t z = -25 - -43. Let f(m) = m**2 - 8*m - 4. Let u be f(9). Suppose 2*x - 75 = 3*v + 32, 0 = u*x + 3*v - 257. Calculate the remainder when x is divided by z.
16
Let m(c) = -2*c**3 - c**2 - 2*c - 3. Suppose 2*d - 4*f - 63 = -9*f, -54 = -2*d - 2*f. What is the remainder when d is divided by m(-2)?
11
Suppose -u - 3*a - 1 = -0*u, a = 4*u - 35. Calculate the remainder when 15 is divided by u.
7
Let d(a) = -17*a**3 + a**2 - a - 1. What is the remainder when 31 is divided by d(-1)?
13
Suppose -2*a = -h - 20, 9 + 37 = 4*a - 5*h. What is the remainder when 43 is divided by a?
7
Let m(i) = -59*i**3 + i**2 - 1. Calculate the remainder when m(-1) is divided by 79/4 - (-1)/4.
19
Let o(l) = l**2 + l + 8. Let d be o(0). Suppose k - 2*k + d = 0. Suppose -88 = 2*r - 6*r. What is the remainder when r is divided by k?
6
Let v = 20 + 7. Suppose 2*k = -2*i + 3*k + 105, 0 = 5*i - k - 264. What is the remainder when i is divided by v?
26
What is the remainder when (-2)/8 + 126/24 is divided by 4?
1
Suppose 48 = 2*g - 5*d, d + 2*d = -2*g + 16. Calculate the remainder when 25 is divided by g.
11
Calculate the remainder when (4/(-5))/(-2)*40 is divided by 18*(3/2 + -1).
7
Let j(p) = -2*p + 7. Calculate the remainder when j(-6) is divided by 8.
3
Suppose -t + i = -14 - 14, -2*t + 54 = -i. Let j = 2 + 5. What is the remainder when (2/(-2))/((-2)/t) is divided by j?
6
Suppose -52 - 28 = -4*k. What is the remainder when 79 is divided by k?
19
Suppose -3*a + 5*g + 281 = 0, -2*a + 2*g + g = -187. Suppose 2*m - 22 = a. What is the remainder when m is divided by 15?
12
Suppose -24 = -2*b - b + 4*p, 4*b + 5*p - 32 = 0. Let u(t) = -t + 3. What is the remainder when b is divided by u(-2)?
3
Suppose -4*o - 5*g = -50, -4*o + 34 - 2 = -4*g. Suppose 6*q = q - 15, -y + q = -31. Calculate the remainder when y is divided by o.
8
Let k = -54 - -119. What is the remainder when k is divided by 14?
9
Let b = 37 + -36. What is the remainder when 5 is divided by b?
0
Let q(k) = k**2 - k - 2. Let j be q(-2). Suppose t + j*r - 20 = 0, -5*t + 138 = -4*r + 5*r. Let a = 1 + t. Calculate the remainder when a is divided by 10.
9
Let t be 27 - -4 - (-2 - -2). Let n = -20 + t. What is the remainder when 42 is divided by n?
9
Let m(b) = b**3 + 4*b**2 + 3*b + 3. Let k be m(-3). Calculate the remainder when 19 is divided by 10/k*(2 - -1).
9
Let z(y) = -y**3 - 8*y**2 - 14*y. Calculate the remainder when z(-6) is divided by 2.
0
Suppose 2*k + 5 - 1 = -3*x, -k + 8 = 4*x. Let a = 11 + k. Suppose 121 = a*h + 25. What is the remainder when h is divided by 11?
10
Let g(h) = 2*h**2 - 4*h - 2. Calculate the remainder when 82 is divided by g(5).
26
Let q = 31 + -13. Calculate the remainder when 62 is divided by q.
8
Suppose f = 2*f. Suppose -2*w + 4*a + 66 = -f*a, 0 = -2*a + 8. What is the remainder when w is divided by 22?
19
Let w = -35 + 51. What is the remainder when 47 is divided by w?
15
Let r = -7 - -2. Let n(l) = l**2 + 5*l + 4. Calculate the remainder when 7 is divided by n(r).
3
Suppose -q + 29 = -2. What is the remainder when q is divided by 11?
9
Suppose -3*v + 416 + 109 = 0. What is the remainder when v is divided by 36?
31
Let m = -39 - -55. Let f = 4 + 1. What is the remainder when m is divided by 35/f - (-1 + 2)?
4
Let x(b) = b**2 + 2*b - 3. Suppose -k + 0*k + 1 = 5*u, 3*k = 4*u - 16. Let n = -14 - -23. Calculate the remainder when n is divided by x(k).
4
Let u = 8 - -4. Let m = u + -7. What is the remainder when 9 is divided by m?
4
Let a = 16 - -30. What is the remainder when a is divided by 25?
21
Let b(y) = 7*y**3 + 2*y**2 - 1. Let a be b(-1). Calculate the remainder when 7 is divided by a/5*(-10)/4.
1
Suppose 3*v - 270 = -4*c, c - 3*v - 30 = 30. What is the remainder when c is divided by 19?
9
Let d = 5 - 0. Suppose 0 = d*b - 52 - 138. Suppose 0 = 4*i + k - 64, 0 = -2*i - 4*k + 5*k + b. What is the remainder when 33 is divided by i?
16
Suppose g = 5*g - 160. What is the remainder when 235 is divided by g?
35
Suppose -3*b + 3*l = -33, -5*b = -b + 5*l - 17. Let o = 37 + -34. What is the remainder when b is divided by o?
2
Suppose -3*g - f = -5 + 3, -5*g - 3*f + 6 = 0. Suppose 5*n - 16 = 3*a + 14, g = -5*n + 2*a + 35. Let j = n - 8. What is the remainder when 3 is divided by j?
0
Suppose -8 - 27 = -5*w. Suppose 0 = -5*q + w*q + 2. Let b = q + 23. What is the remainder when b is divided by 8?
6
Suppose -4*s + 10 = s. Let q be -8*(-1)/s + 0. What is the remainder when 38 is divided by 120/9*6/q?
18
Suppose -q + 3*v + 15 = -0*v, -2*v + 74 = 4*q. What is the remainder when 53 is divided by q?
17
Suppose 13*b = 838 - 266. What is the remainder when 128 is divided by b?
40
Let t(u) = -u**3 - 3*u**2 + 9*u + 2. Calculate the remainder when t(-7) is divided by 34.
33
Let v be 2 - (-2)/4*14. Let r = 22 - v. What is the remainder when 36 is divided by r?
10
Suppose 156 = 2*k + 5*s + 43, s + 323 = 5*k. Calculate the remainder when k is divided by 35.
29
Let z = 18 + -9. What is the remainder when 32 is divided by z?
5
Let d be (-12)/30 - 17/(-5). Suppose -2*p + y = -d*y - 20, 2*p = 2*y + 18. Calculate the remainder when p is divided by 3.
2
Let k(h) = -7*h + 2. Let l = 45 - 33. What is the remainder when k(-3) is divided by l?
11
Let w = 33 + -21. What is the remainder when 3 is divided by w/7 + (-6)/(-21)?
1
Suppose u - 5*u - 3*p + 257 = 0, -3*u + 197 = -2*p. Suppose -3 = 4*h - 91. Calculate the remainder when u is divided by h.
21
Let i = -9 + 37. What is the remainder when i is divided by 8?
4
Let b(k) = 21*k - 1. Let j be b(1). Suppose g = -g + j. Calculate the remainder when 2 + (-4)/6*-24 is divided by g.
8
Let z = -66 - -121. What is the remainder when z is divided by 19?
17
Let l be (2/3)/((-4)/(-42)). Let b be (-2)/7 - 82/l. What is the remainder when 2/(-3) - 212/b is divided by 9?
8
Suppose -2*x = 4*m - 12, -4*m - 2*x = -5*m - 2. Suppose k = m*k - 9. Calculate the remainder when k is divided by 5.
4
Let z(v) = v**2 - v + 1. Calculate the remainder when 18 is divided by z(3).
4
Calculate the remainder when (23 - -3)/((-4)/(-6)) is divided by 21.
18
Suppose -5*o - 235 = -3*v, 0*v - 5*o = -2*v + 165. Let a = v + -42. Suppose -2*z + 0*z = -a. Calculate the remainder when z is divided by 8.
6
Suppose -4 = -4*i + 2*i. Suppose -m - t = m - 32, i*m + 3*t = 40. What is the remainder when 10 is divided by (-2)/7 + 88/m?
4
Suppose 237 + 83 = 2*k - 3*t, 8 = 2*t. Calculate the remainder when k is divided by 21.
19
Let g be (5/2 - 3)*-14. Let t = g - 7. Suppose 2*y + 3*m - 72 + t = 0, -134 = -3*y + 2*m. Calculate the remainder when y is divided by 11.
9
Let g be 1/(21/9 + -2). Suppose g*n - 52 = -16. What is the remainder when 35 is divided by n?
11
Let b(m) = 55*m**3 + m**2 - m + 1. Let i = 95 - 76. Calculate the remainder when b(1) is divided by i.
18
Let v(j) = j**2 + 8*j + 5. Let u be v(-12). Let f = u + -38. Calculate the remainder when f is divided by 6.
3
Suppose -51 = -4*u + 25. Suppose 2 = -c + 2*c + 4*v, c - 5*v - 20 = 0. What is the remainder when u is divided by c?
9
Let s be -1 - 2 - 0/(-2). Suppose -2*k + 24 = -2*c + 3*c, -k = 4. Let p = c - s. Calculate the remainder when p is divided by 12.
11
Let v(a) = -6 + 2 + 2*a + 2 + 15. Calculate the remainder when v(10) is divided by 2/8 + (-70)/(-8).
6
Suppose -2*r - 446 = -4*b, -3*b + r = -2*b - 110. Calculate the remainder when b is divided by 29.
26
Let s(j) = -8*j**3 - j**2 - 2*j - 1. Suppose -2*t = -5*w + 7, -5*t - 1 = 3*w + w. What is the remainder when 29 is divided by s(t)?
5
Let t(v) = v**2 - 16*v - 14. What is the remainder when 8 is divided by t(17)?
2
Calculate the remainder when 92 is divided by 26 + -29 + 11*2.
16
Calculate the remainder when 23 is divided by (-1)/6 + 444/72.
5
Suppose 5*r + 2 = 2*w + w, -4*w + 2*r = 16. Let s = -1 - w. Suppose -s*k + 4 + 31 = 0. What is the remainder when k is divided by 3?
1
Let v = -3 + 16. Calculate the remainder when v is divided by 6.
1
Suppose o + 3*f - 171 = 0, o - f + 6 = 189. Calculate the remainder when o is divided by 26.
24
Suppose 4*s = -16, u = 4*u - 5*s - 1016. Suppose 0*l + u = 4*l. Calculate the remainder when l is divided by 21.
20
Suppose -y + 14 = -42. Let h = 101 - y. Suppose 2*w + 1 = o - 14, -w = -3*o + h. Calculate the remainder when 44 is divided by o.
14
Let s = -7 + -4. Let