. Suppose -3*x - s = -118, -n*x + 4*s = -s - 132. What is the remainder when x is divided by q?
18
Let q be (-1645)/(3/(6 + -3)). Let a = q - -1725. Let p = 10 + 4. Calculate the remainder when a is divided by p.
10
Let g = -205 + 220. Suppose 3*b + u = 98 + g, b = 2*u + 33. Let q(z) = -8*z. What is the remainder when b is divided by q(-1)?
5
What is the remainder when ((-1)/1 - 1) + (10848 - -20) is divided by 44?
42
Suppose -4*w + b - 103 = -5*w, -2*w = -b - 206. Suppose -3*n + 4*g + w = 0, g - 22 = n - 57. What is the remainder when 103 is divided by n?
29
Let d(h) = -23*h - 96. Let r be d(-4). What is the remainder when 342 is divided by 28 - (9 - (r - -8))?
20
Let d = 631 + -586. Suppose x - 48 = -3*p, -18 - d = -3*p + 4*x. Calculate the remainder when 42 is divided by p.
8
Let z = 3020 - 1990. Suppose 16*m + z = 17*m. Calculate the remainder when m is divided by 43.
41
Suppose -m + 3*m + 206 = -4*t, t = -2*m - 53. What is the remainder when 113 is divided by 5/3 + -1 - 986/t?
13
Suppose -2*u - 196 = -4*w + 2*u, -4*w + 211 = -u. Suppose 17*t - 4452 = -4*t - 21*t. What is the remainder when t is divided by w?
52
Suppose -16 - 14 = 6*n. Calculate the remainder when n + (-4)/(-4) - -1*72 is divided by 14.
12
Let i(s) = s**2 + 9*s - 9. Let c be i(-9). What is the remainder when (((-126)/8)/c)/((-3)/(-72)) is divided by 18?
6
Suppose -29*i = -65 - 138. Let j = 21 + 61. What is the remainder when j is divided by i?
5
Suppose 4*o - 3*m - 116 = 0, 0*m = -3*o - m + 100. Let v = 9 + -9. Suppose -3*y - 59 + 242 = v. What is the remainder when y is divided by o?
29
Suppose 4*h + 18 = 6*h, -h - 901 = 10*j - 2560. Let s(u) = 3*u**3 + 2*u**2 - 2*u + 1. What is the remainder when j is divided by s(1)?
1
Let n(f) = 2*f**2 - 96*f + 306. Suppose -2*s + 72 = -284. What is the remainder when s is divided by n(45)?
34
Let x = -4648 + 18265. Calculate the remainder when x is divided by 15.
12
Suppose 5*b = 4*b - 1. Let d = -28669 + 28693. Calculate the remainder when 0 + b + 0 + 120 is divided by d.
23
Suppose -3*u - u + 370 = 2*z, -4*z + 704 = -u. What is the remainder when z is divided by 110?
67
Let j(f) = -f - 19. Let y be j(-18). Let w(n) = 20*n**2 + 4*n + 6. What is the remainder when 107 is divided by w(y)?
19
Let s = 32 + -30. Suppose -3*m + 5*k = -136, -3*m + 131 + 17 = -s*k. Calculate the remainder when m is divided by 14.
10
Let c(n) = -84*n**3 + 2*n + 1. Let s be c(-1). Let a = s - -51. What is the remainder when a is divided by 9?
8
Let u = -56 - -56. Suppose -15 = 5*n - 3*q, -n + 6*n + 3*q + 15 = u. What is the remainder when 47 is divided by (-6)/(-15)*(37 - n)?
15
Suppose -46*s + 3 = -47*s. What is the remainder when (4 - 0)/(3/(-99)*s) is divided by 9?
8
Let j = -546 + 239. Let r = j - -318. Calculate the remainder when 64 is divided by r.
9
Let p(i) = -i**3 + 17*i**2 + 8*i - 17. Let k be p(17). Suppose 26 = u - v - v, -v + k = 5*u. Calculate the remainder when 95 is divided by u.
23
Suppose 2*u = -690 - 178. Let w = -57 - u. What is the remainder when w is divided by 18?
17
Let g be (2/6)/(-11*(-5)/495). Suppose 2*f + g*m = 4*m + 123, f + 3*m - 72 = 0. What is the remainder when f is divided by 34?
29
Let t be (-4)/16 + (-23)/4. Calculate the remainder when (-1)/1*-8 + 100 is divided by (-64)/t - (-8)/(-12).
8
Suppose 0 = -5*r - 0*r + 1130. Let i(q) = 22*q - 42. Let c be i(2). What is the remainder when r is divided by (114/c)/((-81)/(-54))?
36
Suppose -3*y - 6 = -9*y. Suppose 4*v - 24 = -2*p, 5*p + 5*v - 49 = 1. Calculate the remainder when ((-42)/p)/(y/(-4)) is divided by 11.
10
Suppose -2*v = 5*t - 10, v = -4*v. Suppose 0*w = -t*w + 8. Calculate the remainder when (13/(-26))/((-2)/40) is divided by w.
2
Suppose 0 = -2*w - 2*j + 62, -2*w - 4*j = 24 - 80. What is the remainder when 255 is divided by w?
17
Suppose -3*o - 76 - 38 = 0. Let y = o - -67. Let u = 44 - y. Calculate the remainder when 43 is divided by u.
13
Suppose 8*s + 7*s - 525 = 0. Let v(d) = -d**2 - 4*d. What is the remainder when s is divided by v(-2)?
3
Let q be 37/(8 + (-132)/16). Let s = 183 + q. Calculate the remainder when s is divided by 9.
8
Suppose 3*q - 5*s = 39, -q - 4*s = -10 - 3. Let v(b) = -b + 40. Let t be v(31). Suppose -15 = t*m - 699. Calculate the remainder when m is divided by q.
11
Suppose -3*p + 46 = 1. Let z(u) = 13*u - 19. Let j be z(5). Let i(l) = 2*l - 50. Calculate the remainder when i(j) is divided by p.
12
Let z = 35 + 151. Let r(l) = l**2 + 141*l + 1789. What is the remainder when z is divided by r(-14)?
10
Suppose 2*p - 3*p = 3*a, 0 = 5*p - 2*a - 68. Suppose 0 = 29*f - 20*f. What is the remainder when 133 is divided by f/(-2) + p + 3?
13
Let v(j) = -87*j**2 - 643*j - 15. What is the remainder when v(-7) is divided by 204?
19
Let i = -216 + 309. Let q = 54 + -52. Suppose -4*n = -q*c + 54 - 2, -3*c - n + 78 = 0. Calculate the remainder when i is divided by c.
15
Suppose 28426*a - 22088 = 28404*a. Calculate the remainder when a is divided by 21.
17
Let r = 447 - 370. Calculate the remainder when r is divided by 34.
9
Suppose -3 = -2*g - 7. What is the remainder when 25 + (g - -4 - 2) is divided by (22 + -7 - 6) + -11 + 12?
5
What is the remainder when 950 is divided by 20/(-30) - (2 - 13790/30)?
36
Suppose 1448*s = 1277*s + 56943. Calculate the remainder when 1003 is divided by s.
4
Let y = 5154 + -4951. What is the remainder when 205 is divided by y?
2
Let y(w) = -w**3 + 29*w**2 - 26*w - 25. Suppose -2*x + 54 = -2*a, 5*x + 14*a - 143 = 11*a. What is the remainder when y(x) is divided by 19?
12
Let u(z) = z + 23. Let y be u(-19). Suppose 3*v - 2*v + 2 = -2*d, -4*d = v + y. What is the remainder when 15 is divided by 2 - (v - (1 - -3))?
3
Suppose -6*a + 4*a - 24 = 0. Let f be 7 + 7 - (-1 - 0). Let q = a + f. Calculate the remainder when 7 is divided by q.
1
Let l = 16 - -3. Let r(u) = 639*u - 20373. Calculate the remainder when r(32) is divided by l.
18
Let z = -1118 + 1112. Let d(l) = 25*l + 161. Let n(j) = j**2 - 2*j + 2. What is the remainder when n(-3) is divided by d(z)?
6
Suppose -2*a + 6372 = 6348. What is the remainder when 52 is divided by a?
4
Let h(p) = -p**3 + 9*p**2 - 19*p + 14. Let a be h(6). Suppose -j + 56 = 5*s - 42, 4*s - a = 0. What is the remainder when j is divided by 23?
19
Suppose -4*r + 147 = -213. Let j = r + -87. Suppose -f + 25 = 2*y, -3*f + 6*f = -j*y + 39. What is the remainder when 26 is divided by y?
2
Let v(k) = 8*k - 55. Let y(m) = 15*m - 109. Let q(x) = 5*v(x) - 2*y(x). Suppose -11*d - 26*d + 259 = 0. What is the remainder when 62 is divided by q(d)?
10
Let r = -271 + 200. Calculate the remainder when r*(-4)/(1 + 3) + 3 is divided by 65.
9
Let o be (-45)/(-25) - 2 - 7682/(-10). Suppose -16*q + 4*q = -o. Calculate the remainder when q is divided by 33.
31
Let d(t) = 89*t + 7294. What is the remainder when d(-80) is divided by 64?
46
Suppose -24*r + 408 = -20*r. Suppose 93*y - r*y = -513. Calculate the remainder when y is divided by 33.
24
Let p(f) = -3*f + 17. Suppose 192*w - 256*w + 16192 = 0. Calculate the remainder when w is divided by p(-5).
29
Let m = -3718 - -3744. Calculate the remainder when m is divided by 7.
5
Let x(p) = -2*p**2 - 60*p + 638. Calculate the remainder when 593 is divided by x(8).
23
Suppose -3*l - 6 = 6. What is the remainder when (-1568)/(-168)*((3 - -1) + -1) is divided by (-21)/l - 5/20?
3
Calculate the remainder when 8496 is divided by (0 - 0 - (-26 + 33))*(-40)/14.
16
Let y(o) = 3 - 6 + 162*o**2 + 0 + 27*o - 24*o. What is the remainder when y(1) is divided by 42?
36
Suppose -15*a + 13*a + 37 = m, 83 = 3*m - a. What is the remainder when 258 is divided by m?
26
Let o be 33*(3 - 30/(-18)). Suppose -153*q - 81 = -o*q. Calculate the remainder when q is divided by 28.
25
Let z = 9399 + -9369. Calculate the remainder when 1887 is divided by z.
27
Let w(j) = 11*j**3 - 4*j**2 + 5*j - 6. Let b be w(3). Let z = b + 39. Suppose -9*u + 69 = -z. Calculate the remainder when u is divided by 15.
12
Let k(w) = -21 - 2 + 6*w + 3 - 5. What is the remainder when 65 is divided by k(6)?
10
Let h = 81 + -79. Suppose 0 = -4*y + 2*g + 224, -y - h*y + g = -167. What is the remainder when y is divided by 1 + (2 - 1)*18?
17
Suppose -62*w = -4463 + 867. What is the remainder when 3131 is divided by w?
57
Let x = 