 Suppose 2*o - 12 = -0*o. Calculate the remainder when 1/4 - q/(-32) is divided by o.
3
Let m(y) = y**2 + 8*y + 9. Let h be m(-6). What is the remainder when 9 is divided by (3 - (-14)/h)*-3?
4
Let w = -24 + 40. What is the remainder when 29 is divided by w?
13
Let p(o) = 4*o + o**2 + 1 - 1. What is the remainder when 9 is divided by p(-5)?
4
Suppose 3*z = 4*z - 18. Let d(k) = k**3 + k**2 + k + 1. Let o be d(-1). What is the remainder when z is divided by 10/(0 + (1 - o))?
8
Let v(g) = -g**2 - 9*g - 10. Let t be v(-7). Suppose 5*w = 8*w - 5*l - 138, -t*l - 141 = -3*w. What is the remainder when w is divided by 27?
24
Let l = 45 - 19. Suppose -13*t - 304 = -17*t. Calculate the remainder when t is divided by l.
24
Let p = -6 + 11. Suppose -3*k - p = 2*l, 2*k + k + l = -1. Suppose -7 = -i - o + k, 5*i - 56 = 3*o. Calculate the remainder when 18 is divided by i.
8
Suppose -d + 24 = -6*q + 5*q, 2*q + 74 = 3*d. What is the remainder when d is divided by 6/(-2 - 16/(-6))?
8
Let b = -6 - -6. Suppose 2*n + 5*i - 85 = b, -109 = -2*n - 4*i + 7*i. Calculate the remainder when n is divided by 26.
24
Suppose -5*n = -4*s - 110, 3*n - 2*n + 4*s - 22 = 0. What is the remainder when 84 is divided by n?
18
Let o(a) = -6*a - 33. What is the remainder when o(-17) is divided by 18?
15
Suppose 3*c + 44 = 4*k, -5*k - 3*c + 7*c = -54. What is the remainder when 54 is divided by k?
12
Suppose 0*r - 2*r = -8. Suppose r*h + h + 55 = 0. Calculate the remainder when 40 is divided by 2 - h - (-3 + 2).
12
Let u(c) = -c**3 - 6*c**2 - 5*c + 2. Let j be u(-5). Suppose -j*z - 3 = -31. What is the remainder when 26 is divided by z?
12
Let b = -25 + 39. What is the remainder when b is divided by 8?
6
Let l(y) = y**3 + 6*y**2 - 7*y - 7. What is the remainder when l(-6) is divided by 19?
16
Suppose 2*w = -2*h - 24, 0*w + 3*h = -4*w - 49. Let c = -8 - w. What is the remainder when 9 is divided by c?
4
Suppose -3*t = 4*v - 18 - 3, 3*v = -5*t + 46. Suppose -6*y + 3*y + 222 = 0. Let l = y - 53. What is the remainder when l is divided by t?
10
Let w(m) = -m**2 - 5*m - 2. Let z be w(-3). Let d be 20/z*(-4)/10. Let u = d + 11. Calculate the remainder when 16 is divided by u.
7
Suppose 0 = 4*r - 12 - 36. What is the remainder when 59 is divided by r?
11
Suppose 1 - 4 = 3*l, 3*x + 4*l = 59. Calculate the remainder when 102 is divided by x.
18
Suppose 6*o - 9 - 3 = 0. Suppose o*x + j - 24 = 0, -j = -2*x - 3*x + 67. What is the remainder when x is divided by 8?
5
Suppose 0 = d - 1 - 1. Suppose -5 - 7 = -d*t. What is the remainder when ((-15)/t)/(1/(-6)) is divided by 8?
7
Let u = 1 + -3. Calculate the remainder when (-2 + 1 + u)*-3 is divided by 5.
4
Suppose 3*a = -2*i + 43 - 8, -3*a = -5*i - 70. Calculate the remainder when 28 is divided by a.
13
Let j(s) = s - 6*s**2 - s**3 - s**2 - 1 + 8 + 3*s**2. Calculate the remainder when j(-6) is divided by 25.
23
Let k = -112 - -146. Let v(q) = -4*q. What is the remainder when k is divided by v(-3)?
10
Suppose -s + 4*v + 1 = 0, -5*v - 22 = -5*s - 2*v. Calculate the remainder when 14 is divided by s.
4
Let h be (68 + -3 + 3)/1. Suppose h = 3*q - 1. Let j = 10 - -2. Calculate the remainder when q is divided by j.
11
Suppose 2*r - 32 = -5*l - 11, 5*l + 5*r - 30 = 0. Suppose l*v + 73 = 3*k + 2*v, 121 = 5*k - v. Calculate the remainder when 70 is divided by k.
22
Let b(x) = 102*x**3 + 3*x - 1. What is the remainder when b(1) is divided by 21?
20
Let p(u) = -u**3 + 7*u**2 - u + 5. Let a be p(6). Let b = a - 25. Let o = 52 - 46. What is the remainder when b is divided by o?
4
What is the remainder when 45 is divided by 14/(-21) + 50/3?
13
Let j = -6 - -9. Suppose 4*t - 8 = 4*g, -31 = j*g - 0*t + 2*t. Let w = 38 + g. Calculate the remainder when w is divided by 16.
15
Suppose -15 = 4*p - 9*p. Suppose 0*n + 2*n = -2*x + 12, 0 = -p*n - 2*x + 17. What is the remainder when 8 is divided by n?
3
Let z(t) = 6*t**2 - 6*t**2 + 3*t - t**3. Let m be z(-5). Suppose -3*b + 46 = w, -3*b - 2*b = -5*w - m. What is the remainder when b is divided by 9?
8
Let o be (2/4)/(2/(-40)). Calculate the remainder when 14 is divided by (8/o)/(3/(-30)).
6
Suppose r = 0, 2*u - 3*r - 202 = -2*r. Calculate the remainder when u is divided by 26.
23
Let m(r) = r**3 + 4*r**2 - 4*r + 11. Let u be m(-5). What is the remainder when (-4)/u + 272/3 is divided by 23?
21
Let m be (-6)/(-4)*(-10)/15. Let v = m + 12. What is the remainder when v is divided by 6?
5
Suppose 8*x - 144 = -4*x. What is the remainder when 46 is divided by x?
10
Suppose h - 8 = -h. Suppose 30 = h*v - v. Calculate the remainder when 28 is divided by v.
8
Let y be 63/5 + (-4)/(-10). Suppose 24 = -2*d + 3*r, -y = 3*d - 2*d - r. Let q = -4 - d. What is the remainder when 32 is divided by q?
10
What is the remainder when 33 is divided by 33/7 - 12/(-42)?
3
Let i(n) = 8*n + 60. Let x(c) = -c + 9. What is the remainder when x(0) is divided by i(-7)?
1
Suppose -8*i + 62 = -5*i - s, 44 = i - 5*s. Let g(n) = -11 - n - n + i. What is the remainder when 58 is divided by g(-6)?
18
Calculate the remainder when 10/15*(0 + 42) is divided by 15.
13
Let i(y) = 2*y**2 - 10*y - 7. Calculate the remainder when i(8) is divided by (0 - 48)/(-4) - 1.
8
What is the remainder when -2 + (46 - 3) - -2 is divided by 11?
10
Suppose 2*d - 45 = -11. Calculate the remainder when d is divided by 20/3 - 2/3.
5
Let a = 21 + -7. Calculate the remainder when a is divided by (-2)/(-9) - 140/(-18).
6
Let c(m) = 15*m + 1. Let t(x) = -23*x - 1. Let q(w) = 8*c(w) + 5*t(w). Calculate the remainder when q(3) is divided by 10.
8
Let a = 15 + -10. Suppose -2*g = -4*w - 30, g = -a*w - 0*g - 20. Let q(m) = m**3 + 4*m**2 - 6*m + 1. Calculate the remainder when 11 is divided by q(w).
5
Suppose -4*v + 12 = -x - 0*x, -5*x = 5*v - 40. Suppose 2*n + x*k = -n + 54, -n + 20 = 2*k. Calculate the remainder when 40 is divided by n.
12
Let n be ((-3)/(-1))/(6/4). Suppose 3*q + 2*m = 86, -m + n - 1 = 0. Suppose 0*w + w = -5*t + 29, 2*w - 5*t = q. Calculate the remainder when 37 is divided by w.
18
Suppose 0 = 2*m - 7*m. Suppose 2*a + 2*p - 36 = m, -5*a + 4*p - 2*p + 118 = 0. Let r = 10 - 2. Calculate the remainder when a is divided by r.
6
Let m(k) = k**3 + k**2 + 22. What is the remainder when m(0) is divided by 6?
4
Let z = 84 - 57. Suppose -4*o + 3 = -5. Suppose -o*k + z = k. Calculate the remainder when 26 is divided by k.
8
Suppose 17 = 2*o + 5*r, 2*o - 2*r = -0*o + 24. What is the remainder when (-4)/(-6) - 273/(-9) is divided by o?
9
Let r = -13 + 46. Calculate the remainder when 161 is divided by r.
29
Suppose 4*v + 5*c - 82 = 0, 0 = -5*v - 2*c + 5*c + 84. What is the remainder when v is divided by 5?
3
Let z(m) = -m**3 + 5*m**2 - 5*m - 2. Let t be z(4). Let j = t + 10. Suppose -j - 4 = -4*u. Calculate the remainder when u is divided by 1.
0
Suppose 5 = 2*c - 3*c. Let y = c - -16. Calculate the remainder when 42 is divided by y.
9
Let u be (-6)/8 - 22/(-8). Let a(p) = 6*p - 5 + 1 - 3 + 2*p**u + 6. What is the remainder when 55 is divided by a(-5)?
17
Suppose 2*r = -r + 27. Let y = 10 + r. Let z(q) = -q**2 - q + 7. Calculate the remainder when y is divided by z(0).
5
Let f = 4 - 36. Let s = f - -58. Calculate the remainder when s is divided by (-12)/2*3/(-2).
8
Let h be 0/(-3) - 4/(-2). Suppose h*k = -5 + 13. Calculate the remainder when k is divided by 3.
1
Let q(t) = t**3 + 9*t**2 + 6*t - 4. Let w = 4 - 12. Suppose 1 = 5*s - 169. Calculate the remainder when s is divided by q(w).
10
Let n = 6 + -4. Suppose -2*r = n*r - 24. Suppose -30 = -r*s + 3*s. Calculate the remainder when s is divided by 6.
4
Let q = 2 - 2. Suppose q = -2*c - 2 + 12. What is the remainder when c is divided by 2?
1
Let z = 123 - 106. Calculate the remainder when 65 is divided by z.
14
Let i = -61 + 100. Let n be (-4 + 5)*-1*i. Let a = n - -82. Calculate the remainder when a is divided by 15.
13
Suppose 2*h + l - 80 = 0, -5*h + 66 = 5*l - 129. Calculate the remainder when h is divided by 11.
8
Let d(g) = 2*g**2 + 14*g + 9. Let f(v) = -4*v**3 - v**2 + 4*v + 3. Calculate the remainder when d(-9) is divided by f(-2).
22
Let o(x) be the third derivative of x**5/60 - 7*x**4/24 - x**3/6 + 3*x**2. What is the remainder when 12 is divided by o(8)?
5
Suppose c + 1 = 5*s - 3*s, -5*s - 5*c + 40 = 0. Suppose -5*o 