 h. Suppose 2*x + 0*x + 3*u = 0, -x - 4*u = q. What is the remainder when 15 is divided by x?
3
Suppose 3*s - 5*q + 8*q - 81 = 0, 4*q - 86 = -3*s. Calculate the remainder when 41 is divided by s.
19
Let o(m) = 5*m**3 - m**2 + m. What is the remainder when 19 is divided by o(1)?
4
Suppose -2*o + o + 14 = 0. Calculate the remainder when 36 is divided by o - (-3)/(3/(-1)).
10
Let a(p) = p**3 - 2*p**2 - 3*p + 5. Suppose 0*h - 2*h = -8, l + 3*h - 29 = 0. Calculate the remainder when l is divided by a(3).
2
Let v(u) = -u**2 - 8*u + 14. Let n be v(-10). Suppose -g + 0 - 1 = 0. Calculate the remainder when 31 is divided by ((-22)/n)/g*-3.
9
Suppose o = c + c + 18, -4*o + 63 = -5*c. Calculate the remainder when 35 is divided by o.
11
Suppose 0 = -5*w + 22 - 7. Suppose 2*n + 60 = -f + 2*f, 0 = -w*f - 3*n + 171. What is the remainder when f is divided by 30?
28
Let a(f) = -7*f - 22. Calculate the remainder when 97 is divided by a(-6).
17
Let o = 7 - -1. Calculate the remainder when 7 is divided by (-2*1)/((-4)/o).
3
Let u(y) = 2*y + 2*y**2 - 1 - 2 - 5*y**2. Let j(k) = -16*k**2 + 11*k - 16. Let g(m) = 2*j(m) - 11*u(m). What is the remainder when g(0) is divided by 1?
0
Suppose -k + 15 = 2. Let i(c) = 6*c + 8. Let a(n) = -n + 2. Let t be a(-5). Calculate the remainder when i(t) is divided by k.
11
Suppose 0*c + 4*c - 16 = 0. Suppose c*n - 8 = -0*n. Calculate the remainder when 5 is divided by n.
1
Suppose m - 3 = 15. What is the remainder when m is divided by 7?
4
Let x(r) = r + 7. Suppose -u + 11 = 4*p, u - 3*p + 13 = -4. Let c be x(u). What is the remainder when 63/2 - 1/c is divided by 11?
9
Suppose 3*g = -n + 43, -n = 3 - 1. Calculate the remainder when g is divided by 4.
3
Suppose -3*i + 69 = -0*i. Calculate the remainder when (-3)/(2 - -1) - -68 is divided by i.
21
Let t = 20 + -10. Suppose -s + 7 + t = -2*n, -4*n - 21 = -s. Calculate the remainder when 36 is divided by s.
10
Suppose 89*l - 90 = 86*l. Let g = -19 + 35. What is the remainder when l is divided by g?
14
Let i be 1/(-4) + 338/8. Suppose 0 = -5*h + i + 28. Let j = 24 + 17. What is the remainder when j is divided by h?
13
Suppose -7*h = -3*h - 3*r + 39, 4*r = 4*h + 44. Let o = h + 14. What is the remainder when o is divided by 5?
3
Suppose 0 = d - 2*k - 78, d - 23 = 5*k + 64. Suppose 2*p + 2 = d. Suppose 45 = 8*q - 3*q. What is the remainder when p is divided by q?
8
Suppose -5*s + 22 = -4*d, -d - 9 = 2*d. Suppose 10 = -s*h, 1 = -2*w - 4*h + h. Suppose z + 38 = 3*z. What is the remainder when z is divided by w?
5
Suppose -2*h = -23 - 31. Calculate the remainder when 77 is divided by h.
23
Calculate the remainder when 130 is divided by (0 - 2 - 31)*-1.
31
Suppose 0 = 4*g + g. Let w be (0 - 1/2)*0. What is the remainder when 24 - w - (0 - g) is divided by 13?
11
Let y = -45 + 66. What is the remainder when 39 is divided by y?
18
Suppose 2*i - 4*i + 410 = 0. Suppose 51 = k - 2*u, i = 5*k + 5*u + 10. What is the remainder when k is divided by 11?
10
Let q = -42 + 45. What is the remainder when 2*-4*(-1 + 0) is divided by q?
2
Let l(s) = s**2 + 6. Suppose 2*n - 7 = i, 5*i + 0*i - 4 = -3*n. Suppose -n*a = 3*u - 21, u - 4 = -a - a. Calculate the remainder when u is divided by l(0).
4
Suppose -29 = -3*q + 43. Calculate the remainder when 71 is divided by q.
23
Let m(o) = -o**3 - 7*o**2 + 13*o. What is the remainder when m(-9) is divided by 14?
3
Let q(l) = l**2 + 13*l - 21. What is the remainder when q(-16) is divided by 16?
11
Suppose -5*s + 1 = 3*v + 4, 5*s - 4 = 4*v. Suppose -y + 5 = 0, 2*u - 3*y - 27 = -s*y. What is the remainder when u is divided by 8?
5
Suppose -8 = -4*d - 4*m, -2*m - 14 = -d - 0. Suppose 0 = -d*f + 2*f + 168. What is the remainder when f is divided by 22?
20
Suppose -21 = -8*x + 11. Calculate the remainder when 6 is divided by x.
2
Suppose 6*b + 4*x - 28 = 3*b, 3*x = -4*b + 28. Calculate the remainder when 6 is divided by b.
2
Calculate the remainder when (-2 - (-7)/2) + (-1159)/(-38) is divided by 7.
4
Suppose 3*s + 7 + 11 = 0. Let d(u) = 2*u**2 + 3*u - 8. Suppose -2*h + 4*w = -32, h = 2*h + 4*w - 16. Calculate the remainder when d(s) is divided by h.
14
Let x = 102 + -50. Suppose 4*z = -16 + x. Suppose -4*w + 2*i - 4*i = -58, -2*w + 44 = -4*i. What is the remainder when w is divided by z?
7
Suppose 0 = -8*x + 2*x. Suppose x + 10 = d. Calculate the remainder when 18 is divided by d.
8
Let m(c) = c**3 + 7*c - 1 + 9*c**2 - 2 + 6. Calculate the remainder when m(-8) is divided by 7.
4
Suppose -2*z = -0*z. Let q = 7 - z. What is the remainder when 24 is divided by q?
3
Suppose 5 = -5*w, 5*s = 5*w - 0 - 10. Let z = 2 - s. Suppose m + 0*i = -2*i + 19, m - z*i = 19. Calculate the remainder when m is divided by 7.
5
Let n = -12 + 15. Suppose 2*r - 22 = n*x + 19, 28 = r - 4*x. Calculate the remainder when 46 is divided by r.
14
Suppose 0 = n - 3*n. Suppose 2*t = v - 7, -2*t = v + 1 - n. What is the remainder when t*(2 + 105/(-6)) is divided by 8?
7
Let p(c) = -2*c - 2. Let r(a) be the third derivative of -a**4/24 - a**3/3 + a**2. Let y(x) = -2*p(x) + 3*r(x). What is the remainder when 2 is divided by y(4)?
0
Suppose 2*z - 3*s = 27, -4*z - s = 4*s - 109. Calculate the remainder when 6/(69/z + -3) is divided by 11.
10
Suppose 58 + 21 = l. Let b = -120 - -140. Calculate the remainder when l is divided by b.
19
Let t = 3 - 1. Suppose t*c - 10 = 16. What is the remainder when c is divided by 2/(-8) + 58/8?
6
Let x(n) = n + 8. Calculate the remainder when 11 is divided by x(-4).
3
Let l = -39 - -51. What is the remainder when 82 is divided by l?
10
Let u(l) = l**2 - 7*l - 8. Suppose 0 = -f - 0 + 3. Calculate the remainder when u(9) is divided by f.
1
Calculate the remainder when 233 is divided by -5 + (4 - 162/(-6)).
25
Calculate the remainder when 19 is divided by 7*(1 - (-15)/35).
9
Suppose -42 = -s - 5*d, 4*s + 139 = 2*d + 417. What is the remainder when s is divided by 17?
16
Let r = 11 + -3. Calculate the remainder when 31 is divided by r.
7
Suppose 5*k - 61 = -7*u + 3*u, k = 3*u - 41. Calculate the remainder when 25 is divided by u.
11
Let g(h) = -3*h**3 + 3*h**2. Let j be g(-3). Let w = j + -58. What is the remainder when w is divided by 13?
11
Suppose p - 4*p + 51 = 0. What is the remainder when 49 is divided by p?
15
Let o be (2 - 1) + 63 + 0. Let l = o - 42. Calculate the remainder when l is divided by 8.
6
Let c(r) = -7 - 5*r**2 + 4*r**2 - 2*r - 5*r. Suppose -5*a - 5 = 0, 5*l - a - a - 37 = 0. Calculate the remainder when l is divided by c(-5).
1
Let j be (2/8 - 1)*-4. Let y(v) = -2 - v + 3*v - 4 - j*v. What is the remainder when 5 is divided by y(-8)?
1
Suppose 0 = -0*f - 5*f + 2*u + 6, 15 = 3*f - 5*u. Calculate the remainder when 52 is divided by (-4 - -13) + f + 2.
8
Let t(i) = 3*i - 15. Calculate the remainder when 79 is divided by t(14).
25
Let r = 6 + -3. Suppose -r*o = -o - 6. What is the remainder when 8 - (2 + 2 + 0) is divided by o?
1
Suppose 0*a - 3*a = -63. Let m = a - -9. What is the remainder when m is divided by (2*-2)/(4/(-8))?
6
Let w = 36 - -214. Calculate the remainder when w is divided by 23.
20
Let s = 18 + -8. Let j be 4/(-6) - (-16)/6. Suppose -j*i - s = -76. What is the remainder when i is divided by 17?
16
Suppose 23 = 4*z - 97. Let t be ((-22)/4)/(2/4). Let n = -3 - t. What is the remainder when z is divided by n?
6
Let l(k) be the third derivative of -k**5/60 - k**4/6 - k**3/6 + k**2. Let c be l(-4). Let z(p) = 13*p**2 + p. What is the remainder when 34 is divided by z(c)?
10
Let i(q) = -2*q - 13. What is the remainder when 38 is divided by i(-17)?
17
Suppose -2*y = -3*y + 4. Suppose 4*q = q - 2*t + y, 0 = 2*q + 5*t - 10. Suppose q = -2*r + 1 + 7. What is the remainder when r is divided by 2?
0
Suppose 122 = 8*l - 94. What is the remainder when l is divided by 8?
3
Let j = -192 - -290. Calculate the remainder when j is divided by 20.
18
Let n = 30 - 13. Suppose -u - 3*k = -13, 3*u - 3*k + k - n = 0. Let g = -23 - -41. Calculate the remainder when g is divided by u.
4
Suppose j - 18 = -4*x, x - 4*x + 12 = 0. Suppose 0 = -j*c - c + 24. Let z = c - 6. What is the remainder when z is divided by 1?
0
Let q = 15 + -10. Suppose -n + 3*g = -203, 1045 + 25 = q*n - 4*g. Suppose 4*a - n = -30. What is the remainder when a is divided by 16?
15
Suppose 0 = -5