0 = -2*l + 5*x + 26, l - 14 = -l + 2*x. Let n = 653 + -615. Suppose 0 = l*p - 13 - n. Calculate the remainder when p is divided by 6.
5
Suppose -14*c + 520 = 12*c. What is the remainder when 939 is divided by c?
19
Suppose -2*q = 3*t - 145, -3*t = -0*t - 3*q - 150. Let y(u) = -u**3 - 10*u**2 + 10*u + 4. Calculate the remainder when t is divided by y(-11).
4
Let t(p) = p**3 + 6*p**2 - 19*p - 17. Let q be t(-8). Suppose 2*s - 33 = -q. What is the remainder when s is divided by 5?
3
Suppose -2*u - 3*y = -1018, 9 = 4*y + 17. What is the remainder when u is divided by 12?
8
Let z = 519 - 500. What is the remainder when 94 is divided by z?
18
What is the remainder when (-1)/(-9) + 50508/324 is divided by 16?
12
Calculate the remainder when ((-78)/(-7))/(33/4158) is divided by 44.
40
Let i(a) = a**2 + 14*a + 6. Let d(c) = c**2 + 14*c + 6. Let o(h) = -3*d(h) + 2*i(h). Calculate the remainder when 81 is divided by o(-7).
38
Suppose -5*k + 28 = -i, 5*k - 6*i - 22 = -7*i. Suppose -k*b + 4*b + 2*x = -61, 0 = 5*b - x - 341. Calculate the remainder when b is divided by 19.
12
Suppose 0 = -3*s - 5*j + 624, -400 = -2*s - 130*j + 132*j. Calculate the remainder when s is divided by 53.
44
Let z = 38 - 19. Suppose -l = -7*l + 72. What is the remainder when z is divided by l?
7
What is the remainder when -5 - 8368/(-12) - 20/15 is divided by 99?
97
Let t = 34 + -20. Suppose -212*q + 3875 = -2220 - 1961. Calculate the remainder when q is divided by t.
10
Let n(x) = 4*x - x - 8 - 1 + x. Suppose 4*r = 16 + 84. What is the remainder when r is divided by n(4)?
4
Let p(f) = -34*f - 55. Let a = 111 - 116. What is the remainder when p(a) is divided by 9?
7
Calculate the remainder when 959 is divided by (4968/16)/27 - (-1)/2.
11
Let c(m) = 7*m - 6. Suppose -3*a = -4*a + 10. Calculate the remainder when ((-6)/a)/(6/(-570)) is divided by c(3).
12
Let v = 2622 + -2607. Suppose -5*p - 3*w = -30, 3*p - w - w - 37 = 0. What is the remainder when v is divided by (-2)/p - (-148)/18?
7
Let x be ((-12)/(-9))/(3/(-81)). Let i = x - -47. Suppose 13 = b - 2*v, -v - 45 = -3*b + 3*v. What is the remainder when b is divided by i?
8
Let g(z) = 5*z**2 + 7*z + 16. What is the remainder when g(-4) is divided by 32?
4
Suppose -5*c = -732 + 242. Let x = 51 + -26. Calculate the remainder when c is divided by x.
23
Let r(x) = 5*x - 3. Let j be r(1). Let t be (0/3)/(0 + j). Suppose t = y - 24 - 1. What is the remainder when 49 is divided by y?
24
Suppose 5*m + 0 + 20 = 0, 0 = q + m - 2. Calculate the remainder when (3 - 1)/((-8)/(-68)) is divided by q.
5
Let y(q) = 9*q - 16. Let x be y(-8). Let m be (x/(-6))/((-14)/(-21)). Let a = m - -9. What is the remainder when 123 is divided by a?
30
Suppose -2*w + 15 + 31 = 2*d, -5*d = -w - 1. Let l = w - 2. Let h = l + -10. Calculate the remainder when 13 is divided by h.
6
Suppose -4*u + 65 = -3*f, 11*f - 10*f = 4*u - 59. Suppose 0 = -5*p + 4*n + 769, -3*n + 5*n + 614 = 4*p. What is the remainder when p is divided by u?
13
Suppose 12 = q + 5*g + 32, -2*g = -q + 15. Suppose 5*i = -2*z - 11, 4*i + i + q*z + 5 = 0. Let f(w) = -4*w + 4. What is the remainder when f(i) is divided by 9?
7
Let w = 18 + -7. Suppose 0 = -37*c + 1028 - 20 + 398. Calculate the remainder when c is divided by w.
5
Suppose -14*d = -132 - 148. What is the remainder when 158 is divided by d?
18
Let g = 969 - 849. What is the remainder when g is divided by 61?
59
Let l be 4/(-2)*(-1 - 1). Suppose -l*c + 3 = -c. Let z = -2 + 4. Calculate the remainder when z is divided by c.
0
Suppose -2*l = -0*l - 54. Let c(o) = -o**3 - 11*o**2 + 21*o - 13. Calculate the remainder when c(-13) is divided by l.
25
Suppose -15 = 5*c, -3*c + 5*c - 56 = -f. Let z = -4668 + 4685. Calculate the remainder when f is divided by z.
11
What is the remainder when 35 is divided by (-30)/(-3 - -8)*(-5)/3?
5
Let t be 40/(-25)*(9/6 + 1). What is the remainder when (28/(-6))/(1/(6/t)) is divided by 3?
1
Let z(r) = 3*r**2 - r - 2. Calculate the remainder when (12/16)/(5/120) - 3 is divided by z(2).
7
Suppose -2*j + 2*a + 48 = -10, 4*j - 119 = a. Calculate the remainder when ((-15)/j)/(1/(-132)) is divided by (-4)/12 - (-104)/6.
15
Suppose 107 = 4*z + n, 5*n - 4*n + 33 = z. Let v = z + -11. Let h = -258 - -325. Calculate the remainder when h is divided by v.
16
Let g = -37 + 123. Let r = 163 - g. Calculate the remainder when r is divided by 10.
7
Let o(a) = -2*a**2 - 27*a - 36. Let t be o(-12). Suppose 3 + t = -3*d, 0 = -4*u + 5*d + 25. Calculate the remainder when 28 is divided by u.
3
Suppose -2*p + 53 = p - 5*h, 5*p - 2*h - 63 = 0. What is the remainder when 140 is divided by p?
8
Suppose -2*g + 134 - 46 = 0. Let w = g + -26. Let f = -677 + 682. What is the remainder when w is divided by f?
3
Suppose -2*c = q - 20, 4*c + 8 = -0*c. Suppose 0 = 4*d + 2*u + 456, -4*d = 6*u - u + 468. Let k = -67 - d. Calculate the remainder when k is divided by q.
21
Suppose 0 = 56*j - 54*j - 16. Suppose 4*u + 12 = j*u. What is the remainder when u is divided by 3?
0
Suppose 0*j + 3*t = -j, -2*t = 6. Suppose -5*y - 4*z = -5, -j*y + 6*y + 40 = -5*z. Calculate the remainder when y is divided by 3.
2
Suppose 4*x = 2*d + 890, 4*d = -0*x + 3*x - 670. What is the remainder when x is divided by 32?
30
Suppose 18*a = 17*a + 32. Let d(r) = -r + 16. Let f be d(16). Suppose -2*y + 27 + 97 = f. What is the remainder when y is divided by a?
30
Let w(y) be the third derivative of y**4/24 - y**3/3 + y**2. Suppose 3 - 18 = -5*v. What is the remainder when 1 is divided by w(v)?
0
Calculate the remainder when (-10 - -11)*-7 - -78 is divided by 15.
11
Suppose 0*k = -3*k + 45. Suppose -j + 40 + k = 0. What is the remainder when j is divided by 28?
27
Let p = -37 + 45. What is the remainder when 62 is divided by p?
6
Suppose -84*q = -85*q + 2*l + 282, q - 3*l = 280. What is the remainder when q is divided by 8?
6
Let x(j) = 17*j**2 + j - 1. Calculate the remainder when 203 is divided by x(1).
16
Suppose 0 = -83*t + 73*t + 450. What is the remainder when 2024 is divided by t?
44
Suppose 2*f = f + 75. Let y(m) = 2*m + 26. Suppose -2*u + 4*n - 4 = 0, -2*n + 1 + 1 = 2*u. What is the remainder when f is divided by y(u)?
23
Let x(g) = 3*g**2 - 29*g + 49. Calculate the remainder when 40 is divided by x(8).
4
Let x = 294 - 287. Calculate the remainder when x is divided by (-2)/((-65)/15 + 4).
1
What is the remainder when (-94)/517 - 1421/(-11) is divided by 9?
3
Let j(c) = c**3 - 5*c**2 - 2*c - 1. Let b be j(5). Calculate the remainder when 72 is divided by b + 10 + (-76)/(-2).
35
What is the remainder when 155 is divided by (-10 + 11)*-1 + 29?
15
What is the remainder when 196 is divided by 49 + (3 + -5)/(-1)?
43
Suppose t + 15 + 10 = 0. Let a = -15 - t. Calculate the remainder when a is divided by 4.
2
Let y = 649 - 603. What is the remainder when 413 is divided by y?
45
Suppose -4*k = -2*x + 140, 0 = 3*x - x - 3*k - 135. What is the remainder when 93 is divided by x?
33
Let o(x) = 2*x - 44. Let g be o(6). Let z = 75 + g. What is the remainder when 169 is divided by z?
40
Suppose 63 = q - 2*j, 5*q + 5*j - 180 = 60. Let o(v) = -47*v**2 - 2 + 0*v**3 + 6*v - v**3 + q*v**2. Calculate the remainder when o(6) is divided by 19.
15
Let g = 6 - -7. Let q(p) = -12*p + 41. Calculate the remainder when q(-3) is divided by g.
12
Let f = -69 + 85. Suppose 0 = -f*b + 9*b + 280. Calculate the remainder when b is divided by 16.
8
Let y = 349 - 309. What is the remainder when y is divided by 21?
19
Suppose -4*h + 560 = h. Suppose 0 = 5*v - 18 - h. What is the remainder when 75 is divided by v?
23
Let z be 6 + -3 + -1 + 1. Suppose 0 = 5*w - z*v - 240, -3*v = -4*w - 8*v + 229. Calculate the remainder when w is divided by 18.
15
Let c(t) be the first derivative of 3*t**2 - 3*t - 2. Let a(r) = 2*r. What is the remainder when c(6) is divided by a(6)?
9
Let f(c) = -9*c - 71. Let s be f(-4). Let a = 70 + -109. Let h = s - a. Calculate the remainder when 27 is divided by h.
3
Let v(c) = 11*c - 29. Calculate the remainder when 1234 is divided by v(12).
101
Suppose -132*k = -142*k + 3390. What is the remainder when k is divided by 5?
4
Suppose -2*g + 2*c = 2*g + 190, -199 = 4*g - 5*c. Let d = g + 78. Suppose -y - 4*h = -38, y - 2 = 2*y - 4*h. Calculate the remainder when d is divided by y.
