*sqrt(68)*-3) + sqrt(68))/sqrt(4) - (sqrt(17)*-1*4 + -2)**2.
-276 - 16*sqrt(17)
Simplify -2*(-4 + sqrt(2736) - sqrt(2736))**2.
-32
Simplify (sqrt(200)*2)**2 + sqrt(162)*1.
9*sqrt(2) + 800
Simplify ((sqrt(112)/sqrt(144) - sqrt(28))/sqrt(4))**2.
175/36
Simplify ((sqrt(448)*1)/sqrt(8))/sqrt(8).
sqrt(7)
Simplify ((-1*(sqrt(11) + sqrt(44)) + sqrt(11) - sqrt(11)) + (sqrt(176)*-1 + sqrt(176) - sqrt(176)) + sqrt(176))**2.
99
Simplify -1 + (sqrt(275) + 1)*5.
4 + 25*sqrt(11)
Simplify (sqrt(50)/(-1*sqrt(10) - sqrt(10)) - (-1*sqrt(40) + sqrt(40))/sqrt(8))**2 - (sqrt(10)/sqrt(18) + sqrt(720)*-1).
5/4 + 35*sqrt(5)/3
Simplify (-4*sqrt(208)*-1)**2.
3328
Simplify 5*(3*1*sqrt(1088) + -5)**2.
-1200*sqrt(17) + 49085
Simplify sqrt(104)/sqrt(8) + 0 + (-1*sqrt(39))/sqrt(3).
0
Simplify (sqrt(68)/(1*sqrt(576)) + -4*(sqrt(102)*2 - sqrt(102))/sqrt(6))**2.
37553/144
Simplify (6*(-2 + sqrt(684)*-1)*-4)**2.
13824*sqrt(19) + 396288
Simplify (2 + sqrt(2299))**2 + 4.
44*sqrt(19) + 2307
Simplify -1 + (sqrt(1700)*-2 - sqrt(17)) + -2 + 0 + sqrt(17).
-20*sqrt(17) - 3
Simplify -5 + sqrt(600)/(-1*sqrt(12)) + 0 + sqrt(6050).
-5 + 50*sqrt(2)
Simplify (-3*sqrt(1980))/sqrt(5).
-18*sqrt(11)
Simplify (sqrt(65)/sqrt(5) + 1 + sqrt(351)/sqrt(3))**2.
8*sqrt(13) + 209
Simplify (-2*(sqrt(1008) - (sqrt(1008) + -2 + 4) - sqrt(1008)))**2.
192*sqrt(7) + 4048
Simplify (sqrt(1024) - sqrt(1024)*3)/(2*sqrt(72)).
-8*sqrt(2)/3
Simplify sqrt(130)/(sqrt(90)*-1) - (-4 + sqrt(39)/sqrt(3) - (sqrt(325) + 0 + sqrt(325)))**2.
-1069 - 217*sqrt(13)/3
Simplify (sqrt(684) - 3*(1 + sqrt(684) + sqrt(684))) + 5 + sqrt(684) + -1.
-24*sqrt(19) + 1
Simplify -4 + 0 + sqrt(45) - (sqrt(135)/sqrt(3) + sqrt(45))*-6.
-4 + 39*sqrt(5)
Simplify -1 + (sqrt(76) - (3 + 2 + sqrt(76)))**2.
24
Simplify -5 + (sqrt(11) + (sqrt(11) + sqrt(44))*-2 - sqrt(11)).
-6*sqrt(11) - 5
Simplify (sqrt(255)/sqrt(5)*-1)/sqrt(3).
-sqrt(17)
Simplify (-1*(-3 + sqrt(1584)*1*-6))**2.
432*sqrt(11) + 57033
Simplify (5 + sqrt(13) + sqrt(104)/sqrt(32))*-6.
-9*sqrt(13) - 30
Simplify ((1 + sqrt(396))**2 + 0)*-1.
-397 - 12*sqrt(11)
Simplify (sqrt(1700) + sqrt(1700) + (-1*-1*sqrt(1700) - sqrt(1700)) - sqrt(1700))*-4.
-40*sqrt(17)
Simplify ((1 + sqrt(1100))*-6 + sqrt(1100) + sqrt(1100) + sqrt(1100) + 1 + sqrt(1100) + sqrt(1100) + -1)**2.
120*sqrt(11) + 1136
Simplify -5*(-4 + -4*-2*sqrt(5))**2.
-1680 + 320*sqrt(5)
Simplify sqrt(2299) - (sqrt(2299) - (5 + 1 + sqrt(2299))).
6 + 11*sqrt(19)
Simplify (sqrt(42)/(sqrt(7)*1))/sqrt(3) - sqrt(20)/(sqrt(110)/(sqrt(22)/sqrt(2))).
0
Simplify 1 + (1 + sqrt(1584))**2 + 2.
24*sqrt(11) + 1588
Simplify 1 + 0 + (sqrt(17) - 5*sqrt(17))**2.
273
Simplify (sqrt(55)/(sqrt(5) + -1*sqrt(45)/sqrt(9) - sqrt(5)) + 0)**2.
11
Simplify (((sqrt(448) + -1*sqrt(448))*2 - (sqrt(448) + (-1 + sqrt(448))*1))*-4)**2.
-512*sqrt(7) + 28688
Simplify -1*(sqrt(1900) - (2*sqrt(1900) + 4 - sqrt(1900))).
4
Simplify (2*-1*sqrt(35)/sqrt(5))**2.
28
Simplify (-3 + 2 + sqrt(208) + 3 + sqrt(208))**2.
32*sqrt(13) + 836
Simplify 6*3*-1*sqrt(720).
-216*sqrt(5)
Simplify (sqrt(187) - 2*(sqrt(187) + (-2*sqrt(187) - sqrt(187) - sqrt(187))))/(-4*sqrt(396)).
-7*sqrt(17)/24
Simplify 6*(sqrt(176) + -4).
-24 + 24*sqrt(11)
Simplify ((sqrt(252) + -3 + sqrt(252) - sqrt(252))*4)**2.
-576*sqrt(7) + 4176
Simplify (((sqrt(120) - sqrt(120)*-1) + sqrt(120))/sqrt(3))/(sqrt(88)/(2*sqrt(11) - sqrt(11))).
3*sqrt(5)
Simplify (sqrt(170) + sqrt(170) + sqrt(170)*-1)/sqrt(10) - (3 + sqrt(17) + 0).
-3
Simplify (-1*-2*sqrt(156))/(sqrt(432)*2).
sqrt(13)/6
Simplify (-2*sqrt(7) + sqrt(7))*-1 - (sqrt(7) + -5 + sqrt(7) + -1).
-sqrt(7) + 6
Simplify sqrt(4)/(sqrt(2) - (sqrt(2) + sqrt(648))).
-sqrt(2)/18
Simplify (1*(sqrt(19)*-2 - sqrt(19)) - sqrt(19) - (-5 + 1 + sqrt(19)))**2.
-40*sqrt(19) + 491
Simplify ((sqrt(35) - (2*sqrt(35)*2 + sqrt(35))) + sqrt(35))/(sqrt(7) - (sqrt(567)*-2 + sqrt(567))).
-3*sqrt(5)/10
Simplify (sqrt(153)*2*-3)/(sqrt(45)/(sqrt(80) - sqrt(5))).
-18*sqrt(17)
Simplify -6*(sqrt(720) + (sqrt(720) - (sqrt(720) + 0))**2 + 5).
-72*sqrt(5) - 30
Simplify (sqrt(637) + -3)*3.
-9 + 21*sqrt(13)
Simplify sqrt(1008) + (sqrt(1008) + sqrt(1008) + 0 + 2 - sqrt(1008))**2 + 5.
60*sqrt(7) + 1017
Simplify ((sqrt(200) - (sqrt(200) - sqrt(200)*1)) + sqrt(50))/((2*sqrt(70))/sqrt(7)).
3*sqrt(5)/2
Simplify (sqrt(204) + -1*sqrt(204) + sqrt(204) - sqrt(204))/sqrt(12) + 1.
1
Simplify -2 + 3 + (sqrt(171)/sqrt(144))**2.
35/16
Simplify (sqrt(1584) + (sqrt(1584) + 1)**2 + -2)*-6.
-9498 - 216*sqrt(11)
Simplify (-1*sqrt(684)*2)**2.
2736
Simplify 4*((sqrt(68) + -1 + -2)**2 - sqrt(68)) + 1.
-56*sqrt(17) + 309
Simplify (-4*(5*(sqrt(7) - sqrt(35)/sqrt(5)) + sqrt(7)))**2.
112
Simplify (5 + (-1 + sqrt(288) - sqrt(288))**2)*-6.
-36
Simplify sqrt(49)/(sqrt(7) - sqrt(1575)).
-sqrt(7)/14
Simplify -5*(-1 + sqrt(468)) + (sqrt(468) - (sqrt(468) + -6*(-1 + sqrt(468))))**2.
-462*sqrt(13) + 16889
Simplify (0 + (sqrt(19) - (-1 + sqrt(19))))**2 + (sqrt(19) + sqrt(38)/sqrt(2))*6.
1 + 12*sqrt(19)
Simplify (((sqrt(704) + 1 - sqrt(704)) + sqrt(704))*-4)**2.
256*sqrt(11) + 11280
Simplify sqrt(34)/(-2*sqrt(2) - sqrt(2)) + 1.
-sqrt(17)/3 + 1
Simplify 2 + (1*sqrt(52)/sqrt(4) - sqrt(13))*3.
2
Simplify (sqrt(30) + sqrt(30) + (sqrt(30) - (sqrt(90) + (sqrt(90) + 3*sqrt(90) + sqrt(90) - sqrt(90) - sqrt(90)) + sqrt(90))/sqrt(3)))/(-5*sqrt(60)/sqrt(6)).
2*sqrt(3)/5
Simplify (-4*(sqrt(1216)*1 + sqrt(1216) - sqrt(1216)))**2.
19456
Simplify (sqrt(240)/(sqrt(40)/sqrt(5)))/((3*sqrt(100))/sqrt(10)).
sqrt(3)/3
Simplify (6*sqrt(108)/sqrt(4))**2.
972
Simplify (sqrt(5) + (sqrt(5) + -1)*3)**2 + sqrt(5) - (sqrt(45) + sqrt(45) + sqrt(45) + 0).
-32*sqrt(5) + 89
Simplify sqrt(35)/(sqrt(28)/sqrt(4)*-2) + 2.
-sqrt(5)/2 + 2
Simplify 3*(2 + sqrt(13))*-5.
-15*sqrt(13) - 30
Simplify ((sqrt(1100) + -2)*6 - sqrt(1100) - (-1 + sqrt(1100) + -1))**2.
-800*sqrt(11) + 17700
Simplify ((-4 + 3 + sqrt(2736))*5)**2.
-600*sqrt(19) + 68425
Simplify 1 + (sqrt(68)/sqrt(4) - sqrt(17))**2 + 4.
5
Simplify (-3*2*sqrt(13)*-2)**2.
1872
Simplify -5*-5*(sqrt(13) + -1).
-25 + 25*sqrt(13)
Simplify 1 + (3 + sqrt(5)*1 - sqrt(5)) + 1.
5
Simplify (-5 + -2 + sqrt(475))**2.
-70*sqrt(19) + 524
Simplify (3*(sqrt(128) - (-3*sqrt(128) + sqrt(128))))**2 + 2.
10370
Simplify ((sqrt(130)/(sqrt(15)/sqrt(3)))/sqrt(2))**2.
13
Simplify (sqrt(48)/sqrt(200))/(sqrt(98)*-2).
-sqrt(3)/70
Simplify (sqrt(80) + 1 + sqrt(80) + 0)**2.
16*sqrt(5) + 321
Simplify 3*sqrt(28) - sqrt(63)/sqrt(81).
17*sqrt(7)/3
Simplify 1*sqrt(38)/(sqrt(128) - -1*sqrt(128)).
sqrt(19)/16
Simplify -6*sqrt(1900)*2.
-120*sqrt(19)
Simplify sqrt(28)/(sqrt(20)/sqrt(5))*-1.
-sqrt(7)
Simplify sqrt(80) + 2 + (4 + sqrt(320))**2.
68*sqrt(5) + 338
Simplify (4*(1 + sqrt(1539))*-2)**2.
1152*sqrt(19) + 98560
Simplify (-4*(sqrt(7) + 1) + sqrt(224)/sqrt(8))**2.
16*sqrt(7) + 44
Simplify -2 + sqrt(72)*-1.
-6*sqrt(2) - 2
Simplify ((sqrt(245) - (0 + sqrt(245)))*2 + sqrt(245) + sqrt(245) + sqrt(245) + 1 + sqrt(245) + 1 + -1)**2.
56*sqrt(5) + 3921
Simplify ((3*sqrt(343)*-3 + sqrt(343))*5)**2.
548800
Simplify ((sqrt(80)*2)/sqrt(4))/sqrt(4).
2*sqrt(5)
Simplify sqrt(539)*-1*-4 + 4.
4 + 28*sqrt(11)
Simplify 0 + sqrt(320)*-3 + (2*sqrt(320)*-1)**2.
-24*sqrt(5) + 1280
Simplify 1 + sqrt(2) + -2 - (sqrt(98) + 0).
-6*sqrt(2) - 1
Simplify 4*(-3 + sqrt(704) + sqrt(704) + -5)**2.
-1024*sqrt(11) + 11520
Simplify (sqrt(18)/sqrt(3) + sqrt(6))/sqrt(2) + -4 + -3.
-7 + 2*sqrt(3)
Simplify 0 + -1 + sqrt(33)/sqrt(3) + sqrt(176) + 1 + 2.
2 + 5*sqrt(11)
Simplify ((-5*sqrt(171)*2 - sqrt(171)) + sqrt(171) + sqrt(171) + 1 + 2)**2 + -4.
-162*sqrt(19) + 13856
Simplify (-2*sqrt(228)*2)/(sqrt(144)/(sqrt(60)/sqrt(5))).
-4*sqrt(19)
Simplify (4 + sqrt(33)/sqrt(3) + (sqrt(121)/sqrt(99) - sqrt(11)))*-2.
-8 - 2*sqrt(11)/3
Simplify -2*((-2*sqrt(605) + sqrt(5) + 0 + sqrt(125))**2 + 2).
-2564
Simplify (sqrt(1815)*1)/(-1*sqrt(5)*1).
-11*sqrt(3)
Simplify (sqrt(637) + 4 + (sqrt(637) - (sqrt(637) - (sqrt(637) + 0 + sqrt(637) + sqrt(637)))))**2 + -4*sqrt(637)*-1.
252*sqrt(13) + 10208
Simplify sqrt(85)/(sqrt(15)/sqrt(3))*1.
sqrt(17)
Simplify (sqrt(130)/(1*sqrt(40)) + -2)*2.
-4
|
{
"pile_set_name": "DM Mathematics"
}
|
(-76)/(-80)*6.
110
Let n be (-14)/28*24964/(-14). Let z = -897 + n. Calculate the common denominator of ((-44)/(-40))/(16/(-10)) and z.
112
Let t(f) = 2*f + 94. Let h(j) = -j + 3. Let y(z) = 5*h(z) - t(z). Calculate the smallest common multiple of 55 and y(-17).
440
Let u = 31257 + -5845029/187. Calculate the common denominator of -39/34 and u.
374
Let c(u) = -4*u + 2. Let x be c(-4). Suppose -3*t - 5*y + 66 = 0, -2*t + 9 = -5*y - 10. What is the lowest common multiple of t and 1 - 4 - (9 - x)?
102
Suppose 0 = 2*f + 17 - 59. Suppose -12*g - 27 = -87. Suppose -4*n + 2*n - 197 = -g*i, -n + 77 = 2*i. Calculate the least common multiple of i and f.
273
Let h(y) = -2*y - 13. Let v be h(-2). Let o(u) = 32*u + 324. Calculate the smallest common multiple of 12 and o(v).
36
Let m be 14/8 + (-3)/4. Let l be 24/(-2892)*(2 - (m + 2)). Let d = 946/2169 + l. Calculate the common denominator of d and -31/24.
72
Suppose 67077 + 6423 = 21*b. Calculate the smallest common multiple of b and 14.
3500
What is the smallest common multiple of 2916 and (-21)/18*(-40)/14*(-12)/(-5)?
5832
Let k(q) = 23*q**2 - 28*q - 1. What is the least common multiple of 28 and k(3)?
1708
Let v(s) = -245*s - 8112. Calculate the least common multiple of v(-36) and 590.
3540
Let o be (-3868)/40 - (-3)/(-6). Let t = o + 2199/20. Let j = -5917/5 - -1178. Calculate the common denominator of j and t.
20
Let g = 806 + -666. Calculate the lowest common multiple of g and 175.
700
Let b = -31121/4020 - -694/67. What is the common denominator of b and 2/6 + 272/66?
660
Let a = -5/76118 + 91004561/837298. Let n = a + -785/7. Calculate the common denominator of n and 47/15.
165
Let t(y) = y**2 - 11*y - 1. Let w be t(11). Find the common denominator of -115/6 and 30/360*(w + 149).
6
Find the common denominator of 10745/5250 - 2/12 and -56/1675.
1675
Let g = 20260 - 20257. What is the lowest common multiple of 2182 and g?
6546
Let j = -2231317/95524564 - -73/23953. What is the common denominator of j and 81/4?
3988
Let a be (-671615)/(-168) - 5/(-10). Let b = a - 3999. What is the common denominator of -55/78 and b?
312
Let g be 4/(-4) - -61 - 1. Let z = g - 107. Let r = z + 54. Calculate the smallest common multiple of r and 1.
6
Suppose -300*i - 6 - 34 = -302*i. What is the least common multiple of i and 64?
320
Suppose 9443 = 11*a - 15209 - 4443. Calculate the least common multiple of 4 and a.
10580
Suppose 12*r - 156 = 16*r. Let j = 139 - 92. Let n = j + r. What is the lowest common multiple of 14 and n?
56
Suppose 0 = -2*d - 0*d - 4*w - 460, -3*d = -w + 690. Let m = d + 151. Let h = -61 - m. What is the least common multiple of 6 and h?
18
Let l(x) be the third derivative of 17*x**5/30 - 5*x**3/3 + 12*x**2. Calculate the lowest common multiple of l(-2) and 14.
126
Suppose -d - 10 - 4 = 2*y, 0 = -2*d + 3*y - 35. Calculate the common denominator of (-134)/d + (5 - 11) and -45/32.
32
Let r be 3/3 + -148 - 145/(-29). Let n = -28 - r. Calculate the smallest common multiple of n and 21.
798
Let i(a) = 7*a + 66. Let w be i(-9). Suppose w*l - 27 - 33 = 0. What is the smallest common multiple of 20 and l?
20
Let o = 9535895/202037604 + -2/202849. Find the common denominator of o and 73/24.
1992
Find the common denominator of -10 + 2 + 0 - (-2902)/350 and -167/1050.
1050
What is the common denominator of 11/90 and (-1)/(-30)*9797/291?
90
Let a = 152821/6 + -25487. What is the common denominator of a and 131/2130?
2130
Let c be 60/(4 - -1)*3/(-6). Find the common denominator of 8680/1008 + 16/c and 62/27.
54
Let h be 1*5/(-1) + 193. Let w = h + -168. What is the lowest common multiple of w and 106?
1060
Let f(g) = -g**3 + 14*g**2 + 10*g - 3. Suppose -2*p - 3*r + 7 = 0, -3*p + 3*r + 26 = -2*p. Calculate the least common multiple of f(p) and 8.
1880
Suppose 7*j + 35 = 2*j + 5*r, 0 = 5*j + 5*r + 15. Find the common denominator of j/2 + 1314/144 and -1 + (-73)/22 - -1.
88
Let m be (81/(-36))/(6/16). Let p = -24 - -34. Calculate the smallest common multiple of p and ((-4)/(-1))/(m/(-9)).
30
Suppose -4 = 4*r - 5*z, z = -r + 3 + 5. Suppose -6*c - r*c = -21290. Let u = c - 16949/8. What is the common denominator of -43/3 and u?
24
Let r = 33735001/696 + -48470. Find the common denominator of -46/9 and r.
2088
Let p = -22516 - -157622/7. What is the common denominator of p and -73/540?
3780
Suppose 2*x - 39*j - 178 = -40*j, 342 = 4*x - 5*j. Let g = 159 - 155. Calculate the smallest common multiple of x and g.
88
Let z be (111/(-2))/((-33)/22). Suppose -2*v - 4*c + 18 = -0*v, z = 5*v + 2*c. Let k(l) = 3*l**2 + l + 1. Calculate the least common multiple of v and k(-3).
175
Let r(o) = o**3 - 13*o**2 - 22*o + 6. Let k be r(15). Suppose 0 = 108*h - 105*h - k. Calculate the smallest common multiple of h and 54.
378
Suppose -22*d - 357 = -489. Calculate the lowest common multiple of d and 309.
618
Let y(k) = 45*k - 322. Let v be y(8). Suppose 3*c - i = v, -5*c + 2*c - 5*i = -8. Calculate the lowest common multiple of c and 22.
22
Suppose -53509 = -229*y - 105*y + 423443. Calculate the lowest common multiple of y and 672.
11424
Let a = -1021 - -215. Let z = -2/16183 + -372041/1359372. Calculate the common denominator of (-20)/25 + 1/(180/a) and z.
252
Suppose 4*d - 98 = 2*n + 3*n, 92 = -5*n + d. Let o = n - -18. Suppose 5*a = 2*c - 15 - 31, 5*c - 2*a - 94 = o. What is the lowest common multiple of 21 and c?
126
Suppose -19*f + 26 = -6*f. Suppose -n + 13 = 4*a, 5*n - f*n = 3*a - 6. Calculate the smallest common multiple of 18 and n.
18
Suppose 0 = -3*u + 5*h - 198, 2*u + 0*h = 4*h - 130. Let a = 74 + u. Calculate the common denominator of 1*34/12*a and -47/24.
24
Let g be (13045328/(-84))/((360/(-21))/4). Let q = -36235 + g. What is the common denominator of q and 2/3?
45
Suppose -5*g + 4*z = 60, 4*z - 6*z + 10 = 0. What is the lowest common multiple of 4 and 65/5 + -7 - g?
28
Let z(u) = -248*u**2 + 34*u + 86. Let c be z(-12). Let s = -2306227/64 - c. Find the common denominator of s and 149/96.
192
Let f(o) be the third derivative of 7*o**3 - 36*o**2 + 0*o + 0 - 1/6*o**4. What is the least common multiple of 33 and f(8)?
330
Let c(n) = 28*n + 1026. Calculate the smallest common multiple of c(-24) and 59.
354
Let r = 697031/983976 - 2/40999. Calculate the common denominator of (-28)/(-12)*26/(-16) and r.
24
Let n be (1 - 0) + 0 + 1. Suppose 5*g - 4*c = -0 + 32, n*c + 14 = 2*g. Let a = -251 - -264. Calculate the least common multiple of g and a.
52
Let d = 515981 + -356027003/690. Let a = d - -3/23. Calculate the common denominator of a and 0/2 + 140/18.
90
Let b = -42 + 44. Suppose -19 = -y - 2*t, -4*y + 2*y + b*t + 26 = 0. What is the least common multiple of 24 and y?
120
Suppose 0*o = -5*o - 245. Let h = o - -82. What is the least common multiple of 0 + -3 + 2 - -16 and h?
165
Let r(w) = 2*w + w**2 + 0*w + 5 - 1 - 3*w. Let h = 151 - 74. What is the smallest common multiple of r(0) and h?
308
Suppose -3 + 43 = j. Let u(m) = -2*m - 33 + j + 3*m. Calculate the smallest common multiple of u(-5) and 22.
22
Suppose 5*t + 5*i = -155 + 15, -4*t = -4*i + 80. Let k = 32 + t. Calculate the lowest common multiple of 148 and k.
296
Let p = 2/646381622297 + -6499799676406259297116/25208883269583. Let q = -257855938 - p. Let a = -18268 - q. Calculate the common denominator of a and -53/3.
39
Suppose 2*m = m - 64. Calculate the common denominator of m/216 + -3*1/(-3) and -23/24.
216
Suppose z - 82 = -89. What is the common denominator of (-28)/z + -9 - (-55)/26 and 63/26?
26
Let z = -6977/936432 + 6/929. Calculate the common denominator of z and 151/1260.
5040
Let l(b) = 6*b - 335. Let u be l(48). Find the common denominator of ((-56)/(-140) - (-49)/(-110))*u and -79/32.
352
Let v = 39 + -37. Suppose -60 = v*l - 6*l. What is the common denominator of 3/15 - (-122)/l and -53/12?
12
Let o = 62 - 34. Let n = -169963/57432 + 5/4786. Find the common denominator of n and (63/(-48))/((-35)/o).
120
Let k = 21 + -20. Let o(s) = s**3 + 48*s**2 - 447*s + 88. Calculate the smallest common multiple of o(-56) and -1 + 2 + (8 - k).
32
Let y(h) = -h**3 - 4*h**2 + 6. Let m = -56 - 19. Let f be m/12 + -2 + 18/8. Calculate the lowest common multiple of y(f) and 9.
234
Let x = 54/25 + -16441/7600. Find the common denominator of x and -73/88.
3344
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
3)*(0 - 4 + 3).
-22*g
Expand (-x - 3*x + x + (-4 + 2*x + 4)*(-2 + 0 + 1) - x - 2*x + 4*x)*(5*x**3 - 3*x**3 - 4*x**3 + (-2*x + 5*x - 2*x)*(2 + x**2 - 2) - 3*x**2 + 3*x**2 - 2*x**3).
12*x**4
Expand (5 - 8 - 11)*(q**3 + 4*q**3 + 2*q**2 - 4*q**3).
-14*q**3 - 28*q**2
Expand (p - 6*p + 2*p)*((1 + 1 + 0)*(1 + 0 + 1) - 13 + 22 + 18).
-93*p
Expand (1 + 1 - 1)*(0 - 1 - 1)*(-2*y + 2*y - 4*y + (-4 - 1 + 1)*(3*y - 4*y - y)).
-8*y
Expand (0 + 2 - 4)*(k**3 + 2*k**3 - 5*k**3) + (6*k - 5*k + 0*k - k**2)*(-k - 2*k + 5*k).
2*k**3 + 2*k**2
Expand 3 - 376*j + 376*j - 2*j**4 + (0*j - 4*j + 2*j)*(3*j**2 + j**3 - 3*j**2) + 0*j**4 + 0*j**4 - 2*j**4 - j**4 + 0*j + 0*j.
-7*j**4 + 3
Expand (-3 + 1 + 3 + 0 + 3 - 4 + (1 + 2 - 5)*(-1 - 5 + 4))*(-o + o - 2*o**5).
-8*o**5
Expand (2*w**2 + 0*w**2 - w**2)*(w**2 + w**2 + 0*w**2 + (3 - 3 - w)*(-2*w - 1 + 1) + 0*w**2 - 5*w**2 + 2*w**2).
w**4
Expand (0*l**3 - l**3 - 3*l**3)*(2*l + 2*l - 3*l) + l**4 - 2*l**4 + 2*l**4 + (-4*l**2 - 2*l**3 + 4*l**2)*(3*l + 1 - 1).
-9*l**4
Expand -2 + 2*f**3 + 2 + (-f**2 - f**2 + 0*f**2)*(-3*f + 0*f + 2*f) + (2*f**2 - 2*f**2 + 2*f**2)*(-3*f + 2*f - 3*f).
-4*f**3
Expand (1 - 2 + 2)*(-1 - 2*r + 1) - 16*r + 3*r - 2*r.
-17*r
Expand (4*r - 442 + 442 - r**4)*(0 - 3 + 2).
r**4 - 4*r
Expand (2*k**5 + k**5 - 5*k**5)*(-2 - 2 + 3)*(1 + 7 - 1).
14*k**5
Expand -2*r + 3*r + r + (-2 - 3 + 4)*(-4*r + 0*r + 2*r) + 2 + 2*r - 2 + 3*r - r + 0*r + 3*r - 3*r + 3*r.
11*r
Expand (4*c - 5*c + 3*c)*(-2*c**2 + 9*c**2 + 4*c**2) + (1 + 1 - 1)*(-2*c**3 + 2*c**3 + 2*c**3).
24*c**3
Expand (0*l + 4*l - l)*(0 + 0 - 4*l).
-12*l**2
Expand (-3*o + 0*o + 2*o)*(3*o**2 - 5*o**2 + 0*o**2)*(-4 + 0 - 26).
-60*o**3
Expand (-4 - 2*m + 4)*(0*m + m + 0*m) + 1 - 5 + 9 - m**2.
-3*m**2 + 5
Expand (3*i - 4*i + 2*i + i + 0*i + i + (0*i + 0*i + 2*i)*(4 - 3 - 3) - 2*i + 3*i + 0*i + i + i - 4*i + 4 + i - 4)*(5 - 4 + 3).
-4*i
Expand (-4*h + 9*h - 7*h)*(-h + h - h**2 + (-h - h + 0*h)*(5*h - h - 5*h) - 2*h + 2*h - 2*h**2)*(-2 - 4 + 7).
2*h**3
Expand (2 - 2*d - 2 + (0 + 3 - 1)*(1 - 1 + 2*d))*(2*d + 0*d + 0*d)*(6 + 9*d - 6).
36*d**3
Expand (-2 + 6 - 1)*(6*u**4 + u**4 - u**4).
18*u**4
Expand (-3*c + c + 0*c)*(-2*c**4 - 2*c**4 + 6*c**4 + 5*c**4 - 3*c**4 - 3*c**4 + (3 - c - 3)*(c**3 - 2*c**3 + 3*c**3) + 5*c**2 - 5*c**2 - c**4).
4*c**5
Expand (3*s + s - 3*s)*(-4*s + 2*s - 4 + s**2 + 3*s).
s**3 + s**2 - 4*s
Expand (5 + 0 + 2)*(2*v**5 - v**2 + 0*v**3 + 0*v**3).
14*v**5 - 7*v**2
Expand u - 2*u - u + (1 + 4 - 6)*(0*u - 2*u + u) - 2*u + 4*u + 0*u.
u
Expand (5*w - w - 2*w)*(6 - 2 - 3)*(-3*w**2 - 6*w**3 + 3*w**2).
-12*w**4
Expand (f + 2 - 2)*(-6*f + 2*f + 2*f) + 0*f**2 + 2*f**2 - 4*f**2 + (-2*f + 6*f - 2*f)*(5*f - f - 2*f) - 3 + 3 - f**2.
-f**2
Expand 9*q**5 + 0*q**5 + 21*q**5 - 1 + 1 - q**5 + (-6*q**4 + 0*q**4 + 4*q**4)*(-q - 2*q + q).
33*q**5
Expand 3*j**3 - j**3 - 3*j**3 + (-3*j + 1 - 1)*(-3*j + 3*j + 2*j**2) + (j - 3*j - 1 + j)*(-5*j**2 - 2*j**2 + 5*j**2).
-5*j**3 + 2*j**2
Expand (2 + 2*l - 2)*(2 + 1 + 2) + (7*l - l - 2*l)*(2 + 1 - 1).
18*l
Expand 107*g**4 - 107*g**4 - 22*g**5 + 0*g**5 - 3*g**5 + 2*g**5 + (0*g + g**2 + 0*g)*(0*g**3 + g**3 - 3*g**3).
-25*g**5
Expand (3 - 3 + 2*i)*(4 + 0 - 6) + 15*i + 9*i - 9*i.
11*i
Expand (0*l - 3*l + l)*(0*l + 2*l + 2*l).
-8*l**2
Expand (z**2 + 3 - 3)*(2*z + z + 0*z)*(-5*z + 3*z - z).
-9*z**4
Expand (-22*m - 3*m + 0*m)*(0*m**2 - 3*m**2 + 2*m**2) - 1 + 1 - m**3.
24*m**3
Expand (0 - 3 + 5)*(-1 + 0 + 0)*(-w + w + 2*w**5).
-4*w**5
Expand (u + 0*u + 0*u)*(-11 + 53*u + 53*u + 11).
106*u**2
Expand (n - 1 + 1)*((-3 + 0 + 5)*(-1 + 1 + 2) + 1 - 3 + 19 + 1 + 1 - 1).
22*n
Expand -4*u**3 - 4*u**2 - u**3 + 6*u**2 + 8*u**3 - 16*u**2 + 16*u**2 + (3 - 2*u**2 - 3)*(-2*u + 0*u + 0*u).
7*u**3 + 2*u**2
Expand -13*q**5 + 17*q**5 + 19*q**5 + (-2*q**4 + 4*q**4 + 3*q**4)*(-2*q + q + 3*q) + 5*q**2 - 5*q**2 - q**5.
32*q**5
Expand (-11*g - g**3 + 11*g)*(g**2 + g - 5*g + 3*g).
-g**5 + g**4
Expand 3*s**4 - 2*s**4 + s**4 + (-4*s**3 + 6*s**3 + s**3)*(0*s + 2*s - 3*s).
-s**4
Expand (3*u**4 - 3*u**4 + u**4 + (0*u**2 - 2*u**2 + 0*u**2)*(-2*u**2 - 2*u**2 + 2*u**2))*(4 + 8*u - 10*u + 0).
-10*u**5 + 20*u**4
Expand (-2*n - n + n)*(n + 0*n - 2 - 2*n).
2*n**2 + 4*n
Expand (1 - 7*w**2 - 1)*(3*w - 3*w - w) + (-7*w**2 + w**2 + 4*w**2)*(2*w - w + w) + 2*w**3 + 4*w**3 - 5*w**3.
4*w**3
Expand (4*s - 2*s - s)*(-3 + 3 - s) + 3*s**2 + 2*s**2 - 6*s**2 + (4*s + 2 - 2)*(-8*s + 2*s - 2*s).
-34*s**2
Expand (-4 - 2*m**3 + 4)*(-287*m - 22*m + 53*m) + (m**3 + 4*m**3 - 3*m**3)*(m - 3*m + 0*m).
508*m**4
Expand (-2*n + 4*n - n)*(2*n**3 + 4 - 4) - 4*n**4 - n**4 + 7*n**4 - n**4 + 5*n**4 - 2*n**4 + 4*n**4 - 3*n**4 + n**4 + 3*n**4 + n**4 - 7*n**4.
5*n**4
Expand (j**3 + j - j)*(-2 - 1 + 0)*(-1 - 2 + 2).
3*j**3
Expand 0*m**2 - m**2 + 0*m**2 - 2*m**2 + 3*m**2 - 9*m**2 + (3*m - m - 4*m)*(-m - 2 + 2).
-7*m**2
Expand (-2 - 3*y + 2)*(-3*y + 0*y + 1 + 5*y + (-1 - 3 + 3)*(-3*y + 3*y + 10*y)).
24*y**2 - 3*y
Expand (0 - 2 - 1)*(2*w - 5*w + w)*(-7*w + 8*w**2 + 7*w).
48*w**3
Expand (3 - 4 + 3)*(-5*g + 5*g - 2*g + (0*g + 4*g - 2*g)*(-2 - 4 + 4) + g - 3 + 3 + 0 + 0 - g - g + g - g - 3*g - g + 3*g)*(-11*g + 11*g + 3*g**3).
-48*g**4
Expand -5*w**3 + w**2 + 8*w**3 - 2*w**2 + (3*w**2 - 5*w**2 + 4*w**2)*(1 - 1 - 2*w).
-w**3 - w**2
Expand -1 - y**2 + 1 + (-4 + 3 + 3)*(y**2 + 3*y**2 - 2*y**2) + 0*y**2 + y**2 + 2*y**2 + (-y + 0*y + 3*y)*(-4 + 4 - 2*y) + y**2 + 2*y**2 + 0*y**2 + y - y**2 - y.
4*y**2
Expand (-t - 1 + 1)*(-t + 2*t - 3*t)*(4*t + 9 - 9).
8*t**3
Expand (-1 + 3 + 1)*(-3 + 3 + 3*o) + (-3 - 3 + 5)*(-5*o - 11 + 11).
14*o
Expand (-p**2 + p**2 - p**2)*(-2*p + 2*p + 3*p**2) + (0*p**2 - p**3 + 0*p**2)*(1 + p - 1) + 3*p**4 - 2*p**4 + p**4.
-2*p**4
Expand (0 + 0 - 2 + (1 - 5 - 5)*(-4 + 3 + 0))*(-2*n**3 + 4*n**2 - 4*n**2).
-14*n**3
Expand 0*k**2 - 3*k**2 + 4*k**2 + (2*k + 1 - 1)*(-4*k + 2*k + 3*k) - 4*k**2 + 5*k**2 + 0*k**2.
4*k**2
Expand -2*s**2 + s**2 - s**2 + (2*s - 6*s + 2*s)*(-3*s - 5*s + 6*s) + 2*s + 2*s**2 - 2*s + (-2*s + 4*s - 5*s)*(5 + 2*s - 5).
-2*s**2
Expand 2*i**4 + 82 + 12*i**3 - 82 + (-i + i - i**3)*(-1 + 1 + i).
i**4 + 12*i**3
Expand (s - 4*s + s)*(2 + 6 - 2).
-12*s
Expand (s - 2*s + 0*s)*(7*s**3 + 2*s**3 - s**3)*(3*s - 4*s - s).
16*s**5
Expand 8*f**2 - 8*f**2 + 6*f**5 + (f**4 - 3*f + 3*f)*(5*f - 3*f - f) - 3*f**5 + 2 - 2.
4*f**5
Expand (2*f + f + 0*f)*(-3 + 6 + 3)*(-2*f + 2*f - f).
-18*f**2
Expand (-2*c**2 + 5*c**2 - c**2)*(13*c**2 + 12*c**2 - 29*c**2 - 2*c**3).
-4*c**5 - 8*c**4
Expand (4*f**2 - 2*f + 4*f**2 - 7*f**2)*(-4*f**2 + 3*f**2 - 36 + 39).
-f**4 + 2*f**3 + 3*f**2 - 6*f
Expand (0 + 4 - 3 + (-2 - 2 + 2)*(0 + 0 - 1) + 1 + 0 - 2 + 5 + 1 - 3)*(10 - 10 - 2*j).
-10*j
Expand (3*r**3 - 4 + 4)*(1 + 3 - 6)*(-5*r + 5*r + 8*r).
-48*r**4
Expand (7*k**3 - k**3 + 2*k**4 + 8*k**3)*(2*k + k - 4*k).
-2*k**5 - 14*k**4
Expand (0*x - x + 0*x)*(5*x - 4*x - 3*x) - 6*x**2 + 24*x**2 + 36*x**2.
56*x**2
Expand 3*d - d**3 + 4*d**3 - d**3 + (-3 - 1 + 3)*(-2 + 2 - d**3).
3*d**3 + 3*d
Expand (-2 - 5 + 5)*(-2*z + 0*z + z) + 0*z - 2*z + z + (-7*z - 26*z + 8*z)*(-2 + 6 - 2).
-49*z
Expand 5 - 50*b**5 + 0 - 5 + (-4*b + 2*b + 4*b)*(b**4 + b**3 - b**3).
-48*b**5
Expand -3*m + 4*m + 2*m + (1 - 1 - 2*m)*(-6 + 2 + 2) + 2*m + 3*m - 3*m + 2 - 3 - m + 3.
8*m + 2
Expand (4*q - 2*q - q)*(2 + 0 + 2)*((0 - 4 + 5)*(-3*q + q + 0*q) - 2*q - 2 + 2 + 3 - 3 + 2*q).
-8*q**2
Expand (p**2 + p**2 - 5*p**2)*(-2 + 5 - 1)*(-3 + 0 - 1 + (-3 + 4 + 0)*(-1 + 1 - 1)).
30*p**2
Expand (2*c**3 + 2*c**3 - 2*c**3)*(2*c + c**2 - 7*c - 3*c**2).
-4*c**5 - 10*c**4
Expand -2*p + 2*p - p**4 + (2*p**4 + 3*p**3 - 3*p**3)*(2 - 5 + 2) + 2*p**4 + 0*p**4 + 2*p**4 + 0*p**4 + 3*p**4 - p**4 + 0*p**4 + 2*p**4 - 4*p**4.
p**4
Expand 2*a**3 + 3*a**3 - 4*a**3 + (-4*a**2 - a**2 + 3*a**2)*(-3*a - 2*a + 6*a) + 2*a**3 + a**3 - 5*a**3 - 5*a**3 + 0*a**3 + 3*a**3.
-5*a**3
Expand (4*d**3 - 2*d**3 - 5*d**3)*(-2 - 2*d**2 + 3*d**2 + 0*d - 2*d).
-3*d**5 + 6*d**4 + 6*d**3
Expand (q**2 + 2*q**4 - q**2)*(-5*q + 0*q + 3*q) + 4 - 3*q**5 - 4 - 3*q**5 + 4*q**5 - 3*q**5 + q**2 - 5*q**5 - 8*q**2 + 8*q**2 - 2 + 2 + 2*q**5.
-12*q**5 + q**2
Expand 2*s**2 + 2*s**2 - 5*s**2 + (2 - s - 2)*(0 + 6 - 7)*(5*s - 3*s + 0*s).
s**2
Expand 11*x + x**5 + 7*x**3 + 6*x - 18*x - 2*x**5 + 2*x**5 - x**5 + (-2*x - 3*x + 3*x)*(0*x**4 - 4*x**4 + 3*x**4).
2*x**5 + 7*x**3 - x
Expand (-2*m**3 + 3 - 3)*(3*m + 2*m - 1 + m).
-12*m**
|
{
"pile_set_name": "DM Mathematics"
}
|
es next: -1623, -1618, -1611, -1602, -1591, -1578, -1563?
-1546
What is next in 237, 482, 727?
972
What is the next term in 23758, 23757, 23756?
23755
What comes next: 12, 180, 460, 852, 1356?
1972
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14502
What comes next: -913, -915, -917?
-919
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499
What is the next term in 9, 11, 11, 9, 5, -1?
-9
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804
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-1700
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-174
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-218
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-164
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-405
What is the next term in -162, -143, -112, -69, -14?
53
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462
What is next in 9429, 9427, 9425?
9423
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-229
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-369
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-1608
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-6254
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68
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-96
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-16992
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226
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-56
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2768
What is the next term in -65, -246, -545, -962, -1497?
-2150
What is next in -15, -14, -11, -6?
1
What comes next: 27, 38, 49?
60
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1290
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432
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1405
What is next in -1, -4, -27, -82, -181?
-336
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2321
What is next in -472, -944, -1418, -1894, -2372, -2852, -3334?
-3818
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-686
What is the next term in 17, 41, 63, 83?
101
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-4348
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1715
What is next in 67, 84, 135, 238, 411, 672, 1039?
1530
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-59
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-351
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-679
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-4258
What is next in 83, 89, 99, 113, 131, 153?
179
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-347
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-225
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547
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643
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-7068
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-859
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-3169
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46
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29
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-518
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-548
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-11814
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162
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-128
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-52
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336
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-2355
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-114
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22
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123800
What comes next: 94, 192, 286, 376, 462, 544?
622
What is next in 1, -8, -25, -50?
-83
What is next in -7, -29, -29, 5, 85, 223, 431, 721?
1105
What comes next: 127, 123, 117, 109, 99, 87?
73
What comes next: -90, -177, -264?
-351
What is next in 1, -2, -5, -8, -11, -14?
-17
What is next in 6, -1, -16, -39?
-70
What comes next: -1438, -1428, -1412, -1390, -1362?
-1328
What comes next: 8, -1, -16, -37?
-64
What is the next term in 249, 493, 739, 987, 1237, 1489, 1743?
1999
What is the next term in -42, -85, -140, -213, -310?
-437
What is the next term in -103, -205, -297, -373, -427, -453, -445?
-397
What comes next: 63, 252, 565, 1002, 1563, 2248, 3057?
3990
What comes next: -1206, -2411, -3618, -4827, -6038?
-7251
What comes next: -2, -9, -32, -77, -150, -257, -404?
-597
What is next in 35, 128, 341, 734, 1367?
2300
What comes next: 9, 17, 27, 39, 53?
69
What is the next term in -411, -406, -399, -390, -379, -366, -351?
-334
What is the next term in -71, -111, -151?
-191
What comes next: 30, 63, 96, 129, 162, 195?
228
What is the next term in -198, -181, -144, -81, 14?
147
What comes next: 847, 1693, 2539, 3385?
4231
What comes next: 21, 27, 33, 39, 45?
51
What comes next: -4, -60, -118, -178, -240, -304, -370?
-438
What is the next term in 39, 48, 61, 78, 99?
124
What is next in 1162, 1161, 1160, 1159, 1158, 1157?
1156
What is next in 5, 14, 23, 32, 41?
50
What comes next: 236, 240, 244?
248
What comes next: 530, 541, 566, 611, 682, 785, 926?
1111
What is next in -15, -38, -69, -114, -179, -270?
-393
What comes next: -39, -75, -133, -213?
-315
What is next in 19, 17, -1, -35?
-85
What is the next term in 15, 14, 27, 60, 119, 210, 339?
512
What comes next: 130, 249, 366, 481, 594?
705
What is next in -6326, -6328, -6330, -6332, -6334, -6336?
-6338
What comes next: 100, 101, 102, 103, 104?
105
What comes next: 16, 4, -18, -50?
-92
What is the next term in -64, -155, -312, -541, -848, -1239, -1720, -2297?
-2976
What is the next term in -964, -1925, -2886, -3847, -4808, -5769?
-6730
What is next in -55, -117, -197, -301, -435, -605, -817?
-1077
What comes next: -142, -529, -1176, -2089, -3274, -4737?
-6484
What is the next term in -51, -93, -125, -141, -135?
-101
What is the next term in 92, 152, 212, 272?
332
What is the next term in 102, 206, 312, 420, 530?
642
What is next in 112, 159, 206?
253
What is next in 51, 202, 461, 834, 1327?
1946
What is next in 7, 4, -7, -32, -77, -148?
-251
What comes next: -6, -15, -28, -45, -66, -91, -120?
-153
What comes next: 1140, 2280, 3420, 4560, 5700?
6840
What comes next: -98, -101, -98, -89?
-74
What comes next: -163, -223, -283, -343, -403?
-463
What is the next term in -49, -41, -33?
-25
What is next in 24, 47, 84, 141, 224, 339, 492?
689
What is the next term in -47, -48, -49?
-50
What comes next: -17, -18, -7, 16, 51, 98?
157
What is next in -119, -240, -361, -482?
-603
What is next in -114, -452, -1016, -1806, -2822, -4064?
-5532
What comes next: 21, 41, 61, 81?
101
What comes next: -14, -23, -56, -125, -242, -419, -668?
-1001
What is the next term in -61, -134, -219, -322, -449, -606?
-799
What is the next term in 251, 408, 565, 722, 879?
1036
What comes next: -3077, -3076, -3075, -3074?
-3073
What is the next term in -41, -177, -409, -737, -1161, -1681, -2297?
-3009
What is next in 29, 18, -3, -34, -75?
-126
What is the next term in -92, -186, -280, -374, -468, -562?
-656
What is the next term in -8, -1, 24, 79, 176, 327, 544, 839?
1224
What comes next: -18, -246, -860, -2052, -4014?
-6938
What comes next: 89, 105, 133, 179, 249?
349
What comes next: 141, 267, 405, 561, 741, 951, 1197?
1485
What is next in -74, -150, -230, -314, -402?
-494
What is next in -2729, -2731, -2733, -2735?
-2737
What is next in -371, -374, -381, -392, -407, -426, -449?
-476
What is the next term in 208, 211, 214, 217, 220, 223?
226
What comes next: 455, 908, 1361, 1814?
2267
What is the next term in 607, 592, 567, 532, 487, 432?
367
What is the next term in -6009, -12018, -18025, -24030, -30033, -36034?
-42033
What is the next term in 544, 530, 496, 436, 344, 214?
40
What comes next: 112, 158, 202, 244, 284, 322?
358
What comes next: -664, -692, -734, -796, -884, -1004?
-1162
What is next in -9, 13, 57, 129, 235, 381?
573
What comes next: -8254, -8237, -8202, -8143, -8054, -7929?
-7762
What is next in -341, -688, -1035, -1382, -1729?
-2076
What comes next: 43, 81, 117, 151, 183, 213?
241
What is next in 45, 75, 105, 135?
165
What is next in -15, -35, -55, -75?
-95
What is the next term in 38, 76, 130, 206, 310?
448
What is the next term in 216, 204, 184, 156?
120
What is the next term in -2120, -4241, -6364, -8489, -10616, -12745, -14876?
-17009
What is the next term in -15, 9, 71, 1
|
{
"pile_set_name": "DM Mathematics"
}
|
qowqqqowov. What is prob of sequence wo?
5/153
Two letters picked without replacement from {p: 3, u: 2, i: 4, n: 9}. What is prob of sequence ni?
2/17
Calculate prob of sequence vlx when three letters picked without replacement from {x: 1, a: 2, v: 1, l: 1, t: 1, w: 2}.
1/336
Three letters picked without replacement from ggg. What is prob of sequence ggg?
1
Calculate prob of sequence iild when four letters picked without replacement from {d: 1, i: 7, l: 5}.
7/572
Two letters picked without replacement from {p: 1, y: 1, w: 1, m: 1, v: 1, f: 2}. What is prob of sequence vy?
1/42
What is prob of sequence zaaz when four letters picked without replacement from zaaazzazza?
5/63
Calculate prob of sequence uv when two letters picked without replacement from txxiiuuttftv.
1/66
What is prob of sequence nqqq when four letters picked without replacement from qqnknqnnk?
1/126
Calculate prob of sequence jjj when three letters picked without replacement from {j: 5}.
1
Four letters picked without replacement from mfjyyjnjnfjfjj. Give prob of sequence ymyn.
1/6006
What is prob of sequence uii when three letters picked without replacement from {o: 4, n: 7, u: 5, i: 3}?
5/969
Calculate prob of sequence zz when two letters picked without replacement from {z: 7, g: 1, q: 1}.
7/12
Calculate prob of sequence mmn when three letters picked without replacement from mnczzm.
1/60
Calculate prob of sequence jje when three letters picked without replacement from jjjjjjjjjjjjejjjjj.
1/18
Two letters picked without replacement from glppl. What is prob of sequence lg?
1/10
What is prob of sequence ll when two letters picked without replacement from llllll?
1
Calculate prob of sequence mq when two letters picked without replacement from {p: 2, u: 5, s: 1, j: 1, q: 2, m: 2}.
1/39
Four letters picked without replacement from {z: 1, n: 5, l: 1, h: 12}. Give prob of sequence znhh.
55/7752
Two letters picked without replacement from {s: 3, o: 1, n: 1, l: 2}. What is prob of sequence no?
1/42
What is prob of sequence nlo when three letters picked without replacement from {n: 3, l: 4, o: 2}?
1/21
What is prob of sequence aad when three letters picked without replacement from {a: 3, d: 4, c: 8, l: 3, p: 1}?
4/969
Three letters picked without replacement from jujjujujjuuju. Give prob of sequence juj.
21/143
What is prob of sequence mmmm when four letters picked without replacement from mmmmm?
1
Two letters picked without replacement from dqiddiqiddqdiddqd. What is prob of sequence iq?
1/17
Calculate prob of sequence cdc when three letters picked without replacement from edcdeecccededc.
10/273
Two letters picked without replacement from mjjjjjjjjmjjjjjjjjjj. What is prob of sequence jj?
153/190
Calculate prob of sequence ii when two letters picked without replacement from iiiii.
1
Four letters picked without replacement from {g: 1, e: 2, r: 1, f: 6, n: 2}. What is prob of sequence regf?
1/990
What is prob of sequence qggq when four letters picked without replacement from {q: 2, g: 5}?
1/21
Two letters picked without replacement from {e: 2, q: 1}. Give prob of sequence qe.
1/3
Two letters picked without replacement from {z: 1, a: 1, l: 2, j: 1, q: 2, m: 1}. What is prob of sequence aj?
1/56
Calculate prob of sequence mgc when three letters picked without replacement from {q: 1, c: 2, m: 9, g: 1, i: 4}.
3/680
Calculate prob of sequence jh when two letters picked without replacement from jjjoh.
3/20
Calculate prob of sequence dd when two letters picked without replacement from {d: 3, x: 3}.
1/5
Two letters picked without replacement from gugdaswugwuuuau. Give prob of sequence uu.
1/7
Calculate prob of sequence vmm when three letters picked without replacement from mvmagvyi.
1/84
Four letters picked without replacement from {g: 8, q: 2, u: 8}. Give prob of sequence uugg.
98/2295
Three letters picked without replacement from ccchhccchhchh. What is prob of sequence chh?
35/286
What is prob of sequence cqc when three letters picked without replacement from {s: 1, q: 4, c: 2, l: 10}?
1/510
What is prob of sequence nin when three letters picked without replacement from mpmppmmimnmnnpn?
2/455
Three letters picked without replacement from {r: 2, g: 2, z: 2}. What is prob of sequence gzz?
1/30
Calculate prob of sequence jjj when three letters picked without replacement from {j: 9, b: 10}.
28/323
Two letters picked without replacement from {y: 2, x: 4, f: 1, b: 4, l: 9}. Give prob of sequence bl.
9/95
Three letters picked without replacement from lllllllllxtto. What is prob of sequence ttl?
3/286
What is prob of sequence rdd when three letters picked without replacement from {i: 2, d: 2, t: 6, r: 3}?
1/286
Three letters picked without replacement from hemhmippohp. What is prob of sequence hie?
1/330
Three letters picked without replacement from dtttdtytdccct. What is prob of sequence tyt?
5/286
Two letters picked without replacement from vwwwv. Give prob of sequence vw.
3/10
Calculate prob of sequence uafs when four letters picked without replacement from fffasauaff.
1/336
Four letters picked without replacement from {f: 5, n: 1, t: 4, j: 1, y: 3}. What is prob of sequence ytyf?
5/1001
Three letters picked without replacement from {e: 9}. Give prob of sequence eee.
1
Two letters picked without replacement from {t: 4, y: 4, h: 1, s: 2, m: 1, x: 7}. What is prob of sequence mt?
2/171
Two letters picked without replacement from ctcttymcymvvv. What is prob of sequence tv?
3/52
Calculate prob of sequence kkx when three letters picked without replacement from {k: 2, t: 6, z: 1, x: 3}.
1/220
What is prob of sequence bp when two letters picked without replacement from {b: 1, p: 5, w: 7}?
5/156
Three letters picked without replacement from {o: 4, e: 2, r: 1, s: 2}. Give prob of sequence eoe.
1/63
Three letters picked without replacement from {f: 5, m: 3, d: 3, r: 4, k: 3}. What is prob of sequence mmf?
5/816
Calculate prob of sequence kqxq when four letters picked without replacement from {k: 2, m: 4, l: 2, x: 1, q: 3, j: 3}.
1/2730
Calculate prob of sequence jv when two letters picked without replacement from {j: 2, q: 4, y: 4, v: 4, u: 1, d: 4}.
4/171
Calculate prob of sequence wjwf when four letters picked without replacement from {w: 11, j: 7, f: 2}.
77/5814
Calculate prob of sequence jf when two letters picked without replacement from tiotitttiifddijfi.
1/136
Four letters picked without replacement from cctmcqqcccmmccccccc. What is prob of sequence tcmq?
13/15504
Calculate prob of sequence tug when three letters picked without replacement from gbuggguggbuggbbtggg.
11/1938
Four letters picked without replacement from {p: 1, o: 1, j: 7}. Give prob of sequence jopp.
0
Two letters picked without replacement from wxaowoj. Give prob of sequence jx.
1/42
Calculate prob of sequence nk when two letters picked without replacement from idiraknrndid.
1/66
What is prob of sequence xgx when three letters picked without replacement from gzzebbxxzx?
1/120
Two letters picked without replacement from jttttj. What is prob of sequence jt?
4/15
Two letters picked without replacement from {h: 1, m: 5, p: 1, f: 3, c: 2}. Give prob of sequence mc.
5/66
Calculate prob of sequence dooz when four letters picked without replacement from zdoddddozddzdddoozo.
25/2907
Two letters picked without replacement from {a: 1, q: 6, l: 3, d: 3, c: 3, o: 1}. What is prob of sequence lo?
3/272
What is prob of sequence vi when two letters picked without replacement from sbsbbiv?
1/42
Three letters picked without replacement from rwpywvu. Give prob of sequence vyw.
1/105
What is prob of sequence xxex when four letters picked without replacement from xxeexexeeeeeexexee?
1/51
Two letters picked without replacement from {r: 1, f: 4, h: 3, s: 2}. Give prob of sequence rf.
2/45
Two letters picked without replacement from {b: 3, u: 4, y: 2, t: 1}. What is prob of sequence yt?
1/45
What is prob of sequence zqnq when four letters picked without replacement from qznqzqzfqzr?
1/165
What is prob of sequence ddd when three letters picked without replacement from ddd?
1
What is prob of sequence mmb when three letters picked without replacement from mmbxxmxxmbxbm?
5/143
Calculate prob of sequence cnm when three letters picked without replacement from xcmn
|
{
"pile_set_name": "DM Mathematics"
}
|
(4). Suppose v*m - 227 = -p, 4 = -p + h. Does 14 divide m?
True
Let o be 2412/144 - 6/8. Suppose -6264 - 1608 = -o*t. Does 7 divide t?
False
Let v(z) = z - 25. Let i(p) = 4*p - 126. Let n(j) = -3*i(j) + 14*v(j). Let s be n(-14). Suppose 0 = -s*q - 2*q + 48. Is 3 a factor of q?
True
Let m = 10 + -22. Let r be 4 - (3/m + 0)*-4. Let d(f) = f**2 - 2*f + 4. Is 7 a factor of d(r)?
True
Let s = -11039 - -19999. Is 8 a factor of s?
True
Let q(y) = -y**2 - 22*y + 14. Let z(p) = -p**2 + 7*p + 8. Let o be z(-3). Is q(o) a multiple of 7?
True
Suppose -k + 2*v - 5028 = -18517, k + 2*v = 13469. Does 23 divide k?
False
Let b = 251 + -372. Let i = b + 309. Is 47 a factor of i?
True
Suppose 59888 = 12*o - s, -14818 = -4*o + s + 5142. Does 48 divide o?
False
Let r(h) = 70*h - 20 + 68*h + h**3 - 14*h**2 - 147*h. Does 10 divide r(15)?
True
Is 18 a factor of 10725 + -2 + -5 + -3?
False
Suppose -26*x + 6164 + 7460 = 0. Is x - -1 - (7 + -16 + 6) a multiple of 33?
True
Suppose -2*b = -4*n + 2178, -2*n + 2*b - 219 = -1305. Let j = n + -109. Does 23 divide j?
True
Let l be 24/(-11 - -5) + 4. Suppose x - 5*a - 318 = 107, l = -5*x - 2*a + 2044. Is 42 a factor of x?
False
Suppose 14*p - 169*p + 4392000 = 89*p. Does 60 divide p?
True
Suppose -7*h = -3*h - 4. Let v be 3*((-12)/(-9) - h). Let z(q) = 26*q**2 - 5*q + 5. Is z(v) a multiple of 13?
True
Let x = 127093 + -87873. Does 37 divide x?
True
Let g(h) = 3*h**3 - 120*h**2 - 43*h + 83. Is 57 a factor of g(41)?
True
Let v(g) = -g + 2. Let u(h) = 67*h - 113. Let b(a) = u(a) - 4*v(a). Is b(3) a multiple of 9?
False
Suppose -238 + 1078 = -3*t. Let l = 493 + t. Is l a multiple of 11?
False
Suppose 1385694 = 134*a + 67*a. Is a a multiple of 46?
False
Suppose 27*j = 230330 + 378925. Is 5 a factor of j?
True
Let i(n) = 5*n**3 - 15*n**2 + 22*n - 10. Let a(s) = -27*s**3 + 74*s**2 - 110*s + 52. Let r(j) = 2*a(j) + 11*i(j). Does 10 divide r(16)?
True
Let p = 6 + -2. Let f(d) = -d**3 + 8*d**2 - 11*d - 7. Let b be f(4). Suppose p*n + 4*g = 3*n + b, -4*g + 76 = 4*n. Is 13 a factor of n?
False
Let h be (5 - (-138)/(-24))*8. Is 17 a factor of 1267 + (h - -9) + 5?
True
Let a = -2084 + 1420. Let r be (25/20 + (-9)/12)*a. Is (-40)/12*6/(-5) - r a multiple of 15?
False
Let h be -5 + (-457 - 0) - (0 + -2). Let w = h + 480. Does 5 divide w?
True
Let h(w) = -31*w + 13. Let l = -96 + 91. Does 21 divide h(l)?
True
Let x(f) = -46*f + 1268. Is 12 a factor of x(-18)?
False
Let h be -1*52 - (-2 + 3 + -4). Let b(f) = -5*f**2 - 9*f + 14. Let u be b(-6). Is 2 a factor of u/h*(-35)/(-10)?
True
Let b(h) = -182*h**3 + h**2 - 3*h - 4. Suppose -3*g = -11*g - 8. Let w be b(g). Suppose 0 = -4*z - c + 320, 0*z + 5*c = 2*z - w. Does 17 divide z?
False
Suppose -2*o = -9*o - 1603. Let p = -96 - o. Is 21 a factor of p?
False
Let g = 1338 + -91. Suppose 9023 = 12*c + g. Does 12 divide c?
True
Let r = -10726 + 13677. Is 10 a factor of r?
False
Let k = 5998 + -3017. Does 11 divide k?
True
Let l(a) = a**3 + 7*a**2 - 7*a - 1. Let g be l(-8). Let f be (-1)/(15/g)*185. Is 12 a factor of f + -10 + 3/(-1)?
False
Let w be (5/15)/(6/9)*6. Let u be (-790)/(-8) + (-1)/(-4). Suppose s - 5*g = 2*s - u, w*s = 3*g + 225. Is s a multiple of 10?
False
Suppose 4*a - 15 = -a. Suppose 2*v - 57 = -5*n, -n = v + a*v - 15. Is 5 a factor of (-3 - (3 - 8)) + n?
False
Let m be 54/45*(-10)/6*-2. Suppose 15 = -5*u + 10, 0 = -m*r + u + 201. Is r a multiple of 10?
True
Let u(r) = 17*r + 22. Let g(z) = 297*z + 385. Let y(l) = -l**2 + 11*l + 14. Let n be y(-6). Let o(b) = n*u(b) + 5*g(b). Does 42 divide o(-25)?
False
Let r(c) = c**3 + 9*c**2 - 12*c - 15. Let g be r(-10). Suppose -6*b + g*u = -b - 540, -2*u = -b + 111. Is b a multiple of 15?
True
Suppose 3*f + 3*z = -417, f + z = -4*f - 687. Let c be (-1)/3 + 336/36. Let j = c - f. Does 30 divide j?
False
Let t(v) = 70*v - 79*v - 2*v**2 + 1 - 9 - 721*v**3. Is t(-1) a multiple of 48?
True
Let u = 1772 + -1298. Is 79 a factor of u?
True
Suppose -5*m - 2*h = -1573, -10*h = 5*m - 5*h - 1570. Let d = -45 - -20. Does 6 divide 4/10 - m/d?
False
Let y(i) = i**2 - 21*i - 19. Let m be (-15)/(-20)*-2*-16. Does 5 divide y(m)?
False
Let s(o) = 3078*o**2 + 86*o + 198. Is s(-3) a multiple of 102?
True
Suppose -w - 2*q + 1 + 11 = 0, -2*w + 4*q + 32 = 0. Let l(v) be the first derivative of 5*v**2/2 - 7*v + 1. Does 7 divide l(w)?
True
Suppose -34*o - 40 = -39*o. Does 26 divide 12/9*2442/o?
False
Let b = -37786 + 82764. Is b a multiple of 67?
False
Let q(t) = 123*t + 4405. Is q(0) a multiple of 21?
False
Let b = 16966 - -9774. Does 20 divide b?
True
Let s(g) = -110*g + 723. Is 109 a factor of s(-40)?
True
Suppose 5*f - 36476 + 186886 = 5*s, 4*f = 2*s - 60178. Is 11 a factor of s?
False
Suppose -3*s = -0*s - 576. Suppose 16 = -3*o + 4*t, 53*t - 8 = 4*o + 51*t. Suppose 5*g - 383 - s = o. Is g a multiple of 5?
True
Suppose -3*y + 5*q = -4*y + 9, -3*y - 2*q = -14. Suppose 0 = -s - 4*u - 1, y*s + 4*u + 39 - 11 = 0. Is s/3*(-26)/6 a multiple of 13?
True
Let g = 91193 - 64945. Is 49 a factor of g?
False
Suppose -2*b = -b - 4. Suppose -f - 2935 = -4*u, -u - f + 750 = 2*f. Suppose u = b*a + 3*a. Is 21 a factor of a?
True
Suppose -2*r + 61*r - 9184 - 59905 = 0. Does 32 divide r?
False
Let k(t) = 1116*t + 7479. Does 34 divide k(11)?
False
Suppose 37*l = -2*t + 41*l + 2, -4*t + 5*l = -7. Suppose 3*x + 19*q - 181 = 24*q, 2*x = -t*q + 108. Does 27 divide x?
False
Suppose 3*s - 225 = 210. Let x = 216 - s. Let b = 76 - x. Is b even?
False
Let j(d) = d**2 + 8*d + 5. Let p be j(-9). Let f = 19 - p. Suppose 3*l + 108 = f*l. Is l a multiple of 11?
False
Let l = 30911 - 30431. Does 10 divide l?
True
Let k be (23/(-69))/((-2)/24). Suppose t = -5*h + 1198, 2*h + 2*t = 5*t + 486. Suppose -6*y + h = k*y. Does 12 divide y?
True
Let z(a) = -9*a + 23. Let b be z(3). Is 7*((2/(-2) - -28) + b) a multiple of 6?
False
Let g(y) = -3*y**2 + 0*y**3 + 19 - 3*y**3 + 2*y**3 + 0*y**3 + 11*y. Is 69 a factor of g(-10)?
False
Suppose -8*t = 5 - 21. Let b be t/(-4) - (5 + 1270/(-4)). Suppose b = 4*d - 2*d. Is d a multiple of 39?
True
Does 7 divide (-47563 + 19)/(-21) - 3?
True
Suppose -o - 31 = -4*t, 0 = -t + 4*t + 5*o - 6. Let y(q) = q + 9. Is y(t) a multiple of 12?
False
Suppose -2*x + 236 = 48. Suppose -4*a + c + 89 = 0, 4*a - 3*c + c = x. Is a a multiple of 5?
False
Let l(j) = -15*j - 16. Let w be l(-10). Let r = -110 + w. Does 4 divide r?
True
Let k = 1542 + 1603. Does 85 divide k?
True
Let v be -1 + -1047 - ((-5 - -3) + -1). Let g = -695 - v. Suppose -9*f = -2*f - g. Does 14 divide f?
False
Let p(t) = -2281*t + 3908. Is p(-3) a multiple of 12?
False
Suppose 3*u = -3*f + 12, -24 = 8*f - 9*f + 4*u. Suppose -5*c - 3*k = -4 - 10, -4*k = 2*c. Suppose -f*h + 144 = -c*h. Is h a multiple of 18?
True
Suppose -f = -v - 25, -f - 2*v - 16 + 50 = 0. Let j = 36 - f. Suppose -192 = j*w - 10*w. Is 17 a factor of w?
False
Does 14 divide (-9)/15 + (59106/10 - 1)?
False
Suppose -149*d + 11 = -148*d. Suppose s = -2, 6*s = 5*y + d*s - 260. Is y a multiple of 8?
False
Suppose 0 = -8*q + 3*q. Suppose 5*m + o - 790 = q, -286 = -2*m - 2*o + 30. Does 28 divide m?
False
Suppose -6*u - 25 = -u, -v = -2*u + 96. Let i = v + 61. Let g = i + 61. Is 10 a factor of g?
False
Suppose 0 = -6*w + 24*w - 6714. Suppose -k + w = u + 4*k, -2*u = -3*k - 759. Is 41 a factor of u?
False
Let d be -12 - -4 - (-692 - -3). Let c = d - -199. Does 12 divide c?
False
Let i be 3/(58/30 - 2). Suppose -1157 - 2803 = -40*s. Let q = i + s. Does 4 divide q?
False
Suppose 0*v - 3*i = 2*v + 11, -23 = 4*v + 5*i. Let x(p) = -7*p + 20. Let f be x(v). Let j = f - -43. Is 7 a factor of j?
True
Let o = 27604 + -18640. Is o a multiple of 54?
True
Let o(k) = 6*k**3 + 2*k**2 + k - 3. Let p be o(1). Suppose v - 5*i = p*v - 1235, -v - 4*i = -259. Is 8 a factor of v?
False
Suppose 0 = 5*p + o - 126213, 726*p = 725*p - 4*o + 25254. Is p a multiple of 7?
True
Let i be 20/(-3) - (-10)/15. Let d be (i/4)/(-3)*90/9. Suppose 2*p - 51 = r, -d*p + 2*p = 5*r - 44. Does 6 divide p?
False
Let i = -8911 + 13271. Is i a multiple of 109?
True
Suppose -16*g = -19*g + 12573. Does 33 divide g?
True
Let i = 274 - 416. Let v = i + 245. Is 27 a factor of v - 10/(-15)*3?
False
Suppose 242*b + 117*b - 564571 = -129104. Does 5 divide b?
False
Suppose 13*t - 2*u + 960 = 17*t, 4*t = u + 960. Suppo
|
{
"pile_set_name": "DM Mathematics"
}
|
.
5
Let r = -200 + 305. Calculate the remainder when r is divided by 53.
52
Suppose -4*l = 4*n - 752, 3*n = 9*l - 14*l + 570. Calculate the remainder when n is divided by 54.
23
Suppose w = 37 + 25. Suppose w = f - 0*f. Calculate the remainder when f is divided by 16.
14
Let a be -2 - ((-3)/3 + -3). Let w = a + -1. Suppose 0 = -2*i + t + 32, i + 4*t = w + 33. What is the remainder when 35 is divided by i?
17
Let w be (-1 - -16)/(-3) + 261. Suppose 4*d - w = 4*b, -2*b + b = 2. Calculate the remainder when d is divided by 25.
12
Suppose 7*q + 27 = 69. Calculate the remainder when 16 is divided by q.
4
What is the remainder when (-1)/2 - (-1251)/18 is divided by 24?
21
Suppose 6*p - 780 = -0*p. Calculate the remainder when p is divided by 22.
20
Let n(l) = -2*l + 1. Let y be n(-2). Let o(z) = 2*z**2 - 11*z - 17. Let f be o(-7). Suppose -y*d = -f + 23. Calculate the remainder when 106 is divided by d.
25
Suppose 10 = -2*u + 14. Suppose w + 4*x - 14 = 0, -87 = -5*w + u*w - 3*x. What is the remainder when w is divided by 9?
7
Suppose -70*r = -5*s - 71*r + 365, 0 = 2*s - 4*r - 146. What is the remainder when 435 is divided by s?
70
Suppose 0 = p + 2*p. Let s be (p + (-20)/12)*-3. Suppose 0 = -s*a + 110 - 0. What is the remainder when a is divided by 12?
10
Let b = 2 + 1. Suppose b*i + 2 = 2*i. Let l = 47 + i. What is the remainder when l is divided by 16?
13
Let u be 9*(2 - 5/3). Suppose 13 - 83 = -4*k - h, u*k - 5*h = 41. Let z = k - 6. What is the remainder when z is divided by 7?
4
Let a = -15 + 19. Suppose 3*r = -5*b - 137, 12 + 179 = -a*r - 5*b. What is the remainder when (r/5)/(14/(-105)) is divided by 21?
18
Suppose -5*v = 2*j - 59 + 206, 25 = -v + 4*j. Let n = 32 + -49. Let h = n - v. Calculate the remainder when 47 is divided by h.
11
Suppose -z + 24 = -0*z. Let d be 3 + -1 + -2 + z. Suppose -3*v - t - 4*t = -d, -2*t = -6. Calculate the remainder when v is divided by 1.
0
Suppose 2*k + 4*d - 308 = 0, 3*d = -3*k + 68 + 391. Let g = -91 + k. Calculate the remainder when g is divided by 9.
7
Suppose 0 = 4*d - 8 - 8. Suppose m - 2*m + 4*h + 24 = 0, h = d*m - 66. What is the remainder when 47 is divided by m?
15
Let o be (-48)/(-10) - 1/(-5). Suppose -43 = -3*k + z, o*k + z - 26 = 35. Let a = -25 - -30. Calculate the remainder when k is divided by a.
3
Suppose -31*h = -26*h - 1585. Suppose -5*t + j + 788 = 2*j, h = 2*t + j. What is the remainder when t is divided by 32?
29
Let y(o) = -o + 28. Let z be y(6). Suppose 8*w = 7*w - 5*f - z, -4*w = 4*f + 8. Calculate the remainder when 22 is divided by w.
1
Calculate the remainder when (-121)/(1*(0/(-3) + -1)) is divided by 25.
21
Let m(i) = -2*i**2 - 22*i - 9. Calculate the remainder when 251 is divided by m(-6).
47
Suppose 2*x - 210 = 4*r, 4*r - 20 + 16 = 0. What is the remainder when x is divided by 37?
33
Suppose 440 = 3*g - 8*g. Let p = -74 - g. Calculate the remainder when 40 is divided by p.
12
Suppose -3*g = 2*g - 55. Suppose -23*s + 19*s = -80. Let b = s + g. Calculate the remainder when 90 is divided by b.
28
Let i(b) = 10*b + 72. What is the remainder when 58 is divided by i(-6)?
10
Let h = 30 + -31. Calculate the remainder when 19 + (-1 - (h - -1)) is divided by 10.
8
Suppose 3*o - 1 + 7 = 0. Let x = -8 + o. Calculate the remainder when 51 is divided by 400/22 - x/(-55).
15
Suppose -11 = j - 6. What is the remainder when 145 is divided by ((-6)/j)/((-26)/(-455))?
19
Let p = 484 + -404. Calculate the remainder when 262 is divided by p.
22
Suppose -83*u + 75*u = -376. Calculate the remainder when 133 is divided by u.
39
Suppose 0*z = 10*z - 80. Let u = z + 25. Calculate the remainder when 196 is divided by u.
31
Suppose -224*q + 176 = -213*q. What is the remainder when 58 is divided by q?
10
Let r(h) = -h**2 - 5*h + 8. Suppose 3*z = -3 - 15. Let d be r(z). Calculate the remainder when (2 - d) + 58 + -3 is divided by 28.
27
Let g = -142 + 176. Calculate the remainder when 66 is divided by g.
32
Let l(c) = c + 6. Let p be l(-8). Let z be 7*(p + 48/14). What is the remainder when 13 is divided by ((-12)/z)/((-6)/20)?
1
Suppose 3*u = 74 - 32. Suppose 200 + 206 = u*o. What is the remainder when o is divided by 18?
11
Let g(f) = -2*f**3 + f**2 + f - 1. Let u be g(2). Let x = u + 22. Calculate the remainder when 6/14 - (-4650)/175 is divided by x.
5
Suppose 3*w - 304 = -5*u, 0 = -5*u + 3*w + 303 + 13. Calculate the remainder when u is divided by 18.
8
Let r(z) = 5*z + 67. Let c be r(-20). Let i = 30 - c. What is the remainder when i is divided by 17?
12
What is the remainder when 22 is divided by 4 + -1*(-17 + 2)?
3
Let b(j) = 3*j**3 - 19*j**2 + 15*j - 16. What is the remainder when b(7) is divided by 38?
35
Let t(u) = -u**3 + 17*u**2 - 15*u - 10. Calculate the remainder when 40 is divided by t(16).
4
Suppose 9*k = 12*k - 75. Suppose 396 = 28*l - k*l. What is the remainder when l is divided by 17?
13
Suppose 9*m - 14*m - 5 = 0, -m + 283 = d. Calculate the remainder when d is divided by 15.
14
Let f(o) = -o**3 - 15*o**2 - 17*o - 33. Calculate the remainder when 29 is divided by f(-14).
2
Let q = 55 - 30. Suppose 35 = 4*r - q. What is the remainder when 29 is divided by r?
14
Let b = 162 - 88. Let d = 2 + -2. Suppose r - 4 - 21 = d. What is the remainder when b is divided by r?
24
Suppose c = 25 - 60. Let w = c - -65. What is the remainder when w is divided by 8?
6
Suppose 0 = -o - 0*o + 2. Suppose 6 = 2*g, 2*j = -o*j + 5*g + 73. What is the remainder when 37 is divided by j?
15
Let k(f) = -f**3 - 16*f**2 + f + 31. Let l be k(-16). Suppose 0 = -2*u + 2*r + 24, u - l = r + r. Calculate the remainder when 44 is divided by u.
8
What is the remainder when 94 is divided by 43*2 + 105/(-21)?
13
Let j = 329 + -286. Calculate the remainder when j is divided by 32.
11
Suppose 4*x - o - 94 = 71, 3*o + 3 = 0. Calculate the remainder when 363 is divided by x.
35
Suppose -5*q = t - 2, 3*t = -2*t + 4*q + 10. Suppose 2 + t = -4*m. What is the remainder when 37 is divided by (2 - 6)*(m - 4)?
17
Let j be ((-6)/8)/(4/(-16)). Let q be j - (9/(-3))/(-3). Suppose -4*z = q*l + 7 - 37, -5*l + 45 = 4*z. Calculate the remainder when 14 is divided by l.
4
Let r be (27/(-12))/((-12)/32). Suppose -r*n + n = -4*p + 434, 4*n + 5*p = -380. Calculate the remainder when (n/(-25))/(4/30) is divided by 7.
6
What is the remainder when 26/(0 + 2 - 1) is divided by (-6 + 2)*((-27)/6 - -1)?
12
What is the remainder when 538 is divided by ((-381)/(-6) - 5) + 6/4?
58
Suppose -10*u + 8*u = -3*x + 57, 0 = 2*x - 2*u - 36. What is the remainder when 35 is divided by x?
14
Suppose 4*a - 7*a = 5*c - 502, 2*a + 2*c = 340. Calculate the remainder when a is divided by 22.
20
Let z be 2 + (-2 + 1)*-1. Suppose -4*k = -h + 5 - 2, h - z = 5*k. Suppose 0*p + h*p - 129 = 0. What is the remainder when p is divided by 11?
10
Suppose 15 = 5*o - 5*m, -5*m = 4*o - 2*m - 33. What is the remainder when 18 is divided by o?
0
Let u = -16 - -39. Let g(v) = v**3 + 7*v**2 + 5*v. Let m = -33 + 27. Calculate the remainder when u is divided by g(m).
5
Let t(s) = -22*s - 117. Calculate the remainder when t(-11) is divided by 14.
13
Let s = -22 - -46. Suppose -l + 2*w = l - s, -w = 3*l - 44. Calculate the remainder when 54 is divided by l.
12
Let b = 9 - 1. What is the remainder when b is divided by 8?
0
Suppose v = -4*k + 25, -2*v - 2*k + 0*k + 26 = 0. Suppose 0 = -0*t - 3*t + 72. Calculate the remainder when t is divided by v.
6
Suppose d + d = 2*h - 4, -5*d - 5*h + 40 = 0. Suppose -m - 26 = -d*o, 12 = o + 4*m - 14. What is the remainder when 98 is divided by o?
8
Calculate the remainder when 190/4*((-56)/(-10))/14 is divided by (22/(-4))/((-3)/6).
8
Suppose -3*z = -6*z - 2*c + 1361, -4*c = -4*z + 1828. Calculate the remainder when z is divided by 20.
15
Suppose 5*d + 18 = -2*q, -d = -0*q - 5*q + 9. Let g = 8 - 9. What is the remainder when q is divided by (g + 0)*(0 + -1)?
0
Let q(a) = -a**2 + 9*a - 2. Let s be q(8). Let c be (-2)/3 - s/(-9). Suppose c = r + r - 34. What is the remainder when 50 is divided by r?
16
Let f be (-2 + -5 + 1)*-1. Suppose f*z = -3*z + 90. What is the remainder when 59 is divided by z?
9
Let d(c) = c**2 + 9*c - 16. Let j be d(-7). Let i = j + 35. What is the remainder when 24 is divided by i?
4
Suppose 0 = o + 4*o + 50. Let u be 16 + (1 -
|
{
"pile_set_name": "DM Mathematics"
}
|
4 AM
How many minutes are there between 1:28 AM and 2:39 AM?
71
How many minutes are there between 3:33 AM and 9:28 AM?
355
How many minutes are there between 5:49 AM and 11:48 AM?
359
What is 387 minutes before 11:12 PM?
4:45 PM
What is 337 minutes after 9:00 AM?
2:37 PM
How many minutes are there between 6:09 PM and 5:55 AM?
706
What is 709 minutes before 2:54 AM?
3:05 PM
What is 2 minutes before 11:04 AM?
11:02 AM
What is 587 minutes before 3:03 PM?
5:16 AM
How many minutes are there between 2:55 PM and 12:23 AM?
568
What is 53 minutes after 3:23 AM?
4:16 AM
What is 655 minutes before 10:38 AM?
11:43 PM
How many minutes are there between 12:00 PM and 2:40 PM?
160
How many minutes are there between 8:59 PM and 4:09 AM?
430
How many minutes are there between 8:07 PM and 3:26 AM?
439
What is 300 minutes before 6:15 PM?
1:15 PM
What is 558 minutes after 1:04 AM?
10:22 AM
What is 664 minutes after 11:56 PM?
11:00 AM
How many minutes are there between 12:06 PM and 12:48 PM?
42
What is 524 minutes before 10:09 PM?
1:25 PM
What is 197 minutes before 5:10 PM?
1:53 PM
How many minutes are there between 2:51 AM and 10:15 AM?
444
What is 355 minutes before 2:07 PM?
8:12 AM
How many minutes are there between 2:19 PM and 4:47 PM?
148
What is 53 minutes after 12:48 PM?
1:41 PM
How many minutes are there between 1:24 AM and 7:06 AM?
342
How many minutes are there between 3:55 AM and 7:01 AM?
186
How many minutes are there between 7:42 PM and 11:51 PM?
249
How many minutes are there between 12:27 PM and 6:58 PM?
391
What is 641 minutes after 4:57 PM?
3:38 AM
How many minutes are there between 9:30 PM and 5:20 AM?
470
What is 104 minutes before 6:32 AM?
4:48 AM
What is 553 minutes before 12:26 PM?
3:13 AM
What is 385 minutes before 5:57 AM?
11:32 PM
How many minutes are there between 5:07 AM and 3:03 PM?
596
What is 128 minutes after 1:04 PM?
3:12 PM
How many minutes are there between 5:31 AM and 7:31 AM?
120
How many minutes are there between 9:28 PM and 9:23 AM?
715
What is 605 minutes before 7:17 PM?
9:12 AM
What is 599 minutes before 10:46 PM?
12:47 PM
How many minutes are there between 3:20 PM and 3:39 PM?
19
How many minutes are there between 9:33 PM and 9:42 PM?
9
How many minutes are there between 8:27 PM and 11:22 PM?
175
How many minutes are there between 4:15 PM and 2:03 AM?
588
How many minutes are there between 6:31 PM and 10:08 PM?
217
How many minutes are there between 2:31 PM and 4:07 PM?
96
How many minutes are there between 9:47 AM and 12:27 PM?
160
How many minutes are there between 3:36 PM and 11:28 PM?
472
How many minutes are there between 11:11 AM and 2:38 PM?
207
How many minutes are there between 11:58 AM and 1:49 PM?
111
How many minutes are there between 12:02 AM and 6:29 AM?
387
How many minutes are there between 7:14 AM and 4:23 PM?
549
How many minutes are there between 1:56 AM and 12:19 PM?
623
How many minutes are there between 4:55 AM and 4:44 PM?
709
What is 715 minutes before 6:45 AM?
6:50 PM
How many minutes are there between 1:37 PM and 5:43 PM?
246
How many minutes are there between 8:30 AM and 5:29 PM?
539
How many minutes are there between 5:06 AM and 5:59 AM?
53
What is 424 minutes before 6:43 AM?
11:39 PM
What is 115 minutes after 10:33 AM?
12:28 PM
How many minutes are there between 9:34 AM and 4:05 PM?
391
How many minutes are there between 12:50 PM and 4:50 PM?
240
How many minutes are there between 1:52 AM and 5:35 AM?
223
How many minutes are there between 10:11 AM and 4:11 PM?
360
What is 56 minutes after 5:39 PM?
6:35 PM
What is 274 minutes before 12:07 PM?
7:33 AM
What is 419 minutes after 6:43 PM?
1:42 AM
How many minutes are there between 5:00 PM and 10:37 PM?
337
What is 643 minutes after 3:57 PM?
2:40 AM
How many minutes are there between 11:10 AM and 10:35 PM?
685
How many minutes are there between 9:48 AM and 3:19 PM?
331
What is 678 minutes before 12:43 PM?
1:25 AM
How many minutes are there between 12:20 AM and 5:48 AM?
328
How many minutes are there between 4:18 PM and 1:42 AM?
564
What is 491 minutes after 9:00 PM?
5:11 AM
What is 553 minutes before 4:19 AM?
7:06 PM
What is 480 minutes after 8:00 AM?
4:00 PM
How many minutes are there between 1:05 AM and 12:50 PM?
705
How many minutes are there between 8:21 PM and 7:54 AM?
693
What is 672 minutes before 9:30 PM?
10:18 AM
How many minutes are there between 8:47 AM and 4:20 PM?
453
What is 35 minutes after 9:33 PM?
10:08 PM
How many minutes are there between 4:52 AM and 2:39 PM?
587
What is 238 minutes after 6:16 PM?
10:14 PM
What is 688 minutes before 3:15 AM?
3:47 PM
How many minutes are there between 9:41 AM and 2:45 PM?
304
What is 136 minutes before 9:38 AM?
7:22 AM
How many minutes are there between 3:44 AM and 4:33 AM?
49
How many minutes are there between 2:09 PM and 4:34 PM?
145
What is 203 minutes after 1:53 PM?
5:16 PM
What is 355 minutes after 7:36 PM?
1:31 AM
What is 97 minutes after 9:37 PM?
11:14 PM
What is 40 minutes after 5:43 PM?
6:23 PM
What is 391 minutes before 5:54 PM?
11:23 AM
What is 110 minutes before 12:01 PM?
10:11 AM
How many minutes are there between 4:46 AM and 8:41 AM?
235
What is 277 minutes after 11:55 AM?
4:32 PM
How many minutes are there between 2:54 PM and 12:59 AM?
605
How many minutes are there between 12:21 PM and 12:30 PM?
9
How many minutes are there between 2:03 AM and 6:55 AM?
292
What is 238 minutes before 3:20 PM?
11:22 AM
How many minutes are there between 5:56 PM and 7:27 PM?
91
How many minutes are there between 2:20 PM and 10:03 PM?
463
What is 260 minutes before 3:20 PM?
11:00 AM
What is 265 minutes after 7:51 AM?
12:16 PM
How many minutes are there between 5:29 AM and 4:29 PM?
660
What is 457 minutes before 4:59 PM?
9:22 AM
What is 662 minutes after 11:14 AM?
10:16 PM
What is 581 minutes after 1:45 PM?
11:26 PM
How many minutes are there between 11:54 AM and 7:37 PM?
463
How many minutes are there between 5:16 PM and 10:36 PM?
320
What is 264 minutes before 3:07 PM?
10:43 AM
What is 472 minutes after 10:17 PM?
6:09 AM
What is 110 minutes before 5:10 AM?
3:20 AM
What is 149 minutes after 8:10 AM?
10:39 AM
How many minutes are there between 8:06 AM and 12:19 PM?
253
How many minutes are there between 5:59 PM and 6:18 PM?
19
How many minutes are there between 5:48 PM and 7:32 PM?
104
What is 353 minutes after 5:38 AM?
11:31 AM
How many minutes are there between 4:33 PM and 2:03 AM?
570
How many minutes are there between 8:18 PM and 2:17 AM?
359
How many minutes are there between 5:06 AM and 8:20 AM?
194
How many minutes are there between 5:56 AM and 12:37 PM?
401
What is 463 minutes before 7:48 PM?
12:05 PM
What is 419 minutes before 2:02 PM?
7:03 AM
How many minutes are there between 12:03 AM and 10:33 AM?
630
How many minutes are there between 5:23 AM and 5:34 AM?
11
What is 547 minutes after 12:37 AM?
9:44 AM
How many minutes are there between 3:52 AM and 3:38 PM?
706
What is 223 minutes after 12:11 PM?
3:54 PM
What is 705 minutes before 11:05 AM?
11:20 PM
How many minutes are there between 11:46 AM and 1:03 PM?
77
What is 320 minutes before 7:50 AM?
2:30 AM
How many minutes are there between 1:10 AM and 8:00 AM?
410
How many minutes are there between 12:42 PM and 10:38 PM?
596
What is 662 minutes after 12:37 AM?
11:39 AM
What is 612 minutes after 11:59 AM?
10:11 PM
How many minutes are there between 10:56 PM and 3:20 AM?
264
How many minutes are there between 4:11 AM and 3:39 PM?
688
How many minutes are there between 12:05 PM and 2:45 PM?
160
How many minutes are there between 11:03 AM and 1:25 PM?
142
How many minutes are there between 6:14 AM and 9:09 AM?
175
What is 444 minutes after 12:00 PM?
7:24 PM
How many minutes are there between 9:50 AM and 9:29 PM?
699
What is 176 minutes before 1:09 PM?
10:13 AM
What is 342 minutes before 4:35 PM?
10:53 AM
What is 153 minutes after 10:26 AM?
12:59 PM
How many minutes are there between 6:57 PM and 4:06 AM?
549
How many minutes are there between 6:30 AM and 4:57 PM?
627
How many minutes are there between 4:32 PM and 10:38 PM?
366
What is 373 minutes before 1:23 PM?
7:10 AM
How many minutes are there between 9:57 PM and 3:19 AM?
322
How many minutes are there between 9:37 AM and 12:48 PM?
191
What is 251 minutes after 2:53 AM?
7:04 AM
What is 110 minu
|
{
"pile_set_name": "DM Mathematics"
}
|
j**4/12 + 3*j**2/2 + 2. Let h(o) be the second derivative of g(o). Find the second derivative of h(d) wrt d.
-6
Let d(q) = q**3 - 9*q**2 + 6*q. Let b(o) = -2*o**3 + 10*o**2 - 5*o. Let j(t) = -6*b(t) - 5*d(t). Find the third derivative of j(n) wrt n.
42
Let v be ((-16)/(-5))/(-4)*-5. Let b(x) = -2 - 13*x**2 - 4 - 5. Let l(h) = 6*h**2 + 5. Let i(d) = v*b(d) + 9*l(d). What is the derivative of i(w) wrt w?
4*w
Let t(z) = z**4 - z**2. Let v(o) = 6*o**4 - 2*o**2 - 18*o. Let c(y) = -2*t(y) + v(y). What is the second derivative of c(s) wrt s?
48*s**2
Let s(a) = 3*a**2 - 3. Let g(k) be the third derivative of k**5/30 - k**3/3 + k**2. Let t(x) = -10*g(x) + 6*s(x). Find the first derivative of t(o) wrt o.
-4*o
Let d(c) be the first derivative of 2*c**6/15 - 2*c**2 - 4*c + 4. Let o(r) be the first derivative of d(r). Differentiate o(s) with respect to s.
16*s**3
Let y(i) = -7*i**2 - 3*i - 5. Let c(m) = -20*m**2 - 8*m - 14. Let f = 12 - 26. Let n(j) = f*y(j) + 5*c(j). What is the second derivative of n(q) wrt q?
-4
Let j(q) be the third derivative of q**7/70 + q**6/120 + 9*q**5/10 - 4*q**2 - 2*q. What is the third derivative of j(x) wrt x?
72*x + 6
Let u(r) be the second derivative of 0*r**3 + 0*r**6 + 0*r**2 + 0 + 1/4*r**4 + 5*r - 1/28*r**8 + 0*r**7 + 0*r**5. What is the third derivative of u(w) wrt w?
-240*w**3
Let r(a) = -a**3 + 7*a**2 - 6*a + 4. Let x be r(6). Let s(l) = -l - 4. Let o be s(-4). Differentiate -x + o + t - 2*t wrt t.
-1
What is the first derivative of 3 + 15*q**2 - 9*q**2 - 17*q**2 - 27 wrt q?
-22*q
Let n(z) = -7*z**3 + 5*z**2 + 5*z + 6. Let g(c) = -3*c**3 + 2*c**2 + 2*c + 3. Let f(i) = -5*g(i) + 2*n(i). Differentiate f(v) with respect to v.
3*v**2
Differentiate -16*x**2 + 30*x**2 - 14*x**2 - 6*x**3 - 5 with respect to x.
-18*x**2
Let j(w) = -2*w - 1. Suppose -4 = -3*d - 1. Let h(i) = -1. Let t(y) = d*j(y) - 2*h(y). What is the derivative of t(r) wrt r?
-2
Suppose -b + x = -7, 5 = -3*b - 2*x + 1. Find the first derivative of -b*u**3 + 0 + 1 - u**3 + 0 wrt u.
-9*u**2
What is the first derivative of 15*s**3 + 0*s**3 - 8*s**3 - 21 + 4 wrt s?
21*s**2
Find the third derivative of 10*v**2 - 12*v**3 + 7*v**2 + 2*v**2 - 2*v**2 wrt v.
-72
Let d(z) be the first derivative of -z**5 - 4*z**3 - 5. What is the third derivative of d(w) wrt w?
-120*w
Let r(d) be the first derivative of -1 + 0*d - d**2 + 1/3*d**3. What is the second derivative of r(x) wrt x?
2
Let l = 9 - 6. Differentiate -3 + l*z**3 + 5 + 0 - 4 with respect to z.
9*z**2
Let u(f) = 14*f**3 - 3*f**2 + 12. Let t(o) = 14*o**3 - 2*o**2 + 11. Let p(x) = -3*t(x) + 2*u(x). Differentiate p(y) with respect to y.
-42*y**2
Let y be (3/2)/((-14)/(-28)). Let g(d) = d**2 - 3*d + 2. Let o be g(2). What is the third derivative of -9*p**5 + y*p**2 + o*p**3 + 0*p**3 + 8*p**5 wrt p?
-60*p**2
Suppose 0 = -4*b + 4*n + 16, b = -0*b - 2*n + 4. What is the second derivative of -l - l + 0*l**5 + b*l - 3*l**5 wrt l?
-60*l**3
Let m(z) = -z + 13. Let i be m(9). Let u(n) be the first derivative of 0*n**3 + 1 + n**2 + 1/4*n**i + 0*n. Find the second derivative of u(x) wrt x.
6*x
Let q(p) be the second derivative of -p**6/120 - 5*p**3/6 + 3*p**2/2 + p. Let r(u) be the first derivative of q(u). What is the first derivative of r(f) wrt f?
-3*f**2
Find the third derivative of -11*h**2 - 2*h + 47*h**3 - 16*h**3 + 12*h**2 + h wrt h.
186
Let b(a) be the second derivative of 29*a**6/30 - a**3/2 + a**2 - 57*a. What is the second derivative of b(k) wrt k?
348*k**2
What is the first derivative of -1 + 0 + 1 + 12*n**3 + 3 wrt n?
36*n**2
Let u be (-8 + 12)*2/4. Let t be (-20)/(-9) + 2/(-9). Find the second derivative of -2*y**t - 2*y**2 + 4*y**u - 3*y - 2*y**3 wrt y.
-12*y
Differentiate 6*l**4 - 13*l**4 + 17*l**4 - 9 wrt l.
40*l**3
Let g(w) = w**4 - 6*w**2 + 1. Let u(l) = -l**2. Let a(s) = -g(s) + 4*u(s). Let r(b) be the first derivative of a(b). Find the second derivative of r(q) wrt q.
-24*q
Let s be ((-9)/6)/((-12)/16). Suppose 2 = i - s. What is the second derivative of -3*n**5 + n + 2*n**4 - 2*n**i wrt n?
-60*n**3
Let v(b) = -5*b**4 + 32*b**3 - 3*b - 29. Let m(l) = 2*l**4 - 11*l**3 + l + 10. Let o(a) = 11*m(a) + 4*v(a). Find the second derivative of o(u) wrt u.
24*u**2 + 42*u
Let n(o) = -o**2. Suppose 0 = -2*z + 3*z + 3. Let u(h) = 3*h**5 + 4*h**2. Let a(b) = z*n(b) + u(b). Find the third derivative of a(y) wrt y.
180*y**2
What is the first derivative of 12*j - 10 - 5*j - 11*j wrt j?
-4
What is the third derivative of 6*l**6 + 3*l - 13*l**2 + 6*l**2 - 3*l wrt l?
720*l**3
What is the second derivative of -4*y**2 - 9*y - 13*y + 5*y - y wrt y?
-8
What is the second derivative of -9*d**4 + 5*d - 19*d + 9*d wrt d?
-108*d**2
Find the first derivative of -2 + 0 - 3*l**4 - 3 + 9*l**4 wrt l.
24*l**3
Let t(g) be the first derivative of 19*g**3/3 - 21*g - 14. What is the derivative of t(i) wrt i?
38*i
Let k(c) = 4*c - 7*c**2 - c**3 - 5 - 12*c - 2. Let z be k(-6). Find the second derivative of -j + j**z - j + j wrt j.
20*j**3
Let g = 12 - 6. Find the third derivative of -d**2 - g*d**2 + 2*d**5 + 10*d**2 wrt d.
120*d**2
Let k(m) = -2*m**3 - 2*m**2 + 2*m - 4. Let f(a) = -a**3 - 3*a**2 + 3*a - 5. Let w(l) = 2*f(l) - 3*k(l). Differentiate w(j) with respect to j.
12*j**2
Let g(k) be the first derivative of -3*k**4/2 + 12*k + 12. Differentiate g(p) wrt p.
-18*p**2
Let g(d) = -d**3 - 2*d - 8. Let b(u) = -15*u**3 - 33*u - 129. Let h(c) = -2*b(c) + 33*g(c). What is the derivative of h(v) wrt v?
-9*v**2
Let d be (-18)/(-8) - (-5)/(-20). What is the second derivative of -d*q + 3*q**2 - 2*q - 4*q**2 wrt q?
-2
Let m(u) be the third derivative of 3*u**6/40 + u**4/24 - 30*u**2. What is the second derivative of m(a) wrt a?
54*a
What is the second derivative of 2*z**3 - 5*z**3 + 8*z**3 - 13*z + 3*z wrt z?
30*z
Let d(p) = -p**5 - p**3 - p**2 - 1. Let w(b) = 68*b**5 + 85*b**3 + 85*b**2 + 34*b + 85. Let g(n) = -85*d(n) - w(n). What is the second derivative of g(a) wrt a?
340*a**3
Find the second derivative of s + 5*s**4 + 2*s - s wrt s.
60*s**2
Let g = -2 + 4. Suppose 25 = -t - 4*t, 5*t + 13 = -g*q. What is the first derivative of -1 + d**2 + 6*d - q*d wrt d?
2*d
Let d(n) = n**5 - n**3 + n**2. Let k(c) = -3*c**5 + 5*c**3 - 5*c**2 + 3*c. Let l(h) = 5*d(h) + k(h). Find the second derivative of l(t) wrt t.
40*t**3
Find the first derivative of 3*l - 3*l + 3*l + 6 + 2*l wrt l.
5
Let o(w) be the third derivative of -19*w**7/105 - 4*w**3 - 37*w**2. Differentiate o(a) wrt a.
-152*a**3
Suppose 5*i - 4 = 6. Let b be (-2)/(-1 + -1)*3. Find the third derivative of -h**4 + 3*h**b - 3*h**3 - 2*h**i wrt h.
-24*h
Let d(k) be the second derivative of k**3/6 - 4*k. Let x(q) = -3*q**3 - 2*q. Let c(u) = 2*d(u) - x(u). Find the second derivative of c(l) wrt l.
18*l
Let h(s) = -s. Let z(a) = -10*a - 21. Let u(c) = 6*h(c) - z(c). Find the first derivative of u(x) wrt x.
4
Find the second derivative of 2*d + 18*d - 6*d**3 + 4*d**3 wrt d.
-12*d
Let o = 48 - -7. Let g be 2/(-3) - o/(-15). What is the first derivative of 5*y - 5*y - 2*y**g + 3 wrt y?
-6*y**2
What is the third derivative of 6*n**3 + 8*n**2 + n**2 + n**2 - 4*n**2 wrt n?
36
Let j(h) be the third derivative of 0*h**4 + 0 + 1/56*h**8 + 0*h**3 + 0*h**6 + 0*h + 0*h**7 - 2*h**2 - 1/30*h**5. What is the third derivative of j(a) wrt a?
360*a**2
Let f(i) = 28*i**2 + 60. Let p(h) = 1. Let q(o) = -f(o) + 20*p(o). What is the derivative of q(x) wrt x?
-56*x
Suppose 7 = b + 2. Find the second derivative of 2*q**b + 0*q**5 - 4*q**5 - 5*q wrt q.
-40*q**3
What is the second derivative of 18*v - 6*v + 3*v**4 + 4*v + 5*v wrt v?
36*v**2
Let z be (-2 - -2)*(-1)/(-2). Let f be -3*(1 + 32/(-12)). What is the third derivative of -w**2 - w**f + z + 0 wrt w?
-60*w**2
Let w(s) be the second derivative of 3/2*s**2 - 1/6*s**4 + 2*s + 0 + 0*s**3. Differentiate w(p) wrt p.
-4*p
Find the second derivative of -4*n + 8*n**4 + 6*n**3 + 9*n**3 - 15*n**3 wrt n.
96*n**2
What is the third derivative of -2*f**3 + 0*f**4 - 3*f**2 + 3*f**4 - 7*f**2 + 9*f**4 - 3*f wrt f?
288*f - 12
Let n(l) be the second derivative of l**6/24 + l**5/60 - 5*l**2 - 6*l. Let v(x) be the first derivative of n(x). What is the third derivative of v(u) wrt u?
30
Let b(o) = o**3 - 2*o**2 + 3*o - 1. Let y be b(2). What is the second derivative of -2*m - 2*m + y*m**2 + 0*m wrt m?
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 1/4*z**6 + 0 + 1/2*z**2 - n*z**4 - 3*z - 1/12*z**3. Suppose m(x) = 0. What is x?
-1, -2/5, 1/3, 1
Let k = 3 - 1. Let g(f) = -13*f + 3*f**2 - 10*f**3 - 7 + 5*f + 6*f**2 - 2. Let x(a) = a**3 - a**2 + a + 1. Let r(u) = k*g(u) + 18*x(u). Factor r(m).
-2*m*(m - 1)*(m + 1)
Determine w, given that -27/7 - 6*w**3 - 3/7*w**5 + 45/7*w + 6/7*w**2 + 3*w**4 = 0.
-1, 1, 3
Let v = 291/2 + -1449/10. Factor -6/5*w**2 + 3/5*w**3 + 0 + v*w.
3*w*(w - 1)**2/5
Suppose 3*d - 3 = 5*y, d - y = 2*d - 9. Let g(j) be the first derivative of -8*j - 1 - 7/2*j**4 + 12*j**2 + d*j**3. Factor g(p).
-2*(p - 2)*(p + 1)*(7*p - 2)
Let f be 0 + 2 - (-3)/(-18)*8. Determine n, given that -f*n**4 + 2/3*n + 0 + 2*n**3 - 2*n**2 = 0.
0, 1
Let g(n) be the first derivative of n**5/10 - 33. Suppose g(u) = 0. Calculate u.
0
Let v(a) be the first derivative of a**4/3 + 5*a**3/9 - 11*a**2/12 + a/3 - 9. Factor v(r).
(r + 2)*(2*r - 1)*(4*r - 1)/6
Let n(q) be the third derivative of -q**8/84 + 5*q**7/42 - 11*q**6/60 - q**5/3 + 13*q**4/12 - 5*q**3/6 + 34*q**2. Suppose n(c) = 0. Calculate c.
-1, 1/4, 1, 5
Suppose 5*x + 1 - 11 = 0. Factor s**2 - 4*s - x*s + 2*s**2 - s**2 + 4.
2*(s - 2)*(s - 1)
Let d(y) = 5*y**2 + 48*y - 83. Let a(m) = 2*m**2 + 16*m - 28. Let h(q) = 11*a(q) - 4*d(q). Factor h(t).
2*(t - 6)*(t - 2)
Let x = -503 + 3522/7. Solve x*a + 0 + 4/7*a**2 = 0.
-1/4, 0
Let r(b) = 2*b**3 - 24*b**2 - 28*b + 29. Let i be r(13). Let w = 54 - 269/5. Factor -6/5*y**2 - 4/5*y**i - w - 4/5*y - 1/5*y**4.
-(y + 1)**4/5
Solve -7*c**2 + 6*c**2 + 4*c**3 - 2*c**3 + 2*c**2 - c**4 - 2*c = 0 for c.
-1, 0, 1, 2
Suppose -4*x = x. Suppose x*v = -v. Factor 1/4*r**3 - 1/4*r + v + 0*r**2.
r*(r - 1)*(r + 1)/4
Suppose 6 = -2*q - 2*h, 5*q - 5*h - 10 = 5. Factor q*v**2 + 0 + 2/11*v - 2/11*v**3.
-2*v*(v - 1)*(v + 1)/11
Let c(y) be the second derivative of y**10/45360 - y**9/22680 - y**8/10080 + y**7/3780 - y**4/3 + 4*y. Let h(f) be the third derivative of c(f). Factor h(w).
2*w**2*(w - 1)**2*(w + 1)/3
Let f(g) be the first derivative of 10*g**3/3 - 13*g**2 - 12*g - 5. Factor f(j).
2*(j - 3)*(5*j + 2)
Suppose -300 = -3*f + 13*f. Let n = f + 32. Let 2/9*a**n - 2/9 + 0*a = 0. What is a?
-1, 1
Let n = -4 - -6. Factor -1 - 5*u - n*u**3 + 5*u + 2*u + u**4.
(u - 1)**3*(u + 1)
Let w be ((-16)/6)/(68/(-30)). Let b = 131/68 - w. Factor 3/4 + 3/4*z - 3/4*z**3 - b*z**2.
-3*(z - 1)*(z + 1)**2/4
Let i(q) be the third derivative of -7*q**6/120 - 2*q**5/5 - q**4/2 + q**3/2 - 6*q**2. Let p(c) be the first derivative of i(c). Factor p(a).
-3*(a + 2)*(7*a + 2)
Let i(x) be the third derivative of x**6/60 - x**5/2 + 21*x**4/4 - 49*x**3/3 - 48*x**2. Factor i(w).
2*(w - 7)**2*(w - 1)
Factor -8/3*a**3 + 2/3*a + 0 - 1/3*a**2 - 5/3*a**4.
-a*(a + 1)**2*(5*a - 2)/3
Let x(s) = -2*s**3 + 18*s**2 + 3*s - 23. Let l be x(9). Let 2*i - 3/2*i**3 + l*i**2 + 0 - 9/2*i**4 = 0. Calculate i.
-2/3, 0, 1
Suppose 0 = 5*o + c - 23, 5*o - 24 = 2*o - 4*c. Let 0 - 2*l**2 + 4/3*l**3 + 2*l**o - 4/3*l = 0. Calculate l.
-1, -2/3, 0, 1
Let g(k) = 10*k**5 - 15*k**3 + 5*k + 5. Let j(d) = 9*d**5 - d**4 - 14*d**3 + 4*d + 4. Let p(z) = 4*g(z) - 5*j(z). Find w such that p(w) = 0.
-1, 0, 2
Let v(m) be the first derivative of 1/8*m**2 - 5/24*m**3 + 7/48*m**4 - 3 - 3/80*m**5 - 2*m. Let q(b) be the first derivative of v(b). Factor q(o).
-(o - 1)**2*(3*o - 1)/4
Let d be 1/(-240)*(-1)/1. Let r(a) be the third derivative of 0 + 2*a**2 - d*a**6 + 0*a**4 + 0*a**5 - 1/168*a**7 + 0*a + 0*a**3. Find f such that r(f) = 0.
-2/5, 0
Let d(t) = -34*t**4 - 104*t**3 - 102*t**2 - 10*t + 16. Let n(x) = 35*x**4 + 104*x**3 + 101*x**2 + 9*x - 16. Let w(q) = -7*d(q) - 6*n(q). What is f in w(f) = 0?
-2, -1, 2/7
What is s in -10/3*s - 4 + 2/3*s**2 = 0?
-1, 6
Factor 8/5*o + 0 + 4/5*o**2.
4*o*(o + 2)/5
Let s(j) be the second derivative of 1/6*j**3 + 2/3*j**4 + 0*j**2 + 4*j + 0 + 49/120*j**6 + 77/80*j**5. Factor s(q).
q*(q + 1)*(7*q + 2)**2/4
Let p be (-4)/(-2) - 13/1. Let c be (1 - -1)/((-8)/p). Let 1/2 - 7/4*a**3 + 4*a**2 - c*a = 0. What is a?
2/7, 1
Suppose 3*a - 11 = 8*a - o, 3*a - 5*o - 11 = 0. Let n be 36/8*(-2)/a. Solve 0*v - 1/3*v**n + 0 + 0*v**2 + 1/3*v**4 = 0.
0, 1
Let c(k) be the second derivative of -1/2*k**2 - 1/270*k**5 - k - 1/27*k**4 - 4/27*k**3 + 0. Let w(s) be the first derivative of c(s). Factor w(h).
-2*(h + 2)**2/9
Let -5*h**3 + 10*h**3 - h - 1 + 4*h + 9*h**2 = 0. Calculate h.
-1, 1/5
Let r = -8 - -10. Let h(x) be the second derivative of 0 + 1/10*x**5 + 0*x**2 - 1/3*x**3 + 1/10*x**6 - 1/4*x**4 + r*x. Factor h(p).
p*(p - 1)*(p + 1)*(3*p + 2)
Let z be ((-9)/12)/(6/(-16)). Find p such that -3*p**2 - p**2 - 3*p**3 + 5*p**2 - 3*p**z - 3*p**5 + 8*p**4 = 0.
-1/3, 0, 1, 2
Let j be 12/(-30) - 4/(-10). Let w(n) be the third derivative of 0 + 0*n**3 + j*n - 2*n**2 + 1/168*n**4 + 1/420*n**5. Solve w(u) = 0.
-1, 0
Let h(x) = 5*x**2 - 5. Let w(a) = -4*a**2 + 4. Let o(k) = -k**2 - k + 3. Let z be o(0). Let s(m) = z*w(m) + 2*h(m). Solve s(y) = 0 for y.
-1, 1
Let b(w) be the second derivative of 0 - 1/84*w**4 + 6*w - 1/7*w**2 + 1/14*w**3. Find h such that b(h) = 0.
1, 2
Suppose -18*q + 0*q**2 - 8*q**2 + 9*q**2 - 4*q + 121 = 0. Calculate q.
11
Let t be (288/(-56))/12*2/(-3). Suppose 0*a + t*a**3 - 2/7*a**5 + 0 - 4/7*a**2 + 4/7*a**4 = 0. Calculate a.
-1, 0, 1, 2
Let u(n) be the second derivative of n**4/20 + 8*n**3/5 + 96*n**2/5 - 10*n. Factor u(k).
3*(k + 8)**2/5
Let s be 10 - 6 - 5 - 11/(-7). Factor -s + 6/7*y - 2/7*y**2.
-2*(y - 2)*(y - 1)/7
Suppose -2*j + 38 = -4*b, 5*j - 4*j = 1. Let f(l) = l**2 + 7*l - 16. Let o be f(b). Let 14/3*h**o - 8/3 - 16/3*h + 10/3*h**3 = 0. Calculate h.
-2, -2/5, 1
Let r(z) be the first derivative of 4*z**5/5 + 4*z**4 + 16*z**3/3 - 12. Factor r(k).
4*k**2*(k + 2)**2
Let p(d) be the second derivative of -d**5/20 - d**4/3 - 5*d**3/6 - d**2 - 6*d. Solve p(o) = 0 for o.
-2, -1
Let y(n) be the first derivative of -n**4/5 + 16*n**3/15 + 2*n**2/5 - 16*n/5 - 55. Let y(i) = 0. Calculate i.
-1, 1, 4
Factor 4/7*o**3 + 4/7*o**2 - 20/7*o + 12/7.
4*(o - 1)**2*(o + 3)/7
Let j be (-6)/(-8)*(-6 + 2). Let r = 5 + j. Factor -4/7 - 2/7*y**r - 6/7*y.
-2*(y + 1)*(y + 2)/7
Suppose -4 + 34 = 5*o. Let r(i) be the third derivative of 1/132*i**4 + 0 - 2*i**2 + 0*i + 0*i**3 + 1/660*i**o - 1/165*i**5. Let r(w) = 0. Calculate w.
0, 1
Suppose -2*a - 2 = -5*i + 2*a, 0 = -2*i + 4*a - 4. Suppose -i = 2*y + 4*d - 0, y - 2*d - 7 = 0. Factor 0 - 1/2*l**4 - 3/2*l**2 - 3/2*l**y - 1/2*l.
-l*(l + 1)**3/2
Solve -12/17 + 2/17*o**2 + 10/17*o = 0.
-6, 1
Let c(s) = 4*s**3 + 2*s**2 + 3*s - 3. Let n(a) = 3*a**3 + 2*a**2 + 2*a - 2. Let q(u) = -2*c(u) + 3*n(u). Find x, given that q(x) = 0.
-2, 0
Let r(z) = z**2 - z + 1. Let g(t) = -10*t - 6. Let f(i) = -g(i) + 2*r(i). Determine v, given that f(v) = 0.
-2
Let x(q) be the third derivative of -8*q**2 + 1/120*q**6 + 0*q**3 + 0*q + 0 - 1/30*q**5 + 1/24*q**4. Factor x(p).
p*(p - 1)**2
Factor -3/4*l - 5/4*l**3 + 1/4*l**4 + 7/4*l**2 + 0.
l*(l - 3)*(l - 1)**2/4
Let u(w) be the second derivative of -w**6/60 + w**4/8 + w**3/6 + 4*w. Find h such that u(h) = 0.
-1, 0, 2
Let u(o) be the first derivative of -o**7/315 - o**6/180 - 2*o**2 - 4. Let t(s) be the second derivative of u(s). Factor t(n).
-2*n**3*(n + 1)/3
Let m(t) = t. Let g(u) = -40*u**2 + 20*u - 12. Let n(a) = 16*a**2 - 8*a + 5. Let w(b) = -5*g(b) - 12*n(b). Let r(y) = 4*m(y) + 2*w(y). What is l in r(l) = 0?
0, 1/4
Let f(l) be the second derivative of 1/42*l**4 - 1/7*l**2 + 0*l**3 + 0 + 2*l. Factor f(k).
2*(k - 1)*(k + 1)/7
Let y = -119 - -361/3. Let w be 8/3 + 1/3. Factor -4/3 + 2*p + y*p**2 - 2*p**w.
-2*(p - 1)*(p + 1)*(3*p - 2)/3
Let p(n) be the first derivative of 0*n**2 + 0*n + 4 - 2/3*n**3. Factor p(q).
-2*q**2
Let l(o) be the third derivative of -o**8/840 + o**6/150 - o**4/60 - 15*o**2. Factor l(h).
-2*h*(h - 1)**2*(h + 1)**2/5
Let u(b) be the first derivative of -3*b**4/4 + b**3 + 3*b**2 + 1. Suppose u(d) = 0. What is d?
-1, 0, 2
Let c(m) be the first derivative of -m**4/54 - m**3/9 - 2*m**2/9 + 2*m - 2. Let r(d) be the first derivative of c(d). Factor r(w).
-2*(w + 1)*(w + 2)/9
Let b(i) = -i**3 + 32*i**2 - 28*i - 91. Let h be b(31). Let -3/2*k - 1 - 1/2*k**h = 0. What is k?
-2, -1
Let w be (-1*0/3)/(-3). Let n(s) be the first derivative of w*s + 4/9*s**3 - 1/6*s**2 - 1. Solve n(k) = 0 for k.
0, 1/4
Let d = 16 -
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{
"pile_set_name": "DM Mathematics"
}
|
00
Round 45302.438 to the nearest one hundred.
45300
What is -101884286.4 rounded to the nearest one thousand?
-101884000
Round -3780.88979 to 0 decimal places.
-3781
What is -0.0112604593 rounded to three decimal places?
-0.011
What is 0.01610334288 rounded to 3 decimal places?
0.016
Round 0.0000017596471 to seven decimal places.
0.0000018
What is 0.000081996816 rounded to five decimal places?
0.00008
Round 0.523835464 to three decimal places.
0.524
What is -787694583 rounded to the nearest one million?
-788000000
What is -1583749.34 rounded to the nearest 10000?
-1580000
What is -0.00228592198 rounded to 7 dps?
-0.0022859
What is 0.774316603 rounded to two decimal places?
0.77
Round -0.02514568394 to four decimal places.
-0.0251
What is -15401.434 rounded to the nearest ten?
-15400
Round 7642368170 to the nearest 1000000.
7642000000
Round 9904.30591 to the nearest one hundred.
9900
What is 0.00000334820298 rounded to seven dps?
0.0000033
What is 0.00070078119 rounded to 4 dps?
0.0007
Round -212.3136538 to the nearest 10.
-210
Round 0.01437622192 to two decimal places.
0.01
What is 0.03689525737 rounded to 3 decimal places?
0.037
What is -1046467.55 rounded to the nearest one hundred thousand?
-1000000
What is 0.616851673 rounded to 3 dps?
0.617
What is 9.502355 rounded to 2 dps?
9.5
What is -0.00000509497747 rounded to seven dps?
-0.0000051
What is -652490.42 rounded to the nearest one hundred thousand?
-700000
What is 0.00007878891 rounded to seven dps?
0.0000788
Round -368206260 to the nearest one hundred thousand.
-368200000
Round 0.000525994894 to seven dps.
0.000526
What is 1673643.914 rounded to the nearest 100000?
1700000
What is -336.349177 rounded to 1 dp?
-336.3
Round -0.006005467863 to 6 dps.
-0.006005
Round 0.0178607414 to four dps.
0.0179
What is 38.1376554 rounded to 2 dps?
38.14
What is 0.002924231874 rounded to four decimal places?
0.0029
What is 0.0051993047 rounded to four decimal places?
0.0052
What is -0.0007986867561 rounded to seven decimal places?
-0.0007987
What is -0.45023674 rounded to two dps?
-0.45
What is 4303536.705 rounded to the nearest one thousand?
4304000
What is -16529119.5 rounded to the nearest ten thousand?
-16530000
What is -24090205.34 rounded to the nearest 1000000?
-24000000
What is -2993810.943 rounded to the nearest 100000?
-3000000
Round 0.00442936855 to six decimal places.
0.004429
Round 3055274.21 to the nearest ten thousand.
3060000
What is 2359974 rounded to the nearest one hundred thousand?
2400000
Round 89.9269336 to 1 dp.
89.9
Round -2.4212552 to one decimal place.
-2.4
Round -8059721 to the nearest one million.
-8000000
Round 0.090454148 to three decimal places.
0.09
Round 5959.05268 to the nearest one hundred.
6000
What is 0.03046842375 rounded to six dps?
0.030468
Round 80732.246 to the nearest 10.
80730
Round 97.396129 to zero dps.
97
What is 1.15955879 rounded to 2 decimal places?
1.16
Round 1.264736682 to 2 decimal places.
1.26
Round -3709983.1 to the nearest 10000.
-3710000
What is 0.145045552 rounded to 3 dps?
0.145
What is -263.65236949 rounded to 1 decimal place?
-263.7
Round -0.039406285 to 4 dps.
-0.0394
Round -394051.83 to the nearest one hundred thousand.
-400000
Round 0.86765299 to 3 decimal places.
0.868
What is 18834462.4 rounded to the nearest one hundred thousand?
18800000
What is 9457.2352 rounded to the nearest 10?
9460
Round -94.66617 to the nearest 10.
-90
Round -1373190.37 to the nearest ten thousand.
-1370000
What is -0.000095036727 rounded to six decimal places?
-0.000095
Round -22149.56503 to the nearest 100.
-22100
What is 156029.02 rounded to the nearest 10000?
160000
Round 750403.71 to the nearest 100.
750400
Round -32.5619589 to 3 dps.
-32.562
Round 2457.086583 to the nearest integer.
2457
Round 0.00002936563821 to seven dps.
0.0000294
What is -2100.28677 rounded to the nearest ten?
-2100
Round 0.00000008131903 to seven dps.
0.0000001
Round -1232.0777873 to the nearest 10.
-1230
Round 1160.070288 to one dp.
1160.1
What is 2222.440376 rounded to the nearest integer?
2222
Round -2008910.29 to the nearest 10000.
-2010000
Round 2136521.2608 to the nearest 10.
2136520
What is -0.008497096918 rounded to six dps?
-0.008497
Round -0.06056783739 to 4 decimal places.
-0.0606
Round -0.00031579582 to seven dps.
-0.0003158
Round 163787.25286 to the nearest 10000.
160000
What is -41283733.95 rounded to the nearest one million?
-41000000
What is 362336.984 rounded to the nearest 10000?
360000
What is -293.980879 rounded to the nearest 100?
-300
What is -96856.1056 rounded to the nearest 1000?
-97000
What is 0.065813822 rounded to 2 dps?
0.07
What is 1381182.484 rounded to the nearest ten thousand?
1380000
What is -387.889223 rounded to the nearest ten?
-390
Round -5.5312005 to two decimal places.
-5.53
What is 0.005384369 rounded to two decimal places?
0.01
What is -4.47653699 rounded to 3 decimal places?
-4.477
Round 0.000035208236 to 6 dps.
0.000035
What is 8001241.66 rounded to the nearest 1000?
8001000
Round 0.1901536661 to 4 dps.
0.1902
Round 0.0105867896 to five dps.
0.01059
Round -523955680 to the nearest 100000.
-524000000
What is -0.001483151102 rounded to 5 dps?
-0.00148
What is -0.109206035 rounded to two dps?
-0.11
What is 2060063.312 rounded to the nearest 100?
2060100
Round -2780402.985 to the nearest ten thousand.
-2780000
Round 0.0567865963 to 5 decimal places.
0.05679
Round -10.07865 to the nearest integer.
-10
Round -212261587 to the nearest one hundred thousand.
-212300000
What is 0.169087595 rounded to 3 dps?
0.169
Round -130536.744 to the nearest one thousand.
-131000
Round -53082286 to the nearest 10000.
-53080000
What is -0.00001290036111 rounded to six dps?
-0.000013
Round -0.00163369744 to 6 decimal places.
-0.001634
Round 0.007788726273 to three decimal places.
0.008
Round 4695.5367 to the nearest 1000.
5000
Round 0.00027808105 to six dps.
0.000278
What is -26994.1307 rounded to the nearest 10000?
-30000
Round 0.00000799059729 to 6 decimal places.
0.000008
Round 3844177280 to the nearest 100000.
3844200000
Round -0.0004802200533 to 6 decimal places.
-0.00048
Round 40.8202079 to 1 dp.
40.8
Round -0.00604347053 to 5 decimal places.
-0.00604
What is -417.716246 rounded to 0 dps?
-418
Round -11269.93102 to the nearest one thousand.
-11000
Round -1848103.702 to the nearest one thousand.
-1848000
Round 1.85841578 to one dp.
1.9
Round -0.0007468529 to five decimal places.
-0.00075
What is 0.0000653388467 rounded to 6 decimal places?
0.000065
Round -0.252940205 to 1 dp.
-0.3
What is 0.0002454411671 rounded to five dps?
0.00025
What is -0.000258780508 rounded to five decimal places?
-0.00026
What is 0.0170772793 rounded to 5 decimal places?
0.01708
Round 0.000078353655 to six decimal places.
0.000078
Round 0.0314991883 to four decimal places.
0.0315
What is -874554.642 rounded to the nearest 100000?
-900000
Round 0.0000570590728 to five dps.
0.00006
Round -2.941072899 to one decimal place.
-2.9
Round -0.771223788 to 2 dps.
-0.77
Round 55.77551825 to 0 decimal places.
56
What is 31109.628 rounded to the nearest 10000?
30000
What is -128206.899 rounded to the nearest one hundred?
-128200
What is 0.00071238208 rounded to seven decimal places?
0.0007124
Round -623.2285028 to 0 dps.
-623
Round -8.5299364 to one decimal place.
-8.5
What is 0.01175567781 rounded to 3 decimal places?
0.012
Round -1755.7904 to the nearest 1000.
-2000
Round 0.000422080168 to 7 dps.
0.0004221
What is 90387.633 rounded to the nearest 10000?
90000
What is -0.085411019 rounded to four dps?
-0.0854
Round 34.3413371 to 3 decimal places.
34.341
Round 7.80519982 to the nearest integer.
8
Round 63398.242 to the nearest 10000.
60000
Round -4843.872746 to the nearest 10.
-4840
Round -211851.772 to the nearest ten.
-211850
Round 0.000155670914 to 5 dps.
0.00016
Round -3753.8344 to the nearest one hundred.
-3800
What is 0.049091098 rounded to two decimal places?
0.05
Round -0.9849179 to the nearest integer.
-1
What is -439.3989641 rounded to 2 decimal places?
-439.4
Round -0.010584166867 to six dps.
-0.010584
What is 62.2240188 rounded to one decimal place?
62.2
What is 1380238.607 rounded to the nearest 100?
1380200
Round -2.627065024 to 4 decimal places.
-2.6271
Round -0.000829730391 to 7
|
{
"pile_set_name": "DM Mathematics"
}
|
) = x**2. Give j(g(w)).
19*w**2
Let y(h) = 36*h**2. Let l(b) be the second derivative of -b**4/6 + 7*b. Determine l(y(i)).
-2592*i**4
Let k(u) = 2*u. Let q(f) = -1 - 15*f - 11*f + 22*f. Determine q(k(i)).
-8*i - 1
Let l(b) = -2422*b**2. Let c(d) = 2*d. Calculate c(l(z)).
-4844*z**2
Let x(c) be the third derivative of -c**5/30 - c**2. Let s(w) be the third derivative of w**4/6 - 46*w**2. Give x(s(m)).
-32*m**2
Let v(z) = 2*z**2. Let y = 30 + -28. Let s(n) = -2*n**2 + 2*n**2 + 3*n**2 - 6*n**y. Give s(v(w)).
-12*w**4
Let s(j) = -2*j**2. Let l(b) = -9*b**2 - 8. Let r(f) = -f**2 - 1. Let h(i) = -l(i) + 4*r(i). Let c(a) be the first derivative of h(a). Determine s(c(d)).
-200*d**2
Let m(u) be the first derivative of 2*u**3/3 - 1. Let j = 149 + -82. Let s(k) = -k**2 - 67*k + 2*k**2 + j*k. What is m(s(v))?
2*v**4
Let d(w) = 3*w. Let c(s) = -2*s - 737. Calculate d(c(z)).
-6*z - 2211
Let v(d) be the first derivative of -d**2 - 7. Let o = 3 + -1. Let b(p) = o*p - 5*p + 4*p. Determine b(v(a)).
-2*a
Let p(r) = -3*r**2. Let g(v) = -9649*v**2. Determine p(g(z)).
-279309603*z**4
Let k(m) = m. Let l(h) = 493*h. Determine l(k(g)).
493*g
Let i(r) = -6*r**2 + 3*r**2 + 4*r**2. Let g(h) = -4*h. What is i(g(o))?
16*o**2
Let u(z) = -15*z**2 + 3. Let b(q) = -15*q**2 + 2. Let l(h) = -3*b(h) + 2*u(h). Let k(a) = -2*a**2. What is k(l(x))?
-450*x**4
Let r(w) = 2*w. Let g(d) = 142*d**2 - 5*d. What is r(g(s))?
284*s**2 - 10*s
Let q(x) be the second derivative of -1/3*x**3 - 15*x + 0 + 0*x**2. Let i(m) = 6*m - 5. Let y(w) = -w + 1. Let n(s) = -i(s) - 5*y(s). What is n(q(a))?
2*a
Let f(m) = -m**2. Let d(p) be the second derivative of 0*p**3 + 0 + 1/8*p**4 - p**2 - 2*p. Let h(j) be the first derivative of d(j). Calculate h(f(r)).
-3*r**2
Let f(y) = -3*y + 4. Let v(c) = -c + 2. Let d(b) = f(b) - 2*v(b). Let s(q) = -28*q. What is s(d(l))?
28*l
Let r(m) = 2*m**2. Let j(q) = 5*q. Let w be j(-1). Let h be (2/w)/((-2)/80). Let f(o) = -h - 2*o + 16. Determine f(r(b)).
-4*b**2
Let c(l) = -4*l**2. Let w(n) = 5*n**2 + 4*n. Let s(i) be the first derivative of -i**3/3 - i**2/2 + 5. Let x(j) = -4*s(j) - w(j). Give c(x(f)).
-4*f**4
Let s(f) = 420*f - 2. Let y(t) = -7*t. What is s(y(h))?
-2940*h - 2
Let k(n) = -413*n**2. Let z(y) = y**2. Give z(k(x)).
170569*x**4
Let f(v) = -2*v**2. Let l(j) = -j + 34. Give l(f(z)).
2*z**2 + 34
Let f(z) = 4*z - 19. Let s(o) = o**2. Give s(f(d)).
16*d**2 - 152*d + 361
Let m(g) = g**2. Let f(u) be the second derivative of -u**3/3 + u. Let o(v) = -7*v. Let c be (13 - 2)/(1/(-2)). Let s(p) = c*f(p) + 6*o(p). Give m(s(t)).
4*t**2
Let q(y) = -9*y**2 + 7*y + 7. Let h = 23 - -5. Let s(l) = -l**2 + l + 1. Let j(p) = h*s(p) - 4*q(p). Let z(i) = 2*i. Give z(j(a)).
16*a**2
Let r(k) be the first derivative of -k**2 - 18. Let a(l) = 11*l. Determine r(a(o)).
-22*o
Let k(o) = o**2. Suppose -7 = -4*u + 1. Suppose -4*r + 19 = 2*p - 3, -5*p + u*r + 19 = 0. Let b(m) = -2*m - 5 + p. What is k(b(c))?
4*c**2
Let n(f) = 2*f**2 - 2 - 5 + 7. Let r(o) = 3*o. Calculate n(r(t)).
18*t**2
Let d(z) be the third derivative of 0 + 0*z + z**2 + 0*z**3 - 1/24*z**4. Let w(r) = 5*r. What is w(d(a))?
-5*a
Let b(c) = c**2. Let q(j) = 46*j**2 - 2*j. Determine b(q(l)).
2116*l**4 - 184*l**3 + 4*l**2
Let y(v) = 96*v**2 - 24. Let r(w) = -19*w**2 + 5. Let t(x) = 24*r(x) + 5*y(x). Let a(d) = d**2. What is t(a(g))?
24*g**4
Let w(s) = 4*s. Let t(j) = -144*j. What is w(t(o))?
-576*o
Let t(u) = -5*u. Let z(o) = 5*o. Let d(j) = 4*j. Let x(m) = -7*d(m) + 6*z(m). Calculate x(t(h)).
-10*h
Let d(f) = 109*f**2. Let y(c) = c + 1. Let o(l) = -3*l - 2. Let n(u) = o(u) + 2*y(u). Calculate n(d(w)).
-109*w**2
Let y(m) be the third derivative of -m**5/3 - 7*m**2. Let f(c) = c**2. Calculate f(y(i)).
400*i**4
Let g(o) = 7*o**2. Let t(y) = -12*y**2. Determine g(t(a)).
1008*a**4
Let o(z) = 3*z. Let j(p) = -p + 8. Let h be j(6). Let d(g) be the third derivative of 1/60*g**5 + 0*g**3 + g**h + 0*g + 0*g**4 + 0. Determine d(o(t)).
9*t**2
Let m(b) = 2*b**2 - 6. Let z(h) = -2*h**2 + 7. Let t(k) = -7*m(k) - 6*z(k). Let s(d) = 2*d - 6. Let w(v) = -1. Let a(f) = s(f) - 6*w(f). Determine t(a(o)).
-8*o**2
Let d(i) be the first derivative of i**3/3 - 2*i + 2. Let t(k) be the first derivative of d(k). Let u(p) = 59 + 2*p - 29 - 30. Give u(t(f)).
4*f
Let x(r) = 5*r - 3. Let a(s) = 5*s - 3. Let i(h) = -6*a(h) + 5*x(h). Let z(c) = 5*c - 2. Let t(w) = -2*i(w) - 3*z(w). Let k(n) = -2*n**2. Calculate t(k(j)).
10*j**2
Let r(u) = -u**2 - 2*u - 2. Let t(s) = -8 - 13*s - 2*s**2 - 4*s**2 - 5. Suppose 5*l = 5 - 35. Let d(m) = l*t(m) + 39*r(m). Let i(b) = 2*b. Give d(i(o)).
-12*o**2
Let v(c) = -12*c. Let p(q) be the third derivative of -q**5/60 - 4*q**2. Calculate p(v(w)).
-144*w**2
Let t(b) = 3*b. Let o(z) = -8*z. Let l(r) = -4*o(r) - 11*t(r). Let p(n) = -24 + 24 + 5*n. Determine l(p(y)).
-5*y
Let q(z) = -4*z. Let g(l) be the third derivative of -4*l**2 - 1/30*l**5 + 0*l**4 + 0*l**3 + 0 + 0*l. Give g(q(x)).
-32*x**2
Let l(q) = q**2. Let p(m) = -293*m - 1. Determine p(l(f)).
-293*f**2 - 1
Let b(q) = 2*q. Let a(w) = -w - 6. Let r(p) = 15. Let j(c) = c + 1. Let h(m) = -2*j(m) - r(m). Let t(k) = -17*a(k) + 6*h(k). Give t(b(n)).
10*n
Let g(d) be the second derivative of -d**3/3 + 16*d. Let f(n) = -151*n**2. What is g(f(c))?
302*c**2
Let u(k) = -k. Let w(a) = -2*a**2 + a. Let f(c) = u(c) + w(c). Let q(n) = -6*n. Give f(q(m)).
-72*m**2
Let n(k) be the first derivative of -3/2*k**2 + 0*k + 2. Let i(x) = x - 1. Let t(b) = -3*b + 2. Let v(l) = -2*i(l) - t(l). Calculate n(v(r)).
-3*r
Let r(p) be the third derivative of -p**4/24 - 19*p**2. Let f(q) be the third derivative of -5*q**4/24 - q**2. Determine f(r(v)).
5*v
Let j(q) be the first derivative of -2 - 1/2*q**2 + 0*q. Let h(d) = -d**2 + d. Let r(x) = -x. Let z(i) = -2*h(i) - 2*r(i). Calculate z(j(a)).
2*a**2
Let p(m) = 10*m. Let b(f) = 11*f. Determine p(b(t)).
110*t
Let x(g) = -25*g. Let b(k) = 17*k + 11. Give x(b(j)).
-425*j - 275
Let k(y) = 50*y. Let d(b) = -5*b. Give k(d(u)).
-250*u
Let i(n) = -2*n. Let s(g) = 4 - 3 - 3 + 101*g. Give s(i(j)).
-202*j - 2
Let y(u) = 6*u. Let p(k) = -7*k + 60. Give p(y(h)).
-42*h + 60
Let l(k) = -2*k. Let c(r) = r**2 + 38*r - 19. Calculate l(c(h)).
-2*h**2 - 76*h + 38
Let z(o) = 150*o**2 - 63*o**2 - 73*o**2. Let t(a) = 3*a**2. Give z(t(l)).
126*l**4
Let x(z) = -z. Suppose 7*i = 4 + 17. Let o(m) be the second derivative of 0*m**i - 5/12*m**4 + 0 + 2*m + 0*m**2. What is o(x(l))?
-5*l**2
Let i(f) = -6*f**2. Let o(q) = -29 - 3*q**2 + 17 + 12. Give i(o(z)).
-54*z**4
Let w(x) = 2*x**2 - 3. Let c(h) = -h**2 + 2. Let a(s) = 3*c(s) + 2*w(s). Let p(k) = 0 + 6*k + 0. What is a(p(b))?
36*b**2
Let t(k) = -25*k**2. Let q(g) = -g + 39. Calculate t(q(n)).
-25*n**2 + 1950*n - 38025
Let v(n) be the second derivative of n**3/6 - 2*n. Let j(c) = -2*c. Let z(q) = 2*q - q + 0*q. Let y(i) = 6*j(i) + 15*z(i). Determine y(v(u)).
3*u
Let i(f) = f. Let c(z) = 4*z**2 - 5*z. Let g be 4/(-14) - 33/7. Let w be 1*g*(3 - 2). Let t(s) = -10*s**2 + 12*s. Let n(r) = w*t(r) - 12*c(r). Give i(n(l)).
2*l**2
Let w(x) = -x. Let r(m) = 3*m**2 - 10*m. What is r(w(g))?
3*g**2 + 10*g
Let j(s) = -s**2 - 6*s - 6. Let a(f) = 2*f**2 + 11*f + 11. Let b(v) = 6*a(v) + 11*j(v). Let y(x) = -7*x. Calculate y(b(g)).
-7*g**2
Let w(o) = -12*o**2 - 11*o. Let i(k) = -k**2 - k. Let b(c) = -22*i(c) + 2*w(c). Let l(q) be the first derivative of -1 + 0*q**2 + 0*q + 2/3*q**3. Give l(b(r)).
8*r**4
Suppose -6 = -6*o + 4*o. Let p(n) = -3*n + 3*n + o*n - 4*n. Let j(a) = -2*a. What is p(j(y))?
2*y
Suppose -125 = -5*k - 35. Let o(q) = -1. Let x(d) = 3*d + 18. Let t(b) = k*o(b) + x(b). Let v(u) = 2*u**2. Calculate v(t(w)).
18*w**2
Let b(x) = x - 6. Let q(s) = 1. Let j(w) = -b(w) - 6*q(w). Let t = -1 + 1. Let u(d) = 0 - 3*d + t. Give j(u(f)).
3*f
Let h(o) = -1068*o. Let l(m) = 2*m. Calculate h(l(x)).
-2136*x
Let c(h) be the first derivative of -2*h**3/3 - 3. Let w(v) = -4*v. Calculate c(w(y)).
-32*y**2
Let x(u) = u. Let t(p) = 1. Let z(o) = -3*o - 2. Suppose -3 = -2*c - 1. Let f(n) = c*z(n) + 2*t(n). What is x(f(w))?
-3*w
Suppose -5*a = -0*a - 10. Let o(u) = -9*u**2 - 5*u**2 + 24*u**a - 9*u**2. Let x(q) = q**2 - q**2 + 4*q**2. Give o(x(n)).
16*n**4
Let a(u) = -u**2. Let s(z) = -z. Let w(v) = -v. Let f(p) = -10*s(p) + 4*w(p). Let m(k) = -5*k
|
{
"pile_set_name": "DM Mathematics"
}
|
be u(-7). Let m = 9 + -5. Solve 4*w - w + 13 = -2*x, m*w + n = 4*x for x.
-2
Let o = -36 + 38. Solve 5*y + o*w = 27, 3*y - 3 = -5*w + 17 for y.
5
Let r be (-4)/20 - (-82)/10. Solve -2*q + 8 = 4*i, -i - 4*q = i + r for i.
4
Suppose 3*c = -4*u + 115, 0 = -5*c - u - 78 + 281. Solve -2*z - 8 = 0, -o + 6*o - 4*z = c for o.
5
Suppose q + 4*q - 15 = 0. Let n = -23 + 25. Suppose -4*z + 85 = q*u, n*z + 50 = 2*u + 3*z. Solve -2*s = 2, 0*a = 4*a + 3*s + u for a.
-5
Suppose 0 = c - 3*c. Let q = 2 - c. Let r(o) = o**2 - o. Let h be r(q). Solve -2*v - 6 = -h*j + 2*v, 5*v - 10 = -j for j.
5
Let u be (-18)/(-81) - (151/(-9))/1. Solve y = -v + 4, 4*v + 5*y = -0*v + u for v.
3
Let p(o) be the second derivative of -1/2*o**2 - 2*o + 0 + 1/6*o**3. Let k be p(5). Solve k*w - 11 = -l, 3*w + 13 = l - 6*l for w.
4
Let r = -1 + 12. Let f = -6 + r. Let h be 9*1*6/2. Solve -x - f*l + h = 0, 3*x - 5*l + 3*l + 4 = 0 for x.
2
Let f(b) = 6*b**2 + 9*b + 14. Let z be f(-2). Solve -5*p = -3*l + 6, 3*p + 3*l = 2 - z for p.
-3
Let v = -55 + 58. Solve w - v*w - 5*d - 26 = 0, 4*w = 5*d + 8 for w.
-3
Let q = -3 - -6. Solve 0 = 3*g - q, -3*c - 10 = -4*g + 9 for c.
-5
Let c be 0/2 + 9 + (53 - 51). Solve 0 = 2*t - 5*a - 7, t - c = 5*a for t.
-4
Suppose -f - 1 - 1 = 0. Let w be 0*(0 + 1/f). Let k be (-2 - -2) + 4 + 8. Solve w = 2*t - 3*l + 7, t + 5*l + k = 2 for t.
-5
Let a be 20/(-6)*12/10. Let h be 0/5 - (a - 0). Suppose 56 = 8*f - h*f. Solve 5*d - 2*o = d - f, 4*o - 12 = 0 for d.
-2
Let l be (-2)/(-1) + (0 - 0). Let j(w) = w**3 + 3*w**2 + 2*w + 2. Suppose -g + 6*g + 10 = 0. Let d be j(g). Solve -d*v + 6 = 3*c, c + 4*v + l - 4 = 0 for c.
2
Let y be 0 + 0 + 3 + -5. Let a be 1/(y - (-27)/12). Suppose -4*z = p + a*p - 58, 2*p - 30 = -2*z. Solve 5*m + s - 3 = z, 5 = s for m.
3
Let p be (3 - 2)*1*1. Let d(q) = -6*q + 2. Let r(b) = -7*b + 3. Let h(l) = -3*d(l) + 2*r(l). Let w be h(p). Solve 5*k = -3*x + 2, -2*x + 1 = -w*x - k for x.
-1
Let i be 1 + -2 + (-3 - -4). Suppose 5*t + p - 6 = 14, 3*t + p - 10 = i. Solve 14 - 6 = b - q, -2*q = -t*b + 28 for b.
4
Let j(y) = -y + 2. Suppose 4*m - 4 = -l - 6, -4 = 2*l - 5*m. Let h be j(l). Suppose -6 = -h*c + 6. Solve n + c*d = 6 - 3, 0 = -5*d + 10 for n.
-3
Let k(s) = s + 2. Let f be k(1). Solve 4*a + 5*y + 1 = 5, 0 = -a - f*y + 8 for a.
-4
Let j be -2 - ((-352)/60 + (-6)/45). Solve 16 = 4*r, j*x + 4*r - 16 = 3*r for x.
3
Let f be -5*1*(-5 + 3). Suppose 0 = 3*i + 2*t + 2*t - 8, 0 = i - 5*t - 9. Suppose -d = -i*d. Solve v - 5 = 2*a - 4, d = 5*a + f for v.
-3
Suppose -4*l = -7*l + 9. Solve 0 = l*f + 3 - 0, -5 = 2*b - f for b.
-3
Suppose -6*x + 5*x + 31 = 0. Let f = -27 + x. Solve -2*y = -f*r + 4, r + 4*y + y + 10 = 0 for r.
0
Let o(u) = -3*u - 1. Let q = -5 + 8. Suppose 2*a + 20 = -q*a. Let h be o(a). Solve -5*f - h = 2*m, 2*m + f + 1 + 6 = 0 for m.
-3
Suppose 6*s + 22 = -20. Let o be 1/3 - (-88)/(-12). Let w = s - o. Solve -j + w*j = -2*q + 9, -j + 3*q = 11 for j.
-5
Let s be (-4)/(-8)*(-6)/(-1). Suppose 2*h - 6*h - 8 = -3*o, 4 = -s*o - 2*h. Solve k + o*j - 16 = 3*j, -15 = 5*k + 4*j for k.
1
Suppose 21*y - 19*y - 6 = 0. Suppose 2 - 1 = -a. Let n = a + y. Solve f = -n*g - 9, -3*f + 5*g + 1 = -5 for f.
-3
Let q be (-7)/2*(-12)/21. Solve -3*n + 11 = q*x, -n = 4*x - 6*n + 33 for x.
-2
Let p be (-275)/(-11)*(-8)/(-10). Solve 3*l + p = -4*i + 6*l, 25 = -5*i + 5*l for i.
-5
Suppose 3*h = 2 + 7. Solve 1 = -5*t + h*v, t = 4*t - 5*v + 7 for t.
1
Let p be (-693)/(-36) - ((-1)/(-4) + -1). Solve -5*r = w + 1 + 10, 4*r = 2*w - p for r.
-3
Let j be (-1 + 1)/((-2)/1). Solve j*z = 5*z + b + 19, 2*z + 7 = -b for z.
-4
Let b(u) be the second derivative of u**4/12 + u**3/6 - u. Let k be b(-2). Solve j = -k*o + 9, -14 = -3*o - 5*j + 3*j for o.
4
Let v = -9 - -16. Let z(w) = 2*w - 8. Let g be z(v). Solve 2*r + 20 = -4*b, 2*b - 3*r + g = -b for b.
-4
Suppose 3*l - 30 = -2*l. Let d = -4 + l. Let a be 14/6 - d/6. Solve r + a*x + 6 = 0, -2*x + 1 = -r + x for r.
-4
Let s be 4/((-1 - 1)/(-4)). Let p = s + -8. Solve 4*o = 2*r + 6, -3 = -p*o - 4*o + 5*r for o.
2
Let b = -20 + 29. Let a = b + -4. Let n = -1 + 4. Solve 0*u - u = -n*z - 4, -a*u = -2*z + 6 for u.
-2
Suppose 0 = g + 3*l + 13 - 33, -3*g = 2*l - 25. Suppose -6 - 6 = -2*r. Suppose -t + 1 = -2. Solve -i = t*p + r, 10 = -5*p + g*i - i for p.
-2
Suppose 0*t = 2*t - 6. Suppose 0 = t*h - 0*h - 2*q - 3, 0 = 5*h + 4*q - 27. Solve 5*a + 15 = 0, 2*p + 0*a + a = h for p.
3
Suppose 2*p - 7 = -5*y, y + p + 2 = 1. Solve 5*u - 1 = -l - 18, 0 = -y*l + 2*u for l.
-2
Suppose -s = w, 3*w + 2*s + 20 = 6*w. Let u be w*(2/(-4))/(-1). Solve 2*m + 8 = 3*l - u, -5*m - 14 = -2*l for l.
2
Suppose -3*f - 4 = -1. Let p be -6 + f - (7 + -9). Let g be (-17)/p + 6/10. Solve -r - r + 1 = -t, -g*t + 23 = r for r.
3
Suppose 0 = -3*q - 2*q + 5. Let l be 22 - q - 2*-1. Solve -h = 4*s - 16, -2*h - 6*s = -s - l for h.
4
Let o = -7 - -11. Solve 8*f + 3*d - 26 = 4*f, -o*d + 18 = 2*f for f.
5
Let j be 4 + (2*1/(-2))/(-1). Solve 0*u = -u - 5*v - 13, j = -u - v for u.
-3
Let f be (-32)/6*6/(-4). Let p = 4 + -2. Suppose p*n = 3*n - 5. Solve 0 = -n*k + t - f + 23, -k = -4*t - 22 for k.
2
Let c be 2*-12*8/(-12). Let u = 1 - -3. Solve 2*n - u*w - 16 = -0*n, -3*n - c = 4*w for n.
0
Suppose 3*p - 2*f = 8, -3*p - 6 = -2*p - 5*f. Solve 0*l = -3*l + 4*z - 23, -10 = p*l + 5*z for l.
-5
Let z = -10 - -12. Solve s + z*m = -s, 0 = -2*s - 3*m + 2 for s.
-2
Suppose 3*s + s = 124. Suppose -3*o = -7*o + 12. Solve -p - p + o*v - 6 = 0, 5*p = -4*v + s for p.
3
Suppose -3*g - 16 = 5*a, 4*g - 2*a = -0*a + 22. Suppose -k + g*k = 2. Let x = k - -3. Solve -x*l = 4*f + 24, -5*l + f - 26 = 2*f for l.
-5
Let g(n) = -3*n + 6*n - n + 3*n. Let z be g(1). Let j be (-2 - -5)/(2/2). Solve c + 9 = -4*s, j*c - z*s - 37 + 13 = 0 for c.
3
Suppose 0 = 3*w - 9*w + 12. Solve -5*q - 4*t - 2 = 8, 5*t = -w*q - 21 for q.
2
Suppose -3*n + 16 - 61 = 0. Let m be (12/n)/(4/(-10)). Solve 4*t + 4*h = -8, t + 3*t - 2*h + m = 0 for t.
-1
Let z = 0 - -4. Solve -6 = 3*v + 4*h, -4*v = v + z*h + 2 for v.
2
Let x(z) be the second derivative of -z**4/12 - z**3 - 3*z**2/2 + z. Let r be x(-6). Let u be (-3)/(3/(-2)) - r. Solve u*y - 4 = y, -5*q + 3*y - 3 = 0 for q.
0
Let z(r) = r**3 + 4*r**2 + 5*r + 3. Let f be z(-3). Let y(w) = w**2 - 4*w + 2. Let o be y(5). Let k = f + o. Solve k*b - h = 0, -b - 2*h = h - 13 for b.
1
Let v = 4 - 6. Let q be ((-28)/10)/(v/(-30)). Let g be (-3)/12 + q/(-8). Solve -3*y - i = 0, -y = -5*i - g - 11 for y.
1
Let v(z) = -z**3 - 5*z**2 + 2*z + 3. Let y be v(-5). Let g = y - -10. Solve -5*b - 15 = -5*c, g*c - 4*b - 18 = 2*c for c.
-2
Let b(v) = v**2 + 4*v - 7. Let j = 13 - 19. Let x be b(j). Solve -3 = x*i + 17, 2*c - 22 = 5*i for c.
1
Suppose -43 = -3*r + 17. Suppose -3*d + r = v, -8*d = -4*d - 4*v. Solve 3*m - 5*m + 4 = 0, d*z - 10 = 5*m for z.
4
Suppose 8 - 73 = -5*k. Solve -2*j + 22 = -4*t, j + 5*t = -k - 4 for j.
3
Let l = -44 - -46. Solve -i + 2*k + l = 0, i - 3*k = -4 + 9 for i.
-4
Let h(k) = -k**3 - 8*k**2 - k - 6. Suppose 45 = -9*b + 4*b. Let g = b + 1. Let s be h(g). Solve -3*p - 2*r - 11 = 0, -2*p + s*r - 13 = 3*p for p.
-3
Let q(g) = g**3 - 9*g**2 - 3*g + 31. Let l be q(9). Solve 0*v - 5*v + 3*j = 20, l*j + 12 = -3*v for v.
-4
Let d be (-2 - -4) + -1 + 1. Suppose 0 = -d*o + 4*o. Solve o = -p + 5*c + 8, -3*c + 4 + 0 = -5*p for p.
-2
Let n(b) = b**3 - 3*b**2 + 4*b - 3. Let f be n(2). Let q = f + 0. Let g(v) = 4*v**3 + v**2 - v + 1. Let h be g(q). Solve -h*j + 3 = t - 4, 4*j = 2*t + 14 for t.
-3
Suppose -6*u - 9 = -3*u. Let t be u + 1 - -4 - 2. Solve 2*s - 7*s = 2*h + 14, -5*s + 5*h = t for s.
-2
Let q(h) = h**2 - 12*h - 12. Let a be q(13). Suppose 4*l = l. Solve j + 5*v - 5 = l, 4*v = 2*j - 9 - a for j.
5
Suppose 2*z = 3*k - 1, 14 = -z + 6*z - 2*k. Suppose z*r = 2*r. Let j be -4*(-4)/8*(-10)/(-4). Solve j*c - 2*m + 12 = r, -c = 3*m + 9 + 7 for c.
-4
Suppose 0 = -6*y + 11*y - 10. Let j be (y/(-6))/((-1)/9). Solve -2*u + 4*x = -8, 5*x = 2*u - j - 9 for u.
-4
Suppose -2*r - 11 = -35. Suppose -f + 4 = -4*v - 4*f, -2*f = -2*v + r. Solve v*w - 10 = 3*k, w - 3*k - 6 = 2 for w.
2
Let s(c) = -c**2 + 11*c + 6. Let u = 3 + 8. Let t be s(u). Solve -3*k - z + 7 = -0*k, -4*k + t = 3*z for k.
3
Suppose -18 + 48 = 6*m. Solve -m*x - 10 = 5*z + 10, 0 = 2*z - 3*x + 13 for z.
-5
Suppose 0 = -2*g + 5*g
|
{
"pile_set_name": "DM Mathematics"
}
|
3000
What is 0.0002588 rounded to six decimal places?
0.000259
What is -8.15 rounded to one decimal place?
-8.2
Round 0.00012738 to 5 dps.
0.00013
What is -23.18 rounded to one dp?
-23.2
Round -17279 to the nearest 10000.
-20000
What is 36.6 rounded to the nearest 10?
40
Round 0.00529957 to 4 dps.
0.0053
Round 334760000 to the nearest 1000000.
335000000
Round 86320 to the nearest one hundred thousand.
100000
What is -529.84 rounded to 0 dps?
-530
What is -2689.4 rounded to the nearest 100?
-2700
What is 573259 rounded to the nearest one hundred thousand?
600000
What is 2249800 rounded to the nearest 100000?
2200000
Round 0.0008772 to three decimal places.
0.001
Round 1.0243 to 1 dp.
1
Round 94070 to the nearest 10000.
90000
What is 219350000 rounded to the nearest one million?
219000000
Round 87.5514 to the nearest integer.
88
What is -354080 rounded to the nearest one thousand?
-354000
What is 81.4 rounded to the nearest ten?
80
What is 0.0026093 rounded to 3 dps?
0.003
What is 6143 rounded to the nearest 100?
6100
What is 6999 rounded to the nearest 1000?
7000
Round -902570 to the nearest one hundred thousand.
-900000
What is -856.2 rounded to the nearest 10?
-860
What is 16.522 rounded to the nearest integer?
17
Round 0.016962 to 4 dps.
0.017
Round 3.531 to one dp.
3.5
Round -0.0204179 to 3 decimal places.
-0.02
Round -33307 to the nearest 10000.
-30000
What is 3333 rounded to the nearest one hundred?
3300
Round -933 to the nearest 100.
-900
Round 0.0000056391 to seven dps.
0.0000056
What is 2.926 rounded to one decimal place?
2.9
Round -0.0000168 to 5 decimal places.
-0.00002
Round 0.9848 to 1 dp.
1
What is 0.017 rounded to two dps?
0.02
What is -0.00003593 rounded to 6 dps?
-0.000036
What is 560100 rounded to the nearest 10000?
560000
Round -27738000 to the nearest 100000.
-27700000
What is 47100 rounded to the nearest ten thousand?
50000
Round -11300 to the nearest ten thousand.
-10000
What is -116.7 rounded to 0 decimal places?
-117
Round -201660000 to the nearest one million.
-202000000
What is -3.89 rounded to 1 decimal place?
-3.9
What is -1727000 rounded to the nearest one hundred thousand?
-1700000
What is 3842.6 rounded to the nearest one hundred?
3800
Round -0.0157179 to 3 decimal places.
-0.016
Round 0.087097 to three dps.
0.087
What is 1078450 rounded to the nearest one thousand?
1078000
Round -0.000020945 to seven dps.
-0.0000209
What is 0.006489 rounded to 3 dps?
0.006
Round -0.000089404 to 5 decimal places.
-0.00009
What is -78677 rounded to the nearest one thousand?
-79000
Round 4587 to the nearest 100.
4600
Round 23.6 to the nearest 10.
20
Round 2.0456 to 1 dp.
2
What is -19.8 rounded to the nearest integer?
-20
What is 0.003453 rounded to 4 dps?
0.0035
What is 0.04178 rounded to three decimal places?
0.042
What is -3319500 rounded to the nearest one million?
-3000000
What is -59.55 rounded to the nearest integer?
-60
Round -9611 to the nearest one hundred.
-9600
Round -130400 to the nearest 1000.
-130000
Round -0.101457 to two decimal places.
-0.1
What is -155 rounded to the nearest one thousand?
0
What is 1240 rounded to the nearest 100?
1200
What is -0.7044 rounded to 1 dp?
-0.7
What is -0.000062927 rounded to 6 decimal places?
-0.000063
Round 432680 to the nearest one hundred thousand.
400000
Round -5.693 to 0 decimal places.
-6
What is 1565.5 rounded to the nearest one hundred?
1600
Round 126.68 to the nearest 100.
100
Round 0.00013237 to 5 decimal places.
0.00013
Round -116.2 to the nearest 10.
-120
What is -2104000 rounded to the nearest 100000?
-2100000
Round 39.32 to the nearest integer.
39
Round -14.41 to the nearest integer.
-14
Round -493000 to the nearest ten thousand.
-490000
What is 17.634 rounded to 1 decimal place?
17.6
What is -218000 rounded to the nearest one hundred thousand?
-200000
What is -0.028734 rounded to four decimal places?
-0.0287
Round -0.62323 to one dp.
-0.6
Round 0.00001219 to 7 dps.
0.0000122
What is -0.1452 rounded to two decimal places?
-0.15
What is -4394.7 rounded to the nearest one thousand?
-4000
Round -10.9937 to one decimal place.
-11
Round -49.128 to the nearest 10.
-50
Round 0.000273119 to 4 dps.
0.0003
What is 2.88 rounded to the nearest integer?
3
What is 3580.6 rounded to the nearest 100?
3600
What is 27404 rounded to the nearest one hundred?
27400
What is 95.29 rounded to the nearest integer?
95
Round -0.003402 to four dps.
-0.0034
Round -7.6448 to 1 dp.
-7.6
Round -0.0000009912 to 7 dps.
-0.000001
What is -614100 rounded to the nearest one hundred thousand?
-600000
What is -287600 rounded to the nearest one hundred thousand?
-300000
What is -15057 rounded to the nearest one hundred?
-15100
Round 0.000019779 to 6 dps.
0.00002
What is -0.00004246 rounded to 6 dps?
-0.000042
Round 0.000008556 to 7 decimal places.
0.0000086
What is -2147050 rounded to the nearest 100000?
-2100000
What is 3460.3 rounded to the nearest one thousand?
3000
What is 1061 rounded to the nearest 10?
1060
Round -0.0002557 to five dps.
-0.00026
What is 0.02701 rounded to 4 dps?
0.027
What is 1377.2 rounded to the nearest 10?
1380
Round -12.31 to the nearest integer.
-12
Round 0.0000020527 to seven decimal places.
0.0000021
What is 9.537 rounded to 1 dp?
9.5
Round -25640 to the nearest 1000.
-26000
What is -0.62453 rounded to 2 decimal places?
-0.62
What is 200.8 rounded to the nearest 10?
200
Round -0.0000189475 to seven decimal places.
-0.0000189
Round 3566 to the nearest one thousand.
4000
Round -0.00000074447 to 7 decimal places.
-0.0000007
What is -0.0171847 rounded to two decimal places?
-0.02
Round -136.2 to the nearest ten.
-140
What is 0.00002112 rounded to 6 dps?
0.000021
What is 13847000 rounded to the nearest one hundred thousand?
13800000
Round 2.98 to zero dps.
3
What is 2936000 rounded to the nearest one hundred thousand?
2900000
What is -4344500 rounded to the nearest one hundred thousand?
-4300000
What is -0.00003153 rounded to 6 dps?
-0.000032
What is -0.00000519 rounded to 6 dps?
-0.000005
Round 4817.01 to the nearest 1000.
5000
Round -240.2 to the nearest 10.
-240
What is 0.0000036122 rounded to six dps?
0.000004
Round -0.00512 to 4 decimal places.
-0.0051
What is -427.05 rounded to the nearest 10?
-430
Round 17184 to the nearest one thousand.
17000
What is 0.0013162 rounded to six dps?
0.001316
Round -14.779 to zero dps.
-15
What is -0.00000706 rounded to seven dps?
-0.0000071
Round 0.00028713 to 6 decimal places.
0.000287
Round 109.371 to the nearest ten.
110
Round -0.000010163 to five dps.
-0.00001
Round -29.712 to 1 decimal place.
-29.7
What is 9.348 rounded to the nearest integer?
9
Round -29.465 to the nearest integer.
-29
What is 0.00902 rounded to 3 dps?
0.009
What is -1.0703 rounded to 2 decimal places?
-1.07
What is -1799 rounded to the nearest 1000?
-2000
Round -45.5 to 0 decimal places.
-46
What is -0.20032 rounded to two decimal places?
-0.2
What is 0.0000014595 rounded to seven decimal places?
0.0000015
What is -0.002839 rounded to 4 dps?
-0.0028
What is -8.59 rounded to 1 dp?
-8.6
What is 841100 rounded to the nearest one hundred thousand?
800000
What is 494.48 rounded to zero decimal places?
494
Round 0.0000000365 to 7 dps.
0
What is -1.2195 rounded to two decimal places?
-1.22
What is 0.00000025362 rounded to 7 dps?
0.0000003
Round -0.07437 to three decimal places.
-0.074
What is -581400 rounded to the nearest 100000?
-600000
Round 0.00003454 to 6 dps.
0.000035
Round -3389.7 to the nearest 10.
-3390
What is -0.07862 rounded to two decimal places?
-0.08
What is 0.001059 rounded to five decimal places?
0.00106
What is 29000 rounded to the nearest one hundred thousand?
0
What is 0.02005 rounded to 3 decimal places?
0.02
Round -0.00001738 to 6 dps.
-0.000017
Round -0.129637 to three dps.
-0.13
Round 0.000164871 to 6 dps.
0.000165
Round 9329 to the nearest one hundred.
9300
What is 0.000000243363 rounded to seven decimal places?
0.0000002
What is 0.00083791 rounded to 6 decimal places?
0.000838
What is 109 rounded to the nearest 100?
100
What is 0.0006753 rounded to four decimal places?
0.0007
Round -10546 to the nearest 1000.
-11000
What is -2.272 rounded to one dp?
-2.3
What is 2090 rounded to the nearest 1000?
2000
What is -1174.5 rounded to the nearest one hundred
|
{
"pile_set_name": "DM Mathematics"
}
|
. What is the common denominator of x and 65/6?
30
Let y = 40547/56 + -1013/8. Let i = y + -489238/819. Find the common denominator of i and -11/10.
1170
What is the common denominator of ((-2775)/(-444))/((-50)/(-70)) and ((-414)/64)/(-3) + -1?
32
Suppose 0*q = -4*q + 24. Suppose 384 = 4*p + 312. Suppose -p*h + 240 = -10*h. What is the smallest common multiple of h and q?
30
Let k = 7478/9 - 837. Let l be (3 - 133/(-9)) + (-2)/(-9). What is the common denominator of 8/l + (-9205)/(-3150) and k?
90
Let b(w) = 363*w + 13575. What is the least common multiple of b(-37) and 432?
432
Let g be 14/(-175)*-10 + 3/(-1). Let r = 53/40 + g. Calculate the common denominator of r and 23/20.
40
Let z = -65876 - -17918369/272. What is the common denominator of 5/136 and z?
272
Suppose 26 - 5 = 3*n. Calculate the common denominator of ((-3)/(-40))/(65/1625) and ((-71)/(-2))/(n + 11).
72
Let b = 142007701/834 + -170273. What is the common denominator of -31/16 and b?
6672
Find the common denominator of 107/200 and -1*8/(-28) - (-28153)/8554.
2600
Let k = -4486 - -4508. What is the lowest common multiple of k and 6?
66
Suppose 4*a + 152 = -o + 3*o, 5*a = -15. Let h = o + -137/2. What is the common denominator of (-78)/5*(-15)/30 and h?
10
Let v = -2631 - -3568. Calculate the smallest common multiple of v and 8.
7496
Suppose -3*c - 10*c = -10*c. Suppose -5*h - h = c. Suppose h = 3*b - 4*z - 46, -3*b = -b - 4*z - 28. Calculate the least common multiple of 9 and b.
18
Let i be ((336/(-10))/(-6))/((-2658)/35). Let d = -38827/27909 - i. Calculate the common denominator of d and -71/3.
63
Suppose 102*z - 264*z = -3476 - 88. Suppose -2*p - n = 4*n - 104, 20 = 5*n. Calculate the least common multiple of z and p.
462
Let h be (27474/24)/19 + (-1)/4. Let p = 80 - h. What is the least common multiple of p and 132?
660
Let f(w) = w**3 - 28*w**2 - 221*w + 231. Calculate the lowest common multiple of f(35) and 68.
4284
Let g = -28233/45364 - -9/1031. Find the common denominator of g and -17/1992.
21912
Suppose 5*o - o = -4*d - 8, 3*d = -4*o - 11. Suppose -8*i + 3*i = -2*t - 7, -d*t = -3*i + 6. What is the common denominator of (-13)/(i + (-7)/4) and 12?
3
Let i = -340/9 - -269/9. Let q = 795400 - 7168091/9. Let d = 1051 + q. Find the common denominator of i and d.
9
Suppose q + 39 = 4*u, -u - 15 = -5*q - 1. Suppose -w - 284 = -3*w. Calculate the smallest common multiple of u and w.
1562
Let x(g) be the second derivative of -g**5/20 - 17*g**4/12 + 8*g**3/3 - 33*g**2/2 + 49*g. What is the lowest common multiple of x(-18) and (-15)/(-2) - 2/(-4)?
24
Let x = -922294/45 + 20497. Let p = -176446/105 + 5045/3. Find the common denominator of p and x.
315
Let w = 19497 + -838455/43. Let c = w + 343/946. Calculate the common denominator of ((-3003)/(-144))/11 - 0 and c.
528
Let y be 1305/10 + 1/2. Let j = y + -128. Calculate the least common multiple of 14 and j.
42
Let b be (-66936)/168 - (-5)/3. Let t = 395 + b. What is the common denominator of t and -31/45?
315
Let h = -153/118 + 36523/27258. Let u = 19895/6006 - h. Calculate the common denominator of -77/78 and u.
78
Suppose 4*d - 3*d = -4*a - 31691, -158335 = 5*d - 4*a. Let q be d/53210 - (-6)/10. Let p = -24393/4382 - q. Find the common denominator of p and 26/11.
77
Let m = -312740123/800 - -390925. Calculate the common denominator of -9/56 and m.
5600
Let l = 1/443 - 41215/7088. Let b = -1581389146 + 10294843319393/6510. Let j = -390/217 + b. Calculate the common denominator of j and l.
240
Suppose 26*z + 5130 = 51*z - 295. What is the smallest common multiple of 784 and z?
24304
Let y = 1094 - 478. What is the smallest common multiple of 1120 and y?
12320
Suppose -12 = -3*b - b. Let t be (-10)/40 - (-2)/(24/195). Suppose t*z - 191 = 193. Calculate the smallest common multiple of b and z.
24
Let c(f) = -f - 1. Let x(r) = -4*r - 4. Let m(z) = -9*c(z) + 2*x(z). Let b(h) = -h**3 + 2*h + 1. Calculate the lowest common multiple of b(-2) and m(3).
20
Let j(a) = -5*a + 18. Let m be j(3). Suppose 21 + 75 = 2*p - 3*q, 134 = m*p - 2*q. Calculate the lowest common multiple of p and 30.
210
Suppose -20*g - 4199 - 5700 = -12419. What is the lowest common multiple of (3/(-6))/(1/(-12)) and g?
126
Suppose 0 = -9*a + 17 + 19. Let q be 1 + 5 - (a - 4). What is the common denominator of -43 and (-65)/(-12)*9/q?
8
Let w(c) = c**3 - 18*c**2 + 18*c - 135. Let a be w(17). Calculate the smallest common multiple of 147/(-98) + a/(-4) and 70.
140
Let n = 2/10277 + -873569/123324. Calculate the common denominator of n and -49/412.
1236
Let a = 6573081/9112 - 5771/8. Calculate the common denominator of -40/603 and a.
10251
What is the common denominator of (17870/(-3576) + (14 - 0 - 9))*23 and -11/30?
8940
Let i = -53955/16 + 3366. Let a = 573 + -933. What is the common denominator of i and 1804/a - ((-14)/10 - -1)?
144
Suppose 0 = -c - 8*a - 69, 36 = -172*c + 169*c - 5*a. What is the lowest common multiple of 1/((1/(-5))/(-1)) and c?
15
Calculate the common denominator of 3640/(-3090)*(-63)/(-14) - -5 and 2/4*(-64)/18.
927
Suppose 6*g - 65 = 55. Let n be 10/(-50) - (-198)/(-10). Let x = 30 + n. What is the smallest common multiple of g and x?
20
Let p be (-130)/(-30) - ((-2)/3 - -1). Suppose l = 5 - 1. Suppose l*m + 11 = -5*x - 1, 4 = p*m + x. What is the lowest common multiple of m and 6?
6
Find the common denominator of 1417/(-104) - -14 - 33/(-20) and 29.
40
Let n = 909083/7510386 + -2/51441. Let p = 8176 + -163483/20. What is the common denominator of p and n?
4380
Suppose -5*q + 14 = -4*l, 0 = 2*q + 169*l - 173*l - 8. What is the lowest common multiple of 8995 and q?
17990
Let n = 401558753/7868457684 - 2/5082983. Calculate the common denominator of -27/20 and n.
7740
Let j be 42/24 - (-1)/4. Let p(n) = -2*n**3 + 6*n**2 - 2*n - 1. Let z be p(j). Find the common denominator of -41/6 and (z/(-36))/((-8)/(-1068)).
24
Let t(g) be the third derivative of -g**5/60 + 2*g**4/3 + 2*g**3 + 20*g**2. Calculate the lowest common multiple of 14 and t(6).
504
Let l(d) = 4*d**3 - 27*d**2 + 8*d - 6. Let j be l(7). Suppose 100*f = j*f + 3. Calculate the lowest common multiple of f and 43.
129
Let a(k) = -k + 159. What is the lowest common multiple of a(82) and 77?
77
Let c be (-4)/5 - 119136/255. Let z = c - -538. What is the least common multiple of z and 84?
420
Suppose -b + 2*f - 3550 = 3*b, 2*b = -3*f - 1755. Calculate the common denominator of b/(-84) + (-4)/14 and (36/(-390))/(12/525).
52
Let r(o) = o**3 - 15*o + 7. Let u be r(-4). Calculate the common denominator of 74/33 and u*488/396 - (-2 - -4).
33
Let a be (-184)/(-3)*-45*(-17)/340. What is the common denominator of -23/43 and 23/a*639/24?
688
Let l = -56893/1806 - -2/903. Let a = -17985/74 + 373615/1554. What is the common denominator of l and a?
42
Suppose -4*f + 16 = 0, -2*f - 58 = -2*i + 38. Suppose -y + i = y. What is the least common multiple of (-2 - -16)*14/(-28) - -11 and y?
52
Let g = 35492/14235 + 38/949. What is the common denominator of g and 87/1190?
3570
Find the common denominator of ((-13412)/13405 + 1)*8 and 33/5.
1915
Let q be ((-2)/(-6))/((-1)/3). Calculate the smallest common multiple of (2175/125)/((-16)/(-10)) - (-1)/8 and (q - 4*-2)*1.
77
Let o be 0/((-12)/3) - -4. Let x = o + 52. What is the common denominator of ((-148)/x)/((-3)/9) and -29/2?
14
Let p(v) = -v**2 - 9*v - 8. Let j be p(-8). Let i be j/((-2)/(-2)) - 302092/126. Let x = -2394 - i. Find the common denominator of 59/5 and x.
45
Find the common denominator of 155/882 and 4182/156 - (-4)/(-13).
882
Let n = -1223/390 - -333/65. What is the common denominator of n and 47/572?
1716
Let g(a) be the first derivative of -a**3/3 + 10*a**2 + 15*a - 21. Let n be g(19). Calculate the least common multiple of 9 and 438/n - 1/17*-2.
117
Let u be 33*(0 + (42/9 - 3)). Let s = -48 + u. Suppose -s*c = -5*c - 100. Calculate the common denominator of -73/3 and c.
3
What is the common denominator of -109/2760 and 12/1 - (-35260)/(-984)?
2760
Let n = 348811/81120 - -1/16224. Calculate the common denominator of 76/813 and n.
8130
Suppose -10 = 2*w + l - 6, 0 = -w + 2*l + 8. Suppose w*a - 4*a + 132 = 0. What is the common denominator of -99/10 and a?
10
Let o = 186 - 183. Suppose 5*v = 5*g + 75, -5*g = -3*v - o*g + 42. What is the low
|
{
"pile_set_name": "DM Mathematics"
}
|
- 94. Calculate the remainder when j is divided by 16.
15
Suppose -3*g + 8 = -g. Let y = g - -11. Calculate the remainder when (58/3)/((-4)/(-6)) is divided by y.
14
Let w = 38 + 40. What is the remainder when w is divided by 27?
24
Suppose -c = 3*k - 11, 4*c - 128 + 52 = -4*k. Calculate the remainder when c is divided by 13.
10
Let r = 29 - 18. What is the remainder when (1302/(-63))/((-4)/6) is divided by r?
9
Suppose 47 + 9 = 4*l. Suppose y = -m + 5*y + l, -5 = 2*m + 3*y. Suppose 3*o + 1 = -2*o - 2*f, f - 1 = -4*o. Calculate the remainder when m is divided by o.
0
Suppose -5*c - 145 = -10*c. Calculate the remainder when 115 is divided by c.
28
Let t(b) = -3*b + 7. What is the remainder when 92 is divided by t(-4)?
16
Suppose 227 = 3*v + 2*n, 4*n - 39 = -2*v + 115. Calculate the remainder when v is divided by 20.
15
Suppose 2*i - 5*f - 99 = 0, 3*i = -4*f + 60 + 100. Suppose -2*w = 2*w - i. What is the remainder when 23 is divided by w?
10
Let i(j) = j - 2. Let g be i(8). Let b be ((-9)/g - -1)*0. Suppose -h - 4*h + 20 = b. Calculate the remainder when 10 is divided by h.
2
Suppose -24 = -4*n - 0*q + 4*q, -q - 22 = -5*n. Calculate the remainder when 6 is divided by n.
2
Suppose j + 5*t + 17 = 0, -j - 4*t - 3 = 10. What is the remainder when 5 is divided by j?
2
Suppose 3*w + 0*v = v + 67, 105 = 5*w - 5*v. Calculate the remainder when 66 is divided by w.
20
Suppose 20 = -4*y, -j + 7*y - 2*y + 40 = 0. What is the remainder when 70 is divided by j?
10
Calculate the remainder when 45 is divided by ((-240)/(-28))/(-5)*(-12 - 2).
21
Let m(w) = -w. Let i(d) = -13*d + 1. Let l(h) = -i(h) + 5*m(h). Calculate the remainder when 1/3 - 393/(-9) is divided by l(2).
14
Let t be (8/(-6))/(4/(-6)). Suppose -3*q + 13 = -t. Calculate the remainder when q is divided by 3.
2
Let u(c) = c**2 + 4*c - 8. Let a be u(-6). Suppose -s - 56 = -a*r, -2*r - 3*s = -5*r + 33. Calculate the remainder when 42 is divided by r.
12
Suppose 10*v + 96 = 14*v. What is the remainder when 47 is divided by v?
23
Suppose 3*o + 4*p + 4 = 0, 3*o - p - 14 - 2 = 0. Suppose -2*t = 5*z - 36, 7*z = 3*z + o*t + 40. What is the remainder when 23 is divided by z?
7
Let b be (-2)/5*1*-5. Let s = 21 - 14. Suppose 0 = -s*x + b*x + 50. What is the remainder when x is divided by 6?
4
Calculate the remainder when -3 + 336/7*(-2)/(-4) is divided by 10.
1
Let v = -4 + 8. Suppose 9*i = v*i + 3*h - 20, 0 = -i - h + 4. Calculate the remainder when (i - 1)*15*-1 is divided by 16.
14
Suppose v - 5*a + 18 = -18, -98 = 3*v - 5*a. Calculate the remainder when 2*(-2)/4*v is divided by 16.
15
What is the remainder when 133 is divided by 44*1 + 3 + -4 + 3?
41
Let s(m) = -m**3 - 3*m**2 + 4*m - 5. Let i be s(-5). Suppose -2 = p - i. Calculate the remainder when 68 is divided by p.
22
Suppose 98 = 5*k - 4*f, -12 = -f - 3*f. Suppose 0 = -3*j + 4*n - 8, 2*n - k = -3*j - 0*j. Suppose -3 = 5*d - 13. What is the remainder when j is divided by d?
0
Let b(i) = -i + 7. Let o be b(6). Let u(j) = j - 9. What is the remainder when 16/3 - o/3 is divided by u(11)?
1
Let j = -12 - -20. What is the remainder when (-32)/(-2) - 8/2 is divided by j?
4
Suppose -2*p = 5*a - 23, -5*p + 29 = 3*a - 0*p. Suppose -a + 13 = 5*x. Calculate the remainder when 3 is divided by x.
1
Suppose g = 2*c + 3*c + 11, 2*g = -c. Suppose -u + 9 = g. Suppose -4*k + 14 = -6. Calculate the remainder when u is divided by k.
3
Let p = 1 - -10. Calculate the remainder when -12*12/9*-2 is divided by p - (-2 - (-2 - 0)).
10
Suppose -5*g + 112 + 98 = 0. What is the remainder when g is divided by 15?
12
What is the remainder when 6*1*65/15 is divided by (-35)/2*(-12)/15?
12
Let t = -73 - -163. Suppose -j = 3*k + j - 65, -2*j = -k + 27. Calculate the remainder when t is divided by k.
21
Let u(k) = 3*k**3 + 3*k**2 - 3*k. Let m(n) = n**2 + 16. Calculate the remainder when u(2) is divided by m(0).
14
Suppose 5*a + 11 = -4*s + 40, 3*a = -3*s + 18. Calculate the remainder when 18 is divided by a.
3
Suppose -4*z = -54 - 54. Suppose 2*a + 2*g - 150 = 0, -g = -a + 30 + 55. What is the remainder when a is divided by z?
26
Let g = 66 - 36. Calculate the remainder when g is divided by 8.
6
Let z(u) = u**3 - 5*u**2 - 8*u + 8. Let n be z(6). Let b(q) = -q + 1. Calculate the remainder when b(-4) is divided by 2*(3 - n/(-2)).
1
Let y = 29 - 11. Calculate the remainder when y is divided by ((-28)/(-4) - -1) + -1.
4
Suppose 0 = r + 2*r - 66. Suppose 0 = 3*k + 4*h - 28, 2*k + h - 3*h = 14. What is the remainder when r is divided by k?
6
Suppose -2*r - 66 = -3*s - 414, 4*r = -s - 116. Let k = -68 - s. Suppose 5*o = -4*d + 41, 2*d - k = 5*o - 5. What is the remainder when 40 is divided by d?
12
Let d(j) be the third derivative of -j**4/12 - 2*j**3/3 - j**2. What is the remainder when (-58)/(-3) + 3/(-9) is divided by d(-7)?
9
Let r = -31 + 47. Suppose r = -0*l + 2*l. What is the remainder when 29 is divided by l?
5
Suppose -7*x + 12 = -3*x. Suppose -2*s - 15 = -y, -5*y = -2*s - 44 - 7. Calculate the remainder when y is divided by x.
0
Let x(d) = -d**3 + 12*d**2 + 27*d + 17. What is the remainder when 5 is divided by x(14)?
2
Let i = -111 + 150. Calculate the remainder when i is divided by 20.
19
Suppose -157 + 37 = -8*q. Suppose 5*c = 2*c + 3. Suppose 31 + c = 4*f. What is the remainder when q is divided by f?
7
Suppose -156 = -4*w - 20. What is the remainder when 101 is divided by w?
33
Calculate the remainder when 18 is divided by -4 - (-6 + -4 + (-4)/1).
8
What is the remainder when 19 is divided by (-4 + 4 + -11)/(-1)?
8
Let z be (-8)/(-6)*30/4. Let r = z + -7. Let q = 11 - 3. Calculate the remainder when q is divided by r.
2
Let s = -33 + 83. Let x = 29 + -3. Let y = 43 - x. Calculate the remainder when s is divided by y.
16
Suppose 13*a - 1092 = 9*a. Suppose 10 = 2*k, -6*b + 2*b + a = 5*k. Suppose o - 3*o = -32. Calculate the remainder when b is divided by o.
14
Let s = 28 + -12. Calculate the remainder when 61 is divided by s.
13
Suppose -4*l = -68 - 32. What is the remainder when 67 is divided by l?
17
Suppose -4*p = -6 - 2. Let y be (p + -4)/(2/3). Let m = y - -7. What is the remainder when 11 is divided by m?
3
Suppose 4*l + 10 + 114 = 0. Let q(g) = -3*g**2 - g - 2. Let r be q(2). Let t = r - l. Calculate the remainder when 28 is divided by t.
13
Let x(a) = -a - 12. What is the remainder when 41 is divided by x(-28)?
9
Let t(n) = 13*n - 3. Let v be t(-3). Let b = 60 + v. What is the remainder when 53 is divided by b?
17
What is the remainder when 1 + 44/(1 + 1) is divided by (-6 - 2 - -2)*-1?
5
Let y(o) = 3*o**2 - 5*o - 4. What is the remainder when 93 is divided by y(4)?
21
Let w = -7 - -14. Calculate the remainder when 19 is divided by w.
5
Let o(r) = -9*r - 10. Suppose -2*m - 4 - 10 = 0. What is the remainder when o(m) is divided by 18?
17
Let n(u) = u + 12. Let b be n(-7). Let t = b + 5. Calculate the remainder when 19 is divided by t.
9
Let k(f) = -f**3 + f**2 - f + 2. Let p be k(0). Suppose -p*l + 107 = -j, -5*j + 275 = 7*l - 2*l. Calculate the remainder when l is divided by 14.
12
Suppose a + 3*f + 130 = 3*a, -2*a - f + 146 = 0. Calculate the remainder when a is divided by 12.
11
Let j = -1 - -5. Suppose 0 = -5*m - 3*a + j + 90, 5*m - a - 82 = 0. Calculate the remainder when m is divided by 7.
3
Suppose -13 = -5*l - 3*s + 16, -5*l + 5 = -5*s. Suppose w - l*w = -90. What is the remainder when w is divided by 8?
6
Let j(i) = i + 7. Calculate the remainder when 39 is divided by j(3).
9
Calculate the remainder when 13 is divided by ((-24)/(-14))/2*112/8.
1
Suppose h - 2*b - 109 = 0, 3*b - 1 = 5. Calculate the remainder when h is divided by 38.
37
Let r(o) = 3*o - 6. Let i(y) = 3*y - 7. Let q(l) = -5*i(l) + 4*r(l). Let p(w) = 2*w**2 + 5*w. What is the remainder when q(-8) is divided by p(-4)?
11
Suppose 3*t - 48 = -0. What is the remainder when 29 is divided by t?
13
Let v be 6/(22/(-26) - -1). Suppose -2*z - 8 = -6*z. Suppose -z*a = a - v. What is the remainder when 23 is divided by a?
10
Let q(i) = -i + 13. Let m be q(10). Suppose 80 = m*a - 1. What is the remainder when a is divided by 10?
7
Let b = 3 - 1. Suppose -t = l - 21, -11 - 15 = -2*l + b*t. Let v = 187 + -122. Calculate the remainder when v is divided by l.
14
Let i(b) = -2 - 2*b - 2 + 5. Calculate the remai
|
{
"pile_set_name": "DM Mathematics"
}
|
a(m) = 3 - 3 - x + 2 + 5*m**2. List the prime factors of a(-3).
2, 11
Let r = 3020 + 10737. What are the prime factors of r?
13757
Let q(x) = 5655*x**2 + 45*x - 34. What are the prime factors of q(1)?
2, 2833
Let n(o) = 12*o**2 + 38*o + 4. Suppose -4*m + 2*r - 5*r = 21, -2*m = r + 11. List the prime factors of n(m).
2, 13
Let p(d) = 31*d**2 + 11*d - 8. Let o(u) = -10*u**2 - 4*u + 3. Let x(i) = -11*o(i) - 4*p(i). Let n be x(-1). Let q = -1 - n. What are the prime factors of q?
2, 7
What are the prime factors of (-40437 + 236)*((-36)/(-14))/(-3)?
2, 3, 5743
Suppose -4*x = -3*x - 4. Let b be 1/(-2)*x/(-1)*1. Suppose 3*q + 3*u - 198 = -0*u, b*u = -3*q + 198. List the prime factors of q.
2, 3, 11
Suppose 3*a - 14 = 4*x - 5*x, -2*a - 5*x = -5. Let w(h) be the first derivative of h**4/4 - h**3/3 + 13*h**2/2 - 7*h + 36. What are the prime factors of w(a)?
2, 79
Let s(z) be the third derivative of -z**4/3 - 55*z**3/6 + 17*z**2. Let b be s(-7). What are the prime factors of b*(-6)/(-2) - (-195 + 0)?
2, 3, 11
Suppose -867*j = -425*j - 788526 - 687312. What are the prime factors of j?
3, 7, 53
Suppose -4*t + 4*r - 76 = 0, -51 = 4*t - 3*r + 21. List the prime factors of (-14322)/t + (-5)/(-25).
5, 191
Suppose 0 = 171*p - 168*p - 48. Suppose p*r - 14*r - 378 = 0. What are the prime factors of r?
3, 7
Let c = -21739 + 41911. List the prime factors of c.
2, 3, 41
Suppose 3*z + 35 = 5*t, -z - 2*t = -0*t + 8. List the prime factors of -2*(-603)/z*-5.
3, 67
Suppose 3*k = 33*k - 150. Suppose 4*h = -3*w + 2860, 3*h = 2*h - k*w + 732. What are the prime factors of h?
2, 89
Let r(y) = y + 17. Suppose 166 = 2*w + 4*i, 2*w - 2*i + 43 - 221 = 0. Suppose -4*u + 63 = w. What are the prime factors of r(u)?
11
Suppose -195*l = -188*l - 38668. Suppose -5*w + p + 6902 = 0, 0 = -4*w - p + 3*p + l. List the prime factors of w.
2, 3, 5, 23
Suppose -2*u - 4*l + 4 = 2*u, 0 = -4*u + l + 14. Suppose -f - 26 = u*a - 2*a, -3*f = -3*a + 48. Let k = 16 - f. List the prime factors of k.
37
Suppose -2*n - 97 - 303 = 0. Let x(i) = i**2 - 36*i - 50. Let l be x(27). Let v = n - l. What are the prime factors of v?
3, 31
Suppose -2040 = -0*p - 2*p + 4*y, 3060 = 3*p - y. Let h = p - -70. List the prime factors of h.
2, 5, 109
Let y = -277 - -346. Suppose -62*a + y*a = 7294. List the prime factors of a.
2, 521
Let z(g) = 878*g + 46. What are the prime factors of z(7)?
2, 3, 43
Suppose -16*v - 76547 = -421219. What are the prime factors of v?
2, 10771
Suppose 52502 = y + 2*q - 7260, 3*y + 3*q - 179274 = 0. What are the prime factors of y?
2, 3, 23, 433
Let r(x) = -14*x - 16*x + 29*x + 27. Let u be r(27). Suppose -16*q = -u*q - 384. What are the prime factors of q?
2, 3
Let w = 202 + -219. List the prime factors of (3 + -107)*238/w.
2, 7, 13
Suppose -44292 + 4675 = -4*g - 5*l, 49467 = 5*g + 14*l. List the prime factors of g.
23, 431
Let u = -2 + 2. Let j(y) = -2*y + 60 + 2061*y**3 - 4 + 52 - 2062*y**3 + 3*y. List the prime factors of j(u).
2, 3
Let c be 1/(660/1820 + (-4)/14). Suppose 0*l = 4*l - 1532. Suppose g = 4*n + c - l, -3*g + 362 = 4*n. What are the prime factors of n?
2, 23
Suppose 5*s = 5*t + 2425, -4*t - 2 - 6 = 0. Suppose 0 = -5*o - 3*p - s + 1830, 2*o - p = 541. List the prime factors of o.
2, 3, 5
Suppose 4*o + 2*p = 248, 8*p - 3*p = -4*o + 242. Suppose j - 393 = -2*j. Suppose 4*n - 66 = -i + j, -n - 3*i + o = 0. List the prime factors of n.
2, 3
Suppose -14*z + 5558 = -210. Let p = 1046 - z. What are the prime factors of p?
2, 317
Let j be 4 + 640/36 + (-4)/(-18). Let l be j/4 + (-9)/6. Suppose l*u - 3*u = -m + 7, 5*u = 5*m - 5. What are the prime factors of u?
3
Let u(n) be the first derivative of -2/3*n**3 - 20*n - 30*n**2 - 11. List the prime factors of u(-27).
2, 71
Let n(r) = -r**2 - r - 1. Let a = -43 + 38. Let q(t) = 6*t**2 + 9*t - 2. Let f(s) = a*n(s) - q(s). What are the prime factors of f(0)?
7
Suppose -2*g - 2*g - 48 = -f, 0 = 4*f - 3*g - 218. Suppose 180 = -54*j + f*j. List the prime factors of j.
2, 3, 5
List the prime factors of (-17136561)/(-1599) + (-4)/82.
7, 1531
Let s(t) = -t**3 - 9*t**2 - 14*t + 3. Let d be s(-7). Let c(z) = 84*z**2 - 8*z + 17. List the prime factors of c(d).
7, 107
Let c(i) = 21*i**3 + 16*i**2 - 108*i + 50. What are the prime factors of c(15)?
5, 7, 2083
Let c(s) = 72*s + 2*s - 45*s - 187 + 32*s + 76*s. What are the prime factors of c(13)?
2, 797
Let z(u) = -u**2 + 8*u - 8. Let p be z(2). Suppose 35 = p*o - 1681. List the prime factors of o.
3, 11, 13
Let u(l) = l**3 - 6*l**2 + 2*l - 10. Let z be u(6). Let s(y) = 5*y + 17*y - 12*y**z - 12*y - 19 + y**3. List the prime factors of s(12).
101
Suppose -2*x + 138 = 2*a - 0*x, -2*a = 4*x - 144. Suppose a = -0*d + 3*d. Let k = 77 - d. List the prime factors of k.
5, 11
Suppose 488 = 2*j + 3*d - 1034, -4*d = 0. List the prime factors of (j/(-2))/(3/(9 - 15)).
761
Suppose 3*l - 3439 = 2*s, -10*l - 2295 = -12*l - s. List the prime factors of l.
31, 37
Suppose 0 = o - 18*o - 51. Let a(q) = 69*q**2 + 4*q. List the prime factors of a(o).
3, 7, 29
Suppose 4*m - k - 407 = 0, 3*k - k + 304 = 3*m. Let s be (m*(0 + -1) + 2)*1. Let o = -24 - s. What are the prime factors of o?
2, 19
Let b(y) = 83*y**2 + 2*y + 3. Let r be b(-3). Let g = r + -441. What are the prime factors of g?
3, 101
Let k = 97 + -74. Let l(g) = -g**2 + 43*g - 100. What are the prime factors of l(k)?
2, 3, 5
Suppose 4*o - 4 = 4. Suppose -1546 = -2*p - o*i, 3*p + p - 3093 = -5*i. Suppose -6*g = 5*a - 2*g - p, 3*g = 3*a - 447. What are the prime factors of a?
2, 19
Let m = 3953 + -1883. What are the prime factors of m?
2, 3, 5, 23
Suppose -3*m + 7 = -2*q, m - 2 = 5*q - 4. What are the prime factors of (-2)/(9597/3201 - m)?
11, 97
Let x be -3 + (-10)/(-4) - 6122/(-4). Suppose 0 = 25*d - 19*d - x. List the prime factors of d.
3, 5, 17
Let q(y) = 7*y**2 + 716*y + 97. What are the prime factors of q(-103)?
2, 3, 17
Let y = -175 - -183. List the prime factors of 169 - 2*4/y.
2, 3, 7
Let o(d) = -74*d - 10. Let u be o(-33). Suppose -3*h + 6*w = 3*w - 1824, 4*h = -3*w + u. What are the prime factors of h?
2, 19
Let u(m) = 420*m + 7. Suppose 7 = 3*b + 2*r, 7*b + 2 = 4*r + 1. What are the prime factors of u(b)?
7, 61
Suppose -1024 = -p + 4*u, -3*u + 2*u - 2076 = -2*p. Suppose 2*c + 5*q + p = 7*c, -4 = -q. What are the prime factors of c?
2, 53
What are the prime factors of ((14/(-5))/(15/25))/((-8)/6492)?
7, 541
Let r be -9 - (0/3 + 1). Let x = r + 20. Suppose 7*d - x*d + 243 = 0. What are the prime factors of d?
3
Let o(w) be the third derivative of w**4/4 - 4*w**3/3 + 4*w**2. Let u be o(3). What are the prime factors of (1/(-4))/((-2)/16) + u?
2, 3
What are the prime factors of 20649 - ((-4)/(-18) + 235/90*-2)?
2, 23, 449
Suppose -47*x + 41*x + 1290 = 0. Suppose -2*a + 27 = 5*o, o + 3*a - 6*a = 2. Suppose -g + x = -i, 3*i = -4*g + o*i + 860. List the prime factors of g.
5, 43
Let s = 48 + -45. Suppose 0 = -2*j - s*v + 815, 7*v = 5*j + 4*v - 1985. Suppose 0 = -19*r + 15*r + j. List the prime factors of r.
2, 5
Suppose -38*q + 4*b = -39*q + 11350, -3*q = -b - 33972. List the prime factors of q.
2, 7, 809
Let t be 964/((-8)/12*-3). Suppose 0 = -2*q + c + t, -c + 715 = 5*q - 490. Suppose -3*o - 73 - 62 = -3*p, o + q = 5*p. What are the prime factors of p?
7
Let f = 7738 - 5410. Suppose -q - f = -7*q. What are the prime factors of q?
2, 97
Let r = -271 - -347. Suppose r*u - 64*u = 13932. List the prime factors of u.
3, 43
What are the prime factors of 1*(-48)/40*1 - 687344/(-20)?
2, 17183
Suppose -341479 - 530958 = -49*o + 21078. What are the prime factors of o?
5, 7, 521
Let d(b) = -2*b + 3. Let k(c) = 3*c - 82. Let g(q) = 5*d(q) - k(q). List the prime factors of g(-9).
2, 107
Let u(c) be the second derivative of -c**3/3 + 113*c**2/2 - 4*c. List the prime factors of u(17).
79
Suppose -3159 = -h - 3*u, 3*h - 2*u - 12636 = -h. Suppose 5*n + 2*b - h = 5*b, 4*n - 2523 = b. Suppose 5*r - n = -r. List the prime factors of r.
3, 5, 7
Let u = -155 - -130. Let a be -2*u/(-10) - -3. What are the prime factors of ((-8)/a)/1 + 45?
7
Let t(q) be the second derivative of q**5/20 - q**4/12 - q**3/2 + 63*q**2/2 - 42*q. Let y be t(0). Suppose 2*g - y = 183. List the prime factors of g.
3, 41
Suppose 3*v - 15 = -4*l + 14, 5*l - 5*v - 45 = 0. Suppose 53 + 123 = l*i. What
|
{
"pile_set_name": "DM Mathematics"
}
|
prob of picking 2 h when two letters picked without replacement from {q: 7, h: 5}?
5/33
What is prob of picking 2 x and 1 e when three letters picked without replacement from xixixxxxxixxei?
9/91
What is prob of picking 1 e, 1 m, and 1 q when three letters picked without replacement from wvwwejvmqwwqqqqm?
1/56
What is prob of picking 3 o and 1 u when four letters picked without replacement from aeawuuwawwuwuao?
0
Calculate prob of picking 2 d and 2 x when four letters picked without replacement from {q: 1, d: 2, f: 6, n: 3, x: 2}.
1/1001
What is prob of picking 1 g, 1 o, and 1 b when three letters picked without replacement from {l: 4, b: 1, u: 1, g: 1, k: 2, o: 3}?
3/220
Calculate prob of picking 1 j, 1 g, 1 b, and 1 n when four letters picked without replacement from gbmnmjjgr.
2/63
What is prob of picking 2 g when two letters picked without replacement from zzgbjrzjezgj?
1/66
Four letters picked without replacement from {c: 6, o: 13}. What is prob of picking 2 o and 2 c?
195/646
What is prob of picking 2 p and 2 h when four letters picked without replacement from {h: 1, p: 12}?
0
Three letters picked without replacement from {w: 4, z: 3, a: 1, g: 3, l: 2, h: 2}. Give prob of picking 2 g and 1 w.
12/455
Calculate prob of picking 2 n and 1 p when three letters picked without replacement from {p: 5, b: 9, n: 5, f: 1}.
5/114
Calculate prob of picking 3 t and 1 h when four letters picked without replacement from yythxqyxxtqhytyyh.
3/2380
Four letters picked without replacement from {p: 10, y: 3, m: 2}. Give prob of picking 2 y, 1 p, and 1 m.
4/91
Calculate prob of picking 2 e when two letters picked without replacement from {e: 3}.
1
What is prob of picking 2 n when two letters picked without replacement from {e: 3, n: 17}?
68/95
What is prob of picking 1 a and 2 r when three letters picked without replacement from uuauuadddurddad?
0
Calculate prob of picking 1 q and 1 w when two letters picked without replacement from {z: 10, w: 2, q: 4}.
1/15
Two letters picked without replacement from bjjjjjjjb. What is prob of picking 2 j?
7/12
Four letters picked without replacement from vtmtxxxtxxtttt. Give prob of picking 1 v, 2 t, and 1 m.
3/143
Two letters picked without replacement from {q: 1, i: 7}. Give prob of picking 1 q and 1 i.
1/4
Four letters picked without replacement from ggwgggwgggggwgggwggg. Give prob of picking 1 w and 3 g.
448/969
Three letters picked without replacement from lsssklesrsl. Give prob of picking 1 e, 1 k, and 1 l.
1/55
What is prob of picking 1 c and 1 t when two letters picked without replacement from {n: 2, t: 2, o: 5, i: 2, c: 1, j: 1}?
1/39
Calculate prob of picking 2 l and 1 t when three letters picked without replacement from {t: 2, l: 10, w: 6}.
15/136
Two letters picked without replacement from uwa. Give prob of picking 1 w and 1 a.
1/3
Calculate prob of picking 1 n and 1 t when two letters picked without replacement from {t: 1, b: 5, d: 4, n: 1, o: 7, k: 2}.
1/190
Four letters picked without replacement from tnbnhtnnbth. Give prob of picking 3 t and 1 b.
1/165
Three letters picked without replacement from {i: 7, x: 2, r: 4, p: 1, f: 2}. What is prob of picking 1 x, 1 r, and 1 f?
1/35
What is prob of picking 1 u and 2 i when three letters picked without replacement from igiuu?
1/5
Calculate prob of picking 1 b and 1 a when two letters picked without replacement from {h: 2, b: 2, s: 2, i: 3, a: 1, v: 2}.
1/33
Two letters picked without replacement from {c: 2, v: 10, y: 4, t: 2, u: 1}. What is prob of picking 2 y?
2/57
Four letters picked without replacement from {u: 10, z: 2, a: 4, e: 4}. What is prob of picking 3 u and 1 z?
16/323
Calculate prob of picking 1 u, 1 c, and 1 a when three letters picked without replacement from {m: 1, v: 11, a: 1, u: 2, c: 1, j: 2}.
1/408
Calculate prob of picking 2 y and 2 u when four letters picked without replacement from {y: 3, n: 4, q: 10, u: 2}.
1/1292
Two letters picked without replacement from eejjrjeemerm. What is prob of picking 2 m?
1/66
Calculate prob of picking 2 n and 2 d when four letters picked without replacement from dpndqznrnpddpn.
36/1001
Three letters picked without replacement from yxxfvvccyyxyyxtyctxy. Give prob of picking 1 t and 2 y.
7/190
Three letters picked without replacement from {b: 2, m: 2, q: 1}. What is prob of picking 1 m and 2 b?
1/5
What is prob of picking 1 c and 1 z when two letters picked without replacement from {c: 1, g: 4, j: 2, y: 1, z: 1}?
1/36
What is prob of picking 1 p and 2 j when three letters picked without replacement from {z: 9, j: 6, p: 1, q: 3}?
5/323
Four letters picked without replacement from jffffjfjjf. What is prob of picking 2 f and 2 j?
3/7
What is prob of picking 1 s, 1 u, and 2 z when four letters picked without replacement from csvzsusvvszvzuzssvsv?
28/1615
Two letters picked without replacement from {b: 1, a: 4, h: 2, y: 2, z: 6}. Give prob of picking 1 a and 1 z.
8/35
Calculate prob of picking 1 w and 1 b when two letters picked without replacement from wvqxbqv.
1/21
Two letters picked without replacement from lfl. What is prob of picking 1 l and 1 f?
2/3
Calculate prob of picking 2 v when two letters picked without replacement from {l: 2, v: 6}.
15/28
What is prob of picking 2 x and 1 s when three letters picked without replacement from {l: 2, a: 2, x: 11, s: 1}?
11/112
Four letters picked without replacement from {z: 4, s: 1, e: 2, a: 2, i: 2, k: 4}. What is prob of picking 1 i, 2 z, and 1 s?
4/455
What is prob of picking 1 w and 1 p when two letters picked without replacement from uwqyypw?
2/21
Three letters picked without replacement from {q: 4, n: 1, p: 2, b: 4, v: 3, c: 3}. Give prob of picking 1 c and 2 p.
3/680
Calculate prob of picking 1 d and 2 p when three letters picked without replacement from updslpud.
1/28
Four letters picked without replacement from aiaaaaiaaaaa. What is prob of picking 2 i and 2 a?
1/11
Four letters picked without replacement from yygttiyggigygttqg. Give prob of picking 3 y and 1 i.
2/595
Calculate prob of picking 1 a, 1 s, and 1 p when three letters picked without replacement from saspsappsspaaa.
25/91
Four letters picked without replacement from {l: 2, m: 11, x: 3, y: 3}. Give prob of picking 2 x, 1 l, and 1 y.
3/646
Two letters picked without replacement from belggbleezleeleesbes. What is prob of picking 1 b and 1 z?
3/190
Three letters picked without replacement from {s: 5, w: 6, a: 2}. What is prob of picking 2 w and 1 a?
15/143
Two letters picked without replacement from {v: 5, e: 4, t: 3, k: 1}. What is prob of picking 2 t?
1/26
What is prob of picking 1 m and 1 s when two letters picked without replacement from {r: 1, s: 1, o: 1, m: 2, e: 2, p: 1}?
1/14
Calculate prob of picking 2 e when two letters picked without replacement from {q: 1, x: 3, l: 2, e: 3, f: 4, g: 2}.
1/35
Calculate prob of picking 2 m when two letters picked without replacement from mdmpggdpugugmmpdx.
3/68
What is prob of picking 2 h and 2 t when four letters picked without replacement from {t: 6, h: 12}?
11/34
Four letters picked without replacement from {f: 3, y: 1, e: 2, n: 1}. What is prob of picking 3 f and 1 y?
1/35
Calculate prob of picking 2 y, 1 s, and 1 x when four letters picked without replacement from yrxgygsygygy.
2/99
What is prob of picking 1 h and 1 z when two letters picked without replacement from hxzjz?
1/5
Calculate prob of picking 2 v when two letters picked without replacement from vvnvnvnvvvnnvnvvvvv.
26/57
Two letters picked without replacement from {u: 1, e: 4, f: 1, w: 1, m: 1}. What is prob of picking 2 u?
0
Two letters picked without replacement from wtvv. Give prob of picking 1 t and 1 w.
1/6
Three letters picked without replacement from wwjsiwssjwiswoowsoow. What is prob of picking 1 o and 2 i?
1/285
Calculate prob of picking 2 k and 1 o when three letters picked without replacement from opkmmmmkmmmmm.
1/286
Four letters picked without replacement from {t: 6, y: 2, a: 4}. Give prob of picking 1 t and 3 a.
8/165
Calculate prob of picking 1 b and 1 s when two letters picked without replacement from {b: 14, s: 1}.
2/15
Three letters picked without replacement from {o: 2, m: 3, k: 3, f: 3, n: 3, p: 1}. What is prob of picking 1 f and 2 k?
9/455
Two letters picked without replacemen
|
{
"pile_set_name": "DM Mathematics"
}
|
s**6/30 - 7*s**5/60 + 2*s**3/3 + 5*s**2. Is g(5) a composite number?
True
Let j(z) = 135*z**2 - 2*z + 2. Is j(3) composite?
True
Let y(u) = 76*u**2 + 2*u + 5. Is y(4) a composite number?
False
Let d = -8 - -12. Suppose 0 = -5*o - d*c + 5*c + 250, 2*o + 2*c = 88. Is o a composite number?
True
Let w(k) = -4*k + k - 1 + k - 7*k. Is w(-6) a composite number?
False
Suppose -371 - 65 = -4*u. Suppose 0 = -26*m + 28*m - 60. Let y = u - m. Is y composite?
False
Suppose -4 = -q - 3. Let c be 148 + q - (5 + -4). Suppose 2*w = c - 42. Is w prime?
True
Let t(z) = 7*z**2 - 8*z + 5. Let a be t(5). Suppose 0 = -5*n + 15 + a. Is n prime?
True
Let b(z) = -z**3 + 13*z**2 + 16*z + 13. Is b(13) composite?
True
Suppose 1207 = 5*o - 4763. Let h = o - 547. Is h a composite number?
False
Suppose 3*a = -0*a - 5*m + 452, -5*a = -2*m - 743. Is a a composite number?
False
Let o(h) = 2*h**3 + 4*h**2 - 3*h + 7. Is o(4) prime?
False
Let k(i) = 13*i + 1. Let z(y) = -5*y - 1. Let g be z(-1). Suppose g*n = -3*s - 1, -5*s = -4*s - 4*n - 5. Is k(s) a composite number?
True
Suppose -3*a = 5*r - 401, 4*r - 5*a - 132 = 174. Is r a composite number?
False
Let v(g) = g - 5. Let l be v(5). Suppose 405 = 3*a - 4*x, 2*x = -4*a - l*a + 518. Is a composite?
False
Suppose 0 = 4*q + 2*g + 6, 0 = 4*q - 5*g + 31 + 10. Is 4/16 - 99/q prime?
False
Is 1916/18*3*(-39)/(-26) prime?
True
Suppose m - 5*j - 9838 = -2*m, -2*m + 2*j + 6552 = 0. Is m a composite number?
False
Let y(c) = c**3 + 3*c**2 + 1. Let k be y(-3). Is k/(-8)*-4*50 a composite number?
True
Let l(a) = -a**2 + 5*a + 9. Let y be l(7). Let h(w) = -w**3 - 5*w**2 + 3*w + 1. Let c be h(y). Is (-4 - -2)/(2/c) a prime number?
False
Let o(a) be the second derivative of -89*a**5/120 - a**3/3 + 2*a. Let t(x) be the second derivative of o(x). Is t(-1) composite?
False
Suppose -2*d + 4226 = 1422. Is d prime?
False
Let a(h) = 73*h**2 + 1. Suppose 5*r + 4*m + 0 = 2, 0 = 3*r + 3*m - 3. Is a(r) prime?
True
Let b = -90 + 509. Is b a composite number?
False
Suppose 0 = -5*d + 5*b - 0*b + 700, -d = b - 138. Is d a prime number?
True
Let t = -168 - -307. Is t composite?
False
Suppose 0 = 34*o - 32*o - 170. Is o a composite number?
True
Let g = 6 - 4. Suppose 5*d - 10 = 0, 25 = -g*p + 2*d + 101. Suppose 5*i - p - 70 = 0. Is i composite?
True
Let m = 471 + 1358. Is m composite?
True
Let o(z) = 13*z - 2. Is o(9) a composite number?
True
Suppose -2*k + d + 2*d - 315 = 0, 2*k + d = -319. Let n = k - -234. Let v = n - -4. Is v composite?
False
Let g be -3 - (-57)/(-1 + 2). Suppose 3*w = -4*n + 617, g = n - 4*w - 124. Is n composite?
True
Let h(x) = 23*x - 9. Is h(28) a composite number?
True
Let k(b) = -2*b**2 + 4. Let i(p) = 4*p**3 + 2*p**2 - 1. Let j be i(-1). Let w be k(j). Is (-4)/(-14) + (-1074)/w composite?
True
Let i(r) = -390*r - 7. Is i(-4) composite?
False
Suppose -625 + 185 = -5*k. Suppose 154 + k = 2*w. Is w a composite number?
True
Suppose -3*k - 15 = -2*k + 5*g, 2*g + 33 = 5*k. Suppose -b = 3*b + k*r - 55, -b - 2*r = -13. Is b composite?
True
Let y(s) = 3*s**3 - 10*s**2 + 9*s - 16. Is y(7) composite?
True
Suppose -5*v - 14 = 6. Let n = v - -4. Is 1 + (n - -1) + 11 a prime number?
True
Let a(m) = m + 1. Let q be a(4). Suppose -36 = -q*c + 359. Is c a prime number?
True
Suppose -919 = -5*z + 736. Is z composite?
False
Suppose 3*a - 4*t - 6 = 0, 4*a = 5*a + t - 2. Is (-3)/(a/2) + 126 prime?
False
Is 1*(-5)/(-10) + (-955)/(-2) composite?
True
Let d = -13 - -7. Is (-790)/(-15)*d/(-4) a composite number?
False
Let i(w) = -w**2 - 7*w - 4. Let c(q) = -q - 2. Let a be c(4). Let s be i(a). Suppose s*x + 0*x - 50 = -y, 2*y = -4. Is x prime?
False
Is (-4 + 2)*(-1)/(-5)*-295 a composite number?
True
Is (-4 - -1) + 521 - -3 composite?
False
Let n(q) = q**3 - 7*q**2 + 4*q - 8. Let i be n(7). Suppose 0 = -6*y + y + i. Suppose 2 - 62 = -y*f. Is f prime?
False
Let i = -1 - -6. Suppose -i*z + 745 = -0*z. Is z composite?
False
Suppose 5*l + 18516 = 17*l. Is l a prime number?
True
Let o(u) = 2*u**3 + 3*u**2 - 4*u - 3. Is o(4) a prime number?
True
Let i be 1197 - (-3 + 3 + -2). Suppose -3*r + 725 = 2*c, 5*r + 5*c - 4*c = i. Is r prime?
True
Let t(l) = 8*l**3 + 7*l**2 - 4*l + 7. Let g(m) = -4*m**3 - 4*m**2 + 2*m - 4. Let a(o) = -5*g(o) - 3*t(o). Is a(-2) a prime number?
True
Let t(d) = -3*d**3 - 5*d**2 + 9*d - 4. Let j(x) = 2*x**3 + 6*x**2 - 9*x + 4. Let r(u) = -4*j(u) - 3*t(u). Is r(9) a prime number?
False
Suppose -12430 + 2589 = -13*c. Is c composite?
False
Suppose 0 = 5*m, 4*m - 893 - 1367 = -5*p. Suppose -2*i = i + 4*h - 339, 3*h = -4*i + p. Suppose -5*v + 3*l + 146 = -v, 3*v = 4*l + i. Is v a composite number?
True
Let b(i) = -i - 8. Let w be b(-8). Let g be 2 - (-19 + w + 1). Is 4/g - 788/(-10) a prime number?
True
Suppose -38 = 2*o - 4*v, 0*v = -3*o + v - 32. Let a be 74/o - 8/(-36). Is ((-15)/4)/(2/a) prime?
False
Let p = 1 + 4. Suppose -p*t = -3*t - 158. Is t prime?
True
Let w = 265 - -186. Is w composite?
True
Let s = 6 - 4. Suppose -x + s*x - 2 = 0. Suppose w + x*w - 111 = 0. Is w prime?
True
Let y(p) = -p + 1. Let v be y(3). Is 776/12*(-3)/v composite?
False
Is (-4)/22 - 12735/(-165) composite?
True
Suppose 25 - 75 = 5*y. Let j = 107 + y. Is j composite?
False
Suppose 0*b = -5*b. Suppose b = 2*k + 5*x - 561 + 162, -3*x + 603 = 3*k. Is k a prime number?
False
Let a(p) = -p**3 - 7*p**2 - 4. Suppose 0 = 3*q - 3*l + 13 + 8, -l - 21 = 3*q. Let m be a(q). Let j(k) = k**3 + 4*k**2 - 4*k - 3. Is j(m) a prime number?
True
Let i(d) = 64*d. Let a be i(-4). Let m be (-6)/27 + a/(-18). Suppose -3*h + m = -h. Is h a prime number?
True
Suppose -6*x + 3*x + 1005 = 0. Suppose b = -4*b + x. Is b a composite number?
False
Is 0 + -1 + 27*(-24)/(-9) prime?
True
Let z(g) = -g**3 + 9*g**2 + 12*g - 11. Is z(8) prime?
True
Let m(j) = j**3 + 7*j**2 + 5*j + 7. Let y be m(-6). Suppose 0 = -4*d - 1 + y. Suppose d*b + 4*w - 90 = b, 3*b = -4*w + 145. Is b composite?
True
Let i = 884 - 436. Suppose m - 3*d - 221 = 0, 3*m = 4*d + i + 195. Is m a composite number?
True
Let o be 1/(-4) + (-333)/(-36). Is ((-317)/(-3))/(3/o) prime?
True
Let x be (9/(-6))/(1/(-2)). Suppose -x*y - 2*m + 55 = 0, y + 40 = 5*y - 4*m. Is (-308)/(-10) - (-3)/y a composite number?
False
Suppose 2*o + 372 = -o. Let b = -73 - o. Is b a composite number?
True
Let j(f) = -f + 10. Let w be j(7). Suppose a = -w*a + 228. Is 6/8 + a/4 prime?
False
Suppose z + 2 = 0, 7*h - 2*h - 4*z - 623 = 0. Is h composite?
True
Let h = 59 + -33. Is h a prime number?
False
Let y be 6/(-4 - -2) + -6. Is 2/9 - 205/y composite?
False
Let v(t) = -2*t**2 - 2*t + 350. Let d be v(0). Let a = 355 - 210. Let o = d - a. Is o a composite number?
True
Suppose 1167 = 12*s - 9*s. Is s composite?
False
Let j = -200 + 743. Is j composite?
True
Suppose q + 3140 = 9*c - 4*c, -4*c + 3*q + 2501 = 0. Is c a prime number?
False
Let c(t) be the second derivative of t**3/6 - t**2/2 - 2*t. Let p be c(6). Suppose n - 5*n + 79 = 5*a, 0 = 4*a - p*n - 96. Is a a composite number?
False
Let y(k) = -2 + 0 + 0 - 10*k - 1. Let v = -5 + -2. Is y(v) composite?
False
Is (-10)/(-25) + (-4506)/(-10) a prime number?
False
Suppose 4*r + 33 = 5*r. Suppose -239 = 4*u - 5*d, 3*u + 2*d = r - 195. Is ((-3)/(-4))/((-2)/u) composite?
True
Let h be (9/6)/(2/60). Let m(o) = -o + 7. Let i be m(5). Suppose i*d = -d + h. Is d prime?
False
Suppose 5*s - 185 = -0*s. Is s a composite number?
False
Suppose -5*y + 6*y = 0. Is (1 - 0) + y + 2 a composite number?
False
Let f = -4 + 7. Suppose -o - f*o = -212. Is o composite?
False
Let w(o) = 2*o**3 + 11*o**2 - 5*o - 8. Let x(n) = -3*n**3 - 12*n**2 + 6*n + 9. Let z(t) = -4*w(t) - 3*x(t). Is z(8) a prime number?
False
Suppose -2*o + 4*d = -934, 6*o + d = o + 2346. Is o a composite number?
True
Let p(f) = f**2 + 5*f - 11. Let t be p(-8). Let v(z) = -t + 0 + z**2 + 3*z - 4*z + 0*z**2. Is v(10) prime?
False
Let r = 6 + -6. Is 140 + (-2 + 5 - r) composite?
True
Suppose 373 = 3*n - 164. Is n composite?
False
Suppose -4*w - 5*h = -134, 0 = 5*w - w - 5*h - 114. Is w a prime number?
True
Let m = 72 + 131. Is m composite?
True
Suppose 0*c - 825 = -4*c - 3*k, -1034 = -5*c - k. Let w = c - 120. Is w a composite number?
True
Is (1 - -1252) + (12/(-4) - -5) a prime number?
False
Let d(j) = 8*j**3 - j**2 + 4*j - 3. Let l be d(4). Let x = l - 190. Is x compos
|
{
"pile_set_name": "DM Mathematics"
}
|
- 3*m, -3*a - m = -f*m + 2. Solve -p + 5 = 0, -a = -3*u + 2*p - p for u.
2
Let o = 224 - 220. Solve 4*k = -b + 3 - o, 3*b - 5*k + 3 = 0 for b.
-1
Let d = 27 - 15. Let s be ((-2)/(-4))/(2/d). Solve -3*z - 2*z - 12 = 3*l, -s*l + 9 = -2*z for z.
-3
Suppose 11 + 13 = 3*s. Let t = -4 + s. Let f(k) = 2*k - 4. Let h be f(4). Solve -h*d = -4*z - 4, -5*z + 3*z = -d + t for z.
-3
Suppose -5*k + 2 = -0*k + 2*m, 4*m - 4 = -4*k. Let w = 1 + k. Solve g = h, -3*h + 16 = w for g.
5
Let g = 0 - -4. Suppose -g*m + 2*m = 0. Suppose -3*f + 11 + 4 = 0. Solve f*a + u - 21 = 0, 2*a + u - 2*u - 7 = m for a.
4
Suppose 16*b = -21 + 133. Let d(n) = n + 10. Let s be d(-6). Solve 2*o = -4*x - 10, -s*x = b*o - 3*o + 4 for o.
3
Let r(p) be the third derivative of -1/4*p**4 + 0*p - 5*p**2 + 1/60*p**5 + 1/3*p**3 + 0. Let s be r(6). Solve 3*i - 3 = s*g, 5*i = 2*i - 5*g + 24 for i.
3
Suppose 2*l + 2*h = -h + 6, -h = -3*l + 20. Let o = -7866 - -7871. Solve 18 = -l*s + o*s - 5*g, 0 = 3*g + 12 for s.
2
Let z be 26/6 + (-4)/12. Suppose -w = -z*w. Suppose w = -5*u + 6*u. Solve 5*x - 4*m + 45 = u, -x - m + 15 = -3*x for x.
-5
Suppose -157*k = -156*k - 4. Solve 0 = x - k*q - 2 + 7, 5*q - 3 = -2*x for x.
-1
Suppose -44*t + 191 = 59. Solve -v - 8*p + 10*p + 4 = 0, -1 = v + t*p for v.
2
Let m = -112 - -116. Solve -3*j - j - 24 = -3*k, 12 = -m*j for k.
4
Suppose 2*n = 4*a - 12, 3*n - 6 = a - 2*n. Suppose t = 3*t - a. Let q = -5 - -8. Solve -t*i = 5*m + 22, -2*i + 3*m = -q*i - 13 for i.
-1
Let t be 15/3*(1 - 0). Let u be ((-6)/(-4))/((-9)/(-150)). Solve j = -l + 4, t*j + 5 = 4*l + u for l.
0
Let d be (0 + 3/(-3))*0. Suppose c = -d*c + 25. Let x(o) = -o + 10. Let z be x(7). Solve 3*w + 4*a = 6*w - z, 5*a = -2*w + c for w.
5
Let r be (-26)/(-8) + (-413)/(-236). Solve 2*o - 21 = 5*t, -2*t - r - 4 = -o for o.
3
Suppose x - 3*x = 2*q + 4, 5*q + 3*x = 0. Solve -3*z - 30 = -3*w, -4*z - 2*w - 13 = -q for z.
-5
Let i = -623 + 630. Solve 0 = 5*t - 2*d - 1, -3*d = i + 2 for t.
-1
Let c(d) be the second derivative of -d**3/6 + 12*d**2 + 2*d. Let q be c(10). Let r be 4/q - 133/(-49). Solve -4*w - 15 = -3*i, 7*i - r*w = 4*i + 12 for i.
1
Suppose 12 = -6*d - 0. Let q be d/(-4)*(5 - 3). Solve -f + 4*c + 11 + q = 0, f = -4*c - 12 for f.
0
Let j = 1 - -2. Suppose -s = -3 - j. Let m be 32/s + (-3)/9. Solve 5*t + 9 = 4*n, 4*t = -0*n + m*n - 9 for t.
-1
Suppose 0 = 5*x + 10, -2*u = u + x - 4. Solve u*l + 11 + 2 = 3*j, 0 = 4*j + 5*l + 21 for j.
1
Let v = 5 + 4. Suppose -59 - v = 4*x. Let i = x + 21. Solve u + 16 = -i*j - 4*u, 5*u = 3*j - 23 for j.
1
Let t be ((-6)/18 - 2/(-6)) + 18. Suppose 3 = -3*j, 0 = 4*g - 3*j + j - t. Solve 3*r = r - 3*m - 4, -4*m = 2*r + g for r.
-2
Suppose -4*i - 4 = -16. Solve 5*v - 5*m = -25, -i*m + 0 + 6 = 0 for v.
-3
Suppose -3*h = -2*w - 50, -4*h + 75 = 5*w - 6*w. Solve -5*x = 4*t - 45, 3*x + 0*t = -t + h for x.
5
Suppose 209 - 9 = 50*w. Solve 0 = 5*t + w*q + 27, q = -4*t - 3*q - 24 for t.
-3
Let n(z) = z + 56. Let c(f) = f + 1. Let l(q) = 6*c(q) - n(q). Let m be l(10). Solve u + 2*p + 7 = m, -u - 5*p = -p + 9 for u.
-5
Suppose 5*f - 294 + 184 = 0. Solve -3*s + 5*w = -f, 3*s - 5*w = -s + 21 for s.
-1
Suppose -2*a = -2, -2*a - a = -v + 11. Suppose -5*q + 2*o + 22 = 5*o, o - v = -3*q. Solve 6*r - 4*r = -3*n, 0 = 2*r - q*n + 16 for r.
-3
Suppose -3*i + 2*f = -49, 7*i - 54 = 3*i - 3*f. Suppose 7*h - i = 4*h. Solve -4 = -h*u - 3*x - 13, 3*u + 17 = 4*x for u.
-3
Let a(d) = d**2 - 8. Let p be a(-6). Let r be 2 + -2 + 0 + 2. Let b be 705/135 - 4/18. Solve -5*l + 9 + 18 = -r*y, 3*y - b*l + p = 0 for y.
-1
Suppose 1 = -l - 1. Let s(w) = 5*w**2 - 4*w - 3. Let u be s(l). Solve 0 = -2*i - 10, i = -3*d - d - u for d.
-5
Let w = 30 + -28. Let b(m) = 13*m - 21. Let l be b(w). Solve j + s + 11 - l = 0, 3*j = 3*s - 6 for j.
-4
Suppose -2*a + 30 = 5*x, -2*x + 2*a = x - 18. Suppose 3*l - x - 12 = 0. Solve 12 = -4*j - 4*h, -3*h - l - 3 = 2*j for j.
0
Let z(f) = 9*f**3 - 10 - 22*f**3 - f + 14*f**3 - 4*f**2. Let h be z(5). Solve o - 3 = -0*y + y, 3*y + h = 2*o for o.
-1
Suppose 12 = 3*h + z, 0 = 3*h - 0*h + 4*z - 21. Suppose -5*l = 4*f + 5, -4*l = -0*l + 4. Solve f = -w + i - 1, -h*i - 5 = 5*w for w.
-1
Let i(v) = -v**3 - 17*v**2 + v + 24. Let n be i(-17). Let d = n - 4. Solve 2*f + 2*a - d = 3, -f + 2*a - 9 = 0 for f.
-1
Let z = 9 - 5. Suppose -3 = -z*c + 9. Suppose -5*a = -k - 164, 5*a - c*k - 176 = k. Solve a = -4*j - 3*p, 0 = -5*j + 4*p - 8 - 1 for j.
-5
Suppose -x + 2*x - h = 32, h + 62 = 2*x. Suppose 7*p = 2*p - x. Let c be 6*(9/p - -2). Solve 3*j - 3*d = c, 3*d + 7 = -j + 2*d for j.
-3
Suppose 0*a = -3*n - 5*a - 10, -4*a = 5*n - 5. Suppose i + 3 = 0, 4*l + 4*i - 8 = -0*l. Solve -r - 14 = -n*j + r, j + l = 3*r for j.
4
Let g(x) = x**2 + 9*x - 12. Let p be g(-10). Let h be (-6)/p - 2/(0 + 2). Solve -5*s = -b + 22, -h = b - 4 for s.
-4
Let j be 0 - -1 - (3/1 + -4). Solve 0 = -4*p - 3*q + 16, 3*p - 4*p - j*q = -9 for p.
1
Suppose -3*i = -6*i, -b - 3*i = -17. Let w = b + -14. Suppose -3*k = w*f - 39, 4*k - 4*f = -f + 31. Solve 5*s + k = -4*x, 0*s - 2*s = 4*x + 4 for s.
-2
Suppose 3*h = 3*s - 0*s - 6, 4*h = 5*s - 12. Suppose -5 = h*p - 9. Solve c = -3*i - 3, i + 3 = p*c + 2 for i.
-1
Suppose -5*r + 15 = -10. Solve -3*i - 5*u = -2*i, 0 = -2*i - r*u for i.
0
Suppose 7*a = 25*a - 36. Solve -3*n + 34 = 5*y, -4*n + a*y + 4 = 2 for n.
3
Suppose -5*w = -41 + 351. Let u = -57 - w. Solve -2*p - 8 = 0, s + 4*p = u*s - 8 for s.
-2
Let y(b) = -2*b**2 - 16*b - 9. Let a be y(-8). Suppose 0 = f + 3*f + 60. Let r = a - f. Solve -5*g = 3*m - r, 4*m - 11 = -3 for g.
0
Suppose -460*m = -471*m + 33. Solve 2*w + 5*r = -2*w - 13, 4*w + m*r = -11 for w.
-2
Let k be ((0 - -4) + (-7 - -4))*11. Let z = 12 - k. Solve 4*d - z = v, 2*d + 3*v + 7 = 6*v for d.
1
Let w be (1 - 0) + (-4)/(-26) + (-850)/(-221). Let f = -1 - 0. Let o be (0/(-1))/(2*f). Solve -4*c - w = -3*b + 4*b, o = c + 4*b - 10 for c.
-2
Suppose -134*p - 135 = -143*p. Solve 4*y - 12 = k, -3*k - 4*y = -13 - p for k.
4
Suppose -7*q + 5*q + 80 = 0. Let b = -30 + q. Solve 5*x = 3*o - 0*x - b, 0 = 2*o - 2*x - 4 for o.
0
Suppose -9*t + 17 = 4*h - 10*t, 12 = 4*t. Solve -3*b - 12 = 0, h*m - 3*b = -2*b - 6 for m.
-2
Let y(a) = -a**3 + 5*a**2 - 16. Let m be y(3). Solve -2*g - 2 - m = -3*p, -5*p - 5*g + 40 = 0 for p.
4
Let u = -28 + 34. Let y = u - 1. Solve 3*z = -z + y*r + 5, 5 = -r for z.
-5
Let l be (-10)/1*(-6)/15. Suppose l*x + 0*s - 34 = 2*s, -5*s + 13 = 4*x. Solve 5*g + x = 2, -4*b + 1 = -5*g for b.
-1
Let i(l) = l**2 - 3. Let g be i(3). Suppose -5*j = -g*j + 5. Solve -j*d + 5*x = 0, d = -0*x - 2*x + 9 for d.
3
Suppose -3*t - 7 = -5*s, 0*t + 2*t + 8 = 5*s. Solve -3*o + 10 = c, -s = 3*c + o - 0 for c.
-2
Let g(v) = v**3 - 7*v**2 + 7*v - 4. Let j be 10 - (-3)/(12/(-16)). Let c be g(j). Solve -5 = -2*z - f, -c*f + 11 = 2*z + 3 for z.
1
Let k(f) = 3*f**2 + 12*f - 11. Let m be k(-6). Solve -b = -4*l + 21, -3*b - m = 2*b for l.
4
Suppose -2*s - 2*t - t = -9, 2*s - 4*t + 26 = 0. Let p = 7 + s. Suppose -4*f = -r, -6 = -r + f - 3. Solve p*w = -0*w + 4*d - 20, 3*d + 20 = -r*w for w.
-5
Suppose -6*v + 7*v - 3 = 0. Solve 0*i - 22 = o - 5*i, 4*o = v*i - 3 for o.
3
Let q be 9/(-6)*(-1 + (0 - 1)). Solve 20 = -2*r - q*r + 3*l, 2*l = 3*r + 12 for r.
-4
Let v be 7 - (-1 - (4 + -9)). Let y = 3 + -2. Let s be -3 + 14 - (-2 + y). Solve t = -v*l + 4*t + s, 4*t + 16 = 2*l for l.
0
Suppose -16*l = -14*l - 3*c - 19, 0 = -4*l + 2*c + 26. Solve n + 4*d - 7*d - l = 0, -4*d - 11 = 3*n for n.
-1
Suppose -k + 12 = -13. Suppose -r = 4*r - k. Solve 2*j + t - 13 = -j, -5*j + 35 = -r*t for j.
5
Suppose -2*x - 6 = 5*q - q, q - 3 = -2*x. Solve -3 = -x*g + t - 2, -3*g - 2*t = -7 for g.
1
Suppose -18 = -g - 8*g. Suppose -g*s = -5*s + 3*m + 33, 3*m - 12 = 0. Solve -f - 2*r - s = -7*r, -30 = -2*f - 5*r for f.
5
Let j be -1*8*(-2 - (4 + -1)). Let l be ((-12)/4)/(6/76). Let w = j + l. Solve 2*d + w = -2*y - y, 0 = -2*y - 2*d for y.
-2
Suppose 0 = -2*c + 37 - 29. Solve -4*m + c*u = -0*u - 4, -3*m - u = 1 for m.
0
Let n(p) = 174*p + 1049. Let h be n(-6). Solve 0 = 3*c + h*b + 7, -11*b + 7*b = -3*c + 11 for c.
1
Suppose 0 = -23*a + 30*a + 77. Let o be (1 + -1)*11/a. Solve -2*k + 7*k + 4*f + 7 = 0, o = -2*k - 2*f - 2 for k.
-3
Suppose 0 = -3*t - n + 3, -3*n = -3*t - 2*n + 9. Solve -5*d + 10*d + 4*c = 35, 3*d = t*
|
{
"pile_set_name": "DM Mathematics"
}
|
**3 - 4*p**2 - p - 9981
What is the d'th term of 3401194, 3401193, 3401192, 3401191, 3401190, 3401189?
-d + 3401195
What is the o'th term of 1439, 1251, 1063, 875, 687?
-188*o + 1627
What is the y'th term of 302, 2456, 8316, 19736, 38570, 66672, 105896?
309*y**3 - y**2 - 6*y
What is the r'th term of 3148, 3136, 3122, 3106, 3088?
-r**2 - 9*r + 3158
What is the m'th term of -501, -2053, -4657, -8313?
-526*m**2 + 26*m - 1
What is the l'th term of 11504, 46008, 103504, 183992?
11496*l**2 + 16*l - 8
What is the j'th term of -243, -707, -1171, -1635, -2099, -2563?
-464*j + 221
What is the r'th term of 4136298, 4136299, 4136300?
r + 4136297
What is the z'th term of 1440, 1429, 1404, 1365, 1312?
-7*z**2 + 10*z + 1437
What is the g'th term of 61, -28, -261, -710, -1447, -2544, -4073, -6106?
-12*g**3 - 5*g + 78
What is the j'th term of 814, 1615, 2408, 3187, 3946, 4679?
-j**3 + 2*j**2 + 802*j + 11
What is the h'th term of -18, 17, 154, 447, 950, 1717, 2802?
9*h**3 - 3*h**2 - 19*h - 5
What is the f'th term of 223, 420, 597, 748, 867, 948, 985?
-f**3 - 4*f**2 + 216*f + 12
What is the l'th term of 67045, 134086, 201127, 268168, 335209?
67041*l + 4
What is the p'th term of 37825, 75642, 113459, 151276?
37817*p + 8
What is the w'th term of 436806, 436804, 436800, 436794, 436786, 436776?
-w**2 + w + 436806
What is the h'th term of 18799, 75209, 169229, 300859, 470099, 676949, 921409?
18805*h**2 - 5*h - 1
What is the u'th term of -6345, -12565, -18785, -25005, -31225?
-6220*u - 125
What is the g'th term of 34, 6, -76, -206, -378, -586, -824?
g**3 - 33*g**2 + 64*g + 2
What is the d'th term of 782, 2320, 4604, 7634?
373*d**2 + 419*d - 10
What is the q'th term of 1042, 1013, 964, 895, 806, 697?
-10*q**2 + q + 1051
What is the i'th term of -233, -943, -2125, -3779, -5905, -8503, -11573?
-236*i**2 - 2*i + 5
What is the z'th term of 633, 561, 489?
-72*z + 705
What is the h'th term of -156, -347, -614, -951, -1352?
h**3 - 44*h**2 - 66*h - 47
What is the z'th term of -3064, -6190, -9304, -12400, -15472?
z**3 - 3133*z + 68
What is the l'th term of -120098, -120103, -120108, -120113, -120118, -120123?
-5*l - 120093
What is the j'th term of 121400, 121393, 121382, 121367?
-2*j**2 - j + 121403
What is the t'th term of 1692, 3168, 4644, 6120, 7596?
1476*t + 216
What is the t'th term of -3771, -3790, -3829, -3894, -3991, -4126, -4305?
-t**3 - 4*t**2 - 3766
What is the g'th term of -551, -1035, -1451, -1799, -2079?
34*g**2 - 586*g + 1
What is the i'th term of 134980, 539910, 1214792, 2159626?
134976*i**2 + 2*i + 2
What is the s'th term of -11135, -22265, -33395, -44525, -55655?
-11130*s - 5
What is the v'th term of -3382, -13518, -30394, -53998, -84318?
2*v**3 - 3382*v**2 - 4*v + 2
What is the g'th term of 1089995, 1089992, 1089987, 1089980, 1089971, 1089960, 1089947?
-g**2 + 1089996
What is the o'th term of -7825, -15643, -23461, -31279, -39097, -46915?
-7818*o - 7
What is the t'th term of 83, 247, 579, 1163, 2083, 3423, 5267?
14*t**3 + 66*t + 3
What is the p'th term of 806253, 806251, 806249?
-2*p + 806255
What is the b'th term of -351, -352, -343, -318, -271, -196, -87?
b**3 - b**2 - 5*b - 346
What is the p'th term of 3361, 3365, 3371, 3379, 3389, 3401, 3415?
p**2 + p + 3359
What is the d'th term of -85296, -85317, -85338, -85359, -85380?
-21*d - 85275
What is the k'th term of -1404, -2825, -4246, -5667, -7088, -8509?
-1421*k + 17
What is the i'th term of 700, 567, 436, 307, 180, 55, -68?
i**2 - 136*i + 835
What is the y'th term of 15157, 15160, 15167, 15184, 15217?
y**3 - 4*y**2 + 8*y + 15152
What is the k'th term of 7803, 7802, 7801, 7800?
-k + 7804
What is the s'th term of 108, 424, 942, 1662, 2584, 3708, 5034?
101*s**2 + 13*s - 6
What is the z'th term of 244, 321, 476, 745, 1164, 1769?
6*z**3 + 3*z**2 + 26*z + 209
What is the w'th term of -20502, -20504, -20510, -20520, -20534, -20552, -20574?
-2*w**2 + 4*w - 20504
What is the s'th term of -22182, -88479, -198974, -353667, -552558?
-22099*s**2 - 83
What is the d'th term of -14450, -14462, -14484, -14516, -14558, -14610, -14672?
-5*d**2 + 3*d - 14448
What is the a'th term of -1694, -3394, -5118, -6878, -8686?
-2*a**3 - 1686*a - 6
What is the x'th term of 469705, 939404, 1409103, 1878802?
469699*x + 6
What is the i'th term of 3116, 6080, 9036, 11978, 14900, 17796?
-i**3 + 2*i**2 + 2965*i + 150
What is the q'th term of -2384304, -2384300, -2384294, -2384286, -2384276?
q**2 + q - 2384306
What is the a'th term of -81, -24, 121, 396, 843?
7*a**3 + 2*a**2 + 2*a - 92
What is the a'th term of -286, -242, -108, 164, 622?
8*a**3 - 3*a**2 - 3*a - 288
What is the f'th term of -1487, -1356, -1225, -1094, -963, -832?
131*f - 1618
What is the v'th term of -77, -54, -1, 94, 243, 458?
2*v**3 + 3*v**2 - 82
What is the d'th term of 319, 657, 1003, 1363, 1743, 2149, 2587?
d**3 - 2*d**2 + 337*d - 17
What is the i'th term of 2720, 2681, 2626, 2549, 2444?
-i**3 - 2*i**2 - 26*i + 2749
What is the y'th term of 48672, 48673, 48674?
y + 48671
What is the b'th term of -206, -386, -686, -1106, -1646, -2306?
-60*b**2 - 146
What is the n'th term of -368, -1520, -4250, -9350, -17612, -29828?
-132*n**3 + 3*n**2 - 237*n - 2
What is the l'th term of -60, -104, -138, -162?
5*l**2 - 59*l - 6
What is the v'th term of 54, -4, -184, -546, -1150?
-10*v**3 - v**2 + 15*v + 50
What is the a'th term of -270, -542, -806, -1056, -1286, -1490?
a**3 - 2*a**2 - 273*a + 4
What is the d'th term of -7982, -7983, -7976, -7955, -7914, -7847, -7748?
d**3 - 2*d**2 - 2*d - 7979
What is the t'th term of -768, -768, -778, -798, -828?
-5*t**2 + 15*t - 778
What is the z'th term of 84748, 169492, 254236?
84744*z + 4
What is the f'th term of -3081, -24779, -83677, -198375, -387473, -669571, -1063269, -1587167?
-3100*f**3 + 2*f + 17
What is the f'th term of 86, -20, -254, -676, -1346, -2324, -3670?
-10*f**3 - 4*f**2 - 24*f + 124
What is the n'th term of 8715, 8717, 8719, 8721?
2*n + 8713
What is the p'th term of -944, -958, -974, -992, -1012, -1034?
-p**2 - 11*p - 932
What is the d'th term of 48, 41, 36, 33, 32, 33, 36?
d**2 - 10*d + 57
What is the q'th term of -5853, -23565, -53091, -94437, -147609, -212613?
-q**3 - 5901*q**2 - 2*q + 51
What is the o'th term of 8754, 8740, 8722, 8700, 8674, 8644, 8610?
-2*o**2 - 8*o + 8764
What is the d'th term of -17211, -17063, -16893, -16689, -16439?
2*d**3 - d**2 + 137*d - 17349
What is the i'th term of -2170, -2151, -2106, -2023, -1890, -1695, -1426, -1071?
2*i**3 + i**2 + 2*i - 2175
What is the t'th term of 81, 279, 595, 1029, 1581, 2251?
59*t**2 + 21*t + 1
What is the o'th term of -51797, -51796, -51795?
o - 51798
What is the d'th term of 5542, 11126, 16702, 22264, 27806, 33322?
-d**3 + 2*d**2 + 5585*d - 44
What is the t'th term of -200, -310, -490, -746, -1084?
-t**3 - 29*t**2 - 16*t - 154
What is the u'th term of -27242, -27239, -27236?
3*u - 27245
What is the l'th term of -557, -668, -779?
-111*l - 446
What is the y'th term of -35376, -35373, -35366, -35355?
2*y**2 - 3*y - 35375
What is the z'th term of 7036, 14056, 21076, 28096?
7020*z + 16
What is the c'th term of 112, 221, 332, 445, 560, 677?
c**2 + 106*c + 5
What is the c'th term of -53504, -53490, -53468, -53438, -53400, -53354?
4*c**2 + 2*c - 53510
What is the r'th term of -37004, -37005, -37008, -37013, -37020, -37029?
-r**2 + 2*r - 37005
What is the u'th term of -41065, -41062, -41059, -41056, -41053, -41050?
3*u - 41068
What is the a'th term of 1685, 3423, 5281, 7319, 9597, 12175, 15113?
10*a**3 + 1668*a + 7
What is the i'th term of -1798, -3615, -5450, -7303?
-9*i**2 - 1790*i + 1
What is the m'th term of 2686, 10833, 24418, 43447, 67926, 97861, 133258, 174123?
m**3 + 2713*m**2 + m - 29
What is the q'th term of -2558, -5196, -7840, -10490?
-3*q**2 - 2629*q + 74
What is the h'th term of -36170, -36174, -36178, -36182, -36186?
-4*h - 36166
What is the j'th term of -772, -759, -744, -727, -708, -687?
j**2 + 10*j - 783
What is the o'th term of -52, 23, 148, 323, 548, 823?
25*o**2 - 77
What is the c'th term of 406, 1463, 3228, 5701, 8882, 12771, 17368?
354*c**2 - 5*c + 57
What is the z'th term of -1085, -1170, -1373, -1748, -2349, -3230, -4445?
-9*z**3 - 5*z**2 - 7*z - 1064
What is the t'th term of 6367, 6402, 6437, 6472?
35*t + 6332
What is the j'th term of -7, -219, -641, -1273
|
{
"pile_set_name": "DM Mathematics"
}
|
rt(80) - (sqrt(80)*-4 + sqrt(80) + sqrt(80)) - sqrt(80))/sqrt(8) + sqrt(10)) + 1.
1 + 9*sqrt(5)
Simplify (4 + -2 + sqrt(2) - (sqrt(2) - (sqrt(2) + (sqrt(2) + -1 + sqrt(98))**2))) + ((1*sqrt(56))/sqrt(4) - sqrt(14))/(sqrt(343) + sqrt(343) + sqrt(343)*1).
-15*sqrt(2) + 131
Simplify (sqrt(1701)/sqrt(7) - -1*(sqrt(3) - (sqrt(3) + -3))) + sqrt(36)/(sqrt(12)*1) + (sqrt(3) + (sqrt(3) - (1 + sqrt(27))))**2.
7 + 12*sqrt(3)
Simplify (6*(sqrt(242) - ((-1*sqrt(242)*3 - sqrt(242)) + sqrt(242)))/sqrt(11))/((sqrt(1296) - sqrt(1296)*-2)/(sqrt(64)/(sqrt(16)/sqrt(2)))).
8*sqrt(11)/9
Simplify (sqrt(60)/(-2*sqrt(12)) + sqrt(30)/(-1*sqrt(6)) + -5 + (sqrt(5) - sqrt(20)) + sqrt(5) + sqrt(10)/(sqrt(4)/sqrt(2)))**2 + -1.
5*sqrt(5) + 101/4
Simplify (-3 + ((sqrt(1900) + (1 + sqrt(1900))**2)*5 + 3 - (1 + ((-1 + sqrt(1900))*-2)**2)) + -5)*-4.
-7580 - 920*sqrt(19)
Simplify 1*((-2*sqrt(242) + sqrt(242))*2 - ((1 + sqrt(242))*-1 + sqrt(242) + sqrt(242)))**2 + (sqrt(24) + (sqrt(24) - sqrt(24)*-3)*-5)/(sqrt(108)*2).
-415*sqrt(2)/6 + 2179
Simplify (((sqrt(90)*-1 - sqrt(90))*-5)/((sqrt(18) - sqrt(36)/sqrt(2))/sqrt(9) + (sqrt(20)/sqrt(5))/sqrt(2)) + -4)*-1.
-30*sqrt(5) + 4
Simplify (-2*(sqrt(567) + 3*sqrt(567) + -4 + sqrt(567)))**2 - 5*(sqrt(7) + sqrt(252)*-3)*-3.
-1695*sqrt(7) + 56764
Simplify (6*-2*sqrt(22))/(sqrt(2) + 2*sqrt(2)*-2) + (-5*(sqrt(11)*4 - sqrt(11)) - (sqrt(1331) + 0)**2).
-1331 - 11*sqrt(11)
Simplify -5 + (1 + (-4 + (sqrt(405)*-2*5 - sqrt(405)) - -1*(0 + sqrt(405)*2)))**2.
486*sqrt(5) + 32809
Simplify (3 + sqrt(847) + sqrt(847) + (sqrt(847) + 1)**2 + -3 + (-3 + sqrt(847) + 2 - sqrt(847))**2 + 5)*4.
176*sqrt(7) + 3416
Simplify (-4*sqrt(182)/(2*(sqrt(7) - -1*sqrt(7))))/(sqrt(12)/(sqrt(384) + sqrt(384) + sqrt(384)*2)*6) + -5.
-16*sqrt(13)/3 - 5
Simplify (1*(3*sqrt(143) - sqrt(143) - sqrt(143)) + sqrt(143) + sqrt(143)*-4*4 + sqrt(143))/(3*(sqrt(176) + -2*sqrt(176)*1)).
13*sqrt(13)/12
Simplify ((sqrt(35) - -1*sqrt(560)) + sqrt(875)*3 + sqrt(875))/(-1*1*sqrt(245) - sqrt(245) - sqrt(245)*2*2).
-25*sqrt(7)/42
Simplify (5*sqrt(72)/sqrt(4)*4*-1)/(-3*sqrt(150) - (sqrt(216) - -2*sqrt(216))).
20*sqrt(3)/33
Simplify sqrt(7) + sqrt(7) + -4 + (sqrt(7) - sqrt(112)) + (sqrt(49)/sqrt(7) + 1 - sqrt(7)) + -5 + (4*-3*sqrt(7) - (sqrt(7)*-4 + -4)) + 4.
-9*sqrt(7)
Simplify (((2*sqrt(110) + sqrt(110))*3 - -4*(sqrt(110) + (sqrt(110) - (sqrt(110) - (sqrt(110)*-2 + sqrt(110) + sqrt(110))))))/(sqrt(810)*-2*2*6))**2.
1859/46656
Simplify (2 + (-4 + (-1*sqrt(405) - sqrt(405))*-1 + 1*(2 + sqrt(405) + sqrt(405)))*-2)**2.
-864*sqrt(5) + 25956
Simplify 2 + ((sqrt(171) - -5*2*sqrt(171))*-1*5)/(-1*-2*sqrt(63)/(sqrt(7)*1)).
-55*sqrt(19)/2 + 2
Simplify (-5*(sqrt(64) + -3*(sqrt(64) + (sqrt(64) - sqrt(64)*5) + sqrt(64)))/(-6*((sqrt(8) - sqrt(200)*-2) + sqrt(8))))**2.
1225/648
Simplify (0 + -2 + 5 + (sqrt(88) - 2*sqrt(88)*6)/(sqrt(1152) + sqrt(1152) + (sqrt(1152) - sqrt(1152)*2)) + -1)**2.
-11*sqrt(11)/3 + 1907/144
Simplify (((sqrt(190) - (3*sqrt(190) + sqrt(190)))*-1 + -4*sqrt(190)*-4)/(sqrt(250)*-1 - 5*sqrt(50)/sqrt(5)))**2.
6859/100
Simplify 4*-3*(((sqrt(720) - (sqrt(720) + (-1 + sqrt(720))*5) - sqrt(720)) + sqrt(720))**2 - (sqrt(500)*2)**2*1) + -1.
-192301 + 7200*sqrt(5)
Simplify -4 + (1*sqrt(175)*-3*-5 - -3*-1*(sqrt(175) + 1))**2.
-360*sqrt(7) + 25205
Simplify ((-1*(-1*sqrt(49) + sqrt(49)))/(sqrt(35)/sqrt(5)*-3) - ((3*sqrt(112) - sqrt(49)/sqrt(175)) + -5))**2.
-118*sqrt(7) + 24992/25
Simplify -2*-5*1*(1 + sqrt(833))**2 + 3*1*sqrt(833)*-1 + 5 + 0.
119*sqrt(17) + 8345
Simplify (3*sqrt(216)*2*-3)/(sqrt(2) + sqrt(20)/(sqrt(10)*-1) + sqrt(2)*-1*1).
108*sqrt(3)
Simplify (-6*(((sqrt(117) + 1*sqrt(117) - sqrt(117))/sqrt(9))**2 + sqrt(13) + -2) + (-2 + -2*1*sqrt(13)*5)**2)*-4.
-4952 - 136*sqrt(13)
Simplify (0 + (sqrt(125) + -1 + sqrt(125) + sqrt(125) + 3)*3 + -2 + 2 + sqrt(45) + -2)**2.
384*sqrt(5) + 11536
Simplify ((-1*sqrt(78)*2 - (sqrt(78) - -2*sqrt(78))*-1)/(sqrt(6) - sqrt(72)/(sqrt(12)*3) - sqrt(24)/(sqrt(4) + (sqrt(4) - sqrt(36)))) + 4)**2.
24*sqrt(13)/5 + 517/25
Simplify (((sqrt(121) - -3*sqrt(121)*-2)*-4*-5)/(sqrt(33)/sqrt(75) + (sqrt(44) - sqrt(132)/sqrt(3))))**2.
2750000
Simplify (4*2*(sqrt(121)*-2*2 - sqrt(121) - sqrt(121)))/(sqrt(44)/sqrt(4)*-4 + (3*sqrt(55))/sqrt(5)).
48*sqrt(11)
Simplify (-3*6*-2*sqrt(91)*5)/(6*5*sqrt(63)*1).
2*sqrt(13)
Simplify ((sqrt(99) + (sqrt(99)*-2 - sqrt(99))*6)/(sqrt(1089) + -3*sqrt(1089)) + -2)*2 + -4.
-8 + 17*sqrt(11)/11
Simplify ((-5*2*sqrt(187) - sqrt(187) - (-3*(1*sqrt(187) + sqrt(187)) + sqrt(187)))*5)/(sqrt(704) + 1*sqrt(704) + (sqrt(121)*-3)/sqrt(11)) + -3.
-30*sqrt(17)/13 - 3
Simplify ((sqrt(1728) - -2*sqrt(1728))*-1 + (sqrt(1728) + (sqrt(1728) - -1*sqrt(1728))*3 - sqrt(1728)))/(-1*sqrt(48)/sqrt(3)*-2).
9*sqrt(3)
Simplify -4 + -4*sqrt(1700)*2*-3 - ((-1 + sqrt(1700) + 0 + -1 + (sqrt(1700)*2 - sqrt(1700)))**2 + -5).
-6803 + 320*sqrt(17)
Simplify (4 + (sqrt(605)*3 - (sqrt(90)/sqrt(2))/sqrt(9)))**2 - (-1 + -6*1*(sqrt(605)*-1)**2).
256*sqrt(5) + 8767
Simplify (-1*sqrt(252)*4 - sqrt(252) - (sqrt(252) + (sqrt(252) - (2*sqrt(252) + sqrt(252)))*-1))/(sqrt(16)/sqrt(4)*-2 - (sqrt(196) + -2*sqrt(196) - sqrt(4))).
-4*sqrt(7)
Simplify (0 + 2 + (-2*sqrt(80)*1 + sqrt(80) + 2*2*sqrt(80) - (-3*2*sqrt(80) + -5)))**2.
504*sqrt(5) + 6529
Simplify 5 + (sqrt(1377)*2 - sqrt(1377)) + sqrt(1377) + 5 + sqrt(17) + (sqrt(85)*1)/sqrt(5) + sqrt(17) - (sqrt(102)*-3*3)/(-3*sqrt(216)).
10 + 41*sqrt(17)/2
Simplify ((1*sqrt(264)*-2)/sqrt(8)*1)/((sqrt(135)*6 + sqrt(15))/(-2*sqrt(80))).
16*sqrt(11)/19
Simplify (-3*sqrt(2352) + sqrt(48))/(sqrt(100) - (sqrt(100) - (sqrt(100) - 3*-4*sqrt(100) - sqrt(100)))).
-2*sqrt(3)/3
Simplify (sqrt(228)*1*-4 - sqrt(228) - sqrt(228) - (sqrt(228) + sqrt(228)*2*6))/(-5*sqrt(240)/(-1*sqrt(5))).
-19*sqrt(19)/10
Simplify -4*((-2*sqrt(20)*2)/((-2*sqrt(36))/sqrt(9)) + (-4*-2*sqrt(30))/sqrt(6)*-2).
56*sqrt(5)
Simplify (sqrt(108)/((-3*sqrt(6) + sqrt(6))*-5))/(sqrt(900) + sqrt(900) + -3*(sqrt(900) - (sqrt(900) - (sqrt(900) - sqrt(900)*-1))) + sqrt(900)) + 2.
-sqrt(2)/300 + 2
Simplify (((sqrt(170) + sqrt(170)*2)*-2 + (2*sqrt(170)*-3 - sqrt(170)))*3)/((sqrt(1440) - sqrt(1440)*-1) + sqrt(1440) + (sqrt(150)/sqrt(3))/sqrt(5)).
-39*sqrt(17)/37
Simplify ((-3*-1*sqrt(30))/sqrt(216))**2 - (sqrt(220)*-3)/(sqrt(44)/(sqrt(4)*1) + sqrt(11)).
5/4 + 3*sqrt(5)
Simplify 1 + sqrt(425) + 0 + -3 + -5 - ((-2*sqrt(170)*2)/(-5*sqrt(250)))**2.
-4647/625 + 5*sqrt(17)
Simplify 3 + 1*1*(0 + sqrt(171)) + (sqrt(342) - (sqrt(342) + sqrt(342)*1))/(sqrt(2) + (sqrt(2) - sqrt(72)*6 - sqrt(2))).
3 + 108*sqrt(19)/35
Simplify (sqrt(35)*1*-5 - (sqrt(3500) + -2*sqrt(3500) - sqrt(3500)))/(sqrt(700) - 3*sqrt(700)*-1) + -4.
-4 + 3*sqrt(5)/8
Simplify (sqrt(850) - (sqrt(850) + (sqrt(850) - 2*sqrt(850))) - sqrt(136)*6)/((-4*sqrt(8) - sqrt(2)) + sqrt(10)/sqrt(45)).
21*sqrt(17)/26
Simplify (((sqrt(243)*-1 + sqrt(243) - sqrt(243)) + sqrt(243))/sqrt(9))/(sqrt(9) + -2*sqrt(9)*-2) + (sqrt(18)/(sqrt(6) + sqrt(36)/sqrt(6))*6*1)**2.
27
Simplify (4*(1 + -2 + -4 + -2*sqrt(1900) + sqrt(1900) + sqrt(1900))*6 + 4)**2*-3.
-40368
Simplify -2*(-4*(1 + sqrt(704)) + (sqrt(704) + (sqrt(704) - (-2 + sqrt(704)*-2)))**2 + (1 + sqrt(704) + 1 - 5*(sqrt(704) - (sqrt(704)*-2)**2))).
-50692 - 128*sqrt(11)
Simplify ((sqrt(252) + sqrt(252)*-1 - sqrt(252)) + 1 + 4*sqrt(252)*-3)**2 - (sqrt(84)/(-1*sqrt(1452) + sqrt(12)) + 4 + -5 + sqrt(63))**2.
-751*sqrt(7)/5 + 4252913/100
Simplify ((-3 + 4 + sqrt(637)*3)**2 + 5 + -1)*3.
126*sqrt(13) + 17214
Simplify 2*(-3 + (5*(sqrt(325) + 1 + sqrt(325) + sqrt(325) + -5 - (sqrt(325) - (sqrt(325) - (2 + sqrt(325)*2)) - sqrt(325))))**2 + -5).
-6000*sqrt(13) + 66784
Simplify (2 + ((-2 + sqrt(833) + 1 - (sqrt(833) - (sqrt(833) + 6*(sqrt(833) + -2) + sqrt(833))))*-3)**2)*-6.
-2887986 + 78624*sqrt(17)
Simplify (((sqrt(70)*-1*-1 - sqrt(70) - sqrt(70)) + 1*sqrt(70)*-1)*-3)/((sqrt(40) - sqrt(4840)*-2)*-4) + 0.
-3*sqrt(7)/92
Simplify -1*(0 + 4 + ((sqrt(64) - (sqrt(64) + 2*sqrt(64) + sqrt(64)))/sqrt(4))/(-2*sqrt(512)) + 3).
-7 - 3*sqrt(2)/16
Simplify 1*(-4 + (sqrt(468) + 2*sqrt(468)*6)**2) + ((3 + sqrt(468) - sqrt(468))*-3 - sqrt(468)) + sqrt(468) + ((sqrt(468) + sqrt(468) + 1)*2)**2.
96*sqrt(13) + 86571
Simplify ((sqrt(1377) - ((sqrt(1377) + -2)*-3 + sqrt(1377) - sqrt(1377))) + 3)**2 - -4*(sqrt(833) + (sqrt(833) + 1)**2 + sq
|
{
"pile_set_name": "DM Mathematics"
}
|
the prime factors of d.
2, 3
Suppose -2*s + 28 = 2*f, -5*s - 69 = -4*f + 14. List the prime factors of f.
17
Let k(c) = -c**3 - 6*c**2 - 6*c - 1. Let d be k(-5). Suppose 2*w + 60 = 3*m, 3*w + 100 = m + d*m. List the prime factors of m.
2, 5
Let m = -40 + 128. What are the prime factors of m?
2, 11
Suppose -3*o + 10 = -o + 5*h, 3*o + 4*h - 8 = 0. List the prime factors of 6/(1 + 0 + o).
2, 3
Let l(g) = 2*g - 2 + 9 - 4. List the prime factors of l(3).
3
Let d be -1 - (18/3)/2. Let v be 24/d*4/(-6). Suppose -v*r = -9*r + 55. What are the prime factors of r?
11
Suppose m = -3*t + 14, 2*t = -3*m + t + 26. List the prime factors of m.
2
Let w(y) = y**3 + 11*y**2 - 3*y - 12. List the prime factors of w(-11).
3, 7
Let i = 0 - 3. Let s be (9 + i + -1)*3. List the prime factors of 6/s + (-53)/(-5).
11
Let b = -2 + 4. What are the prime factors of 4/5*15/b?
2, 3
Let o be 3 + (2 - (5 + 2)). Let d = o - -7. What are the prime factors of d?
5
Suppose 2*z + 5*a - 48 = 0, 36 = 4*z - 4*a - a. Suppose -3*n + 4*n = z. What are the prime factors of n?
2, 7
What are the prime factors of 209/3 + 1/3?
2, 5, 7
Let q be (1 - 0)/((-5)/15). Let r = 6 + q. Suppose 0 = -r*x + 4*o - 2 + 3, -2*x - 2 = -4*o. List the prime factors of x.
3
Let w(q) = 5*q - 3. Let z be (-2)/(-7) + (-24)/(-14). Suppose -2*d + 8 = z*f, 0 = 4*f - 2*d - 10. List the prime factors of w(f).
2, 3
Suppose 2*o = h - 12 - 62, 2*o - 4 = 0. List the prime factors of h.
2, 3, 13
Suppose 0 = -3*z + 5*z - 2. Suppose t + z = -3, -3*t = 2*d. List the prime factors of d.
2, 3
Let f = 8 - 5. Suppose f*j - 45 = -h, -5*h + 80 = 3*j + 23. List the prime factors of j.
2, 7
Suppose 0 = x + 4*z - 11, -2 = -z - 0*z. Suppose -2*u + 3*u = -x*s + 28, 4*u - 112 = 2*s. List the prime factors of u.
2, 7
Suppose 832 = 5*f + 192. Suppose 4*r - 3*o = f, 5*o = 9 + 11. List the prime factors of r.
5, 7
Let b = -28 - -9. Let w be 3/6 + (-118)/(-4). Let n = w + b. List the prime factors of n.
11
Let h be (0 - -6)*(-9)/6. Suppose 0 = 3*v - 5*d - 0*d - 25, -v + 4*d + 20 = 0. Let w = v - h. What are the prime factors of w?
3
Suppose m + 42 = 3*m. Suppose -z + m = 4*c, z + c + 6 = 2*z. List the prime factors of z.
3
Suppose 3*u = -5*v - 0*v + 16, -5*u = -5*v. Suppose v*c - 3 = 1. What are the prime factors of c?
2
Let b(j) = 2 + 1 + 2 - 2*j - 2. What are the prime factors of b(-3)?
3
Let b(j) = -3*j - 4. Let l(n) = 5*n - 2*n - 2*n - 4. Let t be l(0). What are the prime factors of b(t)?
2
Let d be (-18)/(-1)*(-40)/(-15). Let u = d - 27. What are the prime factors of u?
3, 7
Suppose 2*z + 28 = 6*z. List the prime factors of z.
7
Let k(s) = s**2 + s - 9. List the prime factors of k(12).
3, 7
Let k = -3 - -4. Let l(c) = -c**2 + 10*c**2 - 10*c**2 + 13*c**3. What are the prime factors of l(k)?
2, 3
Let u(h) = -h**2 + 8*h + 10. Let l be u(9). Let v = 2 + 1. What are the prime factors of (60/18)/(l/v)?
2, 5
Let g = -45 + 70. List the prime factors of g.
5
Let f be (-2)/5 - (-4)/10. Suppose 4*y = -f*y + 112. List the prime factors of y.
2, 7
Let x = 3 - 0. Suppose -q + 15 = -x*k, -4*q + 39 = -6*k + k. List the prime factors of (-2 - 1)/(q/(-20)).
2, 5
Suppose 3*x - 11 = 1. Suppose 0*h + 2*d + 96 = 4*h, -5*h - 4*d = -94. Suppose 0 = -x*r + 6 + h. What are the prime factors of r?
7
Suppose 28 = -3*u + 2*u. Let n = 62 + u. List the prime factors of n.
2, 17
Suppose 0 = -d + 4*d. Let p(i) = -2*i + 11. List the prime factors of p(d).
11
Let j(z) = -5*z**3 + z - 12*z**2 + 10*z**2 + 0*z. Let y be j(1). Let u = 15 + y. List the prime factors of u.
3
Let z(b) = -2*b. Let h be z(-1). List the prime factors of h - (3 + 12)/(-3).
7
Let a = -1 + 5. Suppose a*x = c - 1, -3*c = -5*x + 8 + 3. Let h(p) = p**3 + 8*p**2 + 4*p - 9. What are the prime factors of h(c)?
2, 3
Let w be 30/7 + 4/(-14). Suppose -5*h = 4*u - 121, -2*u + 2 = w. List the prime factors of h.
5
Let n = 31 - 29. What are the prime factors of n?
2
Let i(v) = 3*v**3 + v**2 + v. Let c be i(-1). Let w(g) = 6*g - 3*g + 0*g**3 + 3 - 2*g**2 - g**3. What are the prime factors of w(c)?
3
Let m(p) be the second derivative of 4*p**4/3 - 2*p. What are the prime factors of m(1)?
2
Let p(q) = -12*q + 4. Let i be p(3). List the prime factors of (-152)/i - (-1)/4.
5
Suppose 2*y = -3*x + 3, -4*x - 10 = y - 3*y. Suppose 4*r - 9 = y. List the prime factors of r.
3
Let t(q) = 3*q**2 - 7*q. Let v(o) = -7*o**2 + 15*o + 1. Let n(c) = -5*t(c) - 2*v(c). Let x be n(4). Suppose -30 = -3*k - x*k. List the prime factors of k.
2, 3
Suppose -3*l + 4 = -l. Suppose -v + l = -0*v. List the prime factors of v.
2
Suppose l + 6*u = u, -3*l = 3*u + 24. What are the prime factors of 3/((-5)/(l/3))?
2
Let a = 1 + -4. Let d = 6 + a. List the prime factors of d.
3
Let h be (-24)/(-4)*-1*-1. Let f = h - -8. What are the prime factors of f?
2, 7
Let z(h) = -h**2 + 3*h + 2. Let f be z(-2). Let t(u) = -4 - u + 2 + 9. List the prime factors of t(f).
3, 5
List the prime factors of (4/(-4))/(4/(-556)).
139
Suppose -6 = 5*o - 21. Suppose 2*u + 41 = o*c, 2*c - 4*u + 0*u = 38. List the prime factors of c.
11
Let x(t) = -2*t - 3 - 6 - 6. List the prime factors of x(-10).
5
Let m = 21 + 12. What are the prime factors of m?
3, 11
Suppose 0*j + j = 21. List the prime factors of j.
3, 7
Let i be 1 + -1 + (-6)/(-3). Let a(v) = -2*v**2 + 11*v - 5 - 3*v + v**i. What are the prime factors of a(5)?
2, 5
Let g be 3/(-3) - 8*-3. Suppose 3*t - g = 2*t. What are the prime factors of t?
23
Let n = -6 + 5. Let q(t) = -3*t**3 - 1. Let z be q(n). Suppose z = -2*j + 6. What are the prime factors of j?
2
Let l(n) = -4 + 5*n + 2 + n. Let t be l(3). Suppose -2*p + 6 = -t. List the prime factors of p.
11
Let a = 3 + -11. Let c = 6 - a. Let s = c + -9. List the prime factors of s.
5
Let i(s) = s**2 - 5*s - 10. Let f be i(6). Let a = 7 + f. List the prime factors of a.
3
Let y = 5 - 8. Let x(d) = -d + 2. Let u be x(y). Let g = 2 + u. What are the prime factors of g?
7
Let n be (180/(-8))/(-3)*2. Suppose 3*l - 43 = -4*c, -2*l - n = -5*l. What are the prime factors of c?
7
Let u(q) = 2*q - 8. Let x be u(4). Suppose -5*h + 52 + 63 = x. What are the prime factors of h?
23
Suppose 0 = -n - 0 + 3. Let m be (-43)/(-9) - (-20)/90. Suppose 0 = b - m*r - 5, 12 = n*b - 3*r - 3. What are the prime factors of b?
5
Let d(w) = 2*w + 2*w + 0 - 2*w + 6. What are the prime factors of d(11)?
2, 7
Let m be 4/(-8) - 90/4. Let g be m/(-7) + (-4)/14. Suppose g*l - l = 2*r + 20, 50 = 4*l - 2*r. What are the prime factors of l?
3, 5
Let c(x) = 4*x - 1. Let w be c(1). Let i(a) = -3*a**w + 3*a + 5*a - 7*a**2 + 9 + 2*a**3. What are the prime factors of i(-8)?
3
Let q(g) = 2 + 4 - 2*g + 5. What are the prime factors of q(-8)?
3
Suppose -78 = o - 4*o. List the prime factors of o.
2, 13
Let t be (1 - -5)*(-10)/3. Let g = t - -28. What are the prime factors of g?
2
Suppose -3*c + 6*c - 5*r - 16 = 0, 0 = -4*c + 2*r + 12. Suppose c*t + 3 = -y, -2*t - 5*y = -4*t - 33. List the prime factors of t/(-14) + (-47)/(-7).
7
Let y(h) = h**3 + 11*h**2 + 3*h - 7. What are the prime factors of y(-9)?
2
Let c(t) = 9*t + 1. Suppose 0 = 5*z + 3 - 8. Let l = z - 0. What are the prime factors of c(l)?
2, 5
Let y(x) = x**2 + 2*x - 4. Let b be y(-4). Suppose -b*u = 6*t - t - 61, 3*u - t = 41. What are the prime factors of u?
2, 7
Let b(l) = 16*l**2 - 4*l + 15. List the prime factors of b(3).
3, 7
Let k = -39 - -80. List the prime factors of k.
41
Suppose 8*i - 149 = -4*r + 3*i, 0 = i + 3. List the prime factors of r.
41
Let g = 12 - 2. What are the prime factors of g?
2, 5
What are the prime factors of (-81)/(-6) - (-3)/(-6)?
13
Let u(p) = -p**3 - 7*p**2 - 8*p - 5. Let g be u(-6). Let n = 4 + g. What are the prime factors of n?
11
Let b be 2/12 + 89/6. Let h = b - -1. What are the prime factors of h?
2
Suppose 0 = -2*f + 4. Suppose -19 = -4*z + 1. Suppose f*h = -2*c + 5*c - 13, z*h = 20. List the prime factors of c.
7
Suppose 0 = -3*m - 0*m + 15. Suppose -m*p = 5*h - 295, -6*h = -h - 25. Suppose 6*b + 4*u = 4*b + p, -b = -u - 12. What are the prime factors of b?
17
Let f be (27/6)/(2/4). Let g = f + -5. List the prime factors of g.
2
Let q(v) = 2*v**2 - 5*v - 15. List the prime factors of q(-6).
3, 29
Let m(v) = -3*v - 13. Let a(g) = 4*g + 19. Let h(d) = 5*a(d) + 7*m(d). Let y = -2 + -2. What are the prime factors
|
{
"pile_set_name": "DM Mathematics"
}
|
-5000
What is -8149.34 rounded to the nearest one hundred?
-8100
What is 8925800 rounded to the nearest 100000?
8900000
Round 0.0001514223 to 5 decimal places.
0.00015
What is 240.416 rounded to the nearest one hundred?
200
What is 10377700 rounded to the nearest 1000000?
10000000
What is -0.0000035688 rounded to 5 dps?
0
Round 35.6784 to zero dps.
36
What is -525.317 rounded to the nearest 1000?
-1000
Round -8.90229 to 2 dps.
-8.9
Round -0.00000067894 to 6 dps.
-0.000001
What is -48272.4 rounded to the nearest 100?
-48300
What is -0.2142465 rounded to 3 dps?
-0.214
What is 2614665000 rounded to the nearest 1000000?
2615000000
What is 0.00318891 rounded to five dps?
0.00319
Round 3960.3969 to the nearest 100.
4000
What is -0.0093656721 rounded to 4 dps?
-0.0094
Round 1878.05 to the nearest one hundred.
1900
What is 3575.306 rounded to the nearest 10?
3580
What is -1160640 rounded to the nearest 100000?
-1200000
Round 226130.5 to the nearest one thousand.
226000
What is -175.911 rounded to the nearest integer?
-176
What is -219153500 rounded to the nearest 100000?
-219200000
What is -0.0000591307 rounded to six decimal places?
-0.000059
Round 2929150 to the nearest 1000000.
3000000
Round 4925.98 to 0 dps.
4926
Round -0.0096561 to five dps.
-0.00966
What is 62555.3 rounded to the nearest one hundred?
62600
Round -420.5921 to the nearest 100.
-400
What is -7.45384 rounded to one dp?
-7.5
What is -0.0300187 rounded to four dps?
-0.03
Round 37.39054 to two decimal places.
37.39
What is -0.000619888 rounded to six dps?
-0.00062
What is -18003.42 rounded to the nearest 10?
-18000
Round 0.78804 to 2 dps.
0.79
What is -0.0138811 rounded to 4 decimal places?
-0.0139
Round -66482.8 to the nearest one hundred thousand.
-100000
Round 0.564242 to one dp.
0.6
What is -0.021588605 rounded to three decimal places?
-0.022
Round -0.000006436442 to 5 dps.
-0.00001
What is -247.05 rounded to the nearest ten?
-250
What is -0.0000022778 rounded to 7 decimal places?
-0.0000023
What is 351912 rounded to the nearest 10000?
350000
What is 0.0000028462587 rounded to six decimal places?
0.000003
Round -0.000019708 to 7 decimal places.
-0.0000197
Round 0.061574 to three decimal places.
0.062
Round 0.1716156 to 4 decimal places.
0.1716
Round -8318527900 to the nearest 1000000.
-8319000000
Round 1.164613 to 3 decimal places.
1.165
What is -0.0000001763139 rounded to 7 dps?
-0.0000002
Round -0.0002011255 to 7 dps.
-0.0002011
Round -1.228553 to 3 decimal places.
-1.229
What is -134595.6 rounded to the nearest 1000?
-135000
What is -0.0001403348 rounded to six dps?
-0.00014
Round -0.0045129 to 3 decimal places.
-0.005
What is -5836743 rounded to the nearest one million?
-6000000
What is 0.1387238 rounded to four dps?
0.1387
What is 0.0660433 rounded to two dps?
0.07
What is -16655.99 rounded to 0 dps?
-16656
Round 0.4172906 to 1 dp.
0.4
Round -16157920 to the nearest 100000.
-16200000
Round 1346.465 to 0 dps.
1346
What is 4.872074 rounded to 1 dp?
4.9
What is -6.2843 rounded to zero decimal places?
-6
What is 0.0209271 rounded to 4 dps?
0.0209
What is -14540987 rounded to the nearest ten thousand?
-14540000
Round -0.001910646 to four decimal places.
-0.0019
Round -65.15664 to 0 dps.
-65
What is -191081000 rounded to the nearest 100000?
-191100000
What is 4.5589093 rounded to 1 dp?
4.6
Round 0.027881227 to two decimal places.
0.03
Round 32.8016 to two decimal places.
32.8
What is 37.0252 rounded to one decimal place?
37
What is 3.38812 rounded to two dps?
3.39
What is 0.000443014 rounded to four dps?
0.0004
Round -806.3 to the nearest ten.
-810
Round 35.271576 to 2 dps.
35.27
What is -56223806 rounded to the nearest 100000?
-56200000
Round -223437000 to the nearest 1000000.
-223000000
Round 0.006524944 to three dps.
0.007
What is -12975400 rounded to the nearest 100000?
-13000000
Round 575.95 to the nearest ten.
580
Round -10818.74 to the nearest 100.
-10800
Round 2576094 to the nearest one thousand.
2576000
What is -13260350 rounded to the nearest 10000?
-13260000
Round 0.000819963 to six dps.
0.00082
What is 1879.92 rounded to the nearest 10?
1880
Round -946.4 to the nearest 10.
-950
What is 91.71261 rounded to 0 decimal places?
92
Round 0.000025051348 to 6 decimal places.
0.000025
What is -51404.79 rounded to the nearest one hundred?
-51400
Round 16.756556 to 0 decimal places.
17
What is 42607390 rounded to the nearest 100000?
42600000
What is 148161.9 rounded to the nearest 10000?
150000
Round -1.4383535 to 1 decimal place.
-1.4
What is -0.007132 rounded to 4 decimal places?
-0.0071
What is 0.079367 rounded to 3 dps?
0.079
What is 0.10047565 rounded to three decimal places?
0.1
Round -13.3951265 to 1 dp.
-13.4
What is 1330624 rounded to the nearest one hundred thousand?
1300000
What is -5.88429 rounded to 0 decimal places?
-6
Round -1157.1423 to 1 decimal place.
-1157.1
What is 0.005895101 rounded to six decimal places?
0.005895
What is 0.00010514404 rounded to 7 dps?
0.0001051
What is 0.000055182705 rounded to 7 decimal places?
0.0000552
Round -58852.6 to the nearest one hundred.
-58900
Round 0.00000618081 to 6 dps.
0.000006
What is 0.054654 rounded to four decimal places?
0.0547
Round -2.283356 to two decimal places.
-2.28
Round -0.000034929 to 7 dps.
-0.0000349
Round 3.479353 to the nearest integer.
3
Round -0.0001260766 to six dps.
-0.000126
Round -0.05229478 to three dps.
-0.052
Round -12502973 to the nearest one hundred thousand.
-12500000
Round 0.0000179546 to six dps.
0.000018
Round 1.988376 to 2 decimal places.
1.99
Round 2160220 to the nearest one thousand.
2160000
Round 104.3512 to 1 dp.
104.4
What is 0.00206237 rounded to four dps?
0.0021
Round -0.01568124 to three dps.
-0.016
What is -0.000108835 rounded to 5 dps?
-0.00011
What is -0.00014077059 rounded to 6 decimal places?
-0.000141
Round 245.9344 to 1 dp.
245.9
Round 81581.54 to the nearest ten thousand.
80000
Round -306.685 to the nearest 10.
-310
What is -0.000022284772 rounded to seven decimal places?
-0.0000223
What is 8279.102 rounded to the nearest 10?
8280
What is 9.28109 rounded to zero dps?
9
What is 0.000616103 rounded to six dps?
0.000616
Round -364681 to the nearest one thousand.
-365000
What is -0.00016635473 rounded to six dps?
-0.000166
What is 0.2442776 rounded to 4 dps?
0.2443
What is 13812.32 rounded to the nearest 100?
13800
What is 0.00110553541 rounded to six decimal places?
0.001106
What is 57763.8 rounded to the nearest 10000?
60000
What is 0.000027576 rounded to 6 decimal places?
0.000028
Round 0.000002685592 to six decimal places.
0.000003
What is -0.0257357 rounded to three decimal places?
-0.026
Round 0.0023559416 to 5 decimal places.
0.00236
What is -0.0417768 rounded to three dps?
-0.042
What is -20.0032 rounded to 1 dp?
-20
Round -624279 to the nearest 1000.
-624000
What is -43907690 rounded to the nearest ten thousand?
-43910000
Round -754822.4 to the nearest one thousand.
-755000
What is -3.053768 rounded to one dp?
-3.1
What is 0.000554627 rounded to six dps?
0.000555
Round 0.004469 to three dps.
0.004
What is -63470070 rounded to the nearest 1000000?
-63000000
Round -70581076 to the nearest ten thousand.
-70580000
Round 0.26620691 to two decimal places.
0.27
Round 0.00000159759 to six decimal places.
0.000002
Round -0.0000363219 to 7 decimal places.
-0.0000363
Round 270858 to the nearest 1000.
271000
Round 0.0007518337 to seven decimal places.
0.0007518
What is -4000.25 rounded to the nearest 10?
-4000
What is -46.8297 rounded to two decimal places?
-46.83
Round 0.238018 to 2 dps.
0.24
Round -0.000000512707 to 7 dps.
-0.0000005
What is -37383.46 rounded to the nearest ten thousand?
-40000
What is -52121.6 rounded to the nearest one hundred?
-52100
What is 0.638732 rounded to 0 decimal places?
1
Round 0.04518452 to five decimal places.
0.04518
What is 1.841271 rounded to two decimal places?
1.84
Round -0.0518319 to 3 dps.
-0.052
What is -0.2397574 rounded to 4 dps?
-0.2398
Round 0.026907536 to five dps.
0.02691
What is 22.8645 rounded to 1 dp?
22.9
What is 486572 rounded to the nearest 10000?
490000
What is -0.0547699 rounded to two decimal places?
-0.05
What is -17.592453 rounded to one decimal place?
-17.6
What is -0.00000211788 rounded to six dps?
-0.000002
What is 1123
|
{
"pile_set_name": "DM Mathematics"
}
|
-0.0122 (b) 2/9 (c) 0 (d) 0.14
b
What is the nearest to -2/7 in 0.3, -2/7, 35/8, 0.1, -13?
-2/7
Which is the nearest to 3? (a) 0.03 (b) -2 (c) 2/1927 (d) -0.3
a
Which is the closest to -10? (a) -2 (b) -71 (c) 64
a
What is the nearest to 35/17 in -0.2, 0.1, -8?
0.1
Which is the nearest to 1399? (a) -2/15 (b) 0.4 (c) 1/12 (d) 2
d
What is the closest to -2/15 in 8.9, 4/7, 5, 12, -2/5?
-2/5
Which is the closest to 7? (a) -79 (b) -2/3 (c) -2/21 (d) 1/3
d
Which is the closest to 0.0205? (a) -0.14 (b) 1 (c) 0.5
a
Which is the nearest to 6? (a) -0.04 (b) -6 (c) -1 (d) 3 (e) -8
d
What is the nearest to 4 in -2/13, -1/6, 2/13, -1/2?
2/13
What is the closest to 2/5 in 1/38, 0.5, 1, 337/3?
0.5
What is the nearest to -44 in -4, 436, 1, -1?
-4
Which is the nearest to 0.1? (a) -2 (b) 2 (c) 0.3 (d) -2/3
c
What is the closest to -1/2 in 0.5, -1, -2/3, 270?
-2/3
What is the nearest to 1 in 0.688, 296.3, -0.4?
0.688
What is the nearest to 6 in 0.27, -9, -1/3, 27?
0.27
What is the closest to -1 in 0.2, 1/6, -608/33?
1/6
Which is the nearest to 1/4? (a) -0.3 (b) -2/17 (c) 1/48 (d) -17
c
Which is the closest to 2063? (a) 6 (b) 25 (c) -3
b
What is the closest to 2/13 in 1/9, -17, -0.3, 0.056?
1/9
Which is the closest to -1/6? (a) -0.1 (b) -21/122 (c) -17.6
b
What is the nearest to -2/9 in 5, -34, -22.8, 1/4, 0.7?
1/4
What is the closest to 0.2 in -1/2, -43, 0.05, -5/4?
0.05
What is the nearest to 18 in -3, -1, 0, -25?
0
What is the closest to -0.1842 in 20/3, 0.1, 1/2?
0.1
Which is the closest to 133514? (a) 1/6 (b) -0.2 (c) 4/3 (d) -0.3
c
Which is the nearest to -1? (a) -2 (b) -916/7 (c) -0.2
c
Which is the nearest to -2/5? (a) -7 (b) 0.1 (c) -6 (d) -8 (e) -1
b
What is the closest to 1 in 0.3, 0.1, -1/8, 29/4, 15?
0.3
What is the nearest to 0.11 in -1/4, 0.3, 1/5, -3.49, 2?
1/5
What is the closest to 2/23 in -1, 362, -0.4?
-0.4
Which is the nearest to 2? (a) 277/6 (b) 0.4 (c) -0.067 (d) 0.3
b
What is the nearest to 1 in 2/5, -127, 21?
2/5
Which is the closest to 2/7? (a) 30 (b) 0.4 (c) 4 (d) -0.6 (e) -14
b
What is the closest to 1/6 in 1.1, -1.89, 3, 0?
0
Which is the closest to 7430? (a) -5/4 (b) 4.1 (c) 2 (d) 0.1
b
Which is the nearest to -1? (a) -4 (b) 4 (c) -21/359 (d) 5
c
Which is the nearest to -0.1? (a) 8 (b) -0.05 (c) -0.4 (d) 95 (e) -3
b
What is the closest to -7 in -0.04, 3.23, -0.2?
-0.2
Which is the closest to 0.1? (a) -3/4 (b) 4 (c) 0.13
c
Which is the nearest to -4? (a) 0.05 (b) 3 (c) 1/74
c
Which is the nearest to -338? (a) 74 (b) 4 (c) -0.1 (d) 10
c
Which is the closest to -70? (a) -0.1 (b) -0.2 (c) -3/7
c
What is the nearest to 2 in -0.4, -12695, -1, -5?
-0.4
What is the closest to -46 in 93/5, 3, -2/9?
-2/9
Which is the nearest to 1/3? (a) 46/5 (b) 0 (c) 1/5 (d) -5
c
What is the nearest to 3/4 in -27, 4, -233?
4
Which is the nearest to 0? (a) 5 (b) -0.4 (c) 0.5 (d) 630
b
Which is the nearest to 5/8? (a) -23/4 (b) 3/2 (c) -2/3
b
What is the closest to -5 in -3/4, 4, -0.051063?
-3/4
Which is the nearest to -0.1? (a) 21 (b) 56/9 (c) -1/4
c
Which is the nearest to 4733? (a) -0.2 (b) -5 (c) 2/23
c
What is the nearest to 1 in 2, 3374, 2/23, -4.3, 5?
2/23
What is the closest to -47 in 1/27, 1/9, -1/29?
-1/29
Which is the nearest to 3/7? (a) -0.2 (b) 20349 (c) 4
a
What is the nearest to -14 in 13, 1/2, 4, 2/7?
2/7
Which is the closest to -1/2? (a) 2/17 (b) 2/3 (c) -50/67
c
What is the nearest to 5 in 1/170, -21, 0.1?
0.1
Which is the closest to 17779? (a) 51/7 (b) -2/7 (c) 0
a
Which is the nearest to 1? (a) 0.321 (b) 4 (c) 3/4 (d) -0.1 (e) 0.05
c
What is the closest to 11 in 784, 2/11, 0.2, -24/7?
0.2
What is the nearest to 1960 in -7/3, -3/7, -1, -5?
-3/7
What is the nearest to 1/4 in -88, -0.2, -1/7, 5/11?
5/11
Which is the nearest to -2/5? (a) -0.18 (b) -2 (c) 3/11 (d) -6
a
What is the closest to 55 in -3, 0, 45?
45
What is the closest to -11/83 in -5, -1/3, -143?
-1/3
Which is the closest to 10? (a) 0.4 (b) 2/3 (c) 0.1 (d) -15/2 (e) 5/6
e
Which is the closest to 1? (a) -1/4 (b) 162 (c) -0.4 (d) -16/37
a
What is the nearest to -0.3 in -3, 982, 5/2?
-3
Which is the closest to 24? (a) 1 (b) 469 (c) 5
c
Which is the nearest to 0.2? (a) 30 (b) 48 (c) -3 (d) -0.1
d
What is the closest to 0.3 in 9, 0.0133, -0.5, -0.1?
0.0133
Which is the nearest to 1? (a) 0.5 (b) 3 (c) -3 (d) -8225
a
Which is the closest to -3? (a) -3 (b) 0 (c) 1 (d) -5/96 (e) -0.5
a
Which is the closest to -1/2? (a) 0 (b) -2 (c) -0.294 (d) -5 (e) 2/5
c
What is the nearest to -16 in 48, -9, 0.4?
-9
What is the closest to -0.2 in 1, -7047, -2/9?
-2/9
What is the closest to -0.056 in -2/7, -17, -36?
-2/7
What is the closest to 1/4 in -5, -2/9, 3, -1.191?
-2/9
What is the closest to -1/4 in -0.2, -347.5, -91?
-0.2
What is the closest to 2/7 in 13, 0.16, -5, -0.119?
0.16
Which is the closest to -0.1? (a) 0.4 (b) -281 (c) 6.4 (d) 3/2
a
Which is the nearest to -2? (a) 8 (b) 2/5 (c) 2 (d) -127
b
What is the nearest to 9 in -3, 5/8, 1/4?
5/8
What is the closest to 2.7 in 194, -1/5, 2?
2
Which is the nearest to 2/3? (a) -16 (b) -4/41 (c) 1/7 (d) 4
c
Which is the nearest to 1/3? (a) 0.21 (b) -0.3 (c) -16 (d) -0.04 (e) 1/9
a
Which is the closest to 7/5? (a) 1/16 (b) -3 (c) 42
a
What is the nearest to 1.7 in -2, -2/3, 0.3, 55?
0.3
What is the nearest to 3.2 in 1, -1, 0.0417?
1
Which is the nearest to -1.1? (a) -2 (b) -5/4 (c) 1 (d) 0 (e) 4
b
What is the nearest to 2 in -0.3, -3, -35?
-0.3
Which is the closest to -96? (a) -0.09 (b) 5 (c) 3 (d) -21
d
What is the nearest to 0.1 in -0.01, 1/3, -5, 0.197, -0.08?
0.197
What is the nearest to 1 in 2/473, -0.1, -193?
2/473
Which is the closest to 0.1? (a) 185 (b) 2 (c) -0.1
c
What is the nearest to 11184 in 3/5, -1, -0.1, -0.2, 1/2?
3/5
Which is the closest to -0.2? (a) 0 (b) 3/4849 (c) -4 (d) 1/5
a
Which is the closest to 4/11? (a) -13/5 (b) -6 (c) 0.1
c
Which is the nearest to -1/3? (a) 41 (b) 2 (c) -6/23
c
What is the closest to 0 in 4, -1/3, 69/2, 5, 2?
-1/3
What is the closest to -3/4 in -5, -1090, -0.4, -2?
-0.4
What is the closest to -9.2 in -1, 2, -2/19, -5, 5?
-5
What is the closest to 4 in -20/17, -4, 18?
-20/17
Which is the closest to -1/4? (a) -1040 (b) -1 (c) 1
b
What is the closest to -36 in 2/7, 0, 13?
0
Which is the nearest to -7.6? (a) 3 (b) -10 (c) 1
b
What is the nearest to -0.2 in -1/9, -2, 0.5, 7787, -1?
-1/9
Which is the closest to -0.14? (a) -11/3 (b) 115 (c) -3
c
What is the nearest to -15/14 in 1, 0, 5?
0
Which is the nearest to 1? (a) 0 (b) -2/9 (c) 176
a
What is the nearest to 3/4 in 9, -1/2, -11/5, -1/9?
-1/9
What is the closest to -3.104 in -1/5, 0.05, 2?
-1/5
Which is the closest to 0.1? (a) -0.05 (b) 2 (c) -0.2 (d) 0.0837
d
What is the closest to -1/4 in 2, 6/29, 8?
6/29
What is the closest to -1.1 in 28, -2, 3/4, 1?
-2
What is the closest to 0.16 in -1/17, 0.3, -4/67?
0.3
Which is the closest to 2/159? (a) -0.6 (b) 2 (c) 1 (d) -2 (e) -0.1
e
Which is the nearest to 2? (a) -3/73 (b) 161 (c) -0.2
a
What is the closest to -11 in 164, -4, 42, -0.2?
-4
Which is the closest to -0.1? (a) -0.162 (b) -0.2 (c) 1 (d) 1/5 (e) 21
a
What is the nearest to -505.8 in -0.2, 1/5, 3?
-0.2
What is the nearest to -1 in -4, 2/5821, -4/7, -0.1?
-4/7
What is the closest to 1 in 1, -2406/7, 3, -4, 3/2?
1
Which is the nearest to 20? (a) -2/17 (b) 3/572 (c) -0.4 (d) -0.2
b
Which is the closest to 1/4? (a) 18/11 (b) -2/9 (c) 1/8 (d) 0.29
d
Which is the nearest to 66.4? (a) 5 (b) -4 (c) -5
a
Which is the nearest to 1? (a) -107 (b) -21 (c) 42 (d) 0
d
Which is the closest to -1/2? (a) 3/5 (b) -751 (c) -0.1 (d) -3/5
d
What is the nearest to 1 in -0.4, -0.2, -2583, -2/3, -0.03?
-0.03
Which is the nearest to 0.016? (a) -0.2 (b) -0.19 (c) 3/20
c
Which is the nearest to 1/2? (a) -1/6 (b) -0.2 (c) -213 (d) 3
a
What is the closest to 29 in -2/7, -15, -1, -12, 5?
5
Which is the nearest to 0.23? (a) 463 (b) 4 (c) -5
b
What is the closest to -4 in 1/5, 3/4, -1/3?
-1/3
Which is the closest to 2.8? (a) -3 (b) -28 (c) 0.4 (d) 4 (e) 2.5
e
What is the nearest to 154 in -3, -5, 0.014?
0.014
What is the closest to 8 in 5
|
{
"pile_set_name": "DM Mathematics"
}
|
hundred thousands digit of 792350821?
3
What is the units digit of 7893682?
2
What is the thousands digit of 1580186244?
6
What is the ten millions digit of 399536782?
9
What is the hundreds digit of 2661818494?
4
What is the units digit of 444009509?
9
What is the millions digit of 484693991?
4
What is the ten millions digit of 33699550?
3
What is the hundred thousands digit of 2252709578?
7
What is the hundreds digit of 203109683?
6
What is the ten thousands digit of 74000315?
0
What is the hundred millions digit of 1127887214?
1
What is the millions digit of 38764395?
8
What is the hundred millions digit of 127988357?
1
What is the thousands digit of 769653463?
3
What is the tens digit of 100858836?
3
What is the hundreds digit of 615912774?
7
What is the ten thousands digit of 6734775?
3
What is the ten millions digit of 110420994?
1
What is the hundreds digit of 2426378755?
7
What is the ten millions digit of 2496664290?
9
What is the millions digit of 64131120?
4
What is the hundreds digit of 87569215?
2
What is the tens digit of 1243137278?
7
What is the hundred thousands digit of 1518113171?
1
What is the ten millions digit of 103213276?
0
What is the hundred thousands digit of 71394264?
3
What is the tens digit of 75481729?
2
What is the hundred millions digit of 716090817?
7
What is the thousands digit of 22278782?
8
What is the hundreds digit of 805577196?
1
What is the hundreds digit of 72409887?
8
What is the tens digit of 756540848?
4
What is the tens digit of 293097107?
0
What is the hundred thousands digit of 58245440?
2
What is the ten millions digit of 69665432?
6
What is the ten thousands digit of 328721297?
2
What is the hundreds digit of 1414816804?
8
What is the ten thousands digit of 334604033?
0
What is the hundred millions digit of 487195507?
4
What is the tens digit of 149303800?
0
What is the tens digit of 402167068?
6
What is the ten thousands digit of 811876339?
7
What is the ten millions digit of 31413849?
3
What is the thousands digit of 120306617?
6
What is the hundreds digit of 1912729792?
7
What is the millions digit of 4506271443?
6
What is the tens digit of 2074894845?
4
What is the units digit of 9093027?
7
What is the hundreds digit of 4104834284?
2
What is the ten millions digit of 880024389?
8
What is the ten millions digit of 60284934?
6
What is the ten thousands digit of 5092929399?
2
What is the millions digit of 42009745?
2
What is the tens digit of 204612719?
1
What is the thousands digit of 457934410?
4
What is the units digit of 255720039?
9
What is the hundred millions digit of 638179302?
6
What is the hundreds digit of 344462439?
4
What is the ten millions digit of 13425733?
1
What is the hundred millions digit of 739495463?
7
What is the tens digit of 115408637?
3
What is the units digit of 43038910?
0
What is the ten millions digit of 506892966?
0
What is the ten thousands digit of 47900690?
0
What is the tens digit of 71431367?
6
What is the hundreds digit of 71939953?
9
What is the hundreds digit of 35075010?
0
What is the ten millions digit of 93988529?
9
What is the thousands digit of 508397751?
7
What is the ten millions digit of 3715467062?
1
What is the ten thousands digit of 1287013788?
1
What is the units digit of 2993866821?
1
What is the hundreds digit of 457184514?
5
What is the hundreds digit of 557166152?
1
What is the hundred thousands digit of 1119183695?
1
What is the thousands digit of 24926089?
6
What is the hundreds digit of 579056618?
6
What is the hundreds digit of 70214507?
5
What is the thousands digit of 656755400?
5
What is the millions digit of 1983718760?
3
What is the thousands digit of 55512568?
2
What is the thousands digit of 18333178?
3
What is the thousands digit of 5434415917?
5
What is the tens digit of 191352649?
4
What is the hundred thousands digit of 3012252266?
2
What is the hundreds digit of 154919941?
9
What is the millions digit of 53267859?
3
What is the hundred thousands digit of 363790524?
7
What is the tens digit of 42454745?
4
What is the millions digit of 38281116?
8
What is the hundred millions digit of 527015032?
5
What is the ten thousands digit of 128301365?
0
What is the tens digit of 148172986?
8
What is the millions digit of 269112375?
9
What is the tens digit of 136949677?
7
What is the units digit of 148583257?
7
What is the units digit of 131089568?
8
What is the hundred millions digit of 215839359?
2
What is the hundred thousands digit of 212382788?
3
What is the hundred millions digit of 6501715869?
5
What is the hundreds digit of 2266576676?
6
What is the hundred thousands digit of 33179146?
1
What is the hundred thousands digit of 5760418?
7
What is the thousands digit of 76045536?
5
What is the hundred thousands digit of 56398238?
3
What is the hundreds digit of 71937871?
8
What is the thousands digit of 2042619334?
9
What is the hundred thousands digit of 3782886052?
8
What is the hundred thousands digit of 3697646?
6
What is the hundred thousands digit of 41548028?
5
What is the hundreds digit of 46780865?
8
What is the thousands digit of 93617065?
7
What is the units digit of 125981664?
4
What is the ten thousands digit of 744053581?
5
What is the hundred thousands digit of 607871637?
8
What is the units digit of 55685530?
0
What is the tens digit of 3842197?
9
What is the tens digit of 69619782?
8
What is the hundred thousands digit of 44618338?
6
What is the tens digit of 231701591?
9
What is the hundred millions digit of 142840219?
1
What is the thousands digit of 54280351?
0
What is the ten millions digit of 37618033?
3
What is the hundred thousands digit of 3636346?
6
What is the millions digit of 100080716?
0
What is the tens digit of 28930609?
0
What is the tens digit of 478364911?
1
What is the hundred millions digit of 128103508?
1
What is the billions digit of 1996116224?
1
What is the hundred millions digit of 1330371884?
3
What is the hundreds digit of 507510619?
6
What is the hundreds digit of 2869463172?
1
What is the thousands digit of 38751058?
1
What is the ten thousands digit of 450614791?
1
What is the hundred millions digit of 173939505?
1
What is the ten millions digit of 22201277?
2
What is the units digit of 445781037?
7
What is the millions digit of 76662607?
6
What is the millions digit of 75110166?
5
What is the thousands digit of 2516569932?
9
What is the ten millions digit of 125418300?
2
What is the billions digit of 5367378225?
5
What is the tens digit of 1768021163?
6
What is the ten millions digit of 656870432?
5
What is the ten thousands digit of 1239342979?
4
What is the hundred thousands digit of 5158723288?
7
What is the millions digit of 18628609?
8
What is the ten thousands digit of 1608471796?
7
What is the units digit of 11992077?
7
What is the hundred thousands digit of 1536743581?
7
What is the thousands digit of 68162273?
2
What is the tens digit of 16505964?
6
What is the ten thousands digit of 2571829587?
2
What is the ten thousands digit of 911922495?
2
What is the tens digit of 337455276?
7
What is the millions digit of 39337936?
9
What is the ten thousands digit of 33299178?
9
What is the hundred thousands digit of 50185430?
1
What is the hundred thousands digit of 708675634?
6
What is the ten millions digit of 32292657?
3
What is the ten thousands digit of 194337288?
3
What is the thousands digit of 98874986?
4
What is the ten millions digit of 45445457?
4
What is the ten millions digit of 1164150254?
6
What is the thousands digit of 39257775?
7
What is the tens digit of 259151903?
0
What is the ten millions digit of 76444332?
7
What is the tens digit of 992011282?
8
What is the hundreds digit of 7966478?
4
What is the hundred thousands digit of 57370607?
3
What is the hundreds digit of 781645397?
3
What is the ten thousands digit of 267098829?
9
What is the tens digit of 96697879?
7
What is the hundreds digit of 35012703?
7
What is the hundreds digit of 3292597012?
0
What is the ten thousands digit of 199303426?
0
What is the units digit of 6259948271?
1
What is the hundred thousands digit of 3913620601?
6
What is the hundreds digit of 14251849?
8
What is the hundred millions digit of 1068017604?
0
What is the billions digit of 3599357745?
3
What is the hundreds digit of 2
|
{
"pile_set_name": "DM Mathematics"
}
|
- 1 for t.
0
Solve 0 = 5*x - 2*k + 14, -5*k + 10*k = 10 for x.
-2
Solve 0 = 3*r + h - 427 + 430, 3*r + 3 = 5*h for r.
-1
Solve -23 - 12 = 2*r + 5*a, 0 = -2*a - 10 for r.
-5
Solve 21*k - 28 = 19*k + 5*g, k = 3*g + 16 for k.
4
Solve -3*y = 2*a - 3, 4*y + 5*a - 7*a = 18 for y.
3
Solve 2*k - 8 = 3*a, 3*a - 3 = -k - 8 for a.
-2
Solve -10*o + 44 = -6*o + 4*a, -4*o + 36 = 3*a for o.
3
Solve -2 = -q + v, 4 = 5*q - 9*v + 6*v for q.
-1
Solve -4*y - 5*u = -9*y - 25, -4*y - 20 = -2*u for y.
-5
Solve -4*z + 4 = 0, 11 = -b - 3*z + 16 for b.
2
Solve c + 3*a - 28 = -41, 1 = -c + a for c.
-4
Solve -95 = -x - 3*c - 98, -2*x = c + 6 for x.
-3
Solve y + 2*d = 12, d - 24 = -7*y + 2*y for y.
4
Solve -3 = -3*o - g - 2*g, -o + g = 9 for o.
-4
Solve -2*m - 3*q + 9 = 0, q = 4*m - 0*q - 11 for m.
3
Solve -15*k + 12*k + 13 = g, -25 = 5*g for k.
6
Solve 5*l + 2*t - 4 = 0, -3*t + 9 = l + 3 for l.
0
Solve -5*m - 8 = -p, -58*p + 8 = 4*m - 54*p for m.
-1
Solve 4*d + 3 + 3 = 2*o, -3*o = d - 9 for d.
0
Solve -5*i + 30 = 6*k - 3*k, 5*k = 25 for i.
3
Solve 5*p = 5*h + 45, 4 - 9 = h for p.
4
Solve -5*y - p + 63 = 53, 0 = 5*y + 5*p - 10 for y.
2
Solve j - 4*v - 17 = 0, -4*v = -4*j - 3*v - 7 for j.
-3
Solve 4*m - 132*y = -134*y, y - 6 = m for m.
-2
Solve 9 = 4*g - 3*r, -3*g - 7 = -r - 15 for g.
3
Solve 4 = -p + 8, p - 24 = -5*n for n.
4
Solve 2 = -2*z, -2*t + 14 - 12 = -2*z for t.
0
Solve -5*f + 15 = 3*z, -4*f - 2 = 2*z - 14 for f.
3
Solve -2*h + 23 = -5*i, -2*h + 3*i + 13 = -0*h for h.
-1
Solve 0 = 4*f + 3*r - 23, 2*r - 3*r + 11 = 2*f for f.
5
Solve 0 = -5*h + 2*i - 18, -40 = h - i - 37 for h.
-4
Solve r = 3*r + 4*x - 2, -2*r + 2 = -2*x for r.
1
Solve 5*u = -10, -2*y + 2*u - 4 = -0*y for y.
-4
Solve -3*j = -4*s - 6*j + 35, 15 = 4*s - j for s.
5
Solve -4*r + 5*k = 2, -r = 3*k + 2*k - 12 for r.
2
Solve -g + 18 = n + 2*g, -10 = -2*g for n.
3
Solve -20 = -5*x + 5*m, -x - m + 0*m = -2 for x.
3
Solve -2*v = 11*z - 8*z - 1, 5*z + 2*v - 7 = 0 for z.
3
Solve -3*l = -6*w + 27, 2*l - 5*w - 9 = -31 for l.
-1
Solve 2*i + 2*q = 2, 157 = -2*i + 5*q + 173 for i.
3
Solve 8*a = -2*l + 3*a + 16, 3*l + 3*a = 6 for l.
-2
Solve 4*f + 24 = 4*m, 5*f + 7 + 19 = 3*m for f.
-4
Solve 3*x + 5*v = 9, -12 = -3*x - x - 2*v for x.
3
Solve -3*f = -2*a - 9, 4*f + 2*a - 11 = 3*f for f.
5
Solve 3*y - 5*n = -9*n - 21, -9 = -y + 4*n for y.
-3
Solve 0 = 4*r + 4*a - 4, -3*a - 2 - 11 = -5*r for r.
2
Solve 0 = 5*h + 25, i + 3*h + 20 = -4*i for i.
-1
Solve -4*s = -3*x + 16, 0 = 10*x - 5*x + 2*s + 8 for x.
0
Solve 0 = -5*t - 4*d - 9, 4*t - d + 2*d = -5 for t.
-1
Solve 0 = -u, 5*h + 4*u - 9*u - 15 = 0 for h.
3
Solve -2*l + 6*t = 5*t + 3, 4*t - 8 = 4*l for l.
-1
Solve -5*v + n = -357 + 375, 4*n = -5*v - 3 for v.
-3
Solve 4*c + 2 + 2 = 4*l, l + 4 = 0 for c.
-5
Solve -18*b - 16 = -14*b - 2*u, 0 = 4*b - 5*u + 28 for b.
-2
Solve 0 = -79*n + 82*n + 2*g - 12, -3*n + 4*g + 12 = 0 for n.
4
Solve -j - 5 = -d, d = j + j + 10 for j.
-5
Solve -j = 5*n + 25, -5*n - 56*j = -58*j + 10 for n.
-4
Solve -243*x = -3*c - 242*x + 21, -5*x = -c + 21 for c.
6
Solve -6 = 4*u - 3*n - 9, u + 5*n + 5 = 0 for u.
0
Solve 3*k = v - 17, -4*v + 8 = -4*k - 28 for k.
-4
Solve -2 = -n - c - 2*c, -4*n = -4*c - 24 for n.
5
Solve -4*b = -0*b - p + 2, 3*b + 5*p = 10 for b.
0
Solve 4*z - 5*g = -2, 17 = 38*z - 41*z - 4*g for z.
-3
Solve -z - 2*y = -6, 4*y + 2 = 4*z + y for z.
2
Solve 3*t + 3*p = -3, -7*t + 2*t - 3*p = 7 for t.
-2
Solve -2*p = 2*h + 4, -6*h = -2*p - 7*h - 3 for p.
-1
Solve -4*y + 14*n - 8 = 10*n, 3*y = -n - 10 for y.
-3
Solve -5*c + 18*v - 23 = 15*v, -3*v = -3 for c.
-4
Solve 3 = 3*j + 5*y - 2*y, 0 = 5*j - y + 13 for j.
-2
Solve -3*d + 0 - 14 = w, -2*d - 16 = 2*w for d.
-3
Solve -4*c - 2*u + 3 - 29 = 0, -4*c - u - 21 = 0 for c.
-4
Solve 0*o + 4*o - 13*v - 8 = 0, o - 3*v - 2 = 0 for o.
2
Solve -3*d - 118 = -5*c - 135, -c + d = 5 for c.
-1
Solve -4*k = -3*s, -s - 2*s - 3*k - 21 = 0 for s.
-4
Solve 2*z + 6 = 15*m - 14*m, 22 = -3*m - 2*z for m.
-4
Solve -20 = -4*s - 4*f, 2*f + 0*f - 10 = -4*s for s.
0
Solve 10 = -5*p + 2*b - 7*b, 0 = -p - 2*b for p.
-4
Solve -5*d - 34*k = -39*k - 15, -2*d + 16 = 3*k for d.
5
Solve 5*a + 2*f - 6*f = -8, -2*a - 3*f = 17 for a.
-4
Solve 5*x = 4*o + 40, -6*x + 3*x + 22 = -2*o for x.
4
Solve -5*k - 5 + 0 = 0, 5*f + k = 24 for f.
5
Solve 0 = -2*q + 3*b + 12, -4*q + 20 = -q - 5*b for q.
0
Solve i + 3*i + 22 = 2*t, 14 = -t - 3*i for t.
1
Solve -4*p - 4*q = 24, 0*q - 5*q = 3*p + 26 for p.
-2
Solve 4*y + 3*j + j = 0, 0 = y - 5*j for y.
0
Solve -3*y - s + 3 = -7, -20 = -4*y + 2*s for y.
4
Solve -117*y = -113*y - h + 8, 5*h - 16 = -4*y for y.
-1
Solve -4 + 10 = 2*s, 5*c + 4*s + 13 = 0 for c.
-5
Solve l - 5*l = -4*q, -q - 2 = 0 for l.
-2
Solve -17*g = 4*k - 20*g + 35, -3*g - 21 = 3*k for k.
-8
Solve -2*r + 6 = 5*s + 24, -8 = r + 2*s for r.
-4
Solve -59*s = c - 56*s, 0 = -4*c + 5*s for c.
0
Solve 5*y - 13 + 5 = -2*d, 2*d - 8 = 2*y for y.
0
Solve -5*f + 2*f = -5*q + 1, 2*q - 4 = 3*f for f.
-2
Solve 3*r - 3*c = -7*c + 2, 2*c = 2*r - 6 for r.
2
Solve q = 4 - 5, 13 = -4*l - 5*q for l.
-2
Solve -5*h - 3 = 5*b - 13, -9 = -2*h - 3*b for h.
-3
Solve 3*h - 21 = 3*w, -3*h - 3*w = -2*w - 1 for h.
2
Solve 3*j - 3*h + 4 - 10 = 0, -4*j + 3*h = -4 for j.
-2
Solve -47*q = -45*q - 5*d + 37, 0 = -4*q + d - 11 for q.
-1
Solve 49 = -2*t - 2*s + 43, -2*s - 8 = 0 for t.
1
Solve -4*d - 4 = 2*m - 18, 0 = 4*d - 12 for m.
1
Solve 4*g - 10 = -5*k + 2, 6 = 2*g + 3*k for g.
3
Solve -5*c - 7 + 17 = -5*w, 5 = -3*w + 4*c for w.
-3
Solve 5*f + 0*f + 35 = 5*h, -2*h + 5*f + 23 = 0 for h.
4
Solve -2*t - 38 = 5*b - 73, -2*b + 14 = 4*t for b.
7
Solve -5*t + 5 = 2*l - 10*t, 1 = l - 4*t for l.
5
Solve -3*m = -3*j - 4*m - 8, -2*m - 4 = 2*j for j.
-3
Solve 3*z = -5*x + 28, -2*z - 17*x = -12*x - 27 for z.
1
Solve 3*h + 5*j = 2*j, 5*j + 7 = 2*h for h.
1
Solve -2*k + 12 - 42 = -4*t, 0 = -t + 5 for k.
-5
Solve 10*k - 8*k = 5*n - 10, 0 = -n + 2 for k.
0
Solve -4*l = -3*b + 27, 3*l + 0*l + 29 = 4*b for b.
5
Solve 7 = 3*g - t, -3*t + 0*t + 23 = 2*g for g.
4
Solve 0 = -5*f - 23*o + 18*o, -2*f - 4*o = 6 for f.
3
Solve -2*i - 9 + 19 = 3*k, 10 = 2*i - 2*k for i.
5
Solve l = 5*j - 18, 3*l = 3*j - 2*l - 24 for j.
3
Solve -81*f - g + 3 = -84*f, 4*f + 5*g = 34 for f.
1
Solve -w - 2*i = 11, -9*w - 2*i - 8 = -11*w for w.
-1
Solve 5*q = -2*h - 1 + 8, 23 = q - 5*h for q.
3
Solve 3*f + v - 14 = -37, 0 = 4*v + 20 for f.
-6
Solve -5*n - 5*r = -10*r + 10, 0 = 4*n + 3*r - 27 for n.
3
Solve 0 = -4*x + 2*j + 12, 7*x = 2*x + 4*j + 15 for x.
3
Solve 4*j + 24 = 3*o, o = -28*j + 26*j - 2 for o.
4
Solve -t = -2*k + 11 - 6, -3*t - 4*k = 5 for t.
-3
Solve 6*g = 4*s + 3*g - 14, -4*g - 12 = -2*s for s.
2
Solve 0 = -w + 5*g - 17, g - 34 = -30 for w.
3
Solve 3*o = -r - 5 - 0, -3*r - 4 = -2*o for r.
-2
Solve -2*i - 2*w + 4 = 0, -3*w + 0*w = -9 for i.
-1
Solve 0 = -16*y + 13*y + 2*a + 10, -3*y + 3*a + 12 = 0 for y.
2
Solve 238*i + 45 = 233*i - 5*t, -6 = -i + 2*t for i.
-4
Solve 19 = -2*j + 3*x, j + 2*x - 3 = 5 for j.
-2
Solve 0 = 3*o + h + 8, 0 = -o + 2*o - 4*h - 19 for o.
-1
Solve -3*q - 2*a = 20, 5*q + 36 = -18*a + 14*a for q.
-4
Solve 3*d - 4 = -2*l - 18, -d + 2 = -l for d.
-2
Solve 0 = 2*g + 5*d - 4 + 25, -31 = -3*g + 5*d for g.
2
Solve 7*n = 5*v + 10*n + 7, -5*v - 13 = -3*n for v.
-2
Solve 5*d = -4*y - 37, -7*d + 12*d + 2*y = -31 for d.
-5
Solve 20 = -308*z + 313*z, -4*z + 12 = -g for g.
4
Solve -179*t - 7 = -177*t + 3*k, -4*k = t + 16 for t.
4
Solve 0 = -3*h + 5*x + 27, 174*h - 2*x = 178*h - 10 for h.
4
Solve 2 = 3*r + r - 3*h, -r + h = 0 for r.
2
Solve -4*f = -3*q + 6, -12*q = -14*q + 3*f + 4 for q.
2
Solve -2*z + 4*o - 2 = 0, 10*o + 3 = -3*z + 8*o for z.
-1
Solve 28 = -c + 5*z + 14, -4*c - z - 14 = 0 for c.
-4
Solve 3*v - 21*s + 16*s = 26, 0 = -5*s - 20 for v.
2
Solve -j = -5*w + 16, 3*j - 24*w = -20*w - 4 for j.
4
Solve u + 6 = 5*p, -11*u = -6*u + 3*p - 26 for u.
4
Solve -2*g + 6 = 3*f, -5*g = 2*f + 3 + 4 for g.
-3
Solve -7 - 8 = 3*p + 4*x, -4*p - 4*x = 20 for p.
-5
Solve -3*l - 29*n + 28*n + 9 = 0, -2*l = -4*n - 20 for l.
4
Solve -2*g + 20 = 5*d, 2*g = 4*g for d.
4
Solve -5*c = -b - 11, -3*c + 3*b = -6 - 3 for c.
2
Solve 0 = o + 4, -3*a - 28 = 2*o + 2*o for a.
-4
Solve -2*d + a = 6, -3*a - 40 + 28 = 0 for d.
-5
Solve -f = -3*s - 4, -f - 13*s + 18*s = -4 for f.
4
Solve -3*d = 3*l - 18, 2*l + 7*d = 2*d
|
{
"pile_set_name": "DM Mathematics"
}
|
j(h) = -19*h. Is j(c) a multiple of 9?
False
Let l be 0/(0 + 2/(-2)). Suppose 0 = -y + 4*g + 22, l*g = -3*g - 3. Is 9 a factor of y?
True
Let d be 1 + 3 + -5 - -11. Let f = d - -20. Does 5 divide f?
True
Suppose 6*l = 3*l - 5*j - 7, -4*l = 4*j + 12. Does 3 divide (-3)/l*4/1?
True
Let r(u) = -u**3 + 6*u**2 + 8*u - 8. Let i be r(7). Is (i - -1) + -1 + 31 a multiple of 11?
False
Let p = -18 + 13. Suppose 0*o + o - 3*u - 40 = 0, u = -5. Let n = o + p. Does 13 divide n?
False
Let f(y) = -y**2 + 22*y + 9. Is 26 a factor of f(11)?
True
Suppose 0 = 4*a + q - 17 - 52, 3*q - 71 = -4*a. Is a a multiple of 3?
False
Let p be 2/6 + (-812)/(-12). Suppose -6*i = -4*i - p. Is i a multiple of 17?
True
Let c be 4/10 - (-2670)/75. Suppose 0 = -2*h + 66 + c. Is h a multiple of 28?
False
Is 4/(-10) + 231/15 a multiple of 15?
True
Suppose -264 = -4*c + 2*u, 0 = u + 4*u - 20. Is 30 a factor of c?
False
Let j be (-2)/(3 - (-125)/(-41)). Suppose f - k - 2*k = -3, 5*f + j = 2*k. Let y(p) = p**2 + 6*p - 3. Is y(f) a multiple of 7?
False
Does 4 divide (-3)/(12/(-8)) + 13?
False
Let o = -80 + 92. Is o even?
True
Suppose 3*i - 3*p = 21, -4*p - 4 = 2*i - 0*i. Suppose 2*l - 2 = -2*c, -7*c + 3*c + 2*l = -22. Suppose i*v = -8 + 28, 3*o + c*v = 74. Does 9 divide o?
True
Suppose -6*q + 4*j = -2*q - 136, 5*q - 4*j - 174 = 0. Is q a multiple of 8?
False
Suppose -y + 3*y - 10 = 0. Let p = 10 - y. Suppose -p*h - 220 = -5*j - 0*j, -j = -5*h - 60. Is 14 a factor of j?
False
Let o = -20 - -7. Let m(s) = -7*s - 19. Is 16 a factor of m(o)?
False
Let h = -20 + 60. Is h a multiple of 19?
False
Let i = 3 - 0. Let x(y) = 13*y**2 + 3*y - 2. Let k be x(i). Suppose 0 = 2*h + 2*h - k. Is 12 a factor of h?
False
Let o = 1 + 2. Let v(b) be the third derivative of b**6/120 - b**5/60 + b**4/24 - 2*b**3/3 + 23*b**2. Is v(o) a multiple of 17?
True
Let x(q) = -q**2 - 6*q + 5. Let u be x(-6). Suppose c - 40 = -u*k, -32 = -c - k - 2*k. Does 5 divide c?
True
Is (7 - 5)*(-26)/(-4) a multiple of 13?
True
Suppose -3*s = -2*c + 4*c - 15, -s = 2*c - 9. Suppose s*j = -j + 48. Is j a multiple of 4?
True
Suppose 55 = 3*s - 2*u, 4*s = -2*u + 18 + 32. Does 5 divide s?
True
Let w(t) = -t**3 + 4*t**2 - 4*t + 2. Let n be w(2). Suppose -3*j - 3*a = j - 9, n*a - 20 = -5*j. Let g(d) = -d**3 + 8*d**2 - 9*d + 3. Is g(j) a multiple of 8?
False
Suppose 0 = -4*q + 4*j - 4, 0 = -4*q + 3*q - j + 7. Suppose 85 = q*s + i, -151 = -2*s - 3*s + 3*i. Does 13 divide s?
False
Suppose 0 = s - 5*r + 14, -r + 7 = 4*s - 0. Suppose -3 = q + s, -m = -3*q - 23. Does 3 divide m?
False
Suppose -3*p - 12 = -t, t - 6 = -0*p + p. Suppose n + t = 1. Does 22 divide ((-12)/9)/(n/33)?
True
Let g(m) = -9*m + 12. Let j be g(-9). Let i = 141 - j. Does 16 divide i?
True
Let w = 232 - -155. Is 43 a factor of w?
True
Suppose -3*s + 5*c = -28, -3*s - 1 = 3*c - 13. Is 2 a factor of s?
True
Suppose 5*s + 4*a - 2 = 1, -3*s - 2*a = -3. Suppose 3*t = -0*t. Suppose t = 4*f + 2*o - 90, 5*f - 39 = -s*o + 76. Is f a multiple of 10?
True
Does 7 divide 7/((-3)/(-5 + -4))?
True
Suppose -3*o = -5*o + 10. Suppose 0 = 5*k + 2*x - 36, 4 = -o*x - 6. Let z = k - 6. Is z a multiple of 2?
True
Let z = 8 + -6. Suppose 3*w + 2*f = 41, -z*w + 3*w = 4*f - 5. Does 8 divide w?
False
Let z = 31 - 14. Let b = 34 - z. Suppose -5*g + b + 83 = 0. Is 10 a factor of g?
True
Suppose 0*t + t - 4*n - 75 = 0, 5*t = -5*n + 250. Does 22 divide t?
False
Let t(x) = 10*x**2 + 3 + 8*x**2 - x**3 + 3 + 6*x - 24*x**2. Is 3 a factor of t(-7)?
False
Suppose -4*b = -27 - 9. Suppose -b = -2*h - 5*k + 55, -k + 26 = h. Does 7 divide h?
False
Suppose 7*a = 25 + 10. Does 2 divide a?
False
Let c(u) = -7*u**2 + u. Let k be c(1). Let s(g) be the third derivative of -g**5/60 - g**4/3 - 7*g**3/6 + 2*g**2. Is s(k) even?
False
Suppose 3*i = -2*i + 20. Suppose 27 + 5 = i*y. Is 4 a factor of y?
True
Let f(c) = -20*c**3 + 6*c**2 + 4*c. Let b(g) = -20*g**3 + 7*g**2 + 5*g. Let k(p) = 5*b(p) - 6*f(p). Does 12 divide k(1)?
False
Let t(r) = -r**2 - 1. Let c be t(3). Let b(d) = -2*d - 9. Is 4 a factor of b(c)?
False
Let a be (-2)/(-5) - (-69)/15. Suppose 20 = -0*h + a*h. Does 11 divide (17/h)/(1/4)?
False
Let d be (-291)/(-12) - 2/8. Suppose -5*m + d = -2*b + 132, 4*b = 2*m + 40. Is (-1)/((-1)/(-2)) - m a multiple of 10?
True
Is (2 + 0 - 5) + 19 a multiple of 4?
True
Suppose o + 1 = 18. Is 8 a factor of o?
False
Let t = 13 - 21. Let l = t + 5. Is (-279)/(-15) + l/5 a multiple of 10?
False
Suppose 3*u + 2*q = -36, 2*u + 28 = -2*u + 4*q. Let x = -16 + u. Let t = -9 - x. Does 11 divide t?
False
Suppose 0 = -c + 6*c - 3*i - 183, 3*c - 110 = 2*i. Is c a multiple of 8?
False
Let m(o) be the second derivative of -o**3/2 - o**2/2 + 2*o. Does 4 divide m(-3)?
True
Suppose m - 3*d - 67 = 0, -m + 73 = d - 2*d. Is 14 a factor of m?
False
Suppose l - 16 = 21. Is l a multiple of 19?
False
Let n(r) = r**2 + r + 4. Suppose -6*d = 3*p - d - 19, -3*p - d + 11 = 0. Suppose 2*m + 0*m + 4*j - 6 = 0, p*m = 4*j - 21. Is n(m) a multiple of 5?
True
Let w = 123 + -86. Is 3 a factor of w?
False
Suppose 0 = 4*x - 25 - 343. Suppose -31 = -o + t, -3*o + 3*t = -t - x. Does 14 divide o?
False
Suppose 6*w - 9 + 3 = 0. Does 14 divide w + -2 + (46 - 3)?
True
Let c be (-4 + 3 - 1) + -8. Let n be ((-18)/c)/(-3)*-5. Let p = 7 + n. Does 10 divide p?
True
Let f = 22 - 9. Does 13 divide f?
True
Suppose 5*g - 4*x = -6, 5*g + 10 = 2*g + 4*x. Suppose 0*f = -2*f + 2, 39 = g*w + 3*f. Is 7 a factor of w?
False
Let c be 10 + -11 - (-92)/2. Let x = c - 26. Does 6 divide x?
False
Suppose 5*z - f - 9 = 0, -2*z + 0*f + 6 = 2*f. Let g be ((-13)/6)/(7/(-42)). Suppose -3*l - g = -z*t, -l = -3*t + t + 23. Is 11 a factor of t?
False
Let d(l) = 24*l + 2. Let w(z) = 24*z + 2. Let y(c) = -4*d(c) + 5*w(c). Does 13 divide y(1)?
True
Let w(p) = -p**2 - 3*p. Suppose -v = -7 + 10. Let n be w(v). Suppose -5*s + n*k + 5*k = -80, 0 = -3*s + 2*k + 50. Does 9 divide s?
True
Let t(h) = h**2 - 3. Let d be t(-3). Let y(x) = -x**3 + 6*x**2 - 8. Let q be y(d). Is (-111)/(-4) - 2/q a multiple of 14?
True
Suppose -4*y = 0, -13 - 7 = -4*u + 3*y. Suppose 3*w = u*b - 49, 27 = 5*w - b + 138. Let c = w - -46. Is 23 a factor of c?
True
Suppose -7 + 2 = -4*k + m, -5*m - 25 = -5*k. Let a = 12 + k. Is a a multiple of 4?
True
Let m(c) = -c**2 + 3. Let r be m(0). Suppose -4*h - 4 + 22 = 2*i, -h + 1 = -r*i. Suppose h*p + 0*p - 156 = 0. Does 10 divide p?
False
Suppose -q + 19 + 7 = 0. Let x = 30 - -7. Let g = x - q. Is g a multiple of 7?
False
Suppose -5*r + 2*r + 18 = 0. Does 6 divide r/(3 + (-26)/10)?
False
Let i = -64 - -84. Is 4 a factor of i?
True
Suppose 3*o + 3*k = 12, 0*k - 4*k = -2*o - 4. Suppose -4*x + o = -26. Does 2 divide x?
False
Suppose 2*i + s = -3, 0*i = -i - 3*s - 9. Suppose 0*p - p + 66 = i. Suppose h = -h + p. Is h a multiple of 12?
False
Let t(b) = 28*b + 12. Does 12 divide t(6)?
True
Let o be 87/12 + (-1)/4. Suppose -o*u + 5*u + 36 = 0. Does 9 divide u?
True
Let c = -3 - -19. Suppose 31 = -4*i - 13. Let r = c + i. Does 2 divide r?
False
Let n = 57 - 20. Let j = -6 + n. Is j a multiple of 24?
False
Let i = -85 - -61. Does 12 divide 1/((-2)/i*1)?
True
Let b = -5 + 7. Suppose b*g + 3*g - 185 = 0. Suppose -132 = -5*p - g. Is p a multiple of 11?
False
Suppose -4*f - 2*b = -380, 2*b + 79 = 4*f - 293. Is 20 a factor of f?
False
Suppose 0*m = -4*f - 3*m - 3, 5*f + 2 = -2*m. Suppose -16 = -5*k + 29. Suppose f*n + n = k. Does 9 divide n?
True
Suppose -2*a + 5 = -5*k + 36, 4*k - a - 23 = 0. Let u(z) = -2*z**3 - 6*z**2. Let f be u(-4). Suppose j = k*j - f. Is j a multiple of 8?
True
Suppose 3*n = 4*l - 0*l + 59, 2*l = -n + 13. Suppose 2*s + n = 3*p, -s + 7 = s + 5*p. Let o = 4 - s. Is 4 a factor of o?
True
Suppose 2*a - 3095 = 3*i - 0*i, 2*i - 7785 = -5*a. Suppose -5*d = 5*g + a, -4*d - 2*g - 3*g = 1246. Is d/(-12) + 4/16 a multiple of 17?
False
Let f be 1 + 39 - 0/(-1). Suppose -2*l + 85 = -5*x, 4*l - 175 + f = 3*x. Does 10 divide l?
True
Suppose -3*f = -0*f. Does 13 divide -1 - (1 - f - 46)?
False
Suppose -7*c + 44 + 26 = 0. Is 10 a factor of c?
True
Suppose g = p + 94, -2*g - 3*p + 160 = 2*p. Is 9 a factor of g?
True
Let u be (2/(-2))/(6/(-18)). Suppose 3*k - 14 = u*z - z, z + 1 = 0. Suppose k*f - h = h + 202, 0 = 4*f + 4*h - 196. Does 17 divide f?
False
Let z(n) = 5*n**2 - 5*n - 8. Let y(r) = -11*
|
{
"pile_set_name": "DM Mathematics"
}
|
395, -8502402, -8502409, -8502416, -8502423?
-8502430
What is next in 126, 111, 46, -69, -234, -449, -714?
-1029
What is the next term in -994, -5201, -12634, -23305, -37226, -54409, -74866, -98609?
-125650
What comes next: -203605, -202192, -200779?
-199366
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37990316
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18220024
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24846
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338632
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3544246
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697859
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-73256
What is next in -781, -310, 163, 638, 1115?
1594
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29660
What is the next term in 1237, 2925, 5811, 9955, 15417, 22257?
30535
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-22608067
What is the next term in 1841, 3995, 6143, 8297, 10469?
12671
What is next in -7468, -7575, -7678, -7777, -7872, -7963, -8050?
-8133
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7363
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192816
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1802179
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-231036
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3294079
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5890771
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4451134
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303165
What is the next term in 5508, 4991, 4128, 2919, 1364?
-537
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87865
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894209
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-580238316
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311965
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6199
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-8079819
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442967442
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-16177
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60227
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-9747
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232174
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-38698
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-23343
What is next in 4039, 4048, 4083, 4138, 4207?
4284
What is the next term in -4603103, -9206212, -13809319, -18412424, -23015527, -27618628?
-32221727
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-60249215
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-1358
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-25825
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-5500733334
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10309
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283745
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-39895479
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34276642
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-256661
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-10651
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59037
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60177652
What is next in -19405, -19182, -18719, -18016?
-17073
What is the next term in 94308, 94688, 95302, 96138, 97184, 98428, 99858, 101462?
103228
What is next in -1668229, -3336459, -5004691, -6672925, -8341161, -10009399?
-11677639
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-19245
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1356
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-26976
What is the next term in -13747, -28285, -42833, -57391, -71959?
-86537
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542789
What is the next term in 177101, 177146, 177191, 177224, 177233, 177206?
177131
What is the next term in -289, -405, -621, -937, -1353?
-1869
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-975852
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22458
What is next in -3004449, -3004432, -3004419, -3004410, -3004405?
-3004404
What is the next term in -48367, -194383, -437743, -778447?
-1216495
What comes next: 13333, 14235, 15137, 16039, 16941?
17843
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-440300
What is the next term in 105588, 108568, 111548, 114528, 117508, 120488?
123468
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-53833
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29177
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150924
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-2024090
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15020
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1412853
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-13125
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9641
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541524
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-80330789
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477865
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-1616178
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16675535
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-557499263
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10483
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-13671
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-307445
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-5320827
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10324
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-81316
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-28240
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21394
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41471
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-121412537
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-373499
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1322476
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3265647
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-22669863
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-153335
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-207695
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8413
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-199488
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-1385383
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40447
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6696544
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-73009
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6073525
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15783
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-46630371
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17270453
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-706118167
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-3235298
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-724995
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-7428728063
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-9629
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56531166
What is the next term in -1062897, -1062889, -1062879, -1062867, -1062853, -1062837,
|
{
"pile_set_name": "DM Mathematics"
}
|
0*o + 155. Let i(y) = -5*y - 77. Let c(t) = 2*b(t) + 5*i(t). Let h be c(-15). What is the closest to -0.04 in 0.5, -1/2, h?
h
Let i = -9511.8 + 9513. Which is the nearest to i? (a) 2/7 (b) 4 (c) 0.1
a
Let v(c) = -121*c - 58. Let i be v(2). Let s = i + 904/3. Let f = -0.3 - 0.2. What is the nearest to 1 in -1/4, f, s?
s
Suppose -5*b + 60 = 5*i, -4*b = 5*i + 185 - 243. Let g = -52 - -207/4. What is the nearest to g in 0.4, i, 3?
0.4
Let m = -0.11566 + 0.21566. Which is the closest to -2? (a) 6/11 (b) 0.4 (c) m (d) 5
c
Let h = 7379 + -7374. What is the nearest to -1 in h, -3, 6?
-3
Let l = -1.5 + 1.4. Let a = -0.1 - l. Let y = 177.2 + -177. What is the nearest to a in y, 3/5, 1/4?
y
Let p = 17 - 16.7. Let o = 4.1 - 4.1. Which is the nearest to 0.14? (a) p (b) 1/2 (c) o
c
Let f(u) = -6*u**3 + u**2 + 304*u + 16. Let y be f(-7). Which is the closest to 2? (a) -1/7 (b) y (c) 0.5 (d) -12
c
Let s be (-1056)/(-272) + 6/51. Suppose -3*o = -4*u + s + 15, -4*u + 16 = 0. Which is the closest to 0.13? (a) 1 (b) o (c) -3
a
Suppose -25 = t - 14. Let d = t + 13. What is the closest to -1 in -0.3, d, -5?
-0.3
Let g = -0.8271 + 1.1271. Let z be 2/6*(2 + -1). Let l be (12/(-4) - -1)/(-2) - 1. What is the nearest to z in 2/9, g, l?
g
Suppose -113*v = -336 - 229. What is the nearest to 5 in 6/7, 3, v, -2/3?
v
Let z(m) = -m**3 + 11*m**2 - 3. Let l be z(11). Let r = 46 - 51. Let k be 1/r - (-30)/(-350). Which is the closest to l? (a) k (b) 1/4 (c) 2
a
Suppose -6*t + 556 + 134 = 0. Let i be -1*(-4)/10*t/(-92). Let o(h) = 3*h - 3. Let k be o(2). What is the closest to k in -3, -1, i?
i
Let j = -39 + 116/3. Let a = 31.9 - 30.9. What is the closest to 0 in a, j, -2?
j
Let n = -9850 - -9846. What is the closest to -2/7 in n, 29, -3, 2/7?
2/7
Let m = -728 + 727.697. Let a = m - -0.103. What is the closest to 0.2 in a, 0.5, -0.3?
0.5
Let b = -47.5 - -39. Let s = 8 + b. Let l = 933 + -938. What is the nearest to 0 in -4/5, l, s?
s
Let o be 15/4 - (30 + -25). Which is the closest to 0.5? (a) 2/7 (b) 0 (c) o
a
Let r be (22/2244*68)/(-1 + 17/15). What is the nearest to 0 in r, -10, -0.04, -1/2?
-0.04
Let y = 24937.17 + -24937. Let b = -3 + 2.8. What is the closest to -2/7 in y, -0.4, b?
b
Let s = 74/135 - 988/2295. Suppose -l + 5*i + 15 = 0, 3*i + 9 = -3*l - 0. Let m = -2.9 + 3. What is the closest to m in s, 2, l?
s
Let n = 0.012 + 0.988. Let c = n + -6. Let u = 4/53 + 253/159. What is the nearest to 0.3 in 1, u, c?
1
Let g = -5.2 + 1.2. Let r = -1.142 + 0.122. Let q = r + 1.52. What is the nearest to q in 1, 0.3, g?
0.3
Suppose 4*d - 5 = -3*w, -5*w = 5*d - 5 - 5. Let y = -2/857 - -1720/2571. Which is the nearest to d? (a) y (b) 2/9 (c) 1
b
Let p = -3477 - -3494. Let x = -0.006 - 2.994. Which is the nearest to -1/2? (a) x (b) 1 (c) p (d) -4
b
Let m = -0.3 + 1.3. Let c = 26251 + -103535/4. Let a = c - 368. What is the nearest to 1/4 in a, m, -0.4?
-0.4
Let x(i) = -3*i + 5. Let m(n) = 4*n - 7. Let h(w) = -5*m(w) - 7*x(w). Let v be h(-5). Let k = 3.354 - 3.054. What is the closest to 2 in k, 4, v?
k
Let d be (-8)/(-28) + (-38)/35. Suppose 2*l + 3 = -n, 5 = 84*n - 83*n. Which is the closest to 4? (a) d (b) l (c) 0.3
c
Let c = -4.1 + 4. Suppose 103*b + 0 + 0 = 151*b. What is the closest to -0.1 in b, -5, c, 2/21?
c
Let j be 0 - (-1 + -3) - 0. Suppose -r - j*b + 18 = 0, 23 = r + 3*b + 2*b. Let z = 5.2211 + -4.2211. What is the closest to r in z, -3, -4?
-3
Let z = 101.1 + -101. Which is the nearest to 6? (a) 2/3 (b) z (c) -3
a
Let s = 9.23 - 12.23. Which is the nearest to -1/4? (a) 0 (b) s (c) 3/7 (d) 0.009
a
Let n = 83/182 + -61/91. Which is the closest to -2? (a) -2/7 (b) n (c) 0.1 (d) -0.048
a
Let x = 472.9 - -64.1. Let p = -536.95 + x. Which is the closest to -7? (a) -1 (b) 0 (c) p
a
Let l = -929/2 - -465. Let v = -0.0442 + 0.4442. Which is the nearest to l? (a) -17 (b) 0 (c) v (d) -3
c
Let m = -8637 + 8632. Which is the closest to -0.2? (a) -2/3 (b) 0.5 (c) -3.8 (d) m
a
Let y = 855.3 + -855.7. Which is the closest to y? (a) -2 (b) -4 (c) 0.05 (d) -0.3
d
Let n = 2/43 - 108/473. Let x = -7 + 3. Let d = 1.54297 + 0.05703. Which is the nearest to -1/2? (a) n (b) x (c) d
a
Let u = 5975.99 - 6016. Let t = 40 + u. Let j = 0.19 - t. What is the nearest to -0.1 in -16, 1, j?
j
Let h = 4831/10 + -26333/30. Let o = h + 396. Which is the nearest to 0? (a) 1 (b) 3/2 (c) 4 (d) o
a
Suppose 0 = 2*j - b + 37, -2*b + 8 = 5*j + 96. Let y be j/15*5 + 12. What is the nearest to -2/5 in -5, -3, y?
-3
Let h = 259/633 - 16/211. Which is the closest to h? (a) -19 (b) 0.2 (c) -2/11
b
Let z = -147 - -146.92. Let r = -884 - -6184/7. What is the closest to -1 in z, r, 2/3?
r
Let r be (1/1)/((30/12114)/1). Let f = -404 + r. What is the nearest to -1 in -0.5, -13, 0.04, f?
-0.5
Let i = -98 + 96. Let a be 11/66 - -71*(-3)/i. Let z = a + -106. What is the closest to z in -0.5, -1, 0.02?
0.02
Let q = -19611 + 19608. What is the closest to -0.3 in q, 7/5, -0.5, -5?
-0.5
Let t be 33/88*(-5)/(-15). What is the closest to -1/4 in 0.3, -1, 29, t?
t
Let x = 83/51 - -2/51. Let k be 100/1075*(1 - 2). What is the closest to 0 in x, k, 0.4?
k
Let n = -1584 + 1583. What is the nearest to n in 5, -60, 0.3, 4?
0.3
Let i = 40500.5 - 40501. Let p = 4 - 2. What is the closest to p in 0, i, 2?
2
Let z = -29.2 - -62.4. Let v = z - 33.1. Which is the nearest to v? (a) 6/5 (b) -0.3 (c) 2/7
c
Let f = -5.2447 + 2.2447. Let s = 20.24 + -0.24. Which is the nearest to s? (a) -0.5 (b) 0.2 (c) f
b
Let i = -1.416 - -0.44. Let r = -0.7 - -0.724. Let m = i - r. Which is the nearest to m? (a) -1/5 (b) 2 (c) 1
a
Let a be (-8)/(-3)*(-21)/(-28). Suppose 0 = -c + 4*c - a*r - 7, 5 = -r. What is the closest to c in 0.04, 0, 2/11?
0
Let x(m) = -2*m**3 - m**2 - 68*m - 68. Let k be x(-1). What is the closest to k in 0.3, 4, 123?
0.3
Let m = 37132 + -37132.5. What is the nearest to 5/7 in 0.09, m, 3?
0.09
Let n(l) = -l**3 + 23*l**2 + 79*l - 35. Let h be n(26). What is the closest to -0.064 in -5, 0.3, h, 4?
0.3
Suppose 138 + 122 = 20*o. Let t be 7/3 + (o - 18). Which is the nearest to 1/2? (a) t (b) 4 (c) 2/5
c
Let q = -505.28 - -505.5. Suppose 4 = -5*n + 3*i - 11, 0 = 2*n + 4*i - 20. What is the closest to 1 in n, 4, q?
q
Let t = -544 + 543.8. Which is the closest to 2/3? (a) t (b) -1 (c) -0.4
a
Let b = -10 + 7. Let t be (63/36)/((-2079)/(-264)). Let o = -0.12 - 0.58. What is the nearest to o in -4, t, b?
t
Let g = 393475 - 393474.8. Let u = -0.7 + 0.4. Which is the nearest to g? (a) u (b) 3/2 (c) -4
a
Let f = 29345.99 + -29346. What is the closest to 1/5 in -0.06, f, 1, -2/5?
f
Let x(n) = -18*n - 113. Let m be x(-6). Let q be (-32)/(-1 + -3) + m. Which is the closest to -1/4? (a) 5 (b) 1 (c) 0.2 (d) q
c
Let t = 2846 + -2916. What is the nearest to t in -6, 0.2, -5, -0.5?
-6
Let f = 12941 + -12941. Suppose 4*u - 4*j - 12 = 0, 5*u + 0 = -j + 27. Let w = -2 + u. What is the nearest to -1 in f, -1/3, w?
-1/3
Let j = 236 + -241. Which is the closest to 1/3? (a) -11 (b) j (c) -22
b
Let h be (315/114)/(-7) + (-6)/57. What is the closest to h in 26, 4, -3?
-3
Let v = 0.032 + -1.132. Let g = v + 6.1. Suppose 2*r - 6*r = 16. What is the closest to 2/5 in g, -0.2, r?
-0.2
Let x = -1259 + 1260. Let q(n) = -n**3 - 7*n**2 + 9*n - 7. Let o be (2/3)/(1/(-12)). Let y be q(o). Which is the nearest to -1? (a) x (b) y (c) 0.5
c
Let r(y) = -43*y + 17*y + 31*y - 52. Let d be r(11). What is the closest to 3/10 in 0.4, -1/3, d?
0.4
Let o = 2.98208 - -0.01792. What is the closest to -0.1 in 0.0462, o, -5?
0.0462
Suppose 27*q = -59 - 22. Suppose -7*y + 211 = 246. Which is the nearest to q? (a) 3 (b) 1/4 (c) -0.06 (d) y
d
Let r = 1/1671 + 45089/46788. Let p = r - 977/84. Let a = -34/3 - p. What is the closest to 2/3 in a, 1/6, 3?
1/6
Let t(k) = -k - 13. Let x be t(-10). Let p be (-1)/2*10/x. Let b = 0.427 + -0.927. What is the closest to 0.03 in b, p, -2?
b
Let r = 0.1 - 0.2. Let u be ((-126)/74)/(-3)*(-1332)/259. Let d = u - -614/185. Which is the closest to d? (a) 8/5 (b) 5 (c) r
c
Let j = 25526 - 25525.7. Let y = 2.03 - 0.03. What is the closest to j in -1, -4, y?
-1
Let z = 62 - 437/7. Let v = -18 - -22. Let d = 0.074 + 0.026. What is the nearest to 3/2 in v, z, d?
|
{
"pile_set_name": "DM Mathematics"
}
|
by (21/(-6))/(((-7)/4)/7)?
12
Let t(j) = 2*j**3 + j**2 - 4*j + 3. Let k be t(2). Calculate the remainder when 1/(-2) + k/2 is divided by 75/27 + 8/36.
1
What is the remainder when 1 + 4 + -9 + 105 is divided by 34?
33
Let c(y) = -y**3 - 5*y**2 - 7*y - 6. Let r = 0 + 3. Let n be 0 + (0 - 1) - r. What is the remainder when c(n) is divided by 4?
2
Calculate the remainder when 29 is divided by 82/8 - (-2)/(-8).
9
Suppose -4*q + 8 = -0*q. Let p be (-4)/2 + q + 0. Suppose p = 2*i - 5*a - 54, -i - 4*a = -2*a - 36. What is the remainder when i is divided by 17?
15
Let f(s) = -s**3 - 3*s**2 - s + 4. Let a = 35 + -20. Suppose -a = 2*z - 7. What is the remainder when f(z) is divided by 13?
11
Let t be -6 + 3 + 3/1. Suppose t = -5*q + 3*q + 86. What is the remainder when q is divided by 11?
10
Let z = -13 - -17. What is the remainder when 7 is divided by z?
3
Let w = -59 + 68. Suppose -25 = -5*j - 0*o - 5*o, -14 = -2*j + 2*o. Calculate the remainder when w is divided by j.
3
Let y = 303 + -163. What is the remainder when y is divided by 18?
14
Let y = 437 - 829. Let h = -273 - y. Calculate the remainder when h is divided by 30.
29
Let m(j) = -4*j - 2. Let r be m(-1). Suppose -6 = -3*h + 6. Suppose -2*w + 38 = h*f, r*f - f - w - 2 = 0. Calculate the remainder when f is divided by 4.
3
Let l(d) = 1. Let p(i) = 4*i - 3. Let o(c) = 3*c - 3. Let r(g) = 3*o(g) - 2*p(g). Let t(q) = 4*l(q) - r(q). What is the remainder when 13 is divided by t(0)?
6
Suppose 4*p - 12 = -4*r, -4*r - 5*p - 3 = -10. Calculate the remainder when 37 is divided by r.
5
Suppose -1 = -k + 12. Calculate the remainder when 153 is divided by k.
10
Suppose -3*p = p - 76. Calculate the remainder when 0 - 2 - (-8 - 30) is divided by p.
17
Let o be 70/21 + (-2)/6. Suppose 2*h - o*h - 10 = 0. What is the remainder when (-6)/15 + (-404)/h is divided by 14?
12
Let f(h) be the first derivative of -2*h**2 - 6*h - 1. What is the remainder when f(-10) is divided by 12?
10
Let z(g) = -5*g - 1. What is the remainder when 26 is divided by z(-2)?
8
Suppose -5*f - l + 55 = -24, -5*l + 5 = -f. What is the remainder when 87 is divided by f?
12
Suppose -l + 2*x = -14, 3*l - 53 = -5*x - 0*x. What is the remainder when 57 is divided by l?
9
Let n = 1 + -1. Let b(o) = o + 0 + n + 6*o. Calculate the remainder when 26 is divided by b(2).
12
Suppose 0 = -9*a + 4*a + 15. Calculate the remainder when 7 is divided by a.
1
Suppose 5*d = 3*v + 107, -5*d + 89 = -4*v - 22. Suppose -28 = -3*z - 2*t, -z - t = 2*t - 7. Suppose 0*b - z = -b. What is the remainder when d is divided by b?
9
Let l(y) = y**2 - y + 3. Suppose 3*i = 3*b - 18, -i = 4*i + 15. Let t = b + 5. Calculate the remainder when l(-3) is divided by t.
7
Let x = 348 - 222. Calculate the remainder when x is divided by 32.
30
Let c(x) = x**2 + 11*x + 18. What is the remainder when c(-13) is divided by 15?
14
Let c = -263 + 458. Calculate the remainder when c is divided by 28.
27
Suppose 3*d = l + 17, -5*d + 0 = 3*l - 5. Suppose d*u - 6 = 2. Calculate the remainder when u is divided by 2.
0
Suppose -2*b - 6 = -3*j + 59, 0 = 3*j - 3*b - 69. Let h be 4*(-1 - j/(-2)). What is the remainder when h/3 - (-2)/(-6) is divided by 4?
3
Let f(t) = t**2 - 3*t - 8. Let j = -146 + 219. Suppose 17 + j = 5*b. What is the remainder when b is divided by f(6)?
8
Suppose -4*v - 9 = -29. Let u(q) = q**2 - 3*q + 2. What is the remainder when u(5) is divided by v?
2
Suppose -2*t + i + i = -54, -4*i = -5*t + 140. Calculate the remainder when t is divided by (-4)/(-18) - (3 - (-356)/(-18)).
15
Let z = -17 + 19. What is the remainder when 13 is divided by z?
1
Let p be (-3)/3 - (3 - 9). Suppose 13 = -p*w + 6*w. What is the remainder when 64 is divided by w?
12
Let f(d) = d**3 - 15*d**2 + 2*d - 4. Let o = 18 - 3. What is the remainder when 75 is divided by f(o)?
23
Suppose -2 = 5*c + 3. Let a be 3/(-1) + 302 + c. Suppose y + 2*b = 61, -5*y - b - 2*b = -a. Calculate the remainder when y is divided by 12.
11
Suppose -74 = -5*g + 11. What is the remainder when g is divided by 10?
7
Let w(f) = -3*f**3 - f - 1. Let t = -3 + 2. Let h be w(t). Suppose -h*c - 3*a + 75 - 21 = 0, 5*a = 4*c - 90. Calculate the remainder when 58 is divided by c.
18
Suppose 3*w = w + 4. Calculate the remainder when 14 is divided by (-2 + (11 - -1))/w.
4
Let n be (4/3)/(2/3). Let k = -25 + 39. Calculate the remainder when n/((-12)/39)*-4 is divided by k.
12
Let x be 1 - (0 - (0 + -1)). What is the remainder when 8 is divided by x + 1 + 12/3?
3
Let a(l) = 2*l**2 + 7*l + 9. Calculate the remainder when a(-6) is divided by 10.
9
Suppose -j - 6 = -51. Calculate the remainder when j is divided by 25.
20
Suppose -4*v = -3*z - 217, v = -0*v + 3*z + 43. Suppose 0 = n - 4 - 16. What is the remainder when v is divided by n?
18
Suppose 12 = -0*k - 4*k. Let z be (-10)/(-15) + (-7)/k. What is the remainder when 4 is divided by z/(-2)*(0 - 2)?
1
Suppose r + q = 79, 364 + 49 = 5*r - q. What is the remainder when r is divided by 28?
26
Let a = 223 + -134. Calculate the remainder when a is divided by 24.
17
Let a = -3 + 6. Let x(f) = 0*f**a + f**3 + 7 + 0 + f**2. What is the remainder when 12 is divided by x(0)?
5
Let u(i) = i**2 + i. Let a be u(0). Let j(b) = b**3 + b + 22. Let s be j(a). Let x = s - 4. What is the remainder when 35 is divided by x?
17
What is the remainder when 76 is divided by (4/(-1 - 3))/(2/(-26))?
11
Suppose -3*w = 5 - 104. What is the remainder when w is divided by 17?
16
Suppose 0 = 2*h - 6 - 62. What is the remainder when h is divided by 9?
7
Let k(s) = s**3 - 16*s**2 + 27*s + 23. What is the remainder when 23 is divided by k(14)?
5
Let k = 29 - 9. What is the remainder when k is divided by 7?
6
Let l = 26 + -1. Calculate the remainder when l is divided by 7.
4
What is the remainder when 2/(-6) + 536/24 is divided by 6?
4
Suppose 0*g - 5*g + 3120 = 0. Suppose 4 + g = 4*s. Suppose f + 99 = -y + 4*y, -5*y + s = f. What is the remainder when y is divided by 17?
15
Suppose k - 13 = 3*o, -k - 65 = -6*k - 3*o. What is the remainder when k is divided by 5?
3
Suppose 12 = 4*t - 0*t. Suppose -b + 0*b - 22 = -d, -d = t*b - 22. What is the remainder when (d/(-3))/(1/(-3)) is divided by 8?
6
Let n(k) = 4*k - 4. What is the remainder when 98 is divided by n(6)?
18
Let a = 64 + -33. Calculate the remainder when a is divided by 11.
9
Let z(w) = -w**3 + 5*w**2 + 9*w - 9. Suppose 2*j - 29 = -s + 6*s, -15 = 3*s - 2*j. Let m = 13 + s. What is the remainder when z(m) is divided by 5?
4
Suppose 2*o + 0*t = -t - 51, 3*t - 3 = 0. Let v = 0 - 3. Calculate the remainder when 37 is divided by v/6*o*1.
11
Let b = 12 - 6. Suppose 104 + b = 2*y. What is the remainder when y is divided by 19?
17
Suppose 2*f = -0 - 12. Suppose 2*b + 7 + 7 = 2*x, 0 = 4*b - 16. Calculate the remainder when (6/5)/(f/(-160)) is divided by x.
10
Let r(p) = -p**2 - 15*p - 9. Calculate the remainder when 49 is divided by r(-13).
15
Suppose 6*f - 8 = 2*f. What is the remainder when 13 is divided by 10/f*(1 - 0)?
3
Let f = 3 - 5. What is the remainder when 1/(-2)*f*25 is divided by (-4 + 1)/((-3)/9)?
7
Let b = 56 + -50. Suppose 29 = -5*k + 69. Suppose -2*p + k = -0*p. What is the remainder when b is divided by p?
2
Let d be -2 - (101 - (-6 + 3)). Let o = -27 - d. Calculate the remainder when o is divided by 20.
19
Let z(s) = s + 14. Let r be z(-12). What is the remainder when 27 is divided by r/7 - 141/(-21)?
6
Let s = 0 - 0. Let p = 3 + s. Suppose -38 = -p*i - 4*a + 20, 3*a - 21 = -i. What is the remainder when i is divided by 10?
8
Suppose 0 = 4*w - 3*d - 64, -18 = 5*d + 2. Calculate the remainder when 62 is divided by w.
10
Let d(m) = -9*m - 43. Calculate the remainder when d(-11) is divided by (1 + 2)*29/3.
27
Let s be (-76)/(-18) - (-6)/(-27). Calculate the remainder when (2 - -46)/(-3 + s) is divided by 25.
23
Suppose 0*j = 4*j. Suppose -3*a = j, a = d - a - 26. What is the remainder when 576/d - (-4)/(-26) is divided by 8?
6
Suppose 0 = -4*v + 5*o + 178, 4*v + 4*o - 76 = 2*v. Calculate the remainder when 20 is divided by (2/4)/(3/v).
6
Suppose 4*t = 4*o + 216, 3*o = 2*t - 136 + 31. What is the remainder when t is divided by 12?
9
Calculate the remainder when 2 - (3/3 - 64) is divided by 17.
14
Let v(p) = p**3 - 4*p**2 + p + 2. Let a be v(3). Let n(m) = -m**
|
{
"pile_set_name": "DM Mathematics"
}
|
913*o**2 + 396105101 wrt o.
4*o**3 - 12*o**2 + 29635826*o
Differentiate -88121257*s**4 + 47078067.
-352485028*s**3
Differentiate 14538372*b**2 + 4958364.
29076744*b
What is the third derivative of 25280963*x**3 - 412045*x**2?
151685778
What is the second derivative of 27*v**4 + 2284443*v**3 + 608296023*v?
324*v**2 + 13706658*v
What is the first derivative of 19213648*p - 996372457 wrt p?
19213648
What is the second derivative of 5967841*i**3 + 167573364*i wrt i?
35807046*i
Find the third derivative of -2*a**6 - 3648*a**4 + 975*a**3 + 101133015*a**2 wrt a.
-240*a**3 - 87552*a + 5850
What is the third derivative of 4*b*q**6 + 27206219*b*q**4 + 214*b*q**2 - 10*b*q - 56*b - 5*q**2 - 12 wrt q?
480*b*q**3 + 652949256*b*q
Find the third derivative of 528181059*u**6 - 863114*u**2 + 122*u.
63381727080*u**3
What is the first derivative of -37*g*s**2 - g*s - 202968*g + 3427*s**2 - 100204 wrt g?
-37*s**2 - s - 202968
Differentiate 18*j**2*z**3 - 650042*j**2*z**2 - 5921*j**2 - 631 with respect to z.
54*j**2*z**2 - 1300084*j**2*z
What is the third derivative of 2694635*x**3 - 6807901*x**2 wrt x?
16167810
Find the second derivative of -10442721*a**4 - 144078*a + 13.
-125312652*a**2
What is the second derivative of 51*p**3 - 24157*p**2 + 7447*p + 558 wrt p?
306*p - 48314
What is the third derivative of 55473*f**2*k**5 + 144*f**2*k**3 - f**2*k**2 + 2201*f**2*k + 6*f*k**2 - 203*k wrt k?
3328380*f**2*k**2 + 864*f**2
Find the second derivative of 13912767*k**3 + 34715293*k.
83476602*k
Find the second derivative of -76689470*v**4 - 153743257*v wrt v.
-920273640*v**2
What is the second derivative of -39292188*r**2 + 61583020*r?
-78584376
What is the third derivative of -2313*x**4 + 35058*x**3 + 59886252*x**2?
-55512*x + 210348
Find the second derivative of 273724041*q**2 - 160295079*q wrt q.
547448082
Find the third derivative of -1412056*h*y**5 - 10*h*y**2 - h*y + 306*h + 2*y**4 + 39*y**2 + y wrt y.
-84723360*h*y**2 + 48*y
Find the first derivative of 5789532*a**2*r - 60271*a**2 - 87*a - 2*r wrt r.
5789532*a**2 - 2
Differentiate -233576861*h - 298741532.
-233576861
What is the third derivative of 84*c*l**3*x - 26*c*l**2*x - 2*c*l**2 + 14*c*l*x - 2*c*l + c*x - 8*l**3*x + 25882*l**3 + 2*l*x - 506*l wrt l?
504*c*x - 48*x + 155292
What is the derivative of -147605*n**3 - 4*n + 85612368?
-442815*n**2 - 4
What is the second derivative of 8514192*c**3 + 769054*c - 1 wrt c?
51085152*c
Find the second derivative of -538*p**2*q**2 - p**2*q + 312426*p**2 + 6*p*q**2 - 2*p*q + p + 2227*q**2 + 78*q - 2 wrt p.
-1076*q**2 - 2*q + 624852
What is the first derivative of 1474453*b*z**2 + 187*z**2 - 4976 wrt b?
1474453*z**2
What is the third derivative of -43*m**4*y**2 - 756*m**4*y - 18*m**3 - 2*m**2*y + 2*m*y**2 - 1054580*m*y wrt m?
-1032*m*y**2 - 18144*m*y - 108
What is the third derivative of 13009534*b**3 - 41937425*b**2?
78057204
Find the first derivative of 51169363*i + 44240560.
51169363
Find the third derivative of 470*d*l**4 - d*l**3 - 7*d*l**2 + 2*d*l + 8*d + 1324*l**4 + 6*l**2 - 7405*l wrt l.
11280*d*l - 6*d + 31776*l
What is the derivative of -238151600*t**3 - 448225381 wrt t?
-714454800*t**2
Differentiate 22*h**4 - 3*h**3 + 24*h**2 - 3496*h - 65602527.
88*h**3 - 9*h**2 + 48*h - 3496
What is the second derivative of 865459*d**3 - 12*d**2 - 76*d + 620358 wrt d?
5192754*d - 24
Differentiate 2*f**2*t - 6305*f**2 - 2987069*f*t + 14*f + 7 wrt t.
2*f**2 - 2987069*f
Find the third derivative of -1291511*g**2*r**3*w**3 - 22785*g**2*r**3 + 50*g**2*w**3 - 4*g*r**2*w - r**3 + 3*r**2*w**2 wrt w.
-7749066*g**2*r**3 + 300*g**2
What is the third derivative of -36*c**3*r - 919859*c**3 + 5*c**2*r + c**2 - 5*c*r - 68910*r - 24 wrt c?
-216*r - 5519154
What is the second derivative of -78610216*m**5 + 132575267*m?
-1572204320*m**3
What is the first derivative of 34415802*n**3 - 680403651 wrt n?
103247406*n**2
What is the derivative of -3852251*c**3*z - 1268*c**3 - 18*c**2 - c - 1 wrt z?
-3852251*c**3
Differentiate 240662*k*n*q + 12*k*n - 15*k*q + 3*k + 16956 wrt q.
240662*k*n - 15*k
Find the second derivative of -149*m*p**2*y**2 + 16971*m*p**2*y - m*p*y**2 - 2*m*p*y - m*y - 18295*p*y**2 - 2*y wrt p.
-298*m*y**2 + 33942*m*y
Find the third derivative of 31249*f**2*y**3 - 2*f**2*y + 5*f**2 - 698*f*y**3 - 106*f*y**2 + f*y + 2*f - 555*y wrt y.
187494*f**2 - 4188*f
Differentiate 66*r**2*y + 275*r**2 + 2*r*y - 709*r + 216873867*y wrt r.
132*r*y + 550*r + 2*y - 709
Find the third derivative of 151*a**3*d**2*i - 363306*a**3*d*i**2 - 6*a**2*d*i - 46*a**2 - 9*a*i - 2*d**2*i**2 - 947*d**2*i wrt a.
906*d**2*i - 2179836*d*i**2
Find the third derivative of -97882*c**3*t - 69*c**3 - 6*c**2*t - 2*c**2 + 1094*c*t - 458 wrt c.
-587292*t - 414
What is the derivative of -11659234*x**2 + 38865204 wrt x?
-23318468*x
What is the second derivative of 5918*a**3*p**2 + 287*a**3*p + 23*a**2*p + 6594*a*p**2 - a*p - 49*a + 2*p**2 + 11 wrt a?
35508*a*p**2 + 1722*a*p + 46*p
Find the second derivative of -61*s*t**5 + 506*s*t**2 - 2*s*t + 13189*s + 92*t**2 + 4936*t wrt t.
-1220*s*t**3 + 1012*s + 184
Find the first derivative of 1992*m*y**3 + 237*m*y**2 - 13*m + y**3 + 4229*y**2 + 327*y wrt m.
1992*y**3 + 237*y**2 - 13
Differentiate -41448133*v**3 + 2*v**2 + v + 48478201 wrt v.
-124344399*v**2 + 4*v + 1
Find the second derivative of -318212765*b**2 + 806684243*b.
-636425530
What is the third derivative of -21*b**3*r**3 + 10*b**3*r - 5*b**3 + 457489*b**2*r**3 - 1855*b*r**2 + 3*r**3 - 48*r**2 wrt r?
-126*b**3 + 2744934*b**2 + 18
Find the second derivative of 156727*h**3 + 107*h**2 + 8*h + 139856.
940362*h + 214
What is the third derivative of -11862931*p**6 + 5*p**2 + 652008?
-1423551720*p**3
Differentiate k**2*p + 67*k**2 + 2343*k*p - k - 776598653*p with respect to k.
2*k*p + 134*k + 2343*p - 1
What is the third derivative of 8688084*i**3 - 161*i**2 - 10*i - 15 wrt i?
52128504
Find the second derivative of -1077*k**4 + 53138*k**3 - 532551913*k wrt k.
-12924*k**2 + 318828*k
What is the third derivative of -3*f**3*r**3*t**3 + f**3*r - 2*f**3 + 2*f**2*r**3*t**2 - 3*f**2*r**2*t + 20792572*r**3*t**3 - 569*r**2*t**2 - r wrt t?
-18*f**3*r**3 + 124755432*r**3
Find the third derivative of 15721842*h*m**3 - 27962449*h + m**2 wrt m.
94331052*h
Differentiate -312617406*b - 314422950 wrt b.
-312617406
What is the third derivative of 4*m**4*p + 222*m**3*p**2 - 4645*m**3*p - 1484325*m**2*p**2 - 6*p**2 wrt m?
96*m*p + 1332*p**2 - 27870*p
What is the third derivative of -608577879*g*v**3 + 34*g*v**2 - 664*g*v - 2*g - 2*v**3 + 2*v**2 + 902*v wrt v?
-3651467274*g - 12
What is the third derivative of 36953693*m**4 + 5788718*m**2 + m - 17?
886888632*m
Find the third derivative of -584*g**3*p - 33767*g**3 + g**2*p + 77*g**2 + 4*g*p - 2*g - 111*p + 10 wrt g.
-3504*p - 202602
Find the third derivative of -3788*n**5 - n**4 - 294*n**3 + 8960422*n**2.
-227280*n**2 - 24*n - 1764
Differentiate -73229*u*z**2 + 519*u*z + 138129900*u + z**2 wrt z.
-146458*u*z + 519*u + 2*z
Find the second derivative of -491852908*f**2*k - 1014597*f*k - 3*f - k + 1 wrt f.
-983705816*k
What is the third derivative of 183932224*o**3 + 23*o**2 + 1811435*o wrt o?
1103593344
What is the second derivative of 48131052*a**2*n**2 + 21*a**2*n + 827901*a*n - 2*n wrt n?
96262104*a**2
Find the second derivative of 188046424*h**2 - 50*h + 43183.
376092848
What is the first derivative of 2050192*m**2*q + 3*m*q**2 + 2*m*q*r + 2*q**2*r - 159*q*r - 23*r + 237 wrt m?
4100384*m*q + 3*q**2 + 2*q*r
Differentiate -5603421*l**3 + 4*l**2 + 110891919.
-16810263*l**2 + 8*l
What is the second derivative of 18129*r**2*z**3 - 355*r**2*z**2 - 2681*r*z**3 + 23*r*z wrt r?
36258*z**3 - 710*z**2
What is the derivative of -3300445*t**2 - 2*t + 348505?
-6600890*t - 2
Differentiate -434862399*p + 636320116 wrt p.
-434862399
Differentiate -17*n*t**3 + n*t**2 - 438459*n*t - 12547485*t**3 wrt n.
-17*t**3 + t**2 - 438459*t
Find the first derivative of 45904*g*o**2 - 1060*g*o - 364621940*g wrt o.
91808*g*o - 1060*g
What is the first derivative of 922525310*u - 130256040?
922525310
Find the first derivative of 389850*k*x**3 - 896*k*x**2 + 788631*x**3 + 40 wrt k.
389850*x**3 - 896*x**2
Find the third derivative of 323492*a*v**5 - 2*a*v**3 - a*v - 2*a - 1041*v**2 + 3*v - 1 wrt v.
19409520*a*v**2 - 12*a
What is the
|
{
"pile_set_name": "DM Mathematics"
}
|
). Suppose 31 + f = 5*s. Is s composite?
True
Let m(q) = 16*q**3 + 3*q - 3. Let k be m(2). Let n = 8 + k. Is n composite?
False
Let g(s) = 5*s**2 + 4*s - 7. Let b(j) = j**2 + j - 1. Let y(p) = -4*b(p) + g(p). Let w = 16 - 10. Is y(w) composite?
True
Let c = 0 - -2. Is (178/4)/(1/c) prime?
True
Suppose 52 = -0*d - d + 4*a, d - 5*a = -52. Is -1 + (0 - d) + 2 a prime number?
True
Suppose 4*g - 3*g = 10. Let n(q) = q**3 - 9*q**2 - q + 4. Is n(g) a composite number?
True
Let w(o) = o**2 + o + 1. Let l(i) = 4*i**2 + 8*i + 10. Let n(g) = -l(g) + 5*w(g). Let k be n(5). Suppose -k*p + 7 - 17 = 0, u = 3*p + 41. Is u prime?
False
Suppose m = -0*m + 3. Suppose -3*y - m = -0*y. Is 20*1*1 - y composite?
True
Suppose 5*n + 546 = -n. Let x = n + 276. Is x prime?
False
Let p(s) = 16*s**3 - 5*s**2 - 2*s + 4. Let y(j) = -8*j**3 + 2*j**2 + j - 2. Let v(q) = 2*p(q) + 5*y(q). Is v(-3) a prime number?
True
Suppose m = -0*m + 1. Let c be (5 - 6)*3/m. Is 80 + c + -2 + 2 prime?
False
Let m(y) be the first derivative of -642*y**2 + y - 2. Let h be m(-1). Suppose 3*a - 1285 = -2*a + 5*g, 5*a + g - h = 0. Is a a prime number?
True
Let v = -14 + 17. Suppose -s = x + 3*x - 2736, -v*s - 3437 = -5*x. Is x composite?
True
Let y(w) = 30*w + 2. Is y(4) a composite number?
True
Suppose -2*b + 6*b = 4, -4 = -2*d + 4*b. Suppose 3*f + d*u + 182 = 0, 0 = 3*f + 2*u + 37 + 135. Let p = f + 133. Is p a prime number?
True
Let u(l) = -4*l**2 - 2*l - 3. Let s be u(-3). Suppose -i - 742 = 5*a, -3*i + 290 = -2*a - 0*a. Let q = s - a. Is q a composite number?
True
Let n be (-38)/14 + (-4)/14. Let u = -1 - n. Suppose 0 = -c + 3*l + 82, u*c - 4*c = -5*l - 163. Is c a composite number?
False
Suppose 21 = 4*w - 3*a - 10, 12 = -2*w - 4*a. Is (158/6)/(w/12) a composite number?
False
Let i = 197 - 78. Is i composite?
True
Let a(q) = -3*q - 4. Let s(k) = k + 4. Let l be s(-8). Let u be a(l). Let f = 43 - u. Is f a composite number?
True
Is 2098 + (4 - -2)/2 a prime number?
False
Let s be 6/10 - (-4)/10. Let h be (-11 + 1)*(s + 0). Is ((-3)/(-2))/((-5)/h) a prime number?
True
Let p = -24 + 28. Suppose i + 2*i - 423 = p*l, -4*l = 0. Is i prime?
False
Let y(q) = 57*q**2 - q - 1. Let s be y(-1). Suppose l + 7*v = 2*v + 19, 5*l - 26 = -2*v. Suppose -l*x + s = -x. Is x a composite number?
False
Is 2 + 104 + (-1 - -1) a prime number?
False
Let i(y) = y. Suppose -2*v - 2 = -8. Let c be i(v). Suppose c*r - 30 = 33. Is r composite?
True
Let t(s) be the second derivative of s**6/60 - s**5/20 + s**4/4 + s**2/2 - 3*s. Let k(u) be the first derivative of t(u). Is k(5) a prime number?
False
Let c be (-19)/(-1)*(-4 + 5). Suppose -5*x - c = -u - u, x = 2*u + 1. Is u*(-3 - -4) + 188 a prime number?
False
Suppose -5*j = -352 - 658. Let s = j + -144. Is s prime?
False
Suppose 8 = -4*t, 2*s - 7*s = -2*t - 5214. Is s prime?
False
Suppose t = -3*t. Suppose t = -d - 2*h + 25, -2*h - h + 90 = 4*d. Is d a composite number?
True
Let h(k) = 3*k**2 + 4*k + 1. Is h(6) a composite number?
True
Let v = 567 + -88. Is v a composite number?
False
Suppose 2*u + 2 = -8, 568 = 3*g + u. Is g a prime number?
True
Let g(r) = 238*r - 3. Is g(1) prime?
False
Is (-8)/32 + 3183/12 composite?
True
Let t be (36/(-5))/(4/(-20)). Let g = t - 21. Let u = 34 - g. Is u a prime number?
True
Suppose 2*y + y = 0. Suppose y = 5*b - 3*b - 212. Suppose -b = -3*f + f. Is f composite?
False
Let r be 1 + ((-4)/(-2) - -116). Suppose -270 = -5*p - t, 5*p + 5*t - 171 = r. Is p prime?
True
Let t be (-1)/3 + 76/12. Let s be 10/((t*1)/3). Let f(q) = -q**3 + 6*q**2 - 5*q + 6. Is f(s) composite?
True
Suppose 0 = 5*b - 2*t + 16, 0 = -4*t - t + 15. Is (-2080)/(-13) + -1 + b prime?
True
Let f(u) = u + 11. Let m be f(-10). Let a(s) = -s**2 + 7*s + 3. Let p be a(7). Is 294/9 + m/p composite?
True
Suppose 9*t = 4*t - 455. Let w = -20 - t. Is w a prime number?
True
Let z(b) = 9*b**2 + 14*b + 11. Let q be z(-9). Is q/(-6)*(-3)/1 composite?
False
Let x(c) = -9*c**3 - 4*c**2 - 1. Let y be x(3). Let r = y + 513. Is r composite?
False
Let g(d) = -204*d**2. Let u be g(1). Let z = 317 + u. Is z prime?
True
Let d(k) be the first derivative of 7*k**3/3 + k**2 + 2*k - 2. Let t be (-3 + 1)/((-14)/(-21)). Is d(t) composite?
False
Let l be (-76)/(-28) - (-4)/14. Suppose -l*r + 146 - 35 = 0. Is r composite?
False
Let y = 387 - -10. Is y a composite number?
False
Suppose 0 = -g - g - 8. Let c be (-1)/4 - 13/g. Suppose -u = c*a - 7, -4*u + u - a = -37. Is u composite?
False
Suppose 0 = -2*o + 4*o. Is (o/1 - -37)/1 a prime number?
True
Suppose 5*w + 5*m + 5 = 0, -2*w + 7*w - 15 = 5*m. Let n = w + 1. Let l(j) = 5*j + 1. Is l(n) composite?
False
Suppose -3*t = 5*d, 4*d + 6*t + 3 = 3*t. Let n(i) be the third derivative of 2*i**5/15 + i**4/8 - 2*i**3/3 - i**2. Is n(d) a prime number?
False
Let n = 6 + 77. Let v = -23 + n. Is 4/(-14) + v/14 prime?
False
Is (-1)/2 - 5224/(-16) composite?
True
Suppose 0 = 4*s - 1300 - 696. Is s a prime number?
True
Let h = -347 - -646. Is h a prime number?
False
Let q be ((9/(-3))/(-1))/1. Let i = q - -23. Is i composite?
True
Let i(x) = 2 - 65*x - 1 - 51*x. Is i(-2) a prime number?
True
Is (-305)/(-25) - 4/(-5) prime?
True
Let m(s) = 11*s**2 + 39*s - 10. Let a(v) = 5*v**2 + 19*v - 5. Let b(k) = 13*a(k) - 6*m(k). Let r be b(9). Let f = r + -17. Is f a prime number?
False
Suppose q = 0, 3 = 3*m + 3*q - 12. Let r = 16 + 8. Suppose -2*c - 3*n + m = -r, -4*n = 3*c - 46. Is c a composite number?
True
Let x(f) = -f**3 + 7*f**2 + 3*f + 4. Is x(-5) a composite number?
True
Let d = 14 + -11. Suppose 3*w = 3*k - 153, -d*w + 0*w = 2*k - 92. Is k a prime number?
False
Suppose 0 = 4*o + 328 - 3108. Suppose -3*t = -0*s + 3*s - 417, 0 = 5*t + 3*s - o. Is t a prime number?
True
Let m(x) = 2*x + 8. Let y be m(6). Suppose 0 = s - 139 + y. Is s prime?
False
Let f(v) = 27*v - 7. Let s(m) = -28*m + 8. Let b(q) = -4*f(q) - 5*s(q). Let d be b(10). Suppose -3*u - u = -d. Is u a prime number?
False
Let w be (-7 - 5)*(-2)/4. Let y(h) = h**3 - 6*h**2 + 3*h + 1. Is y(w) composite?
False
Suppose 3*u + 4 - 7 = 0. Let z = u - -3. Let d(j) = -j**2 + 8*j - 6. Is d(z) a composite number?
True
Let l = -215 - -687. Suppose -6*i + l = -2*i. Is i prime?
False
Let d = 74 + -42. Let x be (1/(-2))/(2/d). Is 1028/(-6)*12/x a composite number?
False
Suppose 0 = 9*o - 239 + 50. Is o a composite number?
True
Let n = -808 - -1715. Is n a prime number?
True
Let x be 1081 + 5/(5/3). Suppose 2*j - x + 290 = 0. Is j prime?
True
Let s(t) = t**2 + 2*t - 1. Let q be s(-2). Is 0*q/(-2) - -21 composite?
True
Let y(j) = 5*j**2 - 5*j - 7. Is y(7) a composite number?
True
Let w = -37 + 212. Let s = 324 - w. Is s composite?
False
Let s(m) = m**3 + 12*m**2 - 1. Suppose -k = 2*k - 6. Let x be k/4*12*-1. Is s(x) a composite number?
True
Let i be (-2)/(3/((-9)/(-3))). Let c(v) = -5*v**3 + 2*v**2 - 1. Is c(i) prime?
True
Suppose -4*v = -v - a - 3242, -3*a = 3*v - 3246. Is v composite?
True
Let i be 2/((-2)/4*-4). Let b be 0 + (i + 2 - 3). Suppose -2*f + b*f + 134 = 0. Is f a prime number?
True
Let f = 116 + -286. Let s = -290 - f. Let l = s - -171. Is l prime?
False
Let d be 2/((-9)/7 + 1). Let z be 4/14 - (-2)/d. Suppose -2*y = -z*y - 102. Is y a prime number?
False
Suppose -2*l - 797 = -2707. Is l a prime number?
False
Let y(b) be the first derivative of b**4/4 + 13*b**3/3 + 7*b**2/2 - 7*b - 6. Is y(-12) prime?
True
Suppose 0 = 3*z + 2*y - 2999, 0*z + 4*z - 3*y = 3976. Is z a prime number?
True
Let v = -323 + 1188. Is v a composite number?
True
Suppose -2*y + 4*b - 68 = -0*y, 2*b - 138 = 5*y. Let j = -16 - y. Is j composite?
True
Let x = -1002 + -174. Let s = -690 - x. Is (-4)/(-14) + s/14 a composite number?
True
Let k = -1721 - -2412. Is k a prime number?
True
Let u = 26 + -24. Suppose -277 = -u*d - 2*m + 225, -5*d + m + 1255 = 0. Is d a prime number?
True
Let v(z) be the third derivative of 3*z**4/8 - 7*z**3/6 + z**2. Let o = -13 + 18. Is v(o) prime?
False
Suppose -2*x - q = -7*x + 9, -3*q - 16 = -4*x. Let m(l) = -3*l + 5*l - x + 2. Is m(3) a prime number?
True
Let a(b) = -b**3 - 2 - 7*b - 4*b**2 + 4 + 5*b. Is a(-5) a composite number?
False
Let p(j) = j. Let l be p(1). Suppose 0*b = -b + 19. Is 3 + -3 + l*b a composite number?
False
Let p(o) = -7*o**2 - 11*o + 6. Let m be p(-10). Let x = -249 - m. Is x a prime number
|
{
"pile_set_name": "DM Mathematics"
}
|
to the nearest ten thousand?
50000
Let t = 22589729104 + -22589728117.9977571. Let o = -943.002256 + t. Let x = 43 - o. Round x to 6 decimal places.
0.000013
Let s = 4157 - 4156.99999392. Round s to six dps.
0.000006
Let u be (-2761648)/(-56)*-4 + 12/21. Round u to the nearest ten thousand.
-200000
Let r = 25001 - 24886.889. Let m = 0.111 - r. Let i = 100.3 + m. What is i rounded to 0 dps?
-14
Let d = -75201 - -75201.00000051703. Round d to 7 dps.
0.0000005
Let f(i) = 1212501*i**2 - 9*i + 20. Let g = -66 - -98. Let y be 16/g + 0 + 14/4. Let z be f(y). Round z to the nearest 1000000.
19000000
Let o = 15150622 + -15150625.99999928. Let b = 4.1 - 0.1. Let r = o + b. What is r rounded to 7 decimal places?
0.0000007
Let g = 14866 - 12081.3. Let o = -2615 + g. Round o to the nearest 10.
170
Let r = -276769.4022398 + 276295.4022. Let q = r + 474. What is q rounded to five dps?
-0.00004
Let b = 434755 + -181717. Let d(f) = -459*f**3 + 11*f**2 - 10*f + 6. Let m be d(7). Let n = m - b. What is n rounded to the nearest 10000?
-410000
Let s be ((-4923)/(-27))/((1 + -3)/2166). Let u = -133167 - s. What is u rounded to the nearest 1000?
64000
Let t = -24086 - -24087.2869. Round t to one decimal place.
1.3
Let p(m) = -18*m**3 + 24*m**2 - 23*m + 13. Let o be p(17). Let b = o - -169747. Suppose -1171 = 17*j - b. Round j to the nearest one thousand.
5000
Let z = 0.032 + 9.218. Let i = -1127 - -1135. Let q = i - z. What is q rounded to 1 decimal place?
-1.3
Let r = -6782 + 6831.57. Round r to 0 decimal places.
50
Let z = -1945 + 2773. Let b = 490 - z. What is b rounded to the nearest 100?
-300
Let q = 29.3 + -29.719. Let b = q + 0.419529. What is b rounded to five decimal places?
0.00053
Suppose -1106967713 = -26*g + 687929622 + 516450665. What is g rounded to the nearest 1000000?
89000000
Let i = 304 + -304.005696. Round i to 4 dps.
-0.0057
Let o = -1.497 - -38.117. Let d = -36 + o. Let j = d - -2.98. Round j to 0 decimal places.
4
Let t = 305.899 - 336.7. Let a = t - -0.521. Round a to 0 decimal places.
-30
Let d(z) be the third derivative of -24049*z**5/30 - 7*z**4/8 - 35*z**3/6 + z**2. Let r = 4615 + -4632. Let x be d(r). Round x to the nearest 1000000.
-14000000
Let g = 17681.3 + -15469. What is g rounded to the nearest 100?
2200
Let p = -943 - -941.709. Let x = p + 1.54. Let s = -0.249338 + x. Round s to 5 dps.
-0.00034
Let z = 5425.69 + -4955.2. Let m = z - 468. What is m rounded to the nearest integer?
2
Let f = 118.81 - -2.19. Let j = -121.000018 + f. What is j rounded to 6 decimal places?
-0.000018
Let z = -823 - -823.0371. Let l = z - -6.3829. Round l to zero decimal places.
6
Suppose -14684337 = -29*d + 31654560. Let u = d + -2995893. What is u rounded to the nearest one hundred thousand?
-1400000
Let i = -72 + 68. Let u be (-870)/4 + (-2)/i*1. Let w = u - -1167. Round w to the nearest 100.
1000
Let t(o) = -115*o + 5 + 214*o + 192*o. Let y be t(1). What is y rounded to the nearest ten?
300
Let i(z) = 165*z**3 + z**2 + 2*z + 2. Let t be i(-1). Let r be -2*(-3 + t/8). Suppose -4*v + f = -0*v + r, 5*f = 2*v + 1. What is v rounded to the nearest 10?
-10
Let w = 24.449855289 + -0.449855169. Let z = -23.6 + -0.4. Let o = z + w. What is o rounded to seven decimal places?
0.0000001
Let u = 7.49 - 7.490007977. Round u to 6 dps.
-0.000008
Let v(j) = -j**2 - 19*j. Let g be v(-19). Suppose g*u + 7*u = 0. Suppose 3*s + 0*s - 741 = u. Round s to the nearest 10.
250
Let u = 406 - 194. Let k = u + -211.9522. Round k to two decimal places.
0.05
Let p = -1314 - -1314.02862. What is p rounded to two dps?
0.03
Suppose -d + 4*f = 2564395 + 16613, -5*f = -2*d - 5162010. What is d rounded to the nearest one hundred thousand?
-2600000
Let n = -1.257 - -61.557. Let g = 62 - n. Let w = 1.699889 - g. Round w to five dps.
-0.00011
Let f = -9591 - -8687.3. Round f to the nearest 100.
-900
Let k(h) be the second derivative of 83*h**4/4 - 2*h**3/3 + 5*h**2/2 - 92*h. Let l be k(5). Round l to the nearest one thousand.
6000
Let d = -0.073184 - 0.174248. Round d to three dps.
-0.247
Let p be -6 - 344/(-56) - 27/(-7). Let h be (12/(-8))/((-6)/p). Let u be 68 - (9/(-5) - h/5). What is u rounded to the nearest one hundred?
100
Let c = -0.06101 + -740.33899. What is c rounded to the nearest one hundred?
-700
Let z = 470547.0900428 - 470547. Let j = z + -0.09. What is j rounded to 5 decimal places?
0.00004
Let c = 272.86 - 1.86. Let s = -156.131 + -115.103. Let p = s + c. What is p rounded to 2 dps?
-0.23
Let i = 1.04 - 1.135. Let r = i + 0.675. Let c = 0.5800086 - r. What is c rounded to six dps?
0.000009
Let k = 825.9071 + -831.88. What is k rounded to 2 dps?
-5.97
Let r = 79631353342 + -79631755902.60061. Let u = -402563 - r. Let z = -2.4 - u. Round z to three dps.
-0.001
Let i(z) = z**2 - 11*z + 16. Let f(j) = j - 1. Let r(d) = 5*f(d) + i(d). Let s be r(3). Let w be (-2 + 6 + 115)*s/(-2). Round w to the nearest 10.
-120
Suppose 0 = -5*p - 50 + 25. Let s(j) = -692*j + 70. Let k be s(p). Round k to the nearest one hundred.
3500
Let r = -261.0983 - -260. Round r to two decimal places.
-1.1
Let z = 130 - 126. Suppose p = z*h + 69310 - 9349341, -4*p = -2*h + 37120068. Let q be p/(-20) + (-3)/4. Round q to the nearest 100000.
500000
Let i = 1664.5999061752 + 27.4001161548. Let x = -1692 + i. Round x to 6 decimal places.
0.000022
Let s = 47381572.901570117 - -5.828429883. Let b = s + -47381787.7299853. Let j = b - -209. What is j rounded to 6 decimal places?
0.000015
Let r = -0.044 - -0.1. Let q = r - 0.286. Let j = q + 0.31. Round j to 1 decimal place.
0.1
Let a = 2509 + -2508.996824. What is a rounded to 3 dps?
0.003
Suppose 12*z - 48 = 9*z. Let u = z + -12. Suppose -3*f = u*g + 4, 5*f + 3*g = -0*g - 25. What is f rounded to zero decimal places?
-8
Let r = -296 - -396. Let n = -6420002313 - -6420002213.00000086. Let a = n + r. Round a to seven decimal places.
0.0000009
Let v = 735.91013 - 735.9. What is v rounded to 3 decimal places?
0.01
Let f = -0.05397 - -0.149288. What is f rounded to 3 dps?
0.095
Let y = -16660 - -17040.68. Let x = y + -382. Round x to 1 decimal place.
-1.3
Let m = 682559218 - 682559198.58502532. Let f = -11.5850258 - m. Let p = -31 - f. What is p rounded to 7 decimal places?
0.0000005
Let o = -25790 + 25869.065. Let h = 79 - o. Let k = -0.064 + h. Round k to 2 decimal places.
-0.13
Let v = 3589.0004424 + -3589. Round v to 5 decimal places.
0.00044
Suppose 8*q = 11*q - 2567970. Suppose -6224010 = -4*s + q. Round s to the nearest one hundred thousand.
1800000
Let w be (3 - (-10)/5) + -1602305. What is w rounded to the nearest ten thousand?
-1600000
Let z = -25 - -30.4. Let t = 180.9 - z. What is t rounded to the nearest ten?
180
Suppose -61*s + 1620 = -16*s. Suppose -s*c + 591715283 = 196435283. What is c rounded to the nearest 1000000?
11000000
Let w(g) = g**3 - 3*g**2 + 3*g - 14. Let q be w(4). Suppose q*f + 4*f = -134820. What is f rounded to the nearest one hundred?
-7500
Let y = -0.0806 + -2413.5194. What is y rounded to the nearest 100?
-2400
Let g = 247181323373838.3100153 - 247181347380566. Let v = 24006898.69 + g. Let s = -171 + v. Round s to 6 dps.
0.000015
Let o = -134 - -511. Let l = 377.001768 - o. What is l rounded to 4 decimal places?
0.0018
Suppose -3*f - 198 = -9*f. Suppose -f*o + 85*o = 561600. What is o rounded to the nearest ten thousand?
10000
Let d = -64 - -60.3. Let s = 2.992 + d. What is s rounded to 1 decimal place?
-0.7
Let a = 2913 - 2683.1. Let s = 74.4 - a. Round s to the nearest 10.
-160
Let p = 0.20385578 - 0.20369. What is p rounded to 6 decimal places?
0.000166
Let l = 0.1854 + 0.0151. Let y = l + -0.2007738. Round y to five decimal places.
-0.00027
Let a be -3 - 536098 - (0 + -1). What is a rounded to the nearest 100000?
-500000
Let u = -16855.99986841 - -16856. What is u rounded to 5 decimal places?
0.00013
Let g = 483.003086 - 483. What is g rounded to four dps?
0.0031
Let q = 10125444 - -31046432. Suppose -q + 7371876 = 2*z. Round z to the nearest 1000000.
-17000000
Let z = 102.14 - 92.894. Round z to 1 decimal place.
9.2
Let p = 35553 - 35552.78829. Round p to three dps.
0.212
Let j = 0.0381 + 49.0619. Let o = -49.0998344 + j. Round o to six decimal places.
0.000166
Let x = -0.3648 + 0.263. Let t = 133.9982 - x. What is t roun
|
{
"pile_set_name": "DM Mathematics"
}
|
ed by -11190389?
3
1 divided by 22170470
1/22170470
166516288 divided by 4
41629072
What is -2078 divided by -45297?
2078/45297
Divide 0 by 33242664.
0
Calculate 1169 divided by 18600.
1169/18600
-34 divided by 184164
-17/92082
Calculate -47762 divided by 3838.
-23881/1919
Divide -61947743 by -433201.
143
What is -139 divided by 4742545?
-139/4742545
What is 1620166 divided by 20?
810083/10
What is 23292 divided by -45?
-2588/5
What is -5 divided by 445303772?
-5/445303772
-781279614 divided by 9
-86808846
Calculate 73128335 divided by -5.
-14625667
Divide -2923297956 by -4.
730824489
22256892 divided by -1059852
-21
Divide 2 by 4041072.
1/2020536
Divide 144300 by -3.
-48100
What is -1 divided by -71370397?
1/71370397
-97736240 divided by -6981160
14
Calculate -134131 divided by -1062.
134131/1062
Calculate 5419827 divided by 21.
258087
-5948750 divided by 4
-2974375/2
Divide 212929556 by 5.
212929556/5
1 divided by 9450335
1/9450335
216 divided by 7011
24/779
Divide 359 by 559733.
359/559733
Divide 11692801 by 1.
11692801
Divide -1218168 by 29004.
-42
-331 divided by 222656
-331/222656
Calculate -116600944 divided by 58300472.
-2
Divide 29127520 by -1456376.
-20
-37 divided by 3084151
-37/3084151
What is -5796900 divided by -289845?
20
What is 2 divided by 5904812?
1/2952406
Calculate -118064 divided by 6441.
-118064/6441
Calculate 77883096 divided by 1268.
61422
Calculate -51112140 divided by -2555607.
20
38647 divided by 2816
38647/2816
What is 325724930 divided by 5?
65144986
Calculate 11633048 divided by -344.
-33817
Divide 110412400 by 25.
4416496
Divide 337377132 by 9.
37486348
Calculate 81021989 divided by 3.
81021989/3
What is -39282478 divided by -141814?
277
Calculate -4012680 divided by 23604.
-170
Calculate -5 divided by -123494363.
5/123494363
Calculate -34790 divided by 92.
-17395/46
Divide -14367380 by 340.
-42257
What is 6537552 divided by 3?
2179184
What is -6648160 divided by 35936?
-185
What is 0 divided by 22953644?
0
Calculate -74051895 divided by 5.
-14810379
What is 64081758 divided by 39?
1643122
What is 5 divided by -2021657?
-5/2021657
Divide -465 by 3497.
-465/3497
Calculate 161182670 divided by -5.
-32236534
6117527 divided by -1
-6117527
Divide -228444902 by -114222451.
2
-13991208 divided by -791
17688
-16035426 divided by -485922
33
Calculate -257056365 divided by -75895.
3387
Calculate -406752 divided by -33896.
12
Divide -2 by 33808807.
-2/33808807
Divide -130176 by 224.
-4068/7
2336616156 divided by -4
-584154039
What is -32697630 divided by 1505?
-21726
Divide -23 by -366048.
23/366048
4 divided by -458282
-2/229141
What is 14652414 divided by -3942?
-3717
Calculate -170 divided by -10458.
85/5229
Divide -10223 by -15841.
10223/15841
Divide 8972509 by -690193.
-13
What is 6163898 divided by 34?
3081949/17
-2416063062 divided by 6
-402677177
Calculate 11816 divided by 56.
211
What is -330018676 divided by 8049236?
-41
Calculate 1 divided by -3855956.
-1/3855956
1 divided by -29196720
-1/29196720
Divide 104 by -2714.
-52/1357
What is -3651 divided by 6605?
-3651/6605
Calculate -66735017 divided by -6.
66735017/6
What is 9 divided by 38135?
9/38135
Calculate -1039895232 divided by 44916.
-23152
What is 539760 divided by 177?
179920/59
What is 54060503 divided by -179603?
-301
What is -9827172 divided by -9413?
1044
Calculate -24 divided by 56417653.
-24/56417653
-34646 divided by 4093
-34646/4093
-479208 divided by -538
239604/269
Divide -9174 by 5785.
-9174/5785
Divide 3052998 by -39141.
-78
What is 21459860 divided by -6?
-10729930/3
Divide 7741787 by 7741787.
1
-182682218 divided by -82774
2207
Divide -385772795 by -77154559.
5
What is 140009445 divided by -27?
-5185535
Divide -775 by -16674.
775/16674
Divide -3 by -1582546.
3/1582546
What is -7159 divided by -1275?
7159/1275
Divide -61 by -290991.
61/290991
Divide 68027244 by 134.
507666
Calculate -2086419 divided by -2086419.
1
What is -93 divided by -3808?
93/3808
1680916 divided by 21
1680916/21
28351134 divided by -58698
-483
Calculate -279877554 divided by -9.
31097506
Calculate 969 divided by -1379.
-969/1379
-2 divided by 5670988
-1/2835494
Calculate -1552018552 divided by -110858468.
14
What is 169644 divided by -92?
-42411/23
-2 divided by -42930291
2/42930291
What is 327 divided by -724381?
-327/724381
-132528 divided by -111
44176/37
-504608595 divided by -5
100921719
Calculate 9 divided by 1954192.
9/1954192
Divide -16974300 by -226324.
75
What is 55 divided by -10587?
-55/10587
Divide -5 by -2746561.
5/2746561
Divide -30905626 by 1.
-30905626
0 divided by -367576227
0
68283339 divided by -23817
-2867
1119107 divided by 1
1119107
Calculate 246342841 divided by -5.
-246342841/5
Calculate 755745683 divided by 301.
2510783
Divide 86906040 by -17628.
-4930
4 divided by 41650999
4/41650999
What is -1494 divided by 452?
-747/226
What is -144575 divided by -72?
144575/72
Calculate -31978054 divided by 1881062.
-17
-74435314 divided by 3236318
-23
77172452 divided by 1134889
68
1418045 divided by -5
-283609
Calculate -19603832 divided by -2.
9801916
Divide 2852930 by 92030.
31
What is 2999246 divided by -5?
-2999246/5
Calculate -784109328 divided by 6.
-130684888
Calculate -2 divided by 6774421.
-2/6774421
905653 divided by 1
905653
81135 divided by -1
-81135
-33 divided by -320009
33/320009
Calculate -15879329 divided by -479.
33151
Divide 12814178 by 12814178.
1
Divide -12093 by 19617.
-4031/6539
What is 4896360 divided by -134?
-36540
Calculate 5345 divided by 2527.
5345/2527
Divide -84046 by 1.
-84046
What is 15219184 divided by -56788?
-268
Calculate -3 divided by -24472939.
3/24472939
What is 1 divided by -14982167?
-1/14982167
Calculate 1 divided by -59004.
-1/59004
Calculate -4372727 divided by 237.
-4372727/237
What is -309504910 divided by -2?
154752455
Divide 2008 by 3240.
251/405
-2760693 divided by -141
920231/47
-95312 divided by -28
3404
What is 1620039 divided by 8?
1620039/8
What is 5 divided by 3809967?
5/3809967
Divide 205033920 by 4271540.
48
Divide 15098316 by 56337.
268
What is -758 divided by 1353?
-758/1353
Calculate 29426130 divided by -3.
-9808710
-800 divided by 75506
-400/37753
What is 2 divided by -87973650?
-1/43986825
Calculate -1073235 divided by 179.
-1073235/179
58476690 divided by 19492230
3
Calculate -6870587 divided by 65.
-6870587/65
1411 divided by -337959
-1411/337959
What is 799547980 divided by -5?
-159909596
-5785101 divided by 21
-275481
-18210 divided by -263
18210/263
Calculate -34957260 divided by 582621.
-60
-1 divided by -2763520
1/2763520
Calculate 79 divided by 254566.
79/254566
Calculate -12669 divided by -128.
12669/128
Divide -4227314 by 182.
-23227
Calculate 283 divided by 498476.
283/498476
-383054910 divided by 30
-12768497
Calculate 21707892 divided by -25812.
-841
-139243809 divided by 46414603
-3
Divide -53283587 by -3.
53283587/3
Divide 173681376 by 6.
28946896
15064256 divided by 4
3766064
Divide -105911352 by 2941982.
-36
Divide 16686730 by 2.
8343365
Calculate 0 divided by -8096635.
0
Calculate 13958766 divided by -309.
-45174
2085827 divided by 148
2085827/148
Divide 7648950 by -2549650.
-3
Divide -260857818 by -389922.
669
Calculate 138556605 divided by -33.
-4198685
Calculate -2598720 divided by 129936.
-20
-37 divided by -271845
37/271845
27296076 divided by -156874
-174
What is 5 divided by 36143741?
5/36143741
What is -67 divided by 2697?
-67/2697
Calculate -10696440 divided by 2674110.
-4
11620296 divided by 46296
251
3 divided by -1952821
-3/1952821
118 divided by 531683
118/531683
Calculate 455920765 divided by 91184153.
5
Divide -282775840 by 8.
-35346980
Calculate 14614292 divided by 92.
158851
What is -46711852 divided by -44?
1061633
Calculate 3664402 divided by 11138.
329
-14729607 divided by -3
4909869
120526362 divided by -13391818
-9
Divide 843626 by -1.
-843626
2837002 divided by -405286
-7
Divide 5188693 by -146.
-5188693/146
What is -25 divided by 425?
-1/17
What is -187608194 divided by -46?
4078439
Divide -1225061849 by -11.
111369259
Calculate -5 divided by 6131502.
-5/6131502
14120 divided by 292
3530/73
What is 69319 divided by -109?
-69319/109
What is -1130057 divided by -7?
1130057/7
158 divided by 4556193
158/4556193
Calculate -4 divided by -33286493.
4/3328
|
{
"pile_set_name": "DM Mathematics"
}
|
2*w) - 5*w**2 + 3*w**2 + 4*w**2 as i + u*w**2 + z*w and give u.
174
Rearrange 15922*w**2 + 1 - 15700*w**2 - 2*w - 1 to l*w**2 + r*w + m and give r.
-2
Rearrange -2*p**3 - 1 - 5 + 64*p**2 + 3*p**3 + 12 to the form n*p**3 + j*p + o + w*p**2 and give w.
64
Express 4*g - 129171*g**2 + 288*g**3 + 129171*g**2 in the form y*g**2 + l*g + d + u*g**3 and give l.
4
Rearrange (2*t + 38*t - 2*t)*(3*t - 4*t + 2*t)*(0*t - 4*t - 10*t) to the form w*t + b*t**2 + i*t**3 + u and give i.
-532
Express (6 - 1 - 3)*(0 + 2 + 14)*(0*i - 4*i - i) - 8 + 10*i + 8 in the form n + z*i and give z.
-150
Rearrange 4 + 21*b - 5 + 0 + 2 + 3*b**3 - 3*b to the form p + x*b**3 + j*b**2 + y*b and give y.
18
Express -u**3 - 3*u**4 + 2*u**2 + 7*u**2 - 12*u**2 + u in the form n*u**3 + q*u**2 + y*u + a*u**4 + v and give y.
1
Express 8*b - 17*b + 6*b + 12*b + 19*b + 3 in the form r + o*b and give o.
28
Express -436*h + 469*h + 2*h**2 + 5*h**2 as p*h**2 + l + t*h and give p.
7
Express -658*k - 2*k**4 - k**2 - 68*k**3 + 658*k as a*k**4 + r*k + j*k**2 + y + t*k**3 and give j.
-1
Rearrange 2*p + 74 + 70 + p**2 - 268 + 82 to f*p + m + c*p**2 and give f.
2
Rearrange (202 + 65 + 139)*(-2*t - 3*t + 3*t - 2*t + 4*t - 4*t + (2 - 3 + 3)*(2*t + 4 - 4) - 1 + 1 - t - t - 4*t + 3*t - 2*t + 0 + 0) to q*t + s and give q.
-2030
Rearrange -o**4 + o**2 - 1803 + 1801 - 2*o**3 - 120*o + 0*o**2 to s + x*o**3 + y*o**2 + t*o**4 + h*o and give h.
-120
Rearrange 252 - 412 + 298 + y to the form a*y + o and give a.
1
Rearrange 6 - 6 + 6*s**4 + (-5*s - 3*s + 5*s)*(-2*s**3 - 2*s**3 + 3*s**3) to h*s + n + w*s**3 + x*s**2 + i*s**4 and give i.
9
Rearrange -4 + 6*o + 2 - 3*o - 1 + o + 1 + (-o + 5*o - 2*o)*(-2 - 1 + 4) + 24*o - 50*o - 172*o to the form v*o + w and give w.
-2
Express -882*v - 2*v**2 + 3*v**2 + 19*v**3 + 1 + v**2 + 880*v in the form d*v**3 + c*v + p*v**2 + m and give c.
-2
Rearrange 1 - 1 - v + (4*v - v - 2*v)*(0 + 0 - 1) + (-v + 0*v + 0*v)*(2 - 6 + 2) + 0*v - 2*v + 3*v + (2 - 2 + 2*v)*(1 - 18 - 16) to q + p*v and give p.
-65
Rearrange -3*x - 4 + 4 + (-1 + 1 + x)*(4 - 5 + 2) - 14 + 14 - 90*x to the form p + b*x and give b.
-92
Rearrange (j - 2*j + 3*j)*(9*j - 1199 + 1199 - 2*j**2) + j**3 + 7*j - 2 - 13*j + 10*j to the form z*j**2 + p + x*j**3 + s*j and give x.
-3
Rearrange (4 + 7 - 3)*(6*p + 7*p - 16*p) to d + s*p and give s.
-24
Express 2 + 12*b**2 + 5*b**4 + 17*b**4 - 11*b**2 in the form g*b**2 + k*b**4 + x + d*b + w*b**3 and give g.
1
Express (4 - 4 - i)*(-3 + 5 + 1) + (-i + 4*i - 5*i)*(-2 + 2 - 1) + (7 + 11 - 3)*(i - 3*i + i) in the form o*i + h and give o.
-16
Express -3*u**4 + 17*u**2 - 16*u**2 + 39*u**3 - 5 - 7*u**3 in the form s*u**4 + m + v*u + j*u**2 + y*u**3 and give v.
0
Express (-160 + 14 + 57)*(-1 + 2*o + 1) as n + l*o and give l.
-178
Express (-105 + 6 - 10)*(3 - 1 + 6)*(-3*c**2 + 0 + 0) as p*c**2 + u + r*c and give p.
2616
Rearrange (151 - 17*y**2 - 151 + (y - y + y**2)*(0 + 0 - 2))*(y + y + 0*y) + y - 2*y**3 - y to the form c*y**2 + a + t*y + q*y**3 and give q.
-40
Rearrange 4*x**2 + 2*x**2 - 2*x**2 + (6*x - 2*x - 3*x)*(22 + 2 - 6)*(2*x + x - 5*x) to u*x + o + g*x**2 and give g.
-32
Rearrange (350 + 609 - 531)*(-2*c**3 - 3*c**3 + 4*c**3) to g*c**2 + r + w*c + b*c**3 and give b.
-428
Rearrange -1 - c - 20*c + 2 - 14*c to the form z + j*c and give z.
1
Rearrange -p**3 + 16*p**2 - 34*p**2 + 19*p**2 - 2 - 5*p to the form f*p**3 + j + x*p**2 + k*p and give k.
-5
Rearrange (-3*j**2 + 3*j**2 - 2*j**2)*(j - j + 2*j) + (-8*j**2 - 11*j**2 + 2*j**2)*(-1 + j + 1) to the form u*j**2 + g*j + a*j**3 + v and give a.
-21
Rearrange (3*q + 4 - 4)*(1 - 1 + 2)*(2 + 4 - 1)*(-3 + 3 - q) to t*q**2 + g + l*q and give t.
-30
Rearrange (4*n - 4*n - n)*(-3*n + 3*n + 3*n)*(n + 0*n + 9*n) + 6*n**3 + 0*n**3 - 5*n**3 to the form m*n**2 + b*n**3 + w + q*n and give b.
-29
Rearrange 0*r + 0*r + r**4 - 3*r**2 + 11*r**3 - 15*r**3 to the form j + i*r + x*r**2 + z*r**4 + k*r**3 and give z.
1
Express -15607*o**4 + 0 - 692*o - o**2 + 2 + 15606*o**4 as d*o**4 + f*o**2 + t*o**3 + m*o + z and give d.
-1
Express (50 - 50 - 53*i)*(-6 + 2 - 1 + i) as q + l*i + s*i**2 and give s.
-53
Express 7*d**3 + 16*d**3 + 3*d**3 + 3*d**4 - 29*d**3 - 10*d**2 as h + z*d**3 + w*d + c*d**2 + s*d**4 and give w.
0
Express d**3 - 16*d + 31*d - 2*d**2 - 22*d in the form b + u*d**3 + c*d + i*d**2 and give i.
-2
Rearrange (-2*j - 2 + 4*j - 3*j)*(-1 - 1 + 4)*(0 - 1 - 5)*(44 + 36 + 18) to h + y*j and give h.
2352
Express -4*m**4 + 91*m**2 - 25*m + 96*m**2 - 185*m**2 as w*m + p*m**2 + l*m**3 + h*m**4 + b and give p.
2
Rearrange 2*l**4 - 2*l**3 + l - l**3 - 58 - l**3 + 59 to the form p + z*l**2 + s*l**3 + v*l**4 + r*l and give v.
2
Rearrange 3 + 1 + 0*x**2 + 42*x + x**3 - 5 + x**2 to u + p*x**2 + v*x + i*x**3 and give p.
1
Express (((3*z - 4*z + 3*z)*(2 - 1 + 1) - z + 2 - 2 - 3*z - 4*z + 5*z + 2*z - 1 + 1)*(3 - 3 - 1) - 6 - 3*z + 0*z + 5*z)*(2 - 2 - 2) as i + s*z and give i.
12
Rearrange 6*s + 17 + 14*s - 3*s**2 - 20*s to a*s + h + i*s**2 and give i.
-3
Express (0 + 2 - 4)*(-2548*c - 80 + 41 - 2633*c + 39) in the form d + w*c and give w.
10362
Rearrange 1 - 2 + 38*h**4 + 81*h**2 - 83*h**2 - 5*h + 1 to the form z*h**2 + f*h + a + d*h**3 + l*h**4 and give z.
-2
Express (4 - 1 - 2)*(-9*a + 9*a - 5*a**4) - 2*a**4 - 2*a**4 + 5*a**4 + 17*a**2 + 15*a**4 - 17*a**2 as u*a**2 + c + s*a + m*a**3 + i*a**4 and give m.
0
Express 81 - 24 - 29*b - 20 - 30 in the form d + n*b and give d.
7
Express (53031 - 639*j - 53031)*(4 - 6 + 1) as a*j + f and give a.
639
Express 3*w**2 + 7*w**2 + 7*w + 2*w**2 + 5*w**3 - 13*w**2 in the form v + b*w**2 + f*w**3 + p*w and give b.
-1
Rearrange -57*y**3 + 1 + 5*y**2 - 5*y**2 + 7*y**3 to the form s*y**3 + w*y + f*y**2 + h and give h.
1
Rearrange (-3*r**2 + 4*r**2 - 3*r**2)*(3*r**2 - 1 + 1)*(195 + 130 - 27) to s + l*r**3 + v*r**2 + u*r + a*r**4 and give a.
-1788
Express 939*r**2 - 468*r**2 - 487*r**2 - 2*r**3 in the form n*r**3 + q*r**2 + z*r + d and give n.
-2
Rearrange -26 + 0*m**4 + 270*m**3 - 268*m**3 + 2*m**4 to the form p*m**3 + c*m**2 + f*m + d*m**4 + x and give p.
2
Express -31 + 10 + 219*s**2 + 21 as x + z*s**2 + g*s and give z.
219
Rearrange 5 - 5 - 194*f - 618*f to the form x*f + s and give s.
0
Express 368*g + 848*g + 125*g + 986*g in the form n*g + d and give d.
0
Express 6*k**4 - 2*k**2 - 12*k**4 - 134*k + 133*k - 1 in the form x*k**3 + i*k**2 + t*k**4 + n + m*k and give x.
0
Express -9306*f**2 - 2 + 10*f + 9306*f**2 - 2*f**3 - f**4 + 3 as i + g*f**3 + q*f**2 + b*f + l*f**4 and give g.
-2
Rearrange (0*x**2 + 4*x**2 - 3*x**2)*((2*x - 3*x - x)*(0 + 0 - 1) + x - 4 - 2 + 8) to the form d*x + u*x**3 + k + v*x**2 and give v.
2
Rearrange -15 + 8 + 94*o + 7 to the form k + i*o and give i.
94
Express -17*m**2 - 8*m**2 + m + 6*m**2 in the form q + y*m + k*m**2 and give y.
1
Express (z**2 + 10*z**2 + 29*z**2)*(-4 + 0 - 5 - 1) in the form m*z**2 + j*z + c and give m.
-400
Express 54 - 2*x - 14*x**3 - 23 - 27 as j + a*x**2 + d*x**3 + y*x and give j.
4
Express (-57 + 33 - 141)*(2*n - n**3 - 2*n) as l*n + q*n**3 + d*n**2 + m and give q.
165
Express -12*o - 53*o - 23*o + 9*o**2 - 3*o**2 as k + l*o + g*o**2 and give l.
-88
Rearrange (-3*o - 1 + 1)*(-215 + 215 - 154*o) to v + s*o + w*o**2 and give w.
462
Express (-30*p**3 + 5*p**3 + 0*p**3)*(-30 + 30 - 73*p) as a*p**3 + v*p**2 + o*p**4 + f + d*p and give o.
1825
Express -92*m + 97*m + 9 + 2 as u + k*m and give k.
5
Express (3*l + l + 0*l)*(24*l - 6*l + 45*l) as y*l + m*l**2 + c and give y.
0
Express 92*y**2 + 88*y**2 + 202*y**2 as j*y**2 + h*y + n and give j.
382
Express 6 + 2*n - 4 - 3*n + 5*n**4 + 12*n**2 - 4*n**4 - 20*n**2 in the form x*n**2 + q*n**3 + s*n + f*n**4 + c and give s.
-1
Rearrange -141*x**3 + 4*x**2 - 180 + 181 - 38*x**3 to b*x**3 + p*x**2 + o*x + u and give u.
1
Rearrange (4*a**3 - 110*a**3 - 36*a**3)*(0*a - 2*a + 0*a) to g + w*a**2 + l*a**3 + k*a**4 + c*a and give k.
284
Rearrange (y - y + 3*y)*(-2*y**2 - 5*y + 5*y)*(4 + 1 - 13)*(-3 + 2 + 3) to the form x*y**2 + t + c*y**3 + z*y and give z.
0
Rearrange 2*q - 5*q**3 - 843*q**2 - 846*q**2 + 10*q**4 + 1691*q**2 to the form l*q + p*q**3 + s + v*q**4 + y*q**2 and give p.
-5
Rearrange -352*c + 359*c - 1 - 14 to the form g + t*c and give g.
-15
Express (-3 + 4 - 3)*(1 - 1 - y) + 3*y - 6*y + 0*y + 3 - 4 + 3 + 7*y in the form g*y + v and
|
{
"pile_set_name": "DM Mathematics"
}
|
e
Is 67497906719 a prime number?
True
Is 3160400167 prime?
False
Is 2716595579 a prime number?
False
Is 1869870239 a prime number?
False
Is 29581416971 composite?
False
Is 3548586793 a prime number?
False
Is 16962772991 prime?
True
Is 9600272767 composite?
False
Is 9762728141 prime?
False
Is 28991291011 a composite number?
False
Is 166169627753 a prime number?
True
Is 723587903 a prime number?
False
Is 652156369 prime?
True
Is 151324844123 composite?
True
Is 27276174139 composite?
True
Is 960763273 prime?
True
Is 15977484881 a prime number?
True
Is 199890563 a prime number?
False
Is 62161820561 composite?
True
Is 12250032031 a prime number?
True
Is 14176081 a prime number?
True
Is 80104329887 prime?
True
Is 2838756539 composite?
False
Is 587084873 a composite number?
False
Is 272753359 composite?
True
Is 92255749171 a composite number?
True
Is 9673743383 prime?
True
Is 28291338841 a composite number?
False
Is 232358591 a composite number?
True
Is 4383403877 composite?
False
Is 2611479503 a composite number?
False
Is 386163301 a prime number?
True
Is 379893817 a composite number?
False
Is 6822371 a prime number?
True
Is 13196984807 a prime number?
True
Is 2656938013 composite?
True
Is 1778186246 a prime number?
False
Is 67372753969 prime?
True
Is 33061761893 a prime number?
False
Is 2861697071 a composite number?
False
Is 26869427 a composite number?
True
Is 667172119 prime?
False
Is 529925519 a composite number?
True
Is 5063116021 prime?
True
Is 182775542761 composite?
True
Is 636013802687 a prime number?
True
Is 26752504787 a prime number?
True
Is 130118951 prime?
True
Is 27853981751 a composite number?
True
Is 3773307077 a prime number?
False
Is 7026744469 a composite number?
False
Is 430569413 a composite number?
True
Is 2452634167 a prime number?
True
Is 1776527233 a prime number?
False
Is 2102537929 a prime number?
False
Is 316967789 a prime number?
False
Is 3189678461 a prime number?
False
Is 4985950849 prime?
False
Is 484798109 a composite number?
False
Is 33605971367 prime?
True
Is 21990173341 a prime number?
False
Is 11833090267 composite?
False
Is 9789252829 a prime number?
True
Is 104884387187 a composite number?
True
Is 3420672001 composite?
True
Is 6143050357 prime?
True
Is 695901191 prime?
False
Is 1358846581 a prime number?
False
Is 23858827987 a composite number?
False
Is 345635047 a prime number?
False
Is 17123506159 prime?
False
Is 111809640893 prime?
True
Is 16701806501 a composite number?
False
Is 2094624047 a prime number?
False
Is 5576290949 composite?
True
Is 322726 composite?
True
Is 44589898403 prime?
True
Is 63885748363 a prime number?
False
Is 37964477743 prime?
False
Is 539525989 a prime number?
False
Is 20935041121 composite?
True
Is 6427623379 a composite number?
False
Is 4681970371 composite?
True
Is 4455122605 a composite number?
True
Is 75493096971 prime?
False
Is 68226087803 a composite number?
True
Is 52703975003 composite?
False
Is 21256845427 prime?
True
Is 10008970397 a composite number?
False
Is 3955028789 a prime number?
True
Is 53308698089 a prime number?
True
Is 49308608821 a prime number?
False
Is 661932977 composite?
True
Is 406577011 composite?
False
Is 452728240813 composite?
True
Is 17930871383 prime?
True
Is 16380126251 a prime number?
False
Is 35242973401 composite?
False
Is 2037575057 a prime number?
False
Is 5837771 composite?
True
Is 185243023265 a composite number?
True
Is 244353271 a prime number?
True
Is 4012275563 prime?
True
Is 21546953353 prime?
True
Is 90641876131 prime?
True
Is 548993261 composite?
False
Is 417962351 composite?
True
Is 66563557 prime?
True
Is 6712346735 composite?
True
Is 172690991 a composite number?
True
Is 10038190289 a composite number?
False
Is 3349739291 a composite number?
True
Is 1058898173 composite?
True
Is 1097212157 prime?
True
Is 90721330537 a prime number?
True
Is 1244378209 a prime number?
True
Is 1630098298 composite?
True
Is 2272860493 composite?
False
Is 354748609 prime?
True
Is 15867331811 a prime number?
False
Is 1149476639 prime?
False
Is 2626313111 a composite number?
False
Is 2634938543 a composite number?
False
Is 2411854781 a prime number?
False
Is 24330314851 a composite number?
True
Is 13393126997 a prime number?
False
Is 89251188409 a composite number?
True
Is 45299265514 a composite number?
True
Is 7724742097 prime?
True
Is 7039175027 composite?
False
Is 944728867 prime?
True
Is 169759509995 a prime number?
False
Is 1454595251 composite?
True
Is 5151878909 a prime number?
True
Is 13363337851 composite?
True
Is 7972191527 a prime number?
True
Is 675783097 prime?
False
Is 105905201 a prime number?
True
Is 1449121829 a prime number?
True
Is 3127886483 a composite number?
False
Is 606931558609 a composite number?
False
Is 24031720303 composite?
False
Is 243275995211 prime?
False
Is 92059697791 prime?
True
Is 509522527 a composite number?
False
Is 80809387441 a composite number?
False
Is 8997924179 prime?
True
Is 667668343 prime?
True
Is 6645111991 prime?
False
Is 10507604449 composite?
True
Is 1581535799 a composite number?
True
Is 12573828827 prime?
False
Is 357857287 prime?
True
Is 1595368169 composite?
True
Is 10767872873 prime?
True
Is 2428048795 composite?
True
Is 19753999747 prime?
True
Is 513315389 composite?
False
Is 2553243587 prime?
False
Is 3124706971 a prime number?
False
Is 82984417 a prime number?
True
Is 19832845589 prime?
True
Is 990181499 a prime number?
True
Is 15801583807 a prime number?
True
Is 312538357 a prime number?
False
Is 31888471721 a composite number?
False
Is 517993793 a prime number?
True
Is 3899436421 composite?
True
Is 712076657 a composite number?
False
Is 900969898 prime?
False
Is 1234004983 prime?
True
Is 762384341 prime?
False
Is 4730841827 a composite number?
False
Is 2228384659 a composite number?
False
Is 945339119 a composite number?
False
Is 526766497 composite?
False
Is 19171981189 prime?
True
Is 1439983729 a composite number?
False
Is 117319153531 prime?
False
Is 1374985259 a prime number?
False
Is 3588641887 a prime number?
True
Is 9642536301 composite?
True
Is 111049688697 composite?
True
Is 1620975697 a composite number?
True
Is 1754262511 a composite number?
True
Is 83937625165 a prime number?
False
Is 7784360313 a composite number?
True
Is 32571792013 composite?
False
Is 39702039199 a prime number?
True
Is 1094989577 prime?
False
Is 98884801303 composite?
False
Is 41276776417 prime?
True
Is 12032616887 prime?
True
Is 762822031 a composite number?
False
Is 19803721367 prime?
True
Is 47758633 a composite number?
True
Is 12929540441 prime?
False
Is 463688081 prime?
True
Is 1656136409 composite?
False
Is 86035423 composite?
False
Is 7806428291 composite?
True
Is 29871119129 a composite number?
False
Is 12878663527 a prime number?
False
Is 3989666903 prime?
False
Is 27709996757 composite?
False
Is 3777806729 composite?
False
Is 12068367863 prime?
True
Is 106107872971 composite?
False
Is 2876497109 a composite number?
False
Is 8804491061 a composite number?
False
Is 72503287 composite?
True
Is 524888569 a prime number?
False
Is 170282937083 composite?
True
Is 47534896543 a composite number?
False
Is 636274543 prime?
False
Is 111175199 composite?
True
Is 14872054853 composite?
True
Is 36339613519 composite?
True
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True
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False
Is 177754117 a composite number?
False
Is 269729432327 a prime number?
True
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False
Is 11620177391 a prime number?
True
Is 7812395711 a composite number?
True
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False
Is 318269013 composite?
True
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False
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False
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True
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False
Is 1981336801 prime?
True
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False
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False
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True
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False
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False
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False
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True
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False
Is 9887253661 a composite number?
True
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True
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False
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False
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False
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False
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True
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False
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False
|
{
"pile_set_name": "DM Mathematics"
}
|
227743?
22277430
Calculate the common denominator of -29/322400 and -113/38350.
19021600
What is the lowest common multiple of 9104260 and 990?
81938340
Calculate the smallest common multiple of 1072445 and 2220.
12869340
Calculate the lowest common multiple of 1128 and 3418592.
10255776
What is the smallest common multiple of 235296 and 12212?
16706016
Calculate the common denominator of -83/204410 and 53/8.
817640
Find the common denominator of -52/5133845 and -119/50.
51338450
Calculate the common denominator of 17/43033716 and -71/11736468.
129101148
What is the common denominator of 1/1208 and 127/11495328?
11495328
Calculate the least common multiple of 2167628 and 352566.
58525956
Calculate the lowest common multiple of 387795 and 23343.
12021645
Calculate the lowest common multiple of 2298 and 89516292.
89516292
Calculate the common denominator of 27/634280 and 77/2180.
69136520
What is the common denominator of -95/18872 and -107/86464?
29138368
Find the common denominator of -77/24 and 39/826108.
4956648
Calculate the smallest common multiple of 257040 and 1251936.
106414560
Find the common denominator of 97/3404424 and -67/7659954.
30639816
Calculate the smallest common multiple of 380 and 28537600.
542214400
What is the least common multiple of 10092552 and 11816?
70647864
Calculate the common denominator of 10/33517401 and -95/599864.
268139208
What is the least common multiple of 52651092 and 1421838?
1737486036
Find the common denominator of -37/18 and -91/94275156.
282825468
Calculate the smallest common multiple of 6960 and 4521360.
131119440
What is the common denominator of -13/5640 and -37/67492?
2024760
Calculate the common denominator of -50/1683 and 1/767295.
8440245
What is the common denominator of -61/1456478 and -13/2184717?
4369434
Find the common denominator of -149/18200 and -127/1965600.
1965600
What is the common denominator of -153/1820 and 43/161355?
58733220
Find the common denominator of 0 and 46/12454517.
12454517
Calculate the least common multiple of 1519 and 2768.
4204592
Calculate the common denominator of -49/760572 and -1/1185396.
131578956
What is the lowest common multiple of 29784 and 44238?
3008184
Find the common denominator of 131/409200 and -37/10956.
33963600
What is the lowest common multiple of 851026 and 64438?
24679754
Calculate the smallest common multiple of 299148465 and 518006.
598296930
Calculate the common denominator of 85/4 and 99/1423654.
2847308
What is the least common multiple of 2791590 and 76303460?
228910380
Calculate the lowest common multiple of 67071888 and 36.
67071888
What is the common denominator of 19/61059 and 33/8690731?
26072193
What is the common denominator of 107/131518010 and -3/111284470?
1446698110
What is the smallest common multiple of 43449968 and 54312460?
217249840
Calculate the smallest common multiple of 94944 and 1186800.
2373600
Calculate the lowest common multiple of 3375 and 70510500.
70510500
What is the smallest common multiple of 21830 and 6474778?
32373890
What is the least common multiple of 43300 and 5580?
12080700
Calculate the lowest common multiple of 7858154 and 19848.
94297848
What is the common denominator of -109/425766 and -89/51608?
1703064
Calculate the common denominator of -35/71 and 76/55764891.
55764891
Calculate the lowest common multiple of 160762 and 2331049.
4662098
Find the common denominator of -17/21257838 and 31/12.
42515676
What is the lowest common multiple of 9582 and 213563616?
213563616
What is the lowest common multiple of 28127680 and 4364640?
253149120
What is the common denominator of -61/319440 and 23/10670?
30985680
What is the common denominator of -93/176 and -45/232334696?
464669392
Calculate the smallest common multiple of 46505 and 9230.
1209130
What is the lowest common multiple of 14055 and 4675630?
14026890
Find the common denominator of 79/354 and 1/3447014.
610121478
Calculate the smallest common multiple of 5724036 and 2820.
28620180
Find the common denominator of 73/15180686 and -75/2628458.
743853614
Calculate the smallest common multiple of 10875835 and 901.
576419255
Calculate the common denominator of 61/1020630 and -64/15.
1020630
Calculate the least common multiple of 62246400 and 50.
62246400
What is the common denominator of -49/11103945 and -99/10?
22207890
What is the least common multiple of 224976 and 219417?
150958896
What is the common denominator of -36/20134625 and -8/5?
20134625
Calculate the lowest common multiple of 122715 and 152712.
6872040
What is the lowest common multiple of 6118533 and 11?
67303863
Find the common denominator of 55/42772 and -43/82076.
3036812
What is the common denominator of 32/6093 and 5/5167541?
46507869
Calculate the common denominator of 49/96 and 58/277233.
8871456
Find the common denominator of 65/488432 and -59/14.
488432
What is the lowest common multiple of 14552 and 29448?
53565912
What is the lowest common multiple of 226650 and 317310?
1586550
What is the common denominator of 25/820302 and 67/8232?
160779192
Calculate the common denominator of 37/154194859 and -3/14.
308389718
Find the common denominator of 19/16082 and 117/29920.
1286560
What is the common denominator of 4/111073851 and -74/111073851?
111073851
Calculate the least common multiple of 74571120 and 312.
74571120
Calculate the least common multiple of 15087110 and 3017422.
15087110
What is the least common multiple of 2322285 and 3251199?
16255995
Calculate the common denominator of -89/6604616 and 83/10.
33023080
Calculate the common denominator of 61/45306040 and -127/540072.
407754360
Find the common denominator of -79/2996700 and -113/630.
8990100
Calculate the smallest common multiple of 9408 and 439236.
7027776
Find the common denominator of 23/6015900 and -103/546900.
6015900
Find the common denominator of 49/334688940 and 161/334688940.
334688940
What is the common denominator of 45/1053154 and -57/460?
242225420
Calculate the least common multiple of 59088 and 59531160.
119062320
What is the smallest common multiple of 170934 and 426?
12136314
Calculate the common denominator of 53/24338744 and 101/20.
121693720
Find the common denominator of 79/2430 and 23/4328640.
12985920
Calculate the common denominator of 79/329847 and -57/769643.
2308929
Find the common denominator of 23/10720 and 133/7380.
3955680
What is the least common multiple of 440248 and 2696519?
21572152
Calculate the least common multiple of 6505 and 4119690.
5359716690
Calculate the common denominator of 29/47897 and -52/6370301.
6370301
Find the common denominator of -27/1259962 and -23/343626.
3779886
Calculate the lowest common multiple of 23627952 and 81.
212651568
Calculate the common denominator of 59/78000 and 209/179400.
1794000
Calculate the common denominator of 145/11410392 and 91/240.
114103920
Calculate the least common multiple of 873712 and 290.
4368560
Calculate the smallest common multiple of 81000 and 795825.
31833000
Calculate the common denominator of -101/93100 and 81/7600.
372400
What is the lowest common multiple of 251356 and 12079?
64598492
What is the common denominator of 179/180 and -1/199140?
597420
What is the common denominator of -7/4308298 and -49/19387341?
38774682
Calculate the common denominator of 38/30531 and -28/12777.
130031529
What is the least common multiple of 44 and 9351448?
102865928
Find the common denominator of -17/966 and -53/151455.
2120370
Calculate the common denominator of 127/455840 and 197/69960.
72478560
Calculate the common denominator of 46/155125 and 46/41294275.
206471375
Calculate the lowest common multiple of 96327808 and 145072.
96327808
Calculate the least common multiple of 108636320 and 3016.
108636320
What is the common denominator of 34/4595 and -26/173?
794935
What is the least common multiple of 1274053 and 66250756?
66250756
What is the lowest common multiple of 11845 and 228351?
26260365
What is the lowest common multiple of 16288 and 6509092?
52072736
What is the smallest common multiple of 3111895 and 68461690?
68461690
Calculate the least common multiple of 16338 and 184233.
143333274
Calculate the lowest common multiple of 59280 and 1092.
414960
Find the common denominator of -43/324450 and -111/41200.
2595600
Calculate t
|
{
"pile_set_name": "DM Mathematics"
}
|
- (3 + (3 - 7))?
1
Suppose -9*k + 110 = k. Suppose k*o - 630 = -3*o. What is the units digit of o?
5
Let z(o) = -4*o + 7 - 4*o - 29 - 9*o. Let p be z(-10). Let r = 210 - p. What is the tens digit of r?
6
Let c(a) = 10*a + 161. What is the hundreds digit of c(10)?
2
Let c = -48 + 47. What is the units digit of 1/(2 + c)*149?
9
Let k = 244 + -144. Suppose -4*b = -k - 52. What is the tens digit of (b/1)/2 + 2?
2
Suppose -a + 0 = -2*w - 21, -2*w - 2*a - 24 = 0. Let n(c) = c**2 + 5*c. Let d be n(w). Let r = d - 39. What is the units digit of r?
7
What is the units digit of (-3)/(1*-3 - (-4582)/1537)?
9
Suppose -51 + 276 = -5*i. Let n be i/6*20/3. Let o = -19 - n. What is the units digit of o?
1
Let z = -13 + 10. Let u be (-1)/((z/159)/1). Suppose 2*g = 5*p - g - u, 12 = 3*g. What is the tens digit of p?
1
What is the tens digit of -6 - (2 - (1069 + (-6 - -7)))?
6
Let p = -662 - -87. Let j be 6*3/(-36)*-4. What is the tens digit of p/(-10) - (-1)/j?
5
Let p(g) = 3*g**2 + 4*g + 1734. What is the thousands digit of p(0)?
1
Let s = -834 - -2696. What is the hundreds digit of s?
8
Let l be 2/(1194/240 - 5). Let p = l + 164. What is the units digit of p?
4
Let c be 4/26 + (-14)/91. Suppose 2*v + 37 = 2*p + v, 3*p - 5*v - 38 = c. What is the tens digit of p?
2
Suppose -67 = -u + 130. Suppose 5 - 64 = i - 5*o, -3*i + 5*o = u. What is the units digit of 3/(9/i)*-1?
3
Suppose 2*w - 160 = -2*h - 3*w, 0 = 4*w - 8. Let m be h/9 - 6/(-9). Suppose 4*t = m*t - 125. What is the units digit of t?
5
Let d = 2405 - 539. What is the hundreds digit of d?
8
Let x(z) = -4*z + 0*z + 6*z + 13 - 3*z. Let g be x(10). Let q(u) = 6*u + 10. What is the units digit of q(g)?
8
Let n(o) = -19*o**3 + 2*o**2 + o + 3. What is the hundreds digit of n(-2)?
1
Let t be ((-94)/(-2) - -4)/((-6)/(-28)). What is the units digit of (-2)/(-14) + t/49?
5
Let f(h) = h + 5. Let w be 4/18 - 6/27. Let t be f(w). Suppose -2*c - t = -43. What is the tens digit of c?
1
Let i(o) = -o**3 - 5*o**2 - 6*o - 1. Suppose 11*u = 7*u - 24. What is the tens digit of i(u)?
7
Suppose 3*x - 262 = -3*z + 1115, 5 = -5*z. What is the hundreds digit of x?
4
What is the hundreds digit of 6/(-63) + (-332526)/(-126)?
6
Let t be (-4)/16 - (-493)/4. Suppose 4*s - t = 97. What is the units digit of s?
5
Let q = -8 - -11. Suppose 0 = q*t + 5*u - 375, 3*t - 606 = -2*t - 2*u. What is the units digit of t?
0
Suppose 5 = -k - 5*x, 5 = -2*k - 5*x - 0*x. Let u(c) = -5*c - 799 + 829 + 0*c + 4*c. What is the tens digit of u(k)?
3
Suppose 0 = -n - 3 + 1. Let x be (165 - 1)*n/(-8). Suppose -c - b + x = b, 205 = 5*c + 2*b. What is the tens digit of c?
4
Suppose 0 = 4*f - f. Suppose 3*q - 6 - 42 = f. Let b = 24 + q. What is the units digit of b?
0
Let j be 4 - (-1)/3*-6. Let k(m) = 0 - j + 61*m**2 + 3 - m. What is the tens digit of k(1)?
6
Suppose -4*v = v. Suppose v = -5*z + 69 + 56. What is the tens digit of z?
2
Let z = -470 + 1505. What is the thousands digit of z?
1
Let c(z) = -z + 8. Let a be c(4). Suppose 0 = a*m - s - 4*s - 470, 0 = -5*m + 3*s + 581. Let y = m - 63. What is the units digit of y?
2
Let w(u) be the first derivative of 3*u**2/2 + 8*u - 1. Let n(q) = 39*q + 203. Let j be n(-5). What is the units digit of w(j)?
2
Suppose -3*d - 21 = -b + 3, 2*d + 5*b = -33. Suppose 0 = 4*h + 20, 2*v - 5*v + 4*h - 4 = 0. Let r = v - d. What is the units digit of r?
1
Let i be (-48)/(-14) + (-15)/35. Suppose -4*o = -i*o. Suppose -5*t + 10*t - 5 = o. What is the units digit of t?
1
Let g(v) = 2*v + 17. Let x be g(17). Suppose -4 = 4*u - 5*u - f, -2*f + 2 = u. Suppose x = -3*a + u*a. What is the units digit of a?
7
Suppose -13*t = -40544 + 5301. What is the thousands digit of t?
2
Suppose r - 2*r - t = -144, r - 140 = -5*t. Let n be r/(-4) - 3/(-12). Let z = -22 - n. What is the tens digit of z?
1
Suppose 19*o - 5636 - 11350 = 0. What is the tens digit of o?
9
Let q be (-1096)/(-5) + (38/10 - 4). Let z = q - 138. What is the tens digit of z?
8
Suppose -325*n = -317*n - 28928. What is the units digit of n?
6
Let h(q) = q**3 + 6*q**2 - 3*q + 5. Let r(m) = m**2 - 6*m - 1. Let i be r(5). What is the tens digit of h(i)?
2
Let p = 274 - 172. Let l(w) = -19*w - 4. Let x be l(3). Let c = p + x. What is the units digit of c?
1
What is the units digit of (-29)/((-87)/10467) - (3 - 1)?
7
Let m(k) = k**3 - 5*k**2 - 4*k + 2. Let r be m(5). Let j = 126 - r. What is the hundreds digit of j?
1
Let x(n) = -9*n - 9*n - 3 + 3*n - 12. What is the tens digit of x(-6)?
7
Let j(o) = o**2 + 6*o - 19. Let g be j(-9). Suppose g*b = 134 + 202. What is the tens digit of b?
4
What is the hundreds digit of -30*24*(-12)/18?
4
Let p = 55 + -43. Suppose g - 51 = -p. What is the tens digit of g?
3
Let i = 3116 + 2476. What is the hundreds digit of i?
5
Let m be (-6)/2 + 1 - -4. Let r be 2*(2 + -1)*m. Suppose -r*k = k + 4*g - 113, 0 = k - g - 19. What is the units digit of k?
1
Let l = 0 + 4. Suppose c = -l*b + 7, -4*b + 5*b = 2*c - 23. Suppose -5*m - c = -6*m. What is the tens digit of m?
1
Let n = 2782 + 383. What is the tens digit of n?
6
Let n(g) = -g**3 - 9*g**2 + 6*g - 27. Let s be n(-10). Suppose 0 = -6*o + s*o - 1540. What is the tens digit of o?
2
Suppose 5*r + 35 = -4*b, 5*b - 3 + 98 = 4*r. Let h = 32 - b. What is the tens digit of h?
4
Suppose -84*x + 86*x = -5*b + 11310, -2*b - 5*x = -4545. What is the tens digit of b?
6
Let u(x) = -x**3 - 16*x**2 + 27*x + 17. Let c be u(-19). Suppose 0 = 5*f - 9 - 16, -4*y + c = -5*f. What is the hundreds digit of y?
1
Suppose 3*c + 13*b - 7071 = 12*b, 5*b - 11785 = -5*c. What is the hundreds digit of c?
3
Suppose 51 = -10*a + 171. What is the units digit of a?
2
What is the hundreds digit of (-6 + (-20268)/6)*(-2)/3?
2
Let s = -40 + 27. Let h be s/((-40)/(-12) + -3). Let j = -28 - h. What is the units digit of j?
1
Let p(c) = -c**2 - 5*c + 4. Let r be p(-5). Suppose 2*u + 2*u + 10 = -k, 0 = 4*u + 20. Suppose 2*d + 2*q + 2*q = 0, 2*q = r*d - k. What is the units digit of d?
2
Let r(d) be the second derivative of -1/6*d**3 + d + 0 + 5/12*d**4 - 1/20*d**5 - 1/2*d**2. What is the tens digit of r(4)?
1
Suppose 106 = 4*p - 14. Let z = p - -2. What is the tens digit of z?
3
Suppose -z - 6*x + 5*x + 440 = 0, -3*z - x + 1324 = 0. What is the tens digit of z?
4
Suppose -5*j + 0*p - 5*p + 85 = 0, -8 = -4*p. Suppose -2*f = -j - 65. What is the units digit of (-716)/(-10) + (-24)/f?
1
Let j be -29*4/(-30) - 16/(-120). Let l(d) = -2*d + 1. Let q be l(2). Let k = j + q. What is the units digit of k?
1
Let n(p) be the third derivative of p**6/120 + p**5/20 - p**3/6 + 5*p**2. Let a be n(-2). What is the units digit of 94/a + 24/36?
2
Let a = -784 - -801. What is the tens digit of a?
1
Let q(k) = -272*k + 19. What is the thousands digit of q(-4)?
1
Suppose -3*c - 451 = -1165. What is the tens digit of c?
3
Let x be (-40)/7 - (-6)/(-21). Let f = x + 12. Let g = -1 + f. What is the units digit of g?
5
Suppose p = 3*o - 111, -2*p + 7*p + 15 = 0. Let h = o - 23. What is the units digit of h?
3
Suppose -5*a + 3*k = 1, 4*k - k = 4*a + 2. Suppose 3*t - 32 = -2*s, 5 + a = -3*t. What is the tens digit of s?
1
What is the units digit of (-1)/10 - (429936/(-160) + -17)?
4
Suppose -23*o + 63788 - 10566 = 0. What is the units digit of o?
4
Let c(l) = l**3 + 11*l**2 + 11*l + 13. Let u be c(-10). Suppose 0 = 4*b, -u*b = -5*y - 5 - 15. Let d(h) = -h - 3. What is the units digit of d(y)?
1
Suppose 3*p - 2 = x, -3*p - 3 + 10 = 4*x. Suppose 0 = -c + x + 28. What is the tens digit of c?
2
Let o(b) = 42*b + 2. Let l be o(9). Suppose -4*z - z = -l. What is the units digit of z?
6
Suppose 6*d - 1358 = -2. What is the hundreds digit of d?
2
Suppose -9*t - 300 = -4*t. Let x = -53 - t. What is the units digit of x?
7
Suppose -4*o + 7734 = w, -3*o + 3456 = 4*w - 2338. What is the units digit of o?
4
Let t(g) = -g + 12. Let y be t(-5). Suppose -20*j = -y*j + 327. Let f = j + 153. What is the units digit of f?
4
Let n = -6077 - -9669. What is the units digit of n?
2
Let j = 213 + 519. What is the tens digit of j?
3
What is the units digit of -8 - -10 - (-164 - -3)?
3
Suppose -32 = 6*m - 158. Let t be m/14 - (-1)/(-2). What is the tens digit of 153/6 + t/(-2)?
2
Let a(l) = l**3 - 19*l**2 - 19*l + 7. Let h be a(20). Let m = -1 + 1. Let j = m + h. What is the units digi
|
{
"pile_set_name": "DM Mathematics"
}
|
20
Calculate prob of sequence ii when two letters picked without replacement from {b: 2, i: 5, l: 3}.
2/9
Two letters picked without replacement from yssyysyyysysysyysss. Give prob of sequence ys.
5/19
Calculate prob of sequence jj when two letters picked without replacement from ljlzzlzuzjzuzzzzjujz.
3/95
Four letters picked without replacement from ttftwtftffttffwftf. What is prob of sequence twwf?
4/2295
Calculate prob of sequence qgs when three letters picked without replacement from {s: 4, q: 3, e: 3, g: 1}.
2/165
Calculate prob of sequence mb when two letters picked without replacement from bmd.
1/6
Three letters picked without replacement from {g: 1, r: 1, w: 1, k: 1, q: 3}. What is prob of sequence grq?
1/70
Two letters picked without replacement from kkkeuteeeueeeeukku. What is prob of sequence kt?
5/306
Three letters picked without replacement from {e: 15, k: 4}. Give prob of sequence kek.
10/323
Three letters picked without replacement from {z: 4, i: 6, q: 4}. What is prob of sequence qqz?
2/91
Three letters picked without replacement from {m: 2, n: 1, h: 2, i: 4, j: 1, k: 5}. What is prob of sequence mkk?
4/273
Two letters picked without replacement from {h: 1, f: 2, b: 1, e: 2}. Give prob of sequence bf.
1/15
Two letters picked without replacement from {g: 3, w: 2}. What is prob of sequence wg?
3/10
Two letters picked without replacement from bbyibbybywyyyibbbb. Give prob of sequence ib.
1/17
Calculate prob of sequence fl when two letters picked without replacement from {f: 2, l: 8}.
8/45
Calculate prob of sequence aa when two letters picked without replacement from {e: 1, a: 3}.
1/2
Two letters picked without replacement from ogovhvs. Give prob of sequence os.
1/21
Three letters picked without replacement from {i: 1, c: 1, o: 1, e: 1, d: 3}. What is prob of sequence ido?
1/70
Calculate prob of sequence pv when two letters picked without replacement from mmrmvrrpvmmv.
1/44
Four letters picked without replacement from oomxvoomom. Give prob of sequence mxmo.
1/168
Calculate prob of sequence ddd when three letters picked without replacement from ddggddgdgddgg.
35/286
Two letters picked without replacement from {o: 1, l: 2, y: 4, j: 1}. What is prob of sequence yy?
3/14
What is prob of sequence gsg when three letters picked without replacement from {s: 13, g: 5}?
65/1224
Three letters picked without replacement from {g: 2, y: 3}. What is prob of sequence ygy?
1/5
Two letters picked without replacement from {p: 1, r: 3, l: 1, j: 2}. What is prob of sequence jl?
1/21
Four letters picked without replacement from {c: 2, f: 11}. Give prob of sequence cfff.
3/26
Two letters picked without replacement from {g: 7, c: 5, p: 1}. What is prob of sequence gg?
7/26
Calculate prob of sequence svzs when four letters picked without replacement from zvssv.
1/30
Two letters picked without replacement from riridiriiinnrrii. What is prob of sequence di?
1/30
Calculate prob of sequence mlml when four letters picked without replacement from mlmmmmmlmmlmmm.
5/182
Three letters picked without replacement from {o: 8, s: 4, i: 4, e: 3}. What is prob of sequence oss?
16/969
Calculate prob of sequence cv when two letters picked without replacement from {c: 7, v: 6, y: 2}.
1/5
Three letters picked without replacement from {a: 12, p: 7}. What is prob of sequence pap?
28/323
What is prob of sequence kk when two letters picked without replacement from fppkfpkpit?
1/45
Three letters picked without replacement from jffffffnfffffnfff. Give prob of sequence jjj.
0
What is prob of sequence uyc when three letters picked without replacement from yzyyyyufc?
5/504
What is prob of sequence xxms when four letters picked without replacement from mxsxxmmxxmsmxxmmksk?
49/5168
Two letters picked without replacement from xbbusssaas. Give prob of sequence sx.
2/45
Two letters picked without replacement from {z: 2, h: 7, n: 3, o: 5}. What is prob of sequence ho?
35/272
Four letters picked without replacement from {v: 6, r: 2}. Give prob of sequence vvrv.
1/7
Two letters picked without replacement from ooa. Give prob of sequence oa.
1/3
Two letters picked without replacement from {f: 1, y: 3, j: 6, z: 4}. What is prob of sequence zj?
12/91
Two letters picked without replacement from nnwnnnnnwn. Give prob of sequence nw.
8/45
Two letters picked without replacement from {t: 10, h: 4, e: 1, s: 2}. What is prob of sequence se?
1/136
Calculate prob of sequence ysyy when four letters picked without replacement from eseysyey.
1/140
Calculate prob of sequence op when two letters picked without replacement from {p: 2, j: 1, o: 2}.
1/5
What is prob of sequence qqy when three letters picked without replacement from {w: 1, y: 4, q: 2}?
4/105
Two letters picked without replacement from ykyyykyy. What is prob of sequence yy?
15/28
What is prob of sequence sc when two letters picked without replacement from pcsccccscccsccpscp?
22/153
What is prob of sequence ktjk when four letters picked without replacement from tzkzzztkjjzt?
1/990
What is prob of sequence sww when three letters picked without replacement from sdwdw?
1/30
Three letters picked without replacement from nwnnwnnnwwnnwnwnwnww. What is prob of sequence nwn?
11/76
Two letters picked without replacement from {p: 5, f: 7}. What is prob of sequence pp?
5/33
Three letters picked without replacement from {n: 10, m: 4}. What is prob of sequence mmm?
1/91
Four letters picked without replacement from {i: 11, k: 9}. What is prob of sequence kiki?
22/323
Three letters picked without replacement from tyxtx. What is prob of sequence xtt?
1/15
What is prob of sequence aa when two letters picked without replacement from ssaasasaaasssssuuaa?
28/171
What is prob of sequence ahho when four letters picked without replacement from {o: 1, h: 2, a: 1, w: 4}?
1/840
Two letters picked without replacement from pppppppynfppeppyep. What is prob of sequence fy?
1/153
Two letters picked without replacement from {j: 5, o: 8}. Give prob of sequence oo.
14/39
Two letters picked without replacement from ddaddtdtdd. What is prob of sequence ad?
7/90
What is prob of sequence ruu when three letters picked without replacement from yuyyyyyyuyrr?
1/330
What is prob of sequence smsm when four letters picked without replacement from msmsssssssms?
2/55
Two letters picked without replacement from {f: 1, v: 1, j: 1, t: 2, i: 1, h: 1}. What is prob of sequence ti?
1/21
Two letters picked without replacement from {c: 1, r: 1, w: 4, h: 1, f: 4}. Give prob of sequence fr.
2/55
Three letters picked without replacement from {r: 1, d: 1, o: 3, f: 5, y: 3, a: 1}. Give prob of sequence rao.
1/728
Two letters picked without replacement from {r: 4, v: 4, j: 6}. What is prob of sequence vr?
8/91
Two letters picked without replacement from {o: 1, q: 1, d: 2, y: 1, m: 1, a: 1}. Give prob of sequence qm.
1/42
What is prob of sequence xvx when three letters picked without replacement from vvvxvvxxvxxxvx?
7/52
What is prob of sequence qg when two letters picked without replacement from {p: 1, g: 1, f: 1, q: 7, v: 3}?
7/156
What is prob of sequence gor when three letters picked without replacement from gofuhrg?
1/105
Calculate prob of sequence dt when two letters picked without replacement from {t: 5, d: 7}.
35/132
What is prob of sequence yez when three letters picked without replacement from yez?
1/6
Calculate prob of sequence zz when two letters picked without replacement from {o: 2, z: 7}.
7/12
Calculate prob of sequence uaua when four letters picked without replacement from uaaaaau.
1/21
What is prob of sequence sur when three letters picked without replacement from xuppxcrccxpupxxsppus?
1/1140
Three letters picked without replacement from lqlo. Give prob of sequence oll.
1/12
Calculate prob of sequence ronr when four letters picked without replacement from rborn.
1/60
Calculate prob of sequence os when two letters picked without replacement from {l: 2, w: 10, s: 3, o: 3, e: 1}.
1/38
Two letters picked without replacement from frrfyrrrryfyrrcyyr. What is prob of sequence yr?
5/34
Calculate prob of sequence uouh when four letters picked without replacement from aaauuoazozaaahaohoao.
1/5814
Three letters picked without replacement from kakkaaakaaakakaakaa. What is prob of sequence aka?
154/9
|
{
"pile_set_name": "DM Mathematics"
}
|
et d(m) = -40*m. Calculate c(d(p)).
12800*p**2
Let w(z) = 69*z - 47*z - 34*z. Let u(i) = 3*i**2 + 25. Give u(w(q)).
432*q**2 + 25
Let k(x) = 4*x**2. Let d be (-2)/(-11) - (-13)/(1716/240). Let o(q) = 17 - 66*q**d - 44 + 27. Calculate o(k(v)).
-1056*v**4
Let q(o) = 3462*o**2. Let a(f) = -303893*f**2. Calculate q(a(y)).
319719007764438*y**4
Let j(h) = h. Let t(l) = -2918379*l. Determine j(t(o)).
-2918379*o
Let j(v) = 15*v**2 + 25*v**2 + 15*v**2 - 82*v**2 + 12*v**2. Let g be (9/3)/3*2. Let a(k) = 4 + g*k**2 - 1 - 3. Determine a(j(i)).
450*i**4
Let b(c) be the second derivative of 2/3*c**3 - 5/2*c**2 - c + 0. Let w(v) = -465 - 451 + 916 - v. Calculate b(w(j)).
-4*j - 5
Suppose -8*o + 107 = 155. Let g(v) = 7*v + 12. Let d(k) = -13*k - 22. Let y(b) = o*d(b) - 11*g(b). Let m(a) = -2*a**2. Give m(y(t)).
-2*t**2
Let r(k) = 23*k + 1. Let q(y) = -3*y + 2. Let d(v) = -400*v + 275. Let i(s) = 2*d(s) - 275*q(s). Give i(r(o)).
575*o + 25
Let g(v) = -v**2. Let m be (-2)/(-4 + 2)*46/23. Let x(k) = -51*k**2 + 169*k**2 - 47*k**2 - 60*k**m - 104*k**2. Give x(g(b)).
-93*b**4
Let w(j) = -188*j. Let o(y) = 7*y. Let q(z) = 60*z. Let l(d) = -36*o(d) + 4*q(d). Determine w(l(t)).
2256*t
Let l(p) = -42*p + 2. Let g(n) = -256921*n - 1. Give g(l(a)).
10790682*a - 513843
Let t(h) be the third derivative of -h**5/20 - 36*h**2 + 6*h. Let a(r) = 1461*r. Calculate t(a(l)).
-6403563*l**2
Suppose -4*u = -4*w + 16, -5*w - 2*u = -0*w - 20. Let b(x) = 2*x + 6. Let f(h) = 2*h + 8. Let j(l) = w*b(l) - 3*f(l). Let a(d) = 7*d**2. What is j(a(q))?
14*q**2
Let i be (-1)/(1*(-3)/369). Let a = i + -88. Let j(h) = 3*h - 72 + a + 37. Let m(k) = -k. Calculate j(m(g)).
-3*g
Let g(r) = -301*r. Let o(f) = -151*f**2 - 6. Let t(x) = -127*x**2 - 5. Let b(v) = 5*o(v) - 6*t(v). Give b(g(w)).
634207*w**2
Let p(d) = 730*d**2. Let h(k) = 5*k + 4853. What is h(p(b))?
3650*b**2 + 4853
Let v(z) = -3 + 0 + 3 + 6*z. Let p(x) = -2*x**2 - 14*x - 10. Let a be p(-6). Let h(o) = 201*o - 2*o**2 - 201*o - o**a. Determine v(h(l)).
-18*l**2
Let y(g) = g + 51. Let n(t) = -12*t - 561. Let u(x) = 2*n(x) + 22*y(x). Let k(c) = -3*c**2 - 1100*c. Give u(k(b)).
6*b**2 + 2200*b
Let z(t) = -t**2. Let s(w) = -134445500*w**2 - 2. Determine s(z(o)).
-134445500*o**4 - 2
Let g(h) = -3*h**2. Let l(o) = -11*o + 18*o - 8*o + 4. Suppose 0 = -v + 6*v - 20. Let j(r) = -3*r + 11. Let d(y) = v*j(y) - 11*l(y). Give g(d(b)).
-3*b**2
Let s(o) = 24384*o**2. Let n(r) = -47*r**2. Calculate s(n(h)).
53864256*h**4
Let b(j) = -2884*j. Let o(z) = -235*z - 367. What is o(b(q))?
677740*q - 367
Let c(w) = -2*w**2. Let s(u) = 28*u + 646. Let b be s(-23). Suppose 3*j - j - 18 = 0. Let y(i) = 2*i + j*i - 11*i + 17*i**b. Give y(c(d)).
68*d**4
Suppose -4 + 7 = -3*q. Let o be q/4*(-40)/10. Let m(r) = -9 + 6*r + o + 8. Let c(i) = 4*i**2. Calculate c(m(l)).
144*l**2
Let b(k) = -324*k + 43. Let g(r) = 3*r**2. Determine b(g(h)).
-972*h**2 + 43
Let v(a) = 29*a**2 + 48. Let h(j) = -265*j**2 + 788*j**2 - 271*j**2 - 254*j**2. Calculate v(h(x)).
116*x**4 + 48
Let j(a) = 2*a**2. Let z(t) = -106560*t - 96. Determine z(j(c)).
-213120*c**2 - 96
Let o(v) = -2222*v + 4109*v - 2067*v. Let f(t) = 5*t + t - 4*t. Determine f(o(z)).
-360*z
Let u(l) = -3*l. Let o(a) be the third derivative of -1663*a**4/12 - 6686*a**2. What is u(o(n))?
9978*n
Let b(t) = 18*t**2. Let c(z) be the second derivative of 41*z**4/6 - 877*z. Determine b(c(v)).
121032*v**4
Let h(l) = -3*l + 3. Let g(b) = -14*b + 16. Let c(u) = -3*g(u) + 16*h(u). Let f(t) = 10 + 3 - 13 - 15*t**2. Determine f(c(j)).
-540*j**2
Let i(c) = -3*c**2. Let n(q) be the first derivative of 2*q**3/3 + 3*q - 4291. What is i(n(k))?
-12*k**4 - 36*k**2 - 27
Let r(i) = 22*i + 5. Let z(f) = 3548*f + 3565*f + f**2 - 7113*f. What is z(r(a))?
484*a**2 + 220*a + 25
Let x(z) = -909*z. Let t(j) = 2*j**2 - 3*j + 18577. What is x(t(b))?
-1818*b**2 + 2727*b - 16886493
Let l(x) = 98779 - 98779 - 16*x + 20*x. Let z(w) be the second derivative of -31*w**3/6 + w. What is l(z(u))?
-124*u
Let j(s) = -s. Let o(u) be the first derivative of -3000*u**2 - 2995. What is j(o(i))?
6000*i
Let u(f) = 572*f**2 - 5*f + 9. Let z(h) = 286*h**2 - 2*h + 4. Let d(v) = -2*u(v) + 5*z(v). Let s(i) be the second derivative of -i**3/3 - 35456*i. Give d(s(b)).
1144*b**2 + 2
Let a(p) = 3546*p. Let c(n) = -2096*n**2 - n + 7. Determine a(c(i)).
-7432416*i**2 - 3546*i + 24822
Let o(g) = 235*g + 3. Let z(a) = -626*a - 8. Let i(p) = 8*o(p) + 3*z(p). Let m(q) = -3*q - 1258. What is i(m(f))?
-6*f - 2516
Let l(u) = u**2. Let f(s) = 13*s - 19. Suppose 0 = -5*a + 3*g + 5, -2*a + g + 6 = 3. Let c(q) = -13*q + 16. Let h(n) = a*f(n) + 5*c(n). What is h(l(w))?
-13*w**2 + 4
Let f(b) = -26*b**2. Let t(o) = 59*o - 236*o + 62*o + 64*o + 65*o. Calculate t(f(v)).
-364*v**2
Let f(k) be the third derivative of -k**4/24 + 5*k**2. Let r(i) be the second derivative of 119*i**4/12 - 144*i. Give f(r(u)).
-119*u**2
Let y(j) be the third derivative of -j**5/4 - 5*j**3/2 + 131*j**2 + 1. Let h(i) = -3*i. Give y(h(v)).
-135*v**2 - 15
Suppose l - 534 = -2*w, -13 - 3 = 4*l. Let q(c) = 1 - 263*c + 556*c - w*c. Let n(f) = -f**2. What is q(n(x))?
-24*x**2 + 1
Let p(m) = 7*m. Let f(y) = y**2 + 25*y + 3. Let d(h) = 5*h**2 + 94*h + 11. Let k(v) = 3*d(v) - 11*f(v). Determine k(p(j)).
196*j**2 + 49*j
Let y(x) = -68*x + 1. Let a(g) = 257*g - 3. Let j(i) = 4*a(i) + 15*y(i). Let s(q) = -4*q. Determine j(s(d)).
-32*d + 3
Let m(a) = -3*a**2 + 59. Let j(w) be the second derivative of -w**4/12 - 37*w - 6. Calculate m(j(q)).
-3*q**4 + 59
Let w(r) = 9*r**2 - 2. Let d(y) = 1445580*y. Determine d(w(j)).
13010220*j**2 - 2891160
Let n(j) = -j**2. Let r(a) = 3*a - 29117. Determine n(r(s)).
-9*s**2 + 174702*s - 847799689
Let q(o) = 4184*o**2 - 2*o + 2. Let z(a) = 341*a**2. Calculate q(z(u)).
486519704*u**4 - 682*u**2 + 2
Let u(j) = 248932*j. Let b(p) = 14*p + 25. Give b(u(t)).
3485048*t + 25
Let u(t) = -9*t**2. Let m = -37358 - -37358. Let w(p) be the second derivative of -1/2*p**3 - 38*p + 0*p**2 + m. Give w(u(a)).
27*a**2
Let z = 590 - 591. Let r(c) = 6*c - 2. Let g(u) = 2*u - 1. Let v(y) = z*r(y) + 2*g(y). Let d(f) = f**2 - 389. Calculate v(d(p)).
-2*p**2 + 778
Let o(r) = 18*r + 21*r - 20*r. Let m(q) be the first derivative of q**6/120 + 7*q**3 + 35. Let x(t) be the third derivative of m(t). Give o(x(g)).
57*g**2
Let p(i) = -9396*i. Let m(l) = 4350*l. Give p(m(k)).
-40872600*k
Let o(r) = -2*r**2 - 39*r. Let j(b) = 59168*b. What is o(j(p))?
-7001704448*p**2 - 2307552*p
Let x(p) = 1571248*p - 26. Let z(g) = 5*g**2. Determine x(z(u)).
7856240*u**2 - 26
Let y = 909 - 899. Let d(f) = -6*f - y*f - 12*f + 33*f - 9*f. Let b(o) = 12*o. Give b(d(r)).
-48*r
Let i(r) = -232*r + 95. Let m(a) = -175*a + 73. Let c(o) = 10*i(o) - 13*m(o). Let w(v) = v**2. Determine w(c(y)).
2025*y**2 - 90*y + 1
Let m(o) = 3*o**2. Let k(f) = -8266*f**2 + 6*f + 72. What is k(m(l))?
-74394*l**4 + 18*l**2 + 72
Let q(x) = 20*x. Let o(z) = 27*z + 16. Let w(n) = -40*n - 24. Let g(c) = -7*o(c) - 5*w(c). Let h(i) = 98*i + 70. Let m(l) = -35*g(l) + 4*h(l). Give m(q(d)).
140*d
Let h = -212 - -234. Let n(g) = 3 + 3*g**2 - h + 22 - 3. Let l(u) be the third derivative of 3*u**4/8 + u**2. Give n(l(b)).
243*b**2
Let j be ((-28)/8)/((-15)/90) + -7. Let z(o) be the first derivative of -13/3*o**3 + 0*o**2 + 0*o + j. Let a(x) = -x. What is a(z(k))?
13*k**2
Let j(x) = 5*x**2 + 60*x - 4. Let t(q) = 16*q + 13. Determine j(t(o)).
1280*o**2 + 3040*o + 1621
Let s(d) = 981*d**2. Let l(f) be the second derivative of f**4/12 - 364*f - 4. Give s(l(i)).
981*i**4
Let q(t) = -9*t + 2. Let c(a) = -285493*a. What is c(q(k))?
2569437*k - 570986
Let y(s) = 2*s**2 + 14. Let m(q) = -12584 + 312*q - 313*q + 12525. Determine m(y(i)).
-2*i**2 - 73
Let w(x) = -x**2 - 2*x - 32. Let m(o) = 3*o + 48. Let p(b) = -6*m(b) - 9*w(b). Let y(g) = -226*g. What is p(y(l))?
459684*l**2
Let p(r) = -59036406*r. Let j(t) = -2*t. Calculate p(j(m)).
118072812*m
Let c(u) = 460*u. Suppose 49*v = -230 + 1994. Let a(s) = -28*s - v*s + 65*s. Calculate a(c(f)).
460*f
Let z(p) = -61*p + 427. Let w be z(7). Let s(f) be the second derivative of 0 - f + 0*f**2 + 1/4*f**4 + w*f**3. Let a(g) = 2*g. Calculate s(a(y)).
12*y**2
Let m(o) = -3 - 5*o + 1 + 0*o. Let u(s) be the first derivative of -3*s**2/2 - 9162. Determine u(m(x)).
1
|
{
"pile_set_name": "DM Mathematics"
}
|
*b**2. Let v(w) = 4*w. Calculate v(m(l)).
8*l**2
Let p = 5 + -5. Let y(f) = -f + p + 0 + 3*f. Let m(j) = -3*j. Give y(m(d)).
-6*d
Let j(y) = 57*y - 33. Let v(f) = -7*f + 4. Let z(w) = 4*j(w) + 33*v(w). Let s(u) be the second derivative of -u**3/6 + 6*u. Determine s(z(d)).
3*d
Let j(c) = -413*c**2. Let v(p) = 2*p**2. Give v(j(o)).
341138*o**4
Let a(k) = -3*k**2. Suppose 2*b + 10 = 2*r, 3*r = -0*r + b + 17. Let l(m) = 6 - r + m. What is l(a(q))?
-3*q**2
Let c(j) = -4*j - 3. Let s(q) = -q**2. What is s(c(l))?
-16*l**2 - 24*l - 9
Let t(k) = -4*k**2. Suppose -5*u + 6 + 4 = 0. Let z(h) = h - h + 307*h**u - 306*h**2. Determine z(t(x)).
16*x**4
Let f(v) = -v**2 + 26*v. Let i(z) = 3*z**2. What is i(f(r))?
3*r**4 - 156*r**3 + 2028*r**2
Let q(k) be the third derivative of k**2 + 0*k + 0*k**3 - 1/15*k**5 + 0*k**4 + 0. Let z(t) = t. Calculate z(q(r)).
-4*r**2
Let c(i) = 2*i + 32. Let l(n) = 20*n**2. Calculate c(l(k)).
40*k**2 + 32
Let b(d) = -2*d**2 - 5*d**2 + 5*d**2. Let u(z) = 197*z - 6 + 3 - 189*z + 3. Determine b(u(p)).
-128*p**2
Let l(q) = -6*q**2 + q**2 + 3*q**2. Let x(c) = -9*c. Determine l(x(v)).
-162*v**2
Let u(q) = q. Let z(x) be the third derivative of -x**5/60 - 6*x**2. What is u(z(s))?
-s**2
Let a(z) = 235*z. Let f(d) = 6*d. Give f(a(m)).
1410*m
Let i(h) = 929*h**2. Let v(l) = -l**2. What is v(i(s))?
-863041*s**4
Let z(n) = 2*n**2. Let l(m) be the third derivative of m**4/8 - 5*m**2. What is z(l(a))?
18*a**2
Let k(p) be the third derivative of -p**4/24 + 5*p**2. Let v(j) = -9*j. Give k(v(c)).
9*c
Let a(l) = -l**2. Let f(y) be the first derivative of 0*y**2 + 3 - 2/3*y**3 + 0*y. Calculate a(f(o)).
-4*o**4
Let p(g) be the second derivative of 0*g**2 + 1/6*g**3 + 4*g + 0. Let o(l) = -l. What is p(o(i))?
-i
Let r = 16 - 8. Let o(u) = 5*u + 4*u - r*u. Let n(a) be the first derivative of a**2 + 2. Calculate o(n(y)).
2*y
Let m(t) = -t + 5. Let d(o) = -3. Suppose -5*s + s = -2*k - 24, -4*s = -k - 22. Let u(l) = s*d(l) + 3*m(l). Let h(f) = -f**2 + 0*f**2 + 2*f**2. Give h(u(v)).
9*v**2
Let f(m) be the third derivative of m**4/12 - m**2. Let b(t) = -5*t**2 + 40*t - 40. Let j(l) = -l + 1. Let y(s) = 3*b(s) + 120*j(s). Determine y(f(h)).
-60*h**2
Let g(c) = -c. Let d(x) = 74*x + 3. What is d(g(r))?
-74*r + 3
Let h(r) = 7*r. Let y(s) = -94*s**2. What is h(y(t))?
-658*t**2
Let l be 2 + -1 + 5 + 0. Suppose 3*j + l = 6*j. Let z(p) = -5*p**2 + 5*p**2 + p**j. Let o(h) = 3*h**2. Calculate z(o(f)).
9*f**4
Let q(x) = -181*x. Let o(t) = 3*t. Give q(o(r)).
-543*r
Let s(y) = -7*y - 3. Let r(j) = -19*j - 8. Let h(w) = -3*r(w) + 8*s(w). Let a(d) = -20*d**2. What is a(h(o))?
-20*o**2
Let c(h) be the second derivative of 3*h + 1/3*h**3 + 0 + 0*h**2. Let s(l) = l**2. Calculate s(c(j)).
4*j**2
Let j(r) = 2*r. Let x(b) = -6. Let u(s) = s + 5. Let q(z) = 6*u(z) + 5*x(z). Determine j(q(p)).
12*p
Let x(f) be the first derivative of 0*f + 1 - 5/2*f**2. Let p(h) = -2*h. What is p(x(w))?
10*w
Let b be (-6)/(-33) - 84/(-22). Let n(h) = -b*h + 5*h + 0*h. Let c(y) = 0 + 0 + 2*y**2. Give c(n(t)).
2*t**2
Let h(p) = -2*p. Let o(l) be the third derivative of 0 + 0*l + 1/6*l**4 + 0*l**3 - 2*l**2. Determine o(h(a)).
-8*a
Let y(c) = 2*c**2. Let k(o) = o**2 - 3. Let a(s) = s**2 - 14*s**2 + 11*s**2 + 7. Let u(i) = 3*a(i) + 7*k(i). Give y(u(r)).
2*r**4
Let x(j) = 11*j**2 + 8*j - 8. Let v(i) = 5*i + 5*i + 7*i**2 - 5 - 5*i. Let k(w) = 8*v(w) - 5*x(w). Let h(q) = -4*q**2. Give k(h(b)).
16*b**4
Let j(t) be the second derivative of t**3/6 - 7*t. Let m(y) = 3*y. Determine m(j(r)).
3*r
Let a(c) = 36*c**2 - 19*c**2 - 19*c**2. Let k(g) = -4*g**2. Calculate k(a(d)).
-16*d**4
Let w(i) = i. Let s(z) be the second derivative of z**7/1260 - z**4/12 + 3*z. Let g(b) be the third derivative of s(b). What is w(g(d))?
2*d**2
Let g(b) = -240*b. Let o(y) = -2*y. Give o(g(x)).
480*x
Let m(r) = r. Suppose 0 = 3*s + 2*s + 25, s - 11 = -4*w. Let v(d) = -2*d - w*d + 9*d. Determine m(v(g)).
3*g
Let y(n) = -10*n**2. Let u(h) be the second derivative of h**4/12 - 5*h**2/2 + 3*h. Let i(v) be the first derivative of u(v). Calculate i(y(d)).
-20*d**2
Let d(s) = 4*s. Let p(z) = 14*z + 3. What is d(p(r))?
56*r + 12
Let f(y) = -9*y. Let j(t) = 60*t**2 + t. Calculate f(j(q)).
-540*q**2 - 9*q
Let s be 16/6 - (-2)/6. Suppose 9*m - 3*i = 4*m + 233, 4*m - 4*i - 188 = 0. Let l(j) = s*j**2 - 46*j + m*j. Let x(k) = -2*k. Determine x(l(r)).
-6*r**2
Let y(j) = -4*j**2. Let t(z) = z**2. Let r(g) = 3*t(g) + y(g). Let m(b) = -17*b. Determine r(m(a)).
-289*a**2
Let p = -10 - -31/3. Let j(i) be the second derivative of p*i**3 + 0 - i + 0*i**2. Let k(w) = 2*w. Determine k(j(s)).
4*s
Suppose 0 = 2*t - 2*g - 158, -5*t - g = 39 - 416. Let m(b) = -t + b + 76. Let z(a) = a. Determine z(m(k)).
k
Let p(g) = 23*g**2 + 5. Let a(i) = i**2. What is a(p(s))?
529*s**4 + 230*s**2 + 25
Let o(s) = 64 - 33*s - 31 - 33. Let u(x) = -3*x**2. Determine u(o(r)).
-3267*r**2
Let m(n) = 15*n**2. Let y(s) = 18*s**2 + 1. Give y(m(p)).
4050*p**4 + 1
Let b(x) = -x. Let y(l) be the first derivative of l**5/15 + l**2/2 - 1. Let g(z) be the second derivative of y(z). Calculate g(b(i)).
4*i**2
Let h(a) = 3*a**2. Let l(s) = 4 - 1 - 3 + 2*s. Calculate l(h(w)).
6*w**2
Let g(z) = -25*z**2 - 3. Let a(t) = -2*t**2 - 11. Calculate a(g(p)).
-1250*p**4 - 300*p**2 - 29
Let o(v) = -v. Let p(u) = u + 0*u + 5 + 6*u. Let k(n) = 3*n + 2. Let z(d) = 5*k(d) - 2*p(d). Let f(q) = -q. Let l(j) = 2*f(j) + 3*z(j). Calculate o(l(w)).
-w
Let y(p) be the first derivative of -4*p**2 + 1. Let f(u) = 3*u + 5. Let z(t) = 2*t + 3. Let o(m) = 3*f(m) - 5*z(m). What is y(o(w))?
8*w
Let d(r) = -14*r**2. Let x(a) = -2*a. Let s(y) = -3*y. Let n(q) = -3*s(q) + 5*x(q). What is d(n(l))?
-14*l**2
Let a(u) = 2*u**2. Let n be 48/10 + (-1)/(-5). Suppose n*g + 4*l = -10, 1 = -2*g + 2*l - 3*l. Let h(i) = -g*i - i + 5*i. Give h(a(o)).
4*o**2
Let p(q) = -9*q + 15*q - 4*q. Let d(a) = 3*a - 5. Determine d(p(x)).
6*x - 5
Let y(i) = 9*i. Let d(l) = -22*l**2 + 48*l**2 - 23*l**2. Give d(y(m)).
243*m**2
Let y(q) = -18*q**2. Let n(u) = 34*u**2 - 2. What is y(n(r))?
-20808*r**4 + 2448*r**2 - 72
Let k(x) be the first derivative of -2*x**3 - 3. Let d(u) = -u**2. Determine k(d(v)).
-6*v**4
Suppose -v - 4*s - 4 = 14, 0 = -3*s - 15. Let a(d) = -3*d**v + 1 - 2*d**2 - 1. Let y(o) = -2*o. Calculate a(y(x)).
-20*x**2
Let m(g) = -g + 1799. Let v(c) = c. Give v(m(j)).
-j + 1799
Let a(z) = -z**2. Let h = 5 + 4. Suppose -53 = -4*v - h. Let o(r) = 0*r + 2*r - v + 11. What is o(a(i))?
-2*i**2
Let s(a) = -4*a**2. Let j(x) = -23*x**2 - 9*x. Let l(n) = -11*n**2 - 4*n. Let f(y) = 4*j(y) - 9*l(y). Calculate f(s(b)).
112*b**4
Let i(m) be the first derivative of m**2 - 6. Let d(n) = 18*n**2. What is i(d(s))?
36*s**2
Let f(l) = -l. Let w(b) = 2*b + 3. Let k(a) = 3*a + 5. Let n(c) = -3*k(c) + 5*w(c). Calculate n(f(j)).
-j
Let u(w) = -40*w**2. Let y(l) = -6*l. Let v(s) = -s. Let t(p) = -11*v(p) + 2*y(p). Determine t(u(h)).
40*h**2
Let m(y) be the second derivative of -y**4/6 + 11*y. Let c(x) = 9*x. What is m(c(z))?
-162*z**2
Let d(z) = -2*z. Let m(s) = -3*s**2 + 4*s - 4. Let c(p) = 5*p**2 - 7*p + 7. Let j(r) = -4*c(r) - 7*m(r). Calculate d(j(g)).
-2*g**2
Let m(x) = -1650*x. Let c(n) = -3*n. Determine c(m(q)).
4950*q
Let f(h) = -3*h. Let g(l) be the third derivative of 0 + 0*l**3 + 0*l**4 + 0*l - 1/60*l**5 - l**2. What is f(g(j))?
3*j**2
Let d(s) = -8*s. Let f(z) = 2*z**2 - 67*z. What is d(f(w))?
-16*w**2 + 536*w
Let q(r) be the second derivative of -r**4/24 - r**2/2 - 3*r. Let y(b) be the first derivative of q(b). Let h(w) = 2*w**2. Give h(y(d)).
2*d**2
Let s(o) = -9*o**2. Let k(j) = -65*j**2 + 8. Determine s(k(n)).
-38025*n**4 + 9360*n**2 - 576
Let k(f) = 2*f**2. Let m(q) = -2*q**2 + 14*q. What is m(k(o))?
-8*o**4 + 28*o**2
Let t(d) = 12*d**2 - 9*d. Let w(m) = m**2 - m. Let r(f) = t(f) - 9*w(f). Let g(a) = 7*a**2. Determine g(r(z)).
63*z**4
Let r(w) = 6*w**2 - 15 - 4*w**2 + 15. Let n(f) = 12*f**2. Determine r(n(z)).
288*z**4
Let s(g) = 2*g**2. Let p = -6 - -11. Let m(h) = -h**2. Let j(t) = -t**2. Let d(n) = p*m(n) - 3*j(n). Give d(s(u)).
-8*u**4
Let y(c) = c. Let s = -1 - -6. Let m(a) = 2*a + 5. Let u(i) = -2*i - 4. Let f(j) = s*u(j) + 4*m(j). Determine y(f(k)).
-2*k
Let g(c) = 2*c. Suppose d = 4*b, 3 = 4*d + 19. Let w = 25 + -26. Let j(p) = 1. Let
|
{
"pile_set_name": "DM Mathematics"
}
|
is the nearest to -11? (a) 17 (b) 3/7 (c) -4
c
Which is the nearest to 198/67? (a) 1 (b) 0.2 (c) -3 (d) 3 (e) 4
d
Which is the nearest to -0.08? (a) -4 (b) 3/7 (c) -22 (d) -106
b
Which is the nearest to -0.1? (a) -2/15 (b) 0.3 (c) 7.18 (d) 30
a
What is the nearest to 0.1 in 0.2, 0.016, 5/8, -3, -0.4?
0.016
What is the closest to -7 in 0, -0.2, 2/69, 18?
-0.2
Which is the nearest to -2/7? (a) 4 (b) 2/7 (c) -0.8 (d) -0.3
d
What is the closest to 2/5 in 4, -7255, 2/9?
2/9
What is the nearest to 1/4 in 4, -1.4, 3/26?
3/26
What is the nearest to 0 in 18/13, 2/29, -3/8, -1?
2/29
What is the closest to -685 in -3, 2/3, 0.2, -0.034, 3/4?
-3
Which is the nearest to -4916? (a) 5/2 (b) 0.2 (c) 4
b
Which is the nearest to 1/2? (a) -58/21 (b) 192 (c) -4 (d) -2/3
d
What is the nearest to 0.09 in -3, 0, -37?
0
What is the closest to 7 in 0.3, 15/8, 0.053, -2/15, -6?
15/8
What is the closest to -1 in 1, 0.1, 1/3, -0.0752?
-0.0752
Which is the closest to -0.03? (a) -0.5 (b) -2.1 (c) 3 (d) 0 (e) 4
d
Which is the closest to 0? (a) -26.08 (b) -5 (c) -28 (d) 1 (e) -2
d
What is the nearest to -346 in 0, 7/29, 2/3, -0.5?
-0.5
What is the nearest to -1 in 0.078, 10/13, 4, -1?
-1
What is the nearest to -1/3 in 0.3, -11.8, -0.027, -3/5?
-3/5
What is the closest to -1 in -5/6, -242, -9, 4?
-5/6
What is the nearest to -2/5 in -5/4, -2/15, 2, 3, -0.4?
-0.4
What is the closest to -2/5 in 1/5, 8, 9, -0.23, 2?
-0.23
What is the closest to -0.1 in -341, -1.1, 1/2, 4?
1/2
What is the nearest to -0.14 in 0.4, 1, 0.06, -0.5?
0.06
What is the nearest to -1 in -0.2, 0.1, 3?
-0.2
What is the nearest to 0 in 3/8, 1/5, 0.07, -3, -12.2?
0.07
What is the nearest to 2/5 in 0.5, 4, -1814, 0, -33/8?
0.5
Which is the nearest to 0? (a) 0.2826 (b) -71 (c) 3
a
What is the closest to 27 in 1.6, -0.06, -0.01?
1.6
What is the nearest to 1 in 0.6, -49/6, -4/7?
0.6
Which is the closest to -0.1? (a) 3 (b) 3837 (c) -4
a
What is the nearest to 4 in 1/4, -4/11, -0.3, -1/11?
1/4
What is the closest to 1 in 0.6, 2/69, 0.3, 17, -1/5?
0.6
Which is the nearest to -2/7? (a) 4 (b) 2/5 (c) 0.2 (d) 67 (e) 0.1
e
Which is the nearest to -1/3? (a) -3 (b) -1/6 (c) -0.4 (d) -3168 (e) -5
c
Which is the closest to -14? (a) 1 (b) 54 (c) 3 (d) 0.3 (e) -2
e
What is the nearest to 12 in 1/5, -1/1220, 0, 0.5?
0.5
Which is the closest to -79? (a) 2 (b) 0.016 (c) 3 (d) 2/3 (e) -4
e
What is the nearest to 117 in 1, -3, 7, 22?
22
What is the closest to 0 in 23157, 5, -3?
-3
What is the closest to -0.02 in -3/4, 27, -622?
-3/4
Which is the nearest to -0.09? (a) -9 (b) 0.4 (c) -5 (d) 2
b
What is the closest to -0.1 in 1/21, -0.5, -1/7, -4/9, 1/2?
-1/7
Which is the nearest to 2? (a) 0.5 (b) -2/9 (c) -13/3 (d) 88
a
Which is the closest to -168? (a) -0.9 (b) -0.5 (c) -3
c
Which is the closest to 8? (a) -2/7 (b) 0.4 (c) -384
b
Which is the closest to 52? (a) -0.23 (b) -4/3 (c) 0.3 (d) 1 (e) 0.4
d
What is the closest to 0 in 2, -9/4, 14, 1.2?
1.2
What is the closest to 1313 in 2/5, -0.5, 4.7?
4.7
What is the closest to 1 in 3, -28/3, -3?
3
What is the closest to 28 in -8, -13, -0.3, -6?
-0.3
Which is the closest to 0? (a) 0.4 (b) -0.35 (c) -2 (d) 0 (e) -4
d
Which is the nearest to -16? (a) 2 (b) 0.4 (c) -2/579 (d) 2/17 (e) -2
e
Which is the closest to 7? (a) 1.7 (b) 5 (c) -1/2 (d) 57
b
Which is the closest to -1? (a) 2 (b) 4/5 (c) -8730 (d) -0.1
d
Which is the nearest to 0.1? (a) -8/7 (b) -1/34 (c) 0.2
c
Which is the closest to -816/13? (a) 1 (b) 51 (c) -5 (d) 0.3
c
What is the nearest to 20 in -2/9, -10, 3?
3
Which is the closest to -2? (a) -3 (b) -9 (c) 3/5 (d) 28
a
What is the closest to -16 in 0, 0.5, -0.025, -0.4?
-0.4
Which is the closest to -1? (a) 4/3 (b) 148 (c) -23
a
What is the closest to 3/19 in -0.5, 3, -0.2, -8.5?
-0.2
What is the closest to 4 in -2/9, 1/2, -1, 0.16?
1/2
Which is the closest to 0? (a) -3 (b) -0.538 (c) -1/3
c
Which is the nearest to 3/4? (a) 3 (b) 4/33 (c) -0.4
b
What is the nearest to -1.4 in 2/11, -2/435, -0.5, 0.1, 1.3?
-0.5
Which is the nearest to -2/7? (a) 0 (b) -0.0503 (c) -2 (d) 7/3
b
Which is the closest to 0.94? (a) 70 (b) 3/4 (c) -0.1 (d) 2/9
b
What is the nearest to -20 in -2, -1/175, -1, 1/6?
-2
What is the closest to -1 in -11, -17725, 6/7?
6/7
What is the nearest to 2/3 in -1/6, 4, -5/7, -0.6, -1.33?
-1/6
Which is the closest to 1/5? (a) 1 (b) 0.4 (c) -1.34 (d) -2
b
What is the nearest to -0.1 in -5, 0.3, 63, -36?
0.3
What is the nearest to 0.056 in 0, -0.03, -1?
0
What is the closest to 0.05 in -0.004, -3, 0.06, -1?
0.06
Which is the nearest to 6? (a) -16/21 (b) -1/4 (c) -0.5 (d) -60 (e) 0
e
What is the nearest to 0.2 in -2936, 1/6, 0.3?
1/6
What is the closest to 0.2 in -1, -0.2, 13161, -0.3?
-0.2
Which is the closest to 8636? (a) 3 (b) 18 (c) 0
b
What is the nearest to -1/4 in -2/11, -1, -0.5, 3/4, -133?
-2/11
Which is the closest to 0.5? (a) 3/4 (b) 2/9 (c) -1/4 (d) 17
a
Which is the nearest to 0.1? (a) 4/7 (b) 4 (c) 6656 (d) 2/3
a
What is the closest to 0 in 2/21, -2/7, -4, 1.3?
2/21
Which is the closest to 11? (a) -0.4 (b) -21 (c) -119 (d) -4 (e) 0.2
e
What is the nearest to 0.1 in 6/71, 3/4, -0.08, 1/11, 0?
1/11
Which is the nearest to -1? (a) 11 (b) -10 (c) 3/13 (d) 0.9
c
Which is the nearest to -2/7? (a) -0.07 (b) 5 (c) 1.2 (d) -1 (e) 10
a
What is the closest to 3 in -0.1, 494, -5/2, -5, -4?
-0.1
Which is the nearest to 1? (a) 0 (b) -2.62 (c) 0.08 (d) 1/6
d
What is the closest to 1/3 in -0.27, 3, 1/3558?
1/3558
What is the closest to 2 in -0.3, -1, 4, 0.453, 2?
2
What is the closest to 0 in 2/17, 5, 13.1, -2/11?
2/17
What is the closest to -2 in -0.3, 2/5, 56, -1?
-1
What is the closest to -610 in -5/4, -1.2, 2/7?
-5/4
What is the nearest to -1/5 in 0.5, 0.27, -0.83, -9/7?
0.27
Which is the nearest to -1? (a) 0.2545 (b) -2/11 (c) -3/4
c
What is the closest to -1 in 0, 2, -0.5, 1/6, -0.18?
-0.5
Which is the closest to 1/11? (a) -2 (b) -0.1 (c) -7/5
b
What is the nearest to 23.8 in -0.4, 0.4, -0.5?
0.4
Which is the closest to 4? (a) 2/29 (b) 2.3 (c) -2 (d) -8/5
b
What is the closest to -21 in 0.4, -0.5, 20, 0.3?
-0.5
What is the nearest to -3 in -42, -29, -4, -1/3?
-4
What is the nearest to 0.1 in -2, -7, 16, 0, 5?
0
What is the nearest to -4/9 in -6/107, -2/7, -161, -3/4?
-2/7
What is the nearest to -0.1 in -0.022, -0.069, -4?
-0.069
What is the nearest to -0.1 in 254/23, -2/11, 11/6?
-2/11
What is the nearest to 1 in -716, -0.4, -1/10, 1/36?
1/36
Which is the nearest to 0? (a) 0.3 (b) -0.5 (c) 2/129 (d) -3 (e) -46
c
Which is the nearest to -0.54? (a) -1/14 (b) -0.1 (c) 0.03 (d) 23 (e) -1
b
What is the closest to 3 in 18, 1, 2/141, -0.4, 78?
1
Which is the closest to -1? (a) -1/8 (b) 3.9 (c) 48 (d) 0.2 (e) 2
a
Which is the closest to 19? (a) -1.4 (b) -6 (c) -2/7 (d) -18
c
What is the closest to 2/3 in -0.11, 5, -975?
-0.11
Which is the nearest to -0.1? (a) 22 (b) -4/3 (c) 16/9
b
Which is the nearest to -2138? (a) 0 (b) -1 (c) -0.2 (d) 9 (e) 2/9
b
Which is the closest to -3/317? (a) -3 (b) -2 (c) 2/25 (d) 0.004
d
What is the nearest to -0.4 in -83, -0.06, 0.04, -0.2, -0.3?
-0.3
Which is the nearest to -12/5? (a) -97/10 (b) 9 (c) 3
c
What is the closest to -8/27561 in -5, -3/7, 0?
0
Which is the nearest to 0.1? (a) 9/4 (b) -0.2 (c) 0.1 (d) 111
c
What is the nearest to 51/4 in 11, -0.3, 0?
11
What is the nearest to 2 in 0.06, -1/2, -0.14, -1/4, -3?
0.06
Which is the nearest to -2? (a) 4 (b) -11 (c) 20
a
What is the closest to -244 in 166, -2/3, -2?
-2
What is the nearest to 0.6 in 1/15, -2/27, 4/15, -2/11, 6?
4/15
Which is the closest to -69? (a) -0.027 (b) 5 (c) 9/7 (d) -3 (e) 0.5
d
Which is the nearest to -3/2? (a) -4/5 (b) 11 (c) -2.1 (d) -1/4 (e) -3
c
What is the nearest to 1/3 in -0.3, 3, -23, 0.8?
0.8
What is the closest to 1/2 in 1, -0.4, -3/4, -2, -0.5?
1
Which is the nearest to -0.1? (a) 2 (b) -2/23 (c) 3/5 (d) 4
b
What is the closest to -0.24 in 69, 0.4, 0, 2?
0
What is the nearest to -6 in -3, 5, -94?
-3
What is the closest to 2 in -69, 59, 0.3?
0.3
What is the nearest to -2/125 in -4, -6505, 1/12?
1/12
What is the nearest to -23 in 50, 2, 0
|
{
"pile_set_name": "DM Mathematics"
}
|
hundred thousand?
318200000
Round 0.000099677114 to 6 decimal places.
0.0001
Round 0.02046181307 to 4 dps.
0.0205
Round 0.142879167 to five decimal places.
0.14288
Round -12333.396897 to the nearest ten.
-12330
What is 11732.7373 rounded to the nearest ten?
11730
What is -3349203720 rounded to the nearest 100000?
-3349200000
Round -360406094.4 to the nearest one hundred thousand.
-360400000
Round -43364740.2 to the nearest 100000.
-43400000
What is -71.984622 rounded to the nearest 10?
-70
Round 28438.84959 to the nearest integer.
28439
Round 0.06035854742 to six dps.
0.060359
What is 472682.7024 rounded to the nearest one hundred thousand?
500000
What is -12429.4708 rounded to zero dps?
-12429
Round 0.1957893 to 2 dps.
0.2
Round 297.628507 to 1 decimal place.
297.6
Round 3353.02952 to 0 decimal places.
3353
Round 6113086.17 to the nearest one thousand.
6113000
Round 0.4313723943 to two dps.
0.43
What is -30306.5109 rounded to the nearest 10?
-30310
What is 4.7347696 rounded to 0 dps?
5
Round -0.000008828267927 to 6 decimal places.
-0.000009
What is -20438.229 rounded to the nearest one thousand?
-20000
Round 147081079.8 to the nearest ten thousand.
147080000
Round -1227.742968 to 2 decimal places.
-1227.74
Round 74408140.43 to the nearest 1000000.
74000000
What is 22555911.83 rounded to the nearest one thousand?
22556000
What is -1958089.852 rounded to the nearest 100000?
-2000000
What is -0.00021978313 rounded to four decimal places?
-0.0002
Round -0.1202503931 to five dps.
-0.12025
Round -48049591.7 to the nearest one million.
-48000000
What is -1.0026322 rounded to one dp?
-1
Round -0.0000300404757 to 5 dps.
-0.00003
What is -78821.98 rounded to the nearest one hundred?
-78800
What is -6224407.52 rounded to the nearest 1000?
-6224000
What is 389891971 rounded to the nearest one hundred thousand?
389900000
Round 912739859 to the nearest ten thousand.
912740000
What is -0.001747597836 rounded to four dps?
-0.0017
Round 558057.563 to the nearest 100.
558100
What is 3128142360 rounded to the nearest one million?
3128000000
Round -38047.26883 to the nearest one thousand.
-38000
Round 16.268735 to the nearest integer.
16
Round 2234.873057 to two decimal places.
2234.87
Round 2.2140633275 to four dps.
2.2141
Round -0.001183094458 to 4 dps.
-0.0012
Round -66417534.8 to the nearest 10000.
-66420000
What is -1095821300 rounded to the nearest 1000000?
-1096000000
What is -22.0629407 rounded to 1 dp?
-22.1
Round -714.25584 to the nearest integer.
-714
Round 20679.8399 to the nearest one hundred.
20700
What is -0.0001369372342 rounded to five decimal places?
-0.00014
What is 405914.27 rounded to the nearest one hundred thousand?
400000
What is -0.1580564395 rounded to two decimal places?
-0.16
Round 0.00313460844 to 4 decimal places.
0.0031
Round 1.838128815 to the nearest integer.
2
Round -0.000711173211 to six dps.
-0.000711
What is 18384970.6 rounded to the nearest one million?
18000000
What is 0.0296661394 rounded to two decimal places?
0.03
Round 0.01460961927 to four decimal places.
0.0146
Round 3.8190671 to 1 decimal place.
3.8
What is 4.06349838 rounded to 2 decimal places?
4.06
Round -0.000052263868 to 5 dps.
-0.00005
Round -8.74827032 to zero dps.
-9
Round -0.083573759 to 5 dps.
-0.08357
What is 0.00389602737 rounded to 6 decimal places?
0.003896
Round 7.97385076 to 1 decimal place.
8
Round 0.063610144 to 2 dps.
0.06
What is -5502966.363 rounded to the nearest one thousand?
-5503000
Round -2.227646 to three dps.
-2.228
What is 8004344.672 rounded to the nearest 100000?
8000000
What is 994264.72 rounded to the nearest 10000?
990000
Round 0.000031404348 to 5 decimal places.
0.00003
Round -95.538458 to the nearest ten.
-100
Round 22391.1106 to the nearest 10.
22390
Round 17948.9728 to the nearest one hundred.
17900
What is 1.63522624 rounded to 3 dps?
1.635
Round -0.33301517 to 3 dps.
-0.333
What is -428216.308 rounded to the nearest 1000000?
0
Round -2.947456448 to 4 dps.
-2.9475
What is 0.00019731715 rounded to 5 decimal places?
0.0002
Round 26336105230 to the nearest one million.
26336000000
What is 16339.6426 rounded to the nearest 10?
16340
What is 0.000440186654 rounded to 7 decimal places?
0.0004402
Round -0.00002201783467 to six dps.
-0.000022
What is -0.00000011503956 rounded to 6 dps?
0
What is -0.000000464622784 rounded to seven decimal places?
-0.0000005
Round 0.000559022525 to 7 dps.
0.000559
Round -0.114297929 to two decimal places.
-0.11
What is -13.41500643 rounded to three decimal places?
-13.415
Round -0.1657094992 to four dps.
-0.1657
What is -69.4150392 rounded to 3 dps?
-69.415
Round -88.837476 to 1 decimal place.
-88.8
What is 1.75157144 rounded to one decimal place?
1.8
What is 0.00148139247 rounded to four decimal places?
0.0015
What is 12512.9209 rounded to the nearest integer?
12513
What is 15147826210 rounded to the nearest one million?
15148000000
What is -0.0352593899 rounded to 5 dps?
-0.03526
Round -0.393280437 to 3 dps.
-0.393
Round -6758453.56 to the nearest one hundred.
-6758500
What is -8703396.58 rounded to the nearest 1000000?
-9000000
Round 1461.83283 to one dp.
1461.8
Round 5092.213377 to one dp.
5092.2
Round -464554.9404 to the nearest 100000.
-500000
Round -0.0006452571738 to 4 dps.
-0.0006
Round 0.01559208342 to five decimal places.
0.01559
What is -83855.32 rounded to the nearest ten?
-83860
What is -47038699.54 rounded to the nearest 10000?
-47040000
Round 1675423780.4 to the nearest one hundred thousand.
1675400000
What is 5.581132952 rounded to the nearest integer?
6
What is 6129.90369 rounded to the nearest 1000?
6000
Round -0.0000608304952 to 6 decimal places.
-0.000061
What is 0.000043780303 rounded to 7 decimal places?
0.0000438
What is 0.000000440360851 rounded to 7 dps?
0.0000004
What is -0.0405037997 rounded to 5 decimal places?
-0.0405
What is 26143518.9 rounded to the nearest one million?
26000000
Round 0.21503298199 to 5 decimal places.
0.21503
What is 0.000007285113503 rounded to 6 dps?
0.000007
What is -2276473967 rounded to the nearest 100000?
-2276500000
What is 0.0000489519967 rounded to seven dps?
0.000049
What is -15766.4685 rounded to the nearest one thousand?
-16000
What is 102033.23 rounded to the nearest one hundred?
102000
Round -220.25765 to 1 decimal place.
-220.3
Round -115.58485 to one dp.
-115.6
What is -0.804902535 rounded to three dps?
-0.805
What is -5624711.36 rounded to the nearest 1000?
-5625000
Round -0.00002845551461 to six dps.
-0.000028
What is 0.0068240421 rounded to four dps?
0.0068
Round -29463.992011 to the nearest integer.
-29464
What is 45092038.9 rounded to the nearest one million?
45000000
What is 0.026729851 rounded to five dps?
0.02673
What is -45349.08059 rounded to the nearest one thousand?
-45000
What is -0.0116185696 rounded to four decimal places?
-0.0116
What is 9.305091525 rounded to the nearest integer?
9
What is -2796310.53 rounded to the nearest 100000?
-2800000
Round 294111037.6 to the nearest 1000000.
294000000
Round 0.06343676564 to two dps.
0.06
What is -711.2897122 rounded to zero decimal places?
-711
What is 78726831 rounded to the nearest ten thousand?
78730000
Round 0.002594651142 to three dps.
0.003
Round 0.00004340790658 to five decimal places.
0.00004
Round -370133.84 to the nearest ten thousand.
-370000
Round 4738717.728 to the nearest 1000000.
5000000
Round -10669.7962 to the nearest 1000.
-11000
Round -72575561.2 to the nearest one million.
-73000000
What is 19791099 rounded to the nearest 1000000?
20000000
What is 0.0040826367 rounded to 3 dps?
0.004
Round 0.00730858824 to 6 dps.
0.007309
Round 0.0915159462 to 5 dps.
0.09152
What is 125942235 rounded to the nearest 1000000?
126000000
Round -0.00006477139158 to five dps.
-0.00006
What is -28.21074228 rounded to three dps?
-28.211
What is 0.000260431915 rounded to seven dps?
0.0002604
Round 305239.358 to the nearest 10.
305240
Round -10717793.6 to the nearest one thousand.
-10718000
What is -11.702144582 rounded to 3 dps?
-11.702
Round -77188556.4 to the nearest ten thousand.
-77190000
What is 316927.9 rounded to the nearest 1000?
317000
Round 23528.534 to the nearest 100.
23500
Round 141.761844 to 0 dps.
142
Round 35.637355 to the nearest 10.
40
Round -2072903920 to the near
|
{
"pile_set_name": "DM Mathematics"
}
|
-64 (base 12) in base 3?
-2211
What is -4 (base 11) in base 7?
-4
Convert 109 (base 10) to base 8.
155
What is -333 (base 5) in base 8?
-135
-21120 (base 3) to base 12
-150
6 (base 9) to base 6
10
Convert -2 (base 14) to base 2.
-10
What is -1 (base 11) in base 14?
-1
Convert 3 (base 9) to base 8.
3
-42 (base 10) to base 5
-132
What is -5 (base 12) in base 10?
-5
16 (base 15) to base 2
10101
Convert -1 (base 4) to base 12.
-1
-10 (base 5) to base 6
-5
5 (base 14) to base 2
101
Convert -152 (base 11) to base 8.
-262
-200 (base 9) to base 12
-116
Convert 2 (base 10) to base 16.
2
Convert -14 (base 7) to base 8.
-13
-2200 (base 4) to base 6
-424
What is 4 (base 9) in base 4?
10
-4 (base 13) to base 8
-4
Convert 110 (base 2) to base 3.
20
Convert -2 (base 10) to base 5.
-2
0 (base 14) to base 8
0
What is -a (base 13) in base 8?
-12
Convert a1 (base 11) to base 10.
111
What is 0 (base 4) in base 2?
0
Convert 434 (base 5) to base 14.
87
What is -314 (base 8) in base 15?
-d9
Convert -33 (base 4) to base 12.
-13
What is 46 (base 7) in base 5?
114
What is 0 (base 6) in base 2?
0
Convert 3 (base 6) to base 8.
3
1 (base 6) to base 12
1
Convert b9 (base 12) to base 16.
8d
Convert -310 (base 6) to base 5.
-424
What is -1 (base 2) in base 15?
-1
What is 340 (base 6) in base 3?
11220
4e (base 16) to base 8
116
What is 58 (base 13) in base 9?
81
Convert -3 (base 8) to base 14.
-3
Convert -f (base 16) to base 15.
-10
-1 (base 6) to base 7
-1
Convert -412 (base 5) to base 16.
-6b
Convert -29 (base 14) to base 11.
-34
What is -2 (base 6) in base 2?
-10
What is -da (base 14) in base 11?
-165
Convert 4 (base 6) to base 4.
10
Convert 4 (base 14) to base 5.
4
Convert 201 (base 4) to base 8.
41
-3 (base 14) to base 8
-3
What is -145 (base 7) in base 15?
-57
Convert 122 (base 4) to base 8.
32
3 (base 12) to base 3
10
-2 (base 5) to base 11
-2
What is -1000 (base 3) in base 7?
-36
-28 (base 9) to base 14
-1c
Convert -4 (base 6) to base 8.
-4
What is 2 (base 8) in base 13?
2
7 (base 16) to base 9
7
10010 (base 2) to base 11
17
What is -110 (base 2) in base 13?
-6
Convert -4 (base 9) to base 16.
-4
Convert -103 (base 9) to base 11.
-77
-1 (base 8) to base 2
-1
What is -6 (base 14) in base 6?
-10
Convert 6 (base 14) to base 9.
6
-3 (base 11) to base 2
-11
77 (base 10) to base 14
57
-123 (base 5) to base 9
-42
1a (base 11) to base 12
19
Convert -14 (base 6) to base 3.
-101
203 (base 6) to base 13
5a
1 (base 12) to base 10
1
Convert 2 (base 16) to base 10.
2
2 (base 4) to base 6
2
What is 1 (base 15) in base 4?
1
What is 0 (base 7) in base 5?
0
Convert 1303 (base 6) to base 3.
110010
-102 (base 3) to base 4
-23
210 (base 5) to base 4
313
What is -1 (base 3) in base 4?
-1
What is -1 (base 3) in base 11?
-1
Convert -1010 (base 2) to base 12.
-a
Convert 15 (base 15) to base 7.
26
What is 100 (base 2) in base 10?
4
What is -d6 (base 16) in base 12?
-15a
-1 (base 15) to base 16
-1
-2 (base 13) to base 2
-10
Convert -13 (base 5) to base 3.
-22
Convert -2 (base 10) to base 7.
-2
Convert -2 (base 15) to base 9.
-2
What is -110000 (base 2) in base 16?
-30
-1 (base 3) to base 16
-1
Convert 152 (base 14) to base 3.
100221
Convert -14 (base 16) to base 6.
-32
Convert 13 (base 12) to base 11.
14
What is 316 (base 8) in base 12?
152
-4 (base 15) to base 11
-4
What is 3 (base 4) in base 14?
3
0 (base 5) to base 16
0
What is 1 (base 9) in base 13?
1
6 (base 7) to base 12
6
What is 2 (base 13) in base 10?
2
125 (base 7) to base 12
58
What is 2 (base 5) in base 13?
2
What is -1210 (base 6) in base 4?
-10212
Convert 14 (base 15) to base 12.
17
52 (base 8) to base 4
222
Convert -36 (base 11) to base 10.
-39
-2 (base 12) to base 9
-2
Convert -20 (base 11) to base 3.
-211
Convert -20201 (base 3) to base 14.
-cd
Convert 27 (base 11) to base 6.
45
What is -5 (base 9) in base 6?
-5
What is 111 (base 3) in base 13?
10
Convert 2 (base 3) to base 16.
2
Convert 3 (base 13) to base 4.
3
-1b (base 14) to base 16
-19
What is -1 (base 8) in base 3?
-1
What is 5 (base 7) in base 14?
5
Convert 64 (base 8) to base 2.
110100
105 (base 7) to base 15
39
Convert -22 (base 13) to base 3.
-1001
Convert 100 (base 2) to base 10.
4
What is -8 (base 10) in base 3?
-22
What is -2 (base 10) in base 7?
-2
-32 (base 13) to base 10
-41
What is -1 (base 7) in base 2?
-1
Convert 0 (base 7) to base 9.
0
Convert -5 (base 11) to base 5.
-10
What is -34 (base 12) in base 6?
-104
Convert -42 (base 5) to base 13.
-19
Convert 11 (base 2) to base 16.
3
Convert -231 (base 11) to base 8.
-424
Convert -225 (base 7) to base 9.
-140
-241 (base 8) to base 16
-a1
Convert 58 (base 15) to base 5.
313
Convert -1 (base 2) to base 15.
-1
-15 (base 9) to base 10
-14
-a (base 15) to base 14
-a
Convert 1 (base 11) to base 2.
1
Convert 1b (base 13) to base 15.
19
Convert -1 (base 10) to base 12.
-1
Convert -64 (base 10) to base 3.
-2101
What is -2222 (base 3) in base 5?
-310
Convert -86 (base 13) to base 10.
-110
0 (base 15) to base 3
0
What is -1112 (base 3) in base 4?
-221
Convert 112 (base 13) to base 8.
270
What is 34 (base 14) in base 13?
37
What is 3a (base 16) in base 12?
4a
What is 101 (base 7) in base 14?
38
55 (base 12) to base 2
1000001
What is -13 (base 12) in base 2?
-1111
Convert -46 (base 11) to base 5.
-200
Convert -47 (base 12) to base 2.
-110111
Convert 3 (base 15) to base 14.
3
What is -43 (base 5) in base 11?
-21
What is 2 (base 13) in base 8?
2
Convert -37 (base 12) to base 6.
-111
Convert -2 (base 9) to base 16.
-2
What is 233 (base 4) in base 2?
101111
What is -2 (base 12) in base 16?
-2
Convert -1010 (base 2) to base 11.
-a
What is -4 (base 7) in base 14?
-4
What is 4 (base 6) in base 4?
10
0 (base 8) to base 14
0
-2 (base 11) to base 6
-2
Convert 20 (base 6) to base 3.
110
What is -12 (base 7) in base 3?
-100
12 (base 15) to base 5
32
Convert -15 (base 8) to base 5.
-23
What is 87 (base 12) in base 13?
7c
What is 5 (base 9) in base 15?
5
What is 2 (base 4) in base 12?
2
What is -102 (base 4) in base 15?
-13
What is 2 (base 7) in base 5?
2
-9 (base 16) to base 14
-9
What is -20 (base 14) in base 12?
-24
What is 12 (base 4) in base 12?
6
What is -11 (base 4) in base 7?
-5
-2023 (base 5) to base 7
-524
2 (base 11) to base 6
2
16 (base 12) to base 5
33
What is -6 (base 14) in base 13?
-6
What is -10 (base 12) in base 15?
-c
Convert -65 (base 8) to base 13.
-41
-29 (base 14) to base 2
-100101
Convert d (base 16) to base 10.
13
22 (base 6) to base 15
e
70 (base 9) to base 10
63
What is 10 (base 10) in base 2?
1010
-327 (base 9) to base 5
-2033
Convert -5 (base 11) to base 13.
-5
What is -20 (base 10) in base 7?
-26
Convert 34 (base 10) to base 9.
37
Convert -3 (base 4) to base 13.
-3
Convert -3 (base 16) to base 7.
-3
Convert 0 (base 3) to base 11.
0
What is -7 (base 10) in base 4?
-13
Convert 64 (base 9) to base 5.
213
Convert 101 (base 3) to base 7.
13
Convert 11 (base 13) to base 5.
24
Convert 2 (base 4) to base 13.
2
What is 100011 (base 2) in base 13?
29
-1 (base 14) to base 10
-1
10001 (base 2) to base 5
32
Convert 2 (base 10) to base 7.
2
What is 19 (base 12) in base 6?
33
-11 (base 14) to base 16
-f
11 (base 9) to base 12
a
What is -22 (base 16) in base 12?
-2a
Convert 3 (base 13) to base 14.
3
What is a (base 14) in base 12?
a
16 (base 9) to base 10
15
1035 (base 6) to base 15
10e
Convert -6 (base 7) to base 13.
-6
41 (base 9) to base 7
52
Convert 3 (base 5) to base 14.
3
69 (base 11) to base 2
1001011
Convert 2 (base 10) to base 14.
2
0 (base 4) to base 2
0
What is -1201 (base 3) in base 14?
-34
Convert -16 (base 11) to base 4.
-101
Convert -32 (base 9) to base 10.
-29
What is 55 (base 12) in base 9?
72
-4 (base 8) to base 7
-4
-41 (base 5) to base 3
-210
-45 (base 10) to base 15
-30
What is -22 (base 4) in base 8?
-12
Convert -13 (base 5) to base 3.
-22
Convert 7 (base 9) to base 10.
7
What is 11 (base 11) in base 2?
1100
What is 11 (base 12) in base 5?
23
111 (base 3) to base 15
d
What is 79 (base 12) in base 14?
69
-3 (base 16) to base 5
-3
Convert -14 (base 5) to base 4.
-21
Convert 3 (base 15) to base 5.
3
What is 1101010 (base 2) in base 3?
10221
What is -28 (base 9) in base 2?
-11010
2 (base 14) to base 9
2
Convert -24 (base 16) to base 4.
-210
-72 (base 9) to base 11
-5a
-22201 (base 3) to base 13
-151
Conve
|
{
"pile_set_name": "DM Mathematics"
}
|
25
What is the p'th term of 56, 53, 48, 41, 32, 21, 8?
-p**2 + 57
What is the j'th term of 20, 24, 40, 74, 132?
j**3 - 3*j + 22
What is the k'th term of 650, 1299, 1948, 2597, 3246?
649*k + 1
What is the v'th term of 56, 59, 72, 101, 152, 231, 344?
v**3 - v**2 - v + 57
What is the y'th term of 614, 569, 450, 221, -154, -711, -1486?
-6*y**3 - y**2 + 621
What is the n'th term of -72, 45, 162, 279, 396, 513?
117*n - 189
What is the p'th term of 90, 467, 1088, 1947, 3038, 4355, 5892?
-p**3 + 128*p**2 - 37
What is the y'th term of -1489, -5971, -13451, -23935, -37429, -53939?
-y**3 - 1493*y**2 + 4*y + 1
What is the x'th term of 32, 62, 96, 134?
2*x**2 + 24*x + 6
What is the h'th term of 1455, 1457, 1457, 1455, 1451?
-h**2 + 5*h + 1451
What is the h'th term of -298, -292, -286, -280, -274, -268?
6*h - 304
What is the s'th term of -123, -502, -1139, -2034?
-129*s**2 + 8*s - 2
What is the c'th term of -6, -11, -20, -33?
-2*c**2 + c - 5
What is the c'th term of -30266, -30267, -30268, -30269, -30270?
-c - 30265
What is the m'th term of -23361, -23365, -23371, -23379?
-m**2 - m - 23359
What is the k'th term of 6, 15, 24, 33, 42?
9*k - 3
What is the n'th term of 516, 515, 514?
-n + 517
What is the d'th term of 23, 35, 37, 29?
-5*d**2 + 27*d + 1
What is the r'th term of 32, 39, 48, 59, 72, 87, 104?
r**2 + 4*r + 27
What is the b'th term of -16, -95, -228, -415, -656, -951?
-27*b**2 + 2*b + 9
What is the z'th term of -19, -20, -21, -22?
-z - 18
What is the i'th term of 674, 678, 682, 686, 690?
4*i + 670
What is the v'th term of -14579, -29156, -43733, -58310?
-14577*v - 2
What is the l'th term of -288, -286, -276, -252, -208, -138?
l**3 - 2*l**2 + l - 288
What is the q'th term of 39, 52, 67, 84, 103?
q**2 + 10*q + 28
What is the y'th term of -177, -192, -207, -222, -237, -252?
-15*y - 162
What is the a'th term of 3, 9, 17, 27?
a**2 + 3*a - 1
What is the s'th term of 78, 139, 178, 183, 142, 43, -126, -377?
-2*s**3 + s**2 + 72*s + 7
What is the p'th term of 2, 4, 4, 2, -2, -8?
-p**2 + 5*p - 2
What is the u'th term of 143, 279, 415?
136*u + 7
What is the t'th term of 29, 101, 221, 389, 605, 869, 1181?
24*t**2 + 5
What is the z'th term of -13, 3, 31, 71?
6*z**2 - 2*z - 17
What is the s'th term of -4, 18, 48, 92, 156, 246, 368, 528?
s**3 - 2*s**2 + 21*s - 24
What is the o'th term of 6, -163, -454, -873, -1426, -2119?
-o**3 - 55*o**2 + 3*o + 59
What is the r'th term of -43, -86, -129, -172, -215?
-43*r
What is the i'th term of 148, 593, 1334, 2371, 3704, 5333?
148*i**2 + i - 1
What is the x'th term of -9, -33, -69, -117, -177, -249?
-6*x**2 - 6*x + 3
What is the c'th term of -34, -39, -44, -49, -54, -59?
-5*c - 29
What is the c'th term of 139, 140, 143, 148?
c**2 - 2*c + 140
What is the q'th term of 13, 25, 37, 49?
12*q + 1
What is the n'th term of -127, -138, -157, -184, -219, -262, -313?
-4*n**2 + n - 124
What is the l'th term of 18, 23, 32, 45, 62, 83?
2*l**2 - l + 17
What is the w'th term of 19, 47, 65, 67, 47, -1, -83, -205?
-w**3 + w**2 + 32*w - 13
What is the n'th term of 1924, 1920, 1916?
-4*n + 1928
What is the c'th term of 43, 48, 55, 64, 75?
c**2 + 2*c + 40
What is the j'th term of 759, 765, 771, 777, 783, 789?
6*j + 753
What is the h'th term of -24, -156, -514, -1212, -2364, -4084, -6486?
-19*h**3 + h**2 - 2*h - 4
What is the f'th term of 39, 58, 77, 96?
19*f + 20
What is the r'th term of 264, 265, 268, 273, 280?
r**2 - 2*r + 265
What is the j'th term of 130, 170, 232, 310, 398, 490, 580, 662?
-j**3 + 17*j**2 - 4*j + 118
What is the v'th term of 158, 176, 206, 254, 326?
v**3 + 11*v + 146
What is the o'th term of -8, -63, -224, -545, -1080?
-9*o**3 + o**2 + 5*o - 5
What is the h'th term of -60, -95, -162, -267, -416, -615, -870?
-h**3 - 10*h**2 + 2*h - 51
What is the j'th term of -7812, -7816, -7830, -7860, -7912, -7992, -8106?
-j**3 + j**2 - 7812
What is the l'th term of -29, -32, -35, -38, -41?
-3*l - 26
What is the s'th term of 1357, 1360, 1365, 1372, 1381?
s**2 + 1356
What is the d'th term of 165, 322, 479?
157*d + 8
What is the a'th term of 15, 38, 61?
23*a - 8
What is the u'th term of 3105, 3097, 3085, 3069?
-2*u**2 - 2*u + 3109
What is the p'th term of -243, -246, -249, -252?
-3*p - 240
What is the i'th term of -1560, -1558, -1546, -1518, -1468, -1390, -1278, -1126?
i**3 - i**2 - 2*i - 1558
What is the q'th term of -336, -334, -332, -330, -328?
2*q - 338
What is the t'th term of 1, -7, -15, -23?
-8*t + 9
What is the m'th term of 314, 616, 916, 1214, 1510, 1804, 2096?
-m**2 + 305*m + 10
What is the y'th term of 20, 46, 90, 152, 232, 330, 446?
9*y**2 - y + 12
What is the a'th term of -11094, -11093, -11092, -11091, -11090?
a - 11095
What is the d'th term of -5, -113, -395, -935, -1817, -3125, -4943, -7355?
-14*d**3 - 3*d**2 - d + 13
What is the k'th term of 56, 154, 252?
98*k - 42
What is the g'th term of 73, 56, 13, -74, -223, -452, -779?
-3*g**3 + 5*g**2 - 11*g + 82
What is the n'th term of -4762, -4764, -4766, -4768?
-2*n - 4760
What is the j'th term of -1, 7, 17, 29?
j**2 + 5*j - 7
What is the c'th term of 2420, 4843, 7266, 9689?
2423*c - 3
What is the x'th term of -21, -20, -19, -18, -17, -16?
x - 22
What is the g'th term of 1947, 1961, 1989, 2037, 2111, 2217, 2361, 2549?
g**3 + g**2 + 4*g + 1941
What is the n'th term of -4321, -4332, -4357, -4402, -4473?
-n**3 - n**2 - n - 4318
What is the i'th term of 1, 62, 229, 556, 1097, 1906, 3037?
9*i**3 - i**2 + i - 8
What is the d'th term of 251, 259, 281, 323, 391, 491, 629, 811?
d**3 + d**2 - 2*d + 251
What is the w'th term of 11215, 11207, 11185, 11143, 11075, 10975, 10837, 10655?
-w**3 - w**2 + 2*w + 11215
What is the w'th term of -112, -151, -190?
-39*w - 73
What is the d'th term of -169, -166, -165, -166?
-d**2 + 6*d - 174
What is the x'th term of 1018, 1026, 1048, 1090, 1158?
x**3 + x**2 - 2*x + 1018
What is the p'th term of -328, -1286, -2890, -5146, -8060, -11638?
-p**3 - 317*p**2 - 10
What is the r'th term of 19, 16, 13, 10, 7, 4?
-3*r + 22
What is the b'th term of 18, 59, 134, 249, 410, 623, 894, 1229?
b**3 + 11*b**2 + b + 5
What is the b'th term of 10, 28, 68, 142, 262, 440, 688, 1018?
2*b**3 - b**2 + 7*b + 2
What is the n'th term of -735, -737, -739, -741, -743, -745?
-2*n - 733
What is the u'th term of -576, -553, -494, -381, -196, 79, 462?
3*u**3 + 2*u - 581
What is the k'th term of -11, -31, -57, -89, -127, -171, -221?
-3*k**2 - 11*k + 3
What is the p'th term of 130, 277, 454, 667, 922?
p**3 + 9*p**2 + 113*p + 7
What is the b'th term of 52, 105, 182, 295, 456, 677, 970?
2*b**3 + 39*b + 11
What is the b'th term of -95, -184, -273, -362?
-89*b - 6
What is the w'th term of 171, 696, 1579, 2826, 4443, 6436?
w**3 + 173*w**2 - w - 2
What is the t'th term of 412, 762, 1112, 1462, 1812, 2162?
350*t + 62
What is the f'th term of -143, -181, -219, -257, -295?
-38*f - 105
What is the y'th term of -38, -68, -98?
-30*y - 8
What is the a'th term of -1165, -2332, -3499, -4666?
-1167*a + 2
What is the o'th term of -57, -24, 57, 210, 459?
4*o**3 + 5*o - 66
What is the y'th term of -2445, -4892, -7339, -9786, -12233, -14680?
-2447*y + 2
What is the d'th term of -85, -692, -2341, -5554, -10853?
-87*d**3 + d**2 - d + 2
What is the w'th term of -3, 50, 173, 396, 749, 1262, 1965, 2888?
5*w**3 + 5*w**2 + 3*w - 16
What is the c'th term of 2659, 2657, 2655, 2653?
-2*c + 2661
What is the s'th term of -2134, -4268, -6402, -8536?
-2134*s
What is the r'th term of 7, 11, 15, 19, 23?
4*r + 3
What is the i'th term of 21, 38, 57, 78, 101?
i**2 + 14*i + 6
What is the h'th term of -77, -74, -69, -62, -53, -42, -29?
h**2 - 78
What is the g'th term of 34, 1, -46, -101, -158, -211, -254, -281?
g**3 - 13*g**2 - g + 47
What is the d'th term of 124, 256, 398, 550, 712, 884?
5*d**2 + 117*d + 2
What is the i'th term of 155, 288, 399, 482, 531, 540, 503, 414?
-i**3 - 5*i**2 + 155*i + 6
What is the l'th term of -112, -135, -158, -181, -204, -227?
-23*l - 89
What is the z'th term of -60, -54, -46, -36, -24, -10?
z**2 + 3*z - 64
What is the x'th term of -64, -35, 32, 155, 352, 641, 1040, 1567?
3*x**3 + x**2 + 5*x - 73
What is the o'th term of 55, 47, 27, -11, -73?
-o**3 - o + 57
What is the t'th term of -131, -251, -357, -443, -503?
t**3 + t**2 - 130*t - 3
What is the n'th term of 7, 23, 49, 85, 131?
5*n**2 + n + 1
What is th
|
{
"pile_set_name": "DM Mathematics"
}
|
r of o and 6?
3
Let h(f) = 3*f**2 - 2*f - 2. Let i be h(-5). Suppose 1 + i = 4*c. Suppose 0*z = z + 3*q - 15, -2*z + c = -3*q. What is the greatest common factor of z and 12?
12
Suppose 189 - 9 = 3*i. Suppose 2*r = g - i, 4*g - 5*r - 225 = -2*r. What is the greatest common factor of g and 6?
6
Let d be 33*(1 - 7/(-3)). What is the highest common divisor of 10 and d?
10
Let m(t) = t - 4. Let w be m(8). Suppose 792 = -7*p + w*p. Let o = -174 - p. Calculate the highest common divisor of o and 10.
10
Let p = -29 + 44. Calculate the highest common divisor of 5 and p.
5
Let k(m) = -6*m + 5 - 4 - 43*m. Let g be k(-2). What is the highest common factor of g and 9?
9
Let p be (-6)/4*((-1 - 0) + -1). What is the greatest common divisor of 12 and p?
3
Let x be (6 - 4)/(2/21). What is the highest common factor of x and 168?
21
Let c be 208/56 - 2/(-7). Let l = c + 5. Calculate the greatest common divisor of 1 and l.
1
Let g(h) = h**2 + 9*h + 2. Let d be g(-9). Let f = d - 0. Suppose 3*j - 4*t = 4*j, 3*j - 28 = -5*t. Calculate the greatest common factor of j and f.
2
Let i = -5 + 5. Let k(p) = -p**2 + 3. Let j be k(i). What is the greatest common factor of 21 and j?
3
Suppose 4*j = 2*j + 2, -5*n + 13 = -2*j. Suppose n*w = 2*w + 15. What is the highest common factor of 30 and w?
15
Let n be 1*392/(6 + -2). Suppose f - 25 = -k, -3*f + n = -k + 5*k. Calculate the greatest common divisor of k and 46.
23
Let a(z) = -2*z - 4. Let w be a(-4). Let m be 72/30*(-40)/(-6). Suppose m = 4*q - 5*y, -2*q + q - 3*y = -w. Calculate the highest common divisor of 20 and q.
4
Suppose 112 = 5*z - 178. Suppose -3*k + z = -2*f, k + 4*f - 13 = -3. What is the highest common factor of k and 18?
18
Let i = -3 + 5. Suppose -4*o = -4*b + 24, -b - 3*o = -i + 16. What is the greatest common factor of 4 and b?
1
Let p = 65 - 56. What is the highest common divisor of p and 1?
1
Suppose 0 = -2*r - s + 219, -2*r = s + 4*s - 199. What is the greatest common divisor of r and 16?
16
Suppose 5*y + 129 = 5*o - 4*o, -3*y = -9. Calculate the highest common divisor of 16 and o.
16
Suppose -i = -5*u, 0 = 2*i - 4*i + 3*u. Suppose -2*d + 475 + 65 = i. What is the highest common divisor of d and 30?
30
Let d(o) = 4*o**2 - 6*o + 126. Let w(m) = -3*m**2 + 5*m - 126. Let l(h) = -4*d(h) - 5*w(h). Let f be l(0). What is the greatest common factor of f and 14?
14
Suppose 0 = 6*i - 5*i - 80. What is the highest common factor of i and 8?
8
Let w(a) = 6*a**2 - 2*a + 1. Let o be w(2). Suppose x = 4*x - o. Let n be 68/x + (-4)/(-14). What is the highest common factor of n and 25?
5
Let h be (30/9)/(6/9). Let p = h - -1. Calculate the highest common factor of p and 18.
6
Let o be (-27)/(-5) + (-10)/25. Calculate the greatest common divisor of 25 and o.
5
Let w be 0/(-2 + -2) - -15. Calculate the greatest common divisor of w and 12.
3
Let g = 16 + -6. Suppose g = -5*l, 2*n + l + l = 26. What is the highest common divisor of n and 120?
15
Let n(w) = 3*w. Let m = -8 - -9. Let a be n(m). Suppose 0 = t - a - 7. What is the greatest common factor of 25 and t?
5
Let u(d) = -3*d**2 + 2*d - 3. Let v(i) = i**2 - i + 1. Let l(c) = -3*u(c) - 7*v(c). Let m be l(-2). Calculate the greatest common factor of m and 12.
4
Let l(v) = v**2 + 32*v + 6. Let t be l(-32). What is the greatest common factor of 42 and t?
6
Let k be (2 + 0)/((-4)/(-54)). Calculate the greatest common divisor of 189 and k.
27
Let v(x) = 9*x - 7. Let y(m) = 22*m - 18. Let n(j) = -12*v(j) + 5*y(j). Let o be n(7). Suppose z = 7 + o. What is the greatest common factor of z and 60?
15
Suppose -6 = 2*o - 28. Calculate the greatest common divisor of o and 121.
11
Suppose -7 = -3*q + 77. Suppose -4*p + q = -5*c, 0 = -2*p + 3*p + 2*c - 20. Suppose -2*d - 40 = -7*d. Calculate the greatest common divisor of p and d.
4
Let j(v) = -2*v**3 + 2*v**2 + v + 5. Let k be j(-4). Let b be (-4)/(-2) + -2 + 23. Calculate the greatest common divisor of b and k.
23
Suppose j - 5*j - 5*y + 60 = 0, -5*y = j. Calculate the highest common divisor of j and 20.
20
Let o = 6 + 24. What is the greatest common factor of o and 2?
2
Let g(x) = x**3 - 7*x**2 - x + 3. Let f be g(7). Let w = 12 + f. Let d = 40 - 8. Calculate the highest common factor of d and w.
8
Let m(c) = -c**3 - c**2 + 4*c. Let p be m(-3). What is the highest common factor of p and 36?
6
Let v = 12 + -8. What is the highest common divisor of 20 and v?
4
Let g(l) = -2*l**2 + 8*l - 20. Let z(c) = 5*c**2 - 16*c + 41. Let d(h) = -7*g(h) - 3*z(h). Let f be d(-7). What is the highest common divisor of f and 12?
12
Let a = 2 - -63. Calculate the greatest common factor of a and 13.
13
Let g = -3 + 5. Suppose 3*b - 27 = -3*y, g*b + 5 = 4*y - 1. Suppose 3*n - 81 = -3*m, -5*n - 115 + 26 = -3*m. What is the highest common divisor of m and y?
4
Let h(d) = 2*d**3 - 14*d**2 - 17*d - 19. Let q be h(9). Calculate the highest common divisor of 8 and q.
8
Let b(r) = 6*r + 4. Let t be b(2). Calculate the greatest common divisor of t and 24.
8
Suppose 3*p = p + 88. Suppose 3*x - 5 - 28 = 0. What is the highest common factor of p and x?
11
Let c = -163 - -177. Calculate the highest common divisor of c and 70.
14
Let l = 13 - 11. Let x be ((-2)/(-5))/(l/750). Calculate the highest common divisor of x and 15.
15
Suppose 7*h - 13 - 29 = 0. What is the greatest common divisor of 42 and h?
6
Suppose 70 = 5*n - 5*y, 25 = -2*n - 5*y + 60. Let v be (1 + -1)/(6 + -3). Let b = 3 - v. What is the greatest common divisor of n and b?
3
Let f be 5337/63 - (-2)/21*3. What is the highest common factor of f and 51?
17
Let w be 1 - 1 - (2 - -70)/(-4). Let j be (-6)/(-4)*(-8)/(-12). Let f be j/(56/54 - 1). Calculate the highest common factor of w and f.
9
Let i(a) = a**3 - 5*a**2 + 7*a - 4. Let w be i(4). Let d = 69 + -37. Calculate the highest common factor of w and d.
8
Suppose 13 = -3*i + 55. Let d be (5 - -247)*1*(-1)/(-2). Calculate the greatest common factor of i and d.
14
Let t = 74 - 8. Calculate the highest common divisor of 165 and t.
33
Let a = 15 - 12. Let g be 85/4 - (-1)/(-4). Calculate the highest common divisor of a and g.
3
Let s(u) be the second derivative of 1/12*u**4 + 0 + 3*u - 11/6*u**3 + 15/2*u**2. Let w be s(10). Calculate the highest common divisor of w and 45.
5
Let x be (3 + (2 - 0))*4. Let d(q) = 6*q**2 - 3*q - 2. Let i be d(-4). Suppose -x = -a + i. Calculate the greatest common divisor of 14 and a.
14
Let w be (-2 - 12)/(1/(-2)). What is the greatest common divisor of 14 and w?
14
Let z(r) = r**3 + 10*r**2 - 6*r. Suppose 3 = -i + 5*v - 11, -3*v - 42 = 5*i. Let a be z(i). Calculate the highest common divisor of 15 and a.
15
Suppose x - 12 = -3*s, 2*x + 3*s - 20 = -2*s. Let l(p) = -p**3 + 2*p**2 + 24. Let c be l(x). What is the greatest common divisor of c and 24?
24
Suppose 4*f - 8*f = -48. Let z = 62 - 32. Calculate the highest common factor of z and f.
6
Suppose 0 = 4*o + 3 - 23. Suppose -2 = -o*b + 8. Suppose -b*p - 12 = -q, 0*q + 4*p + 16 = q. What is the highest common divisor of 64 and q?
8
Let s(b) = 2*b**2 + 7*b + 5. Let w be s(-4). Let x = 0 + w. What is the highest common factor of x and 63?
9
Suppose 3*w - 2*n + 86 = 5*w, 0 = -5*n + 20. Suppose q + 15 = -2*q, -4*g + w = 5*q. Calculate the greatest common divisor of g and 144.
16
Suppose 5*p - 180 = 30. Let f(o) = -o**2 - 6*o + 9. Let z be f(-7). Suppose 0 = -z*v + 18 + p. What is the highest common divisor of 20 and v?
10
Let a = -108 + 220. Let n(g) = g**3 - 5*g**2 - 5*g + 8. Let b be n(6). Calculate the greatest common divisor of b and a.
14
Let w(u) = -3*u**3 - 5*u**2 - 8*u - 6. Let o be w(-3). Calculate the highest common divisor of o and 6.
6
Let i be ((-6)/(-8))/(1/8). Let w(u) = -6*u. Let t be w(-4). Let h = t - 12. What is the highest common divisor of h and i?
6
Let r(s) = 5*s - 7. Let k be r(6). Let z = -410 + 433. Calculate the highest common divisor of z and k.
23
Let c be (-1 - 2) + 4 + 38. What is the greatest common factor of 195 and c?
39
Let g(t) = t**3 + 5*t**2 + 2*t + 6. Let k be g(-3). What is the highest common divisor of k and 42?
6
Let c be -4*17/(-2)*1. Let n = -16 + c. Let a = -446 - -448. Calculate the greatest common divisor of a and n.
2
Suppose -y = 3*u - 0*u - 5, -3*y - u = -7. Let g = 22 - 4. Calculate the greatest common factor of g and y.
|
{
"pile_set_name": "DM Mathematics"
}
|
e 171*t = 165*t + 6. What is the fourth biggest value in -19, -3, -3/5, t?
-19
Let g = 455 - 1137. Let x be (-2)/(-13) + g/715. Let h = -0.08 - 0.22. Which is the third biggest value? (a) 0.4 (b) h (c) x
c
Let m = -3 - -2.94. Let w = -7.94 + m. Let k be ((-2)/16)/(-1 + (-21)/(-14)). What is the biggest value in w, k, 2?
2
Let j = 93 - 93. Let w = 0.41 + 0.09. What is the second biggest value in 3/5, j, -60, w?
w
Let f = -0.165 - 19.835. What is the third biggest value in -5, f, -1/2, -0.2?
-5
Let o = -298.7 + 299. What is the second biggest value in -5, o, 4/9?
o
Let j = -8.8 + -54.4. Let p = j + 63. Let k = 0.3 - 2.3. What is the smallest value in -4, k, p?
-4
Let j(l) = -l**3 + 3*l**2 - 2*l + 1. Let k be j(1). Let f = -19 + 75/4. What is the third biggest value in 11, k, f?
f
Let h = -0.185 - 1.815. Which is the second biggest value? (a) 4 (b) h (c) -0.2 (d) -1
c
Let a = 91.1 - 91. Let x = 51 - 51.4. What is the smallest value in a, -1, x, -2?
-2
Let f = 2/91 - -71/910. Let m = 0.08 - 0.18. Let b = 0.1 + 0.1. What is the smallest value in f, m, b?
m
Let x be 3*39/162 - (-4)/(-18). Which is the second biggest value? (a) 3/2 (b) 2/19 (c) x
c
Let v = -61 + -34. Let o = v - -50. Which is the third smallest value? (a) 0 (b) o (c) -0.2
a
Let y = 0 + -0.4. Suppose 8 = 2*c, 10*v - 3*c = 13*v - 9. What is the biggest value in y, -2, v, -5?
y
Let l = 6 + 15. Let t = l + -33. Let z = 10 + t. Which is the smallest value? (a) -0.4 (b) z (c) -5
c
Let o = -0.014 - -0.414. Which is the smallest value? (a) -0.31 (b) o (c) -2/7 (d) -1
d
Let t = -404 - -403.5. Which is the fourth biggest value? (a) 4 (b) t (c) 1/4 (d) 0.1
b
Let j = -1 + -4. Let q = -162/13 + 363/26. What is the second smallest value in j, 2/17, -0.3, q?
-0.3
Let a = -7 + 6.7. Let b be (-215)/(-84)*(-33)/(-945). Let j = 3/196 - b. What is the smallest value in j, -0.5, a?
-0.5
Let k be -1*3/15*-2. Let r be ((-3)/(-60))/(1 + 10/(-12)). What is the fourth smallest value in 0.5, -5, r, k?
0.5
Let u be 27/18*(-1)/(-4). Let n = 14 - 14.4. Which is the fourth smallest value? (a) n (b) 1.4 (c) -2/13 (d) u
b
Let i = 96 - 96.4. Let z be (1 + 0)*3*1. Let r be 6/12 + 1/4. What is the smallest value in i, z, r?
i
Let y be 2/((-30)/(-69)) + -5. What is the third biggest value in y, -1/8, 2, 0.2?
-1/8
Suppose -25*n = -12*n + 65. Let f = 1/45 + -49/180. What is the third biggest value in 3/2, f, n?
n
Let s = -22 + 54. Let c = 29 - s. Let f be (-4)/6 - (-2)/(-2). What is the biggest value in f, -2, c?
f
Let t = -12.2 - -0.2. Let u = -0.174 + -11.926. Let q = u - t. What is the smallest value in q, -2/7, -1?
-1
Let g(l) = l + 7. Let k be g(0). Suppose k*f = 3*f + 12. Let p = 5.088 - 0.088. Which is the biggest value? (a) p (b) f (c) -2
a
Let u = -1404 + 11229/8. Let n be 0*((-3)/(-2) + -2). What is the fourth smallest value in -2/11, n, u, 2/3?
2/3
Suppose 2*n - g + 9 = 0, 4*g + 6 = -3*n + 3*g. Let d = -15.34 + 0.34. Let z = 14 + d. Which is the second biggest value? (a) z (b) 5 (c) n
a
Let l = 4/43 + -146/645. Let o = 94/285 + 4/57. What is the smallest value in 2, o, l, -5?
-5
Let s = -1.99 - 0.01. Let t = 0.47 + -0.482. Let f = t + 4.012. Which is the third biggest value? (a) -2/9 (b) f (c) s
c
Let j = -51 - -140. Let u = 88.6 - j. Which is the third biggest value? (a) 4 (b) 1 (c) u (d) -5
c
Let s = 3.254 - 0.244. Let v = s - 0.01. Let y = 505/7 - 72. What is the second biggest value in v, 2, y?
2
Suppose 4*v - 2*n - 7 = 3, v + 2 = -n. Let g be -2*1/(-4)*-2. Let x = -0.09 - 0.01. Which is the smallest value? (a) g (b) x (c) v
a
Let s = -4.6 - -6.6. Let n = 3.3 + -20.3. Let q = 20 + n. What is the third smallest value in -3/2, q, s?
q
Let y = -134 + 2280/17. Let j be 4/(-6) + 112/(-21). Which is the smallest value? (a) -0.2 (b) y (c) -1/4 (d) j
d
Let s = 30.019 - 0.019. Let z = 28 - s. What is the third biggest value in 0.4, z, -1?
z
Let k = -1.13 + -1.87. Which is the second biggest value? (a) -0.5 (b) k (c) -5 (d) 0
a
Let f = -1.3 + 1.8. Which is the fourth biggest value? (a) -0.3 (b) -0.01 (c) 4 (d) f
a
Let u be (9/6)/(6/(-8)). Let k be 2/15 + (-522)/(-135). What is the smallest value in u, k, -1?
u
Let m be (20/3)/5*(-37 - -1). Let p = 237/5 + m. Which is the second smallest value? (a) 2/13 (b) p (c) 2
a
Let q be -9 + 3 - -11 - 1. Which is the second biggest value? (a) q (b) -5 (c) -17
b
Let o = -550.6 - -551. Let i = 1 + -1. Let h = i - -0.5. What is the third smallest value in -1, h, o?
h
Let y = 0 - -0.2. Let v = -64 + 66.4. Let o = v - 0.4. Which is the biggest value? (a) 5 (b) o (c) y
a
Let j = 144.7 - 145. What is the third smallest value in 0.5, 0.3, j, -7?
0.3
Let w be 10/(-24) - 2/(-8). Let t = -35.609 + 35.609. Which is the smallest value? (a) w (b) t (c) 1/9 (d) 7
a
Let m = 59 + -58.7. Which is the third smallest value? (a) 5/6 (b) m (c) -2/11
a
Let a = -85 + 90. What is the second smallest value in 36, a, -1?
a
Let b = 5.58 + -5.49. What is the third smallest value in 3/4, b, -0.8?
3/4
Let n = 0.03 - -0.046. Let j = n - 3.076. What is the third biggest value in j, 3, -1.6?
j
Let m = -0.0185 + -0.1815. Let g = -1.98 + -0.02. Which is the fourth biggest value? (a) -1 (b) 1 (c) g (d) m
c
Let t = -151.5 - -151. What is the smallest value in t, -3/7, 0?
t
Let m(i) = -i**2 + 2*i - 2. Let n be m(3). Let t = n - -3. Let a = -7565.2 - -7565. What is the biggest value in a, -5, t?
a
Let g = -202 + 206. What is the third biggest value in 107, 1, g?
1
Let q be (((-108)/6)/(-6))/(102/4). Which is the biggest value? (a) q (b) -0.1 (c) -1/5 (d) -3
a
Let m = 5860/9 + -651. Which is the second smallest value? (a) m (b) -4 (c) 2
a
Let y = 0.3834 + 0.1166. What is the biggest value in -20, y, -5?
y
Suppose -v - 2 = -3*v. Suppose -4*k - 20 = -2*d, -24 = -3*d + 2*k + 2*k. Let q be ((-4)/42)/(d - (-60)/(-18)). What is the third biggest value in 0, v, q?
q
Let y(q) = -q**3 - 64*q**2 - q - 59. Let k be y(-64). Which is the smallest value? (a) k (b) -4 (c) -0.5 (d) 1
b
Let f(s) = -s**2 - 6*s. Let w be f(-5). Suppose -5*a - 8 = 3*k, 4*k - 3*a = -w*a - 6. What is the third biggest value in 0.06, k, 1?
k
Let j be 3*((-57)/(-9) + 2/3). Let s = j + -20. Which is the second biggest value? (a) s (b) 5/2 (c) 0.4
a
Suppose -65 = 15*z - 2*z. Which is the second biggest value? (a) z (b) 1/3 (c) 0 (d) -1/2
c
Let l = 231/20 - 54/5. Let t = -7 + 7.3. What is the second smallest value in 3, -1/4, t, l?
t
Let f be 12/(-8)*(-32)/26436. Let p = 125843/149804 - f. Let q = p + -3/34. What is the third smallest value in q, 0.5, 0.4?
q
Let l be 46/(-12) - 1/(-3). Suppose 0 = -v + 6*v - 125. Let k be ((-5)/(-2))/1*(-4)/v. What is the biggest value in k, l, -1?
k
Let f = 0.126 + -0.026. What is the third smallest value in 2/9, 2/11, -25, f?
2/11
Let u = 23.8 + -26.8. Which is the second smallest value? (a) 142/7 (b) u (c) -0.4 (d) 1
c
Let w = 2 + 1. Suppose -5*d - 4*n = -0*n - 8, 0 = n - 2. Suppose p - 14 = -p - 3*v, d = 4*p - 3*v - 10. Which is the smallest value? (a) p (b) w (c) 5
b
Let k(c) = c**3 + 11*c**2 - 13*c + 9. Let n be k(-12). Let y be 2/7 + (-426)/n. Let q be (-10)/y + (-1)/(-1). What is the biggest value in -3, -2, q?
q
Let j = -0.01 + -1.99. Suppose 5*t - 20 = -4*z + 3*t, -4*z + t = -14. Let d = -479/1192 + 4/149. Which is the biggest value? (a) j (b) d (c) z
c
Let x = 89/705 - -1/141. Let r be (-26)/42 - 2/(-6). Which is the smallest value? (a) x (b) 18 (c) -2 (d) r
c
Let g be (-3 - 176/(-40))/(11/5). Which is the third biggest value? (a) -0.1 (b) g (c) -3
c
Let k be 5/4 - (-13)/(-26). Let x = 9 + -6. Let l be (-12)/(-10)*(-30)/(-9). Which is the biggest value? (a) l (b) x (c) k
a
Suppose -5*d - 109 = -2*d + 5*j, -3*d - 91 = -4*j. Let g be (12/d)/(8/(-44)). Suppose -3*o - 3 = -0*o. Which is the third smallest value? (a) 5 (b) g (c) o
a
Let b = -3 - -7. Suppose -15 = v - 18. Suppose 1 - v = 2*c. What is the second biggest value in -2/17, b, c?
-2/17
Let t = 8 - 7.5. Let h = 4 - 1. Let o = -530 + 532. Which is the third biggest value? (a) t (b) h (c) o
a
Let z = -32.8 + 33.1. What is the biggest value in -0.7, -1, z?
z
Suppose -376*g + 385*g = 36. What is the biggest value in 3, g, 0.6, 0.01?
g
Let t be (
|
{
"pile_set_name": "DM Mathematics"
}
|
o = g + -1.2. Let z be (-16)/60*(-6)/(-4). What is the closest to -2 in o, -3, z?
-3
Let u = 4.1 - 105.1. Let g = u - -104. What is the closest to 3 in 1, 2/9, g?
g
Let t = 39 - 36. Suppose 0*o = r - t*o - 3, o + 12 = 4*r. Let c = -4/29 - 30/203. What is the nearest to 3 in -0.5, c, r?
r
Let w be 5*(64/30 - 2). Let m be 580/(-203)*4/8*7. Which is the closest to w? (a) 3 (b) m (c) 2
c
Let n = -28968/7 - -4138. Let y = 0.8 - 1. Let h = 0 + y. What is the nearest to h in 1, -5, n?
n
Let c = 0.148 + 0.252. What is the nearest to 0 in 1, -21, c?
c
Suppose -2*r = 86 - 82. What is the closest to -0.1 in r, 1, -3?
1
Let l = 1.3 - -6.7. What is the nearest to -7 in -4, 1/4, l?
-4
Let c = 122 + -119. What is the closest to -0.1 in 0.3, c, 4, 7?
0.3
Let z = -1.83 - -1.73. Which is the nearest to 1? (a) z (b) -1/4 (c) -10
a
Let x = 293.5 - 292. Which is the closest to 2? (a) -2 (b) -0.5 (c) x
c
Suppose 2*q = -2*o - 0*q + 10, 2*o - 5*q + 4 = 0. Let w be (-3)/(-2) + 0 + o. Let d = -4 + w. What is the nearest to d in 0.3, -2, 1?
0.3
Let w be ((-22)/(-66) + (-22)/12)/6. Let v = 6.2 + -1.2. Which is the nearest to -0.1? (a) -7 (b) w (c) v
b
Let s = 457/7 - 65. Which is the closest to s? (a) 0.05 (b) -2/7 (c) -2 (d) 2/27
d
Let p = -1.3 + -3.7. Let u = -2433/3880 - -1/485. Let f = u + -1/24. What is the closest to f in 0.2, p, 0?
0
Suppose 0 = -t - 3*l + 6, 5*t + 5*l + 7 - 17 = 0. Let z = -1251 - -58799/47. What is the closest to t in -0.4, z, -2/9?
z
Let c = 195 + -174.56. Let l = -0.44 + c. Let v = l + -15. What is the closest to -0.3 in -0.2, -0.1, v?
-0.2
Let u = -99.4 - -79.4. Which is the nearest to -0.1? (a) -1 (b) u (c) 0.09
c
Let h = -604.1 + 604. What is the nearest to 0.6 in 4, h, -2?
h
Suppose 2*x = -0*x. Let u = 27 + -28. Let y be u + (-2)/(-2) - (-20)/40. Which is the nearest to -1? (a) y (b) -2/7 (c) x
b
Let r = 818 + -2455/3. What is the closest to -1 in r, 5, 9?
r
Let u = -1651 + 1651.3. Which is the closest to 0.1? (a) -3 (b) 1 (c) u (d) -2/5
c
Let f = -8 - -3. Let z be 7/(49/24) - (-44 + 47). Which is the closest to -1/4? (a) -3 (b) z (c) f
b
Let x = -0.01 + -1.09. Let v = x + 0.9. Let j = -23 - -20. Which is the closest to v? (a) -1/4 (b) -2 (c) j
a
Let h be (162 + -161)*((-8)/5)/((-2)/5). Let l = -1 - -1.2. Let z be 10*1*(-1)/(-2). What is the nearest to 0 in l, z, h?
l
Let d be 3/4*52/(-78). Which is the closest to 3? (a) 4 (b) -9/5 (c) d
a
Let v = -1.5 - -1. Let n be 35/(-84)*(-36)/(-60). What is the nearest to 2 in -1/9, n, v?
-1/9
Let m(p) = 21*p**3 - p. Let u be m(-1). Let x(j) = -j**2 + 9*j - 40. Let l be x(7). Let o be 12/8 - l/u. What is the nearest to o in 2/5, 4, 4/9?
2/5
Let q = -44.9 + 45. Let u = 0.33 - 0.23. Which is the nearest to u? (a) -2/17 (b) q (c) 0
b
Let m = -0.8 + -4.7. Let g = m - -8.5. Which is the nearest to 0.1? (a) -0.4 (b) g (c) 2/9
c
Let w = 11.32 + -10.72. Let t = -2/5 + 1/15. Which is the closest to w? (a) -3 (b) 2/5 (c) t
b
Let u = -82.1 + 82.6. What is the closest to -1/31 in u, -3, -4?
u
Let z = -194.5 - -195. Let g(x) = -x - 4. Let q be g(-6). Which is the nearest to q? (a) -0.4 (b) 2/13 (c) z
c
Let t(y) = y + 17. Let u(q) = q + 16. Let z(m) = 4*t(m) - 5*u(m). Let o be z(-14). What is the nearest to o in 2/5, 1/2, -3?
1/2
Let g = -5 + 8. Let w = -3.4 + g. Let l = 0.1455 - 1.1455. Which is the nearest to 1/3? (a) w (b) -4 (c) l
a
Let r = -98 - -104. Suppose -10*y = r*y - 32. What is the nearest to 0.1 in 2/7, y, -4/5?
2/7
Let r be -1 + 1 - (-6)/(-21). Let w = -487.7 - -482.7. What is the nearest to r in w, -1/5, 0.6?
-1/5
Let n = -0.07 + 0.07. Let p = -14 + 13.2. Let t = -4.8 - p. Which is the closest to n? (a) -3 (b) t (c) 4/5
c
Suppose 9*c = 2*f - 47, f = c + 3*c + 21. What is the closest to f in 5, 14, -2/9, -1/3?
-2/9
Suppose -2*o = 4*w, 0 = -65*w + 60*w + 3*o + 11. Which is the closest to -7? (a) w (b) 3/2 (c) -2 (d) -0.4
c
Let i(m) = m. Let z be i(0). Let b be -3 - (z - 18/7). Let s = 6 - 19/3. What is the closest to s in -5, b, 3/5?
b
Let r = -185.4 - -185. What is the nearest to -1/4 in r, -1/12, 0.4?
r
Let g = 663 + -11269/17. Which is the closest to -7/6? (a) -2/17 (b) 1/3 (c) g
a
Let v = 0.406 + -0.006. Which is the nearest to 2? (a) v (b) -1 (c) 0
a
Let q = -903/4 - -226. Let a = 0 - -0.2. Let m = -0.1 + a. What is the closest to m in q, 1, 5/3?
q
Let x = 439.3 + -439. What is the nearest to x in -4, -5, -1.7?
-1.7
Let k = -2657/7128 - 2/891. What is the nearest to k in 0, 2/3, 3, -1?
0
Let y(q) = q**3 - 8*q**2 - 7*q - 19. Let h be y(9). Which is the nearest to h? (a) 1 (b) 3 (c) -2/5
c
Let h = 36 + -610/17. Let r = 647/3 - 216. What is the nearest to -7 in 2/11, r, h?
r
Let i = 459/2 - 229. Which is the closest to -1? (a) 0.073 (b) -1 (c) i
b
Let g = 143 + -144. What is the closest to g in 5, 6, 1?
1
Let o be 0 + -6 + (-2 - (-20)/5). Which is the closest to 18? (a) 3 (b) 2/9 (c) o
a
Let z = 0.26 + -0.315. Let x = 3.355 + z. Let t = x - 2.3. Which is the closest to t? (a) 0.2 (b) -5 (c) 4
a
Let n = 0.3 - 1.3. Let j = 0.23 - -0.07. Let o = 5.32 - 5.12. Which is the closest to o? (a) 0 (b) n (c) j
c
Let o be 240/252 + 4/(-6). Which is the nearest to 1? (a) 0 (b) o (c) -2
b
Let n = -224 + 227. Suppose -5*m + 27 - 377 = 0. Let w be n + m/12 + 3. Which is the closest to 0? (a) -0.1 (b) w (c) 0.3
a
Let u = 16 + -10. Let q be u/(3/(-4)*-2). Let h be 14/8*-2 + q. Which is the nearest to h? (a) -1 (b) -5 (c) 0.5
c
Let t = -24.8 - -26. Let d = t + -1. Let g be -1 + 1 - 1/(-2). Which is the closest to -2/7? (a) g (b) -3 (c) d
c
Let l = -4.2 - -3.2. Suppose n = -n - u - 2, 2*u = -3*n - 5. Which is the nearest to l? (a) 3/8 (b) n (c) 2
a
Let o = -1/15 + 19/60. Let y = -2273 - -6818/3. Which is the closest to y? (a) 0.3 (b) 0 (c) o
b
Suppose 2*q = -5*k + 68, q + 15 + 5 = 2*k. Let y = -35 + 36. What is the closest to -1/2 in -1, y, k?
-1
Let s = 1.02 + -1.52. What is the closest to -0.1 in 2, 2/7, s?
2/7
Let m be 8/52*5/(-5). What is the nearest to 1/3 in m, 17, -3/2?
m
Let x = -19.88 - -20. Let b = -0.18 + x. Let a = 0.36 + b. What is the nearest to -2 in 5/2, -1, a?
-1
Let m = 4.086 + -0.086. Let h = m - 4.06. Which is the nearest to -0.1? (a) 0 (b) h (c) -4
b
Let z be (22/99)/((-8)/6). What is the nearest to z in 3, -0.4, 2/3?
-0.4
Let s = 3 + -6. Let d(l) = l**3 - 9*l**2 - 7*l - 4. Let u be d(10). Let m = -24 + u. Which is the nearest to m? (a) -2/9 (b) s (c) -1
a
Let o = 243/190 + -3/38. Let x be (15/(-30))/(3/(-2)). Suppose -2*g - 4*f + 26 = 0, -2*f - 17 = -4*g - 5. Which is the closest to x? (a) g (b) -0.2 (c) o
b
Let o = -147 - -143.67. Let y = 0.17 - o. Let m = -4 + y. What is the closest to 0 in 3, 4, m?
m
Let u = -0.3 + 4.3. Suppose n = -2*n. Let k = 2/7 - -3/14. Which is the nearest to k? (a) 2 (b) n (c) u
b
Let x = -5/39 + -209/195. Let y = 107/5 - 953/45. What is the nearest to y in -1/4, -2/5, x?
-1/4
Let t = -2 - -7. Let a = -0.655 + 0.645. What is the nearest to a in -4, t, -3?
-3
Let n = -18.5 - -18. What is the closest to -1 in -2/71, n, 2/7?
n
Let d = -2.95 + -0.05. Let j be (15 + 171/(-12))/((-42)/32). What is the nearest to 0 in j, -5, d?
j
Let f = 55.8 + -62. Let l = -5.8 - f. Which is the closest to 1? (a) l (b) 22 (c) -0.1
a
Let t = 0.09 - 0.49. Let n be (24/(-30))/(4/(-2) - 0). What is the closest to n in -0.02, t, -0.2?
-0.02
Let s = -2.19 + 2. Let u = s - 2.81. Which is the nearest to -1/2? (a) 0.3 (b) u (c) -0.3
c
Let g be 0 + ((-8)/9)/2. Let u = 904/1365 - -2/455. Which is the nearest to u? (a) g (b) -3 (c) 1
c
Let j = -13 - -19. Let u = -8.961 + -0.039. Let q = u + j. Which is the closest to q? (a) 0 (b) -0.4 (c) -0.2
b
Suppose 0*f - f = -8*f. What is the nearest to f in -3, 1/3, 1/7?
1/7
Let g = -1396 + 1393.5. Which is the nearest to g? (a) 3/2 (b) 2 (c) -2/3
c
Let u = -11.3 - -8.3. Which is the closest to u? (a) -1/6 (b) -1/2 (c) -5
c
Let h be -6*(3 + 33/(-9)). Suppose -4*u - 8 = 2*m, 0 = u - h*m - 1 + 3. Let x = -3.8 - -4. Which is the closest to 0.1? (a) x (b) 1 (c) u
a
Suppose 20 - 25 = -5*u. Let w be ((-52)/12 - -4)/(u/(-3)). What is the closest to w in -2, 0.1, 2?
0.1
Let y = -0.3 - -2.3. Let v = -4.12 - -3.62. What is the nearest to -7 in
|
{
"pile_set_name": "DM Mathematics"
}
|
n denominator of -15/640696 and -17/673.
640696
What is the smallest common multiple of 322112 and 161056?
322112
Find the common denominator of -17/190 and -17/790.
15010
Calculate the smallest common multiple of 96 and 936.
3744
What is the lowest common multiple of 1760 and 47008?
2585440
Calculate the smallest common multiple of 342688 and 257016.
1028064
Find the common denominator of -109/985660 and -161/1182792.
5913960
What is the smallest common multiple of 32262 and 72?
387144
Calculate the common denominator of -23/1000 and 87/8.
1000
What is the common denominator of -61/238920 and 31/44?
238920
What is the smallest common multiple of 46480 and 60?
139440
Calculate the common denominator of -51/515120 and -7/566632.
5666320
Calculate the smallest common multiple of 377311 and 1303438.
14337818
Calculate the least common multiple of 2712 and 226.
2712
What is the common denominator of 13/26586 and 59/184?
2445912
Calculate the smallest common multiple of 5319 and 54.
10638
Calculate the common denominator of 11/808740 and -95/323496.
1617480
What is the smallest common multiple of 467856 and 1596?
3274992
Calculate the least common multiple of 61656 and 39636.
554904
Calculate the least common multiple of 18096 and 7395.
1538160
Calculate the common denominator of 59/580 and -64/12963.
259260
What is the smallest common multiple of 190 and 73910?
73910
What is the common denominator of -103/53892 and 89/107784?
107784
What is the smallest common multiple of 3260 and 2934?
29340
What is the smallest common multiple of 128 and 2344?
37504
Calculate the lowest common multiple of 14726 and 148.
29452
What is the least common multiple of 196 and 2478?
34692
Calculate the least common multiple of 260145 and 260145.
260145
Calculate the lowest common multiple of 275 and 2405.
132275
What is the lowest common multiple of 3312 and 368?
3312
What is the lowest common multiple of 751004 and 14?
5257028
Calculate the smallest common multiple of 28 and 21161.
84644
What is the common denominator of -73/48 and 1/13788?
55152
Calculate the least common multiple of 1889 and 1731.
3269859
What is the smallest common multiple of 1098 and 3843?
7686
Calculate the smallest common multiple of 1043 and 21.
3129
What is the common denominator of 73/33312 and -57/5552?
33312
What is the smallest common multiple of 3315 and 1105?
3315
Calculate the common denominator of 23/885 and -27/2360.
7080
Find the common denominator of -97/30 and -1/1872.
9360
What is the smallest common multiple of 75464 and 16?
150928
Calculate the smallest common multiple of 7802 and 1328.
62416
Calculate the smallest common multiple of 900229 and 163678.
1800458
What is the least common multiple of 4752 and 142560?
142560
Find the common denominator of 29/83232 and 73/552.
1914336
Calculate the common denominator of 65/4 and -85/172502.
345004
Find the common denominator of 13/475626 and -53/55956.
951252
What is the common denominator of -4/3358465 and -111/40?
26867720
What is the lowest common multiple of 59884 and 342972?
3772692
Calculate the smallest common multiple of 54142 and 322.
378994
What is the lowest common multiple of 207 and 8096?
72864
What is the least common multiple of 9651 and 9651?
9651
Calculate the least common multiple of 4239530 and 40.
16958120
Calculate the least common multiple of 108 and 23736.
213624
Find the common denominator of 49/12 and 101/980.
2940
What is the least common multiple of 23035 and 13685?
3708635
What is the common denominator of 73/4536 and 121/144?
9072
Calculate the common denominator of -23/50 and -38/55185.
551850
What is the least common multiple of 6 and 6765?
13530
Calculate the common denominator of -89/55760 and -33/1600.
1115200
What is the least common multiple of 606 and 3232?
9696
What is the smallest common multiple of 140 and 10906?
109060
What is the smallest common multiple of 10 and 120690?
120690
What is the least common multiple of 46593 and 90?
465930
Calculate the common denominator of -75/2054 and 46/325.
51350
What is the common denominator of 131/1960 and 139/2800?
19600
What is the common denominator of -59/148239 and 3/724?
592956
Calculate the smallest common multiple of 127686 and 39.
127686
Calculate the common denominator of -23/1066 and 40/23.
24518
Find the common denominator of -17/26 and -109/64714.
64714
What is the least common multiple of 5192 and 3894?
15576
What is the smallest common multiple of 21 and 9667?
29001
What is the common denominator of -35/1944 and 119/684?
36936
Calculate the least common multiple of 4 and 294281.
1177124
What is the smallest common multiple of 350 and 669?
234150
Calculate the least common multiple of 23 and 5474.
5474
Calculate the least common multiple of 1218 and 35757.
500598
Calculate the smallest common multiple of 2736 and 62586.
500688
Calculate the least common multiple of 5814 and 646.
5814
Find the common denominator of 37/119 and -33/289.
2023
Calculate the least common multiple of 45 and 202428.
1012140
What is the common denominator of -121/109640 and 109/120?
328920
Calculate the lowest common multiple of 1005 and 100.
20100
Calculate the lowest common multiple of 2211174 and 15042.
2211174
Calculate the lowest common multiple of 95634 and 478170.
478170
What is the smallest common multiple of 457990 and 1170?
4121910
What is the common denominator of -113/24 and -43/1059?
8472
Calculate the smallest common multiple of 2904 and 3630.
14520
Calculate the lowest common multiple of 376 and 89206.
356824
Calculate the least common multiple of 15010 and 201134.
1005670
Calculate the smallest common multiple of 58680 and 19560.
58680
What is the common denominator of 43/779 and 95/164?
3116
What is the common denominator of 95/52464 and 53/30?
262320
What is the lowest common multiple of 28371 and 7527?
368823
Calculate the least common multiple of 85280 and 3280.
85280
Calculate the lowest common multiple of 69590 and 10.
69590
Calculate the lowest common multiple of 7616 and 3648.
434112
Calculate the smallest common multiple of 11 and 62749.
690239
Calculate the smallest common multiple of 1862 and 26068.
26068
Calculate the least common multiple of 231 and 187143.
1310001
Calculate the least common multiple of 1608 and 7592.
1525992
What is the lowest common multiple of 35 and 423654?
2118270
Find the common denominator of -7/142398 and -47/6.
142398
What is the lowest common multiple of 316 and 347096?
27420584
What is the common denominator of -87/3008 and 45/5696?
267712
Calculate the common denominator of 53/2484 and -11/1512.
34776
Calculate the common denominator of 35/1009 and -32/11099.
11099
What is the least common multiple of 78 and 86949?
2260674
Calculate the common denominator of 97/700 and 151/1500.
10500
What is the smallest common multiple of 1523944 and 6248?
16763384
What is the least common multiple of 22 and 55470?
610170
Calculate the least common multiple of 124620 and 6.
124620
Calculate the smallest common multiple of 469044 and 162.
1407132
What is the lowest common multiple of 17542 and 8771?
17542
Calculate the lowest common multiple of 788229 and 262743.
788229
What is the common denominator of -31/5557 and 51/122254?
122254
Calculate the least common multiple of 2350 and 52170.
260850
What is the common denominator of 61/60 and 167/370500?
370500
What is the common denominator of 119/20 and 71/1126300?
1126300
Find the common denominator of -45/386 and -67/15886.
3065998
Calculate the common denominator of -137/19620 and -1/720054.
7200540
What is the common denominator of 5/27728 and -69/880?
1525040
Find the common denominator of -139/7986 and 79/242.
7986
Calculate the common denominator of 19/69165 and 46/115275.
345825
Find the common denominator of -89/29016 and -203/2340.
145080
What is the least common multiple of 715 and 9155?
1309165
Find the common denominator of 91/540 and -23/1620.
1620
Calculate the common denominator of -43/18054 and 31/2478.
126378
What is the least common multiple of 1800 and 61080?
916200
What is the least common multiple of 42 and 21?
42
What is the least common multiple of 163056 and 559?
2119728
Calculate the common denominator of 61/82088 and 1/44.
902968
Calculate the lea
|
{
"pile_set_name": "DM Mathematics"
}
|
-200.
23/200
Divide -59 by -16.
59/16
362 divided by -1
-362
-12814 divided by 6407
-2
What is 52 divided by 4?
13
2149 divided by -6
-2149/6
Divide 123 by 1.
123
-326 divided by 5
-326/5
212 divided by 3
212/3
Divide -6402 by 3.
-2134
-204 divided by -6
34
Calculate -32 divided by -4.
8
Divide 592 by -4.
-148
-83 divided by -1
83
Calculate 2598 divided by 866.
3
What is -3388 divided by -154?
22
Calculate -1021 divided by -5.
1021/5
Divide -4 by 736.
-1/184
What is 6318 divided by -9?
-702
What is -117 divided by -39?
3
What is -9 divided by 3389?
-9/3389
2806 divided by -46
-61
Divide -335 by 51.
-335/51
Calculate -1023 divided by -1.
1023
-555 divided by 555
-1
What is -4 divided by -136?
1/34
1031 divided by 5
1031/5
11740 divided by 4
2935
Divide -3 by -71.
3/71
What is 2215 divided by 5?
443
What is -224 divided by 56?
-4
Calculate 3 divided by 60.
1/20
What is 560 divided by 16?
35
Divide 15312 by 638.
24
Divide -5 by 110.
-1/22
What is -85 divided by -3?
85/3
Divide -15 by -5.
3
Calculate -12 divided by -20.
3/5
Calculate -1190 divided by -3.
1190/3
Divide -1960 by 4.
-490
Divide -1200 by -8.
150
Divide -1220 by -4.
305
What is 0 divided by -55?
0
Divide -2120 by 424.
-5
What is 3 divided by -54?
-1/18
Calculate -3454 divided by -157.
22
-3498 divided by -2
1749
Divide 7284 by 6.
1214
Divide 569 by 3.
569/3
Divide -164 by -2.
82
Divide 44 by 11.
4
Divide -2483 by -6.
2483/6
What is 108 divided by -54?
-2
What is 126 divided by 11?
126/11
-4424 divided by 2212
-2
What is 24 divided by 6?
4
Divide -2 by 2741.
-2/2741
-361 divided by 19
-19
What is 44 divided by -1?
-44
Divide -2850 by -15.
190
92 divided by -1
-92
What is 8424 divided by -4?
-2106
Divide -4 by -17.
4/17
Calculate 49 divided by 3.
49/3
What is 337 divided by 2?
337/2
369 divided by -41
-9
Calculate 0 divided by 6.
0
Calculate -808 divided by 2.
-404
Calculate 3 divided by 954.
1/318
-5093 divided by 1
-5093
What is -658 divided by -2?
329
Calculate -4 divided by 2.
-2
61 divided by 32
61/32
Calculate -75 divided by 18.
-25/6
Divide 1166 by -1166.
-1
-1044 divided by -58
18
Divide 290 by -85.
-58/17
Divide -32 by 2.
-16
-23948 divided by 4
-5987
Divide 810 by 10.
81
Divide -6387 by -1.
6387
Calculate -5 divided by 2216.
-5/2216
Calculate -352 divided by -4.
88
Divide 5 by 45.
1/9
Calculate -1 divided by -16.
1/16
Divide -99 by -1.
99
Divide -22 by -4.
11/2
Divide -9 by 9.
-1
Divide 4 by 53.
4/53
264 divided by 8
33
Calculate 64 divided by -5.
-64/5
What is 21 divided by 5?
21/5
Divide -6018 by -6.
1003
What is 158 divided by 1?
158
What is -738 divided by -9?
82
What is -3 divided by 4?
-3/4
Calculate -62 divided by -3.
62/3
Calculate 4 divided by -757.
-4/757
Divide 134 by -67.
-2
What is -648 divided by -324?
2
What is 104 divided by -26?
-4
Divide 7 by -42.
-1/6
Divide 3 by 161.
3/161
-6 divided by 102
-1/17
Calculate -7960 divided by -796.
10
Divide -2590 by -4.
1295/2
Calculate 17538 divided by -3.
-5846
What is 6 divided by -17?
-6/17
Divide -6655 by 1331.
-5
Divide -96 by -10.
48/5
What is 14 divided by 29?
14/29
Calculate 5 divided by -20.
-1/4
Divide 143 by -13.
-11
Divide -1080 by -10.
108
Calculate 4200 divided by 20.
210
Divide -3 by -17.
3/17
Divide 811 by 11.
811/11
What is 1584 divided by -10?
-792/5
Divide 790 by 158.
5
What is 1 divided by 123?
1/123
Divide 70 by -35.
-2
-76 divided by -2
38
What is 3484 divided by 871?
4
Calculate 278 divided by -2.
-139
-46 divided by 12
-23/6
Calculate 316 divided by 23.
316/23
Divide -7 by 4.
-7/4
-5978 divided by -14
427
Divide -170 by 2.
-85
What is -12420 divided by 345?
-36
-2236 divided by 4
-559
Divide -1776 by 4.
-444
What is -868 divided by 28?
-31
Divide -210 by 3.
-70
Divide -848 by 212.
-4
What is 4419 divided by 2?
4419/2
What is 0 divided by -23?
0
What is 756 divided by 42?
18
Divide -358 by 2.
-179
18334 divided by 9167
2
-16606 divided by -19
874
What is 14 divided by 88?
7/44
What is -7 divided by 34?
-7/34
-26 divided by 28
-13/14
What is 0 divided by -87?
0
What is 39235 divided by 5?
7847
Calculate 5 divided by -1.
-5
105 divided by -15
-7
Calculate -1014 divided by 78.
-13
-11 divided by 11
-1
Calculate -162 divided by -3.
54
Calculate -2 divided by 416.
-1/208
Calculate 34437 divided by -3.
-11479
Calculate -2450 divided by -25.
98
Calculate -8 divided by -6.
4/3
Calculate -1683 divided by 99.
-17
Calculate 4296 divided by -1.
-4296
What is 494 divided by -6?
-247/3
-2375 divided by -5
475
Calculate 138 divided by 2.
69
What is -52 divided by -5?
52/5
Calculate -619 divided by -6.
619/6
-21876 divided by 6
-3646
What is -1771 divided by 1?
-1771
Divide -99 by -7.
99/7
-37 divided by 18
-37/18
What is -230 divided by -46?
5
What is 475 divided by -4?
-475/4
Divide -89 by -11.
89/11
What is 10719 divided by 3?
3573
3 divided by -38
-3/38
Calculate 180 divided by 15.
12
What is 5 divided by -62?
-5/62
Calculate 443 divided by 1.
443
Calculate -28 divided by 4.
-7
Calculate -60 divided by -353.
60/353
Divide 7296 by 608.
12
Calculate 0 divided by 1302.
0
What is 377 divided by 8?
377/8
What is -407 divided by 6?
-407/6
What is -389 divided by 8?
-389/8
Calculate -162 divided by 6.
-27
4 divided by 144
1/36
15000 divided by -375
-40
Divide 2 by 56.
1/28
What is 7 divided by 981?
7/981
1 divided by -205
-1/205
252 divided by -7
-36
What is -1 divided by 343?
-1/343
3036 divided by 6
506
Divide 110 by -1.
-110
What is -2 divided by -380?
1/190
Calculate 22 divided by 2.
11
Divide 562 by 6.
281/3
-188 divided by -94
2
What is -22282 divided by 1714?
-13
What is 190 divided by 2?
95
Divide 900 by 3.
300
2 divided by -2913
-2/2913
-5 divided by 3524
-5/3524
Divide 321 by -107.
-3
Divide -7 by -103.
7/103
What is 16 divided by -6?
-8/3
-8512 divided by -266
32
What is -6 divided by 1380?
-1/230
What is -97 divided by 236?
-97/236
Calculate -10 divided by 355.
-2/71
1725 divided by 69
25
Divide 0 by 63.
0
What is 760 divided by 1?
760
Calculate 10127 divided by -41.
-247
Divide 836 by -209.
-4
Divide -19270 by -5.
3854
What is -7 divided by 165?
-7/165
What is -69 divided by -11?
69/11
Calculate -102 divided by 6.
-17
What is -3657 divided by 1?
-3657
-216 divided by 1
-216
What is 2546 divided by 134?
19
Divide -32 by -4.
8
What is 3 divided by -136?
-3/136
Calculate -124 divided by 2.
-62
Calculate 7 divided by 72.
7/72
Calculate -2 divided by -111.
2/111
5352 divided by 446
12
-139 divided by 1
-139
-2808 divided by 6
-468
What is -45 divided by 9?
-5
What is -86 divided by 33?
-86/33
-351 divided by -7
351/7
Divide -206 by -103.
2
Divide -3420 by -180.
19
-40 divided by -3
40/3
Calculate -111 divided by 13.
-111/13
What is 45 divided by 9?
5
Calculate -3 divided by -80.
3/80
-38710 divided by 35
-1106
What is -6 divided by 671?
-6/671
Calculate 160 divided by 5.
32
909 divided by 1
909
-370 divided by -7
370/7
What is -6 divided by 24?
-1/4
3 divided by 398
3/398
Calculate 0 divided by -119.
0
Calculate 20 divided by 1.
20
-4 divided by 140
-1/35
Divide 14 by -803.
-14/803
24 divided by 8
3
Calculate -536 divided by 12.
-134/3
What is 2 divided by 3178?
1/1589
What is -1737 divided by 11?
-1737/11
What is -6675 divided by -5?
1335
-14 divided by 22
-7/11
6438 divided by 6438
1
Divide 16 by -2.
-8
-5 divided by 987
-5/987
-368 divided by -16
23
Calculate 5 divided by 1601.
5/1601
Divide -1080 by 6.
-180
Calculate 65 divided by -1.
-65
-3 divided by -2401
3/2401
What is 4131 divided by 81?
51
-2 divided by 13
-2/13
Calculate 4 divided by 32.
1/8
Calculate -900 divided by 9.
-100
Divide -18212 by 5.
-18212/5
What is 70 divided by 19?
70/19
Calculate -6153 divided by 21.
-293
Calculate 18610 divided by -3722.
-5
Divide 10 by -10.
-1
Divide 216 by -27.
-8
What is -3479 divided by 49?
-71
-2000 divided by 5
-400
-16566 divided by 1506
-11
Divide 6020 by 4.
1505
Divide -1152 by 576.
-2
Divide -41 by -3.
41/3
What is -187 divided by 6?
-187/6
-2 divided by 434
-1/217
Calculate 10617 divided by 1.
10617
Divide -3620 by -5.
724
Divide -7 by 23.
-7/23
What is 87 divided by -3?
-29
Calculate 237 divided by -4.
-237/4
Calculate 1080 divided by -24.
-45
-36 divided by 8
-9/2
Calculate 49 divided by 47.
49/47
What is 64 divided by 64?
1
What is 28 divided by 138?
14/69
-5 divided by 699
-5/699
What is 192 divided
|
{
"pile_set_name": "DM Mathematics"
}
|
second derivative of 55671*a**5*c - 2*a**2*c*t + 156*a**2*t - a*c - 3*a*t - 4*a - 2*c*t - 40*c + 9471*t wrt a.
1113420*a**3*c - 4*c*t + 312*t
What is the third derivative of -416242026*o**2*z**3 + 109*o**2*z + 2*o*z**2 - 46544*z**2 wrt z?
-2497452156*o**2
What is the third derivative of -113808763*r**4 + 77200*r**2 + 8*r - 15 wrt r?
-2731410312*r
Find the third derivative of 135*c*z**3 + 478*c*z**2 + c*z - 35018*z**3 - 4*z + 629 wrt z.
810*c - 210108
Find the first derivative of -23192170*a*l - 2*l - 6975640 wrt a.
-23192170*l
What is the derivative of 17300629*l**4 + 25080699 wrt l?
69202516*l**3
Find the first derivative of -2*l**3 + 1658870*l**2 - l + 184801356 wrt l.
-6*l**2 + 3317740*l - 1
Differentiate 797972*n**4 + 7*n**2*y - 57335*y - 10 wrt n.
3191888*n**3 + 14*n*y
What is the first derivative of 32961*n**2*q*u + 4*n*u**2 - 4*n*u - 2*n - 11118*q*u**2 + 106*q*u wrt n?
65922*n*q*u + 4*u**2 - 4*u - 2
Find the third derivative of 12136280*d**3 - 16*d**2 - 562621*d wrt d.
72817680
Differentiate -490498945*o**2 + 302119216.
-980997890*o
Find the first derivative of 105085053*z + 84042015.
105085053
Find the third derivative of -314*c*h**3 + 25693*c*h**2 + 21*c*h - c - 3468*h**3 - h wrt h.
-1884*c - 20808
Find the second derivative of -28821384*c*z**2 + 5*c*z + 2*z**2 + 2685277*z wrt z.
-57642768*c + 4
Find the first derivative of -6*h**2 + 2344672*h - 17612627.
-12*h + 2344672
Find the first derivative of -3*b**2 + 10507887*b - 4294293.
-6*b + 10507887
What is the derivative of 28627*n*o**2 - 185*n*o + 1884*n - 2623 wrt o?
57254*n*o - 185*n
Find the third derivative of -3686764*j**4 - 2*j**2 + 10210*j - 11.
-88482336*j
Find the second derivative of -232341*r**3 - 239*r**2 + 879623643*r.
-1394046*r - 478
What is the derivative of -25143231*t**3*u + 2*t**3 + 32842*t**2 + 25*t + 4 wrt u?
-25143231*t**3
What is the third derivative of 613240*s**5*y**2 + 3*s**4*y**3 - 388*s**2*y**3 - s**2*y**2 - 3*s**2*y - 11*s*y**3 - 45*y**3 wrt s?
36794400*s**2*y**2 + 72*s*y**3
What is the first derivative of 1247989*l**2 + 6542698?
2495978*l
Find the second derivative of -45244675*l**3 - 87499391*l.
-271468050*l
What is the first derivative of 3076*t**3 + 1227*t**2 + 23514647?
9228*t**2 + 2454*t
What is the derivative of -397410068*t - 38252356 wrt t?
-397410068
Find the second derivative of 448*a**4 + 670*a**3 + 25*a**2 - 58918568*a wrt a.
5376*a**2 + 4020*a + 50
What is the first derivative of 4363052*y + 310957 wrt y?
4363052
Differentiate 2960*d*f**2*h - 2*d*h**2 + 333*d*h*m - 257*f**2*h**2*m + 8*f**2*h + 7*f**2*m - 250*f*h**2 wrt d.
2960*f**2*h - 2*h**2 + 333*h*m
What is the first derivative of a*f**2 + a*f*j*x + 2*a*j*x + 1679171*f**2*j - 4934*f**2*x - 13*f*x wrt j?
a*f*x + 2*a*x + 1679171*f**2
Differentiate -1294*c*o*p + 459074*c*o - 10*c*p + 18*c + o*p + 84*p wrt p.
-1294*c*o - 10*c + o + 84
Differentiate 237456408*o - 699532587 with respect to o.
237456408
What is the third derivative of -11583379*g**5 + 21703001*g**2 - 2?
-695002740*g**2
Find the first derivative of -13*j*p**2 - 15*j*p - 2246*j - 14746*p**3 + 93928 wrt p.
-26*j*p - 15*j - 44238*p**2
Find the third derivative of -34786*k**4 + 6026*k**3 + 100817506*k**2 - 2*k wrt k.
-834864*k + 36156
Differentiate 4730079*i**2 + 3*i + 67316107 with respect to i.
9460158*i + 3
Find the first derivative of -6433*d*g**2*t + 689*d*g**2 - 59*d*g*t + 5*d*g - 10*d*t + 57*d + 3*g**2 + 7*g + 1 wrt t.
-6433*d*g**2 - 59*d*g - 10*d
Find the third derivative of -4040*s**4 + 482*s**3 + 3*s**2 - 218*s - 4297 wrt s.
-96960*s + 2892
What is the derivative of 767891*n**2 - 14*n*y + 169242928*y wrt n?
1535782*n - 14*y
Find the second derivative of 165002389*q**4 + 772712469*q wrt q.
1980028668*q**2
Find the third derivative of 48746*i**3*o - 619*i**3 - 3*i**2*o + 199*i**2 + 3*i*o - i + 947*o - 4 wrt i.
292476*o - 3714
Differentiate 207*v**4*x**2 - 38402*v**4 - 322504*x**2 - x with respect to v.
828*v**3*x**2 - 153608*v**3
Find the second derivative of -89*i**3*q**3 + 1517*i**3*q - 78*i*q**3 - 2*i*q + 13390*i - q**3 wrt i.
-534*i*q**3 + 9102*i*q
What is the third derivative of -19286*t**6 - 11662*t**5 + 18*t**2 + 396404*t?
-2314320*t**3 - 699720*t**2
Differentiate -229122282*v + 399327161 with respect to v.
-229122282
What is the first derivative of -349851363*g**3 - 173371507 wrt g?
-1049554089*g**2
What is the derivative of -17983*a**3 + 1898*a - 237723677 wrt a?
-53949*a**2 + 1898
Differentiate 23*p**3*t**3 - 313374*p**3*t**2 + 294065*p**3 + 2*p**2 + p - 149 with respect to t.
69*p**3*t**2 - 626748*p**3*t
What is the derivative of 17670*i**2*m - 17000922*i**2 - i*m**2 + 43*m**2 wrt m?
17670*i**2 - 2*i*m + 86*m
What is the second derivative of 17581154*f**2*y - 49696*f*y + 31*f wrt f?
35162308*y
Find the third derivative of -110923758*o**3*u + 2*o**2*u - 812*o**2 + 2*o*u + 7*o + 2*u + 134 wrt o.
-665542548*u
Find the second derivative of 87*l**4*p - 332469*l**3*p**2 + l*p**2 - 459156*p**2 - p wrt l.
1044*l**2*p - 1994814*l*p**2
What is the third derivative of 2*q**6 - 7*q**5 - 22512*q**3 - 8616022*q**2?
240*q**3 - 420*q**2 - 135072
Find the second derivative of 3887*k**4 + 122*k**3 + 6868*k + 540.
46644*k**2 + 732*k
What is the second derivative of -11961*b**3*s**2 + 89*b**3*s - b**3 + 1942*b*s**2 - b*s + 20*s - 206 wrt s?
-23922*b**3 + 3884*b
What is the second derivative of 44254821*c**2 + 12*c - 1382024?
88509642
Find the third derivative of -3805*u**5 - u**4 + 117*u**3 - 6*u**2 - 316343 wrt u.
-228300*u**2 - 24*u + 702
Find the third derivative of 2*x**6 - 27722632*x**5 - 1364732*x**2 - 11*x.
240*x**3 - 1663357920*x**2
What is the second derivative of -46532640*z**4 + 54646369*z?
-558391680*z**2
What is the first derivative of 8141871*f**3 + 3504920 wrt f?
24425613*f**2
What is the first derivative of -2*y**4 - 30*y**3 - 35*y**2 - 24*y + 7422290?
-8*y**3 - 90*y**2 - 70*y - 24
Find the third derivative of -2*z**5 + 3*z**4 + 56593807*z**3 - 117*z**2 - 3*z + 6876 wrt z.
-120*z**2 + 72*z + 339562842
What is the first derivative of 4*c*h*v**2 + 26075132*c*h*v + c*v**2 + 576*c*v + 112*v**2 - 61 wrt h?
4*c*v**2 + 26075132*c*v
Differentiate 58434316*b*v + 20737*b - 421 with respect to v.
58434316*b
What is the first derivative of -23965868*z - 29729583 wrt z?
-23965868
What is the second derivative of -6149*i**3*w - 14919*i**3 - 28*i - 2*w - 2371880 wrt i?
-36894*i*w - 89514*i
What is the third derivative of -1780862*k**6 + 7085587*k**2?
-213703440*k**3
What is the third derivative of -387534*f**6 + 12*f**3 - 121983*f**2 + 8*f wrt f?
-46504080*f**3 + 72
Differentiate -777*a**2*i**2 - a**2*i + 820*a**2 - 16345*i**2 + 9196 with respect to i.
-1554*a**2*i - a**2 - 32690*i
Find the second derivative of -286833*u**5 - 4*u**4 - 22559013*u.
-5736660*u**3 - 48*u**2
Find the third derivative of -11270296*u**5 + 7*u**2 - 640092*u.
-676217760*u**2
What is the third derivative of -265733365*i**3 - 225*i**2 - 2*i + 79095 wrt i?
-1594400190
Find the third derivative of 6449600*a**6 + 35015836*a**2.
773952000*a**3
What is the second derivative of -13*f*m**2 - 2*f*m + 477582*m**2 + 74*m + 351 wrt m?
-26*f + 955164
Find the third derivative of -210115681*l**2*r**3 - 15*l**2*r**2 - l*r**2 - 8*l - 580066*r wrt r.
-1260694086*l**2
Differentiate b**2*p - 1508560*b**2 + b*p - 15190829*p with respect to b.
2*b*p - 3017120*b + p
Find the third derivative of 154364372*i**3 - 1017799762*i**2 wrt i.
926186232
Find the first derivative of -1449488*s**3 - 8*s**2 - 104196672.
-4348464*s**2 - 16*s
Differentiate 2*l**4 - 559*l**3 + 174*l**2 - 64299877 with respect to l.
8*l**3 - 1677*l**2 + 348*l
What is the third derivative of -56753028*h**3 + 67294102*h**2 wrt h?
-340518168
What is the second derivative of 1102*r**3 + 2000*r**2 + 4355252*r?
6612*r + 4000
What is the derivative of -43094*k**2*v**3 - 1016*k**2*v + 371*v**3 - 5*v**2 - 3734*v wrt k?
-86188*k*v**3 - 2032*k*v
Differentiate -7*g**2*o**2 + 11863211*g**2 + 59*g*o**4 - 21*g*o wrt o.
-14*g**2*o + 236*g*o**3 - 21*g
What is the derivative of 455405695*m + 485431061?
455405695
What is the second derivative of 8115063*p**2 - 1331807*p wrt p?
16230126
What is the third derivative of 435*o**5 - 47343*o**3 - 99078785*o**2 wrt o?
26100*o**2 - 284058
Differentiate 8079127*g**2 + 8*g + 769720626.
161
|
{
"pile_set_name": "DM Mathematics"
}
|
and give i.
-21
Express ((6*s + 13 - 13)*(-2 + 5 - 1) + 3*s - 5*s - 2*s)*(-7*s**2 + 3*s**2 + 2*s**2) + 0 + s**3 + 0 in the form n*s**2 + v*s + d + p*s**3 and give n.
0
Express (-2 + 1 - 4)*(3*n - n + 0*n)*(-2*n + 0*n - n) as p*n + w*n**2 + v and give w.
30
Express (-4 + 4 + 1)*(i**4 + 2*i**4 - 4*i**4) + i**4 - 5*i**4 + 2*i**4 + 94 - 12*i**4 - 94 as g*i**4 + r + d*i**2 + x*i**3 + l*i and give g.
-15
Rearrange 4*o**4 - 2*o**4 + 12*o**2 - 18*o**3 - 3*o - 10*o**2 to the form n + w*o**3 + f*o**4 + r*o + g*o**2 and give g.
2
Rearrange (3 - 3 + 2*t)*(1 + 0 + 1)*(-3 + 3 + 2)*(-3*t - 4*t + 2*t) to c*t + w + q*t**2 and give c.
0
Rearrange -i - 3*i + 0*i + (3*i + i - 2*i)*(1 + 2 - 4) to the form u*i + f and give u.
-6
Express 15*k - 12 + 20*k + 12 as d + r*k and give r.
35
Rearrange 1 - 5*r - 6*r + 10*r to p + o*r and give p.
1
Express -2 - a**3 - 5*a**2 + a**3 + 0 + a + a**4 as c*a**2 + n*a + k + p*a**3 + z*a**4 and give z.
1
Rearrange -207*h + 24 + 418*h - 209*h + 14 to the form t + o*h and give o.
2
Rearrange 5*u - 3*u + 6*u to the form l + w*u and give w.
8
Rearrange (1 + d - 1)*(d + 3*d - 3*d) + 17 - 13 - 7 + d**2 to x*d**2 + z*d + l and give x.
2
Rearrange 7*k - 8*k**3 - 5 + 3 + 2*k**3 - 9*k - 2*k**2 to the form u + q*k + a*k**3 + m*k**2 and give q.
-2
Rearrange -1 + 558*g + 2 - 562*g + (0 + 0 + g)*(1 - 4 + 2) to the form q + b*g and give b.
-5
Express 18*o**4 - 1 - 22*o**4 + 4 - o**2 as s + f*o**2 + g*o**4 + p*o**3 + j*o and give g.
-4
Express (5*n**2 - 1292 + 1292)*(-1 - 4 + 4) in the form c*n + h + o*n**2 and give o.
-5
Rearrange (4 - 4 - 4)*(5*z + z - 2*z) to the form q*z + a and give q.
-16
Express 5*i**2 + 9*i**2 + i - i in the form o*i + w + v*i**2 and give v.
14
Express -28*q**2 - 2*q**4 - q - 13*q**3 + 13*q**3 as x*q + a + u*q**4 + f*q**2 + d*q**3 and give x.
-1
Express (-1 + 21*u + 1)*(2*u**3 - 3 + 3*u + 3) as t*u**3 + d*u + y*u**2 + p + n*u**4 and give y.
63
Express 34*a - 6*a + 81*a + 83*a as x + w*a and give w.
192
Rearrange -2*o - 2*o + 5*o + (6 + 0 - 4)*(-4*o + 4*o + 2*o) + 3*o + 0*o - 2*o + 2*o - 4*o + 0*o + o - o + o - 2*o - 3 + o + 0*o to i*o + n and give i.
4
Rearrange -11*c**2 + 5*c**2 - 1 - 7 + 5*c**2 to the form d + p*c**2 + z*c and give d.
-8
Rearrange t - 2 + 30*t**4 - 33*t**4 - 3*t - 2*t**2 + 3*t**2 to f*t**2 + i*t**3 + c + h*t**4 + z*t and give f.
1
Express 5 + 5 + r**3 - 3*r - 21 + 13 in the form j + d*r + x*r**3 + o*r**2 and give o.
0
Express -o**2 + 5*o**2 - 3*o**2 + 2*o as r + t*o**2 + g*o and give t.
1
Rearrange 45*s - 1 - 14*s + 1 to the form l + x*s and give x.
31
Rearrange -7*c**3 + 30*c**4 + 17*c**4 - 35*c**4 + (c**3 - 2*c**3 + 4*c**3)*(-3*c - 3*c + 4*c) to the form h*c**4 + g + x*c**2 + m*c**3 + z*c and give h.
6
Express -3*q - 7*q - 5*q in the form w + t*q and give t.
-15
Express (2*p + 2 - 2)*(2*p**2 + 2*p**2 - 3*p**2) + 2*p**3 + 1 - 1 - 124*p**3 + 19*p**3 - 51*p**3 in the form n + a*p + h*p**2 + r*p**3 and give r.
-152
Express (-39 + 2*y + 46 + y)*(y + 3*y - 2*y) in the form m*y + z*y**2 + o and give m.
14
Rearrange -20*w - 13 + 13 to the form l + s*w and give s.
-20
Express (m**3 - m**4 - m**3)*(1 - 1 + 1) - 1 - 2*m**4 - 25*m**2 - 3*m + 10*m**2 + 11*m**2 in the form v + z*m**4 + u*m**2 + t*m**3 + l*m and give v.
-1
Rearrange 7*p + 17*p + 4 - 2 to i + d*p and give d.
24
Rearrange -2 - 2*y**2 + y + 2*y**4 + 2 + y**4 to the form x*y**3 + b + n*y**2 + t*y**4 + d*y and give d.
1
Express -t**2 + 8 - 1 - 1 - 2 - 2*t**3 in the form s + v*t + l*t**2 + k*t**3 and give s.
4
Rearrange -2 + 0*h**4 + 2*h**4 - 2*h - 5*h**4 - h**2 to the form x*h**4 + j*h**3 + z + f*h + g*h**2 and give j.
0
Rearrange -v**4 - 1 + 2 + 0*v**3 + 2*v - v**2 - 2*v**3 + 0*v**4 to i + k*v + h*v**2 + l*v**4 + c*v**3 and give c.
-2
Express (4*l**3 - 3*l**3 - 2*l**3)*(5 - l + 2*l - 3) as m*l**3 + t + n*l + x*l**2 + s*l**4 and give s.
-1
Express (-7 + 26 + 10)*(4*r + 6 - 6)*(-5 + 5 - 2) in the form i*r + c and give i.
-232
Express 7*b + 2*b**2 - 7*b**2 - 5*b**3 + 12*b**2 - 6*b**2 in the form h*b**2 + t*b + c + a*b**3 and give t.
7
Rearrange -2*h**2 + 3 - 16 + 5*h - h**3 + 3 + 8 + 2*h**4 to y*h**2 + w*h**3 + m*h + f*h**4 + n and give f.
2
Express (w**2 + 2*w - 2*w)*((w - 3*w + w)*(-w + 2*w + 6*w) + 4 - 4 + 2*w**2 + (0 + w + 0)*(2*w + w - 4*w)) as q*w + x*w**3 + n*w**2 + i*w**4 + t and give i.
-6
Rearrange -m**3 + 5*m**3 - 12*m - 6*m**2 - 5*m**3 + 4*m**2 to h + i*m**3 + w*m**2 + y*m and give y.
-12
Rearrange 15*z + 5*z + 17*z to the form x + b*z and give b.
37
Rearrange 4*d - d - 62*d - 13*d + 2*d**2 to c + w*d**2 + x*d and give w.
2
Rearrange -m + 0 + 0 + (-2 - 3*m + 2)*(4 - 5 + 2) - 2*m + 3*m + 2 + 0 to the form h*m + c and give h.
-3
Rearrange -2*v**2 + v**2 - 8*v**2 + 4*v**2 to the form h*v + k + t*v**2 and give h.
0
Express (-o + o + o)*(0 + 0 - 2*o**2)*(o - 5*o + 5*o) in the form p*o**3 + j + v*o**4 + q*o + z*o**2 and give v.
-2
Rearrange -t**3 + 4*t**3 + 0*t**3 + (-t + 3*t - 4*t)*(-2*t - 3*t**2 + 2*t) - 5*t**3 + 3*t**3 + 0*t**3 to the form m*t + u + a*t**2 + g*t**3 and give g.
7
Express 8 + 38*o - 8 as d*o + s and give d.
38
Express (p - 3*p + 0*p)*(177*p**2 - 62*p**2 + 12*p**2) in the form s*p**3 + u*p**2 + d + n*p and give s.
-254
Rearrange -26 + 18*c**2 + 26 - 3*c**2 + c to t + l*c**2 + r*c and give l.
15
Rearrange -140 + 140 + 92*u to w*u + i and give w.
92
Express 17*d**2 + 7*d**2 + 11*d**2 as r*d + g*d**2 + t and give g.
35
Rearrange -2 + 2*r**3 - 10*r**2 + 8*r**4 - r + 0*r**2 + 0*r**3 + 12*r**2 to the form y*r**3 + x*r**4 + g*r**2 + q + l*r and give g.
2
Rearrange (1 + 0 + 0)*(-3 - 2 + 2)*(2*b - 4*b + b) to u + f*b and give f.
3
Express 5*h**2 + 6*h**2 - 6*h**2 in the form p*h + f + u*h**2 and give u.
5
Rearrange (-s + 3 - 4 - 2*s)*(-1 + 1 + 3) + 16*s - 9*s - 6*s - 4 to k + a*s and give a.
-8
Rearrange (-i + 2 - 2)*(-1 + 2 + 0) + 0 - 2*i + 0 - 17*i + 18 - 18 to f*i + g and give f.
-20
Express -2 - 5 - 11*t + 16*t as j*t + b and give j.
5
Express (-2*n + 2*n - n)*(-5 + 2 + 4)*(-6134 + 159*n + 6134) in the form h + b*n + w*n**2 and give w.
-159
Express 18*u - 7 + 3 + 6 - 2*u as d*u + j and give j.
2
Express 3*w**3 - 3*w - 5*w**3 - 4*w**2 + w + w in the form l + o*w**3 + r*w**2 + a*w and give r.
-4
Express -38*k + 67 - 67 as g + p*k and give p.
-38
Rearrange (2*p + 0*p - 3*p)*(8 + 7*p - 7 + 5*p)*(-3*p - 2*p + 3*p) to the form s*p**3 + w*p + q + k*p**2 and give s.
24
Express r + 4*r - 2*r + (-2 + 2 + 2)*(r + 0*r - 5*r) + 0*r + 2*r - r as v + a*r and give a.
-4
Express -18*s**2 + 2*s**2 - 8*s**2 in the form n*s + q*s**2 + v and give q.
-24
Express (-o - 2*o**3 + o + (o + 3*o - 8*o)*(-3*o**2 + 4*o**2 + 0*o**2))*(2 + 2*o - 2) as m*o + v*o**2 + n*o**4 + q + i*o**3 and give n.
-12
Rearrange -t + 3*t - 22*t - 9*t to the form a*t + d and give a.
-29
Rearrange -2*i - 3*i + 3*i + (4 - 4 - i)*(2 + 0 - 1) to n + a*i and give a.
-3
Express 9 + 43*i + 2*i**3 + 0*i**4 - 2*i**4 - 3*i**3 - 41*i in the form b*i**3 + a*i**4 + c + j*i + z*i**2 and give b.
-1
Express 16*d**4 + d**2 - 3*d**2 - 11*d**4 - d + 19*d**4 as b*d**3 + f + w*d**2 + u*d + i*d**4 and give u.
-1
Rearrange -7 + 4 + 2 + 2*q - 2*q + 5*q - 2*q + 2*q + q - 2*q + (-q + 3*q - 4*q)*(-1 + 2 - 3) - 2*q - q - 4*q to z*q + i and give i.
-1
Express 3*n**2 + 2*n**2 - 4*n**2 + (n + 5*n - 5*n)*(-3*n + 5*n - 4*n) + (-1 + 1 + n)*(0*n - n + 3*n) in the form c + q*n + k*n**2 and give k.
1
Express 2*s**3 + 40*s**2 - 5 - 76*s**2 + 3*s + 39*s**2 - s as v*s**3 + r*s + z*s**2 + o and give r.
2
Rearrange (4*a + 0*a + 0*a)*(-2*a + 7 + a - a**2 - 4) to the form m + z*a**3 + r*a + c*a**2 and give m.
0
Rearrange 13 + 8 - 135*i - 21 to the form g*i + h and give g.
-135
Rearrange 25*p + 109 - 109 to s + v*p and give v.
25
Express (5 - 4 + 2)*(-3 - 1 + 2)*(5*l - 2 + 2) as i*l + f and give i.
-30
Rearrange -39*k**2 - 36*k - 35*k**2 + 76*k**2 to r*k**2 + p + n*k and give r.
2
Express 9 - 3*k - 9*k - 9 as a + h*k and give a.
0
Express (-1 + 0 + 0)*(3*j + j - 2*j - j - 2*j + j - j + 4*j + 0*j + (-4 - 3 + 5)*(-j - j + 0*j)) as n + c*j and give c.
-7
Rearrange (-8*j - 7*j + 6*j)*(2 - 2*j - 2 + (-2*j + 0 + 0)*(-1 - 2 + 4) - 2*j + 3*j + j) to the form d + y*j + i*j**2 and give d.
0
Rearrange (-1 + 0 - 1)*(-9*x**3 + 6*x**3 - 9*x**3) to the form d + m*x**2 + b*x**3 + o*x and give b.
24
Express -2*k**3 - 4*k**2 + 12*k**3 + 4*k**2 -
|
{
"pile_set_name": "DM Mathematics"
}
|
ive prob of picking 1 b and 1 a.
8/55
What is prob of picking 2 h when two letters picked without replacement from hhhjjj?
1/5
Two letters picked without replacement from {x: 5, m: 2}. Give prob of picking 2 m.
1/21
What is prob of picking 2 u and 2 y when four letters picked without replacement from uuuuuyuuyuuu?
1/11
Calculate prob of picking 1 h and 2 s when three letters picked without replacement from sshwswswsssws.
14/143
Three letters picked without replacement from hbvbhvhbachajja. What is prob of picking 2 j and 1 b?
3/455
What is prob of picking 1 m and 1 d when two letters picked without replacement from {k: 1, d: 1, m: 2, i: 1, w: 2, q: 2}?
1/18
Two letters picked without replacement from vvwwvww. Give prob of picking 2 w.
2/7
Two letters picked without replacement from {s: 1, e: 2, c: 1, o: 1, z: 4}. What is prob of picking 1 e and 1 z?
2/9
What is prob of picking 1 m and 2 t when three letters picked without replacement from {x: 2, e: 8, m: 3, t: 6}?
15/323
Four letters picked without replacement from whiwiwwiwhiiwwwwi. What is prob of picking 3 w and 1 i?
18/85
Two letters picked without replacement from gbkbdkkkbkbkkbbgkdg. Give prob of picking 1 g and 1 d.
2/57
Two letters picked without replacement from {b: 2, y: 1, o: 4, u: 1, t: 8}. What is prob of picking 1 b and 1 y?
1/60
Four letters picked without replacement from {m: 1, d: 3, z: 3}. What is prob of picking 3 d and 1 z?
3/35
Four letters picked without replacement from {m: 2, g: 8, i: 1, c: 2}. Give prob of picking 1 i, 1 m, and 2 g.
56/715
Calculate prob of picking 1 k and 1 u when two letters picked without replacement from kwsskuukuussksbukbs.
25/171
Calculate prob of picking 1 e and 1 c when two letters picked without replacement from {d: 1, c: 1, v: 2, l: 2, e: 1, a: 1}.
1/28
What is prob of picking 2 w, 1 c, and 1 v when four letters picked without replacement from cfwcqvqwqffcwccof?
3/476
Calculate prob of picking 2 r when two letters picked without replacement from {r: 6}.
1
Two letters picked without replacement from {j: 7, w: 1}. Give prob of picking 2 j.
3/4
Calculate prob of picking 1 r and 1 f when two letters picked without replacement from {m: 2, w: 6, f: 3, r: 4}.
4/35
Three letters picked without replacement from jmzjeqemmjjztm. Give prob of picking 3 m.
1/91
Four letters picked without replacement from iioipiso. Give prob of picking 3 i and 1 o.
4/35
Two letters picked without replacement from {b: 2, h: 4, e: 3}. Give prob of picking 1 h and 1 b.
2/9
What is prob of picking 1 y and 1 k when two letters picked without replacement from ykkwwyyykkjvkkkkk?
9/34
What is prob of picking 1 c and 1 l when two letters picked without replacement from {c: 6, l: 2, y: 10}?
4/51
Four letters picked without replacement from ctibzcl. Give prob of picking 1 c, 1 i, 1 t, and 1 b.
2/35
What is prob of picking 1 a, 1 d, and 1 f when three letters picked without replacement from {r: 1, u: 1, f: 4, a: 7, v: 1, d: 5}?
140/969
Three letters picked without replacement from {j: 4, e: 2, s: 10, v: 3}. Give prob of picking 1 e and 2 v.
2/323
Four letters picked without replacement from xxwxwxxxxxx. Give prob of picking 4 x.
21/55
Calculate prob of picking 2 d when two letters picked without replacement from {d: 2, j: 2, v: 7}.
1/55
Four letters picked without replacement from jjcrcoaoajjracm. What is prob of picking 3 a and 1 r?
2/1365
Two letters picked without replacement from bfkbcifbkeiief. Give prob of picking 1 e and 1 k.
4/91
Two letters picked without replacement from rradkradrdar. What is prob of picking 1 k and 1 r?
5/66
What is prob of picking 1 k and 1 z when two letters picked without replacement from ksgzzkzzmkk?
16/55
Three letters picked without replacement from {n: 1, a: 2, d: 1, u: 1}. What is prob of picking 2 a and 1 d?
1/10
Calculate prob of picking 2 h and 2 x when four letters picked without replacement from {h: 4, x: 3}.
18/35
What is prob of picking 2 y when two letters picked without replacement from {y: 3, o: 17}?
3/190
Two letters picked without replacement from ookkkkkkkkkkookkkk. Give prob of picking 1 o and 1 k.
56/153
Two letters picked without replacement from wwiiiiiwiiiiwwww. What is prob of picking 2 i?
3/10
Two letters picked without replacement from hhaahahhaahazahzhha. What is prob of picking 1 a and 1 z?
16/171
Calculate prob of picking 4 z when four letters picked without replacement from {j: 3, z: 5}.
1/14
Calculate prob of picking 1 k and 1 z when two letters picked without replacement from {k: 2, z: 1, g: 1, t: 1, v: 2, b: 1}.
1/14
Two letters picked without replacement from {y: 2, g: 9, h: 2}. Give prob of picking 1 y and 1 h.
2/39
Two letters picked without replacement from yyyyyyvyyyyyvyyyyyyy. What is prob of picking 2 y?
153/190
What is prob of picking 1 f, 1 r, and 1 d when three letters picked without replacement from {f: 1, r: 3, k: 4, d: 6, u: 4, l: 2}?
3/190
Three letters picked without replacement from jjddddjddjddddddddj. What is prob of picking 2 d and 1 j?
455/969
Three letters picked without replacement from {t: 2, x: 6, y: 7}. What is prob of picking 2 y and 1 t?
6/65
What is prob of picking 1 v and 1 a when two letters picked without replacement from {v: 4, a: 1, t: 3, h: 12}?
2/95
Calculate prob of picking 1 y and 1 r when two letters picked without replacement from dzyytozoordo.
1/33
Calculate prob of picking 2 v and 2 j when four letters picked without replacement from sjjjjjjysvyvvjvyysj.
14/323
Three letters picked without replacement from {s: 2, o: 6, d: 2, i: 3, v: 4, r: 1}. Give prob of picking 1 i, 1 d, and 1 v.
1/34
Four letters picked without replacement from {t: 7, n: 7}. Give prob of picking 3 n and 1 t.
35/143
Two letters picked without replacement from {z: 8, n: 1, o: 2, f: 8, i: 1}. Give prob of picking 1 z and 1 f.
32/95
Two letters picked without replacement from axyabaabaabxyyxaxxy. Give prob of picking 1 y and 1 x.
20/171
What is prob of picking 3 r and 1 i when four letters picked without replacement from rrnlccrllnlncil?
1/1365
Three letters picked without replacement from {s: 2, o: 4, l: 4}. What is prob of picking 2 l and 1 s?
1/10
Four letters picked without replacement from {h: 4, i: 1, n: 7, w: 2, x: 2}. Give prob of picking 3 n and 1 i.
1/52
What is prob of picking 1 q and 1 g when two letters picked without replacement from {j: 1, v: 2, g: 5, q: 1}?
5/36
Calculate prob of picking 1 a and 1 f when two letters picked without replacement from {b: 2, f: 1, t: 1, m: 2, a: 1, q: 8}.
1/105
Three letters picked without replacement from {b: 2, m: 1, w: 1, k: 3}. What is prob of picking 2 k and 1 m?
3/35
Calculate prob of picking 1 r, 1 d, and 2 a when four letters picked without replacement from {d: 1, r: 2, h: 1, b: 2, s: 1, a: 2}.
1/63
Two letters picked without replacement from {s: 3, g: 5}. Give prob of picking 2 s.
3/28
Three letters picked without replacement from tdooozgzngdztddggoz. What is prob of picking 2 g and 1 d?
8/323
Three letters picked without replacement from {j: 3, q: 4, e: 9}. What is prob of picking 2 e and 1 q?
9/35
Calculate prob of picking 4 f when four letters picked without replacement from {f: 10, g: 4}.
30/143
Two letters picked without replacement from {u: 11, g: 4, w: 3}. What is prob of picking 1 g and 1 w?
4/51
Calculate prob of picking 1 h, 1 r, and 2 p when four letters picked without replacement from bkbhhbbbbhbrppbbpr.
1/170
Calculate prob of picking 1 n, 1 g, 1 z, and 1 i when four letters picked without replacement from {g: 2, n: 2, d: 6, z: 2, i: 3, j: 3}.
2/255
What is prob of picking 1 g and 1 l when two letters picked without replacement from {l: 8, v: 1, r: 4, w: 2, g: 1}?
1/15
Four letters picked without replacement from qqvvqvqq. Give prob of picking 1 q and 3 v.
1/14
Four letters picked without replacement from rgggvvvvlgggrrv. What is prob of picking 1 r and 3 g?
4/91
Four letters picked without replacement from emeemmfmme. What is prob of picking 1 f and 3 e?
2/105
Two letters picked without replacement from {l: 1, i: 6, d: 2, w: 2}. What is prob of picking 1 w and 1 i?
12/55
What is prob of picking 2 k and 1 f when three letters picked without replacement from {l: 1, k: 13, f: 3}?
117/340
Two letters picked without replacement from ttssstsststt.
|
{
"pile_set_name": "DM Mathematics"
}
|
0.38 + 2.38. Let r = s - 1.5. Let u = -3.991 + -0.009. Which is the second biggest value? (a) u (b) 3/4 (c) r
c
Suppose -4*w - 148 = -41*w. Let x = -86 - -81. What is the second smallest value in 4/3, w, x?
4/3
Let j = -9584 + 9596. Let d be -2 + (0 - 17/(-7)). Which is the second smallest value? (a) d (b) j (c) -0.2
a
Let h = 2.88 + -3.88. Which is the smallest value? (a) h (b) 0.5 (c) 2/53
a
Let v = -6677/2 - -3338. What is the third smallest value in v, -2/3, -0.1, 0.2?
-0.1
Suppose -55*n = -192*n + 274. What is the fifth smallest value in -4, 1, n, -0.08, -5?
n
Let c = -41.6 - -32.6. Let r be 5*-2*((-47)/45 - -1). What is the third biggest value in -8, r, c?
c
Let j be 12744/(-189) - (2 + -1). Let n = j + 69. Which is the smallest value? (a) n (b) 0 (c) -0.07 (d) 0.4
c
Let v = -10953.03 - -10953. Which is the second biggest value? (a) -3 (b) v (c) 0.07 (d) -9
b
Let q = -19315/14 - -9640/7. Let k = 3 + -3. Let z = 0 + k. Which is the second biggest value? (a) -5 (b) z (c) -1/8 (d) q
c
Let c = -3.96 - 0.04. Let m = 7.33 - 8.78. Let b = 1.95 + m. What is the second smallest value in c, b, 4?
b
Let z be 2/6*(-5 + 5). Let g be 3 + (-440)/152 - 21/171. Which is the smallest value? (a) z (b) g (c) 0.5
b
Let o = 1057.3 - 1796.4. Let v = o - -739. What is the second smallest value in -0.4, -0.5, v, -2?
-0.5
Let p = 0.03 - -1.97. Let r = -272 + 236.7. Let v = -35.2 - r. What is the third smallest value in v, -3/7, p?
p
Let i = -183099.8 - -183099. Let d(j) = -2*j**2 + 4*j - 3. Let x be d(2). What is the second biggest value in i, x, -5?
x
Let v = -74.066 + 70.066. Let o be (-1)/3 - 11/(-15). Let x = -1 + 1.2. Which is the fourth biggest value? (a) 4 (b) x (c) v (d) o
c
Suppose -2*h = -4*u + 10, -u = -573*h + 575*h. Which is the fourth biggest value? (a) 5 (b) -4/9 (c) 0.06 (d) u (e) 1
c
Suppose -3*l + 4*l = 3, -4*s + l = 695. Let y = s + 345/2. What is the second smallest value in 4/13, 0.2, y?
0.2
Let l be 166/(-249) + -2 + 3. Let r = 0.4 - -0.1. Let u be (-31)/(-114) - 3/18. Which is the smallest value? (a) u (b) l (c) r (d) -0.2
d
Let u = -4.0377 - -0.0377. Let n = -4.3 - u. Let f(w) = w**3 - w**2. Let o be f(-1). What is the second smallest value in -13, o, n?
o
Let r = -3.3 - -1.5. Let a = 1.24 - -8.96. Let y = a - r. What is the third biggest value in y, 0, 2?
0
Let j = 44/3 - 89/6. Suppose -54 = 4*f + 4*y - 2, -5*f = -2*y + 37. Let m be 3/f + (-195)/(-180). What is the smallest value in m, 0, j?
j
Let f = -121.53 - 0.47. Let y = f + 121.6. What is the third smallest value in y, 1, 1/5?
1
Let j be 5/((-250)/20)*(-10)/(-8). Which is the third biggest value? (a) -0.03 (b) 4 (c) j (d) -5 (e) -3/11
e
Let d be 2/12*111/(-74). What is the third biggest value in 27/5, d, 0.19?
d
Let u = -5.69 - -5.59. Let f = 107 - 107.4. Which is the second biggest value? (a) 2/19 (b) u (c) f
b
Let o be 296/(-56) - 2/(-7). Let h be (-4)/o*2/(-8). Let z be (-97)/(-1164)*-1*(2 + 1). What is the third smallest value in 2/17, h, z?
2/17
Let m = -0.01577 + -8.98423. Which is the smallest value? (a) -3 (b) m (c) 8 (d) -1/3
b
Suppose -3*v + 48 = -6*v - c, 0 = 5*v + 3*c + 88. What is the second biggest value in -3/38, v, -0.1?
-0.1
Let q = -884 + 824. What is the smallest value in 0.2, 0, -3, q?
q
Let n = 343.9 - 344.4. Which is the biggest value? (a) 9 (b) n (c) -139
a
Let g = 0.19843 + 69.80157. What is the third smallest value in 4, -4/11, 5, g?
5
Let s = -0.1221 + -3.8779. Which is the second biggest value? (a) -5 (b) -2 (c) s (d) 2/3
b
Let r = 20/3 + -97/15. Let o = 8.827 + -8.727. What is the second smallest value in -4, -3, r, o?
-3
Let r = 83 + -80. Let n be ((-2)/r)/(4/408). Let m = n + 66. Which is the second smallest value? (a) -0.3 (b) m (c) -3
b
Let g be (0 - (-6)/4)/(616/(-364)). Let s = g - -7/11. Which is the biggest value? (a) -0.064 (b) s (c) -0.1
a
Let z = -102.71 - -103.42. Which is the biggest value? (a) -12 (b) 0.2 (c) 4 (d) -2/15 (e) z
c
Suppose -407*i - 31088 = -871*i. What is the smallest value in 0.049, i, 2/13?
0.049
Let h = 26616 - 26575. What is the biggest value in h, 5, -13, 3?
h
Let u = -0.32608 - 994.63392. Let q = -1035 - u. Let f = q + 40. Which is the second biggest value? (a) f (b) 0.3 (c) 2/19
c
Suppose -w + 3 = -0*w. Let d = 75 - 49.5. Let r = 25.42 - d. Which is the second biggest value? (a) r (b) 5 (c) w
c
Let p(n) = n**2 + n - 2. Let x be p(0). Let q be 774/1260 + x*(-2)/(-10). Which is the second biggest value? (a) q (b) 0.5 (c) -1/4
a
Let h = -6857/23 + 298. Which is the second smallest value? (a) -3/2 (b) h (c) -1 (d) -2 (e) -3/8
a
Let h = 2870.2 - 2865. Let q = 16 - 14. What is the third biggest value in 3, h, q, 1?
q
Let h be 86/(-110) + 9/15. Let r = -78 + 78.53. Let l = 0.63 - r. What is the second biggest value in -3/7, l, h, -0.2?
h
Let b be 94/2*(-999)/243. Let n = -193 - b. What is the second biggest value in n, 0.3, 13/4?
0.3
Let q = -0.0234 - 353.9766. Let w = q - -353.5. Which is the second smallest value? (a) w (b) -0.3 (c) -42
a
Let m be 3 - (-133)/(-42) - (-37)/6. What is the fourth biggest value in m, -1, -1/3, 8?
-1
Let t = -3902.6 - -3902.9. Which is the fourth biggest value? (a) t (b) 13 (c) 0 (d) -162
d
Let i = 0.563 + -314.563. Let y = 317 + i. Which is the second biggest value? (a) y (b) -1.1 (c) -0.1 (d) -4
c
Let f = -10403 + 10401.5. Which is the smallest value? (a) -1/48 (b) f (c) 0
b
Let y(m) = m**3 - 16*m**2 + 25*m - 154. Let i be y(15). What is the fifth smallest value in -0.3, 1, 15, 3, i?
15
Let d = -8 + 4. Let r = 13/33 + 3/11. Let k = -41.32 + 41.12. Which is the smallest value? (a) k (b) r (c) d
c
Let q = 9780 - 9776. Which is the second smallest value? (a) -894 (b) -0.5 (c) q
b
Suppose 0 = 3*j - 4*z - 50, -5*j + 10*j + 2*z - 66 = 0. Suppose -50 = 9*v - j. Let g = 0.74 + -0.8. Which is the second biggest value? (a) g (b) v (c) 4
a
Let s = -47 - -51. Let w = 1340.1 - 1335.1. Let g = -0.7 + 0.2. What is the second smallest value in w, g, 2/7, s?
2/7
Let y = 0.8 + -0.8. Let i = -13860 - -13801. Which is the second biggest value? (a) i (b) 0.3 (c) y
c
Let j = -24.8 - -0.8. Let u = -20.9 - j. Let z = -3.5 + u. Which is the fourth smallest value? (a) z (b) -0.5 (c) 0.3 (d) -3
c
Let r = -32227.7 - -32228. What is the biggest value in r, -2, 49/6?
49/6
Let y be (952/12 - 13)*15*12/15. What is the second smallest value in y, -5, -4/3, -3?
-3
Let z = -26 - -25. Let b be 26/143*(-3)/2. Let x = -4/55 - b. What is the smallest value in x, -3/4, z?
z
Let s be (-8)/(-152)*19 + (1 + 0 - 0). What is the third smallest value in s, 2/5, 126, -5?
s
Let y = 2026 + -60763/30. Let n = -2/5 + y. Which is the fourth biggest value? (a) n (b) 0.4 (c) 1 (d) 5
a
Let f = -2028 + 2030. Which is the smallest value? (a) -0.2 (b) f (c) -0.76 (d) 2/13
c
Suppose 2232 - 202 = -29*z. Let n be z/(-21) - (-3 + -2 + 9). Which is the third biggest value? (a) -16 (b) n (c) 2
a
Let s be 63/(-35)*(-39)/(-117) + (-63)/(-55). What is the biggest value in s, 33/7, 4/9, -0.5?
33/7
Let o = 1253/4 - 314. Let q = 0.11 - -3.89. Let x = -4.3 + q. Which is the biggest value? (a) x (b) o (c) -2
a
Let z = 4.03 + -0.03. Let g = 0.16 - 0.23. Let i = 148489.8 - 148490. What is the fourth smallest value in -5/3, g, z, i?
z
Let o = 299.0492 - 0.0492. What is the third biggest value in 2, o, -2/5?
-2/5
Let x = 404498 - 1213493/3. Let t = 265 + -1329/5. Which is the second biggest value? (a) t (b) -0.3 (c) 3 (d) x
d
Let r = 4.1 - 0.1. Let y be (-62)/(-22) + (-18 - -15). Let o = 243 - 242. What is the third biggest value in -4, r, y, o?
y
Let w = 8706/7 - 17391/14. Which is the third biggest value? (a) 1 (b) -5 (c) -3 (d) w (e) -4
c
Let x = -0.045 + -15.955. Let r = x - -15.555. Let i = r - 0.055. Which is the fourth biggest value? (a) -0.4 (b) i (c) -5 (d) -6
d
Let k = 0.092 + -100.092. Let m = 105 + k. Let w be ((-27)/12 - -2)*-1. Which is the biggest value? (a) 1 (b) m (c) w (d) -1/7
b
Let y = 67.044 - 67. Let o = y - 1.044. Let d be ((-1 - -3)*1)/8. Which is the second smallest value? (a) -2 (b) o (c) d
b
Let v be (-3)/(0 + -1) - (4 - 24/18). Let m be 6/((-8)/(-4) - 4). Which is the smallest value? (a) 3/8 (b
|
{
"pile_set_name": "DM Mathematics"
}
|
u - 3*u**2. Give d(l(t)).
-20*t
Let w(a) = 16*a**2 + 3*a. Let p(b) be the first derivative of -21*b**2 - 2*b + 2063. Give p(w(l)).
-672*l**2 - 126*l - 2
Let g(p) be the second derivative of -p**4/6 - 41*p**2/2 + 5528*p. Let z(t) = 130*t. Calculate g(z(m)).
-33800*m**2 - 41
Let b(z) = z + 1. Let g(p) = -271 - 101 + 15 - 86*p - 79*p - 73*p. Let v(h) = 357*b(h) + g(h). Let l(c) = 2*c**2. Calculate v(l(o)).
238*o**2
Let q(n) = 2*n. Let m(w) be the third derivative of -766*w**5/15 + 33*w**2 - 4*w. Calculate q(m(j)).
-6128*j**2
Let g(d) be the first derivative of 2*d**2 + 55*d - 19. Let r(h) = 6*h + 82. Let f(w) = -8*g(w) + 5*r(w). Let v(i) = 2*i**2. Determine f(v(q)).
-4*q**2 - 30
Let k(w) = -35*w. Let q(h) = -549*h**2 + 2*h - 637. What is q(k(g))?
-672525*g**2 - 70*g - 637
Let v(p) be the second derivative of p**4/12 - 11*p. Let r(w) be the third derivative of -23*w**4/8 + 8*w**2 - 16*w. What is r(v(k))?
-69*k**2
Let q = -3 + 5. Let j(i) = q*i - 4*i**2 - 2*i. Let t(y) = 357*y - 32. Let v(g) = 1158*g - 104. Let n(a) = 13*t(a) - 4*v(a). Determine j(n(x)).
-324*x**2
Let w(g) = g**2 - 28*g. Let d(q) = -33843524*q - 34 + 33843524*q + q**2. Calculate w(d(r)).
r**4 - 96*r**2 + 2108
Let q(j) = 9961940*j. Let x(o) = 2*o**2. What is x(q(s))?
198480497127200*s**2
Let w(n) = 34*n. Let u(p) = -485*p + 2888. Give u(w(d)).
-16490*d + 2888
Let j(f) be the third derivative of -49*f**5/60 + 2*f**2 - 455*f + 3. Let v(c) = -c + 4*c - 2*c + 2*c. Calculate v(j(a)).
-147*a**2
Let y(p) = -21*p - 10. Let v(q) = -370*q - 315. Let n(l) = 33*l + 28. Let r(g) = -45*n(g) - 4*v(g). Give y(r(h)).
105*h - 10
Let m(h) be the second derivative of h**4/4 + 403*h**2 + 29*h - 36. Let y(c) = -2*c**2. Calculate m(y(z)).
12*z**4 + 806
Let p(l) = 49*l**2. Suppose 4*n = 3*a + 19, -n - 3*a = 8 + 6. Let r(y) = -4 + 3 + 2*y + n. Determine r(p(i)).
98*i**2
Let u(t) = 159577982*t. Let x(q) = q. Calculate u(x(i)).
159577982*i
Let q(c) = -c**2. Let w(v) = -v**3 + 8*v**2 + 11*v - 66. Let g be w(8). Let m(b) = 12*b + g*b - 31*b + 17*b - 3. Determine m(q(k)).
-20*k**2 - 3
Let a(g) = 5*g**2 + 5*g - 10. Suppose j - 10*j + 27 = 0. Let r(q) = -2*q**2 - 3*q + 6. Let n(l) = j*a(l) + 5*r(l). Let f(i) = -i - 15 + 15. Calculate f(n(c)).
-5*c**2
Let r(i) be the third derivative of -5*i**7/504 + 9*i**4/4 + 124*i**2. Let m(j) be the second derivative of r(j). Let t(q) = 9*q**2. Calculate t(m(x)).
5625*x**4
Let a(p) = -p**2 - p + 6250. Let o(w) = -972*w. Calculate a(o(s)).
-944784*s**2 + 972*s + 6250
Let g(j) = 2016*j**2 + 2*j + 8. Let y(h) = 16*h. What is g(y(v))?
516096*v**2 + 32*v + 8
Let f(r) = 8*r - 4. Let u be (-1)/((-9)/(-216)*4). Let d(j) = 2*j**2 - 7. Let z(o) = -o**2 + 3. Let t(g) = u*d(g) - 14*z(g). Calculate f(t(h)).
16*h**2 - 4
Let j(i) = 2*i**2. Let c(w) be the first derivative of 2*w**3 - 127*w**2/2 - 4505. Give c(j(n)).
24*n**4 - 254*n**2
Let t(p) = -100*p + 17 + 62*p + 5*p**2 + 17*p + 21*p. Let u(o) = -25*o. What is t(u(r))?
3125*r**2 + 17
Suppose 3*t - 1 - 32 = 0. Let j(r) = 11 - 2*r - t + 0*r. Let l(c) = -10*c + 16. Let u(q) = -2*q + 3. Let y(x) = -3*l(x) + 16*u(x). What is y(j(w))?
4*w
Let g(v) = -405637*v. Let z(b) = 22*b - 14. What is z(g(p))?
-8924014*p - 14
Let s(f) be the second derivative of 7*f**4/12 - 877*f. Let r(q) = -75*q. Calculate s(r(k)).
39375*k**2
Let f(x) = x. Let u(d) = 7*d**2 + 5*d + 1. Let h be u(-4). Let v(y) = -89*y - h*y + 320*y. Determine v(f(a)).
138*a
Let h(d) = -166*d. Let f(n) = -32*n - 108. Let p(t) = -7*t - 25. Let c(v) = 6*f(v) - 26*p(v). Give h(c(a)).
1660*a - 332
Let k(q) = -3885*q**2. Let b(g) = -2636*g**2. Calculate b(k(x)).
-39785741100*x**4
Let o(j) = 2699*j**2. Let p(d) = 5074*d**2. Give p(o(b)).
36962065474*b**4
Let d(k) = -230441*k**2. Let x(a) = 101*a. Calculate d(x(t)).
-2350728641*t**2
Suppose 25*v + 36 = 31*v. Let c(f) = v*f**2 - 39*f + 39*f. Let u(d) = d**2. Determine u(c(r)).
36*r**4
Let y(b) = 21*b**2. Let d(v) = -294 - 7*v - v + 274 + 3*v + 6*v. Give y(d(x)).
21*x**2 - 840*x + 8400
Let l(h) = -7*h**2. Let x be 165/(-2) + 0 - 53/(-106). Let v = x + 84. Let m(t) = -6*t**2 + 0*t**v - 3*t**2. Determine l(m(r)).
-567*r**4
Let q(y) = y. Let s(m) = -35733841*m. Calculate s(q(r)).
-35733841*r
Let a(f) = -217*f. Let n(h) = 2*h + 42. Let u(r) = 6*r + 119. Let z(m) = 7*m + 76. Let c be z(-10). Let s(v) = c*u(v) - 17*n(v). What is s(a(l))?
-434*l
Let r(y) = 1528*y. Let x(g) = -102168*g + 51082*g + 51084*g. What is x(r(k))?
-3056*k
Suppose -5 = k - 70. Suppose -f = -b, 0 = 5*b - f - 4. Let s(t) = b + 86*t**2 - 1 - k*t**2. Let y(j) = -2*j**2. What is s(y(o))?
84*o**4
Let g(f) = -18*f**2. Let i(d) be the first derivative of -204*d**2 - 4798. Calculate i(g(y)).
7344*y**2
Let p be (-2 - (-15)/(-5)) + 27. Let v(y) = p*y - 6*y - 11*y - 7*y. Let h(c) = 8*c**2. Determine v(h(w)).
-16*w**2
Let d(a) = 3*a. Let c(j) be the second derivative of 0 + 125*j + 0*j**2 + 19/6*j**3. Calculate d(c(k)).
57*k
Let j(b) = 130*b**2. Let w(u) be the first derivative of 10*u**3 - 988. What is w(j(y))?
507000*y**4
Let v(y) = -y**2. Let q(o) = 9484618 + 679*o - 9484618 - 220*o. Calculate v(q(k)).
-210681*k**2
Let c(r) be the third derivative of 0*r + 12*r**2 + 1/24*r**4 + 0*r**3 + 0. Let u(v) = -7*v. What is u(c(f))?
-7*f
Let l(w) = -w - 259013644. Let c(y) = -y. Determine l(c(u)).
u - 259013644
Let r(q) = -q. Let u(l) = 4*l - 4. Let m(a) = -16*r(a) - 3*u(a). Let h(y) = -3*y - 4. Let d(p) = -4*p - 5. Let f(v) = 4*d(v) - 5*h(v). Determine m(f(x)).
-4*x + 12
Let n(w) = 5*w - 2. Let o be n(1). Let c(u) = -4*u + u + 2*u + o*u. Let x(f) = 9*f**2 - 1 + 3 - 2 - 10*f**2. Determine c(x(l)).
-2*l**2
Let p(i) = -i**2. Let x(s) = -34034563*s**2. Determine x(p(y)).
-34034563*y**4
Let z(v) = -23504*v**2 + 23505*v**2 - 88*v - 150*v. Let m(l) = l. What is m(z(s))?
s**2 - 238*s
Let y(i) = i**2 - 6*i - 23. Let m(h) = -9365*h. Calculate m(y(w)).
-9365*w**2 + 56190*w + 215395
Let d(m) = -3*m. Let x(l) = -1800378*l. What is x(d(n))?
5401134*n
Let n(x) be the first derivative of -4*x**3/3 - 50*x + 75. Let q(j) be the first derivative of n(j). Let p(i) = -6*i**2. Give q(p(d)).
48*d**2
Let f(r) = -282*r + 134*r + 151*r. Let w(y) = -553*y**2. Calculate f(w(j)).
-1659*j**2
Let a(o) = 786*o**2. Let u(n) = 597*n + 178. Calculate u(a(x)).
469242*x**2 + 178
Let m(d) = 7*d**2. Let o(j) = -386707*j**2. Calculate m(o(t)).
1046796126943*t**4
Let n(y) = 7366*y. Let d(x) = 2*x**2 - 40*x + 20. Calculate d(n(a)).
108515912*a**2 - 294640*a + 20
Let s(i) = -49964049*i**2. Let o(c) = -2*c. Determine s(o(z)).
-199856196*z**2
Let a(z) = -1131*z + 705*z + 570*z. Let n(t) = 7*t. Calculate n(a(x)).
1008*x
Let x(j) = -168651*j. Let y(t) = -t - 41. What is x(y(n))?
168651*n + 6914691
Let o(b) = -15*b**2 + 6. Let u(i) = -i**2 + 8 - 57*i**2 + 41*i**2. Let k(g) = -4*o(g) + 3*u(g). Let p(d) = -7*d. What is k(p(a))?
441*a**2
Let o(p) = 15. Let g(h) be the third derivative of h**4/24 - 8*h**3/3 - 56*h**2. Let v(f) = 4*g(f) + 5*o(f). Let c(u) = 2*u**2. Give c(v(x)).
32*x**2 + 176*x + 242
Let a(q) = -83754274*q**2. Let h(b) = -2*b**2. Determine a(h(f)).
-335017096*f**4
Let s(f) = 9718738*f**2. Let q(p) = -3*p**2. Give s(q(z)).
87468642*z**4
Let v(a) = 2912681*a. Let m(o) = -2*o - 6. Determine v(m(n)).
-5825362*n - 17476086
Let t(j) = 1737579*j**2. Let s(g) = 508*g. Determine s(t(u)).
882690132*u**2
Suppose -5*o + 353 = 2*i, -3*o - o = -2*i - 286. Suppose o = 15*z - 124. Let g(d) = -7*d - 11*d + z*d. Let j(m) = 11*m**2. Determine j(g(s)).
275*s**2
Let q(o) = -1525*o. Let w(n) be the second derivative of n**4/6 + 4*n + 6. Calculate q(w(f)).
-3050*f**2
Let x(q) = 3*q**2. Let s(h) be the first derivative of 0*h**2 + 5/3*h**3 + 0*h + 7. Let k(c) = -2*s(c) + 5*x(c). Let w(t) = -8*t**2. Determine w(k(l)).
-200*l**4
Let v(j) = 2*j. Let w(c) = 127700*c**2 + 2. What is w(v(f))?
510800*f**2 + 2
Let q(v) = 20*v + 54 - 19*v + 12*v - 29 - 25. Let g(i) = i + i**2 - i. Give g(q(x)).
169*x**2
Let g(i) = 3*i + 4. Let s(j) = -10*j + 10. Let h(f) = -2*f + 3. Let b(c) = 25*h(c) - 6*s(c). Let x(u) = -4*b(u) + 15*g(u). Let l(w) = 22*w**2. What is l(x(y))?
550*y**2
Let m(b) be the third derivative of -b**5/10 + b**2 - 1. Suppose 3*v - 19 = 11. Let a(n) = -9*n**2 + 15*n**2 - v*n**2. What is a(m(d))?
-144*d**4
Let b(o) = 928199558 - 928199558 + 92*o. Let a(h) be
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{
"pile_set_name": "DM Mathematics"
}
|
4*s + 4*z, -i*z = 4*s + 3 + 17 for s.
-2
Let k = -741 + 747. Solve -h = -6*m + 4*m - k, -h = -3*m - 11 for m.
-5
Let o = 9 - 7. Suppose 0 = -o*j + 5*f + 23 + 27, -3*f = -12. Suppose -5*x - h + 3*h = -5, j = 5*x + 4*h. Solve -5*y - 5 = -3*m, 2*m + x*y = -0*y - 3 for m.
0
Suppose 57*b - 77*b + 120 = 0. Solve 3*f = f - o - 1, -3*f = -3*o + b for f.
-1
Suppose 3*j + 3*y - 15 = 9, -4*y + 27 = 3*j. Suppose -3*v + 12 = v + c, j*v = -3*c + 22. Solve 0 = -4*i - 5*f, -v*i = -i - 2*f for i.
0
Let k(r) = 101*r + 105. Let j be k(-1). Solve -x - 4*c = -j*x + 10, 9 = 3*x - 3*c for x.
2
Let x = 17 + -12. Let d(t) = t**3 + t**2 - t. Let q be d(2). Suppose 0*r = -5*f + 2*r + q, 3*f - r - 6 = 0. Solve 0*m - m = f*s - 7, 0 = -3*s - x*m for s.
5
Suppose 7*a - 11 = 17. Suppose 2*p - 12 = -a*p. Solve 3*m + 15 = -2*b, 3*b - 5 = -p*m - 20 for m.
-3
Let i = 171 + -151. Let l be 9 - 2*i/8. Solve l*n + 2 = -2*p, p - 3*n + 16 = 5 for p.
-5
Suppose 8*h + 16 = 10*h. Suppose -2*l - 2*l = -h. Suppose 7 + 9 = 4*m, 0 = 2*p + 4*m - 24. Solve -i = -2*n - l*i, 0 = n - p*i for n.
0
Suppose 3*x - 15 = -5*g, -23*x = -22*x + 4*g - 5. Solve 0*d + d = -2*q - 4, -5*d = x*q for q.
-4
Let k = 239 + -237. Solve 3*v - 2*u - 6 = 0, k*u = -2*v + u + 4 for v.
2
Let w = -1 + -3. Let j be -32*-1*(-2)/w. Suppose 2*x = 3*n - 2, 3*n + 4 - 11 = x. Solve 14 = 4*m + 2*q, 3*q - j = -m - n*m for m.
5
Let p(o) = o**3 + 6*o**2 + 4*o - 2. Let x = -29 + 24. Let v be p(x). Solve 2*r - v = w, -5*w + 4*r + 33 = 6*r for w.
5
Let l be (8/3)/((-3)/(-45)). Let k(x) = x + 12. Let c be k(-4). Let j be 4 + (-4)/(c/(-4)). Solve -j*h - 5*q + l = -h, 2*q - 10 = 0 for h.
3
Let n be 13/1 + 8/(-1). Solve 0*q - 3*q - n*x = 0, -x + 3 = 0 for q.
-5
Let b(y) = -y**3 - 3*y**2 - 3*y - 3. Let m be b(-2). Let c = 10 + m. Solve -3*q + 11 = -2*k, -4*k + 5*q - 28 = -c for k.
-1
Let n(j) be the third derivative of j**5/30 + j**4/24 - j**3/2 + j**2. Suppose -31*h - 34 = -14*h. Let s be n(h). Solve 3*b + y = 7*b - 9, 2*b = -s*y + 1 for b.
2
Suppose 5*s - 31 = -3*a, 16 = a + s + 5. Solve l + 4*w = -3*l + 12, 5*l + 2*w - a = 0 for l.
2
Suppose 264 = l + 262. Solve 3*s + 17 - 2 = 2*q, 0 = 5*s - l*q + 25 for s.
-5
Suppose -6*c = 4*o - 34, -16 = -4*c - 7*o + 6*o. Solve 2*i = -3*z - 1, i = c*i - 3*z + 19 for i.
-5
Suppose -t + 4*t - 17 = a, -4*a = -4. Solve 8 = -2*q, -2*c - t*q = -3*q + 22 for c.
-5
Let v = -583 + 587. Solve -4*j + 1 = w, w - j - v*j = 10 for w.
5
Let q(m) = -8*m - 30. Let o be q(-4). Solve -4*h + 5*t + 18 = -11, t = o*h - 7 for h.
1
Suppose -2*f - f - 4*k + 29 = 0, 10 = 5*f - k. Suppose -q - 2*z = -4, 0*q - 6 = 4*q - f*z. Solve -4*n - 5*b + 3*b - 20 = q, 26 = -5*n - 3*b for n.
-4
Let g be 3/5 + (96/15 - 4). Suppose -g*j - 96 = -4*b, 2*j - 52 - 24 = -4*b. Solve 0 = -5*i - 4*h + 15, b = 4*h + 1 for i.
-1
Suppose -3 = 3*d, 5*d + 2 = 4*j - j. Suppose 8598 = f + 8594. Let z = j + f. Solve 0 = -z*q - 3*y + y - 4, -8 = -2*y for q.
-4
Let t = 53 + -53. Suppose t = -2*d + 6 + 2. Solve -4 = -x + 2*x + 2*u, 0 = 4*x + 2*u + d for x.
0
Suppose 2*j = 4*j - 8, -3*j + 7 = -s. Let c = -1 + 1. Let i be (-3)/2*(0 + -2) + 0. Solve 2*u - s*m + 9 = c, 0*m + i = 4*u - 3*m for u.
3
Suppose -3*w - 80 = w. Let p be 5*((-672)/w)/4. Let d be (-12)/14*p/(-9). Solve -3*t - s - 2 = d*s, 3*t + s = -10 for t.
-4
Let q be 1/(-2) - (-57)/2. Let d be 0 - 88 - (-2 - 2). Let v = -82 - d. Solve 4*k = -2*b - q, 0 = v*b - 7*b - 20 for k.
-5
Let g be 429/65 - 2/(-5). Solve 2 = h + 2*p, 4*h - 1 - g = -5*p for h.
2
Let k be (-9 + -1)*2/5. Let i(n) be the second derivative of n**4/12 + n**3/3 - n**2 - 9*n. Let q be i(k). Solve 3*m + q = c - 0*m, -10 = -5*c - 5*m for c.
3
Suppose k + 5*y + 5 = -12, 2*k = -2*y - 2. Solve 3*t = -t + 4, k*t + 12 = -3*s for s.
-5
Let a be (-186)/(-16) + 39/104. Solve 24 = 5*l - 5*f + 8*f, l - 5*f + a = 0 for l.
3
Suppose n + 6 - 17 = 0. Let y = 2 + 0. Suppose y*z - 25 = -3*z. Solve n = i - 5*k, -z*i = k + 14 + 9 for i.
-4
Suppose 5*x + 14*m - 15*m - 24 = 0, 4*m = 4. Solve 3*s + 0*s = -2*n + 16, 0 = s - x*n + 23 for s.
2
Suppose 2*a - 6 = 2*z - 4, 5*a + 3*z = 21. Solve -a*l = -o - 5, -l + o - 1 = -0 for l.
3
Let q be ((-10)/(-4))/(3/(-24)). Suppose 5*c - 5*o = -105, -c - 11 = -0*c + o. Let z = c - q. Solve 6 - 22 = 4*h + 4*b, 2*h - z*b - 10 = 0 for h.
-1
Suppose -47*w = -50*w + 9. Solve w*j + t = -13, -5*j - t - 21 = t for j.
-5
Suppose 0 = -2*q + 10. Suppose -17*z - m = -13*z - 374, 2*z + 4*m - 194 = 0. Let o = z - 92. Solve -n = -d + q, -2*d + 3 + o = 0 for n.
-3
Suppose c = b - 2, 0*b - 3*c = -2*b + 6. Solve p + 3*v - 14 = b, 0 = 3*p - 0*v - 2*v + 13 for p.
-1
Let i(u) = -2*u + 6. Let g be i(0). Let w(c) = -6*c + 18. Let q be w(g). Let r = -14 - q. Solve -5*m = -2*s - 11, s - 4*m + 3*m + r = 0 for s.
-3
Let d(b) = -b**3 - 7*b**2 - 3*b - 16. Let o be d(-7). Solve 2*c - 4*c = o*t - 25, -t = -5 for c.
0
Let g = 472 - 470. Solve 6 = g*o, -2*d + 1 = o + 8 for d.
-5
Suppose -11*s = -13*s + 6, -j + s = 0. Solve 5*g + 5*f + 22 - 52 = 0, -j*g + 5*f = 14 for g.
2
Let q = -1 + 4. Let l = 7 - q. Let t = 89 + -89. Solve 4*w - 5 = 3*w - 3*v, -5*w - l*v + 14 = t for w.
2
Let w be (1/3)/(2/(-30)). Let l be (-36)/10*20/8. Let j = w - l. Solve 3*t + 2 = -5*d - 13, 3*t = j*d + 12 for d.
-3
Suppose -201*t = -215*t + 266. Solve t = -3*m - 5*b, -5*m + 3*b = -b + 7 for m.
-3
Let r be 100/36 + (-3 - 29/(-9)). Suppose 3*m - r*o + 11 + 1 = 0, 0 = 3*m + 3*o - 12. Solve 6*v + d + 20 = v, -5*v + d - 10 = m for v.
-3
Let f(w) = -w**2 - 18*w - 26. Let l be f(-16). Let g be (-1)/((-1)/5*1). Let i(o) = -o + 4. Let s be i(0). Solve g*a - s*v + 6 = 0, 4*a + 3*v = 5*v - l for a.
-2
Suppose -4*p - 15 = -31. Suppose 2*b - 3*r = -6, 8 = p*b + 5*r - 24. Solve -y - 4 = -b*n + 8*n, 8 = -2*y - 3*n for y.
-4
Let x be (3*(-10)/(-10))/1. Let j(v) = v**3 + 2*v**2 - v - 2. Let t be j(-2). Solve 0 = -x*h - 4*s + 2*s - 14, t = 2*h + s + 8 for h.
-2
Let l be 0/2*(4 - (1 - -2)). Suppose 20 = 4*k - l. Solve -14 = 2*c - 4*f, k*f = -3*c - 0*c + 23 for c.
1
Let s = 5 + 0. Let m = -4 + 8. Suppose -b - 4*k = -19, -m*b + 2*k - 5 = -3*b. Solve 2*h - n = -2*n + b, -4*h = -s*n + 29 for h.
-1
Let c = -15 + 25. Let t = c + -6. Suppose 2*b - 3*n - 10 = 6, -t*b - 8 = 4*n. Solve -3*q = -5*y + 11 - b, 4*y = -5*q - 15 for y.
0
Let r(h) = -h**2 - 10*h - 12. Let i be r(-9). Let b(w) = -3*w - 4. Let m be b(i). Suppose n - 18 = 15. Solve -n = 4*a + 3*s - 8*s, -m*a = -3*s + 25 for a.
-2
Let c = 11 - 10. Suppose c + 3 = d. Solve d*n = -16, 0*n - 2*n - 24 = -4*l for l.
4
Suppose -16*q = -181 - 155. Solve -g - s - 13 = 3*s, -3*g + 3*s + q = 0 for g.
3
Let b(f) = 3*f + 12. Let q be b(-9). Let s = 21 + q. Solve -c + s*c + 10 = 4*a, -10 = 5*c - 2*a for c.
-2
Let m be (8/2 + -6)*(-3 + 0). Let s(h) = 5*h - 23. Let b be s(m). Solve -3*d = -2*d + o + b, 5*o + 20 = 0 for d.
-3
Suppose 40 = 2*x - 2. Let z be 82/14 - (-3)/x. Suppose 3*r + 5*k = 2, -3*r + k = -z*r + 10. Solve -2*l - 5 = 4*w - 3*l, r*w - 3*l + 7 = 0 for w.
-1
Suppose -93*n = -94*n - 34. Let a = -30 - n. Solve -y + a*s - 8 = 0, -4*y + 3*s = -8 + 1 for y.
4
Let a = -1 + 3. Suppose -m + 4*m + 4 = -c, -m + 5*c + 20 = 0. Let y be 2/(-6)*(0 + m). Solve -10 = 5*t - 3*t - a*z, -2*t + 3*z - 11 = y for t.
-4
Let i = 15 + -11. Suppose 0*a - i*a + 13 = 5*b, 0 = 2*a - b - 3. Suppose -a*h + 27 = -5*y, 4*y - 6 = 4*h - 54. Solve -2*o - h = 2*n - o, 4*n + 28 = -4*o for n.
-4
Suppose -8*p + 112 = 20*p. Solve g = -5*b - 2, 3*b - b = -p*g + 10 for b.
-1
Suppose 0 = 7*l + l - 48. Solve l*v + 2*k + 11 = v, -v = 2*k + 7 for v.
-1
Let q = -197 - -195. Suppose -3*d = d - 8. Let b be -2*(q - 11/d). Solve -5*p + 3*x - 7 = 2, 3*p + b = 5*x for p.
0
Suppose 112*b + 947 = 2963. Let u be 388/14 + 2/7. Suppose 3*v + 46 = 2*l + 3*l, 4*l - u = -2*v. Solve 0*h = -k - 4*h + b, -k + l = 2*h for k.
-2
Let v = -285 - -288. Solve 2*u - 20 = 4*g + 4, 3*g + 9 = -v*u for u.
2
Suppose -3*t + 3*i + 6 = 0, i + 19 = -5*t - 1. Let f be (t + 0)/(15/(-25)). Suppose f*r = 6*r - 2. Solve 2*k - r*p - 10 = 0, -22 = -5*k - 5*p - 7 for k.
4
Let l = 65 - 65. Let q = -23 - -38. Suppose -a = -5*p - q, -2*a + l*p = 4*p - 2. Solve 5*o - 2*z - 20 = 0, a*o - 3*z - 7 = 13 for o.
4
Let d be ((-4)/(-6))/((-13)/156). Let r = d + 8. Suppose 0 = -j - 3*n - 12, -4*j - n - 2*n - 3 = r. Solve -5*x = z + 2, -8*x + j*x = 3*z -
|
{
"pile_set_name": "DM Mathematics"
}
|
-137)/(-5) - 9/(-15). Solve -3*l + 10*l = c for l.
4
Suppose 0 = -8*c + 5*c + 2*m + 14, -2*c + m = -10. Solve -2 = -4*w - c for w.
-1
Let i be 32/12*3 - 2. Suppose -4*l + i = -l. Suppose -22 = -3*j + 2*j - 4*q, -4*j - 2 = -l*q. Solve 5 = j*x - 5 for x.
5
Let c be (0/(1/(2 - 3)))/(-2). Solve -2*z + 7*z - 15 = c for z.
3
Suppose -3*p + 4*m + 26 = 0, m = -p - 0*m - 3. Let c be (-1 + p)*(15 + -15). Solve 0 = -5*q - c*q - 15 for q.
-3
Suppose 2*o = -3*o - 5, 0 = -4*u + 5*o - 55. Let h be 9/u - 8/(-5). Solve -p + 0 = h for p.
-1
Let y(k) = k**3 + 31*k**2 + 83*k + 2. Let m be y(-3). Solve -m*t + 783 = 768 for t.
3
Let r = 446 - 444. Solve r*y - 6*y + 8 = 0 for y.
2
Let s(l) = -24*l - 156. Let b be s(-7). Suppose -4*n + 12 = -0*n. Let g = 1 + n. Solve b = 4*v + g for v.
2
Let m be (2/(-6))/((-4)/(-24)) - 14. Let g = m - -18. Solve g = r - 0 for r.
2
Let q be -2 + 66/30 - (-1749)/55. Solve 49*n - 22*n = q*n for n.
0
Suppose -3*j - 14 + 84 = s, 128 = 5*j - 4*s. Solve 0*f = -8*f + j for f.
3
Suppose -108*c + 272 = -74*c. Suppose 0 - 3 = m, 0 = -5*f - 5*m. Solve f*n + 5 = c*n for n.
1
Let v(k) = k**2 + 3*k - 2. Let y be v(1). Let n be y*1 - (17 - 6). Let j = n + 9. Solve j = 2*q - 6*q for q.
0
Let b(a) = a**3 - 3*a**2 - 5*a + 13. Let v be b(4). Solve v - 29 = 5*x for x.
-4
Let y = -6 + 12. Suppose -i + 9 = 2*d, 39 = -d + y*d - 3*i. Solve -l + d*l = 25 for l.
5
Let x = -355 - -363. Solve x - 19 = 11*l for l.
-1
Suppose 3*s - 56 = -5*x - 27, 5*s = -x + 19. Solve 8 = 3*b - x for b.
4
Let t(k) = -k**3 - 34*k**2 + 2. Let w be t(-34). Solve 5*p = -w*p + 35 for p.
5
Let i(k) = k**3 - 6*k**2. Let w be i(6). Suppose -2*l = 2*l - 40. Let d = -10 + l. Solve w*f + 4*f = d for f.
0
Let a(w) = -6*w**2 - 17*w - 5. Let c be a(-2). Solve 7*g + c = -16 for g.
-3
Suppose 0 = -6*z - 14*z. Solve -17*x = -z*x - 68 for x.
4
Suppose 12*j = 5*j + 14. Let p be (-1 + 3 - j)/(-2). Solve p = -3*n - 2*n for n.
0
Suppose 0 = -5*f - 97 + 112. Solve -3*u = f + 3 for u.
-2
Suppose 4*a + 22 - 2 = 0. Let v be (-2)/a - (-446)/10. Let g be v/21 - (-2)/(-14). Solve -g*i - 2 - 2 = 0 for i.
-2
Let m = -220 - -225. Solve 0 = m*z - 19 + 9 for z.
2
Let f = 18 + -18. Suppose 4*r = -f*r + 20. Solve -r = -k - 4*k for k.
1
Let d(y) = y**2 - 2*y + 3. Let l be d(3). Let w be (28/5)/(l/(-30)). Let t be (8/w)/(2/(-14)). Solve 2*o + 6 - t = 0 for o.
-2
Let o = -298 + 299. Let i(k) = k**2 + 3*k + 2. Let t be i(-3). Solve o = t*c - 3 for c.
2
Let f(v) be the third derivative of v**6/120 + 7*v**5/30 - v**4/24 - 2*v**3 + v**2. Suppose 9*b = 19*b + 140. Let g be f(b). Solve -12 = -g*m - m for m.
4
Suppose 4*s + l = 17, -s + 2*l = -0*s + 7. Let n be (-90)/(-20) + (-1)/2. Solve 0 = -s*v - n + 1 for v.
-1
Suppose -3*n - 10 = -5*o + 41, 5*o + n = 63. Suppose k = 5, 5*q + 0*k = -3*k + 235. Let c = q + -40. Solve -o + 32 = c*u for u.
5
Let c = 142 + -132. Suppose -5*s + 26 = w, -4*s + c + 9 = -w. Solve 0 = 2*l - s*l for l.
0
Let a = 4 + 13. Let g be (-14)/(-3)*3/2. Let z = 41 + -36. Solve 0 = z*h - g + a for h.
-2
Let j be (-1 - -5) + -5 + 3. Let n(x) = -x**2 + 10*x - 4. Let r be n(9). Suppose r*v - v = 24. Solve h = -j + v for h.
4
Suppose 3*p = -2*m + 9, -10 = -5*m - 3*p + 8. Suppose 0*k + m*k + 4 = 2*z, 3*z - 13 = k. Solve 2 = -z*d - 3 for d.
-1
Suppose 5*w - 14 = 3*d + 12, -3*d + 2*w - 23 = 0. Let l be (-17)/d - (-9)/(-21). Solve -l*z + z - 2 = 0 for z.
-2
Suppose 35*u + 56 = 42*u. Solve 7*q + 1 = u for q.
1
Let g(m) = m**2 - 34*m + 105. Let c be g(31). Solve -c*v + 9 = -3 for v.
1
Let m = 11 - 7. Let t be ((-6)/m)/(1/(-2)). Let o = -4928 - -4928. Solve o*a = t*a for a.
0
Suppose -2*b = -f - 341, -59 = 2*b - 2*f - 405. Solve -2*p = b - 176 for p.
4
Let f be 4/14 - (-2970)/42. Let o = -71 + f. Solve 0 = -o*z + 2*z - 10 for z.
5
Let d(a) = 22*a - 158. Let z be d(9). Solve 7*j = 15*j + z for j.
-5
Let t(s) = -41*s - 57. Let z be t(-2). Solve 3*d = -2*d + z for d.
5
Let s be (-4)/(-10) + (-2)/5. Let y(b) = b**3 + 41*b**2 - 42*b + 3. Let a be y(-42). Solve -a*g = -s*g for g.
0
Suppose 3*w = 5*f + 16, -2*w + 4*f = 2*w - 24. Solve o - 6 + w = 0 for o.
-1
Let x(c) = 6*c + 3. Let j be x(2). Solve 3 = 16*v - j*v for v.
3
Suppose -5*q + 27 = 5*k - 363, -q = -4*k + 292. Solve 3 = 73*r - k*r for r.
-3
Suppose 0 = h - 6*h + 4*s - 5, -21 = -2*h - 3*s. Let j(t) = -t**2 - 14*t - 4. Let n be j(-12). Solve -h*b + n = b for b.
5
Suppose 11*s - 19*s = 232. Let w = s + 33. Solve -q + 0*q + w = 0 for q.
4
Let z(t) = -t**2 - 6*t - 3. Let o be z(-6). Let y(l) = -2*l**3 - 6*l**2 - 2*l - 4. Let q be y(o). Solve q*k - k - 4 = 0 for k.
4
Suppose 5*v - 41 = -4*k, 24 = 3*v + 5*k - 11. Suppose 5*n = -v*d - 6 + 16, 4*n = -d + 8. Solve 0 = -0*l + n*l for l.
0
Let m = 25 + -22. Let c(u) = u**2 - 3*u. Let t be c(m). Solve l = -t*l for l.
0
Suppose 4*u + 5*o + 203 = -41, 3*o = -u - 61. Let j be u + (0 - 3) + 1. Let g be (180/j)/((-4)/14). Solve 3*s + g = s for s.
-5
Let i(v) = v**3 + 37*v**2 - 5*v - 159. Let k be i(-37). Solve k*d - 9*d = 68 for d.
4
Suppose 0 = -v + 3*f + 11, -3*f + 0*f - 7 = v. Let q be (-2)/v - 3/((-6)/4). Solve -1 = 2*x + q for x.
-1
Let u be (2/3)/(4/30). Suppose m + 3*a - 21 = 0, -4*a - 23 = -4*m - 35. Solve 0 = -m*o + 2*o + u for o.
5
Let k = -10 - -11. Let i be 1/2*(45 + k) - 3. Solve 8*z = 4*z - i for z.
-5
Suppose 3*a = -3*a. Suppose 0 = -a*j - 5*j + 125. Solve -g + j = 4*g for g.
5
Suppose -2*a + 25 = 3*a. Suppose -4*d - 3*w = 5 + 10, -a*d - 5*w = 25. Solve -5*f + 4*f + 4 = d for f.
4
Let d = 18 + -14. Solve -10*i = -d*i - 30 for i.
5
Let p(m) = -m + 6. Let o be p(6). Suppose 13*t - 8*t - 70 = o. Solve 39 - t = -5*b for b.
-5
Suppose -2 - 2 = -o. Suppose 4 = r - 3. Suppose -4*s + r*s - 2*u = 13, 3*u + 16 = s. Solve o = 3*c + s for c.
1
Suppose 5 = -0*i - i, 3*i + 6 = -3*y. Solve j - 7 + y = 0 for j.
4
Let t = -52 - -59. Suppose t*n - 10 = 11. Solve -n - 2 = 5*f for f.
-1
Let v(t) = -t**3 - 3*t**2. Let a be (8 + -5)*1/(-1). Let j be v(a). Let r(x) = -x + 7. Let w be r(j). Solve 5*z = 2 - w for z.
-1
Let r be ((-15)/(-9) + -1)*3. Suppose -2*o - 14 = -6*o + 2*d, 4*d - 20 = -4*o. Solve r + o = -2*p for p.
-3
Let s = 91 - 85. Solve -s*y = -8*y - 10 for y.
-5
Let d(b) = -5*b + 3. Let l be d(-5). Suppose -23 = h - l. Solve -6 = h*c - 26 for c.
4
Suppose 3*b - 4*t - 7 = 0, -5*b - 1 = -3*t - 9. Solve 0 = k - b + 3 for k.
-2
Let s be 16/88 + 145/(-11). Let r(m) = 11*m**2 - 6*m**2 - 3 - m + 8*m**2 + m**3. Let y be r(s). Solve -y + 1 = -3*z for z.
3
Suppose 2*m + 4*j = 5 + 11, -m - j + 4 = 0. Suppose m = 4*a - 5 - 15. Solve a*d = 7 + 13 for d.
4
Let b(p) = p**2 + 5*p - 3. Let u be b(-6). Let y be 1/((-1)/((-12)/u)). Solve -o = -3*o - y for o.
-2
Let g = 907 - 905. Solve 2*u = -g - 0 for u.
-1
Let j(c) = c**2 - 11*c + 11. Let p be j(7). Let u = 23 + p. Suppose 3*m + u = 21. Solve m = 4*y - 9*y for y.
-1
Suppose -2*s + 4 = 0, -31 - 25 = -4*q + 2*s. Let p = 1254 + -1252. Solve -p*n = -5*n - q for n.
-5
Let t = 11698 + -11696. Let z(x) = x**3 - 6*x**2 + 2*x - 9. Let s be z(6). Solve t*y = s*y for y.
0
Let c(g) = -4*g**3 + 2*g**2 + g. Let w = 10 + -11. Let h be c(w). Let i be 7 - (h - (1 - 0)). Solve -i*p = -4*p for p.
0
Let m = -25 + 28. Let v = 19 + m. Suppose 3*f - 15 = -3*y, -v = -5*f + 3*y - 7*y. Solve f*r = 3*r - 2 for r.
2
Let n = 572 - 567. Solve 0*r = n*r for r.
0
Let m = -39 - -56. Suppose -2 + m = 5*p. Solve 2*c - 1 = p for c.
2
Suppose -33 = 6*x - 17*x. Suppose x*r - 12 = -0*r - 2*d, 0 = -2*d. Solve j + r = -0*j for j.
-4
Let w = 17 - 17. Suppose -17 = -3*z + 2*k, -5*z + 3*k = -w*z - 28. Solve -u + 0 = z for u.
-5
Suppose -10 = 3*h - 4. Let d be 2/h*-3*1. Let b(n) = 4*n - 11. Let g be b(6). Solve -d*v + g = 1 for v.
4
Suppose 0 = 33*w - 32*w. Solve w = -5*c - 2 + 17 for c.
3
Suppose -30*h = -510 - 780. Solve -37*z + 24 = -h*z for z.
-4
Let q = 194 + -181. Solve q*v - 10*v = -12 for v.
-4
Suppose -5*i + 38 = -12. Let n(c) = c - 7. Let l be n(i). Solve -l*g - 3 = -0 for g.
-1
Suppose -2*b - 8 = -z - 47, 3*b + 4*z - 42 = 0. Let q = 21 - b. Solve -4*w + 1 = -q*w for w.
1
Let r = 15 - 19. Let b(d) = -d**2 - 2*d + 8. Let u be b(r). Solve 3*l + u*l + 3 = 0 for l.
-1
Let t(a) = -a**2 + 11 + 16*a + 1 - 6*a + 3. Let q be t(11). Solve o = -q*o - 5 for o.
-1
Let m(s) = -s**3 - 11*s**2 + 11*s - 5. Let k be m(-12). Solve -2*r - 15 = -k
|
{
"pile_set_name": "DM Mathematics"
}
|
02?
True
Which is smaller: -142325019 or -1/2?
-142325019
Which is smaller: -5783880/11 or -525808?
-525808
Which is greater: 1 or -29/1795876?
1
Does -1129771 = -1129755?
False
Which is smaller: -7962/23027 or 0?
-7962/23027
Is -1 greater than or equal to -7/43884489?
False
Which is bigger: 1/4 or -6917843?
1/4
Is -2/81966889 >= 1?
False
Is -75325767 bigger than -75325770?
True
Is 2/337 less than -13.6284?
False
Which is greater: 1 or -1/10776984?
1
Is -13190 greater than or equal to -13237?
True
Which is smaller: 234502550 or 234502552?
234502550
Is 7913182 greater than 7913186?
False
Is -3463986 at least as big as -3463984?
False
Which is bigger: -13 or 407100?
407100
Which is bigger: 25/70219 or -133/2?
25/70219
Is -20628103 equal to -20628104?
False
Is -1 bigger than -1/9943888?
False
Is 4878 at most 257.17?
False
Which is smaller: 3/70070 or 48.7?
3/70070
Are 60402 and 60346 equal?
False
Do 0.932704 and -2/11 have different values?
True
Which is bigger: 1 or 74/206789?
1
Is 177626 less than 5402?
False
Is 15780 equal to 13551?
False
Which is smaller: -2025 or -216327?
-216327
Is 3 < -1768120?
False
Which is smaller: -62 or -0.5916914?
-62
Which is bigger: -3/35015209 or -1?
-3/35015209
Is -18407249 less than -18407249?
False
Which is smaller: -411579 or -411636?
-411636
Which is bigger: -59469291 or -59469294?
-59469291
Which is greater: -3434730 or -3434589?
-3434589
Which is smaller: 60 or 18092769?
60
Are -129472211 and -129472209 nonequal?
True
Is -2 at most -324/149773?
True
Is -41238826 bigger than -41238826?
False
Is -7888 at most as big as -7790?
True
Which is greater: 2253747 or -0.2?
2253747
Is -1/2 less than 752044/15?
True
Is -6643 <= -7138?
False
Which is greater: 88323 or -0.1188?
88323
Which is smaller: 1702510 or 1703396?
1702510
Which is smaller: -6998/69299 or -1?
-1
Is 587137 equal to 587009?
False
Is -218187/73 at least -2988?
False
Is 68359062 less than 68359059?
False
Which is bigger: 2/5 or -0.021112?
2/5
Which is smaller: -0.047214 or -285?
-285
Which is smaller: -1166 or -187510/161?
-1166
Which is bigger: 0 or 3/9046340?
3/9046340
Which is bigger: -4297/2 or -22.5351?
-22.5351
Is -2 > -16673/5869?
True
Which is greater: 9278158 or 9278160?
9278160
Which is greater: 160849/6 or 26808?
160849/6
Are 0 and -39/835180 equal?
False
Which is smaller: -4/2943485 or -0.2?
-0.2
Is -251/230654 at most -1?
False
Which is bigger: 49.2 or -80951/5?
49.2
Which is bigger: -536912 or -536924?
-536912
Which is bigger: -0.1 or -0.153396886?
-0.1
Which is bigger: -49541541 or -18?
-18
Which is bigger: 5278.9 or -415?
5278.9
Are 109122831 and 109122831 equal?
True
Is 1 less than 4/93146453?
False
Which is greater: 0 or 3/1769366?
3/1769366
Is -3/188 > -11127?
True
Which is bigger: 1 or 160/260649?
1
Which is smaller: 4709920/359 or 13120?
4709920/359
Which is smaller: -2272 or -604?
-2272
Which is greater: -5803826 or -21?
-21
Are 70 and 32933/462 equal?
False
Which is bigger: 3485404 or 80164268/23?
3485404
Are -22205979/13 and -1708151 unequal?
True
Which is smaller: 454281 or 454275?
454275
Does -8507/788 = -12?
False
Is 0 at least as big as 206/596705?
False
Which is smaller: -1 or -2/418388297?
-1
Is -20409606 less than 3?
True
Which is greater: -23006 or -1/67?
-1/67
Which is smaller: 81399/9011 or 9?
9
Which is greater: -186/25 or 6/353?
6/353
Which is smaller: -15715906 or -15715929?
-15715929
Which is smaller: 0.2 or -18810951?
-18810951
Which is smaller: 0 or 6/30894089?
0
Is 1 at most as big as 174/168209?
False
Which is greater: 6249 or 5248?
6249
Is -191.59 <= 2/521?
True
Is 1758207 > 1758211?
False
Which is smaller: 38 or 163936/4403?
163936/4403
Is 19944102 < 19944102?
False
Are 3 and -2151005 nonequal?
True
Which is bigger: 1 or 111826781?
111826781
Do 1596152 and 1596153 have the same value?
False
Which is bigger: 59409878/15 or 3960658?
59409878/15
Which is greater: 879/161 or 0.35?
879/161
Is 137137 less than or equal to 6/53?
False
Which is greater: 827597 or 824849?
827597
Are 7 and 10627/1856 equal?
False
Which is bigger: 623 or 43667?
43667
Is 1217142 < 1217145?
True
Is 2/73 greater than 33457?
False
Which is smaller: 642302 or 642294?
642294
Is 307960292 not equal to 307960292?
False
Which is greater: -6/153537323 or 1?
1
Is -1 at most -128195.816?
False
Are 27933306 and 13 equal?
False
Is -6319431 < -6319439?
False
Which is greater: 173481 or -0.0336?
173481
Is 1 not equal to 1/6874229?
True
Which is bigger: -2/190988409 or 0?
0
Which is smaller: -8 or -139004349?
-139004349
Which is bigger: -14 or -20957730?
-14
Which is bigger: 80385 or 79952?
80385
Which is bigger: -5686147 or -5686144?
-5686144
Which is greater: 282/162757 or 1?
1
Is -734723 at most as big as -734653?
True
Are 96.358 and 450 non-equal?
True
Is 5585 >= 8042?
False
Is -3289450 greater than or equal to -3289442?
False
Which is bigger: 9278195 or 0.1?
9278195
Is -19 at most 17689?
True
Is -3858514 greater than -3858507?
False
Which is greater: 284525 or -145?
284525
Is -2470 < -167903/68?
True
Which is smaller: -1186/3 or 1770?
-1186/3
Which is greater: 16529213 or 16529214?
16529214
Is -399343 at most as big as -399704?
False
Is -7 at least -1114822?
True
Which is bigger: 4 or 34245672?
34245672
Does 171532999 = 171533003?
False
Is -20254 at least as big as -11866?
False
Which is smaller: -200.96797 or 0?
-200.96797
Which is greater: -160840941 or -160840940?
-160840940
Which is bigger: 2799402 or 2799593?
2799593
Are -2810628 and -19674386/7 non-equal?
True
Which is smaller: -67733216 or -0.2?
-67733216
Is 4190898 at most as big as 4190897?
False
Is 68 greater than -4340/3?
True
Which is greater: 0 or -21/238037839?
0
Which is bigger: -5/108550216 or -1?
-5/108550216
Is 134/368185 >= 1?
False
Which is greater: 2970486 or 2970449?
2970486
Is -1 less than -402/1990441?
True
Is 13/61 bigger than 0.93987?
False
Which is bigger: 19344/1099 or 19?
19
Which is smaller: -955 or 18/1093?
-955
Is -2318123 less than -2318086?
True
Which is smaller: 1496 or 71/407?
71/407
Which is smaller: -1 or -34/459341?
-1
Which is smaller: -246612 or -75?
-246612
Does 15241874 = 121934985/8?
False
Which is smaller: 100349/353 or 285?
100349/353
Is -23079 less than -2515549/109?
True
Is -38385827 less than -38385827?
False
Which is greater: 103777 or 103764?
103777
Which is bigger: 93 or 9562.8?
9562.8
Is 14883768/41 greater than 363018?
True
Are 2/98311871 and 1 non-equal?
True
Which is smaller: 582353 or 582444?
582353
Which is greater: -134343167 or -134343168?
-134343167
Which is greater: 0 or 1/170059337?
1/170059337
Which is smaller: -23840081 or 21?
-23840081
Which is smaller: 270786404 or 270786403?
270786403
Is 1 less than 26/1427739?
False
Which is smaller: -30721 or 312?
-30721
Is 1 < 4/19189035?
False
Is -589/6287 <= 1?
True
Which is greater: 52 or 26992?
26992
Which is smaller: -7.042 or 373?
-7.042
Which is smaller: -2.6 or -191.42065?
-191.42065
Are 0.12914 and -32370 unequal?
True
Which is bigger: -1/206043766 or -1?
-1/206043766
Is 1 greater than or equal to -98/362967?
True
Is -0.06 smaller than 31333282?
True
Which is smaller: -20/7922073 or 1?
-20/7922073
Which is smaller: 0 or 3/9326351?
0
Which is smaller: -1 or 2/196965769?
-1
Which is smaller: -47090 or -46188?
-47090
Is -0.2 at least -10405958?
True
Which is smaller: 1/2 or 3494816?
1/2
Which is smaller: 4125953/38 or 108577?
108577
Is 0 less than 17/19103005?
True
Are -3016199 and -3016196 equal?
False
Are 1861 and 419 nonequal?
True
Is 5338342 greater than 5338362?
False
Which is bigger: -150933868 or -150933869?
-150933868
Which is greater: 0 or 2/854540359?
2/854540359
Which is smaller: 1/723 or 0.08398?
1/723
Is -14/26894291 at least -1?
True
Does 58137 = 58192?
False
Which is smaller: 1011 or 408191?
1011
Which is smaller: 1 or -7/6688679?
-7/6688679
Which is bigger: 181 or 93029/518?
181
Are -2763 and -3294 unequal?
True
Which is greater: -82543044 or -82543045?
-82543044
Which is smaller: -1 or -541/390178?
-1
Is -944475 greater than or equal to -944475?
True
Is 1 greater than 158/2534447?
True
Which is bigger: 1307 or -27.7918?
1307
Is 1446972081 at most as big as 1446972081?
True
Do -61 and -29317/478 have the same value?
False
Is -1 bigger than -489/123565?
False
Is 2 less
|
{
"pile_set_name": "DM Mathematics"
}
|
, -g - 5*v = 18 for g.
2
Let x(t) be the second derivative of 7*t**3 - 283*t**2/2 - 5*t + 2. Let s be x(7). Solve 33 = -2*f + 5*u, 4*f - 2*u = -3*u - s for f.
-4
Let z(q) = -28 + q**3 + 6*q**2 - 22 + 7*q**2 + 6*q - q**2. Let a be z(-11). Solve 0 = a*o - 4*i + 31, -o + i - 10 = o for o.
-3
Let i(k) = -207*k + 1259. Let q be i(6). Solve 5*m - 2*h = 36 - q, 5*h + 10 = 5*m for m.
5
Let t be -20 - -19 - (-295)/2*-2. Let i = t - -306. Let h be 88/14 - (-2)/(-7). Solve -5*u = 4*o - i, -5*o + 2*o + h = 3*u for o.
0
Suppose 150*b - 924 = -4*b. Solve -8 = 3*m + 4*z, 72*z - 75*z - b = -2*m for m.
0
Let q = 15275 + -15272. Solve -q*m + 0 = 2*n - 25, -2*m = -10 for n.
5
Let y be (-10)/8*(240/(-8) + 26). Solve 1 = -a - t, -t = y*a + 7 + 6 for a.
-3
Let g = 24 + 355. Let o = g - 376. Solve -2*d = -o*v - d - 6, -2*v - d + 1 = 0 for v.
-1
Let c be 6/21 + (-1485)/(-21). Suppose 0 = -20*y + 9 + c. Solve y*w = -3*o + 16, 16 = 4*o + 3*w - 3 for o.
4
Let w = -5278 + 5280. Solve -35*v + w*b + 12 = -38*v, -16 = 4*v + b for v.
-4
Let k be (-5)/(-2) + (-143)/(-22) + -7. Solve k*z + v + 4 = 18, 9 = z + v for z.
5
Let u be (65 + -64)/((-3)/(-96)). Solve 4*z = -5*x - 70 + 34, u = -5*z - 3*x for z.
-4
Let v(k) = -k**2 - 4*k + 63. Let g be v(6). Solve r = 5*n + 13, -2*n + 2*r - 16 = g*n for n.
-2
Suppose -w + 84 = 2*w. Suppose -2*j - j = -4*x + w, -j = x. Let u be x/2 + (-5)/20*-4. Solve 3*f + 3 = 0, 0 = u*m - 3*f - 2*f + 7 for m.
-4
Let i be 37/(-185) + (-4)/5. Let r be i/((-3)/24) - 3. Suppose 4*g + 0*g = 12. Solve -r*o = -10, -g*o - 2 = 5*q + o for q.
-2
Let b(z) = -2*z**3 - 3*z**2 - 4*z - 1. Let c be b(-2). Suppose c*r = -0*r - 10*r. Solve r = 2*a + 4*l + 12, -10 = -a + 5*a + l for a.
-2
Let o(c) = c**2 + 10*c + 21. Let g be o(-8). Suppose 0 = -2*h - 1 + g. Let m = -2 - -5. Solve -h*w = p - m, 3*p + 2*w = -2*w + 5 for p.
-1
Let c(j) = -15*j + 4*j + 5 + 2*j**2 - 7*j + 6*j. Let y be c(6). Solve -12 = -4*g - 3*i, -5*g + 15 = -0*g + y*i for g.
3
Let w(a) = a + 9. Suppose 0 = -8*q - 128 + 88. Let m be w(q). Solve -m*o = 5*y - 28, 5*o = -0*y + 2*y + 2 for o.
2
Suppose -212*o + 554 = -211*o. Let x = o - 548. Solve 2*z + x + 14 = -2*m, -5 = 4*m - 3*z for m.
-5
Suppose 59*f = -103 + 280. Solve -f*m - 15 = 0, 3*m = 3*c + 6*m + 3 for c.
4
Let o(l) = 259*l**2 + l - 1. Let t be o(1). Suppose -5*y + 276 + 194 = -a, 3*y - t = -4*a. Let q = -64 + y. Solve -5*h = -4*c - q, 2*h + 2*c - 5 - 3 = 0 for h.
5
Suppose -553 - 399 = -19*l - 37*l. Solve k = -3*w - l, 3*k + 10 = -5*w + 5*k for w.
-4
Let a = -45995 - -46112. Solve m - 7 = 5*j, a = -3*m + 5*j + 118 for m.
-3
Let a be ((-18)/10)/(-12 + (-59)/(-5)). Let w be (-1 - -1 - 5) + a. Solve -w*i + 2*k = 10, 6*i + 15 = 3*i - k for i.
-4
Suppose -2*h = 5*w - 1, 14*w = -5*h + 18*w + 19. Solve l - 20 = h*i - 0*i, -2*i = 3*l - 5 for i.
-5
Suppose -z = 32 - 14. Let g be (-12 - z)*(-2)/(-3). Suppose -g*y = 5*n - n - 20, 4*y - n - 5 = 0. Solve -5*i = c - 18, -3*i = -y*c - 1 - 15 for i.
4
Let u be 14/147 + 400/210. Solve -2*d - 10*r = -9*r - 5, -u*r = -10 for d.
0
Let a(r) = 3*r**2 - 20*r + 12. Let v be a(8). Let k = 41 - v. Let z be k/6 + (-56)/(-16). Solve -2*c = -4*y - 18, -c + z*y + 19 = -5*c for c.
-1
Suppose -g - 3*a + 11 = -4*a, -4*g + 65 = 3*a. Suppose g*x - 363 = -19*x. Solve x = 4*p - y, -2*p + 5 + 3 = 2*y for p.
3
Suppose j - 15 = -2*a, 2*a + 6*j - j = 35. Suppose 10*b = 11*b - a. Solve -5*q + 11 = -4*r, 0 = -b*r + 5*q - q - 7 for r.
1
Let b(s) = 52*s - 308. Let l be b(6). Solve 5*w - l*o - 13 = 2*w, o = w - 4 for w.
3
Suppose 0 = -3*p - i + 5, -2*p + p + i = -7. Let r be ((-39)/52)/((-2)/8). Suppose r*h - a - 9 = -2, 3*a + 3 = 3*h. Solve p*x = -h*g + 15, -2*g + 2 = -g for x.
3
Suppose 0*r + 16 = 2*r. Suppose 608 = 121*t - 191*t + 108*t. Solve -4*o = 2*d + r, 3*d - t - 2 = 4*o for d.
2
Let v be 2 + 3 + -19 + 30. Suppose v*k = 23*k - 28. Solve 5*l = -k*g + 1, l - 6*l = -g - 6 for g.
-1
Let w be (24/(-18))/(5/((-90)/8)). Let v = -737 - -747. Solve -3*p = d + 3, w*p - 2*p = -4*d + v for p.
-2
Suppose 9*o - 17*o = -824. Suppose 68 = 107*d - o*d. Solve 5*h = c + d, -5*h - 3*c - 4 + 13 = 0 for h.
3
Let v(j) = 3 + 0*j + 17*j + 87*j**2 + 4*j - 85*j**2. Let q be v(-11). Suppose -q = -12*t + 5*t. Solve k - 2*y + 15 = -0*k, 0 = -t*k + 5*y - 35 for k.
-5
Let v(j) = -145*j + 3494. Let p be v(24). Solve 11*g - 9*g + 2*b - p = 0, -5*b + 11 = -3*g for g.
3
Let x be (-10)/(-4) + (-6)/(-12). Suppose 21 = x*w - 10*w. Let p be w/(-1 + -11)*(6 - 2). Solve 5*i - 1 = 3*b, 3*i + p = -2*b + 13 for i.
2
Let d = -10908 - -10912. Solve 3*j = -c + 5, d*c + 2*j + 42 = 32 for c.
-4
Let o = 3145 - 3149. Let s be (-30)/4*(-8)/(-6). Let c be s - -12 - o/2. Solve 7 = -2*w + 3*u, -10 = 5*w - 2*w - c*u for w.
-2
Let n(c) = -444*c + 427*c + 3*c**2 + 20 - 4*c**2. Let q be n(-17). Solve -5*j + 5*z - q = -0*j, 0 = -4*j - 3*z + 12 for j.
0
Let x = -1261 - -1263. Solve -n + 4*i - 8*i - 13 = 0, -x*n + 26 = -5*i for n.
3
Let p be (-13)/1 + 2775/185. Solve 0 = 4*j - p*f + 12, 5*j = -9*f + 4*f + 15 for j.
-1
Suppose 8*a + 139 + 181 = 0. Let b = a + 42. Solve -3*d - b*d - 2 = -2*i, 4*i - 4*d = -8 for i.
-4
Let a(f) = 5*f - 7. Let r be a(5). Suppose -5*z + r = -2. Suppose -z*h - 18 = -38. Solve 5*u + 4 = 2*c - 14, -h*u - 14 = -c for u.
-2
Suppose -1202 = -2*h - 2*h - 5*u, -4*h = -4*u - 1184. Let m = h + -166. Suppose -m*c = -137*c + 10. Solve -j - c*r - 9 = 0, -5*j - 5*r + r - 15 = 0 for j.
1
Let o = 166 - 106. Suppose 17*r - 5*r = o. Solve j = -c + 3*c - 13, r*c - j = 28 for c.
5
Let l(q) = 9*q + 32. Let y be l(-3). Suppose -231 = -4*b - 3*m, b - 52 = 2*m + 3*m. Let w = b + -53. Solve 3*d + y = 5*p + d, 0 = w*p + d - 4 for p.
1
Suppose 0 = 17*p + 34*p + 21*p - 144. Solve 3*a = -5*u - 30, p*u - a = u + 2 for u.
-3
Let y(k) = k**3 + 3*k**2 - 92*k - 41. Let r be y(-11). Solve -5*h + 4*v = 9, 0 = h - 52*v + 50*v + r for h.
-1
Let h = 21664 - 21660. Solve 11 = c + h*v, -6*c - 8 = -8*c - v for c.
3
Suppose -3*c = -3 - 12. Let j be c - (0/3 + -3 - -2). Suppose 0 = -4*t + 26 - j. Solve t*g - 2*s - 10 = -s, 2*g + 3*s = 21 for g.
3
Suppose 10*o = 9*o - 2*n + 4, 5*n = o - 25. Let p be (o/(-4))/(((-39)/6)/13). Solve p*i - 13 = l + 2*l, -3 = -3*i - 3*l for i.
2
Let f be (-73)/(-73) - (0 - -2)*-2. Solve n + g + 7 = f*n, -3*g = 5*n - 30 for n.
3
Suppose 2*y - 4*c = 14, -3*c + 47 = -2*y + 69. Solve 4*p = -8, 1 = 22*l - y*l - 2*p for l.
3
Suppose 0 = -m + 3*w + 1, -56 + 41 = -3*m - 3*w. Solve 2*n - m*k + 1 + 3 = 0, k - 3 = 0 for n.
4
Let n be 14*(12/42 - 0). Suppose -2*f + 2*i = -10, 0*f + n*f + 3*i = -1. Solve -2*s - f = -q, -3*s + 2*q - 4 = -s for s.
0
Suppose 4*b = 2*v - 40, -15*b + 12 = -11*b. Solve -4 = -h, 4*x - v = x - 5*h for x.
2
Let m(r) = -r**3 + 4*r**2 + 8*r + 2. Let w be m(5). Suppose w*b - 15 = 14*b. Solve b*l - d + 5 = 0, 0*d - 4*d - 20 = 0 for l.
-2
Let o(f) = -f**2 - 5*f + 2. Let i be o(-5). Suppose 12*z = i*z + 20. Solve -4*t + 8 = z*u - 8, 0 = -4*t + 5*u + 16 for t.
4
Suppose -u + 0*y = 3*y - 9, 4*u - 2*y = 8. Solve u*d = -m - 17, 95*m - 98*m - 3*d = 21 for m.
-2
Suppose 3*b = -15, -g = -1055*b + 1050*b - 25. Let y = -6 + 10. Suppose 11 = -3*h - 1, g = -y*i - 2*h + 4. Solve -19 = w + 5*q, 0 = -4*w + i*q - 8*q - 31 for w.
-4
Let v be (3/((-27)/3))/((-65)/2340). Solve v = 4*g + 4*i, -79*g + 75*g + 10 = 2*i for g.
2
Let q be ((-126)/(-588) - (-9)/(-42))/(-1). Solve -9*a - 4*o = -14*a, q = -o for a.
0
Let w(i) = 6*i - 47. Let b be w(8). Let d be 204/(-34) - (b + -29). Solve 0*z + 5*z + f + d = 0, -2 = -2*z + 5*f for z.
-4
Let s(u) = -35*u + 292. Let t be s(8). Solve -t = -3*q + 3*n, -3*q + 4*n = -5*q - 4 for q.
2
Suppose 5*u - 73 - 77 = -2*m, m - u - 82 = 0. Suppose 122 = 7*z + m. Solve 4*k + 3*b - 22 = 2*b, -z = -2*k + 2*b for k.
5
Suppose -58*i - 42 = -62*i + 2*y, -27 = -2*i - y. Solve -3*a - 6 = 5*d, 0 = -4*a - 2*d + 4 - i for a.
-2
Suppose -15*r + 10 = -10*r + 2*u, 0 = 2*u. Let b = 9 + -4. Solve r*k = 10, -b*k + 17 + 8 = -3*j for j.
0
Let y(b) = b**3 - 48*b**2 - 36*b - 570. Let a be y(49). Solve -68*x - 5*u + 8 = -a*x, 0 = -x + 4*u - 10 for x.
-2
Let h = 61 - 37. Let m be 34/(-289) - 6/153*-54. Solve h = m*w - 3*c + 8, 3*w - c - 10 = 0 for w.
2
Let t be 45/3*(1 + 0). Suppose -w + 7 = -t. Suppose 0 = -21*f + 141 - 36. Solve -f*x + w = 3*v, 14 = 2*v + 3*x - 0 for v.
4
Let u be (-1*3
|
{
"pile_set_name": "DM Mathematics"
}
|
- 2*f**4 + f**4 + (f**3 - 2*f**3 + 2*f**3)*(4 - 4 + 5*f).
-22*f**4
Expand (41 + 10 + 113)*(2*p + 0*p - 3*p)*(12*p - 20 + 20).
-1968*p**2
Expand -2*q - 7*q**2 + 4*q - 20*q**2 + (1 - 5 - 1)*(2*q**2 + 21*q**2 + 30*q**2).
-292*q**2 + 2*q
Expand (-1 + 1 + h)*(-6 + 18 - 50)*(8 + 76 - 38).
-1748*h
Expand (-5*k**3 - k**3 + 5*k**3)*(-3 + 1 + 1) + (-77 - 68 + 140)*(0 + 0 + 2*k**3) + 531*k + 35*k**3 - 531*k.
26*k**3
Expand 4771*m - 8269*m - 9118*m + (-4*m + m + 4*m)*(1 + 0 + 1) + (-2 + 3 + 1)*(m + 0 + 0).
-12612*m
Expand -5*m**4 + 13*m**4 - 4*m**4 + (0*m**2 + 19*m**2 + 44*m**2)*(m**2 + 0*m + 0*m).
67*m**4
Expand 2*x**2 - 4*x**2 + 3*x**2 - 4*x**2 + 2*x**2 - x**2 + (-x + 0*x + 2*x)*(0*x - 4*x + 2*x) + 8*x**2 + 6*x - 6*x + (5*x - 5*x + x)*(2*x - 2 + 2).
6*x**2
Expand (-3 + 6 + 1)*(-11 - 3*o**2 + 6 - 10) + (5 + 3 - 6)*(13*o**2 - 6*o**2 + 2*o**2).
6*o**2 - 60
Expand (-3 - 3*i + 3)*(-173 - 175 + 12*i + 334).
-36*i**2 + 42*i
Expand (-41*k - 125*k - 20*k)*(2 - 2 - k**2)*(-2*k - k + 6*k + (-1 + 2*k + 1)*(-4 + 5 + 0) + 4 - 4 + k).
1116*k**4
Expand (-2 + 2 + 2)*(3 - h**3 - 3) - 1116*h - 669*h - 2 + 1771*h - 968*h**3.
-970*h**3 - 14*h - 2
Expand (-3094*l**2 + 2887*l**2 + 5475*l**2)*(l**2 + 2*l**2 - l**2 + (-2*l + l + 0*l)*(-4 + l + 4) - 4*l - 2*l**2 + 4*l - 1 + 3*l**2 + 1).
10536*l**4
Expand (5*y**3 + 631*y - 631*y)*(-8*y + 0*y - 4*y).
-60*y**4
Expand (-3582*o + 3021*o - 2709*o)*(-2*o**2 - 2*o + 2*o).
6540*o**3
Expand ((-u - 2 + 2)*(-16 - 14 + 3) - u + 3*u + 3*u - 4*u + 9*u - 2*u)*(3 - 2 - 3).
-70*u
Expand (2*a + 3*a + 0*a)*(133*a**3 - 9*a**3 + 35*a**3 + (0*a**3 + 2*a**3 - 4*a**3)*(0 - 1 - 1) - 2 - 2*a**3 + 2).
805*a**4
Expand (25*m + 150934 + 22*m - 150921)*(-6*m**4 - 4*m**4 - m**3 + 7*m**4).
-141*m**5 - 86*m**4 - 13*m**3
Expand ((-1 + 1 - 1)*(1 + 2 - 2) + (-3 + 3 + 2)*(0 + 0 - 1) + 2 - 1 + 1)*(l**2 + 7158 - 7261 - 5*l**2).
4*l**2 + 103
Expand (8213*g - 8213*g + 311*g**2 + (0*g + 6*g - 5*g)*(5*g - 2*g - 4*g) + g**2 - g**2 + g**2)*(-6 - 5 + 4).
-2177*g**2
Expand (4 - 33 + 6)*(-x**3 + 12*x**3 + 13*x**3).
-552*x**3
Expand -4*r**5 + 6*r**5 + 7*r**5 + (57*r**5 + 13*r**4 - 13*r**4)*(-2 + 7 + 0).
294*r**5
Expand 0 - 2 - 826*z**4 + 945*z**4 + (z - z + z**3)*(3*z - 4 + 4).
122*z**4 - 2
Expand (2*t - 3*t + 3*t)*(22*t - 4*t**4 - 22*t) + 10*t**5 + 40*t**5 + 18*t**5.
60*t**5
Expand (d + 2*d - 5*d + (-5*d - 2*d + 5*d)*(3 - 3 - 1) + 25 - 8*d - 25 + (13 - 5*d - 13)*(5 - 5 - 1))*(-28 + 30 + 15).
-51*d
Expand (99 + 52 + 119)*(-a + a + a) - 6*a + 4*a - 7*a.
261*a
Expand (-2 + 2 - d)*(-d + 2*d + d) + d**2 + 0*d**2 + d**2 + (149 - 29406*d + 29404*d + 60)*(-2 + 2 - d).
2*d**2 - 209*d
Expand (0*h - h - h + (-4 + 0 + 5)*(1 - 1 + 3*h))*(-1 + 2*h + 1).
2*h**2
Expand ((-2*a + a + 3*a)*(-a + a**2 + a) + (13*a**2 - 37*a**2 - 32*a**2)*(-3*a + 2*a + 2*a) + 4*a**3 - 2*a**3 - 4*a**3)*(-2 + 1 + 2).
-56*a**3
Expand (5 - 5 + 2*z**3)*(-4 + 2 + 3) + (-4*z + 3*z + 0*z)*(-2*z**2 + 2*z - 2*z) - 23062 + 23062 - 107*z**3.
-103*z**3
Expand (3*c**4 - 3*c**4 - 2*c**4 + (2 + 2 - 3)*(11*c**4 - 4*c**4 + 0*c**4))*(18*c - 31*c + 99*c + 39 - 28*c).
290*c**5 + 195*c**4
Expand (-2*s + s - 2*s)*(2*s**2 + s**2 - 5*s**2)*(-16294 + 16294 + 151*s + (-1 - 4 + 3)*(2*s + 0*s - s) + 2 - 2 + s).
900*s**4
Expand (-48*p + 32428 - 32428)*(21*p**2 + 2*p**2 - 2*p**2).
-1008*p**3
Expand (13*n**2 - 13*n**2 + 2*n**3)*(-318 - 484 - 12).
-1628*n**3
Expand -3*n + 3*n + 5*n + n + 0*n + 0*n + (-3 - 1 + 3)*(-n + 0*n - n) + n + 2 - 2 + n + 3 - 3 + 2*n - 2*n - 2*n + 559 - 88*n - 559.
-80*n
Expand (-3 - 2*k**4 + 3)*(-2*k - k + 4*k) + k**5 + k**2 - k**2 - k**5 - 4*k**5 + 4*k**5 - 3*k - k**5 + 3*k + (-855*k**2 - 145563 + 145563)*(-1 + 1 - 2*k**3).
1707*k**5
Expand 6*c**2 - 7*c**2 - 10*c**2 + (3 + 2 - 2)*(-c**2 + c**2 - 2*c**2) + (-7*c + 8*c + 2*c)*(6*c + 0*c - 3*c).
-8*c**2
Expand (-603 + 1233 - 551 + r)*(-2*r**2 + 5*r**2 - r**2).
2*r**3 + 158*r**2
Expand -6*n**5 + 3*n**5 + 0*n**5 + (-3*n**2 + 4*n**2 - 5*n**2)*(261*n**3 + 44*n**3 - 71*n**3).
-939*n**5
Expand ((-1 + 4 - 4)*(4 - 2 - 3) - 11 - 7 - 3)*(1938 - 1938 - 63*v**4).
1260*v**4
Expand 5*m**3 + 7*m**3 + 2*m**3 + (9*m - 5*m - 13*m)*(0*m**2 - 2*m**2 + 5*m**2).
-13*m**3
Expand (5 + 11 + 7 + (-1 + 2 + 1)*(-1 + 2 + 1) + 0 - 2 + 1 - 3 + 0 + 1 + 0 - 1 + 0)*(2*p**4 + 2*p**2 - 2*p**2).
46*p**4
Expand n**3 - n**4 + 297*n**2 + 1478 - 1478 + (-2*n + 0*n - n)*(2*n**3 - 3*n**3 + 2*n**3).
-4*n**4 + n**3 + 297*n**2
Expand (-11*o - 23 + 23)*((4 - 3 + 2)*(2*o - 2*o + o) + 2*o + o - 5*o + 3*o + 0*o + 3*o - 9*o + 1 + 1 + 4*o).
-22*o**2 - 22*o
Expand (-79*h + 46213 - 1762 - 84*h - 1810 + 164*h)*(0*h - h**2 + 0*h).
-h**3 - 42641*h**2
Expand -947*j**5 - 1005*j**5 + 2128*j**5 + (-j**5 - 3*j**4 + 3*j**4)*(3 - 6 + 2) + 7*j**5 + j**2 - 3*j**5 + 3*j**5.
184*j**5 + j**2
Expand -93451 + 93451 + 69*s**2 + (-2*s - s + 2*s)*(-3*s + s + 4*s) + 0 - 2*s**2 + 0.
65*s**2
Expand -6*p**4 + 3*p**4 + 0*p**4 + (3 + 2*p - 3)*(0*p**3 + 4*p**3 - 3*p**3) + 37*p - 37*p + 32*p + 833*p**4 - 32*p + 18854*p**4.
19686*p**4
Expand (3 - 2*a - 3)*(0 + 0 + 3*a) - 302*a**2 + 150 - 150.
-308*a**2
Expand (-h + 5*h - 2*h)*(846 + 5*h**2 + 912 - 1688) - 5*h**3 + 5*h - 5*h.
5*h**3 + 140*h
Expand (2426 - 1064 - 1103)*(0 + 0 - x)*(2 + 3 - 6).
259*x
Expand 183 + 3*w**2 - 122 + 135 + 3*w**2 - w**2 - w**2 + (-3*w - 3*w + 4*w)*(2 - 2*w - 2).
8*w**2 + 196
Expand (-18*p**2 - 7*p + 7*p)*(4 + 6*p - 3 + 6*p)*(49 + 24 + 106).
-38664*p**3 - 3222*p**2
Expand (0 - 4 + 3)*(4 - 1 - 4)*(465*g + 4590935 - 4590935).
465*g
Expand (9*d + 6*d - 4*d)*(42 + 85 + 87).
2354*d
Expand (-2*j + 6*j - 3*j)*(-71*j + 186*j - 70*j - 22416*j**3 - 45*j).
-22416*j**4
Expand (-v**2 - 3*v + 3*v)*(81 + 83 - 302)*(2*v**3 + 0*v**3 - 7*v**3 + (3*v - 3*v - v)*(2*v**2 - v**2 - 3*v**2) - 2*v**3 + 0*v + 0*v).
-690*v**5
Expand (3*y**3 - 2*y**3 - 2*y**3)*(3784*y + 7338*y - 4708*y + 10911*y + (-y - y + 0*y)*(4 - 1 - 5)).
-17329*y**4
Expand (53*k**2 + 27*k**2 - 43*k**2)*(34*k**2 + 23*k**2 + 14*k**2).
2627*k**4
Expand (0 + 0 - 3*s)*(-6*s**3 + 3*s**3 + s**3) + 2*s**4 - 2*s + 2*s - 2 + 2 - s**4 + (42*s - 42*s - 166*s**2)*(2 - s**2 - 2).
173*s**4
Expand (f**2 + 4*f**2 - 2*f**2)*(0*f**3 + f**3 - 2*f**3)*(-1722 + 837 + 804).
243*f**5
Expand 5*n**5 - 4*n - 2 - 6*n**5 - 17*n**2 + 12*n**2 - 2*n**5 + 2*n**4 - 2*n**4 + (-4 + 2 + 3)*(n**5 - n**5 - 2*n**5) - 3*n**5 + 3*n**5 + n**5.
-4*n**5 - 5*n**2 - 4*n - 2
Expand (2*u - 5*u - 4*u)*(65 - 11*u - 30 - 36 - 3*u + 5*u - u + (0 - 2 + 1)*(4*u - 4*u - 3*u)).
49*u**2 + 7*u
Expand (4*s - 2*s - s)*(-1885 - 1888 + 460*s**4 + 3772).
460*s**5 - s
Expand (0 - 3 + 1)*(-1 + 3 + 5)*(0*b + 2*b - 3*b)*(27*b**4 - 10*b**4 + 82*b**4).
1386*b**5
Expand (24*c**4 + 13*c**4 + c**4 + (2*c**4 + 5 - 5)*(0 - 1 - 1))*(81*c + 67*c - 50*c - 2).
3332*c**5 - 68*c**4
Expand (7*r - 7*r + 5*r**3)*(-3 + 1 - 6) - 2*r**3 + 27*r**3 + 6*r**3.
-9*r**3
Expand (10 - 10 - 12*z)*(-2*z + z + 0*z + (4*z + 3*z - 4*z)*(-2 - 2 + 3)) + (-5*z - z + 0*z)*(z + 0*z + 6*z).
6*z**2
Expand (-2*h**2 + 0*h**2 + h**2 + (-9*h + 4*h + 11*h)*(-1839*h - 397 + 786 - 389))*(h - 3*h + 0*h).
22070*h**3
Expand (6 + 1 + 6)*(-8 - 6*v**3 - 13 + 16).
-78*v**3 - 65
Expand (0 + 4*z**2 + 0)*(-2 + 18*z - 1 + 18*z).
144*z**3 - 12*z**2
Expand (-2*r + 2*r - 11*r - 2*r)*(22256 + 5*r - 22250 - 3*r).
-26*r**2 - 78*r
Expand (4*i + 4*i - 8 + 6)*(28361*i - 28361*i + 1183*i**3 + 769*i**3).
15616*i**4 - 3904*i**3
Expand (-17*r**2 + 17*r**2 - 3*r**4)*(4 - 6 - 2)*(-2 - 3 + 6)*(1 - 1 + 2)*(-132*r + 89*r + 87*r).
1056*r**5
Expand (-3 - 1 + 2)*(0 - 2 - 1)*(63 - 63 + 41*a)*(1 + 3 - 3).
246*a
Expand ((-2397*c + 1027*c + 909*c)*(-6 - 1 + 1) - 4*c + 3*c + 3*c + (-1 + 1 - 1)*(3*c - 5*c + c))*(0 - c**2 + 0).
-2769*c**3
Expand (-362 + 147 + 75)*(3 - 2 + 0)*(-2 - 5*h + 2).
700*h
Expand -34*w - 56*w - 128*w - w + 0*w + 0*w + (-2*w - 4*w + 4*w)*(1 - 13 + 0) - w - 3 + 3 + (5 - 2 - 4)*(-3*w + 3*w + w) - 4*w + 2*w + w - 5 + 5 - 2*w.
-200*w
Expand (16917609 - 16917609 - 4817*d)*(2 - 2 - d**3).
4817*d**4
Expand 3*o**2 + o**4 - 3*o**2 + (4*o**3 - 4*o + 4*o)*(20 - 45 - 13)*(3*o + 3 - 3).
-455*o**4
Expand (-2 - 4 - 1)*(-174*w**5 + 51*w**5 - 10*w**5).
931*w**5
Expand (587*k**2 - 295*k**2 - 164*k - 290*k**2)*(-3*k**2 - k**2 + 3*k**2).
-2*k**4 + 164*k**3
Expand (6 - 7 - 1)*(27*u + 8*u + 44*u)*(-2*u**2 + 0*u**2 + 4*u**2).
-316*u**3
Expand (5 - 2 - 2)*(222*v**2 - 32*v**3 - 222*v**2
|
{
"pile_set_name": "DM Mathematics"
}
|
- 116 = -5*z - 66. Solve 4*c = -g - h for c.
-4
Let x(f) = -f**2 + 4*f + 16. Let u be x(-5). Suppose 0 = -4*o - 2*q + 150, 0*o - 5*o = q - 180. Let k = o + u. Solve 0 = -3*g + k*g for g.
0
Let h = -27 + 34. Suppose 1 = -6*a + h. Solve -6 = -5*b - a for b.
1
Suppose -9*y = -6*y - 9. Suppose 0*h + 3*t = -y*h - 9, -17 = 4*h + 5*t. Suppose -7*c + 3*c + h*m = -12, -m - 12 = -5*c. Solve -c*u = 2*u + 12 for u.
-3
Let o be (-10)/(-6) + 2/6. Suppose 3*i - 3 = 45. Suppose -n = -3*y + i + 21, -5*n = y - 7. Solve o*f + 2*f = -y for f.
-3
Let m(o) = -o**2 - o + 44. Let s be m(6). Solve -4*t + s*t = -2 for t.
1
Suppose 9*p - 6*p = 2*a + 26, 4*a = p - 22. Suppose 0 = p*g + g - 28. Solve 4*l = -g - 12 for l.
-4
Let i be 1*14 + (-5 + 2 - -1). Solve -i + 2 = -2*z for z.
5
Let g be 12 + 4*(-3)/(-6). Suppose 2*i = -4 - 2. Let a be 12/(-18) - g/i. Solve a*f = -0*f + 8 for f.
2
Suppose 2*s + 4*r - 86 = -s, s - 2*r = 32. Suppose 4*a = -18 + s. Solve a - 5 = -p for p.
2
Let n(o) be the first derivative of -o**3/3 + 13*o**2/2 - 9*o + 13. Suppose 3*k = 2*k + 12. Let w be n(k). Solve -w*h + 0*h + 3 = 0 for h.
1
Let o(c) = c**3 + 42*c**2 + 80*c + 4. Let y be o(-40). Solve -y = -s - 6 for s.
-2
Suppose -3*d = d. Suppose 17*b - 15*b = d. Solve 0 = 4*j - b*j + 8 for j.
-2
Let u(q) = -q**3 + 3*q**2 - 3*q + 1. Suppose -9*x = -6*x - 3. Let b be u(x). Solve -3*w + w + 4 = b for w.
2
Suppose 0 = -0*y + 2*y - 16. Let s(d) = -d**3 + 7*d**2 + 11*d - 1. Let n be s(y). Let b = 26 - n. Solve b*l - 7*l = 12 for l.
-3
Let s(b) = 4*b - 56. Let h be s(16). Let d be -4 + 0 - h/(-1). Solve 0*v = d*v - 8 for v.
2
Let r(k) = -5*k**2 - 10*k + 3. Let o be r(-2). Solve 47 = -o*p + 35 for p.
-4
Suppose -7*a + 2*f - 122 = -11*a, -3*a = f - 94. Solve -29*g - 16 = -a*g for g.
4
Let r(c) = c - 8. Let j be r(13). Solve -10 = -j*b - 0*b for b.
2
Suppose -3*y = -2*y - 2. Suppose 0*t - 6*t = -4*t. Suppose -20*n + 22*n = t. Solve 0 = -n*h + y*h + 6 for h.
-3
Let r be (18 - 21)*1/((-1)/(-5)). Let p be (-2)/r - (0 + (-815)/75). Solve 5 = 3*b + p for b.
-2
Let t be (3/(36/88))/(28/42). Solve 0 = -t*i - 16 + 49 for i.
3
Suppose 0 = -d + 9*d - 16. Solve -j = d*j + 6 for j.
-2
Let y = 20 + -13. Suppose 7 = i - y. Suppose -3*t + t = -i. Solve -2*v + 1 + t = 0 for v.
4
Let b(a) be the first derivative of 4*a**3/3 - a**2 + 2*a - 6. Let q be b(1). Solve q*p - 2 = 2 for p.
1
Let j be 66/(-462) + (-43)/(-7). Solve 0 = o - 5 + j for o.
-1
Let m(d) = d**3 - 19*d**2 - 3. Let k be m(19). Let c = 14 + k. Solve c = 3*a - 4 for a.
5
Let y(s) = -s**2 + 20*s + 99. Let b be y(24). Solve -24 = b*q - 15 for q.
-3
Suppose 0 = -y + 2*t - 74, y + t + 133 = -y. Let m be -2*y/(-8) + 3. Let j = 19 + m. Solve 0 = j*o - 7 - 13 for o.
4
Suppose -24*a = -22*a + 80. Let g be ((-4)/(-7))/(a/(-140)). Let r be 5/(5/3) + -2. Solve g*f + r = -3 for f.
-2
Let i(m) = -4*m - 131. Let o be i(-28). Suppose 36 = -h - 3*h. Let f = h - o. Solve -n - n + f = 0 for n.
5
Let j(f) = 5*f + 100. Let w be j(-21). Suppose -9 = 4*c - 3*s, 3*c + 5 - 1 = 5*s. Let y = c - w. Solve -y*p - p = 3 for p.
-1
Let q = -857 - -895. Solve 4*f - q = -22 for f.
4
Let r = -10 + 10. Suppose r = 5*m - 3*m - 4. Let v be m - 2/1 - -1. Solve 2*z + v = 7 for z.
3
Let y be -4 + 3 - (0/2 - 7). Suppose 0 = 33*m - 35*m + 6. Solve 0 = y*b - m*b for b.
0
Let b(y) = y**2 + 3*y + 4. Let h be b(0). Solve 4 = v + h for v.
0
Suppose 0 = 4*q - 13 - 47. Suppose 13*l + 32 = q*l. Let u be (-2)/8 - (-68)/l. Solve 0 = -u*x + 5*x - 2 for x.
2
Suppose -163*p = -167*p. Solve 2*z - 9 + 13 = p for z.
-2
Suppose 2*j - 28 = -5*k, -4*k - 8 = -5*j + 29. Let n = 15 - j. Let f(g) = -g**3 - 5*g**2 + 5*g - 3. Let s be f(-6). Solve n = r - s*r for r.
-3
Suppose 0*m + 96 = -3*l - 2*m, 3*l = m - 87. Let o = 47 + l. Solve -4*g = 1 - o for g.
4
Suppose -6 = 5*n - q - 20, 0 = -5*n + 2*q + 13. Let u = 111 - 106. Suppose 3*i + 14*f - 10*f - 2 = 0, -i + 26 = -u*f. Solve 5*v + i = n*v for v.
-3
Let p(c) = 2*c + 10. Let l be p(-5). Suppose 0 = -3*i + 5*w + 6, 0*i - 5*i - 4*w + 10 = l. Solve i*a = 3*a + 3 for a.
-3
Let r = 184 - 159. Solve 0 = -3*j + 8*j + r for j.
-5
Let t = 159 - 156. Suppose -w + 3 = -2*c, t*w + 6*c - c = 9. Solve 2*n = -w*n for n.
0
Let a = 584 - 576. Solve a = -5*r - 12 for r.
-4
Let v be (42 - 0)*14/(-105)*-5. Solve -10*h - v + 38 = 0 for h.
1
Let q = 1482 - 1478. Solve 21 = q*p + 29 for p.
-2
Suppose 0 = -3*o + 84 + 36. Let r = o + -20. Let n(z) = 5*z. Let j be n(1). Solve w = j*w + r for w.
-5
Let m = 103 - 87. Let f = 8 + -12. Let d(v) = -2*v - 5. Let k be d(f). Solve 4 = -k*o + m for o.
4
Let q(z) = z**2 - 16*z + 15. Suppose -5*n = 12 - 87. Let j be q(n). Suppose 1 = 2*y - c - 2, -5*c - 15 = j. Solve 0 = 2*u - y + 2 for u.
-1
Let b be (-2 - -1)/((-61)/122). Solve 33 - 31 = b*j for j.
1
Suppose 675 = -100*l + 125*l. Solve 0 = 16*k - l*k - 44 for k.
-4
Let h(r) = r**3 - 5*r**2 + 5. Let d(m) = 2*m - 7. Let c be d(6). Let n be h(c). Suppose i = 5*y + 8 - 21, n*i - 10 = 0. Solve s = -0*s + y for s.
3
Let v = -877 + 895. Solve v*t - 17*t = -1 for t.
-1
Let b(r) = 11*r + 53. Let n(p) = 4*p + 18. Let x(s) = 6*b(s) - 17*n(s). Suppose o - w - 2*w = 20, -30 = -o + 5*w. Let q be x(o). Solve -q*l - 16 = -6 for l.
-5
Let g be (10/(-3) + 1)*(-8 - 7). Let c be (-24)/(-14) - (-10)/g. Solve 0 = -c*b - 1 + 9 for b.
4
Suppose b - g = -1, 2*g + 3*g = 4*b + 3. Let l = -2 - b. Suppose 0 = 3*m - 695 + 659. Solve m = -l*z + 4*z for z.
3
Let g = 135 + -60. Suppose -l - g = -6*l. Solve -2*s = s + l for s.
-5
Suppose 4*l - 3*j + 3 = 0, 0 = 2*l - 0*j + 3*j - 21. Let a(p) = 8*p**3 - 10*p**2 - 10 - 7*p**l + 10*p + 3. Let z be a(9). Solve 14 - 4 = -z*m for m.
-5
Suppose -g + 4 = t, -t + g = -3*g + 16. Let i be 6*(t + (-3)/(-6)). Solve 1 = l + i for l.
-2
Let p = 2542 + -2533. Solve -2*s - 15 = -p for s.
-3
Let u(q) = -3*q - 8. Let s be (5/10)/(3/(-24)). Let d be u(s). Suppose 4*i + 12 = 4*l - 8, 0 = d*l - i - 17. Solve -p = l*p for p.
0
Suppose h - 5*i - 1 = 0, 0 = 5*h - 3*h + 3*i - 54. Solve h*j - 10 = 19*j for j.
5
Suppose 0 = 18*c - 16*c - 8. Let a be c/(-16) + 2/8. Solve a*x = -4*x - 20 for x.
-5
Let b(v) = -2*v + 32. Let j be b(15). Suppose 0 = -2*d + 4*l - j*l + 40, l = -3*d + 40. Solve -6*k + d = -k for k.
3
Suppose 4*g - 23 = 5. Let v(h) = h - 5. Let d be v(g). Suppose 4 = a - d. Solve a = b + 2*b for b.
2
Let f(p) = -p**2 + 9*p + 2. Let j be f(9). Suppose j*a - 7 - 3 = 0. Suppose 0 = -0*h - a*h - n + 30, 5*n = 25. Solve 4 = 3*z - h for z.
3
Let h be 220/35 + 38/14 + -3. Solve 0*c + 3*c = -h for c.
-2
Suppose 5*b + 1 - 16 = 0. Let r be 4/6 + (-56)/b. Let l = 21 + r. Solve -l*o + o = 0 for o.
0
Let o = -62 + 57. Let z be o - -1 - -4 - 0. Solve f + 2*f - 3 = z for f.
1
Let x be (-1 + -85)*-1 - 1. Suppose 0 = -l - 1, 5*y + 7*l - 2*l - x = 0. Let d be ((-8)/12)/((-4)/y). Solve -i + d = -2*i for i.
-3
Suppose -128 = -23*q + 27*q. Let b = q - -35. Solve b*g + 2*g = -10 for g.
-2
Suppose 16 = -2*u - 4*n, 4 - 15 = 2*u + 3*n. Let t be (6/(-3))/(2/(-10)). Suppose 3*j - t = -u*j. Solve -1 - 3 = -j*l for l.
2
Let z be (-9)/21 - (-6 + (-155)/35). Solve -15*n - 15 = -z*n for n.
-3
Suppose 2*y + 0*y - 34 = 0. Let h be 2 - -1*(4 - 3). Suppose -s = -3*s - 2*g + 18, -s + h*g = 7. Solve s - y = -4*l for l.
3
Suppose -5 = q - 3*y, 0 = 3*q - 2*y + 3 - 2. Solve q = 4*b - 7 for b.
2
Let l be (4/6)/(-3*(-4)/(-72)). Let z(x) = -x**3 - 5*x**2 - 6*x - 6. Let b be z(l). Solve -w + 7 = b for w.
5
Suppose 2*i - 14 = -0*i. Suppose -4*f = 2*r - 2*f - 18, -5*r - f + 49 = 0. Let v = r + -8. Solve -i*n + 25 = -v*n for n.
5
Let f = 144 - 139. Suppose -4*h = -8 - 4. Solve -f*n = -28 + h for n.
5
Let s be (6 - 2 - 42)/2. Let z = s + 24. Solve -5*d - z = 5 for d.
-2
Suppose -4*l - o + 3 = -24, 2*l - 2*o - 26 = 0. Solve -l*t - 20 = -4*t for t.
-5
Suppose 0 = 4*j, 0 = -3*u - 5*j + 3*j + 6. Suppose 4*l + 20 = 0, 0 = 2*k + 5*l - 0*l + 17. Solve 0 = u*d - k + 8 for d.
-2
Let g be (-1)/4 - 2/(-8). Let v be 2/(-4)*g*(-9)/(-9). Solve -z - 7 + 4 = v for z.
-3
Suppose 3*l = 3*a - 0*a + 9, -3*a - l = -11. Let u be (2 - (-3 + 1))/a. Suppose 0 = u*b - 6 - 0. Solve -b - 1 = -2*z for z.
2
Let k be -4 + 0 + -22 + 2. Let n = 36 + k. Solve -n = 5*i - i for i.
-3
Suppose 0*m - 2 = -2*w - m, 0 = -w + 3*m - 6. Solve w = -23*q + 8*q - 60 for q.
-4
Suppose -104*x + 320 - 112
|
{
"pile_set_name": "DM Mathematics"
}
|
418 wrt q.
-3767
Find the third derivative of -346*o**4 - 433*o**2 wrt o.
-8304*o
Find the second derivative of -1829*x**2 + 250*x - 14.
-3658
What is the second derivative of -7491*i**3 + 72*i - 4 wrt i?
-44946*i
Find the third derivative of 1544*d**3*p*r**3 + 8*d**3*p*r - 2*d**3 + d**2*p*r**3 + d**2*p*r**2 - 3*p*r**2 + 4*r wrt r.
9264*d**3*p + 6*d**2*p
Find the third derivative of -2*u**4 + 6102*u**3 + 3*u**2 + u + 504 wrt u.
-48*u + 36612
What is the second derivative of 44*u**5 + 3*u**2 + 37*u - 3 wrt u?
880*u**3 + 6
What is the third derivative of -7*q**4 + 35*q**3 - q**2 - 3?
-168*q + 210
What is the first derivative of 9593*a*i - 57*a - 31 wrt i?
9593*a
What is the first derivative of -150*n*t + 2*t - 111 wrt n?
-150*t
Find the first derivative of 2*i**2*t*y**2 + 135*i**2*t + 5*i**2*y**2 - 5*i*t*y wrt y.
4*i**2*t*y + 10*i**2*y - 5*i*t
Find the third derivative of -11*b**5*f**3 + 14*b**4*f**3 + 1437*b**2*f**3 + f**3 wrt b.
-660*b**2*f**3 + 336*b*f**3
What is the second derivative of 3*j**3*w + 1436*j**2 + 16*j*w + 5*j - 2*w - 1 wrt j?
18*j*w + 2872
What is the second derivative of 44*c*r**2*y + 2*c*r + 12*c + r*y wrt r?
88*c*y
Find the third derivative of -2702*b**3 + 772*b**2 wrt b.
-16212
Find the third derivative of -a**4*s**3 - 270*a**4*s - a**3 - 3*a**2*s**2 + 49*a*s**3 wrt a.
-24*a*s**3 - 6480*a*s - 6
What is the first derivative of -1183*k + 8271 wrt k?
-1183
What is the third derivative of 886*s**3*v**2 - 2*s**3*v - s**3 - 55*s**2*v**2 - 19*s**2*v - 2*s*v**2 wrt s?
5316*v**2 - 12*v - 6
What is the second derivative of 2*i*k**2 + 11*i - 102*k**3 - 2*k + 2 wrt k?
4*i - 612*k
Differentiate 2*j*w**3 + 82*j*w + 28*j - 2*w**2 + 18 wrt w.
6*j*w**2 + 82*j - 4*w
Find the third derivative of -3432*x**4 + 122*x**2 + 9.
-82368*x
Find the third derivative of -12700*g**5 - 3746*g**2 wrt g.
-762000*g**2
Find the first derivative of -46*n**3 - n**2*v**2 - 258*v**2 wrt n.
-138*n**2 - 2*n*v**2
What is the derivative of -p**4*z**3 + 575*p**3*z**3 - 7223*z**3 wrt p?
-4*p**3*z**3 + 1725*p**2*z**3
Differentiate 15*j**2*s + 2*j**2 + 10*j*s + 7*j - 2*s + 781 with respect to j.
30*j*s + 4*j + 10*s + 7
Find the second derivative of 8*h**2*k*v**2 - 7*h**2*k*v + 7*h**2*u**3*v + 18*h**2*v**2 - h*k*u**3*v - 4*h*k*u**3 + 2*k*u**2*v - 7*u**3*v**2 wrt v.
16*h**2*k + 36*h**2 - 14*u**3
What is the first derivative of -57*f**2 + f + 342?
-114*f + 1
Find the third derivative of 214*a**4 + 515*a**2.
5136*a
What is the second derivative of 4*p**3 + 128*p**2 - 2435*p + 3?
24*p + 256
What is the third derivative of 4240*m**6 + 9*m**2 + 20*m + 2 wrt m?
508800*m**3
What is the third derivative of -46*o**3*v**3 + 3*o**3 - 2*o**2 + 107*v**3 wrt o?
-276*v**3 + 18
What is the third derivative of -2625*f**2*h**3 - f**2*h**2 - 69*f*h**2 - 7*f*h wrt h?
-15750*f**2
Differentiate j*n**3*u + 74*j*n*u + 332*j*u + n**2*u with respect to n.
3*j*n**2*u + 74*j*u + 2*n*u
What is the third derivative of -61*f**5 - f**4 - 376*f**2?
-3660*f**2 - 24*f
Differentiate -6*k*t**3*z + k*t**2*z**2 - 10*t**3*z - t*z**2 - z wrt k.
-6*t**3*z + t**2*z**2
Find the second derivative of 2547*p**5*w**2 + 7*p*w**2 - 2*p*w + w**2 wrt p.
50940*p**3*w**2
What is the third derivative of 2*q**2*x**3 - q**2*x**2 - 15*q**2 + 2*q*x**3 + q*x + 3538*x**3 + 24*x**2 wrt x?
12*q**2 + 12*q + 21228
Find the third derivative of m*y**4 - 2*m*y**2 - 3364*m*y - 5295*y**4 wrt y.
24*m*y - 127080*y
Find the second derivative of -2*n**2*v**3 + 95*n**2*v + n*v**3 - 3*v**2 + 2*v wrt v.
-12*n**2*v + 6*n*v - 6
What is the third derivative of -2*i**4*q + 4803*i**3*q**3 - 6*i**2*q**3 - i**2*q**2 - 4*i*q**3 + 6*i*q wrt i?
-48*i*q + 28818*q**3
What is the derivative of z**2 - 18*z - 8226?
2*z - 18
Find the second derivative of 2*b**2*f*r - 130*b**2*f*y + b**2*y**3 + 2*b**2 + 3*b*f*y**3 + 2*b*r + 2*f*r - 2*f*y - r*y**3 wrt b.
4*f*r - 260*f*y + 2*y**3 + 4
What is the first derivative of 2*c**2 - 13*c + 23?
4*c - 13
Find the third derivative of -h**4*l**2 + 17*h**4*y - 2*h**4 + 3*h**2*l**2*y + 2*h*l*y - 7*h*y - 4*l**2 wrt h.
-24*h*l**2 + 408*h*y - 48*h
What is the second derivative of 2*f*g**5 + 95*f*g - 2*f - 4*g**5 wrt g?
40*f*g**3 - 80*g**3
Find the second derivative of -3191*m*n**2 - m + 11*n + 95 wrt n.
-6382*m
What is the second derivative of -335*b*k**2*r - 7*b*k*p*r - 46*b*p - k**2*p*r - k**2*p - k*p*r - k wrt k?
-670*b*r - 2*p*r - 2*p
What is the second derivative of -2*i**5 + 659*i**2 - 1531*i wrt i?
-40*i**3 + 1318
What is the derivative of -2*j**3*s*y - 12*j**3*y - 18*j**2*s*y - 21*j**2*y wrt s?
-2*j**3*y - 18*j**2*y
Find the second derivative of 9*c*d**2*r*z + 3*c*d*r**2 + c*d + c*r*z + 5*c*z + 2*d**2*r**2 + 4*d**2*r*z - 3*d*z wrt d.
18*c*r*z + 4*r**2 + 8*r*z
Find the third derivative of x**5 + 77*x**3 - 218*x**2.
60*x**2 + 462
Find the third derivative of 1630*j**6*w - 485*j**2*w - 4*j**2 wrt j.
195600*j**3*w
Find the first derivative of -81*a*h**3*n**2 + 5*a*h**3*n + 31*a*n**2*y - 3*a*y - 2*h**3*n*y wrt y.
31*a*n**2 - 3*a - 2*h**3*n
Find the first derivative of w**2 - 107*w - 492.
2*w - 107
What is the second derivative of -11*n*s*x**2 + 45*n*x - 8*s*x**2 - s*x - s wrt x?
-22*n*s - 16*s
What is the second derivative of 1071*m**2 + 1370*m wrt m?
2142
Differentiate 37*k**4*x*y - k**3*x + 10*k*y + 143*x*y - y with respect to k.
148*k**3*x*y - 3*k**2*x + 10*y
What is the second derivative of 4*h**4*o - 171*h**3*j*o**2 + 267*h*j - h*o**2 wrt h?
48*h**2*o - 1026*h*j*o**2
Differentiate -120*g**2 + 99.
-240*g
Find the second derivative of -11*a**2*q**2*u + 2*a**2*q - 5*a*q*u**2 - q**2*u**2 - q**2*u + 39*q*u**2 wrt q.
-22*a**2*u - 2*u**2 - 2*u
What is the third derivative of 22*j**4 - 3*j**3 - 119*j**2?
528*j - 18
Find the third derivative of 14045*y**3 + 20*y**2 + 77*y.
84270
Find the second derivative of -3*b**2*g**3 + 30*b**2*g + 7*b**2 + 2*g**4 + 75*g**2 wrt g.
-18*b**2*g + 24*g**2 + 150
Find the second derivative of y**5 + 146*y**2 - 187*y.
20*y**3 + 292
Find the third derivative of 2*j**3 + 539*j**2 wrt j.
12
Find the third derivative of 83*h**6*t**3 - h**4*t - 56*h**2*t + t**3 wrt h.
9960*h**3*t**3 - 24*h*t
Find the third derivative of 17664*g**3 + 2309*g**2 - g.
105984
What is the third derivative of 154*h**4 + h**3 + h**2 + 26*h wrt h?
3696*h + 6
Find the second derivative of -2*p**3*z**2 - p**3*z + 123*p**2 - 1264*p*z**2 + p*z - p + 2*z**2 wrt p.
-12*p*z**2 - 6*p*z + 246
What is the second derivative of -44*p**3*z**2 - 54*p**3*z + 3*p - z wrt z?
-88*p**3
What is the first derivative of -h**2 - 25*h - 156?
-2*h - 25
Find the first derivative of 10*z**4 - 3*z**3 + 826.
40*z**3 - 9*z**2
Find the second derivative of 2*a*q**5 - 2*a - 669*q**2 - 2*q + 95 wrt q.
40*a*q**3 - 1338
What is the first derivative of 2*r**2 + 314*r + 8818?
4*r + 314
Differentiate -2321*n**2 + 2281 with respect to n.
-4642*n
What is the second derivative of -7*k**4 - 28*k**2 - 82*k - 2?
-84*k**2 - 56
Find the second derivative of -2*c**2*h**3*j + 18*c**2*h**3 - 3*c**2*j + 10*c*h**3*j - 5*c*h**3 + 3*c*j wrt c.
-4*h**3*j + 36*h**3 - 6*j
Find the third derivative of -9*j**6*q*r - 15*j**6*r - 6*j**2*q*r + q - 2*r wrt j.
-1080*j**3*q*r - 1800*j**3*r
What is the third derivative of -295*z**3 - 247*z**2 wrt z?
-1770
Differentiate 3*r**2*w**2 + 12*r*w**3 + 390*w**3 with respect to r.
6*r*w**2 + 12*w**3
Find the first derivative of 5*c*i**2*y**2 - c*m*y + i**2*y**2 - i*m*y - 355*m*y**2 wrt i.
10*c*i*y**2 + 2*i*y**2 - m*y
Differentiate -8*c**2 + 22*c + 3400 wrt c.
-16*c + 22
Find the second derivative of -12*c**2*u - 4*c**2*w**2 + 3*c*u - u*w**2 - 20*w**2 wrt c.
-24*u - 8*w**2
Differentiate 135*c**4 + 4*c**3 - 2537 wrt c.
540*c**3 + 12*c**2
Differentiate -2*y**2 + 158*y + 69 wrt y.
-4*y + 158
Differentiate -3*m*v**3*z**3 + 4*m*v**2 - m*v*z**3 - 2*v**3*z**2 + 45*v**2*z**3 wrt m.
-3*v**3*z**3 + 4*v**2 - v*z**3
Differentiate 641*b**3*l**2 + 639*l**2 with respect to b.
1923*b**2*l**2
Find the second derivative of -l**3*t**3 - 2*l**3 + 89*l**2*t**2 - l*t**3 - 9*t**3 - 10*t**2 wrt l.
-6*l*t**3 - 12*l + 178*t**2
Find the second derivative of -347*h**2*j**4 + 9*h**2*j - h**2 - 2*h*j**5 - 2*h*j + 2*j wrt j.
-4164*h**2*j**2 - 40*h*j**3
What is the first derivative of 58*l**3*q + 44*l**3*v - 4*l*q**2 + 26*q**2*v wrt v?
44*l**3 + 26*q**2
What is the first derivative of g*
|
{
"pile_set_name": "DM Mathematics"
}
|
-1, 4, 1 in decreasing order.
4, 1, -1, -6, -65, -1227
Put -0.4, -5, -3, 67, 31 in ascending order.
-5, -3, -0.4, 31, 67
Sort 4, 61, 5, -4, 3, -8773 in increasing order.
-8773, -4, 3, 4, 5, 61
Sort -6, -33, 2, -4, -1892 in increasing order.
-1892, -33, -6, -4, 2
Put 2/807, 0.055, -21 in descending order.
0.055, 2/807, -21
Sort 4, 2, -4, 9, 3, 8167, -5.
-5, -4, 2, 3, 4, 9, 8167
Sort -0.4, -22, -35, 3, 2, -1/3 in descending order.
3, 2, -1/3, -0.4, -22, -35
Put 52, -5, -193, 65 in ascending order.
-193, -5, 52, 65
Put 254/9, 2/23, 12, 1.01, 8 in ascending order.
2/23, 1.01, 8, 12, 254/9
Sort 1, -43, -4, -1428, 46 in descending order.
46, 1, -4, -43, -1428
Put 75, 0, 4, -2, -1532, 106 in increasing order.
-1532, -2, 0, 4, 75, 106
Sort 29, 541, 43, -1 in ascending order.
-1, 29, 43, 541
Put 2078, 1, 14, 374, -5, -1 in ascending order.
-5, -1, 1, 14, 374, 2078
Sort -8, -75, 2431 in decreasing order.
2431, -8, -75
Sort -2, 9/5, -180, -3, -6.5 in increasing order.
-180, -6.5, -3, -2, 9/5
Put 133.1, -186, 1/6, -4, -2 in ascending order.
-186, -4, -2, 1/6, 133.1
Sort 134, 5, -8, -1, 0, 143, 4.
-8, -1, 0, 4, 5, 134, 143
Sort 3, 23, 1979, -22, -4, -2 in ascending order.
-22, -4, -2, 3, 23, 1979
Sort -79804, -342, -1, 4.
-79804, -342, -1, 4
Sort 5704, 8, 58, -22 in decreasing order.
5704, 58, 8, -22
Sort -4, -6, -2, 14, 6, 310 in ascending order.
-6, -4, -2, 6, 14, 310
Sort 8, 2, 4, 5, -193, 0, -1 in ascending order.
-193, -1, 0, 2, 4, 5, 8
Put -14, 4, -585, 11 in descending order.
11, 4, -14, -585
Sort -5, -0.5, 41, 17377 in decreasing order.
17377, 41, -0.5, -5
Put -5, 3, -81, 0, -441, -28 in descending order.
3, 0, -5, -28, -81, -441
Sort -7, -3, 1886683.
-7, -3, 1886683
Sort 14, 60, 0.9, -7, 2.
-7, 0.9, 2, 14, 60
Put -32, -88, 96, 5 in decreasing order.
96, 5, -32, -88
Put 2.2, -2/11, 1, 6759 in ascending order.
-2/11, 1, 2.2, 6759
Sort 35, -803, 66/13.
-803, 66/13, 35
Sort 0.05758, -2, -0.0034 in decreasing order.
0.05758, -0.0034, -2
Sort 2, 0.4, 0, 6, -3/7, 0.2, 5/7 in ascending order.
-3/7, 0, 0.2, 0.4, 5/7, 2, 6
Sort 42, 4, 37, 309, 7.
4, 7, 37, 42, 309
Sort 9, -55, 10, 5, 182 in descending order.
182, 10, 9, 5, -55
Sort -4, -1/38, 0.5, 2363/7, 0.07 in decreasing order.
2363/7, 0.5, 0.07, -1/38, -4
Put -8, 12, 2/3, -7.5, -1.4 in ascending order.
-8, -7.5, -1.4, 2/3, 12
Put -10530, -15, -2, 6, -17, -4 in ascending order.
-10530, -17, -15, -4, -2, 6
Put -1258, 1/2, 2/407 in decreasing order.
1/2, 2/407, -1258
Sort -2/1245, -5/13157, -1 in decreasing order.
-5/13157, -2/1245, -1
Sort 0.09, 0.2, 0, 2467, 6, 2/13 in decreasing order.
2467, 6, 0.2, 2/13, 0.09, 0
Sort -42, 27, -3/7, -6/2303 in ascending order.
-42, -3/7, -6/2303, 27
Put -27007, -318, 4 in increasing order.
-27007, -318, 4
Sort -121, -925, -2, -1 in decreasing order.
-1, -2, -121, -925
Sort 0.64, -0.24, 0.0015 in increasing order.
-0.24, 0.0015, 0.64
Sort -5, 2, -1, 469, 1 in descending order.
469, 2, 1, -1, -5
Sort 110/13, 3/4, -2, -2/9, 1, -0.9 in increasing order.
-2, -0.9, -2/9, 3/4, 1, 110/13
Put -22874, -23, -11 in descending order.
-11, -23, -22874
Sort 37, 1815, -5, -97 in decreasing order.
1815, 37, -5, -97
Sort 0, 3, 14, 6, -92, -239 in ascending order.
-239, -92, 0, 3, 6, 14
Put 52, 143, -133 in descending order.
143, 52, -133
Put -3921, -10, 3, 8, -3, -1 in decreasing order.
8, 3, -1, -3, -10, -3921
Put 10, 611, -11, 0, -4, -6, 1 in ascending order.
-11, -6, -4, 0, 1, 10, 611
Sort -10, 26, 10, -6, 0, 2 in descending order.
26, 10, 2, 0, -6, -10
Put -4, -5, 0, 17, 49, -286, 5 in decreasing order.
49, 17, 5, 0, -4, -5, -286
Put 1, 0.02, 57, -143, 3/4 in increasing order.
-143, 0.02, 3/4, 1, 57
Put -168, -3, 2, -55, -5, 5, -2 in descending order.
5, 2, -2, -3, -5, -55, -168
Put 0.2, 1020, 0.14, -41/2 in descending order.
1020, 0.2, 0.14, -41/2
Sort 0.4, 74599986, 3.
0.4, 3, 74599986
Put -2, -94, 2/19, 6/7, -17 in increasing order.
-94, -17, -2, 2/19, 6/7
Sort 3, -44, -15, 124, 1, 2.
-44, -15, 1, 2, 3, 124
Put -2, 103, 196, -3 in descending order.
196, 103, -2, -3
Put -5.48, -0.1, -76.7 in decreasing order.
-0.1, -5.48, -76.7
Sort 0, 1, -2, 10298278 in descending order.
10298278, 1, 0, -2
Put -0.08, 1/46, 54.26 in descending order.
54.26, 1/46, -0.08
Put -3, 1, 0, 3, -545, -16 in ascending order.
-545, -16, -3, 0, 1, 3
Sort 1, -3113, -0.1, 0.06, -20 in increasing order.
-3113, -20, -0.1, 0.06, 1
Sort -4, 0, 43, -65, -5.
-65, -5, -4, 0, 43
Put -3, -1/2, -7, -0.586 in descending order.
-1/2, -0.586, -3, -7
Sort 5, -95843, -3084.
-95843, -3084, 5
Sort -0.08, 6/5, -2/7, 8, -21, -136 in ascending order.
-136, -21, -2/7, -0.08, 6/5, 8
Sort 2, 8, -1/5, -1.5, -73 in increasing order.
-73, -1.5, -1/5, 2, 8
Sort 16, 4, 1, 712 in descending order.
712, 16, 4, 1
Sort -1/87, -9/11, 10, -2, 3/7, 2 in decreasing order.
10, 2, 3/7, -1/87, -9/11, -2
Put -1830, 246783, 4 in decreasing order.
246783, 4, -1830
Put -100, 3, -73, 121 in descending order.
121, 3, -73, -100
Sort 16, -2.525753, -2/15 in ascending order.
-2.525753, -2/15, 16
Sort 2, 588, 11, -207.
-207, 2, 11, 588
Sort 2875, -1, 4926 in descending order.
4926, 2875, -1
Sort 0.2, -265/324, -1, 3 in descending order.
3, 0.2, -265/324, -1
Sort -4, -16870, 90, -6 in ascending order.
-16870, -6, -4, 90
Sort -2/9, 14.4, 2, -0.3, 0.3, -2 in descending order.
14.4, 2, 0.3, -2/9, -0.3, -2
Sort 1/16, 4, 0.1, 29/25, -2/5 in decreasing order.
4, 29/25, 0.1, 1/16, -2/5
Sort -22937060, -0.2, 3 in increasing order.
-22937060, -0.2, 3
Sort 5, 3570, -3, 375.
-3, 5, 375, 3570
Sort -102, -855, -5, 15, -2.
-855, -102, -5, -2, 15
Sort -1310, -6, -27 in descending order.
-6, -27, -1310
Put -9, 1, 350, -1, -4, -44 in decreasing order.
350, 1, -1, -4, -9, -44
Sort -166629, -3, -231.
-166629, -231, -3
Put 0.5, -0.7, 153/13118 in ascending order.
-0.7, 153/13118, 0.5
Put 23, -32683, -2 in increasing order.
-32683, -2, 23
Sort -402, -136, 2, 0, 257 in decreasing order.
257, 2, 0, -136, -402
Sort 9.6, -14.7, -10, 2, -4, 1/4.
-14.7, -10, -4, 1/4, 2, 9.6
Sort 4, -3885, 2, -3, -9, -1, -6 in increasing order.
-3885, -9, -6, -3, -1, 2, 4
Put 4, 109104, 13, -1 in decreasing order.
109104, 13, 4, -1
Sort 2/271, 43/178, 0.03.
2/271, 0.03, 43/178
Sort 61, 26, -0.07, -5, -169 in increasing order.
-169, -5, -0.07, 26, 61
Sort 5, -5, 5046718.
-5, 5, 5046718
Put -8884, 39, -1, 7 in increasing order.
-8884, -1, 7, 39
Sort 30, 477, -2, -5, 2, -1.
-5, -2, -1, 2, 30, 477
Put 0.4, 10, 137, 80279 in decreasing order.
80279, 137, 10, 0.4
Sort 5, -5, 4/595, -281/2, -5/3 in decreasing order.
5, 4/595, -5/3, -5, -281/2
Sort -3, -82708, -725.
-82708, -725, -3
Put 4310, -3/29, -9 in ascending order.
-9, -3/29, 4310
Put -4, -0.2, 4/13, 38, 17886 in decreasing order.
17886, 38, 4/13, -0.2, -4
Sort -3, -777/157, 97 in descending order.
97, -3, -777/157
Sort 5, -3, 3, 2, -812 in descending order.
5, 3, 2, -3, -812
Put 3, -755, -1, -3343, 0, 5 in decreasing order.
5, 3, 0, -1, -755, -3343
Put -1, -0.01, -0.075507 in ascending order.
-1, -0.075507, -0.01
Sort 0.5, -1, -0.411, 434, -3/2 in descending order.
434, 0.5, -0.411, -1, -3/2
Sort -1, -5, -18, -9, -19, -2 in increasing order.
-19, -18, -9, -5, -2, -1
Put 8, -5, -0.3, 38, -0.1, -4 in ascending order.
-5, -4, -0.3, -0.1, 8, 38
Put 7, 1, -2/3, -5/3, 2, -0.02953 in ascending order.
-5/3, -2/3, -0.02953, 1, 2, 7
Put 1/10, 29, -1.2, -0.049, 0.2 in decreasing order.
29, 0.2, 1/10, -0.049, -1.2
Sort 0.1, 4, 95/454, -116 in decreasing order.
4, 95/454, 0.1, -116
Sort 68, 2, 7, 1, 4, 0 in increasing order.
0, 1, 2, 4, 7, 68
Put 0, -4, 19, -1, -3, 404, -5 in decreasing order.
404, 19, 0, -1, -3, -4, -5
Sort 40, -18, -13, -11, -1.
-18, -13, -11, -1, 40
Sort -30/7, 13620, 0.1, -1/24.
-30/7, -1/24, 0.1, 13620
Sort -27, 698, 228 in increasing order.
-27, 228, 698
Put -3/4, -0.3862, -1, -0.1, 95 in descending order.
95, -0.1, -0.3862, -3/4, -1
Put -5, 12218, -385 in increasing order.
-385, -5, 12218
Sort -1, 7, -7, 21202.
-7, -1, 7, 21202
Put -2, -2068, -4, 25 in descending order.
25, -2, -4, -2068
Sort -4.001, -0.4, 4462 in decreasing order.
4462, -0.4, -4.001
Put 5, -4, 4.4, 57, -0.2, 0.5, -1 in descending order.
57, 5, 4.4, 0.5, -0.2, -1, -4
Sort -0.4, 18972, -0.2, -14, -4 in ascending order.
-14, -4, -0.4, -0.2, 18972
Put 4, -5, -2, 27, 62, 51,
|
{
"pile_set_name": "DM Mathematics"
}
|
: 2, l: 8, w: 1, g: 2}?
8/1365
Two letters picked without replacement from {w: 3, h: 2}. What is prob of sequence wh?
3/10
Two letters picked without replacement from iiavaiiviaaiaiaiav. What is prob of sequence vi?
4/51
Three letters picked without replacement from {y: 1, n: 1, e: 1, j: 1, z: 1, u: 2}. What is prob of sequence jzy?
1/210
Calculate prob of sequence am when two letters picked without replacement from {r: 2, a: 2, q: 1, m: 1, g: 1}.
1/21
Three letters picked without replacement from mvvmlvgllvlg. What is prob of sequence gmv?
2/165
What is prob of sequence rvk when three letters picked without replacement from mvmtttvkrkttkt?
1/364
Calculate prob of sequence ooj when three letters picked without replacement from {s: 3, o: 8, c: 6, j: 2}.
56/2907
Two letters picked without replacement from llllliiilliill. Give prob of sequence li.
45/182
What is prob of sequence nn when two letters picked without replacement from {s: 2, n: 2}?
1/6
Two letters picked without replacement from dzdvdmdmdbddm. Give prob of sequence mb.
1/52
Calculate prob of sequence jk when two letters picked without replacement from jjkjjkjkkkjjk.
7/26
Calculate prob of sequence yw when two letters picked without replacement from yshwo.
1/20
What is prob of sequence hwub when four letters picked without replacement from wbhuw?
1/60
Two letters picked without replacement from {r: 7, b: 4, u: 2}. What is prob of sequence ru?
7/78
Three letters picked without replacement from {o: 3, d: 5, i: 2}. What is prob of sequence ido?
1/24
Four letters picked without replacement from mbmomobmbmmmo. Give prob of sequence bmoo.
21/2860
Three letters picked without replacement from czzczz. What is prob of sequence zcc?
1/15
Three letters picked without replacement from {u: 6, y: 1, q: 8}. Give prob of sequence qqq.
8/65
Three letters picked without replacement from {m: 4, b: 1, j: 3}. Give prob of sequence bmj.
1/28
Calculate prob of sequence wvw when three letters picked without replacement from {w: 2, v: 3}.
1/10
Calculate prob of sequence ju when two letters picked without replacement from ojucjjwccjjcooojoo.
1/51
Four letters picked without replacement from {n: 1, e: 1, y: 1, q: 1, l: 1, h: 2}. Give prob of sequence lnhy.
1/420
Calculate prob of sequence wcc when three letters picked without replacement from gcawwlwlvllacw.
1/273
Three letters picked without replacement from {s: 1, u: 3, w: 3, f: 5, o: 1}. What is prob of sequence suo?
1/572
Four letters picked without replacement from {l: 1, c: 1, s: 1, z: 2}. What is prob of sequence czls?
1/60
Calculate prob of sequence rtr when three letters picked without replacement from ynnyyyyryrt.
1/495
What is prob of sequence tnvv when four letters picked without replacement from vntvvvzgzn?
1/210
Calculate prob of sequence uow when three letters picked without replacement from {w: 1, u: 3, b: 2, t: 1, o: 5}.
1/88
What is prob of sequence xwv when three letters picked without replacement from ixggivwiwwiwvgiwi?
1/408
Four letters picked without replacement from yyyboooo. What is prob of sequence ybby?
0
Two letters picked without replacement from {x: 1, d: 1, a: 1, b: 5, s: 3, v: 3}. Give prob of sequence sv.
9/182
What is prob of sequence ki when two letters picked without replacement from {i: 5, k: 1, w: 6, x: 1, g: 1}?
5/182
Two letters picked without replacement from {x: 7, e: 7}. Give prob of sequence xe.
7/26
What is prob of sequence sl when two letters picked without replacement from {d: 2, s: 1, l: 1}?
1/12
What is prob of sequence ar when two letters picked without replacement from {q: 2, r: 2, h: 2, u: 1, a: 1}?
1/28
Two letters picked without replacement from ddddddvyvddvdvdvdddd. Give prob of sequence dd.
91/190
Four letters picked without replacement from jjjjjjjjj. What is prob of sequence jjjj?
1
Calculate prob of sequence os when two letters picked without replacement from sqsqososooosss.
5/26
What is prob of sequence ttpt when four letters picked without replacement from tttp?
1/4
Two letters picked without replacement from hxhlxhexxhxgge. Give prob of sequence le.
1/91
What is prob of sequence klf when three letters picked without replacement from {x: 1, f: 5, k: 6, l: 4}?
1/28
Calculate prob of sequence voo when three letters picked without replacement from {o: 3, v: 1, s: 3, j: 10, c: 3}.
1/1140
Three letters picked without replacement from kklllkjlnpkk. Give prob of sequence jpn.
1/1320
Two letters picked without replacement from {q: 1, h: 3, d: 3, n: 2, m: 1}. Give prob of sequence hd.
1/10
Two letters picked without replacement from {d: 4, q: 1, i: 5, j: 1}. What is prob of sequence ii?
2/11
Calculate prob of sequence wbw when three letters picked without replacement from {q: 1, w: 4, r: 6, h: 2, k: 1, b: 1}.
2/455
Two letters picked without replacement from wwwqwwuwclwwwwwwuwuw. What is prob of sequence ul?
3/380
Four letters picked without replacement from kkokkkkkkkkkkkk. Give prob of sequence okkk.
1/15
Calculate prob of sequence svbg when four letters picked without replacement from {j: 1, p: 2, g: 2, s: 4, b: 4, v: 2}.
8/4095
Three letters picked without replacement from gsssgggg. Give prob of sequence ggg.
5/28
Calculate prob of sequence paq when three letters picked without replacement from {g: 1, e: 1, q: 1, a: 1, p: 1}.
1/60
What is prob of sequence dkkq when four letters picked without replacement from dkkqqkdddqkd?
1/66
Two letters picked without replacement from qrrarbxxnrnxaab. What is prob of sequence nr?
4/105
Three letters picked without replacement from ululull. What is prob of sequence uul?
4/35
Calculate prob of sequence oob when three letters picked without replacement from {o: 4, s: 3, b: 11}.
11/408
Two letters picked without replacement from eeaaeaeegdedeaj. Give prob of sequence eg.
1/30
What is prob of sequence ddmd when four letters picked without replacement from ddmddddmddmmm?
14/143
Four letters picked without replacement from gerebrqgrlrqeb. Give prob of sequence ergg.
1/1001
What is prob of sequence lllo when four letters picked without replacement from {b: 4, o: 2, l: 8}?
4/143
Four letters picked without replacement from {j: 4, h: 15}. Give prob of sequence hjjj.
5/1292
Calculate prob of sequence yp when two letters picked without replacement from {y: 10, p: 9}.
5/19
Two letters picked without replacement from dmnmdmmwdmddwxmmmd. What is prob of sequence xd?
1/51
What is prob of sequence fnn when three letters picked without replacement from fnnlfflfnfnf?
3/55
Calculate prob of sequence nuun when four letters picked without replacement from {n: 4, t: 4, u: 4, x: 3}.
2/455
Calculate prob of sequence azaz when four letters picked without replacement from aazzzzzkzzaakzazkzak.
15/646
What is prob of sequence sf when two letters picked without replacement from {f: 9, s: 5}?
45/182
What is prob of sequence dd when two letters picked without replacement from {j: 2, r: 1, x: 3, b: 1, v: 1, d: 4}?
1/11
Four letters picked without replacement from {o: 1, z: 6, n: 4, f: 3, m: 2}. Give prob of sequence mmff.
1/3640
Three letters picked without replacement from {h: 1, d: 5, w: 1, j: 2, y: 2, z: 5}. Give prob of sequence zdj.
5/336
Calculate prob of sequence rrr when three letters picked without replacement from {r: 3, n: 12}.
1/455
Calculate prob of sequence fe when two letters picked without replacement from {i: 1, e: 2, x: 3, f: 1}.
1/21
Calculate prob of sequence jjj when three letters picked without replacement from {j: 5, f: 15}.
1/114
Calculate prob of sequence qzi when three letters picked without replacement from {p: 1, z: 2, q: 1, u: 2, i: 1, r: 2}.
1/252
Three letters picked without replacement from {y: 2, s: 6, o: 5}. Give prob of sequence yys.
1/143
What is prob of sequence kkg when three letters picked without replacement from {k: 3, g: 2}?
1/5
What is prob of sequence ezce when four letters picked without replacement from ezeeeceeez?
1/60
What is prob of sequence md when two letters picked without replacement from {x: 1, d: 6, m: 11}?
11/51
Calculate prob of sequence ffor when four letters picked without replacement from {r: 2, o: 7, f: 7}.
7/520
Calculate prob of sequence bddd when four letters picked without replacement from bbddddd.
1/7
Four letters picked without rep
|
{
"pile_set_name": "DM Mathematics"
}
|
3 + 155*h/6.
5*h*(h + 1)*(h + 31)/6
Factor -3*o**2 + 249*o + 252.
-3*(o - 84)*(o + 1)
Factor k**4/6 - 7*k**3/6 + 5*k**2/6 + 7*k/6 - 1.
(k - 6)*(k - 1)**2*(k + 1)/6
Let 2*q**3/11 - 12*q**2/11 + 18*q/11 - 8/11 = 0. What is q?
1, 4
Factor -4*v**2/5 + 36*v/5 + 8.
-4*(v - 10)*(v + 1)/5
Factor 2162*o**2 - 50*o - 12.
2*(23*o - 2)*(47*o + 3)
Let -3*y**3 + 21*y**2 + 84*y + 60 = 0. Calculate y.
-2, -1, 10
Factor y**4 + 1245*y**3 + 3729*y**2 + 3727*y + 1242.
(y + 1)**3*(y + 1242)
Suppose -m**4/2 + 3*m**2 + 4*m + 3/2 = 0. Calculate m.
-1, 3
Factor 24*i**4 - 4*i**3 - 52*i**2 + 4*i + 28.
4*(i - 1)*(i + 1)**2*(6*i - 7)
Let b**5/4 - b**4/4 - 2*b**3 + 2*b**2 + 4*b - 4 = 0. What is b?
-2, 1, 2
Factor -o**4/3 + 26*o**3/3 - 35*o**2 - 300*o.
-o*(o - 15)**2*(o + 4)/3
Let 4*x**5 - 52*x**4 + 100*x**3 + 372*x**2 + 216*x = 0. Calculate x.
-1, 0, 6, 9
Let 2*x**2/11 + 1080*x/11 + 145800/11 = 0. What is x?
-270
Determine c so that 4*c**3/3 - 8*c**2 - 28*c/3 + 80 = 0.
-3, 4, 5
Solve 20*r**5/13 + 166*r**4/13 + 348*r**3/13 - 70*r**2/13 - 368*r/13 - 96/13 = 0 for r.
-4, -1, -3/10, 1
Factor 2*j**2/3 + 8048*j/3 + 8096288/3.
2*(j + 2012)**2/3
Factor 2*r**4/3 - 2*r**3/3 - 4*r**2/3.
2*r**2*(r - 2)*(r + 1)/3
Factor 2*s**5/15 - 4*s**4/15 - 2*s**3/5 + 8*s**2/15 + 8*s/15.
2*s*(s - 2)**2*(s + 1)**2/15
Factor h**3 - 23*h**2 - h + 23.
(h - 23)*(h - 1)*(h + 1)
Factor -o**3 - 155*o**2 - 3827*o + 182183.
-(o - 23)*(o + 89)**2
Suppose -g**5/2 - 15*g**4/2 - 31*g**3 - 17*g**2 + 63*g/2 + 49/2 = 0. Calculate g.
-7, -1, 1
Factor 3*j**4/2 - 285*j**3/2.
3*j**3*(j - 95)/2
Factor -l**5 + 13*l**3 + 12*l**2.
-l**2*(l - 4)*(l + 1)*(l + 3)
Find o, given that 6*o**4 - 65*o**3 + 17*o**2 + 42*o = 0.
-2/3, 0, 1, 21/2
Factor r**2/4 + 307*r/4 + 153/2.
(r + 1)*(r + 306)/4
Suppose 2*h**4 + 30*h**3 + 26*h**2 - 30*h - 28 = 0. What is h?
-14, -1, 1
Factor 2*d**4/7 + 54*d**3/7 - 2*d**2/7 - 54*d/7.
2*d*(d - 1)*(d + 1)*(d + 27)/7
Let -625*n**5 + 4500*n**4 + 15700*n**3 + 17190*n**2 + 7965*n + 1350 = 0. Calculate n.
-1, -3/5, 10
Find j, given that j**2/2 - 311*j/4 - 39 = 0.
-1/2, 156
Solve 4*d**4 - 7*d**3 - 2*d**2 = 0 for d.
-1/4, 0, 2
Factor 2*i**2/3 + 4*i + 16/3.
2*(i + 2)*(i + 4)/3
Factor m**3/6 + 52*m**2/3 + 512*m + 3072.
(m + 8)*(m + 48)**2/6
Factor 2*r**3/3 - 26*r**2 + 50*r - 74/3.
2*(r - 37)*(r - 1)**2/3
Factor 3*y**4 - 6*y**3 - 9*y**2.
3*y**2*(y - 3)*(y + 1)
Let -2*m**5/7 + 20*m**4/7 - 50*m**3/7 = 0. Calculate m.
0, 5
Factor -2*w**2/23 - 354*w/23 - 352/23.
-2*(w + 1)*(w + 176)/23
Let k**5/3 + 26*k**4/3 - 118*k**3/3 + 64*k**2/3 + 39*k - 30 = 0. What is k?
-30, -1, 1, 3
Suppose -5*w**4 + 65*w**3 - 180*w**2 = 0. What is w?
0, 4, 9
Suppose -v**2/3 - 52*v/3 = 0. What is v?
-52, 0
Suppose 2*k**3/15 - 136*k**2/15 + 198*k - 6804/5 = 0. Calculate k.
14, 27
What is d in -45*d**4 + 405*d**3/2 + 20*d**2 - 390*d - 200 = 0?
-5/6, -2/3, 2, 4
Suppose k**5/3 - 22*k**4/3 - 103*k**3/3 - 32*k**2/3 + 52*k = 0. What is k?
-3, -2, 0, 1, 26
Factor 2*j**3/7 + 2*j**2 - 72/7.
2*(j - 2)*(j + 3)*(j + 6)/7
Let -o**3/8 + 5*o**2 - 73*o/8 - 57/4 = 0. What is o?
-1, 3, 38
Find a such that -2*a**5 - 72*a**4 + 76*a**3 + 72*a**2 - 74*a = 0.
-37, -1, 0, 1
Factor -3*l**5/5 + 1323*l**4/5 - 147834*l**3/5 + 435594*l**2/5 - 432963*l/5 + 143883/5.
-3*(l - 219)**2*(l - 1)**3/5
Factor -18*v**3/13 - 66*v**2/13 + 370*v/13 - 350/13.
-2*(v + 7)*(3*v - 5)**2/13
Suppose 5*k**4 + 325*k**3 + 5430*k**2 + 4480*k - 10240 = 0. What is k?
-32, -2, 1
Solve 75*j**4/4 - 165*j**3/2 - 297*j**2/4 + 78*j + 60 = 0.
-4/5, 1, 5
Find o such that -8*o**3 - 148*o**2 - 124*o + 280 = 0.
-35/2, -2, 1
Suppose -2*b**5 - 781*b**4/2 - 25446*b**3 - 555295*b**2 - 118300*b + 823875/2 = 0. What is b?
-65, -1, 3/4
Suppose q**5/2 + 541*q**4/6 + 356*q**3/3 - 358*q**2/3 = 0. What is q?
-179, -2, 0, 2/3
Suppose -2*q**5 + 54*q**4 - 118*q**3 - 726*q**2 + 2520*q - 1728 = 0. Calculate q.
-4, 1, 3, 24
Solve 3*f**2 - 3555*f + 3552 = 0 for f.
1, 1184
Factor -2*m**2/5 - 8*m/5 + 2.
-2*(m - 1)*(m + 5)/5
Find s, given that 6*s**3 + 1268*s**2 + 66568*s - 44944 = 0.
-106, 2/3
Suppose 3*t**4 - 3*t**3 - 21*t**2 + 3*t + 18 = 0. What is t?
-2, -1, 1, 3
Determine j so that -j**5/2 - 4*j**4 + 109*j**3/2 - 146*j**2 + 96*j = 0.
-16, 0, 1, 3, 4
Factor -2*n**2/15 - 6032*n/15 - 4548128/15.
-2*(n + 1508)**2/15
Suppose 15*s**5 + 580*s**4 + 3395*s**3 + 6390*s**2 + 4840*s + 1280 = 0. Calculate s.
-32, -4, -1, -2/3
Solve -5*t**3 - 340*t**2 - 1300*t - 1280 = 0.
-64, -2
Let 2*l**4 - 20*l**3 + 18*l**2 = 0. What is l?
0, 1, 9
Let -n**4/3 + 15*n**2 - 140*n/3 + 32 = 0. Calculate n.
-8, 1, 3, 4
Factor 2*v**2/7 - 6*v + 76/7.
2*(v - 19)*(v - 2)/7
Suppose -4*w**3 + 152*w**2 - 1540*w + 4704 = 0. Calculate w.
7, 24
What is i in 25*i**3 - 190*i**2 + 465*i - 360 = 0?
8/5, 3
Solve -5*l**2 + 145*l - 140 = 0 for l.
1, 28
Suppose z**3 - 20*z**2/3 + 9*z - 10/3 = 0. Calculate z.
2/3, 1, 5
Factor -2*a**3/5 + 6*a**2/5 + 2*a/5 - 6/5.
-2*(a - 3)*(a - 1)*(a + 1)/5
Factor 3*p**3/5 - 219*p**2/5 + 1032*p/5 - 816/5.
3*(p - 68)*(p - 4)*(p - 1)/5
Suppose -53240*c**5/3 + 99220*c**4/3 + 4730*c**3 + 655*c**2/3 + 10*c/3 = 0. Calculate c.
-1/22, 0, 2
Find f, given that -2*f**2 + 1104*f + 1106 = 0.
-1, 553
Factor -f**2 + 100*f - 2500.
-(f - 50)**2
Factor -v**3/8 + 15*v**2/8 - 27*v/8 + 13/8.
-(v - 13)*(v - 1)**2/8
Determine m, given that -m**2 + 26*m + 27 = 0.
-1, 27
Factor -5*c**5 - 242*c**4 + 3264*c**3 - 12736*c**2 + 13568*c + 7680.
-(c - 4)**3*(c + 60)*(5*c + 2)
What is t in -57*t**2 - 287*t - 10 = 0?
-5, -2/57
What is a in -3*a**4 + 30*a**3 - 45*a**2 - 30*a + 48 = 0?
-1, 1, 2, 8
Suppose 2*g**5/13 - 86*g**4/13 + 242*g**3/13 - 74*g**2/13 - 244*g/13 + 160/13 = 0. Calculate g.
-1, 1, 2, 40
Solve 45*d**5 - 1300*d**4 + 12005*d**3 - 30150*d**2 - 48500*d - 5000 = 0 for d.
-1, -1/9, 10
Factor -2*x**3 + 12*x**2 - 10*x.
-2*x*(x - 5)*(x - 1)
Solve 4*j**5 + 12*j**4 - 16*j**3 - 48*j**2 = 0 for j.
-3, -2, 0, 2
Let 2*l**4/7 - 6*l**3/7 + 8*l/7 = 0. What is l?
-1, 0, 2
Factor 2*t**2/5 - 2*t + 12/5.
2*(t - 3)*(t - 2)/5
Factor -3*j**4 + 75*j**3 + 3*j**2 - 75*j.
-3*j*(j - 25)*(j - 1)*(j + 1)
Factor -u**5/2 - 3*u**4/2 + 9*u**3/2 - 5*u**2/2.
-u**2*(u - 1)**2*(u + 5)/2
Suppose m**4/5 + 2*m**3 + 13*m**2/5 - 12*m + 36/5 = 0. What is m?
-6, 1
Factor 4*l**3 - 92*l**2 - 96*l.
4*l*(l - 24)*(l + 1)
Suppose i**5 + 12*i**4 - 22*i**3 - 396*i**2 + 405*i = 0. Calculate i.
-9, 0, 1, 5
Factor 2*i**2/15 + 2*i/5 - 12/5.
2*(i - 3)*(i + 6)/15
What is f in 2*f**5/9 + 2*f**4/3 - 52*f**3/9 + 4*f**2 + 50*f/9 - 14/3 = 0?
-7, -1, 1, 3
Factor -3*q**3 - 39*q**2 + 90*q.
-3*q*(q - 2)*(q + 15)
Factor -76*t**3 + 6544*t**2 - 141212*t + 14792.
-4*(t - 43)**2*(19*t - 2)
Determine a so that -a**2 - 13*a + 14 = 0.
-14, 1
Factor -a**2/8 - 310*a + 2481/8.
-(a - 1)*(a + 2481)/8
Solve -3*a**3/5 - 3*a**2 - 21*a/5 - 9/5 = 0.
-3, -1
Factor 5*t**3/4 + 515*t**2/4 + 505*t/2.
5*t*(t + 2)*(t + 101)/4
Determine g so that 18*g**5 + 57*g**4 + 38*g**3 - 41*g**2 - 56*g - 16 = 0.
-4/3, -1, -1/2, 1
Factor i**4/2 - 27*i**3/2 + 57*i**2 - 44*i.
i*(i - 22)*(i - 4)*(i - 1)/2
Let -4*w**5/3 + 32*w**4/3 - 28*w**3 + 24*w**2 = 0. Calculate w.
0, 2, 3
Factor -2*q**4 + 10*q**3 + 116*q**2 + 176*q.
-2*q*(q - 11)*(q + 2)*(q + 4)
Factor 11*z**3 - 13*z**2 - 7*z + 9.
(z - 1)**2*(11*z + 9)
Solve s**3/4 - 4829*s**2/4 + 5827395*s/4 + 5832225/4 = 0.
-1, 2415
Let -24*q**3/5 + 153*q**2/5 - 54*q + 81/5 = 0. Calculate q.
3/8, 3
Solve -5*b**5 + 80*b**4 = 0.
0, 16
Factor 2*l**3 - 72*l**2 - 74*l.
2*l*(l - 37)*(l + 1)
Find r, given that -r**4 - 23*r**3/3 + 107*r**2/3 - 11*r = 0.
-11, 0, 1/3, 3
Determine m so that 2*m**5/3 - 6*m**4 - 2*m**3/3 + 6*m**2 = 0.
-1, 0, 1, 9
Find p such that -3*p**3 + 9*p**2 + 66*p - 72 = 0.
-4, 1, 6
Factor 26*t**5/9 - 206*t**4/9 + 400*t**3/9 + 32*t**2/9.
2*t**2*(t - 4)**2*(13*t + 1)/9
Factor -2*u**4/5 + 12*u**3/5 + 14*u**2/5.
-2*u**2*(u - 7)*(u + 1)/5
Factor 3*k**3 - 42*k**2 + 147*k.
3*k*(k - 7)**2
Factor y**2/9 + 53*y/9 - 488/9.
(y - 8)*(y + 61)/9
Solve 4*r**2 + 392*r + 9604 = 0.
-49
Solve -w**5/3 + 46*w**4 + 280*w**3/3 = 0 for w.
-2, 0, 140
Determine p so that -p**4/2 + 101*p**3 - 10397*p**2/2 + 9700*p + 15000 = 0.
-1, 3, 100
Suppose 4*o**4 + 40*o**3 - 51*o**2 - 79*o - 22 = 0. What is o?
-11, -1/2, 2
Factor -2*z**3/15 + 26*z**2/15 - 32*z/15 - 128/5.
-2*(z - 8)**2*(z + 3)/15
Factor c**2/10 + 1747*c/5 + 3052009/10.
(c + 1747)**2/10
Fi
|
{
"pile_set_name": "DM Mathematics"
}
|
itive.
h**(-83/5)
Simplify (j/(j**(5/13)*j*j)*j**(-4/3))**7 assuming j is positive.
j**(-742/39)
Simplify (v**(-7/5)/(v*v*((v**(-15/2)*v)/v*v)/v))**(-4) assuming v is positive.
v**(-82/5)
Simplify (i**26/(i/(i*i/(i*(i*i**(2/7))/i)*i)))/(i/i**(-1/8))**(-2/31) assuming i is positive.
i**(23251/868)
Simplify ((d**(-2/3)/(d**17/d*d))**(-10))**(-12/5) assuming d is positive.
d**(-424)
Simplify ((w/(w**(-1)*w))/w)/((w/(w*w*w/w**(-1/5)))/w)*(w**(-1/7))**44 assuming w is positive.
w**(-108/35)
Simplify (((i/(i/(i*i/i**(2/7))))/i)/(i/(i/i**(1/2))))/(i**(-7/3))**(-1/6) assuming i is positive.
i**(-11/63)
Simplify (p/(p*p/(p/(p*p**(-9)*p*p)))*p**(-3))/(p**(-2/7)/(p*(p**5*p)/p)) assuming p is positive.
p**(65/7)
Simplify ((i**(-4)/i)**(-1/10)*(i**10*i)/i**(1/8))**(-25) assuming i is positive.
i**(-2275/8)
Simplify ((p*p**(1/19))/p)/p*p/((p**(2/13)*p)/p)*(p/(p/(p/(p**2/p))*p*p))**34 assuming p is positive.
p**(-16821/247)
Simplify (s**0*s**(-1/11))/(s**(-7)*s**(1/5)) assuming s is positive.
s**(369/55)
Simplify (q**(-3/4))**(-1/40)*(q*q*q**21*q)**(-20/7) assuming q is positive.
q**(-76779/1120)
Simplify (j*((j/(j/(((j*j**3*j)/j*j)/j)*j))/j)/j)**(1/69)*((j/((j/((j/j**34)/j))/j*j))/j)/j*j**(-1/41) assuming j is positive.
j**(-101831/2829)
Simplify (u**4)**50*(u/((u/u**6)/u))/(u*u**(-6/5)*u) assuming u is positive.
u**(1031/5)
Simplify (r**(-2/5))**(-6)*(r**(3/5))**33 assuming r is positive.
r**(111/5)
Simplify ((d**(-6)*d/((d/(d/d**(2/3)*d))/d))**(19/2))**48 assuming d is positive.
d**(-1672)
Simplify (((((c/(c*c**(1/7)))/c)/c)/(c*c*c**(-5)))/(c**(1/5)/((c/((c**(-3/7)*c)/c*c))/c)))**(21/2) assuming c is positive.
c**(9/10)
Simplify (w**(-6)/w*w)/(w/(w**1*w))*(w/(w*w**(1/4)))**(-4/23) assuming w is positive.
w**(-114/23)
Simplify (m*(m/m**(-9/4))/m)**(-33)/(m**(-1/14)*m*m)**(-38) assuming m is positive.
m**(-951/28)
Simplify (y*y/(y**(-1/31)/y)*y*y*y)**22/((y**(-2/35)/y)/(y/(y**(-30)/y))) assuming y is positive.
y**(179857/1085)
Simplify ((c/c**(-3)*c)**3/(c**7/(c/(c/(c**(-2/19)/c)))))**(-6/5) assuming c is positive.
c**(-786/95)
Simplify (w*w**18*w*w/w**8)/((w/w**5)/((w*(w/((w*w/(w*w*w*w**(-2/39)))/w))/w)/w*w*w)) assuming w is positive.
w**(817/39)
Simplify (((t**1)**(-3))**(-7))**42 assuming t is positive.
t**882
Simplify (v**(8/9)*v*v*v**(-9))/(v*v/((v*v/(v**(-6)*v)*v)/v)*v*v)**26 assuming v is positive.
v**(647/9)
Simplify (d**0)**(-27)/((d/(d**17*d))/d*d**(-1/13)) assuming d is positive.
d**(235/13)
Simplify (h/((h*h/h**(-1/3))/h))/h*h/(h*h/(h*h*h**(-14)))*h*h/(h**(-14)/h)*h/(h*h/h**(-1/4)) assuming h is positive.
h**(17/12)
Simplify (z**(-3/4)/z)/((z*z/(z*z**1))/z*z)*(z/((z*z**(-12))/z))/(z**(1/6)/z) assuming z is positive.
z**(145/12)
Simplify (j/((j**20/j)/j))/j*j**(13/3)*j*(j**12/j)**(-17) assuming j is positive.
j**(-599/3)
Simplify (w**(-1/3))**(-33)/(w/w**(-2/13)*w**(-3)*w) assuming w is positive.
w**(154/13)
Simplify ((d/(d/(d*d*d**(-1/5)))*d*d)/d**(-7)*d**(5/3)/(d**(-7)/d))**(2/29) assuming d is positive.
d**(614/435)
Simplify ((y/(y/(y**16/y))*y*y/y**(-12))**30)**(-5/3) assuming y is positive.
y**(-1450)
Simplify u**(-3/10)/(u/u**3)*(u/u**10)/u**(-5/4) assuming u is positive.
u**(-121/20)
Simplify (p**(1/11))**(-38)*p*(p*p**19)/p*p**(-3/7)*p*p assuming p is positive.
p**(1395/77)
Simplify i**(1/9)*i**(-9/7)*(i*i*i**(-2))**(-5) assuming i is positive.
i**(-74/63)
Simplify (a**(-1/14)*a/(a*a**(-9)))/(a**(-1/2))**(-47) assuming a is positive.
a**(-102/7)
Simplify (a*a**(1/4))**(32/3)/(a/a**11*a**10) assuming a is positive.
a**(40/3)
Simplify (((z/(z/((z**(-4)/z)/z)))/z)/(z*(z/z**(4/5)*z)/z))/(z*(z/(z**(2/3)/z))/z)**35 assuming z is positive.
z**(-823/15)
Simplify f*((f*f*f**(-15))/f)/f*f*(f/(f*f/((f*f**(-3/16))/f)))/f*f**(-2/35)*f**(2/21) assuming f is positive.
f**(-25451/1680)
Simplify (s**(-11)*s*s**(-4/11)*s)/(((s*s**(4/7)*s)/s)/s**(4/3)) assuming s is positive.
s**(-2218/231)
Simplify (d/(d/(d/d**6)))/d**(2/3)*((d/(d*d**(-3/7)))/d)/(d*d*d**(-15)) assuming d is positive.
d**(142/21)
Simplify d*d**(-2/11)*d**(6/13)/d*d*(d*d**(1/17))/d*d*d**(1/3) assuming d is positive.
d**(19486/7293)
Simplify (((h*((h*h/h**(1/4))/h)/h*h)/h*h)/(h**(5/3)*h))**(-9) assuming h is positive.
h**(33/4)
Simplify (a**21*a**(-4/7))/(a*a**(-2/7)*a*(a**(-1/2)*a)/a) assuming a is positive.
a**(269/14)
Simplify ((a*a/(a/(a/((a/(a/(a/(a*a**1))*a))/a)*a)))/(a*a/(a/(a/(a**(3/10)*a)*a)))*(a*a/(a/(a*(a**(-1)*a)/a*a)))**(13/2))**(26/3) assuming a is positive.
a**(2249/15)
Simplify l**(-1/23)/((l/((l*l*l*l/l**(12/13))/l)*l*l*l)/l*l*l)*(((l**(-2/5)/l)/l)/l)**(-7/3) assuming l is positive.
l**(22276/4485)
Simplify v**27/v**(-10/9)*(v/(v/v**(-5/11)))/(((v**(-28)*v)/v)/v) assuming v is positive.
v**(5609/99)
Simplify (t*t/((t*t**(-5/3))/t))/t*t*t/((t*(t/(t*t*t**(1/2)/t)*t)/t)/t)*t/(t*t/(t*t/(t**(-2/3)/t)))*t**(-8/7) assuming t is positive.
t**(281/42)
Simplify (g*g/g**(-4)*g**(2/13)*(g/g**2)/(g/(g/g**(2/5))))**(-15/2) assuming g is positive.
g**(-927/26)
Simplify ((n/n**(-9/5))/n)/n**3*(n*n/(n*n**(1/4)/n))/n**(2/31) assuming n is positive.
n**(301/620)
Simplify (l*l**(-17/2)/l*(l**5*l*l)/l)**3 assuming l is positive.
l**(-15/2)
Simplify ((l/((((l**(-7/4)*l*l)/l)/l)/l*l))/l)/(l/(l*(l*l**(-11)*l)/l))*l*l/(l/((l**(2/9)*l*l)/l)*l)*l/(l/l**(1/11))*l assuming l is positive.
l**(-2351/396)
Simplify (((r/r**(-7/3))/(r*r**0))**(2/13))**(1/3) assuming r is positive.
r**(14/117)
Simplify (l/l**(-10/7)*l*(l/(l**(2/47)*l))/l)/((l/(l/(l**(15/8)/l)))/l*l/(l*(l*(l/(l**(19/3)*l))/l)/l)) assuming l is positive.
l**(-38077/7896)
Simplify (l/(l/(l*l*l**(-1/2))))**(-2/75)*(l*l**(2/3))/(l**(12/11)/l) assuming l is positive.
l**(1267/825)
Simplify j**8*j**14/j*(j**(-2))**(-34/3) assuming j is positive.
j**(131/3)
Simplify ((g/(g/(g**(-3/2)/g)))**(6/7))**(-27) assuming g is positive.
g**(405/7)
Simplify (s**(1/7)/((s**(-13/5)*s)/s*s))/(((s*s/s**(1/14))/s)/(s/(s*s**(5/2)*s))) assuming s is positive.
s**(-94/35)
Simplify ((r**(7/10))**(1/23))**(7/2) assuming r is positive.
r**(49/460)
Simplify ((b/(((b/(b/(b/b**(-16)))*b)/b)/b))/b*b**(-1/4)/b)/(b/(b*b/(b**21/b))*b**(1/9)) assuming b is positive.
b**(-1309/36)
Simplify (b**(2/3))**(-1/43)*b**(8/3)*(b**(1/9)*b)/b assuming b is positive.
b**(1069/387)
Simplify (((h/h**(4/5))/(h*(h**(-5)/h)/h*h*h))/(h/((h*h/h**(-2))/h)*h)**(-9))**(-1/30) assuming h is positive.
h**(4/25)
Simplify (n*n/(n/(n*n**(-6/13)*n))*n*n*n*n**(-11/2)/n)/(((n**17*n)/n*n)/(n**(-27)/n*n*n)) assuming n is positive.
n**(-1169/26)
Simplify (((d**(1/6)/d)**9)**(2/83))**6 assuming d is positive.
d**(-90/83)
Simplify y**(-5/3)*y**(-10/7)*y*y*y/(y*y**25)*y**16/y assuming y is positive.
y**(-233/21)
Simplify ((j/(j*j**(-2)))**(3/38)*(j**(2/9))**44)**(-1/15) assuming j is positive.
j**(-1699/2565)
Simplify (d**(-3))**35/(d**(-2/11)/(d/(d*d**9))) assuming d is positive.
d**(-1252/11)
Simplify q**(-3/5)/q*q*q**(-32)*((q*q/(q/q**11))/q)/q**(-24) assuming q is positive.
q**(12/5)
Simplify (a**(-44)/(a/(a/(a*a**(39/7)/a)*a)))**(-1/8) assuming a is positive.
a**(85/14)
Simplify ((a/a**(-3/10))/(a/a**(-22)*a))/(a**(-29)*((a/a**(-2/27)*a)/a)/a) assuming a is positive.
a**(1681/270)
Simplify (g**(2/5))**(-2/73)/(g**(-18)/g*g**(-16)) assuming g is positive.
g**(12771/365)
Simplify (((b**(-2/7)/b)**26)**13)**(1/7) assuming b is positive.
b**(-3042/49)
Simplify (y**(3/5)*y**(3/8))/(y**1)**(-24) assuming y is positive.
y**(999/40)
Simplify (o/o**(-2/13)*o)/(o/(o*o**(-16)))*(o/(o**(8/9)*o))/(o/o**(3/8)) assuming o is positive.
o**(-14377/936)
Simplify (w**2*w*w/(w*w**(6/5)))/((w*w**5)/w**10) assuming w is positive.
w**(29/5)
Simplify (((t**(-8))**(-8))**(-1/44))**(-39/5) assuming t is positive.
t**(624/55)
Simplify f*f**(-5/2)*f*f**(-5)*(f*f/(f/(f*f**3))*f)/f**(-2/31) assuming f is positive.
f**(35/62)
Simplify (s**(-3/7)/(s*s/(s*(s*s**(-4/13))/s))*(s*s*(s*s**(-3))/s)/(s**(3/11)/s))**25 assuming s is positive.
s**(-50275/1001)
Simplify ((t**(-3/16)*t)**(-7/4))**(13/4) assuming t is positive.
t**(-1183/256)
Simplify ((y**(-2))**(2/43))**(-10/13) assuming y is positive.
y**(40/559)
Simplify (q**(3/2))**(4/19)/(q**(2/13))**(-1/43) assuming q is positive.
q**(3392/10621)
Simplify (((l*l/l**(2/13))/((((l**(-7)*l)/l)/l)/l))**(17/4))**(-3/34) assuming l is positive.
l**(-423/104)
Simplify q/q**(2/43)*q/q**(-3/7)*((q/q**
|
{
"pile_set_name": "DM Mathematics"
}
|
ive prob of picking 1 w, 1 p, and 1 h.
11/182
What is prob of picking 1 o and 1 p when two letters picked without replacement from {o: 4, p: 2, g: 3}?
2/9
What is prob of picking 2 o and 1 c when three letters picked without replacement from {o: 6, c: 4}?
1/2
What is prob of picking 1 d and 1 r when two letters picked without replacement from {d: 7, r: 2}?
7/18
What is prob of picking 2 g when two letters picked without replacement from {s: 10, g: 2, d: 3}?
1/105
Four letters picked without replacement from {w: 7, s: 4}. Give prob of picking 4 s.
1/330
What is prob of picking 1 e and 1 l when two letters picked without replacement from eleeellllellllll?
11/24
Calculate prob of picking 1 j and 1 v when two letters picked without replacement from joov.
1/6
Calculate prob of picking 1 w and 2 g when three letters picked without replacement from gcgswpn.
1/35
Calculate prob of picking 2 v and 1 g when three letters picked without replacement from {g: 7, v: 3}.
7/40
Three letters picked without replacement from rrrrrlrmxrrrrkkr. What is prob of picking 1 k, 1 r, and 1 x?
11/280
Calculate prob of picking 1 h, 1 a, and 1 f when three letters picked without replacement from {a: 4, h: 3, k: 4, f: 4}.
48/455
What is prob of picking 1 a, 1 l, and 1 c when three letters picked without replacement from dalldctgatlglca?
24/455
Four letters picked without replacement from {i: 2, r: 2, c: 2, d: 1, j: 1}. Give prob of picking 1 j, 2 r, and 1 d.
1/70
Calculate prob of picking 2 p when two letters picked without replacement from {e: 1, u: 1, p: 3}.
3/10
Three letters picked without replacement from kydcr. What is prob of picking 1 y, 1 d, and 1 c?
1/10
Two letters picked without replacement from vvpvvpvvvpvv. What is prob of picking 2 v?
6/11
Two letters picked without replacement from {p: 3, b: 1, j: 1, w: 2, h: 1, m: 5}. Give prob of picking 1 h and 1 b.
1/78
Three letters picked without replacement from gajvvgavgn. What is prob of picking 1 g and 2 a?
1/40
Three letters picked without replacement from {y: 3, l: 6, h: 1, e: 5}. What is prob of picking 1 h and 2 y?
3/455
Two letters picked without replacement from {o: 2, a: 1, g: 1, c: 2, d: 1, b: 2}. What is prob of picking 1 c and 1 d?
1/18
Calculate prob of picking 2 b and 1 h when three letters picked without replacement from {x: 3, i: 5, h: 1, b: 2, f: 5}.
1/560
Calculate prob of picking 1 r and 1 p when two letters picked without replacement from {s: 6, t: 8, p: 1, r: 3}.
1/51
Two letters picked without replacement from pgppptgtggtp. What is prob of picking 1 t and 1 p?
5/22
What is prob of picking 3 n and 1 a when four letters picked without replacement from vwnvwaninuvn?
4/495
Three letters picked without replacement from zxqqgqz. Give prob of picking 1 g, 1 x, and 1 z.
2/35
Two letters picked without replacement from wmwfmmwmfmwf. What is prob of picking 2 m?
5/33
Calculate prob of picking 2 r and 1 a when three letters picked without replacement from alflrlfofffrlll.
1/455
Two letters picked without replacement from {h: 1, g: 3, d: 1}. What is prob of picking 1 h and 1 d?
1/10
Three letters picked without replacement from wwvwwvwwhwvwwvfvv. Give prob of picking 1 h and 2 w.
9/170
Three letters picked without replacement from {n: 5, k: 2}. Give prob of picking 1 n and 2 k.
1/7
Three letters picked without replacement from gycigyycyg. What is prob of picking 1 g, 1 i, and 1 y?
1/10
Four letters picked without replacement from uubbbubuduubuuububdu. Give prob of picking 4 u.
22/323
What is prob of picking 4 v when four letters picked without replacement from {p: 1, v: 5, a: 9, f: 1}?
1/364
Two letters picked without replacement from {f: 1, e: 2, m: 1, n: 3}. Give prob of picking 1 f and 1 m.
1/21
What is prob of picking 3 s when three letters picked without replacement from {p: 3, s: 5, l: 3}?
2/33
What is prob of picking 1 r and 1 z when two letters picked without replacement from {r: 2, q: 3, k: 2, a: 2, z: 3, n: 4}?
1/20
Three letters picked without replacement from {o: 3, b: 1, k: 11}. What is prob of picking 1 o, 1 k, and 1 b?
33/455
Four letters picked without replacement from fknnknfkkknfkkffnnn. What is prob of picking 2 f and 2 n?
35/646
Calculate prob of picking 1 a and 1 d when two letters picked without replacement from dadbdaaaddaaad.
6/13
Four letters picked without replacement from {w: 3, l: 7}. Give prob of picking 1 w and 3 l.
1/2
Calculate prob of picking 2 q and 1 y when three letters picked without replacement from {y: 1, s: 1, j: 1, v: 3, h: 2, q: 5}.
5/143
Calculate prob of picking 1 q and 2 u when three letters picked without replacement from {l: 1, g: 5, q: 1, u: 4}.
2/55
What is prob of picking 2 r when two letters picked without replacement from {r: 7}?
1
Four letters picked without replacement from wwsbgbbbcbwbbbbbbw. What is prob of picking 4 b?
11/102
Calculate prob of picking 2 f and 2 y when four letters picked without replacement from {y: 5, f: 11}.
55/182
What is prob of picking 1 t and 1 d when two letters picked without replacement from {d: 4, t: 3, o: 6, r: 1}?
12/91
Calculate prob of picking 1 p and 1 i when two letters picked without replacement from prrirtrtrettrptlrrlp.
3/190
Three letters picked without replacement from {d: 4, e: 2}. What is prob of picking 1 e and 2 d?
3/5
Two letters picked without replacement from lllll. What is prob of picking 2 l?
1
Two letters picked without replacement from {g: 7, c: 2, v: 2}. Give prob of picking 1 c and 1 g.
14/55
Calculate prob of picking 1 w and 1 h when two letters picked without replacement from hhhhwhwhwhw.
28/55
Calculate prob of picking 2 k when two letters picked without replacement from {h: 4, k: 2}.
1/15
Three letters picked without replacement from ruuurmruum. What is prob of picking 3 u?
1/12
Three letters picked without replacement from {l: 3, q: 3}. Give prob of picking 2 l and 1 q.
9/20
Three letters picked without replacement from {y: 2, v: 3, i: 5}. Give prob of picking 1 i, 1 v, and 1 y.
1/4
Calculate prob of picking 2 l when two letters picked without replacement from {o: 7, r: 2, l: 5}.
10/91
Calculate prob of picking 2 b and 1 j when three letters picked without replacement from jjqjqbjjbqqqjjbjqq.
1/34
What is prob of picking 1 n and 2 l when three letters picked without replacement from {l: 9, n: 3}?
27/55
What is prob of picking 1 b and 2 l when three letters picked without replacement from {g: 2, r: 1, s: 4, m: 6, b: 2, l: 3}?
1/136
Three letters picked without replacement from shpdzsswpzp. Give prob of picking 2 z and 1 s.
1/55
Four letters picked without replacement from jjjjjjjjjj. What is prob of picking 4 j?
1
Four letters picked without replacement from vcceceeccvcev. What is prob of picking 2 c and 2 v?
9/143
Two letters picked without replacement from {w: 3, d: 3}. What is prob of picking 1 w and 1 d?
3/5
What is prob of picking 2 x when two letters picked without replacement from xxxxommmmxmommomxxxo?
14/95
Calculate prob of picking 2 l when two letters picked without replacement from {l: 2, h: 17}.
1/171
Three letters picked without replacement from xhyhyhyhyyyhhyy. Give prob of picking 1 x, 1 y, and 1 h.
48/455
What is prob of picking 2 g and 2 s when four letters picked without replacement from {v: 4, g: 2, s: 10}?
9/364
What is prob of picking 2 n and 1 z when three letters picked without replacement from zznzzzzzzzzzzzzznzzn?
17/380
Calculate prob of picking 1 l and 1 r when two letters picked without replacement from yylrrryyyryryryylr.
14/153
Calculate prob of picking 1 p and 1 i when two letters picked without replacement from {p: 1, x: 1, i: 1, u: 4, k: 2, h: 3}.
1/66
Calculate prob of picking 1 w and 2 m when three letters picked without replacement from wwwwwwmwmwwwwwwmwwww.
17/380
What is prob of picking 1 s and 1 r when two letters picked without replacement from mnqrs?
1/10
What is prob of picking 1 m and 1 z when two letters picked without replacement from amaazzaza?
1/12
Three letters picked without replacement from wppqpwrpwq. What is prob of picking 2 q and 1 p?
1/30
Calculate prob of picking 1 f, 1 s, and 1 c when three letters picked without replacement from jpffffpfcsfffmffjs.
5/204
Four letters picked without replacement from rrrruru. Give prob of picking 2 u and
|
{
"pile_set_name": "DM Mathematics"
}
|
cement from xrxrxxrrrrrrrrfrrx. What is prob of sequence rxxx?
1/102
Three letters picked without replacement from xdidmyeyixmy. Give prob of sequence xiy.
1/110
Calculate prob of sequence bbb when three letters picked without replacement from lbblbbl.
4/35
Three letters picked without replacement from {c: 5, l: 1, m: 5}. What is prob of sequence mlm?
2/99
Two letters picked without replacement from {a: 1, l: 6, c: 5, k: 5}. Give prob of sequence cl.
15/136
Two letters picked without replacement from {j: 1, s: 1, k: 1, x: 1, d: 1}. Give prob of sequence xs.
1/20
What is prob of sequence xo when two letters picked without replacement from ooxxoooooox?
12/55
Four letters picked without replacement from jijjnnjijjj. What is prob of sequence njin?
7/1980
What is prob of sequence ddv when three letters picked without replacement from vddv?
1/6
Calculate prob of sequence rs when two letters picked without replacement from wxrsbvb.
1/42
Four letters picked without replacement from {n: 2, f: 1, a: 4}. Give prob of sequence nfaa.
1/35
Calculate prob of sequence ku when two letters picked without replacement from {k: 4, u: 1, b: 3}.
1/14
Calculate prob of sequence eke when three letters picked without replacement from keekkekk.
5/56
What is prob of sequence eea when three letters picked without replacement from eaeeeeeeeeeeeeeeaeee?
17/190
Calculate prob of sequence jj when two letters picked without replacement from {j: 7, v: 7}.
3/13
Three letters picked without replacement from {q: 2, u: 2, y: 1, z: 1, f: 2, n: 1}. Give prob of sequence znf.
1/252
Calculate prob of sequence jyl when three letters picked without replacement from yljbj.
1/30
Calculate prob of sequence attm when four letters picked without replacement from {a: 8, t: 6, m: 3, q: 1, o: 1}.
5/646
Three letters picked without replacement from mcmmc. What is prob of sequence cmm?
1/5
What is prob of sequence ni when two letters picked without replacement from sejesinejisejae?
1/105
Two letters picked without replacement from yyxkyjyyx. Give prob of sequence kx.
1/36
What is prob of sequence rx when two letters picked without replacement from fffkxrjkrkrrrjx?
1/21
Three letters picked without replacement from ueqehqcbqeccccc. Give prob of sequence bce.
3/455
Calculate prob of sequence dn when two letters picked without replacement from nddddddddnddddnddd.
5/34
Four letters picked without replacement from {g: 3, i: 7}. Give prob of sequence gigi.
1/20
Two letters picked without replacement from uuuuuu. What is prob of sequence uu?
1
Two letters picked without replacement from gwbansa. What is prob of sequence bs?
1/42
What is prob of sequence titt when four letters picked without replacement from {i: 2, t: 16}?
14/153
Calculate prob of sequence nd when two letters picked without replacement from {q: 2, n: 2, d: 5}.
5/36
What is prob of sequence ppp when three letters picked without replacement from dpddppd?
1/35
What is prob of sequence bw when two letters picked without replacement from {a: 3, w: 1, b: 7, i: 1}?
7/132
Four letters picked without replacement from {a: 4, y: 3}. What is prob of sequence ayaa?
3/35
Two letters picked without replacement from dgtrdttt. What is prob of sequence dg?
1/28
Calculate prob of sequence fx when two letters picked without replacement from fxf.
1/3
Four letters picked without replacement from {q: 1, z: 1, m: 1, p: 4, e: 4, h: 4}. What is prob of sequence qhmh?
1/2730
Three letters picked without replacement from {n: 1, h: 1, q: 5, l: 5, o: 2, v: 2}. What is prob of sequence vvh?
1/1680
What is prob of sequence cvup when four letters picked without replacement from ccupupvppc?
1/210
Calculate prob of sequence rhth when four letters picked without replacement from {h: 2, r: 1, o: 1, g: 2, t: 1, s: 1}.
1/840
Three letters picked without replacement from {y: 1, w: 2}. What is prob of sequence wyw?
1/3
What is prob of sequence xx when two letters picked without replacement from {u: 1, x: 3, n: 5}?
1/12
Two letters picked without replacement from lfzki. What is prob of sequence fz?
1/20
What is prob of sequence vvvv when four letters picked without replacement from {j: 2, v: 9}?
21/55
Two letters picked without replacement from eqqqbqbqeeeeqbqbe. Give prob of sequence ee.
15/136
Calculate prob of sequence mq when two letters picked without replacement from mmmmqqm.
5/21
Calculate prob of sequence bjib when four letters picked without replacement from {j: 4, t: 2, b: 3, i: 1}.
1/210
Three letters picked without replacement from {k: 9, q: 6, o: 3, f: 1}. What is prob of sequence kkq?
24/323
Calculate prob of sequence sn when two letters picked without replacement from eiiindseeas.
1/55
Three letters picked without replacement from {t: 1, v: 2, y: 2, h: 1}. What is prob of sequence yvh?
1/30
What is prob of sequence zzo when three letters picked without replacement from {o: 2, z: 7, e: 4}?
7/143
Calculate prob of sequence raa when three letters picked without replacement from {r: 1, g: 2, a: 2}.
1/30
Two letters picked without replacement from bbbbkkbbbbbkkbbkbbb. What is prob of sequence kb?
35/171
What is prob of sequence fwwm when four letters picked without replacement from wfwwm?
1/20
Four letters picked without replacement from {z: 7, p: 5, r: 2}. Give prob of sequence zppr.
5/429
What is prob of sequence fmxx when four letters picked without replacement from nfaakxxmnaaxa?
1/2860
Two letters picked without replacement from {n: 1, k: 1, i: 1, h: 1, m: 1}. Give prob of sequence hi.
1/20
Two letters picked without replacement from {g: 7}. What is prob of sequence gg?
1
Two letters picked without replacement from jkggrjgaaggkrgggjrj. Give prob of sequence gk.
8/171
Calculate prob of sequence ppd when three letters picked without replacement from pppppppppppppppppdpp.
1/20
What is prob of sequence qi when two letters picked without replacement from ibiqiiqib?
5/36
What is prob of sequence bp when two letters picked without replacement from qbfffphffhbffb?
3/182
Four letters picked without replacement from {k: 1, b: 3, d: 4}. Give prob of sequence dbbk.
1/70
Three letters picked without replacement from kkzzkzz. What is prob of sequence kzz?
6/35
What is prob of sequence dlj when three letters picked without replacement from {l: 1, j: 14, d: 2}?
7/1020
Calculate prob of sequence as when two letters picked without replacement from mqpeppsaeppsaspapq.
1/34
Two letters picked without replacement from {x: 8, w: 4, r: 4}. What is prob of sequence wr?
1/15
What is prob of sequence uf when two letters picked without replacement from kufvvuuuufukfuvuu?
27/272
Three letters picked without replacement from {x: 2, u: 2, w: 1, s: 1}. Give prob of sequence sxw.
1/60
Two letters picked without replacement from wwalwllw. Give prob of sequence ww.
3/14
What is prob of sequence na when two letters picked without replacement from {d: 2, a: 8, n: 1, i: 5, v: 3}?
4/171
Two letters picked without replacement from vvldhho. What is prob of sequence ov?
1/21
Calculate prob of sequence ttp when three letters picked without replacement from ppfhhwtwwtwfwhpwttfh.
1/190
Two letters picked without replacement from {i: 15, t: 4}. What is prob of sequence ti?
10/57
Two letters picked without replacement from ddmydydydmyddmyym. Give prob of sequence my.
3/34
Four letters picked without replacement from {m: 3, b: 13, r: 1}. Give prob of sequence rmrb.
0
What is prob of sequence ye when two letters picked without replacement from yheeg?
1/10
What is prob of sequence nf when two letters picked without replacement from {n: 1, p: 1, f: 3}?
3/20
Three letters picked without replacement from iitiiiiiiiiiqiii. Give prob of sequence qti.
1/240
Four letters picked without replacement from {v: 5, a: 1, d: 4, m: 5, z: 1, j: 1}. What is prob of sequence zamd?
1/2856
Four letters picked without replacement from pxzkkwapkxpapkpwk. What is prob of sequence wwxp?
1/2856
Calculate prob of sequence qqzz when four letters picked without replacement from {q: 3, z: 4}.
3/35
What is prob of sequence xe when two letters picked without replacement from {n: 1, l: 4, e: 1, x: 4, f: 3, h: 1}?
2/91
Calculate prob of sequence uqq when three letters picked without replacement from {b: 4, u: 4, q: 2}.
1/90
What is prob of
|
{
"pile_set_name": "DM Mathematics"
}
|
4?
892
Calculate the greatest common divisor of 1546 and 23850142.
1546
Calculate the highest common factor of 1946097 and 477.
9
Calculate the greatest common divisor of 204723 and 9936.
207
What is the greatest common factor of 3625 and 20841430?
145
Calculate the highest common factor of 382134967 and 11636.
2909
Calculate the greatest common divisor of 872 and 84808.
8
Calculate the greatest common divisor of 2235 and 6695762.
149
Calculate the highest common divisor of 4890222 and 108.
18
What is the greatest common divisor of 500 and 6620?
20
Calculate the highest common divisor of 4617 and 115665939.
171
What is the greatest common divisor of 4440924 and 18372?
12
What is the highest common divisor of 100367 and 286739?
167
What is the highest common divisor of 66464 and 70082134?
4154
Calculate the greatest common divisor of 833931 and 382592.
2989
What is the highest common factor of 6 and 75441996?
6
Calculate the highest common factor of 189148863 and 12526.
6263
What is the greatest common divisor of 2298630 and 1351?
193
What is the highest common factor of 83129525 and 8850?
1475
Calculate the highest common factor of 1376 and 3088864.
32
Calculate the highest common factor of 6384 and 74032.
112
Calculate the greatest common divisor of 30140192 and 8705.
1741
What is the greatest common divisor of 3 and 5425193?
1
Calculate the greatest common factor of 56608 and 699304.
488
Calculate the greatest common factor of 2805 and 93245.
85
Calculate the greatest common factor of 2109565 and 320.
5
Calculate the greatest common divisor of 900 and 136428.
12
Calculate the highest common divisor of 541558463 and 41.
41
Calculate the greatest common divisor of 2234818 and 5934.
46
What is the highest common divisor of 3818035 and 11174?
151
Calculate the greatest common divisor of 1181175 and 525.
75
What is the highest common factor of 1350123645 and 94?
47
What is the highest common factor of 54810 and 155904?
1218
What is the highest common factor of 199545 and 115460?
1255
Calculate the highest common divisor of 126 and 23031540.
126
Calculate the highest common factor of 39528 and 144469350.
1098
What is the highest common factor of 621228 and 120?
12
Calculate the highest common divisor of 81035566 and 2414.
2414
Calculate the highest common divisor of 38 and 243363761.
19
What is the greatest common factor of 155 and 37844335?
155
What is the highest common factor of 5104170 and 45?
45
Calculate the highest common factor of 317844 and 4954284.
2916
Calculate the greatest common factor of 74 and 111806.
2
What is the highest common factor of 327 and 5394301?
109
What is the greatest common divisor of 14 and 4574374?
14
What is the highest common divisor of 90595 and 4480?
5
What is the greatest common factor of 23120 and 18904?
136
Calculate the highest common divisor of 13916 and 3277076.
284
Calculate the highest common divisor of 4437765 and 3315.
255
What is the greatest common divisor of 4000321 and 513383?
5083
Calculate the greatest common divisor of 2535 and 21887697.
507
What is the highest common divisor of 165446597 and 62?
31
What is the highest common factor of 1016418984 and 952?
952
Calculate the highest common factor of 101148 and 1404.
12
What is the greatest common divisor of 42176 and 5512535?
659
Calculate the highest common divisor of 244490262 and 19818.
2202
What is the greatest common divisor of 9 and 11703762?
9
Calculate the greatest common factor of 288944616 and 7232.
904
Calculate the highest common factor of 105 and 91456239.
21
Calculate the highest common divisor of 1660 and 3467325.
415
What is the highest common factor of 13296 and 8706664?
2216
What is the highest common divisor of 19 and 45581513?
19
What is the greatest common factor of 95463216 and 144?
144
What is the highest common divisor of 1694 and 2161313?
77
Calculate the highest common divisor of 7129381 and 5026.
2513
What is the highest common factor of 417122 and 365?
73
What is the highest common divisor of 43165 and 9565?
5
What is the greatest common divisor of 238 and 4453078?
14
What is the greatest common divisor of 4380468 and 24?
12
Calculate the greatest common divisor of 2164256 and 61664.
1504
Calculate the greatest common divisor of 6 and 4351258.
2
What is the greatest common factor of 2255 and 452435?
205
Calculate the highest common divisor of 6318237 and 187.
17
What is the highest common divisor of 2505969 and 292254?
2181
What is the highest common divisor of 700284 and 62913?
201
What is the highest common divisor of 5913 and 176530644?
1971
Calculate the highest common factor of 72867715 and 11629.
401
What is the greatest common factor of 1290 and 32145?
15
What is the highest common factor of 714428294 and 5828?
2914
What is the highest common factor of 47992257 and 9?
9
Calculate the greatest common factor of 5135900 and 539.
77
What is the greatest common factor of 3230426 and 116?
58
Calculate the greatest common divisor of 359970 and 7410.
390
What is the greatest common factor of 8651099 and 1007?
19
What is the highest common divisor of 112 and 4200932?
4
What is the highest common factor of 86850348 and 66300?
2652
Calculate the highest common divisor of 400544 and 160.
32
What is the highest common factor of 38 and 891119?
19
Calculate the greatest common divisor of 1422564 and 56628.
1716
What is the highest common divisor of 249584 and 2185?
19
Calculate the highest common divisor of 1575616 and 2492.
28
What is the greatest common factor of 2381 and 1110?
1
Calculate the highest common factor of 216 and 3250017.
27
Calculate the highest common factor of 140 and 880831000.
140
Calculate the highest common factor of 2588160 and 92675.
1685
What is the highest common factor of 572954712 and 264?
264
What is the highest common factor of 158383557 and 279?
279
What is the highest common factor of 1656 and 27421152?
552
Calculate the greatest common factor of 15 and 45249.
3
What is the highest common divisor of 48792177 and 84?
21
Calculate the highest common divisor of 3833423 and 23635.
29
What is the highest common factor of 320700 and 34100?
100
Calculate the greatest common factor of 4 and 7742068.
4
What is the greatest common divisor of 171445185 and 15?
15
What is the greatest common factor of 43776 and 26842554?
342
What is the highest common factor of 6609267 and 24353?
343
What is the highest common divisor of 49728 and 38592813?
777
Calculate the highest common divisor of 48240 and 2286040.
2680
Calculate the highest common divisor of 91712091 and 813.
813
Calculate the highest common factor of 19057 and 44089823.
323
Calculate the highest common factor of 120 and 2805353400.
120
Calculate the highest common factor of 93000551 and 56.
7
What is the greatest common divisor of 646 and 28286402?
646
What is the highest common divisor of 61740 and 387870?
210
What is the highest common factor of 18084 and 362428?
44
Calculate the greatest common divisor of 40 and 118820456.
8
What is the highest common divisor of 10644 and 59412?
12
What is the greatest common factor of 7 and 2718191?
7
Calculate the highest common divisor of 15931 and 10041184.
179
What is the greatest common factor of 7050582 and 23247?
63
What is the highest common factor of 10780293 and 1396853?
10663
Calculate the highest common factor of 40481 and 19579.
7
Calculate the highest common divisor of 14643273 and 493476.
2091
Calculate the greatest common divisor of 288494 and 49.
1
Calculate the greatest common factor of 33202 and 19201.
13
What is the greatest common divisor of 1550790 and 180?
90
What is the highest common divisor of 183498482 and 4055?
811
What is the greatest common divisor of 10230 and 120010?
110
What is the greatest common divisor of 857355 and 549?
183
Calculate the greatest common factor of 47 and 48284557.
47
Calculate the highest common divisor of 3819606 and 462.
42
What is the greatest common factor of 1246 and 4794433560?
1246
What is the highest common divisor of 513 and 495642873?
57
Calculate the greatest common factor of 889791184 and 656.
656
Calculate the highest common factor of 444285 and 960.
15
Calculate the greatest common factor of 52683 and 219147.
51
What is the highest common facto
|
{
"pile_set_name": "DM Mathematics"
}
|
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