 19. Let f be z(8). Suppose 5*h = -l - 1, l + 5*h = -2*l + 27. What is the remainder when 246/4*(f - -23) is divided by l?
11
Let q(j) = j**2 + 8*j + 144. Let k be q(-12). Let c = k - 143. Calculate the remainder when c is divided by 13.
10
Let i(h) = -14*h - 37. Let v = 106 - 113. Let z be i(v). Suppose -2*o + 5 = -z. Calculate the remainder when o is divided by 2.
1
Let x(q) = 27*q - 239. Let b be x(-10). Let f = -372 - b. What is the remainder when f is divided by 41?
14
Suppose 0 = -4*x - 4*f + 5844, 0 = 5*x - 2*f - 7805 + 528. Calculate the remainder when x is divided by 81.
80
Let j(i) = 107 - 74 + 9*i - 76. Calculate the remainder when 93 is divided by j(7).
13
Let d be ((-6)/7)/((-42)/6762). Let c = d + -128. What is the remainder when c is divided by 3?
1
Calculate the remainder when 117 is divided by -1 - (9 + -13) - -10.
0
Let y = 1147 - 1067. Calculate the remainder when y is divided by 5.
0
Let v(k) = k**2 + 5*k + 18. Suppose -c + 46 = -3*s, -2*c = -s - 3*s - 64. What is the remainder when v(s) is divided by 73?
71
Let b(y) = y**2 + 131*y - 980. Calculate the remainder when 529 is divided by b(8).
1
Suppose 0 = -4*y + 5*f + 270, 335 = 5*y - f - 4*f. Let j = -190 - -315. Calculate the remainder when j is divided by y.
60
Let t(w) = 21*w + 16*w + 0 - 2 + 12. Let o be t(-8). Let k = -158 - o. Calculate the remainder when k is divided by 26.
24
Let o = -89 - -94. Suppose 12*r - 8*r - 3*q = 203, o*q + 25 = 0. Calculate the remainder when r is divided by 3/(-3) - (-3 - 20/2).
11
Let t = -2309 - -2323. Calculate the remainder when 3807 is divided by t.
13
Suppose -2*o + 235*p + 76 = 237*p, 2*p + 200 = 4*o. What is the remainder when 631 is divided by o?
33
Suppose 101*f + 12*f = 1582. Calculate the remainder when 2977 is divided by f.
9
Let h(v) = v**2 + 18*v + 60. Calculate the remainder when h(-22) is divided by 5/(-1)*589/(-155).
15
Let a = 3753 + -3696. Calculate the remainder when 300 is divided by a.
15
Let c = 15606 + -15530. What is the remainder when 2961 is divided by c?
73
Suppose 86*n = 69*n + 2227. Calculate the remainder when n is divided by 66.
65
Suppose 255*o + 254*o - 726 = 498*o. What is the remainder when 283 is divided by o?
19
Let t = -327 - -706. Let v = 14343 - 14320. Calculate the remainder when t is divided by v.
11
Suppose 0 = -4*u - 16 + 48. Let r(j) = -5*j**2 - 7*j + 50. Let q be r(4). What is the remainder when q/(-174) - (-142)/6 is divided by u?
0
Suppose -4*s + 21 = 5. Let x be (4/(-12) + 92/6)*7. Suppose -6*n = -x - 27. Calculate the remainder when n is divided by s.
2
Suppose 3 = -v + 6. Suppose v*k = -4*k + 147. Suppose 3*z = -2*n + 87, 0 = -8*n + 13*n + 3*z - 204. Calculate the remainder when n is divided by k.
18
Let z(d) = 2*d**3 + 14*d**2 - 4*d - 78. Calculate the remainder when z(6) is divided by 24.
18
Let o = 94 - 51. Let n = 282 + -292. Let r(a) = 2*a**3 + 20*a**2 - 22*a - 8. Calculate the remainder when r(n) is divided by o.
40
Let w be (813/2)/((-18)/(-168)*-1). What is the remainder when w/(-11) - 5*(-9)/495 is divided by 71?
61
Suppose -h + 96 = 2*q + q, 0 = -h. Suppose -3*s + 103 = -q. Calculate the remainder when 4 - ((-1)/(-1))/(1/(-83)) is divided by s.
42
Suppose 1548 = 4*c + 2*d, 3*d - d = c - 392. Let b = c + -288. What is the remainder when b is divided by 17?
15
Suppose 147*l - 9702 = 21*l. Calculate the remainder when 109 is divided by l.
32
Suppose 5*t - 19 = 4*t. Suppose -56 = 52*o - 60*o. What is the remainder when t is divided by o?
5
Let l(c) = -13*c**2 + 18*c - 11. Let z(t) = 14*t**2 - 19*t + 13. Let s(u) = -6*l(u) - 5*z(u). What is the remainder when s(-3) is divided by 19?
17
Suppose 5*c = 4*c + 61. Let r = 42 - 38. Suppose 0 = -5*i + u + 85, -r*i + 3*u = -3*i - 31. What is the remainder when c is divided by i?
13
Calculate the remainder when 0 - -1 - (-22 - 6)/((-12)/(-2034)) is divided by 132.
127
Let h(w) = -10*w - 1. Suppose -2566 = -32*p - 294. What is the remainder when p is divided by h(-2)?
14
What is the remainder when 1815 + -3*(-12)/6 is divided by 19?
16
Suppose -2*f - 40 = -6*f. Suppose -3*u = 4*m - u - 30, m + 4*u + f = 0. Suppose -3*k - 511 = -m*k. Calculate the remainder when k is divided by 26.
21
Suppose -94018 = -34*h - h + 33662. Calculate the remainder when h is divided by 41.
40
Let g = -286 - -409. Suppose -204 = -4*p - 92. What is the remainder when g is divided by p?
11
Let c(p) = 2*p + 8. Let m = 46 + -42. Let o be c(m). Suppose -o = -d - 0*d - j, 71 = 4*d - 3*j. What is the remainder when d is divided by 5?
2
Let i(n) = 0*n - n + 10 - 22*n. Let d be i(-8). Suppose 5*b = d - 9. What is the remainder when b is divided by 13?
11
Suppose -9 + 15 = 2*z. Let w = 1909 - 1887. What is the remainder when w is divided by z?
1
Let n(g) = 61*g**2 + 1. Let u = 13322 - 13143. Calculate the remainder when u is divided by n(1).
55
Let c(k) = -k**2 + 15*k + 39. Let w be c(17). Suppose 0 = -x - 2, -3*b - w*x - 10 = -8*b. Calculate the remainder when 26/2 - b - 60/20 is divided by 5.
0
Let l(v) = -10*v. Let k(i) = -3*i**2 - 27*i - 11. Let w be k(-9). Calculate the remainder when l(-7) is divided by (w/2 + 6)*36.
16
Let m(a) = a**3 - 19*a**2 + 2. Let q be m(19). Suppose q*n + 81 = 3*n. Calculate the remainder when n is divided by 29.
23
Let y = 214 - 218. Calculate the remainder when 88 is divided by (-77)/(-99) - -9 - y/18.
8
Suppose -3*y + 5*u = -394, 5*y - 3*u - 706 = -7*u. Let z be 142/4*(99/(-11) - -13). Let v = z - y. What is the remainder when 8 is divided by v?
0
Let g(a) = 16*a**2 - 33*a**2 + 18*a**2 + 29*a + 129. Calculate the remainder when g(0) is divided by 45.
39
Let a = 383 - 322. Let n = 164 - a. What is the remainder when n is divided by 21?
19
Suppose 0 = -2*r + 2*z + 48 + 252, -2*r + 300 = 5*z. What is the remainder when r is divided by 9?
6
Suppose 0 = -90*z + 93*z + 48. Let k(x) = -x**3 - 17*x**2 - 15*x + 22. What is the remainder when 94 is divided by k(z)?
4
Let m = 209 + -153. Let q = -225 + 332. What is the remainder when q is divided by m?
51
Suppose -2*g = -3*j - 9, 6 + 24 = -3*j - 5*g. Suppose 907 = 5*f + 3*d, 5*f = -4*d - 0*d + 906. What is the remainder when f is divided by 3 - (185/j - 6)?
44
Suppose 118*j + 10409 = 32475. Calculate the remainder when 1280 is divided by j.
158
Let p(z) = -z**2 + z - 57. Let a be p(20). Let b = -432 - a. Calculate the remainder when b is divided by (6/(-1))/(3/(-2)).
1
Let t = -26 - -48. Suppose -36 = 2*o - 3*i - 176, o = 4*i + 85. Calculate the remainder when o is divided by t.
17
Suppose -2*x - 126 = -4*m, -2*m - 45 + 114 = -3*x. Suppose 0 = -6*y + 11*y - 220. Calculate the remainder when y*(4 - (0 - -2)) is divided by m.
28
Suppose 12*v - 240 = 16*v. Let k = v - -73. Let b = 96 + -48. Calculate the remainder when b is divided by k.
9
Suppose 3 - 25 = -g. Let o(w) = -w**3 + 4*w**2 + 6*w - 8. Let x be o(6). Let s = -39 - x. Calculate the remainder when g is divided by s.
2
Suppose -5*d + 578 = -2*g, 0 = -5*g - 2*d + 7*d - 1415. Let w = -129 - g. Calculate the remainder when w is divided by 52.
46
Let m be ((-14)/70 - (-18)/(-10)) + 14. Suppose -40 = -m*o + 68. Calculate the remainder when 18 is divided by o.
0
Suppose 2*i + 4*p - 7560 = 0, -5*i = -14*p + 16*p - 18940. What is the remainder when i is divided by 12?
10
Let t(z) = -509*z - 2638. What is the remainder when t(-6) is divided by 22?
20
Let y be 2 - (-1 + (1 - 1)). Suppose -3*w + 156 = -y*h, 72 = w - 0*w - 5*h. Calculate the remainder when w is divided by 8.
7
Suppose 2*b + 6*b - 28*b + 640 = 0. Calculate the remainder when b is divided by (3/(-2))/((-3)/6).
2
Suppose 15*x = -12*x + 135. Suppose i + y - 12 = 0, -x*y + y - 4 = 0. Calculate the remainder when 32 is divided by i.
6
Let j = -50 + 67. Suppose -8*o - 3*f = -4*f - 373, -3*f = -9. Calculate the remainder when o is divided by j.
13
Let j(u) = 3*u**2 - 10*u + 1. Suppose 4*z + 2*g = 24, 0 = z + 2*g + g - 16. Let y be j(z). Let x = 2 + y. Calculate the remainder when 27 is divided by x.
5
Let a = -36 - -30. Suppose 8*p = -8*p + 752. Calculate the remainder when p is divided by (-18)/(-12) - 69/a.
8
Let u = 932 + -788. Calculate the remainder when 544 is divided by u.
112
Suppose f + 6 = -33. Suppose 12 = -3*h, -3*z + 10*h = 15*h + 53. Let u = z - f. Calculate the remainder when u is 