6
Let x(m) = m**3 - 25*m**2 + 33*m - 12. What is the remainder when x(24) is divided by 23?
20
Let r(i) = i**2 - 2*i + 63. What is the remainder when 250 is divided by r(0)?
61
Suppose 0 = 4*c - 11 - 61. Let r = c + -15. Calculate the remainder when 8 is divided by r.
2
Suppose -144 = -5*q + 4*z, -q - 2*q + 2*z + 86 = 0. What is the remainder when q is divided by 10?
8
Suppose -2*g = -g + 2*w - 144, -5*g + w = -731. Calculate the remainder when g is divided by 15.
11
Let k(s) = 8*s - 14. Calculate the remainder when k(7) is divided by 15.
12
Suppose 2*j + 3*j = -5*x + 25, 0 = x - 5*j + 13. Suppose -3*l + 59 = -4*h, 3*l - 8*l = x*h - 81. Calculate the remainder when l is divided by 6.
5
Suppose -7*o + 105 = -0*o. What is the remainder when o is divided by 4?
3
Let f(u) = u**3 + 11*u**2 - 8*u - 27. Calculate the remainder when f(-11) is divided by 21.
19
Let k(w) = w**2 + 14*w + 8. Let i be k(-13). Let t = i + 15. Calculate the remainder when 49 is divided by t.
9
Let w = -16 - -5. Let n(s) = s**2 + 11*s + 16. Suppose 0 = -3*h + 127 + 56. Calculate the remainder when h is divided by n(w).
13
Let i(u) = -3*u**3 + u**2 - 2*u + 2. Let s be i(2). Suppose -140 = -2*m - 52. Let c = m + s. Calculate the remainder when c is divided by 12.
10
Let z(k) = k**3 + k**2 - k + 38. Calculate the remainder when 150 is divided by z(0).
36
Suppose -21 = -113*g + 110*g. What is the remainder when (-112)/(-6) - (-2)/(-3) is divided by g?
4
Let h(k) = -k**2 - 8*k - 6. Let q be h(-6). Suppose 0 + 15 = -5*m. Let x = q + m. What is the remainder when x is divided by 1?
0
Suppose 0 = -4*j + 5*m + 57, m + 40 = -2*j + 5*j. What is the remainder when ((-5)/(-2))/((-71)/(-10) + -7) is divided by j?
12
Suppose 0 = 2*v - 3*t - 131, -2*v - t + 111 = -0*t. Calculate the remainder when v is divided by 31.
27
Suppose 3*u = -64 + 10. Let l = -13 - u. Suppose 3*z + 2*a - 2 = 2*z, -5*z + l*a + 55 = 0. Calculate the remainder when 15 is divided by z.
7
Let x(v) = -v**3 - 16*v**2 + 16*v - 14. Suppose 5*b + 24 = 8*b. Calculate the remainder when b is divided by x(-17).
2
Let t be 16 - (2 - 1) - 0. Suppose 0*r = -5*r + t. Let m = -5 + 8. What is the remainder when m is divided by r?
0
Suppose 3*i = -3*i + 162. What is the remainder when i is divided by 15?
12
Let t(v) = -v + 41. What is the remainder when 57 is divided by t(20)?
15
Let o(h) = 2*h**2 - 7*h - 9. Let d be o(7). Suppose -d = -2*j - 3*j. Let w = -131 + 145. What is the remainder when w is divided by j?
6
Suppose 13 = 5*n + 3. Let w(a) = a + 2. Let o be w(-6). Let x = n - o. Calculate the remainder when x is divided by 4.
2
Suppose -5*d = -3*d - 66. Calculate the remainder when d is divided by 12.
9
Suppose 0*c = 7*c - 154. What is the remainder when c is divided by 14?
8
Suppose -v + 51 = 3*v + c, 2*v = c + 33. Calculate the remainder when 25 is divided by v.
11
Calculate the remainder when 90 is divided by 11*(-8)/12*-3 + 2.
18
Let n = -1 - -3. Calculate the remainder when 3 is divided by n.
1
Suppose -2*w - 5*f + 44 = -48, -2*f - 157 = -3*w. Calculate the remainder when w is divided by 13.
12
Calculate the remainder when 25 is divided by (3/(3/(-7)))/(-1).
4
Suppose -m + 20 = m. Calculate the remainder when 58 is divided by m.
8
Suppose 2*g - 41 = -3*g - 2*s, -s = g - 10. What is the remainder when 18 is divided by g?
4
Let u be 10/(-5) - -10*1. Suppose 0 = 2*s - 6 - u. Calculate the remainder when 11 is divided by s.
4
Let f = 54 - 39. What is the remainder when 101 is divided by f?
11
Let i = 7 - 4. Suppose -i*v = 9, 0 = t - 4*v + v - 21. Suppose 7*k - 4*k = -4*f + 37, 0 = -3*f + t. Calculate the remainder when k is divided by 4.
3
Suppose 3*h = 9 + 6. Let s = 45 + -66. Let j = s - -23. Calculate the remainder when h is divided by j.
1
Let i(t) = -5*t**2 + t. Let l be i(-1). Let k = l - -21. Calculate the remainder when k is divided by (-1 + -1 + 4)*4.
7
Suppose 2*g - 64 = -2*u, -2*u + 61 = -g - 0*g. What is the remainder when 92 is divided by u?
30
Suppose -9*i = -6*i - 30. Let g = 5 - 0. Suppose g*a - 29 = 1. Calculate the remainder when i is divided by a.
4
Let o(b) = -2*b. Let i be o(-1). Calculate the remainder when 9 is divided by i/((-6)/5)*-3.
4
Suppose -4*v = 3*l - 16, 8 = 2*v + l - 5*l. Calculate the remainder when 13 is divided by v.
1
Let y(s) = -2*s - 2. Let c be y(2). Let o(a) = -a**3 - 6*a**2 - 2*a - 4. What is the remainder when 13 is divided by o(c)?
5
What is the remainder when 74 is divided by (216/(-4))/(-3) - -1?
17
Suppose -4*l = -3*l - 39. Calculate the remainder when l is divided by 14.
11
Let q = 0 + -4. Let z = q + 10. Suppose w - 43 = -3*u, z*w - w - 35 = -3*u. Calculate the remainder when 27 is divided by u.
12
Let k(v) = v**2 + 14*v + 9. What is the remainder when 13 is divided by k(-14)?
4
Suppose 125 = -4*f - 2*c - 35, -2*f = -4*c + 90. Let j = f - -73. Suppose 2*h = -0*h + j. Calculate the remainder when h is divided by 9.
7
Let z = -15 + 21. Suppose -3*o + 5 = -10. What is the remainder when 6 - o/(15/z) is divided by 2?
0
What is the remainder when 43 is divided by ((-120)/(-6) - -3) + 2?
18
Suppose -14 - 4 = 6*p. Suppose 4*y - 4*q = -72, -y = -4*q + 33 - 0. Let v = p - y. What is the remainder when 39 is divided by v?
9
What is the remainder when 102 is divided by (18/(-8))/(17/(-16) + 1)?
30
Suppose -2*d = -6*d + 244. Suppose -4*h - 4 = -4*x, -h - 7 = -x - 3*h. Suppose -x*q = -0*q - 63. Calculate the remainder when d is divided by q.
19
Let c = 36 + -16. What is the remainder when c is divided by 11?
9
Let q(d) = -d**2 - 5*d + 2. Let b be q(-3). Suppose -o + b = 3*o. Calculate the remainder when 5 is divided by o.
1
Let p = -6 + 37. Calculate the remainder when p is divided by 17.
14
Suppose -3*u + 5*r + 24 + 20 = 0, 4*r = 8. What is the remainder when u is divided by 10?
8
Let g be (0 - 3) + (-4)/(-2). Let w be (g + 8)*-1 - -1. Calculate the remainder when 49 is divided by w/10 - 176/(-10).
15
Let v be (-2)/(-3)*(2 + 1). Suppose g - 26 = -2*i + 7, -v*i = -5*g + 105. What is the remainder when g is divided by 8?
7
Suppose -3*r = -15*r + 192. What is the remainder when 26 is divided by r?
10
Let u(v) = -3*v**2 - 14*v - 29. Let l(o) = 2*o**2 + 9*o + 19. Let f(j) = 8*l(j) + 5*u(j). Calculate the remainder when f(-5) is divided by 47/4 + (-1)/(-4).
10
Let v(j) = -j**3 + 8*j**2 - 7*j + 2. Calculate the remainder when 102 is divided by v(3).
24
Let w = 4 - 2. Suppose 2*k + 76 = -0*o + w*o, -4*k = 4*o - 144. Suppose 0 = d + 2*a - 5, -3*a - 2 = 10. What is the remainder when o is divided by d?
11
Let x(o) = o**2 + o - 1. Let f = 15 + -8. Let r(d) = 2*d**2 - 9*d - 4. What is the remainder when r(f) is divided by x(-4)?
9
Suppose 2*x = -0*x + 72. Suppose 3*h = -3*p + x, -4*h + h + 12 = 0. Let w = p + 12. Calculate the remainder when w is divided by 11.
9
Suppose 5*k - 4*k - 4 = 0. Let r = k + 14. Calculate the remainder when 51 is divided by r.
15
Suppose -2*w = -4*w - 3*k + 52, 5*w - 130 = -2*k. Let r = -9 + w. What is the remainder when r is divided by 5?
2
Let r(z) = z**3 + 8*z**2 - 9*z + 8. Suppose 4*b = -0*b + 120. Calculate the remainder when b is divided by r(-9).
6
Let n(a) = -a**2 + 6*a - 5. Let m be n(4). Let b be 53/4 + m/(-12). Let i = b - 4. What is the remainder when 25 is divided by i?
7
Let w(d) = 9*d + 2. Let g = 91 - 75. What is the remainder when w(5) is divided by g?
15
Let g be 11/((-4)/5 - -1). Suppose -b - g = -6*b. Calculate the remainder when 20 is divided by b.
9
Suppose -83 = -2*v - 5*m, 0 = -5*v + 3*m + 29 + 163. What is the remainder when v is divided by 6?
3
Let k(b) = -b + 11. Let p be 1 + 0 - (4 - 3). What is the remainder when 42 is divided by k(p)?
9
Suppose -18 = -2*f - 4*h, -2*h = 3*f - h - 27. Calculate the remainder when f is divided by 4.
1
Let i(b) = -b**3 + 8*b**2 - 7*b + 5. Let m be i(7). Suppose m*p = 4*p. Let z(s) = -s + 13. What is the remainder when 38 is divided by z(p)?
12
Suppose -2*x - 7 = -1. Let t(f) = f**2 - 4. Let h be t(x). Suppose 4*j - p = 81, j - 51 = -h*p - 15. What is the remainder when 40 is divided by j?
19
Calculate the remainder when 8*(21/12 + 0) is divided by 4.
2
Suppose 7*g - 6*g = 53. What is the remainder when g is divided by 9?
8
Suppose 5*g + 8 = -2*p - 19, 4*g = 2*p - 18. Let b = 9 + g. What is the remainder when 5 is d