late the remainder when u is divided by k.
9
Suppose 0*r - 320 = -16*r. Let o = -16 + r. Calculate the remainder when 18 is divided by o.
2
Let g be -3 + 32/4 + -1. Suppose -g*w + 28 = -0*w - 5*k, k - 6 = -5*w. Calculate the remainder when w is divided by 2*(-3 + 7/2).
0
Let i = 1 - 3. Let x(h) = h**3 - h**2 - 1. Let f(m) = -8*m**3 + m**2 - 2*m + 5. Let y(w) = f(w) + 5*x(w). What is the remainder when 22 is divided by y(i)?
10
Suppose -2*d - k - 35 = -5*d, d - 4*k = 30. Suppose -5*r - 19 = 3*z, -5*z + 5*r + 15 = -d*z. Let h = z - -5. What is the remainder when 13 is divided by h?
6
Let i(x) = 23 - 15 - 3*x + x**2 + 2*x. Suppose -5*v + 4*w + 31 = 0, -2*w + 36 = 5*v - w. What is the remainder when i(v) is divided by 26?
24
Let l = -5 - -7. Let r = 2 - l. Calculate the remainder when 16 is divided by -3 + 7 + 2 + r.
4
Suppose -48*m - 11115 = -61*m. What is the remainder when m is divided by 39?
36
Let o(b) = b**2 - 6. Suppose 53 = -20*f + 21*f + 5*x, f - 4*x - 17 = 0. Calculate the remainder when o(8) is divided by f.
25
Let l = -23 - -10. Let v = 8 - l. What is the remainder when 144 is divided by v?
18
Suppose 4*p = 5*z - 197, -z - 4*z + 170 = 5*p. Let d = 72 - 62. Calculate the remainder when z is divided by d.
7
Let q = -219 + 220. Calculate the remainder when 13 is divided by q.
0
Calculate the remainder when (-3 + 2)/((-1)/7) is divided by 1/((-4)/((-80)/85) + -4).
3
Suppose 23 = 3*h - 5*n, -3*h - 4*n = 2*h - 100. Suppose 4*q + 16 = -2*i, 16 = -3*i + q + 6. What is the remainder when ((-42)/(-4))/(i/(-24)) is divided by h?
15
Suppose 3*k + 5*d + 25 = 0, 4*k + d + 5 = 2*k. Suppose 0 = -k*n + 4*n - 44. Calculate the remainder when n is divided by -2 - (-1 - (9 + -1)).
4
Suppose 69*p = 73*p - 188. What is the remainder when 467 is divided by p?
44
Suppose 0 = 4*a - r - 3, a = -2*a - 3*r - 9. Let f = a + 4. Suppose l - 2*l + 5*b + 28 = 0, f*l = 5*b + 142. Calculate the remainder when l is divided by 20.
18
Suppose u + 85 = 5*j, -2*u - 41 = -4*j + 33. Suppose -17*n = -j*n - 65. What is the remainder when n is divided by 23?
19
Let d = -166 - -186. What is the remainder when 78 is divided by d?
18
Suppose -83 = -3*h + 10. Suppose 2*y + h = 145. Calculate the remainder when y is divided by 308/20 + 2/(-5).
12
Suppose -66 = -554*x + 548*x. What is the remainder when 151 is divided by x?
8
Suppose -59*x + 60*x + 5*j = 282, 4*j = -8. Calculate the remainder when x is divided by 20.
12
Let f be (3/9)/(2/6). Let c = -15 + 17. Calculate the remainder when (-16)/(-4) + f*-2 is divided by c.
0
Suppose -1656 = -12*o + 60. Let z = o + 75. Calculate the remainder when z is divided by 37.
33
Suppose -2*g = -3 - 19. Let b(n) be the first derivative of -4*n**2 + 2*n - 5. What is the remainder when b(-5) is divided by g?
9
Let i = 82 + -39. Let j = -37 + i. Calculate the remainder when 10 is divided by j.
4
Suppose 4*h = 5*v + 114, 5 = -3*v + 11. What is the remainder when ((-118)/(-6))/((-2)/(-6)) is divided by h?
28
Suppose -36 = -3*n - 2*h, -5*h = -5*n + 3*n + 43. Suppose -9*o = -2*o - n. Calculate the remainder when o is divided by 1.
0
Let b = 251 - 242. What is the remainder when 71 is divided by b?
8
Suppose -8 = -2*j - 2*f, 74*f = -j + 70*f + 7. Let a = 11 - 8. Calculate the remainder when j is divided by a.
0
Let f(h) = -2*h**3 - 6*h**2 - 3*h + 1. Suppose -4*l = -123 + 7. Let b = l + -13. What is the remainder when f(-4) is divided by b?
13
Let x be 40/(-3)*(-6)/(-4). Let b be 305/x - 6/8. Calculate the remainder when 25 is divided by 17/4 + b/64.
1
Suppose -3*q - 3*b + 99 = 0, -2*b + 5*b = 3*q - 123. What is the remainder when q is divided by 11?
4
Let d = 126 + -85. Calculate the remainder when 942 is divided by d.
40
Let y(s) = -s**3 + 5*s**2 + 100*s - 2. What is the remainder when 87 is divided by y(-8)?
27
Suppose 1450 + 524 = 42*i. Calculate the remainder when i is divided by 8.
7
Suppose -9*g + 184 = -4*g + 4*a, g = -a + 36. Calculate the remainder when g is divided by 5.
0
Let g(r) = 5*r**2 + 5*r + 3. Let x(j) = -26*j**2 - 26*j - 16. Let d(k) = 16*g(k) + 3*x(k). Calculate the remainder when 141 is divided by d(-4).
21
Let x = 191 - 146. Calculate the remainder when x is divided by 43.
2
Let x(p) = -15*p + 6. Let s be x(12). Let w = 204 + s. Calculate the remainder when 89 is divided by w.
29
Let h = -2 - -6. Suppose -3*i + 12 = -i + 4*f, 3*f - 44 = -5*i. Let d(j) = -j**3 + 9*j**2 + 11*j - 8. What is the remainder when h is divided by d(i)?
0
Let s = 8 + -3. Suppose 14 = -3*q + 5*q - s*o, -2*o - 10 = -3*q. Let u(m) = m**3 - 10*m**2 + 2*m - 13. What is the remainder when u(10) is divided by q?
1
Let g(f) be the first derivative of -9*f + 6*f**2 + 9 + 0 - 8*f**2. What is the remainder when g(-4) is divided by 4?
3
Suppose -3*x = -x - 4*u - 34, 2*x + 3*u = -1. Suppose -x*l - 5*q - 34 = -11*l, 38 = 4*l - 3*q. Calculate the remainder when 31 is divided by l.
9
Let i be (-6)/15 + (-72)/(-5). Let f(q) = -5*q**3 + i*q - 2*q**2 + 7 + 0 + 14*q**2 + 4*q**3. Calculate the remainder when f(13) is divided by 7.
6
Suppose -2*a + 700 = 8*m - 11*m, -2*a = 3*m - 724. What is the remainder when a is divided by 60?
56
Let a(s) = -9*s**2 - 5*s. Let x(o) = 8*o**2 + 5*o. Let w(q) = -4*a(q) - 3*x(q). What is the remainder when w(-2) is divided by -1 - (-1 - (-20)/(-1))?
18
Let r(b) = -5*b**3 - 6*b**2 - 2*b + 14. What is the remainder when 111 is divided by r(-3)?
10
Let m(h) = h**2 + 7*h + 12. Let x be m(-8). What is the remainder when (4/(-2) + 3)/(x/580) is divided by 6?
5
Suppose 7*s = 10 + 109. What is the remainder when (-22)/(-33)*141/2 is divided by s?
13
Let p = -28 - -23. Calculate the remainder when 70 + 0 + (p - -3) is divided by 18.
14
Let v = 31 + -26. Suppose v*m - 3*k - 27 = 0, 0 = -5*m - k - 2*k + 3. Calculate the remainder when 3 is divided by m.
0
Suppose -4*k - 4*r + 142 + 78 = 0, 2*r = 4*k - 202. Suppose -k = -0*q - 2*q. What is the remainder when q is divided by 10?
6
Let m(r) = r**2 + 7*r - 28. Let c be m(-11). Let y = c + 36. Calculate the remainder when y is divided by 18.
16
Let c be 1 + (3 + 84)/(6/8). Suppose 5*b = 3*t - c, -2*t - 2*t = -b - 173. What is the remainder when t is divided by 17?
10
Suppose -76*j = -72*j - 1776. Calculate the remainder when j is divided by 56.
52
Suppose -m = 2*v + 37 - 64, -5*m = 2*v + 1. Let a = 190 - 130. What is the remainder when a is divided by v?
9
Let r = 88 - 45. Let u = r - 40. Calculate the remainder when 18 is divided by u.
0
Suppose -i + 181 = -17. Suppose 150 = 6*m - 3*m. What is the remainder when i is divided by m?
48
Let z(l) = -l - 6. Let r be z(-3). Let d = 6 + r. Suppose d = -3*m + 66. What is the remainder when 81 is divided by m?
18
Let j = -221 + 249. Suppose 5*r + 9 = -11, -4*r = -h + 19. What is the remainder when j is divided by h?
1
Suppose 0 = -12*q + 1741 + 1511. What is the remainder when q is divided by 92?
87
Let d(l) = l**2 + 6*l + 9. Let x be 8/(-28) - 33/7. Calculate the remainder when 7 is divided by d(x).
3
Suppose 272 = 14*g - 512. What is the remainder when 893 is divided by g?
53
Calculate the remainder when (17/51)/(1869/(-936) - -2) is divided by 16.
8
Suppose -2*r + 85 = -3*o, 0 = 5*r - 28*o + 23*o - 225. What is the remainder when r is divided by 25?
0
Let f = -23 + 26. Suppose 0*h - f*h = 0. Calculate the remainder when (h + -2)*148/(-8) is divided by 10.
7
Suppose 2*r - 33 - 45 = 0. Let m = 154 + -77. What is the remainder when m is divided by r?
38
Let v(o) = 10*o + o**2 - 11*o + 13 + 7*o + 13*o. What is the remainder when v(-21) is divided by 20?
15
Calculate the remainder when 1268/(((-72)/30)/(-3)) is divided by 15.
10
Suppose 1138 = -34*x + 152. Suppose -4*r - 50 = 4*f + 34, 3*r + 5*f = -57. Let s = r - x. What is the remainder when 9 is divided by s?
4
Suppose 167 - 41 = 9*i. Suppose 0 = 2*w - 49 + 281. Let t = 169 + w. What is the remainder when t is divided by i?
11
Let m = 14 + -11. Suppose -8 = -t - 3*d, -m*t + t - 2*d + 16 = 0. Suppose -12 = 3*g, 5*y - 5*g - 86 = 79. Calculate the remainder when y is divided by t.
5
Let h(o) = -4*o + 129. Calculate the remainder when h(17) is divided by 39.
22
Let s = -15 + 11. Let a = s - -12. Let w = -28 + 57. Calculate the remainder when w is divided by a.
5
Let n = 242 + -230. Let h(k) = k**2 + 20*k + 23. What is th