0. Suppose p - z - 9 = 0. What is the remainder when p is divided by 8?
7
Let y be 62/6 - 3/9. Suppose -5*q + 28 = 4*p, p = 5*q - 2*q - y. Suppose -4*l + 44 = -2*u, -p*u = 2*u. What is the remainder when l is divided by 4?
3
Let m(p) = p**3 + 10*p**2 + 18*p + 18. Let j be m(-8). Suppose j*c = 58 + 24. What is the remainder when c is divided by 6?
5
Let u = 33 + -46. Calculate the remainder when 151 is divided by 13/u - (-27 + 0).
21
Suppose 37*x - 34 = 336. Calculate the remainder when 509 is divided by x.
9
Let k(b) = -b**3 - 10*b**2 - 4*b - 9. Let y(c) = c**3 + 9*c**2 + 7*c - 5. Let h be y(-8). Calculate the remainder when k(-10) is divided by h/(-6) - 115/(-10).
9
Let l(q) = 13*q**2 + 3*q - 23. Calculate the remainder when l(5) is divided by 40.
37
Let h be -18*(-3)/12*12. Suppose -h = -4*p - 3*f, -p = -4*f - 0 - 4. What is the remainder when 44 is divided by p?
8
Suppose q - 3*q = -64. Suppose 33*j - 28*j + 4*n - 56 = 0, -3*j + 33 = 3*n. Calculate the remainder when q is divided by j.
8
Suppose 3*p - p - 5*r + 10 = 0, -3*p + 3*r + 3 = 0. Suppose -d - s + 27 = 0, s = -p*d - 2*s + 135. What is the remainder when d is divided by 0 - (1*-17 - -2)?
12
Suppose 5*i + q - 415 = 0, 0 = 2*i - 5*q - 151 - 15. What is the remainder when i is divided by 42?
41
Let u(p) = -6*p**3 - 14*p**2 - 5*p + 7. What is the remainder when u(-4) is divided by 130?
57
Let j(i) = i**3 - 10*i**2 + 8*i + 16. Let u be j(9). Suppose 26 = 2*b - 30. Calculate the remainder when b is divided by u/(63/(-6))*(-30)/4.
3
Suppose -5*l + 17 = 2*n, 46*n + 3 = 2*l + 43*n. Suppose w = -0 - 2. Let i = 1 - w. Calculate the remainder when l is divided by i.
0
Let p be 52/6 + 2/(-3). Let x(d) = d + 11. Let a(n) = n**3 + n + 11. Calculate the remainder when x(p) is divided by a(0).
8
Suppose 4*w + w + 3*u = 16, 0 = 4*w + 4*u - 8. Suppose -595 = -w*p - 2*p. Calculate the remainder when p is divided by 11.
8
Suppose 628 = 3*a - l, 0*a - 220 = -a + 3*l. Calculate the remainder when 223 is divided by a.
15
Suppose 2*l - 306 = -4*w, 2*w + 2*l - 69 = w. Suppose -2*z + 3*h + w = -285, 4*z - 696 = -2*h. Calculate the remainder when z is divided by 45.
41
Let l = 60 + -62. What is the remainder when l + 3 - -49*1 is divided by 11?
6
Let m = 0 - -3. Let w(l) = -l**2 + 4*l. Let s be w(m). Suppose -5*g + s*g = -64. Calculate the remainder when g is divided by 11.
10
What is the remainder when 4/(5 - 13)*-12 is divided by 5?
1
Suppose 5*h + 120 = -i, h - 2*i + 5 = -30. Calculate the remainder when 124/10 - 1*15/h is divided by 4/(1*-2)*-2.
1
Let q = 5519 - 5513. Suppose 4*r + i = 51, 49 = 5*r + 2*i - 14. Calculate the remainder when r is divided by q.
1
Let j be (24/3 - (-4)/(-1)) + -1. Suppose 0 = -j*l + 12 + 15. What is the remainder when 42 is divided by l?
6
Let r(o) = 6*o**2 - 4*o - 5. Let g be r(6). Suppose 5*z = -22 + g. Suppose 4*b + z = 7*b. Calculate the remainder when b is divided by 6.
5
Let q be 1 - 0 - (-2 - 0/5). What is the remainder when ((-449)/q)/(-1) - (-2)/6 is divided by 39?
33
What is the remainder when 100 is divided by (-204)/20*(-10 - -5)?
49
Let k = 29 + -25. Suppose 0 = o - 4*o - k*r + 20, -2*o + 14 = 2*r. Calculate the remainder when (114/o)/((-1)/(-4)) is divided by 20.
17
Suppose 2*v + 0*v - 22 = 0. Let x(f) = -f + 1. Let z(m) = 3*m - 6. Let d(j) = -2*x(j) + z(j). Calculate the remainder when d(8) is divided by v.
10
Suppose -6*n = -2*n - 32. Let o = 64 - 8. Suppose o + 18 = 2*f. Calculate the remainder when f is divided by n.
5
Suppose 0 = -87*d + 24371 + 30874. Calculate the remainder when d is divided by 24.
11
Suppose -3*c - 1914 = -2445. Calculate the remainder when c is divided by 0 + 2/(-2) + 37.
33
Suppose 3*z = q - 16, 0*z - 4 = 2*q + 3*z. Suppose -c + 2*g = -0*g - q, 4*c - 3*g = 41. What is the remainder when c is divided by 6 + (-1 - (-1 - -2))?
2
Let y(b) = -b**3 + 4*b**2 + 7*b - 6. Let r be y(5). Suppose 0 = r*u + 2*m - 54, u - 6 = -3*m - 0. Calculate the remainder when 74 is divided by u.
14
Suppose -4*h + 2*q = -284, 2*q = -3*q - 10. Let f be 2080/h - (-2)/7. Calculate the remainder when 25 is divided by 5/f + (-106)/(-12).
7
Let f(d) = d**2 + 13*d - 16. Let a be (33/6)/(3/6). Suppose 5*x = 281 - a. Calculate the remainder when x is divided by f(-15).
12
Let x = -3 - -5. Let s = 26 - 56. Calculate the remainder when 7 is divided by (24/s)/(x/(-5)).
1
Let b = -5518 + 5532. Calculate the remainder when b is divided by ((-2)/3)/((-6)/81).
5
Suppose -27*p + 25*p + 36 = 0. What is the remainder when (-6)/((-6)/43) + 5 is divided by p?
12
Suppose 3*u - 3*b = 31 + 11, -2*u = 5*b + 7. Let i(y) = y - 3. Let q be i(u). Suppose -5*r - q = -6*r. What is the remainder when 8 is divided by r?
2
Let b(q) = -53*q**2 + 2*q - 1. Let i be b(1). Let c = i + 59. Calculate the remainder when 27 is divided by c.
6
Let d(r) = 21*r - 142. What is the remainder when 226 is divided by d(7)?
1
Let y = 8 + -45. Let p = y - -79. Suppose -c + 2*b + 20 = c, 5*c - b - p = 0. Calculate the remainder when 21 is divided by c.
5
Suppose -4*d + 5*m + 43 = -529, -5*d + 698 = -2*m. What is the remainder when 686 is divided by d?
134
Suppose 49 - 184 = 5*n. Calculate the remainder when 12/(-12) - (-1 + n) is divided by (-4)/22 + 167/11.
12
Suppose -3*y + 28*l - 26*l + 115 = 0, 156 = 4*y - 2*l. Calculate the remainder when 284 is divided by y.
38
Let f = 1420 + -1397. Let j(t) = t**3 + 3*t**2 + t - 2. What is the remainder when j(3) is divided by f?
9
Suppose 2*r + 3*i - 96 = 129, -4*i + 224 = 2*r. What is the remainder when 210 is divided by r?
96
Suppose 4*c - 2*j = -0*c + 62, -j + 65 = 4*c. Let a = 3 - -6. What is the remainder when c is divided by a?
7
Calculate the remainder when 87 is divided by 1 - ((-11)/(-1) + -2)*-3.
3
Let x(w) = -w**2 - 11*w - 7. Let g be x(-9). What is the remainder when 32 is divided by g/66 - 65/(-6)?
10
Let d be 5/(-10)*-1*16. Let o = d + -6. Suppose 5*c = -3*s + 69, -o*s + 6*s = -4*c + 92. What is the remainder when s is divided by 8?
7
Let z(t) = -8*t**2 - 94*t + 4. Calculate the remainder when z(-9) is divided by 29.
28
Suppose -4*t = -2*i - 0*i + 16, 3*t = 5*i - 68. Suppose 2*c = 22 - i. What is the remainder when 25 is divided by -14*1/(-3)*c?
11
Let i be 1113/5 - 22/(-55). Suppose 0 = -5*o - i + 8. Calculate the remainder when 2 - (-1 - (3 - o)) is divided by 13.
10
Let n(o) = o**2 - 20*o - 49. What is the remainder when n(30) is divided by 42?
41
Let v be 8/(-10)*(-9 - -4). Suppose v*w - 12 - 40 = 4*a, -4*a + 60 = 3*w. What is the remainder when w is divided by 11?
5
Suppose 3*j - 687 = g, -j - g + 229 = -2*g. What is the remainder when j is divided by 11?
9
Suppose 5*s - 4 - 21 = 0. Suppose 0 = -2*i - 3*v - 12, -5*v + 3 + 2 = -s*i. Let c(t) = t + 4. What is the remainder when 2 is divided by c(i)?
0
Suppose -w + 102 + 56 = 2*x, -2*w + 308 = 2*x. Calculate the remainder when w is divided by 38.
36
Suppose 70 - 20 = u. Let d = -23 + 31. Suppose -6*m = -d*m + 26. What is the remainder when u is divided by m?
11
Let h(p) = -p. Let n be h(-5). Suppose 3*u + 2*k - k = 347, -3*u + 371 = -n*k. Calculate the remainder when u is divided by 15.
12
Let c(b) = 5*b**3 - 4*b + 1. Let a(y) = 9*y**3 - 7*y + 2. Let l(d) = 6*a(d) - 11*c(d). Calculate the remainder when 197 is divided by l(-3).
21
Let x(h) = 22*h + 26. What is the remainder when x(0) is divided by 14?
12
Suppose 2*m = -8, 4*m - 360 - 128 = -4*v. Calculate the remainder when v is divided by 62.
2
Let a = 41 - 41. Suppose -6*g + 67 + 53 = a. Calculate the remainder when 75 is divided by g.
15
Let k(h) = 2*h**3 - 47*h**2 + 26*h - 24. Calculate the remainder when 87 is divided by k(23).
42
What is the remainder when 371 is divided by (-2)/(-24) - (17 - (-3817)/(-132))?
11
Let n be -1 + (88 - -3)/(-1). Let x = n + 229. Suppose 3*r - x = -44. Calculate the remainder when r is divided by 11.
9
Let l(d) = -4*d + 12. What is the remainder when 189 is divided by l(-3)?
21
Let z = 40 - 40. Suppose 104 = 4*y + d - 5*d, z = -y - d + 26. Calculate the remainder when 75 is divided by y.
23
Suppose 2 = 2*b, 5*b + 46 = 3*w + 3*b. Suppose 19*z - 1144 = 566. Calculate the remainder when z is divided by w.
10
Let y(v) = 4*v**2 - 67*v - 12. What is the remainder when 27 is divided by y(17)?
2
Let t(u) = u**2 + 7*u + 6. Let l b