
Let i(l) = l**3 + 6*l**2 + 5*l + 7. Let k be i(-5). Let u = k - -3. Calculate the remainder when 29 is divided by u.
9
Let z(i) = -i - 2. Calculate the remainder when z(-12) is divided by 7.
3
Let i be (-1)/(3/(-51*1)). Suppose -g - x + 53 = 0, -4*x = -g - i + 50. Suppose c + 5 = -5*m + 92, c = 3*m - g. Calculate the remainder when m is divided by 5.
2
Suppose -20 = -3*v - 2*v. Suppose -1 - 163 = -v*a. Calculate the remainder when a is divided by 11.
8
Let r(p) = 22*p**3 + p**2 - p + 1. Suppose -y = -3*b + 200, 4*b = -3*y + 2*y + 276. Calculate the remainder when b is divided by r(1).
22
What is the remainder when ((-87)/5)/((-1)/5) is divided by 18?
15
Suppose -36*n - 45 = -39*n. What is the remainder when 104 is divided by n?
14
Suppose 5*y = 2 + 13. Suppose y*q - 30 - 9 = 0. Calculate the remainder when 24 is divided by q.
11
Suppose n + n - 34 = 0. What is the remainder when (-707)/(-21) + 2/(-3) is divided by n?
16
Let o = 8 - -11. Let c = o + -1. Calculate the remainder when 88 is divided by c.
16
Suppose 0 = -3*f + l + 148, 0 = 5*f + 8*l - 11*l - 248. What is the remainder when f is divided by 9?
4
Let i = -51 + 68. What is the remainder when i is divided by 9?
8
Let z = 38 - 27. What is the remainder when 53 is divided by z?
9
Let t = 9 + -6. Let r = 1 - -1. Suppose 20 = 2*v + r*v. Calculate the remainder when v is divided by t.
2
Suppose 0*k - k = 3*u - 10, 2*u - 8 = 0. Let z be k/(-1) - 0/2. Suppose -4*q - 5*a = -a - 44, 3*a = z*q - 27. Calculate the remainder when 22 is divided by q.
10
Suppose -26 = -5*h + 4. Suppose 5*b = -3*g + 2 + h, -10 = -2*g - b. What is the remainder when 11 is divided by g?
5
Suppose 0 = z - 2*z - 4. What is the remainder when 9 is divided by 6/z*(-8)/3?
1
What is the remainder when 89 is divided by (-1 + 3 - 25)/(3 + -4)?
20
Let v = -1 + 0. Let i be 40/(-3)*3/v. Suppose -2*l = 2*l - i. Calculate the remainder when 29 is divided by l.
9
Let o(t) = 29*t**3 - 2*t**2 + 1. Let c(x) = x + 7. Let a be c(-6). Calculate the remainder when o(a) is divided by 10.
8
Let w(q) = 8*q - 2. Let s(o) = 7*o - 1. Let g(p) = 5*s(p) - 4*w(p). Calculate the remainder when g(6) is divided by (-68)/(-6) - (-8)/12.
9
Let f(j) = 2*j - 6. Suppose 4*t + 2 - 10 = 0. Calculate the remainder when f(6) is divided by t.
0
Suppose -4*v = -2*o + 48, -3*v - 36 = -2*o - 3*o. Let y = 17 + v. Suppose -2*g - y = -t, t + 5*g - 40 = -4*t. Calculate the remainder when 12 is divided by t.
5
Suppose 3*m + 84 = 5*o, 5*m - 45 = -5*o + 55. What is the remainder when 89 is divided by o?
17
Suppose 26 = 3*b - 1. Suppose -5*o + 16 + 4 = 0. Suppose -y - y = -o*l - 54, y - 22 = -3*l. What is the remainder when y is divided by b?
7
Let a(h) = h**3 + 4*h**2 + h - 1. Suppose 16 = 2*x + 8. What is the remainder when a(-3) is divided by x?
1
Suppose -5 = 4*s + 4*v - 117, -2*s - 4*v = -56. What is the remainder when 81 is divided by s?
25
Let p = 46 + 159. Suppose -4*m = m - p. What is the remainder when m is divided by 11?
8
Let z = 16 - 19. Let l = 1 - z. Calculate the remainder when 6 is divided by l.
2
Suppose 0 = -8*m + 9*m - 46. What is the remainder when m is divided by 25?
21
Let k = 301 - 254. What is the remainder when k is divided by 24*(0 + 0 + 1)?
23
Let m(v) = 3*v**3 - v**2 - v + 11. Let z(c) = -4*c**3 + c**2 + c - 12. Let t(u) = 3*m(u) + 2*z(u). What is the remainder when t(0) is divided by 6?
3
Let r be 23/(-1 - 12/(-10)). Suppose -4*f + r = -5. Suppose -3*i + j + 17 = -0*j, -5*i + 2*j + f = 0. What is the remainder when i is divided by 2?
0
Let k(w) be the third derivative of -5*w**4/12 + w**3/2 + 2*w**2. Calculate the remainder when k(-4) is divided by 11.
10
Suppose -y + 2 + 22 = c, -3*y - c + 62 = 0. What is the remainder when 92 is divided by y?
16
Let s(g) = -g + 3. Let f be s(10). Calculate the remainder when 27 is divided by f/(0 - (-3)/(-6)).
13
What is the remainder when 139 is divided by ((-12)/(-8))/(-1)*(-140)/6?
34
Let q be (18/(-4))/((-3)/(-6)). Let l = 19 - q. What is the remainder when l is divided by 15?
13
Let g(a) = a**3 + 15*a**2 + 3. Let s(x) = x**2 - x + 2. Calculate the remainder when s(3) is divided by g(-15).
2
Let n = -35 - -49. Let p = -7 + n. Suppose -s + 1 + 3 = 0. What is the remainder when p is divided by s?
3
Let i(u) = u + 9. Let c be i(-6). Suppose -c*w = -43 + 10. Let y = -56 + 88. What is the remainder when y is divided by w?
10
Suppose 4*z - 6*v + v + 3 = 0, 0 = -z + v. Suppose 0*l - 2*x - 14 = -3*l, l - z = x. Calculate the remainder when 29 is divided by l.
5
Suppose -13*x + 24 = -5*x. Suppose 4*o = b - 0*b - 3, -2*b + 9 = -5*o. What is the remainder when b is divided by x?
1
Suppose 0 = z - 3*k - 45 + 4, 0 = 3*k. Let i(a) = 11*a - 1. Calculate the remainder when z is divided by i(2).
20
Suppose -u = -4*u - 4*o + 93, -u - 2*o + 31 = 0. What is the remainder when u is divided by 11?
9
Suppose 0 = 6*s - 2*s. Suppose s = 4*t + 6 + 6. What is the remainder when 31 is divided by 11/(-2)*(t + 1)?
9
Let a(y) = -27*y**3 + y**2 - 1. Suppose 0 = 5*p - 5*j, -p - 3*j = 3*p + 7. Calculate the remainder when a(p) is divided by 14.
13
Suppose -4*l = -12 - 8. Calculate the remainder when (-1 + -37)*((-132)/(-24))/(-11) is divided by l.
4
Let f = 44 + -18. Calculate the remainder when 102 is divided by f.
24
Let r = 25 + -15. Suppose 3*k - 5*i - 3 = -i, 0 = -k - 2*i + 1. What is the remainder when r + (2/(-2) - k) is divided by 5?
3
Suppose -2*d + k + 15 = 0, -7*k - 25 = -2*d - 4*k. Suppose 4*u = s + 35, 0*s + 4*s = -d*u + 28. What is the remainder when u is divided by 5?
3
Suppose b + 4*b = 20. What is the remainder when 13 is divided by b?
1
Let w = 12 + 13. Let q(j) = -j**3 - 5*j**2 + 5*j + 1. What is the remainder when w is divided by q(-6)?
4
Let q(z) = 3*z - 21. What is the remainder when q(17) is divided by 12?
6
Let w be (-10)/3 + 2/(-3). Let p(t) = -6*t - 1. Let n be p(w). Let q = n + -6. What is the remainder when q is divided by 6?
5
Suppose 7*a = 3*a + 8. Suppose 2*m - a*t = 6*m - 124, 0 = 5*m + 2*t - 157. What is the remainder when m is divided by 9?
6
Let t be (-12 - -13) + -4 + 1. What is the remainder when 17 is divided by (1 - -1)/(t/(-4))?
1
Suppose -5*k = 3*j + 4 - 257, 174 = 2*j + 2*k. Let o(h) = 2*h**2 - 7*h - 7. What is the remainder when j is divided by o(6)?
22
Let h(b) = -9*b + 4*b + 4*b**2 - 3*b**2 - 7 + b. What is the remainder when 41 is divided by h(7)?
13
What is the remainder when 16 is divided by 6*(0 - 4)/(-4)?
4
Suppose 4*i - 17 = 147. Let s = 45 + -31. What is the remainder when i is divided by s?
13
Let x(r) = -32*r**3 - 2*r - 1. What is the remainder when 64 is divided by x(-1)?
31
Let o = 34 + -31. What is the remainder when o is divided by 2?
1
Let h(c) = -c**3 - 7*c**2 + 8*c - 6. Let u be h(-8). What is the remainder when (9/u)/(6/(-88)) is divided by 6?
4
Let z(l) = l**2 + 2*l + 2. Let c be z(-3). Suppose -5*v = -c, -3*h = -v + 5*v - 175. Calculate the remainder when h is divided by 15.
12
Let d = -32 - -64. Suppose 2*o + 5 = 3*v, 3*o - v - 3 = -0*v. Suppose 3*y + m - 32 = 0, 4*m = 2*m - o. What is the remainder when d is divided by y?
10
Suppose -4*r + 4 + 4 = 0, -3*v + 190 = -4*r. What is the remainder when v is divided by 102/(-3)*(-1)/2?
15
Let i = 22 - 31. Let g(m) = -2*m - 4. Let u(n) = 2*n**2 - 3*n - 1. What is the remainder when u(-3) is divided by g(i)?
12
What is the remainder when 28 is divided by (40/(-15))/(-1)*6?
12
Let q(u) = -2*u**3 - 4*u**2 + 2*u + 3. Let a = 8 + -12. What is the remainder when q(a) is divided by 15?
14
What is the remainder when 341 is divided by ((-1274)/39)/(4/(-6))?
47
Suppose -4*l = 2*u - 132, 2*l = 3*u + 39 + 43. What is the remainder when l is divided by 19?
16
Let g(q) = -21*q**3 + q**2 + q + 1. What is the remainder when g(-1) is divided by 7?
1
Let a(d) be the third derivative of d**3 - 2*d**2 + 0 + 0*d - 1/60*d**5 - 1/4*d**4. Calculate the remainder when a(-5) is divided by 6.
5
Suppose y - 3 = -2*y. Let r = 3 + -5. What is the remainder when (-4 - -3)*-3 + r is divided by y?
0
Let b(g) = -14*g - 3. Calculate the remainder when 43 is divided by b(-1).
10
Suppose -2*b = -7*b. Suppose b = -2*s + 16 - 6, -3*s + 28 = p. Suppose -p - 3 = -v. What is the remainder when 46 is divided by v?
14
Let c = -12 + 21. Let v = -1 + c. Calculate the rem