4 = 4*u. Calculate the remainder when r is divided by 40.
36
Suppose 5*i - 54*a - 584 = -52*a, 2*a = 3*i - 348. What is the remainder when i is divided by 45?
28
Suppose -5*w + 0*c + 10 = -c, 0 = 5*w + 3*c - 30. Calculate the remainder when 49 is divided by (-1)/(-3 + w + 1/(-17)).
15
Let r(p) = p**3 + 2*p**2 - 7*p + 1. Let z be r(-4). Suppose s - 2 = -0, -4*s = -2*m + 36. Calculate the remainder when 97 is divided by m - (z + 0/(-4)).
22
Let c(n) = -3*n + 47. Let t(q) = -6*q + 6. What is the remainder when t(-3) is divided by c(11)?
10
Suppose -u + 3 = 4*i, -5*u + 2*i + 2*i + 87 = 0. Let b = u + 44. What is the remainder when b is divided by 16?
11
Let f(q) = -35 - 17 + 27 - 3*q. What is the remainder when 169 is divided by f(-14)?
16
Suppose 2*a - 3*b + 9 = -2*b, -3*b + 11 = -2*a. Let f be (-114)/8 - 1/a. What is the remainder when (-31)/2*(f - -12) is divided by 17?
14
Suppose 4*f - 365 = -3*l, 5*f - 332 - 107 = 2*l. Let y = f - 50. Calculate the remainder when y is divided by 15.
9
Let f(k) = -2*k - 20. Let y be f(-14). Let w(b) = b**3 - 9*b**2 + 8*b + 6. Let d(t) = -22*t**3 + t**2 - 1. What is the remainder when d(-1) is divided by w(y)?
4
Suppose 3*v - c - 1773 = -2*c, -3*v + c + 1773 = 0. Calculate the remainder when v is divided by 85.
81
Let u = 1 + -1. Suppose u = 5*c - 305. Calculate the remainder when c is divided by 3/(-5) - ((168/(-5) - -11) + 6).
13
Let q = -227 + 357. What is the remainder when q is divided by 15?
10
Let s be ((-9)/(-15))/(1/30). Suppose -2*x = 5*z + 2*x - 68, -x - 3 = 0. Suppose -z*f = -s*f + 2. What is the remainder when 4 is divided by f?
0
Let o be (2/(-6))/((-1)/54). Suppose -o*v + 16*v = -36. Suppose 0 = t - v - 4. What is the remainder when t is divided by 8?
6
Let u(j) = -2*j. Let q be u(-1). Suppose -1 = -q*y + 3*y. Calculate the remainder when (y - -2)/(3/57) is divided by 5.
4
Let a(q) = 2*q + 37. Calculate the remainder when 178 is divided by a(-11).
13
Let n(i) = -i + 24. Let x = 3 - 3. Suppose -23*g - 468 + 3152 = 38*g. Calculate the remainder when g is divided by n(x).
20
Let d = -2 + 69. Suppose -22*g + 21*g + d = 0. What is the remainder when g is divided by 14?
11
Let s(m) = m**3 - 3*m**2 - 6*m + 14. Suppose 0 = 5*r + 5*u - 20, 4*u = -4*r + 2*u + 16. Calculate the remainder when 27 is divided by s(r).
3
Let j(i) = -1 - 3*i - 6*i - i**3 - 29 + 6*i - 14*i**2. What is the remainder when 34 is divided by j(-14)?
10
Suppose -5*u = z - 71 - 58, 5*z = -5. Calculate the remainder when 775/15 + ((-15)/9 - -1) is divided by u.
25
Let x be -2*(2/4 - 0). Let r(g) = g**2 - 3*g - 7. Calculate the remainder when 9/1 + x + 0 is divided by r(5).
2
Let m be (84/(-16))/(2*(-2)/64). Suppose -43 - m = -y. What is the remainder when y is divided by 32?
31
Suppose 0 = -4*t + 6*t - 16. Suppose -3*u = 3*h, 8*h - 4*u = 6*h + 18. What is the remainder when t is divided by h?
2
Suppose -1147 + 967 = -10*m. Calculate the remainder when 37 is divided by m.
1
Let w be 2 - (-82 - 9/3). Suppose w - 7 = 5*q. Let z(a) = 8*a**3 + a**2. What is the remainder when q is divided by z(1)?
7
Let l(y) = -9 + 0*y**2 + 0*y - 8*y + 3*y**2. Calculate the remainder when l(6) is divided by 13.
12
Let f(w) = -w**3 + 7*w**2 - 12*w + 16. Let i be f(7). Let u = -49 - i. What is the remainder when u is divided by 10?
9
Suppose -8*m - 830 = -18*m. Let p = 149 - m. What is the remainder when p is divided by 14?
10
Suppose 0 = -0*y + 3*y - 6, -4*m + 252 = 4*y. Calculate the remainder when m is divided by 7.
5
Suppose -9*p = -4*p - 205. What is the remainder when p is divided by 9?
5
Let t = 545 + -518. Calculate the remainder when 323 is divided by t.
26
Let v(i) be the first derivative of -4*i**2 - 30*i + 34. Calculate the remainder when 100 is divided by v(-7).
22
Suppose -3*t + 5*w + 90 + 32 = 0, 5*w - 123 = -2*t. Suppose -4*z - z + 140 = 0. Let k = z - 11. What is the remainder when t is divided by k?
15
Let g be (11 + -2)*(-4)/(-12). Suppose -2*r - 55 = -g*c, -r = -5*c - 5*r + 121. What is the remainder when c is divided by 11?
10
Let g(q) = -q**3 + 3*q**2 + 11*q + 2. Let l(x) = x**3 - 3*x**2 - 10*x - 2. Let n(v) = 5*g(v) + 6*l(v). Calculate the remainder when n(5) is divided by 8.
7
Let h(r) = 26*r + 53. What is the remainder when h(2) is divided by 41?
23
Let h = 98 - 58. Let d be (-554)/(-18) - 2/(-9). Suppose 19 = 5*u - j - h, d = u - 5*j. Calculate the remainder when 32 is divided by u.
10
Suppose 0 = -5*x - 10, -8*r + 11*r - 86 = x. What is the remainder when 31 is divided by r?
3
Suppose 7*a - 4*a - 3 = 0. Let o(s) = -2 + 5 + a - 1 + 3*s**2 - 2*s. Calculate the remainder when o(2) is divided by 3.
2
Suppose -13*d = -97 + 19. What is the remainder when (-721)/(-5) - (d/30)/1 is divided by 49?
46
Suppose -691 - 354 = 5*z. Let i = -119 - z. Calculate the remainder when i is divided by 23.
21
Suppose -2*s - s + 51 = 0. Let n(z) = 3*z**3 + 2*z**2 - 1. Let b be n(1). Suppose b*u = 10*u - 492. Calculate the remainder when u is divided by s.
14
Let q(x) = x**2 + 13*x + 29. Suppose 2*a + 33 = 3*s, 5*s + 9 = -3*a - 12. What is the remainder when 32 is divided by q(a)?
15
Calculate the remainder when 247 is divided by 723/30 - (0 + 7/70).
7
Suppose 14*q - 10 = 9*q. Suppose a + q = -0*a. Let m(c) = c**2 - 4*c - 3. Calculate the remainder when m(a) is divided by 6.
3
Suppose -37*q = -3457 + 1237. What is the remainder when q is divided by 31?
29
Let r be (-208)/(-36) - (-2)/9. Suppose -z = -r*z + 35. Calculate the remainder when 34 is divided by z.
6
Let m = 2215 + -421. What is the remainder when m is divided by 5?
4
Suppose 0 = -6*x + 9*x + 402. Calculate the remainder when x*((-7)/35)/((-2)/(-5)) is divided by 24.
19
Suppose 0 = -3*u + 2*u + 5. Let c(r) = -4*r + 13 - 29 - 14. What is the remainder when c(-11) is divided by u?
4
Suppose -s = -0*s - 11. Suppose 117*g = 111*g + 432. What is the remainder when g is divided by s?
6
Suppose -4*v = 4*h - 180, 5*v + 33 = h - 0*h. What is the remainder when h is divided by 17?
9
Let l(c) = c**3 - 5*c**2 + 24*c - 41. Calculate the remainder when 387 is divided by l(5).
71
Let x(p) = p**3 - 4*p**2 - 9*p + 4. Suppose 5*f + 33 = 3*s, 3*s - 2*s + 2*f = 0. What is the remainder when x(6) is divided by s?
4
Suppose -4*x = -2*z + 66, 2*x = -2*z + 80 + 4. Let w = -22 - -36. Suppose b = 2*b - w. Calculate the remainder when z is divided by b.
11
Suppose -5*j - 70 = -5*g, -19*j = 4*g - 20*j - 47. Suppose -82 = -4*v + q - 3*q, v - 24 = -4*q. Calculate the remainder when v is divided by g.
9
Let o = 825 - 655. Calculate the remainder when o is divided by 5.
0
What is the remainder when 232 is divided by (-18 + 16)/((-4)/94)?
44
Let y(z) = 6*z - 109. What is the remainder when y(29) is divided by 19?
8
Let s(g) = 16*g + 6. Let x = 9 + 8. Suppose x + 4 = 3*l. What is the remainder when s(l) is divided by 30?
28
Let c = -1 - -5. Suppose -d = c*d - 10. Suppose d*g = -g + s + 202, g - 46 = -5*s. Calculate the remainder when g is divided by 17.
15
What is the remainder when 132 is divided by (6/(-8))/(13 + (-7497)/576)?
36
Let f(d) = d**2 - 6. Let n be f(3). Suppose 179 = n*q - 280. Suppose 4*b - b - q = 0. Calculate the remainder when b is divided by 13.
12
Let a(h) be the first derivative of -33*h**2/2 - 25*h + 13. Calculate the remainder when a(-10) is divided by 22.
19
Let z = -320 - -333. Calculate the remainder when 115 is divided by z.
11
Suppose 46*k - 5*k = 205. What is the remainder when 25 is divided by k?
0
Suppose 3*i - 3 = 0, 4*h - 20*i - 103 = -19*i. Let b = -174 - -300. What is the remainder when b is divided by h?
22
Let f(l) = 3*l**2 - 12*l + 1. What is the remainder when f(9) is divided by 14?
10
Let q be 3/(-2)*(-6346)/(-57). Let u = q - -236. What is the remainder when u is divided by 36?
33
Let a be 21/2 - -4*(-9)/24. Suppose a*m - 452 = 151. What is the remainder when m is divided by 19?
10
Let a(i) = -i + 23. Let n be a(13). Let x(h) = -h + 15 + 5 + 12 + n. What is the remainder when 97 is divided by x(17)?
22
Let c = -299 - -306. What is the remainder when (3/(-1))/(1/(-11)) is divided by c?
5
Let u(t) = -t**3 - 37*t**2 - 107*t + 101. What is the remainder when u(-34) is divided by 21?
19
Suppose 2*w - b - 4*b - 8 = 0, -4*w + b = -52. Calculate the remainder when (((-10240)/(-112))/(-8))/(2/(-7)