Let r be 1*(3 + (-8 - -4) - -3). Suppose 4*c = -r*o + 56, o + 12 - 39 = -c. Let p = 50 + 51. Calculate the remainder when p is divided by o.
23
Suppose -4*w = 4*c - 5*c + 240, 0 = -5*c - w + 1179. What is the remainder when c is divided by 60?
56
Suppose 8*u - 4*u + 13 = -v, u = 4*v + 18. Calculate the remainder when 29 is divided by (11/22)/(1/6) - u.
4
Let t = -12 + 15. Let j = 22 + t. Calculate the remainder when (292/(-4)*-1)/1 is divided by j.
23
Suppose 5*u - 2*o - 260 = 0, 10*o = u + 9*o - 49. What is the remainder when u is divided by 8?
6
Suppose 7 + 13 = -5*g, -5*l - g = 404. Let z = l + 148. What is the remainder when z is divided by 18?
14
Suppose 0 = -10*x + 12*x - 272. Suppose x = 45*m - 41*m. Calculate the remainder when m is divided by 12.
10
Suppose 3*n - 35 = 8*n. Suppose 5*s + 15 = -0. Let y = s - n. Calculate the remainder when y is divided by 3.
1
Let s(a) = -a**2 + 18*a - 36. Let r be s(16). What is the remainder when r/10 - (102/(-5) - 0) is divided by 7?
6
What is the remainder when -5 + 5 - -8 - -31 is divided by 21?
18
Let p = -43 + 46. Suppose 2*h + 118 = 4*h - 3*w, h - 53 = p*w. What is the remainder when h is divided by 34?
31
Suppose 0 = -2*x - 30 + 82. Suppose 0 = -3*n - 15, 5*u - 5*n - 175 = 2*u. Calculate the remainder when u is divided by x.
24
Suppose 16 = -n + 5*n - 4*z, -3*n - 3*z = 0. Suppose n - 3 = -i. Let s(f) = f + 6. What is the remainder when s(-5) is divided by i?
0
What is the remainder when 31 - (-5 + (0 - 1)) is divided by 5?
2
Suppose -4*w + 0*w = -132. Let m = 66 - w. Calculate the remainder when 127 is divided by m.
28
Let f = -356 - -369. What is the remainder when 62 is divided by f?
10
Let k(y) = -4*y**2 + y + 1. Let h be k(-3). Let o = -27 - h. Calculate the remainder when o is divided by 3.
2
Suppose 2*n - 11592 = -54*n. Calculate the remainder when n is divided by 68.
3
Calculate the remainder when 347 is divided by 7/(49/35) + (2 - -43).
47
Suppose 7*g - 2*g - 35 = 0. Suppose -5*m - 4*q = 0, -m = -0*m + 3*q. Suppose m = 4*d - 22 - 114. What is the remainder when d is divided by g?
6
Let w be 2/(-9) + (-160)/(-72). Calculate the remainder when 67 is divided by 78/w - 3/(0 + 1).
31
Let f = -834 + 1159. What is the remainder when f is divided by 105?
10
Let t be 107/4 + (-4)/(-16). Suppose 0 = -2*n - n + 4*w + t, -9 = -n + 3*w. Suppose 0 = -2*z + n + 15. What is the remainder when z is divided by 5?
2
Let t(a) = -a**3 + 6*a**2 + 4*a - 5. What is the remainder when t(6) is divided by (616/132)/(4/6)?
5
Suppose -7*t - 6 = -9*t. Suppose -3*j + t*v = -j + 17, -4*v = 3*j + 68. Let h = j + 28. What is the remainder when h is divided by 4?
0
Let y(j) = -4*j - 1. Let w = -8 - -23. Let s = w - 7. Calculate the remainder when y(-4) is divided by s.
7
Let g(b) = -b + 1. Let n be g(-2). Suppose 3*t = -89 + 35. What is the remainder when (-3)/(t/28)*n is divided by 8?
6
Let r(u) = 18*u - u**2 - 14 - 8 + 8. Let h be r(17). Suppose -4*z + 5*z - 31 = -5*i, -h*z + 3*i = -39. What is the remainder when 31 is divided by z?
15
Calculate the remainder when 197 is divided by 990/121 + 9/((-99)/2).
5
Calculate the remainder when (-19264)/(-128)*20/7 is divided by 29.
24
Let j(r) = -3*r**2 + 107*r + 172. Calculate the remainder when 2180 is divided by j(37).
20
Let x = -51 - -71. What is the remainder when 89 is divided by x?
9
Suppose 0 = 2*c - v - 13, -c - 11 = -6*v + 2*v. Let u = 120 - 103. What is the remainder when u is divided by c?
8
Let q(c) = -16*c - 77. Calculate the remainder when q(-13) is divided by 6.
5
Suppose -5*o = 2*f - o - 108, 4*f + 2*o - 240 = 0. Let l(t) = t**3 - 13*t**2 + 22*t + 22. Calculate the remainder when f is divided by l(11).
18
What is the remainder when 114/(-5)*(210/(-20) + 8) is divided by 16?
9
Suppose -5*c = -4*m + 11, 3*m - 5*c - 7 = -0*m. Suppose 34 = 4*f - 5*o, -2*o - 30 = -m*f + 10. Calculate the remainder when 41 is divided by f.
8
Let k be (-264)/(-8)*(-3)/((-9)/(-3)). Let h = k - -35. Calculate the remainder when h is divided by 2.
0
Suppose -64 = -5*s + 3*a, -s + 3*a + 16 + 4 = 0. What is the remainder when 658 is divided by s?
9
Let m(u) = 5*u - u - u + 5*u - u**2. Let n be m(8). Suppose -4*x + 61 - 9 = n. What is the remainder when 22 is divided by x?
9
Let b = 158 - 128. Calculate the remainder when 79 is divided by -8*(2/(-6))/(2/b).
39
Suppose -33 = -f + 2*k, 5*f + 8*k - 7*k - 110 = 0. Calculate the remainder when 183 is divided by f.
22
Suppose 3*q - q - 124 = 0. Suppose -4*l - 171 + 239 = 0. What is the remainder when q is divided by l?
11
Let q be (-9)/(-3) - (-2 + 5). Calculate the remainder when 39 is divided by (1 - -19) + q/2.
19
Let w = 9 + -6. Let y(r) = 4*r - 7. Let m = -24 - -51. What is the remainder when m is divided by y(w)?
2
Suppose -4*x + 4*t = -124, -5*x - 2*t + 161 = -t. What is the remainder when 511 is divided by x?
31
Let v(k) = -3*k - 17. What is the remainder when 267 is divided by v(-9)?
7
Suppose 151 = 26*b - 22*b + v, 4*b - 157 = -3*v. What is the remainder when b is divided by 18?
1
Let h(o) = 184*o**2 - 176*o**2 - 5*o + 0*o + 2. Calculate the remainder when h(-2) is divided by 8.
4
Let q = 583 - 568. What is the remainder when 149 is divided by q?
14
Suppose 1548 = 35*k - 31*k. Calculate the remainder when k is divided by 10.
7
Let t = 0 + 2. Suppose t*q - 132 = -2*q. Let w = -712 - -721. What is the remainder when q is divided by w?
6
Let r(k) = 10*k + 257. Calculate the remainder when 44 is divided by r(-23).
17
Let f = 112 - 62. What is the remainder when f is divided by 27?
23
Let u = 374 + 107. Suppose 13*f - 481 = u. Calculate the remainder when f is divided by 39.
35
Suppose 3*x - 18 = -3*x. Calculate the remainder when (-380)/(-6) + 8/12 is divided by ((-3)/x - 0)*(-19 + 8).
9
Let p(b) = -b + 15. Suppose 0 = 4*c - 0*c - 64. Suppose 5*d - y + 42 = -5*y, 0 = d - 3*y + c. Calculate the remainder when 47 is divided by p(d).
22
Let a be (-39)/(-12) + 10/(-8). Calculate the remainder when 70 is divided by 348/42 - ((-12)/7 + a).
6
Suppose -4 = 3*j - 10. Suppose -j*s + s + 21 = 4*c, -c = 3*s - 85. What is the remainder when 114 is divided by s?
27
Let u(j) = -j**3 - 5*j**2 + 4*j - 9. What is the remainder when u(-11) is divided by 26?
23
Let n be (-6 + 5)*(-74)/2. Let v = -16 + n. What is the remainder when ((-7)/v)/((-2)/42) is divided by 3?
1
Let p be -2 - 2 - (-398 + -4). Suppose -3*s = 5*c - 393, 4*s = c + 103 + p. What is the remainder when s is divided by 32?
30
Suppose -3*u + 92 = -5*a, -73 = -3*u + 3*a + 17. What is the remainder when 121 is divided by u?
5
Suppose -5*v + 0*v + 15 = b, 2*b = 4*v + 2. Let s = -614 - -622. Calculate the remainder when s is divided by b.
3
Let u(a) = -7*a - 214. What is the remainder when u(-52) is divided by 18?
6
Suppose 2*w - 5*h - 116 = 0, -179 = -7*w + 4*w + 5*h. What is the remainder when w is divided by 18?
9
Suppose 29*p - 33*p = 116. Let j = p - -32. Calculate the remainder when 13 is divided by j.
1
Let s(n) = -3*n**3 - 34*n**2 + 24*n + 10. Calculate the remainder when 269 is divided by s(-12).
9
Let h = -59 + 58. Calculate the remainder when 0/(2 - h) - -11 is divided by 7.
4
Let w(v) = v**3 - 2*v - 1. Let o be w(-2). Suppose 7*y = -12*y + 1539. Let p = y + o. What is the remainder when p is divided by 20?
16
Suppose 4*g = -3*w + 23, -3*w = -2*w + 5*g - 15. Let d(s) = 22*s - 19. Calculate the remainder when d(w) is divided by 47.
44
Let v = -21 - -33. Let j = 27 - 25. Suppose -2*o + 5*q + 56 = 0, j*o + 4*q = 3*o - 25. What is the remainder when o is divided by v?
9
Suppose -4*s = -8, 0 = p + 2*p - 2*s - 5. Let g = 7 - p. Calculate the remainder when 13 is divided by g.
1
Let y = 196 + -192. What is the remainder when y is divided by 1?
0
Suppose 5*b = 2*m + 3*m - 5, 0 = -3*b - 5*m + 21. Suppose b*s = -3*p + 139, 2*p + 2 = -s + 93. What is the remainder when p is divided by 15?
13
Suppose -2*s + 22 = -4*n, -n - 3 = -4*n - 5*s. Let y(l) = -l**3 - 3*l**2 + 3*l. What is the remainder when 17 is divided by y(n)?
1
Let r(n) = -4*n**3 + 4*n**2 + 2*n - 1. Let q be r(-2). Let y = 88 - q. Calculate the remainder when y is divided by 12.
9
Let w(m) = -m**3 - 11*m**2 - m + 10. Let h be w(-11). Let b be 59/7 + (-9)/h. Let s = 8 + b. Calculate the remainder when s is divided by 9.
7
Suppose -25