d by 8.
5
Let m = 41 - 36. Suppose 0 = -5*h - p - 4*p + 125, 0 = h - m*p - 37. What is the remainder when h is divided by 6?
3
Let a = -750 + 769. What is the remainder when 966 is divided by a?
16
Let d(b) = 40*b - 11. Calculate the remainder when d(11) is divided by 43.
42
Suppose -14 - 22 = 6*s. What is the remainder when 79 - (-2 + (1 - -1)) is divided by (3/s)/(4/(-216))?
25
Let l(t) = 13*t**2 - 60*t + 21. What is the remainder when l(6) is divided by ((-26)/(-5))/((-3)/(-15))?
25
Suppose -4*b = -m - 36, 4*b = -4*m - 8 + 24. Let l = -80 - -245. Suppose -l + 47 = -5*s + 3*x, -5*x - 51 = -2*s. Calculate the remainder when s is divided by b.
7
Suppose 0 = -36*r + 12934 - 1198. Calculate the remainder when r is divided by 47.
44
Suppose 0 = -7*w + 11*w - 8, 82 = 2*t + 2*w. What is the remainder when 101 is divided by t?
23
Suppose 10*x = 11*x. Suppose -s - 2 = 0, x = -4*d + s + s - 12. What is the remainder when 2 is divided by 12/d + 4 + 0?
0
Calculate the remainder when (-23 - -12) + 1 + 425 is divided by 22.
19
Suppose 7 + 154 = 3*r - 2*a, 3*a = -r + 61. Suppose -j - 3 + r = 0. Suppose 3*l - l - 2*t = j, 0 = 5*t - 25. What is the remainder when l is divided by 17?
14
Suppose 0 = d - u + 6*u - 32, 100 = 5*d + 5*u. What is the remainder when 2615 is divided by d?
14
Let v = 160 - 97. Calculate the remainder when v is divided by 33.
30
Suppose -5*n = 5*r - r - 40, -4*n = -r + 10. Calculate the remainder when 1 is divided by (-33)/(-39) - r/(-65).
0
Let n = 111 - 105. Suppose f = -4*k - n, -6*k + 41 = 4*f - 3*k. Calculate the remainder when 39 is divided by f.
11
Suppose -6*q + 2*q = -28. Let x be (0*4/12)/(-1) + 39. Suppose 40*i - x*i = 20. What is the remainder when i is divided by q?
6
Let z = -17 + 12. Let s(a) = 3*a**3 + 13*a**2 + 10*a + 7. What is the remainder when s(-3) is divided by z*((-1)/(-5) + -1)?
1
Suppose 10*q = 117 + 53. Suppose -q = -b - 5*i, -4*i + 2 = b - 12. Let z = 8 + -1. What is the remainder when z is divided by b?
1
Suppose -56*s + 5067 - 1483 = 0. What is the remainder when 230 is divided by s?
38
Let k be -1 + -2 + (-54)/(-3). Let p = 18 - k. Suppose -p*f = -44 + 5. Calculate the remainder when 49 is divided by f.
10
Let q(u) = 6*u**2 - 3*u - 8. Let c be ((-2)/(-5))/(12/(-60)). Calculate the remainder when q(c) is divided by 8.
6
Suppose -57 = -8*w - 25. What is the remainder when 26 is divided by w?
2
Suppose 0 = -5*l - 2*k + 34, 4*l - 26 - 15 = 3*k. Calculate the remainder when l is divided by 6.
2
Let h(n) = 7*n**2 - 8. Let b(m) = -m**3 + 21*m**2 - 37*m - 15. Let y be b(19). Calculate the remainder when h(y) is divided by 21.
20
Suppose 0*y + 4*y - 16 = 0. Suppose 0*p = -p - 2, y*v + 4*p + 8 = 0. Suppose -2*c + 14 = -v*c. Calculate the remainder when 25 is divided by c.
4
Suppose 4*x + 2*j = 232, j + 136 + 38 = 3*x. What is the remainder when 332 is divided by x?
42
Let x(k) = k - 13. Let j = 41 - 24. Calculate the remainder when x(45) is divided by j.
15
Let t be ((-3)/2)/((-10179)/(-1698) - 6). Suppose 1030 = 9*k + t. What is the remainder when k is divided by 28?
27
Suppose -3*i - 3 = -6*i. Suppose -i = -4*s + 31. Suppose 100 = 29*w - 9*w. Calculate the remainder when s is divided by w.
3
Let q(o) = 4*o - 8. Let p be q(3). Suppose 0*b + 3*m - 173 = -5*b, 0 = -4*b + p*m + 132. What is the remainder when 63 is divided by b?
29
Let i(j) = 4*j + 4. Let v be i(0). Suppose 0*f + 5*w = f + v, 0 = -5*w + 25. What is the remainder when f is divided by 8?
5
Suppose -152 = -15*r + 2563. What is the remainder when r is divided by 14?
13
Let q be (-8)/(-24)*(14 + 1). Suppose -v - 1 = -b - 2*b, q*v = 2*b - 5. Suppose 2*k = 6*k + 5*j - 449, j - 1 = b. What is the remainder when k is divided by 28?
27
Let h = -88 + 59. Let s = h + 56. Suppose r + 0*r = -3*w + s, 2*w = r - 7. Calculate the remainder when 28 is divided by r.
13
Calculate the remainder when 36 is divided by (432/(-8))/(-9) - 0.
0
Suppose 0 = r - 3*t - 0 - 32, 2*r + 4*t = 14. Suppose -5*i = -2*i - 99. What is the remainder when i is divided by r?
16
Let u = 52 - 106. Let c be 12/u - 196/9. Let r = -13 - c. Calculate the remainder when r is divided by 5.
4
Suppose 2*x + 150 = 414. What is the remainder when x is divided by 49?
34
Let i(y) = y**3 + 14*y**2 - 5*y - 20. Let c = -8 - -12. Let d = c + -18. Calculate the remainder when i(d) is divided by 17.
16
Let r be 2*2 + 128/(56/(-7)). Suppose 2*v + 2*l = 6*l + 24, -4*v + 5*l = -36. What is the remainder when 47 is divided by (-3)/r*v*12?
11
Calculate the remainder when 53*(-13 - -96) - -1 is divided by 27.
26
Suppose x - 4*x = -174. Let q = -94 + x. Let v = q - -82. What is the remainder when v is divided by 16?
14
Let f(t) = -t**2 + 5*t + 26. Suppose k + 2*n = -2*k + 8, 5*k = -4*n + 16. What is the remainder when f(k) is divided by 9?
8
Let s(c) = 17*c - 115. What is the remainder when s(14) is divided by 9?
6
Let h = 140 + -25. Calculate the remainder when h is divided by 30.
25
Let c = 8 - 5. Let t = 13 - 11. Suppose 5 = -w + t*o + o, c*w + 2*o - 18 = 0. What is the remainder when 9 is divided by w?
1
Suppose 0 = -2*m + u + 249, 11*m - 2*u - 374 = 8*m. What is the remainder when m is divided by 21?
19
Let l(a) = -52*a - 59. Calculate the remainder when l(-5) is divided by 12.
9
What is the remainder when 695 is divided by 8 - ((8 - 4) + -4)?
7
Let x(g) = g**3 + 12*g**2 - 27*g + 16. Let a be x(-14). Let f = 5 + a. Calculate the remainder when f is divided by 4.
3
Let w be (-2)/(-2 + (-14)/(-8)). Let g(a) = 9*a - 3. Calculate the remainder when g(w) is divided by 2/(-6) - 73/(-3).
21
Suppose -160 = -3*z + b, -5*z + 3*b + 264 = -0*b. Let f = z - 45. Calculate the remainder when 25 is divided by f.
7
Calculate the remainder when 294 is divided by ((-40)/(-4) - -2)*(-9)/(-4).
24
Suppose 0 = -4*y + 2*s - 3*s + 106, 0 = y + 5*s - 36. Suppose 2*a + y = 4*a. What is the remainder when 63 is divided by a?
11
Let a be 0 - ((-10)/(-70) + (-44)/14). Let j = a + 31. Calculate the remainder when 134 is divided by j.
32
Let p(n) = n**3 - n + 168. Let r be p(0). Suppose 117 = 3*z - r. What is the remainder when z is divided by 12?
11
Let s(c) = -5*c - 48. What is the remainder when 29 is divided by s(-11)?
1
Let g be (3 - 5)*(-7)/(-2). Let f = g - -12. Suppose i - 2 = f. Calculate the remainder when i is divided by 2.
1
Suppose -c - 3*c + 164 = 0. Suppose 0 = 3*l - 7*l + 8. Suppose -3*k + 56 = l*d, -5*d + 42 = -4*d + 5*k. Calculate the remainder when c is divided by d.
19
Let b be (1 + 8 - 1) + -4. Suppose 0 = -2*n + 4, -2*i + b*n + 68 = 2*i. Calculate the remainder when 72 is divided by i.
15
Let y = 233 - 214. Calculate the remainder when 107 is divided by y.
12
Let w(a) = 5*a**2 - 11*a - 10. Calculate the remainder when 51 is divided by w(-1).
3
Let y(w) = w**3 - 4*w**2 + 5*w + 2. Let j be y(5). Suppose 4*v - 40 = j. Calculate the remainder when v is divided by 5.
3
Suppose -16*x + x = -29535. What is the remainder when x is divided by 73?
71
Suppose 0 = 81*l - 671 - 5809. What is the remainder when 193 is divided by l?
33
Let a = -2 + 32. What is the remainder when (1428/36)/(1/3) is divided by a?
29
What is the remainder when (-64 + 65)*1*17 is divided by 6?
5
Let h = 85 - 83. Suppose h*u - c + 94 = 7*u, 4*u = 4*c + 80. What is the remainder when 88 is divided by u?
12
Let p be -2 + 150 + -2 + 1. Suppose 0 = -11*m + 8*m + p. What is the remainder when m is divided by 13?
10
Let x(q) = q**3 - 25*q**2 + 16*q + 18. Let m be x(24). Let b = m + 296. Calculate the remainder when b is divided by 25.
22
Suppose 3*g = -m + 5*m - 14, 0 = -m - 4. Let f(y) = 3*y**2 + 18*y - 2. What is the remainder when f(g) is divided by 15?
13
Let b = 75 + -55. Calculate the remainder when 157 is divided by b.
17
Let j = 76 - -154. Calculate the remainder when j is divided by 21.
20
Suppose 3*f - 4*f + 8 = 0. Let c(o) be the third derivative of o**5/15 + o**4/6 - o**3/6 - 7*o**2. Calculate the remainder when c(-3) is divided by f.
7
Let q(f) = 6*f + 18. Let v be q(-3). Suppose -134 = -4*b + x, -4*x = -v - 8. What is the remainder when b is divided by 9?
7
Let h be -3 + -1 + 3 + -9. Let t = h - -77. Calculate the remainder when t is divided by 34.
33
Suppose 43*n - 103*n = -2220. What is the remainder when 142 is divided by n?
31
Let c(p) = 2*p*