 remainder when 27 is divided by r.
6
Suppose -3*i + 3*h + 3 = 0, -3*h - 2*h + 7 = -2*i. Suppose -o = i*o - 295. What is the remainder when o is divided by 15?
14
Suppose 0 = -2*n - 3*n + 145. Let l = n - 15. What is the remainder when 26 is divided by l?
12
Suppose -2*m = 2*c - 26, -2*c - 2*c - 3*m + 56 = 0. What is the remainder when c is divided by (15/12)/((-1)/(-8))?
7
Suppose -y + 14 + 2 = 0. Calculate the remainder when 45 is divided by y.
13
Let g(m) = m**3 + 10*m**2 - 14*m - 30. Calculate the remainder when g(-10) is divided by 28.
26
Let l be (-2)/11 + 268/22. Suppose 0 = 2*x - l + 2. What is the remainder when 8 is divided by x?
3
Suppose s + 2*s - 1134 = 0. Suppose -3*z + n + 515 = 133, 3*z - 3*n = s. What is the remainder when (-1)/(z/130 + -1) is divided by 17?
14
Suppose -5*o = g - 106, -2*o + 5*g + 0*g + 64 = 0. Let d = -61 + 68. Let b = d + o. Calculate the remainder when b is divided by 8.
5
Let c = 303 - 185. Calculate the remainder when c is divided by 12.
10
Let v = -2 - -19. Suppose u + 9 = 3*p, -3*u - 3*p = -0*u - 9. Let b = u + 6. What is the remainder when v is divided by b?
5
Suppose -4*r = -i + 23, 7*i + 8 = r + 4*i. Let m = 11 + r. Calculate the remainder when 7 is divided by m.
3
Let a(j) = 12*j - 2. Suppose 5*s = 9 + 11. Let y(p) = -p**3 + 6*p**2 - 5*p. What is the remainder when a(2) is divided by y(s)?
10
Let n(y) = -y**3 + 8*y**2 + 13*y - 2. Let o be 4 + -1 + -3 + 12. Suppose -3*j = -2*j - o. Calculate the remainder when n(9) is divided by j.
10
Suppose -2*z + 5 = 3*z. Let i(l) = 5*l - 10. Let y be i(6). Calculate the remainder when 11/5 + (-4)/y is divided by z.
0
What is the remainder when 29 is divided by (-3)/(-1)*3 - -1?
9
Let z(v) = -7*v - 53. Calculate the remainder when 27 is divided by z(-9).
7
Let x(t) = t + 4. Suppose 2*z + 3*s = 0, -3*z = s - 0*s. Let l be x(z). Suppose 47 = l*c + 3. What is the remainder when 31 is divided by c?
9
What is the remainder when 17 is divided by -4 + -12*12/(-16)?
2
Calculate the remainder when 1 is divided by 5 - (-1 - 3)/(-1).
0
Suppose 0 = 2*q + d - 0*d - 28, 0 = -2*q - 4*d + 40. Let t = -7 + q. Suppose 0*p = 3*p - 24. Calculate the remainder when p is divided by t.
3
Suppose 76 = c + 3*c. What is the remainder when c is divided by 4?
3
Let j(p) = p**3 + 2*p**2 - 11*p + 6. What is the remainder when 30 is divided by j(-4)?
12
Let y(i) = -i**2 - 2*i - 1. Suppose x - 4*v = -v + 5, 5*x = -v - 7. Let a be y(x). Suppose a*s = -2*s + 14. What is the remainder when 11 is divided by s?
4
Suppose 4*u + 20 = -4*m, -3*m - u - 1 = -6*m. Let x = m + 5. Suppose x*r - 5*c = 148, -r + 7*c - 3*c = -37. Calculate the remainder when r is divided by 13.
11
Suppose -u - 3 = -2*w, 3*w - 3 = u + 4. Calculate the remainder when (3/1)/(2/10) is divided by w.
3
Let b = 3 + -5. Let g = 12 + -7. Calculate the remainder when b/4 - 108/(-8) is divided by g.
3
Let m(s) be the first derivative of 1 + 2*s**2 + 5*s**3 + 5*s - 4*s**3 - 4*s**2. Calculate the remainder when m(4) is divided by 13.
11
Suppose 0 = 2*g - 6, 0 = v - 3*g - g - 69. What is the remainder when v is divided by 21?
18
Suppose 2*y - 13 = 19. What is the remainder when y is divided by 4?
0
Suppose m = 0, n = 2*m + 5 - 1. Suppose 0 = -3*q - n*v + 5, -v + 40 = 4*q - 4*v. Calculate the remainder when 18 is divided by q.
4
Suppose q - 124 = -4*m + 5*m, 2*m + 3*q + 268 = 0. Calculate the remainder when m/(-9) - (-12)/(-54) is divided by 5.
4
Let f be (-4 + 1)*1 + 5. Let y(k) = -k**3 + 3*k + 3. Let d be y(-3). Suppose f*t = d + 3. Calculate the remainder when 23 is divided by t.
11
Suppose 5*v - 5*w - 23 - 57 = 0, -v = -5*w. Suppose -4*b = 4*i - 152, -4*b - 34 = -4*i - 178. Calculate the remainder when b is divided by v.
17
Let b = -25 - -52. What is the remainder when 2248/28 + (-6)/21 is divided by b?
26
Suppose 3*x - 7*x + 2*n + 16 = 0, -3*x + 12 = 3*n. Suppose 5*y + 71 = 4*f, x*f + 4*y - 78 = 2*y. Calculate the remainder when 56 is divided by f.
18
Suppose 6*h + 20 - 68 = 0. What is the remainder when 14 is divided by h?
6
Suppose 121*j = 118*j + 24. What is the remainder when 14 is divided by j?
6
Let g = -46 + 55. Calculate the remainder when 31 is divided by g.
4
Let r(h) = -h**2 - 16*h - 46. What is the remainder when r(-7) is divided by 8?
1
Suppose 11 = -m - 4*q, m = 6*m - 4*q - 41. Let a = m + 2. Suppose 0*t + 100 = 5*t. Calculate the remainder when t is divided by a.
6
Let t(r) = 3*r**3 + 2*r**2 - 2*r - 2. Calculate the remainder when 76 is divided by t(2).
24
Let z = 9 - -46. What is the remainder when z is divided by 29?
26
Let v(l) = 3*l - 2. Let k(a) = a**2 + 12*a + 1. Let z be k(-12). Let i be 10/z*(-6)/(-12). Calculate the remainder when v(i) is divided by 7.
6
Suppose 0*o - 44 = -4*o + 4*c, 26 = 2*o - 3*c. Calculate the remainder when 24 + 1*(-3)/(-3) is divided by o.
4
Suppose l = -3*j + 13, -2*l - 5 + 19 = 4*j. Let w be ((-8)/j)/((-8)/(-276)). Let s = w - -78. What is the remainder when s is divided by 11?
10
Let n = 42 + -25. What is the remainder when 31 is divided by n?
14
Let b = -8 + -1. Let c = 11 + b. Calculate the remainder when 5 is divided by c.
1
Let s = -89 - -104. What is the remainder when 68 is divided by s?
8
Let j(c) = c**2 + 6*c + 6. Suppose 5*f - 13 = -z + f, -2*z = f - 5. Calculate the remainder when z is divided by j(-5).
0
Suppose 2*i + 216 = -2*i. Calculate the remainder when (i/21)/((-1)/7) is divided by 10.
8
Let a(g) = 3*g - 3. Suppose -2 = -5*o - 22, 0 = -5*t - o + 16. What is the remainder when 33 is divided by a(t)?
6
Let k(r) = 3*r + 6. Let v(o) = -o - 3. Let i(a) = -3*k(a) - 7*v(a). What is the remainder when 16 is divided by i(-3)?
7
Suppose -4*r - 24 = -7*r. Let y be ((-4)/2)/(10/(-45)). Suppose 2*k + 38 = 2*d, -4*k + y = -k. Calculate the remainder when d is divided by r.
6
Let l be (2/(-3))/((-9)/918). Suppose 2*s - 20 = l. Calculate the remainder when s is divided by 15.
14
Suppose 2*y - 28 = -2*u, 5*u - 46 = -2*y + 12. Let k = 29 + -1. Calculate the remainder when k is divided by u.
8
Let r = 8 - 6. Let v(f) = -5*f**3 + f + 1. Let t be v(-1). Suppose -t*i + 5 = -10. Calculate the remainder when i is divided by r.
1
Let p(o) = o**2 - 5*o - 8. Let f be p(6). Calculate the remainder when 56/6*(f - -5) is divided by 15.
13
Let f be 2/6 - (-140)/(-15). Let j(o) = -o**3 - 8*o**2 + 8*o. What is the remainder when 140/8 + 1/(-2) is divided by j(f)?
8
Let o(t) = t**3 - 5*t**2 - 6*t + 5. Let x be (-2)/((24/27)/4). Let a be -1 - 3/(x/21). What is the remainder when 9 is divided by o(a)?
4
Suppose 0 = 4*i + 5*w - w - 132, -163 = -5*i - 3*w. Suppose 5*s - s = i. Suppose 0 = 2*m - 12 - s. What is the remainder when 19 is divided by m?
9
Suppose 5*a = -5*l + 110, -4*l = 2*a - 15 - 33. Suppose 0 = -3*u - 0*u - 15. Calculate the remainder when 31 is divided by (-12)/u*a/3.
15
Let w(q) = -q**2 - 9*q - 9. Let z be w(-7). Suppose 1 = y - 1, -z*y = -t + 6. Calculate the remainder when 47 is divided by t.
15
Let v = -28 - -33. Suppose 125 = -0*a + 5*a - v*i, -2*a = i - 44. Calculate the remainder when 90 is divided by a.
21
Suppose 2*i = -4 - 0. Calculate the remainder when (i/4)/((-8)/176) is divided by 4.
3
Let i(y) = 3*y**3 - 2*y + 1. Let p be i(1). Suppose -u - p*u = -54. What is the remainder when u is divided by 20/(-3)*(-3)/2?
8
Suppose 4*b + 8 + 28 = 0. Let d = b + 17. Suppose 4*t - d - 156 = 0. Calculate the remainder when t is divided by 21.
20
Let z = 15 + -6. Let v = 53 + -38. What is the remainder when v is divided by z?
6
Let u = -124 - -176. Suppose -3*c = -2*c - u. Calculate the remainder when c is divided by 18.
16
Let x(j) = 3*j - 8. Calculate the remainder when 11 is divided by x(4).
3
Let r = 109 + -65. Suppose 28 = y + 4*s, 2*y - s = -2*y + r. Suppose 4*h + y = -j, 3*h - 8 = -4*j - j. Calculate the remainder when 6 is divided by j.
2
Suppose -5*m - 25 = 0, 4*v + 5*m - 8 = 11. Calculate the remainder when 32 is divided by v.
10
Suppose 5*o - 22 = -5*w + 83, 4*o - 3*w = 119. Let z(a) = -a + 17. What is the remainder when o is divided by z(8)?
8
Suppose 0*i - i = -26. Calculate the remainder when i is divided by 14.
12
Let w = 26 + -32. Let f = 21 + w. Calculate the remainder when 43 is divided by f.
13
Let y(u) = -u**3 + 8*u**2 + 11*u - 6. Let t(k) = -k**3 - 3*k**2 + k + 2. What 