0. Let g = -80 + h. Suppose 0 = -g*r + 17*r - 100. Calculate the remainder when 37 is divided by r.
17
Let b be (-1988)/63*(-63)/14. Let t = b - 73. Calculate the remainder when 135 is divided by t.
66
Suppose -7*k + 629 = 342. What is the remainder when 287 is divided by k?
0
Suppose -4080 - 14274 = -38*i. Calculate the remainder when i is divided by 17.
7
Let v = 367 + 19. Suppose 0*x - v = -2*x. What is the remainder when x is divided by 28?
25
Calculate the remainder when (-18078)/(-46) + (0 - 8) is divided by 39.
34
Let u = -234 - -185. Let c = u - -107. Calculate the remainder when 172 is divided by c.
56
Suppose 16*m = -119 + 327. What is the remainder when 3739 is divided by m?
8
Let i = -7 + 14. Calculate the remainder when (-115)/460 - (-117)/4 is divided by i.
1
Suppose -2*d + 1302 = -7*d - q, 2*d - 4*q = -512. Let x = -211 - d. Calculate the remainder when x is divided by 18.
13
Suppose 3*k + 1071 = -3*f, -2*f + 735 = -4*f + 5*k. Let m = 547 + f. Calculate the remainder when m is divided by 27.
25
Suppose 0 = -99*c + 13*c - 19*c + 5460. Let q(t) = t**3 + 7*t**2 + 4*t - 5. What is the remainder when c is divided by q(-5)?
2
Suppose 42*k + 6*o = 44*k - 116, 5*k - 390 = -5*o. Suppose 107 = -3*p + 1187. Calculate the remainder when p is divided by k.
68
Suppose -3*l - r = -36, l + 3*r - 19 = 1. Suppose 0 = 3*b + 7*b + 310. Let a = b - -38. What is the remainder when l is divided by a?
4
Let g(d) be the first derivative of d**4/2 + 52*d**3/3 - 28*d**2 - 45*d - 245. Calculate the remainder when 29 is divided by g(-27).
2
Let n(u) = 306*u**2 + 501*u + 2. What is the remainder when 1636 is divided by n(1)?
18
Let u(j) = 70*j**2 - j + 1. Let h be 2/6*(-54)/(-9) - -16. Suppose 21*g = 22*g - h. What is the remainder when u(1) is divided by g?
16
Let w = -1927 - -1993. Calculate the remainder when 1713 is divided by w.
63
Suppose -32*h = -2*t - 35*h + 3904, h - 4 = 0. Calculate the remainder when t is divided by 11.
10
Let o be (378/(-84))/(3/(-82)). Let k = -81 + o. Let t = 18 + -9. Calculate the remainder when k is divided by t.
6
Let p = 18502 - 18210. What is the remainder when 571 is divided by p?
279
Let b(k) = -k**2 + 10*k + 5. Let u be 3/(1/4 - (-1)/12). Calculate the remainder when 96 is divided by b(u).
12
Let y = 44069 + -26683. Calculate the remainder when y is divided by 9.
7
Suppose 4*k - 9*k - 990 = 0. Suppose -12*x + 5*x = -22*x - 1845. Let c = x - k. Calculate the remainder when c is divided by 11.
9
Calculate the remainder when 600 is divided by 1257/(-419) + (2/(-4))/((-2)/1180).
16
Let n = 48 - -2. Let v(o) = -64*o - 2. Let h be v(-1). Suppose -7*g + h = -n. Calculate the remainder when 125 is divided by g.
13
Let c = -1 - -8. What is the remainder when (2/20)/(2/1084) + (-224)/1120 is divided by c?
5
Let a = 6367 - 4403. What is the remainder when a is divided by 123?
119
Let v be 168/(-112)*(14/(-6) - -1). What is the remainder when 39 is divided by 464/24*3/v?
10
Let w(z) = -z**2 - 13*z - 31. Let c be w(-6). Let o(n) = 3*n - 19. What is the remainder when 362 is divided by o(c)?
12
Suppose 4*z - 31 + 6 = -1. Calculate the remainder when 775 is divided by z.
1
Let n(c) = 2*c**2 - 72*c + 1302. What is the remainder when n(24) is divided by 35?
26
Suppose 5*j - 91 + 224 = 3*u, -3*j = 2*u - 76. Suppose 5*m - 61 = -2*z, -2*z = -3*z - 3*m + 31. Let v = u - z. Calculate the remainder when 90 is divided by v.
12
Suppose 12515 = 2*i + 3*u, -4*i + 25051 = 56*u - 53*u. Calculate the remainder when i is divided by 11.
9
Let i(p) = -3*p + 6. Let y(w) = -w + 3. Let c(q) = -3*i(q) + 5*y(q). Let x be c(2). Suppose -103 = -4*u + x. Calculate the remainder when u is divided by 15.
12
Suppose 133*a - 117*a - 928 = 0. Calculate the remainder when 262 is divided by a.
30
Let x(u) = -6*u**2 - 2*u**3 - 6*u - 2*u**2 + 17 + 3*u**3. What is the remainder when x(9) is divided by 15?
14
Suppose 5944*r - 6033*r + 2047 = 0. Let k(b) = b**3 + 2*b**2 + 3*b - 1. What is the remainder when k(9) is divided by r?
20
Let b(f) = 5*f - 6. Let t be b(2). Suppose t*x - 2*a - 64 = 2*a, 0 = -x - 2*a + 25. Calculate the remainder when x is divided by 11.
8
Suppose 140 = 4*z + 2*d, -3*z + 6*d + 118 = d. Suppose 6*w = z + 12. Suppose -m + 69 = -0*m. Calculate the remainder when m is divided by w.
5
Suppose 68*i = 48*i - 11700. Let y = i + 635. Let h(c) = -15*c**3 - 2*c**2 + 1. Calculate the remainder when y is divided by h(-1).
8
Let t = -83 + 113. What is the remainder when 7 - t/6 - (-2 + -44) is divided by 10?
8
Let w = 535 + -474. Suppose 1 = -o + 3*m, -3*o + 3*m + 67 = 8*m. Calculate the remainder when w is divided by o.
5
Let u(k) = -23*k**3 - 345*k**2 - 7*k - 63. Calculate the remainder when u(-15) is divided by 1.
0
Let g be 0/(-7*-3*1/21). Suppose g = -28*m - 33 + 89. Calculate the remainder when 86 is divided by m.
0
Suppose 645 = 5*y + 5*p, 1 + 608 = 5*y - 4*p. Suppose 0 = -2*c - 0 + 46. Calculate the remainder when y is divided by c.
10
Let d(p) = 3*p**2 - 15*p - 25. Let b be d(6). Calculate the remainder when 46 is divided by 0 - (3 + -9 + (-10 - b)).
1
Let t(q) = 5 + 33 + 9 + 10 - 6*q. Suppose -5*u - 5*l = -165, 4*l = -3*u - 0*l + 95. What is the remainder when u is divided by t(7)?
7
Let b(i) = 3*i**2 + 14*i + 85. Calculate the remainder when b(-9) is divided by 200.
2
Suppose -4*o = 12, -190*u + 189*u - 2*o + 127 = 0. Calculate the remainder when 137 is divided by u.
4
Let k = -2 - -16. What is the remainder when 112 is divided by 230/6 - (k/3)/(-7)?
34
Let n(b) = -b**2 - 50*b - 15. Suppose -2*q + 3*d - 39 = 0, -2*q = -5*q - 2*d - 52. Let t = q + 23. What is the remainder when n(-49) is divided by t?
4
Suppose -2*g + 2*z = -3516, -5*g - 27*z = -23*z - 8862. Calculate the remainder when g is divided by 57.
56
Let l(d) = -3*d - 19. Let k = 76 - 86. Let y be l(k). Suppose 6*u - y*u = -235. What is the remainder when u is divided by 13?
8
Suppose p - 157 = -4*w + 8, -5*w + 4*p = -180. What is the remainder when (45/(-5) + 12)*w is divided by 4?
0
Let r(z) = 15*z - 68. Let j be r(-5). Let m = j - -259. What is the remainder when m is divided by 61?
55
Suppose 6*d - 11*d + 3*z + 34 = 0, 4*z - 3 = -3*d. Suppose -4*n - 6 = f - 55, d*f + 4*n - 213 = 0. Calculate the remainder when f is divided by 14.
13
Let a = -326 - -482. What is the remainder when a is divided by (280/16 + -12)/(4/24)?
24
Let n(i) be the first derivative of i**4/2 - 7*i**3/3 + 26*i**2 + 4*i - 200. Calculate the remainder when n(5) is divided by 11.
9
Suppose -8193*a = -8188*a - 370. What is the remainder when 1328 is divided by a?
70
Let s = 94 + -92. Let r be s - (2 + -231 - -1). Let g = -153 + r. Calculate the remainder when g is divided by 13.
12
Let x(g) = -6*g**2 - 1670*g - 554. Calculate the remainder when (18/8)/(2/16) is divided by x(-278).
0
Suppose 291*q - 296*q - 45 = 0. What is the remainder when q/(-1)*(-560)/(-42) is divided by 32?
24
Suppose 2*n - 59 = -11. Suppose 3*d + 51 - 531 = 3*x, -x = -2*d + 157. Let u = -94 - x. Calculate the remainder when u is divided by n.
21
Let q = 11 + 19. What is the remainder when 814/16 + -8*(-9)/576 is divided by q?
21
Suppose -38*r - 5 = -39*r. Suppose -5*j + 310 = -5*m, 0*m = 2*j - r*m - 139. Calculate the remainder when j is divided by 5.
2
Let v(i) = -i**3 + 46*i - 86. What is the remainder when 5032 is divided by v(5)?
16
Suppose 6*p = -75 + 27. Suppose 5*r + 4*v = 67, 0*v + v + 32 = 2*r. Calculate the remainder when p/24*-132*(-2 + 3) is divided by r.
14
Suppose -d - 577 + 530 = -z, -z = -2*d - 43. Calculate the remainder when 1984 is divided by z.
46
Let v(p) = 32*p + 77. What is the remainder when v(0) is divided by 51?
26
Suppose -2*w + 2065 = s - 802, 2*s - 1435 = -w. What is the remainder when w is divided by 470?
23
Suppose -z + 5*p - 4 = 0, 2*z - 4*p = 3*z - 23. What is the remainder when ((-120)/(-672))/(5/20)*(2 - -19) is divided by z?
4
Suppose 477 + 219 = 13*c + 254. Calculate the remainder when 237 is divided by c.
33
Let y = 418 - 413. Suppose -108*p + 16 = 2*q - 103*p, 0 = 4*q - y*p - 92. What is the remainder when 103 is divided by q?
13
Suppose -644 + 366 = -3*d + 1441. Calculate the remainder when d is divided by 24.
21
Let m(x) = -30*x**3 - 2*x**2 - 12*x + 13. Let f be m(-8). What is the remainder when f/203 - 8