Suppose -2*u - 3*y - 8 = -y, -3*u + 16 = -4*y. Let o = 3 - u. Suppose 5*s - 13 = 5*n + 12, o*n + 11 = 2*s. What is the remainder when s is divided by 3?
1
Suppose -5 + 38 = 3*j. What is the remainder when 32 is divided by j?
10
Let q = -59 + 93. What is the remainder when q is divided by 7?
6
Let k = -11 - 3. Let n = 34 + k. Calculate the remainder when 39 is divided by n.
19
Suppose -5*f + 138 = -7. Suppose -2*a + 9 = 5*d - 4, 4*d + 16 = 5*a. Let c = 6 + a. What is the remainder when f is divided by c?
9
Suppose 6*v = v. Suppose 3*d + v*s = -4*s - 18, -5*d - 3*s = 30. What is the remainder when 9 is divided by (d/(-5))/(12/30)?
0
Let u = 27 - 10. What is the remainder when 65 is divided by u?
14
Suppose 2*q - 5*q + 342 = 0. Suppose -2*l + q = l. Calculate the remainder when l is divided by 10.
8
Let k(t) = t + 8. Let l be k(-7). Suppose -j = -1 - l. Suppose -3*w - 5*m + 35 = j*w, w + 2*m - 9 = 0. What is the remainder when 9 is divided by w?
4
Let v = 18 - -2. What is the remainder when 30/(-12)*(-468)/15 is divided by v?
18
Let t(m) = -m**2 - 6*m + 3. Let p be t(-6). Suppose 4*k + 24 = 4*y, -2*y - 7*k + p*k + 6 = 0. Calculate the remainder when 8 is divided by y.
3
Calculate the remainder when 143 is divided by (5/(-2) - -2)*222/(-3).
32
Suppose 4*u = 72 - 16. Suppose 0 = 4*d - 8. Suppose 5*m - 5*z - 285 = -0*m, -2*z = d*m - 98. Calculate the remainder when m is divided by u.
11
Let v(q) = q**3 + 3*q**2 - 3*q + 3. Let s be v(-3). Let d = -4 + s. Let h = -6 - -9. Calculate the remainder when d is divided by h.
2
Calculate the remainder when 68 is divided by (-4 - -6)*17 - -2.
32
Let d = 9 + -15. Calculate the remainder when (-104)/d + 6/9 is divided by 10.
8
Let q = 152 + -72. Suppose -3*a = 2*a - q. Calculate the remainder when 45 is divided by a.
13
What is the remainder when 61 is divided by -15*(4 - 92/20)?
7
Suppose -7*n = -4*n - 27. What is the remainder when 26 is divided by n?
8
Let f(r) = -r**3 - 2*r**2 + 2*r + 3. Calculate the remainder when (-12)/20 - 354/(-15) is divided by f(-3).
5
Let q(d) = -2*d**3 - 5*d**2 + d - 3. Suppose -10 = 2*s, 5*s = -2*j - 0 - 33. What is the remainder when q(j) is divided by 11?
8
Let p(q) be the third derivative of q**6/120 + q**5/60 - 5*q**4/24 + 2*q**3/3 - 5*q**2. What is the remainder when p(4) is divided by 22?
20
Let b(z) = -7*z**2 - 2*z - 7. Let t(g) = -8*g**2 - 3*g - 8. Let h(o) = -7*b(o) + 6*t(o). Calculate the remainder when h(6) is divided by 7.
6
Let k = -3 + 5. Suppose 4*o = 5*m + 23, 6*o - k*m - 26 = 2*o. What is the remainder when 26 is divided by o?
5
Let c(g) = g**3 - 6*g**2 + 4*g + 5. Let w be c(5). Let m = 3 - w. Suppose 4*r - 3*x = 9, m*x - 15 = -0*x. What is the remainder when r is divided by 4?
2
Suppose -g + 0 = -26. What is the remainder when g is divided by 9?
8
Let r = 92 + -11. What is the remainder when r is divided by 17?
13
Let l = 7 - -9. Calculate the remainder when l is divided by 6.
4
Calculate the remainder when 1708/12 - (-5 + (-13)/(-3)) is divided by 16.
15
Suppose 2*l - f = 4*f + 20, 5*l - 16 = 4*f. Suppose -5*b + 9 + 16 = l. Let n = -13 + 21. Calculate the remainder when n is divided by b.
3
Let w = 24 + -12. Calculate the remainder when w is divided by 3.
0
Suppose 0*y - 3*c = 4*y - 274, -y = 2*c - 66. What is the remainder when y is divided by 24?
22
What is the remainder when 4/(-12) + 580/12 is divided by 10?
8
Let d(g) be the third derivative of 0 + 1/30*g**5 + 0*g + 1/24*g**4 - 2*g**2 + 1/6*g**3. Calculate the remainder when d(-3) is divided by 9.
7
Let a(k) = -k**2 - k + 9. What is the remainder when 24 is divided by a(0)?
6
Suppose -5*p = -135 + 40. Calculate the remainder when 75 is divided by p.
18
Let x(d) = 14*d + 1. Suppose 0 = 3*c - 4*o - 30, 36 + 4 = 4*c - 2*o. Calculate the remainder when x(1) is divided by ((-32)/(-10))/(4/c).
7
Suppose 221 = 19*j - 444. Let s(n) = 2*n**3 - 2*n**2 + n - 2. Let g be s(2). Suppose 3*l + g = 44. What is the remainder when j is divided by l?
11
Suppose 57 = 5*t - f, -t + 23 = 2*f + 5. Calculate the remainder when 59 is divided by t.
11
Suppose 0 = -3*c - 15, 0 = 4*u - 2*c - c - 79. What is the remainder when 58 is divided by u?
10
Suppose 11*w - 6 = 401. What is the remainder when w is divided by 29?
8
Let k(u) = -2*u - 4. Let p be k(-8). Suppose p - 4 = 4*s. Calculate the remainder when 7 is divided by s.
1
Suppose 4*p - 2*p - 234 = -4*h, -12 = -4*p. Calculate the remainder when h is divided by 15.
12
Let f = 13 - -24. Let z = 25 - 6. Calculate the remainder when f is divided by z.
18
Let x = 21 - 9. Calculate the remainder when x is divided by 3.
0
Suppose -812 = -4*o + 3*c, -2*o - 2*o + 796 = c. Suppose -3*q - 2*d + 105 = -0*q, -5*q = -5*d - o. What is the remainder when q is divided by 13?
11
Let t = 20 + 0. What is the remainder when t is divided by 11?
9
Suppose 2 = t - h, t + 4*h = 3*t + 4. Let x = -1 - -3. Suppose -x*d - d + 48 = 0. Calculate the remainder when d is divided by t.
4
Let v(n) = -n**3 + 9*n**2 - 8*n - 10. Let z be (-1)/(-3) + 40/6. What is the remainder when v(z) is divided by 22/(-5)*(-10)/4?
10
Let s(u) = -4*u**2 - 3 + u**3 + 5*u**2 + 1. Let a be s(2). Let k = -6 + a. What is the remainder when 10 is divided by k?
2
Let v = 34 + -21. Let k = 448 - 398. Calculate the remainder when k is divided by v.
11
Suppose 4*y + y + 5*t = 0, 2*t + 8 = 0. Suppose -y*c + 2*g - 5*g = -72, -2*c + 18 = -3*g. Calculate the remainder when c is divided by 8.
7
Let k = 0 - -3. Suppose -k = -4*p + 1. Let t = 6 - p. What is the remainder when 13 is divided by t?
3
Let y = 36 + -14. What is the remainder when y is divided by 8?
6
Let l(z) = -3*z**3 + 2*z**2 + 4*z + 2. Let o(c) = c**3 + 4*c**2 - 3*c - 5. Let h be o(-4). Calculate the remainder when l(-2) is divided by h + (-2 - (-6 + 2)).
8
Suppose -2*i + 50 = 16. Calculate the remainder when 151 is divided by i.
15
Let s = -17 - -19. Suppose -s*d = -4*i - 20 + 6, 5*d = -i + 57. What is the remainder when 31 is divided by d?
9
Let i = -120 - -149. Suppose -j = 2*j - f - 340, 0 = 2*f - 4. Calculate the remainder when j is divided by i.
27
Suppose 0 = -r - 1 + 30. Suppose 25 + 5 = 6*a. Suppose 0*o - 3*w = -2*o + a, -5*w = 2*o - 45. What is the remainder when r is divided by o?
9
Let z = 38 + -11. Calculate the remainder when z is divided by 84/16*8/3.
13
Suppose 0*f - 5*f - 2*m + 31 = 0, -3*f - 2*m = -21. Suppose f*b - 28 = b. What is the remainder when 20 is divided by b?
6
Let a = 34 + 11. What is the remainder when a is divided by 12?
9
Let z(r) = 0*r**2 - r**3 + 11*r**2 - 8*r - 36 + 39. What is the remainder when z(10) is divided by 12?
11
Let u = 0 + 3. Suppose -3*g + u*c = 2*c - 17, -3*c - 16 = -2*g. Suppose 2*d = -g*b + 14, 0 = d + 3 - 5. What is the remainder when b is divided by 1?
0
Suppose -5*d = -18 - 17. Suppose -w - 3 = -2*w. Calculate the remainder when d is divided by w.
1
Suppose -4*o - 3*c = -123 + 40, 4*o - 88 = -4*c. What is the remainder when 50 is divided by o?
16
Suppose 5*p - 8 = -q, -p = -q - 5*p + 11. Suppose -8 - 16 = -2*j. What is the remainder when q is divided by j?
11
Suppose t - 6*t - 67 = -3*x, 5*x - 60 = -2*t. Suppose -82 = -5*h + 123. What is the remainder when h is divided by x?
13
Suppose 0 = -5*j + 20 + 75. Calculate the remainder when j is divided by 5.
4
Suppose -2*t = 3*z - 56 - 19, 0 = 4*z - 20. Calculate the remainder when 118 is divided by t.
28
What is the remainder when 20 is divided by (3 - 4) + 2*(-20)/(-8)?
0
Suppose u + 187 = 3*b - 3*u, -16 = 4*u. What is the remainder when b is divided by 15?
12
Let w(c) = -c**3 - 13*c**2 + 14*c + 29. Let t(v) = 2*v. Calculate the remainder when w(-14) is divided by t(5).
9
Let p(a) = a**3 - 9*a**2 + 9*a + 4. Let f be p(8). Suppose -9*i + 5*i = -f. Calculate the remainder when 10 is divided by i.
1
Let o be (15/9)/((-1)/(-3)). Suppose o = r - 8. Let p = 6 - -1. Calculate the remainder when r is divided by p.
6
Suppose -3*v - 105 = -3*g, -2*g + 46 = 2*v + 2*v. Let p = g - 12. Suppose -35 = -9*a + 4*a. What is the remainder when p is divided by a?
5
Let d = 6 + -2. Let s = -31 - -34. What is the remainder when d is divided by s?
1
Let k(y) = y**3 + 13*y**2 + 20*y - 4. What is the remainder when 64 is divided by k(-11)?
10
Suppose 84 = 4*p + 3*p. Calculate the remainder when 23 is divi