Let r(c) = c**3 - 6*c**2 - c - 25. What is the remainder when p is divided by r(7)?
11
Let z(c) = -c**3 - 7*c**2 + 6*c + 12. Suppose -19*t + 11*t = -880. Calculate the remainder when t is divided by z(-8).
26
Let j = -162 - -182. Calculate the remainder when 77 is divided by j.
17
Let b = 36 + -68. Let v = b + 47. What is the remainder when 44 is divided by v?
14
Suppose 3*u = h + 281, 6*u + 3*h = u + 445. What is the remainder when u is divided by 12?
8
Let p(i) = -i**2 - 11*i - 6. What is the remainder when p(-6) is divided by 9?
6
Let u be (4*14/2)/((-5)/(-200)). Suppose -u = b - 9*b. Calculate the remainder when b is divided by 36.
32
Suppose 33*h - 1300 - 1637 = 0. Calculate the remainder when h is divided by 9.
8
Let a(l) = -2*l + 7. Let u be 1300/18 - (-6)/(-27). Let h = -15 + u. What is the remainder when h is divided by a(-4)?
12
Let n = 54 + -32. Calculate the remainder when (-32)/(-24)*(-129)/(-2) is divided by n.
20
Let i(a) = -a**3 + 6*a**2 + 10*a - 2. Let h = -110 + 256. Calculate the remainder when (0 - h)/((-20)/10) is divided by i(7).
16
Let j = 3 + -30. Let i be (3 + -2)/((-3)/45). Let x = i - j. Calculate the remainder when 45 is divided by x.
9
Suppose -7*f + 5*t + 37 = -6*f, -5*t + 73 = 4*f. Calculate the remainder when (-254)/(-3) - 6/9 is divided by f.
18
Suppose 2*r - 3*p = p + 36, -r - p = -6. Let k = 27 - -35. Suppose -5*d + 202 = k. What is the remainder when d is divided by r?
8
Suppose 2*z = 6*z - 128. Let g = -20 + z. Calculate the remainder when 34 is divided by g.
10
Let o = 21 - 20. Let y(l) = -18 - l**3 + 15*l**2 - 6 + 4*l - 4 - o. Calculate the remainder when y(15) is divided by 8.
7
Let a(s) = -7*s**2 + 2*s**3 + 11 + 2*s - 3*s**3 - 4*s. Calculate the remainder when a(-7) is divided by 15.
10
Let w = 32 - -57. Let m(d) = -d + 10. Let f be m(0). Let u(s) = -s**2 + 13*s - 7. What is the remainder when w is divided by u(f)?
20
Let l(m) = -11*m - 58. Calculate the remainder when l(-8) is divided by 4.
2
Suppose -2*c + 40 = -0*c. Let f be (-1)/(8/(-6) - -1). Suppose -5*k + 33 + 16 = -f*m, 0 = -2*k + m + c. What is the remainder when k is divided by 3?
2
Let p be (-2)/(2 - (-4 + 0 + 7)). Suppose 0 = -p*t + w + 44, 3*t - 71 = w - 2*w. Calculate the remainder when 41 is divided by t.
18
Let w(x) = 8*x**2 + 5*x + 1. Let c be w(-1). Suppose 3*v = 2 + 1, c*q - 14 = -2*v. What is the remainder when 7 is divided by q?
1
What is the remainder when (-372)/(-22) - (-16)/176 is divided by 12?
5
Let c(m) = 82*m**2 - 50*m + 176. Calculate the remainder when c(4) is divided by 86.
84
Let g be -1 + 1 + -4 - 209/(-1). Suppose -2*m - g = -5*y, -m = -3*y - 0*m + 124. Calculate the remainder when y is divided by 16.
11
Let a = 39 - 30. Let d be 172/10 - (-2)/(-10). Suppose -4*b + 3*k + 14 = -10, 3*b - 2*k - d = 0. What is the remainder when a is divided by b?
0
Let v(x) = -x**3 - 19*x**2 + x + 42. Calculate the remainder when (2 - 2) + 22*3 is divided by v(-19).
20
Let s be (-4)/(84/44 + -2). Suppose -5*n + n = s. Let d = -2 - n. Calculate the remainder when 43 is divided by d.
7
Suppose 11*o - 20*o = -1350. Calculate the remainder when o is divided by 27.
15
Suppose 5*b + r = 153, 3*b - 33 - 52 = -4*r. What is the remainder when 586 is divided by b?
28
Let c(s) = s**2 - 2*s + 2. Let i be c(2). Suppose i*x + 15 = 7*x. Suppose 2*z + 7 + 6 = x*l, -l + z = -4. What is the remainder when 8 is divided by l?
3
Let g(h) = 4*h + 21. Let f = 98 + -86. Calculate the remainder when g(f) is divided by 10.
9
Let b = 643 - 152. Calculate the remainder when b is divided by 38.
35
Suppose -13 = -3*y + 11. Suppose 6*t = y*t - 138. What is the remainder when t is divided by 8?
5
Let s(h) = -2*h + 59. Let m be s(7). Calculate the remainder when 87 is divided by m*(-6)/(-21)*(-7)/(-3).
27
Let y(v) be the third derivative of v**5/60 - 3*v**4/8 + 35*v**3/6 - 47*v**2. Calculate the remainder when 243 is divided by y(9).
33
Let y be (0 + 0 + 1 + 2)/1. Suppose w - 5*v = -3, -w - 2*v + 17 = -y*v. What is the remainder when 40 is divided by w?
18
Let x = -241 + 268. Suppose -11*z + 16*z - 80 = 0. Calculate the remainder when x is divided by z.
11
Suppose -28*f + 63*f - 140 = 31*f. Suppose 6*w + 70 = 5*m + w, 22 = m + w. Calculate the remainder when f is divided by m.
17
Let g(a) = -a**3 - a**2 - 34*a + 74. Calculate the remainder when 1626 is divided by g(0).
72
Let b = 12 + -8. Suppose b*n + 2*n - 72 = 0. What is the remainder when 33 is divided by n?
9
Suppose -3*j + 6*j + 3*n = 156, 4*j - 2*n = 178. Calculate the remainder when 234 is divided by j.
46
Let c = -3178 - -4472. What is the remainder when c is divided by 37?
36
Let i(p) = -3*p - 2. Let d be i(2). Let m = d + 10. What is the remainder when 7 is divided by m?
1
Let l(i) = 3*i + 22. Let o be l(-8). Let m(c) = -7*c**3 - 2*c**2 - 3*c - 8. Calculate the remainder when 178 is divided by m(o).
40
Suppose -2*y + z = -4*z - 208, 4*z - 472 = -4*y. Let i = 123 - y. Calculate the remainder when 61 is divided by i.
7
Suppose -44*a = -47*a + 69. Let t = 62 + a. What is the remainder when t is divided by 11?
8
Let m = 1701 + -1124. Calculate the remainder when m is divided by 53.
47
Let l be -2 - (-1 - -2) - -3. Let k be 37 - (0 - l/(-1)). Suppose -2*c + 17 = -k. What is the remainder when c is divided by 15?
12
Let z(y) = y**2 + 2*y + 3. Let c(s) = -s + 28. Calculate the remainder when z(4) is divided by c(14).
13
Suppose 3*t + 3*p - 516 = 0, 0 = 5*t - 0*p + 3*p - 866. Calculate the remainder when t is divided by 45.
40
Let x(m) = -3*m + 17. Let h be x(8). What is the remainder when 29 is divided by 6/(-42) + (-106)/h?
14
Let a = 5 + 1. Suppose 3*t + 7*t - 410 = 0. Suppose -t*c - 34 = -43*c. Calculate the remainder when c is divided by a.
5
Let r(o) = 6*o - 1. Suppose 4*n - 2 = 18. Calculate the remainder when 142 is divided by r(n).
26
Suppose 161 = 2*o + 61. Suppose m = 6*m - o. Calculate the remainder when 79 is divided by m.
9
Let k = 52 + -21. Let c = 31 + -27. Suppose -c*s - 3*z + 498 = -z, s + 2*z - 129 = 0. Calculate the remainder when s is divided by k.
30
Suppose 89*v - 137 + 18 = 237. Let l be (-200)/(-14) + 4/(-14). Let r = l - 2. Calculate the remainder when r is divided by v.
0
Let u(g) = 7 - 23*g + 9*g + 4. What is the remainder when u(-3) is divided by 28?
25
Suppose -27*a = -34*a + 1113. What is the remainder when a is divided by 18?
15
Let q be 4 + (-114)/(-21) - 3/7. What is the remainder when 143 is divided by (q/(-2))/((-9)/72)?
35
Let s = -1063 - -1132. Calculate the remainder when s is divided by 30.
9
What is the remainder when (2 - -1)/(-7 + 17795/2540) is divided by 51?
49
Let q(l) = -15*l - 1. Let o be q(-1). Suppose w = 3 + o. What is the remainder when 1 - (-1434)/22 - 54/297 is divided by w?
15
Let u(l) = 3*l**3 - 3*l**2 - 33*l + 105. Calculate the remainder when 157 is divided by u(3).
37
Let x = -2 + 5. Suppose -x*b - t = -2*t - 20, 4*t + 15 = -b. Suppose -200 = 2*q - 7*q - b*u, 2*u + 166 = 4*q. What is the remainder when q is divided by 11?
8
Suppose 5*v = -2*m + 49, -5*v + 67*m = 72*m - 70. Let j = -1 + 15. Calculate the remainder when j is divided by v.
0
Let m(d) = -4*d - 5. Suppose -5*c = 5*z - 235, 34*c + 23 = 35*c - 5*z. What is the remainder when c is divided by m(-4)?
10
Suppose 0*v + 3*v = -3*p + 93, 0 = 3*v - p - 113. Suppose 0*u - v = -4*u. Let x(j) = -j**3 + 16*j**2 + 25. What is the remainder when x(16) is divided by u?
7
Suppose 0*p = p - 14. What is the remainder when p is divided by 6*1 - (1 + -6 + 7)?
2
Suppose 4*b - 9 = -x, -4*b - x + 27 = -6*x. Suppose -2*a - 9 = -3*u + a, 13 = 4*u - b*a. Calculate the remainder when 18 is divided by u.
2
Let i(r) = -r**3 - 8*r**2 + 15*r - 25. Calculate the remainder when 522 is divided by i(-10).
22
Suppose 0 = -2*q + 27 - 7. Suppose -2*l + q = -7*l. What is the remainder when 33 is divided by l/(-10) - 767/(-65)?
9
Suppose -5*m + 916 - 277 = -y, 2*y + 135 = m. What is the remainder when m is divided by (3/2 - 3)/(9/(-156))?
23
Let q(i) = -i**3 + 4*i**2 + 5*i. Suppose -3*n = -3, -22 + 3 = -5*p + n. Let m be q(p). Let o = m + -5. What is the remainder when 28 is divided by o?
13
Let p be (2/(-3))/((-13)/78). Suppose a - x = 4*x + 58, 0 = p*a - 3*x - 147. What is the remainder when 56/2*21/6 is divided by a?
32
Suppose -x