21, 0 = -2*p + 4*q + 28. Suppose -r = r - p. What is the remainder when 19 is divided by r?
8
Suppose -2*u = 7 - 37. Let x(j) = -j**2 + j + 43. What is the remainder when x(0) is divided by u?
13
Let y(w) = w**3 + 4*w**2 - 4*w. Calculate the remainder when y(3) is divided by 13.
12
Suppose 2*g - 17 = -q, 68 = 4*q - 0*g + g. Let v(k) = -k**3 - 9*k**2 - k - 9. Let d be v(-9). Let p = 32 - d. Calculate the remainder when p is divided by q.
15
Suppose -324 = -48*n + 44*n. Calculate the remainder when n is divided by 33.
15
Suppose 0 = 5*w - 8 - 52. What is the remainder when w is divided by 6?
0
Suppose 4*l - 3*c = 1141, -2*l - 268 + 842 = 2*c. Suppose -5*d = -14 + 4, -4*g + 3*d - l = 0. Calculate the remainder when (2/(-4) - 0)*g is divided by 12.
11
Let z be ((-140)/(-6))/(4/6). Let x = z - 25. What is the remainder when 28 is divided by x?
8
Suppose 2*o = 5 + 11. Calculate the remainder when (46/o)/((-1)/(-4)) is divided by -1 + 18/(-1 + 3).
7
Suppose 3*j = 5*d + 6*j - 13, 4*d + 2*j - 10 = 0. Suppose 0 = -r - d*r. Suppose 0 = 3*q, r*h + 5*h = -5*q + 85. Calculate the remainder when h is divided by 6.
5
Let m be (2*-3 + 3)*-36. Suppose -3*h + m = h. Calculate the remainder when h is divided by 14.
13
Let p(u) = -u**2 + 8*u + 14. What is the remainder when 97 is divided by p(6)?
19
Suppose -2*z = 34 + 12. Let h = 33 + z. What is the remainder when 17 is divided by h?
7
Let n = -20 - -28. Suppose 3*z - 4*y = 7*z - 4, -3*z + n = -2*y. Calculate the remainder when z is divided by 1.
0
Let x = 10 + 0. Let b(d) = 5*d - 2. Let m(y) = -26*y + 10. Let z(n) = 14*b(n) + 3*m(n). What is the remainder when z(-2) is divided by x?
8
Suppose 2*u - 184 = 4*j, -j + 2*j = -5*u + 493. What is the remainder when u is divided by 33?
32
Suppose -n - n + 40 = 0. Suppose 5*j + 5*r = -15, 3*j - 6*r + r = -17. What is the remainder when n is divided by 7 - j*3/3?
9
Suppose 0*i = 2*i + g - 2706, -1356 = -i - 2*g. Let p(z) = z**2 - z - 1. Calculate the remainder when i/24 + (-1)/3 is divided by p(-4).
18
Let m = 3 + -1. Suppose 53 = 3*k - m*u, -u - 2*u = -5*k + 88. Let o(g) = -g**2 - 9*g + 6. Calculate the remainder when k is divided by o(-9).
5
Suppose 0 = -3*q - 3*w - 12, -w + 0*w - 9 = -4*q. Let y be (q + -1)/(3 - 4). Suppose 16 = p - y*p. Calculate the remainder when 30 is divided by p.
14
Suppose -y + 3*o = -19, 4*o + 15 = 3. Let p be (1 - -1)/((-3)/72). Let k = p + 67. Calculate the remainder when k is divided by y.
9
Let d be (-6)/(-5 - -3) - -2. Suppose -16 = -2*u - 0*c - d*c, -2*u - c + 16 = 0. What is the remainder when 14 is divided by u?
6
Let j be (3/(-3))/((-2)/4). Suppose -52 = -6*o + j*o. Let h = 56 - 31. Calculate the remainder when h is divided by o.
12
Suppose 0 = -w + 3*v + 49, 3*v - 134 = -2*w - 0*v. Calculate the remainder when w is divided by 8.
5
Suppose v - 5*z = 40, z = -8*v + 3*v + 174. What is the remainder when 68 is divided by v?
33
Let u be 1 + (-2 + -5 - 0). What is the remainder when 4/u - (-68)/12 is divided by 2?
1
Suppose 0 = c - 3 - 4. Suppose -c*q + 2*q = -35. Let s = 39 - 26. Calculate the remainder when s is divided by q.
6
Let r = -20 + 33. What is the remainder when 34 is divided by r?
8
Suppose 2*h - 5*f = 6*h - 131, 2*h + 5*f - 63 = 0. What is the remainder when 43 is divided by -5 + 3 + h/2?
13
Let z be 1 - (-24)/3 - -1. Let b = -5 + z. Suppose 85 = b*f - 10. What is the remainder when f is divided by 10?
9
Suppose -3*c = -279 + 18. Calculate the remainder when c is divided by 30.
27
Let s = 14 + -9. Suppose 0*c - h + 444 = s*c, -h = 2*c - 177. What is the remainder when c is divided by 23?
20
Suppose -3*a + 2*a - 83 = -4*r, 4*a + 52 = 2*r. Let i be (r/(-2))/(0 - 1). Calculate the remainder when 23 is divided by (-24)/i*30/(-9).
7
Let c be 19/5 + (-1)/(-5). Let d = c - 1. Let y = 3 + 5. Calculate the remainder when y is divided by d.
2
Suppose 3*w - 3*d - 63 = 0, -2*w - d + 39 = -0*w. Calculate the remainder when 36 is divided by w.
16
Let w be 5/(-10) - 114/(-4). Suppose -g - w = -3*t + 10, 5*t = 3*g + 70. Calculate the remainder when 31 is divided by t.
9
Let q(m) = 2*m + 2. Let z be q(2). Suppose 0 = -4*d + 2*d - z, 10 = a - 2*d. What is the remainder when a is divided by 3?
1
Let q = -45 + 49. What is the remainder when 10 is divided by q?
2
Suppose x = -0*x - 2. What is the remainder when ((-6)/8)/(x/48) is divided by 10?
8
Suppose 2*w = 3*w - 3. Suppose -m - 32 = -5*m - 5*p, -m - w*p = -15. What is the remainder when m is divided by 1?
0
Let l = -12 + -3. Let a = 0 + 2. What is the remainder when (-6)/l - 13/(-5) is divided by a?
1
Suppose 4*a - 99 = 37. What is the remainder when 169 is divided by a?
33
Suppose -3*h + 75 = -36. What is the remainder when h is divided by 10?
7
Let f = 2 + -5. What is the remainder when 15 is divided by 16/f*(-9)/6?
7
Suppose 0 = x + 2*x - 72. Let k = x + -15. What is the remainder when 35 is divided by k?
8
What is the remainder when 28 is divided by 2 - (-3 + -5 + 2)?
4
Let w = -75 - -139. What is the remainder when w is divided by 13?
12
Suppose 2*z = -z - 18. Let f(t) be the first derivative of -3*t**2/2 - 6*t - 7. What is the remainder when 35 is divided by f(z)?
11
Let p = 10 + 9. Calculate the remainder when 75 is divided by p.
18
Suppose 0 = 3*o - 27 + 9. Suppose o = -2*f + 30. What is the remainder when 23 is divided by f?
11
Suppose -5*g + y = -76, -2*y = 5*g - 6*y - 79. Calculate the remainder when 55 is divided by g.
10
Calculate the remainder when 79 is divided by 10/65 + 258/13.
19
Suppose 0 = -3*s + 111 + 54. Calculate the remainder when s is divided by 7.
6
Let v be (6/8)/((-2)/(-8)). What is the remainder when 25 is divided by (4 + 3)*v/3?
4
Let p(m) = m**3 - 15*m**2 + 5*m. Calculate the remainder when p(15) is divided by 13.
10
Let a = -5 - -9. Let u = 16 + a. What is the remainder when 39 is divided by u?
19
Calculate the remainder when 82 is divided by 422/15 + (-10)/75.
26
Let d = -12 + 21. Let v = 7 + d. Suppose -c + 30 = 4*c. What is the remainder when v is divided by c?
4
Suppose -4 = 4*x, -5*b + 3*x + 198 = -90. Let p(q) = 5*q**2 - 4*q + 3. What is the remainder when b is divided by p(2)?
12
Suppose -3*k - 2 = -q - 1, -3*k - 3 = -3*q. Suppose -g - q = -14. What is the remainder when g is divided by 8?
5
Suppose -2*z + 46 = 5*o - 52, -o + 5*z = 2. Let v = -9 + o. What is the remainder when v is divided by 3?
0
Calculate the remainder when 13 is divided by 8 + (-2 + 7)/(-5).
6
Let v be (-20)/(-15) - (-328)/6. Suppose -3*d + 0 + 9 = 0. Suppose d*q = v - 5. Calculate the remainder when 49 is divided by q.
15
Let j = 55 - 49. Suppose -3*x - 4*c + 1 = -39, -5*x = 2*c - 76. What is the remainder when x is divided by j?
4
Suppose 0 = -0*q - 3*q + 6. What is the remainder when 29 is divided by q/12 + (-267)/(-18)?
14
Suppose 0 = -z - 3*z + 176. Let t = z - 25. Let c = 36 - t. What is the remainder when c is divided by 9?
8
Let l = 31 + -22. Let t = -3 - -13. Let b(u) = u**3 - 9*u**2 - 9*u + 15. Calculate the remainder when b(t) is divided by l.
7
Let v = 13 + -21. Let y(o) = -o - 1 - 4 - o. What is the remainder when 21 is divided by y(v)?
10
Let x = 117 + -78. Calculate the remainder when x is divided by 11.
6
Suppose -r + 0*m = 4*m - 6, 5*r - 45 = -5*m. Calculate the remainder when 38 is divided by r.
8
Let c = 13 + -22. Calculate the remainder when 31 is divided by c/(-15) - (-37)/5.
7
Suppose -2*s + 40 + 84 = 0. Calculate the remainder when s is divided by 16.
14
Let r(g) = 3. Let y(n) = n + 13. Let x(q) = -26*r(q) + 6*y(q). What is the remainder when x(3) is divided by 7?
4
Let q(u) = -2*u + 4. Let p be q(5). Let a = p + 25. What is the remainder when 75 is divided by a?
18
Let v = 16 - 12. Calculate the remainder when 9 is divided by v.
1
Suppose 6 = -4*q + 6*q. Suppose 14 = 3*b + b - q*c, 0 = -2*b - c + 2. What is the remainder when b is divided by 1?
0
Let z = -5 + 11. Calculate the remainder when 10 is divided by z.
4
What is the remainder when ((-126)/(-12))/((-6)/(-8)) is divided by 8?
6
Let r = 6 - -14. Let z = 4 + -1. What is the remainder when 112/z + (-2)/(-3) is divided by r?
18
Let c = -6 + 11. Calculate the remainder when 33 is divided by 6 + (c - 2 - 0).
6
Let w = -2 - -6. Suppose 12*y - 16*y + 4 = 0. Let n = y + 14. Calculate the remainder when n is d