*3 + 33*i**2 + 53*i + 22. What is the remainder when 342 is divided by c(-9)?
1
Suppose 21*m = 9*m - 84. Suppose 5*b + 1 = -4*z + 14, 15 = 5*z + 5*b. What is the remainder when (1462/(-119) - z/m)*-7 is divided by 22?
18
Suppose 0 = -3*g - l - 16, 18 = -g - 3*g + 2*l. Calculate the remainder when 642/g*(-25)/10 is divided by 18.
15
Let u(q) = 4*q**3 + 2*q**2 - 4*q + 2. Let b(c) = 5*c**3 + c**2 - 3*c + 4. Let o(f) = 5*b(f) - 6*u(f). Calculate the remainder when 492 is divided by o(7).
66
Suppose 10*n + o = 5*n + 868, 5*n - 4*o - 878 = 0. Let l = 480 - n. What is the remainder when l is divided by 44?
42
Let u(r) = 2*r**3 + 22*r**2 - 13*r + 136. Let f = -2 - -6. Calculate the remainder when u(-12) is divided by f.
0
Suppose 1140 = 90*h - 85*h + 5*o, -h - 2*o + 229 = 0. Calculate the remainder when h is divided by 24.
11
Suppose 3*v - 7*c + 2*c - 1216 = 0, 4*v + 3*c - 1631 = 0. Suppose -5*t + 315 = -95. Calculate the remainder when v is divided by t.
79
Let u = 27 + -22. Suppose -u*n - 295 = -5*h, 0*h - 212 = -4*h - 2*n. What is the remainder when h is divided by 4?
3
Let g(k) = -k**3 - 27*k**2 - 75*k - 39. What is the remainder when g(-24) is divided by 25?
8
Suppose -4*y - 248 = a - 4*a, 5*y + 177 = 2*a. Suppose -3766 = -4*q - 1350. What is the remainder when q is divided by a?
72
Suppose 36*j = 33*j + 87. Suppose j*b - 32 = 25*b. Calculate the remainder when 37 is divided by b.
5
Let o = 2574 + -2512. Calculate the remainder when o is divided by (-6)/(-8) - 243/(-12).
20
Let d be 218/(((-14)/3)/7). Let i be d/(-12) + -1*(-3)/(-12). Suppose -6 + i = 7*q. What is the remainder when 7 is divided by q?
1
Suppose -d - d + 10 = 3*l, 5*l - 10 = -2*d. Let p be ((-6)/(-8))/((-2)/8). Calculate the remainder when 1/p + (-68)/(-6) is divided by d.
1
Let b(o) = 15*o - 37. Let a = 2512 + -2493. Calculate the remainder when b(12) is divided by a.
10
Let c be -1*5/1*220/(-25). Suppose 0 = 4*u - 2*o - 54, -u - c = 3*o - 61. Suppose -26 = w - 79. Calculate the remainder when w is divided by u.
11
Suppose -13*h - 1222 = -8892. What is the remainder when h is divided by 37?
35
Let u(g) = -g**2 + 5*g + 5. Let r be u(5). Suppose 2*s - 154 = 3*h - r*h, 0 = h - s - 67. Let p = -24 - -49. What is the remainder when h is divided by p?
22
Let n(x) = x**2 - 6*x + 9. Let c be n(5). Suppose -j + c*g + 2 = 7, -5*g = -5*j + 20. What is the remainder when 14 is divided by 6/8 + (j - (-33)/(-12))?
4
Let j(v) = 10*v**2 + v. Let f(l) = 2*l**2 - 36*l + 60. Let s be f(18). Calculate the remainder when j(-3) is divided by 2635/s - (-2)/24.
43
Let a(n) = -n**3 - 73*n**2 - 19*n - 165. Calculate the remainder when a(-73) is divided by 34.
32
Calculate the remainder when (2*(-37)/3)/(19662/(-819) - -24) is divided by 54.
19
Let i be 22 + -1 + (-3 - -6). Suppose 399 = -5*m + i. Calculate the remainder when 359/3 + m/45 is divided by 24.
22
Let w = 29 - 7. Calculate the remainder when -9*(-34)/10*5*2/9 is divided by w.
12
What is the remainder when (-10)/4*(6244/(-35) + 0) is divided by 133?
47
Suppose -1 = v, 3*a + 3*v = 4 + 2. Suppose -10*j + 896 = -a*j. Calculate the remainder when j is divided by 33.
29
What is the remainder when 0 + -2 + 7/(-1) + 675 + -3 is divided by 97?
81
Suppose 328*f - 13839 - 6363 = 106*f. What is the remainder when f is divided by 0 + -1 + 1 + 48?
43
Let s(p) = 190*p + 4. Let d be s(1). Suppose -630 = -4*b + d. Calculate the remainder when b is divided by (5 - (-51)/(-9))*-78.
50
Let u(l) = 3484*l - 255. What is the remainder when u(1) is divided by 101?
98
Calculate the remainder when ((-86400)/(-18))/16 + 2 + -11 is divided by 160.
131
Suppose 2*v = 6*v - 168. Let x(f) = 3*f + 55. Let h be x(-18). Calculate the remainder when v is divided by (h/3*-3)/((-1)/11).
9
Suppose 0*n + 5*a = -n + 10, -5*n + 73 = 2*a. Suppose -21*f - 341 + 26 = 0. Let m(k) = -k**2 - 19*k - 33. What is the remainder when m(f) is divided by n?
12
Suppose 3*y - n + 52 = 110, -4*y + 78 = -n. What is the remainder when 229 is divided by y?
9
Suppose -10*m + 93 + 517 = 0. Let d = -46 - -35. Let g = d - -19. Calculate the remainder when m is divided by g.
5
Suppose 0 = -4*t + 3*t - 4*a + 21, 4*t = -4*a + 24. What is the remainder when (0 + t)*-8 + 600 is divided by 27?
25
Suppose -4*b = -4*x - 4, 0*b - 3*b = -4*x + 1. Suppose x*u = -5*n + 84, -u = -3*n + 6*n - 28. What is the remainder when u is divided by 9?
7
Let s(t) = 19*t - 3. Let p be s(2). Suppose 14*g + 315 = -63. Let o = p + g. Calculate the remainder when 37 is divided by o.
5
Let t be (-15*6/27)/(4/(-54)). Let a be (4 - t/12)*12. Calculate the remainder when 810/24 + a/12 is divided by 22.
12
Suppose h = -2*h + 12. Suppose -1953 - 379 = -h*v. Suppose -5*z - s = -v, 2*s = 3*z + 4*s - 347. Calculate the remainder when z is divided by 30.
27
Let j(d) = -361*d + 10. Let z be j(1). Let h = -307 - z. Calculate the remainder when h is divided by 15.
14
Let c = 230 - -5. Suppose 5*p - 5*k = 245, -c = 2*p - 7*p + 3*k. Calculate the remainder when p is divided by 9.
8
Suppose i - 5*f - 89 = 0, -4*i + 0*f = -5*f - 266. What is the remainder when 3535 is divided by i?
54
Suppose -2*l + 0*l - 4*g = 8, l - 2*g = 4. Suppose 420 = -l*y + 3*y. Suppose 6*t - y = 154. What is the remainder when t is divided by 10?
9
Suppose m = n + 624, -3*m - 3*n = 2*n - 1832. Suppose 12*k = m + 209. What is the remainder when 481 is divided by k?
67
Suppose -4*j + 210 = f - 6*f, -2*f = -j + 54. What is the remainder when j is divided by 45/20*4 + 4?
11
Let b = 146 + -73. Let o = -49186 - -49224. What is the remainder when b is divided by o?
35
Let v(g) = -4*g + 45. Let k be v(6). Suppose 5*j = z + 5, 5*z - k = 2*j - 0*j. What is the remainder when 10 is divided by j?
0
Calculate the remainder when ((-56)/(-4) - -112)*(6 - -93) is divided by 16.
10
Let d be -1 + 7/4 - (-455)/(-52). Let t(n) = n**3 + 8*n**2 - 7*n + 14. Calculate the remainder when t(d) is divided by 9.
7
Let t = -23321 + 24588. Calculate the remainder when t is divided by 39.
19
Suppose 0 = -w - w - 2, -2*w = 2*r - 162. Suppose -16*t + 30*t - 70 = 0. Suppose t*o - 3*o = r. Calculate the remainder when o is divided by 23.
18
Let l = -47 - 364. Let d = l + 448. What is the remainder when d is divided by 19?
18
Let k(o) = o**2 - 43*o - 506. Calculate the remainder when k(-25) is divided by 197.
12
Suppose -6*n - 2484 = -9342. What is the remainder when n is divided by 36?
27
Let q(d) = -260*d - 1423. Calculate the remainder when 362 is divided by q(-6).
88
Suppose 4*m + 12172 + 2067 = 5*j, -3*m - 14238 = -5*j. What is the remainder when j is divided by 75?
72
Let a(m) = -536*m + 858. Calculate the remainder when a(-3) is divided by 410.
6
Let c(r) = -r**2 - 14*r + 30. Let x be c(-15). Suppose x*l - 24 - 36 = 0. Calculate the remainder when (-2)/l*2*(-41)/1 is divided by 11.
8
Suppose -31*j - 15*j - 40*j = -55728. What is the remainder when j is divided by 130?
128
Let p(t) = -t**2 + 8*t - 5. Suppose -1 = a - 7*q, 4*a - 230 = -7*q + 9*q. Calculate the remainder when a is divided by p(6).
6
Let q = 1283 - 2015. Let g(m) = -3*m**3 - m + 2. What is the remainder when g(-2) is divided by (-14)/(-161) - q/46?
12
Suppose -2*l - 5*h = -139, -l = 2*h - 6*h - 76. What is the remainder when 311 is divided by (75 - l)*13/3?
12
Let t(a) = 25*a**2 + 80*a - 11. What is the remainder when t(-5) is divided by 108?
106
Suppose 0 = -3*o, -2*l - o - 104 + 316 = 0. Suppose 982 = -127*f + 3051 + 1360. Calculate the remainder when l is divided by f.
25
Calculate the remainder when 4 + 150*3/((-21)/(-238)) is divided by 37.
35
Let z(l) = -1797*l - 1489. What is the remainder when z(-4) is divided by 163?
157
Let d = 87 - -14. Let o = 56 - d. Calculate the remainder when 75 is divided by -3*395/o + 1/(-3).
23
Suppose 8*d - 827 = -35. Suppose d*c - 98*c + 25 = 0. Let m = -17 - c. What is the remainder when m is divided by 3?
2
Let f = -2821 - -3187. What is the remainder when f is divided by 76?
62
Let y(i) = i**3 - 4*i**2 - 6*i - 32. Let o be y(6). Suppose b - 58 = -o*b + 3*q, 2*q = -3*b + 31. What is the remainder when 30 is divided by b?
8
Suppose 222 = -10*k + 812. What is the remainder when 172 is divided by k?
54
Let r = -11 - -11. Suppose 7*o - 4*o - 129 = r. Suppose 5*b = -4*d + o, -3*d + 1 = -5. What is the rema