Let j be g(-6). Let u = j - 238. Let c = u - 100. What is the remainder when c is divided by 12?
9
Suppose -712 = -3*h + 152. Suppose 0 = -t + h + 264. Calculate the remainder when t is divided by 37.
34
Suppose 51*t - 9*t = -862 + 3046. Calculate the remainder when t is divided by 41.
11
Let f(q) = -q**3 + 6*q**2 + 7*q + 9. Let a be f(7). Suppose -5*z = -6*o + a*o - 132, 5*z - 3*o = 108. What is the remainder when 39 is divided by z?
15
Let a(i) = i**2 + 11*i - 2. Let z be a(-10). What is the remainder when -2 - (12621/(-133) - (-4)/(-38)) is divided by (-556)/z + (-2)/(-3)?
46
Let g = -1227 + 1361. What is the remainder when 2143 is divided by g?
133
Suppose 11*o - 16*o - 5*k = -880, 6 = k. Calculate the remainder when 4588 is divided by o.
168
Suppose 5*q - 4*n = -0*n + 112, -3*q + n + 70 = 0. Suppose -4*f + 10*f = q. What is the remainder when 109 is divided by (-132)/f*4/(-12)?
10
Let l be -135*(34*(-1)/(-6) + -6). What is the remainder when (l/10)/(3 + 981/(-330)) is divided by 35?
25
Let u be 420/(-60) + 4*4. Let s(w) = 5*w**2 - 42*w - 21. Calculate the remainder when 176 is divided by s(u).
2
Let r(n) = 2*n**2 - 62*n + 596. What is the remainder when r(33) is divided by 41?
31
Suppose -165*x - 113*x = -1390. Let a = -7 - -30. Suppose a - 7 = 2*o. Calculate the remainder when o is divided by x.
3
Let r(h) = -2*h**3 + 10*h - 667*h**2 + 1334*h**2 - 661*h**2 + h**3 - 44. Calculate the remainder when 350 is divided by r(6).
14
Suppose -9561 = 146*z - 64165. Calculate the remainder when z is divided by 17.
0
Let i be (-5)/(-20) - 15/(-4). Let a(w) = w + 1. Let r(t) = -2*t + 12. Let n(d) = 5*a(d) - r(d). What is the remainder when 123 is divided by n(i)?
18
Let t(h) = -49*h + 2. Let f be t(-1). Let j = 13 + -54. Let s = f + j. What is the remainder when s is divided by 3?
1
Let a = 21 + -21. Suppose -3*t - 6 = a, -c + 2*t = 4*c - 44. Let z(l) = -l**3 - 12*l**2 - 32*l + 15. Calculate the remainder when z(-8) is divided by c.
7
Let t be 76/22 + 114/209. Suppose -a = t*a + w - 487, 4*a = -w + 389. What is the remainder when a is divided by 60?
38
Let v(w) = 41*w - 3. Let i(y) = 8*y + 56. Let t be i(-7). Suppose t = 6*m - 5*m - 41. What is the remainder when v(4) is divided by m?
38
Let y(g) = 338 + 45*g**2 + 44*g + 55*g**3 - 54*g**3 - 329. What is the remainder when (12*2 - -2)/1 is divided by y(-44)?
8
Suppose 0 = 9*y + y - 130. Suppose 2*q + y = 31. Calculate the remainder when 114 is divided by q.
6
Let n = -4311 - -4336. Calculate the remainder when 185 is divided by n.
10
Suppose 3*c - 411*n = -412*n + 422, -3*c - 2*n + 418 = 0. Calculate the remainder when c is divided by 82.
60
Suppose 0 = -5*q + 82 - 7. Let m = -253 - -256. Suppose 2*z = -3*d + 65, -m*z + 99 = -14*d + 19*d. Calculate the remainder when z is divided by q.
13
Let l(n) = -4*n - 4. Let q be l(-1). Suppose -3*f + 3*x - 15 = q, -3*x = -2*f - 5*x - 14. What is the remainder when -3 - (-37 + 2 + f) is divided by 8?
6
Let s(d) = -24*d**2 + 100*d + 4. Let n be 615/165 + (-12)/(-44). Let u = 28 + -17. What is the remainder when s(n) is divided by u?
9
Calculate the remainder when 4101 is divided by 77638/38 - (8702/361 + -24).
15
Let i = -1 + 16. Let w = -208945 + 209151. Calculate the remainder when w is divided by i.
11
Suppose -13 - 1296 = -77*t. Let a(r) = 2*r - 2. Suppose -4*d = -0*d - 12. What is the remainder when t is divided by a(d)?
1
Suppose 0 = 90*b - 94*b - 16. What is the remainder when (162/4)/((-23)/b - 5) is divided by 8?
6
What is the remainder when 972 is divided by (50/75)/2*75*3?
72
Let f = -38 + 52. Suppose 10*z + 4*z - f = 0. Calculate the remainder when 47 is divided by z + 3 + -4 + (-21)/(-3).
5
Let j(a) = a**3 - 36*a**2 + 20*a - 649. Calculate the remainder when 1703 is divided by j(36).
70
Suppose 1477 = 34*w + 423. What is the remainder when 678 is divided by w?
27
Suppose 6*q + 4*q = q. Suppose q = 2*g - 8, 5*f = -49*g + 54*g + 55. Suppose -2*t + t = -6. What is the remainder when f is divided by t?
3
Suppose 2778 = 5*p - 1622. Suppose -4*c + h = -p, -1100 = -4*c - c - 3*h. Calculate the remainder when c is divided by 14.
10
Suppose 19*j + 4832 = 35*j. What is the remainder when j is divided by 28?
22
Let l = 5422 + -5365. Calculate the remainder when l is divided by 28/238 - 304/(-17).
3
Let a(b) = 3*b - 360 - 2*b + 392. Let o be a(-13). Calculate the remainder when 72 is divided by (2*(0 - o/(-2)))/1.
15
Let y = 40 - -15. Let r(h) = h**2 - 6*h - 132. Let f be r(15). Suppose 6*o - f*x - y = o, -5*x = 25. Calculate the remainder when 37 is divided by o.
5
Let m = -38 - 172. Let p = 240 + m. What is the remainder when p is divided by 10?
0
Suppose -i + 31 + 125 = 0. Calculate the remainder when 8*3*351/i is divided by 24.
6
Let t be 2/4*14/(-1). Let i(l) = -6*l - 1. Suppose a - 63 = -49. What is the remainder when i(t) is divided by a?
13
Let a = -525 - -747. Calculate the remainder when 545 is divided by a.
101
Let u = -2296 + 2432. What is the remainder when u is divided by 43?
7
Let i = -32 - -55. Let q be (3/2)/((-3)/(-8)). Suppose q*c = 221 + 131. Calculate the remainder when c is divided by i.
19
Let q be 3/(45/(-11) + 4). What is the remainder when 18 is divided by q/12*(-8 + 9)*-4?
7
Let c = 170 + -84. Calculate the remainder when c is divided by 14*(85/(-10) - -11).
16
Let p(a) = -45*a - 121. Let n be p(-22). Suppose 0 = 2*s - 6*s + 5*t + n, -t - 5 = 0. What is the remainder when s is divided by 43?
39
Let a be 5/((-125)/(-10))*5. Suppose 2*k - 4*i - 22 = 0, -19 = -a*k + 3*i + 5. Calculate the remainder when 67 is divided by 546/k - 2/5.
31
Let w be (1/(-3) - -1) + (-507)/(-117). Suppose 0*s = w*s - 335. Suppose -38*h + s = -37*h. Calculate the remainder when h is divided by 14.
11
Let p(i) = -4*i + 50. Let f be p(21). Let r = 21 + f. Let l = r - -19. What is the remainder when 26 is divided by l?
2
Let z(k) = -4*k - 23. Let t be z(-11). Let b be t/(-35) - (-4366)/10. Suppose -b = -4*s - 124. Calculate the remainder when s is divided by 17.
10
Suppose -2*h - y = 7, -4*y - 19 = 5*h - 3*y. Calculate the remainder when (2/(-6))/(7 - 2712/387) is divided by (h - (-56)/12)*18/4.
1
Let m(r) = -7 + 9*r**2 + 69*r - 10 + r**3 - 58*r. What is the remainder when 424 is divided by m(-6)?
24
Let a be (-74)/8 - (-6)/24. Calculate the remainder when 38 is divided by (6/(-21) + a/42)*-26.
12
Suppose 12*w = 22 + 98. Calculate the remainder when 187 is divided by w.
7
Let b(h) = -13*h**2 - h**3 - 10 + 4*h**2 + 3 - 9*h + 4. Let v be b(-8). Suppose -v*f + 45 = 4*f. What is the remainder when 10 is divided by f?
0
Suppose 10*b + 0*b - 1940 = 0. Let x = 388 - b. What is the remainder when x is divided by 53?
35
Let j = -2720 + 2773. Let p = -44 - -66. Calculate the remainder when j is divided by p.
9
Let t = -6436 + 6611. What is the remainder when 357 is divided by t?
7
Suppose 13*o = 4*o + 4419. Suppose 4*a + 3*p = o, 0*p + 3*p + 509 = 4*a. Let n = a - 17. Calculate the remainder when n is divided by 19.
13
Let p = 564 + -566. Calculate the remainder when (p + 0/(-6))*-79 is divided by 81.
77
Let s(x) = -4. Let c(m) = 4*m - 117. Let v(r) = c(r) + 6*s(r). What is the remainder when 174 is divided by v(38)?
9
Let x = 163 + -138. Let t(z) = 11*z**3 + 3*z**2 - z - 3. What is the remainder when t(2) is divided by x?
20
Suppose -j + 4*v = -25, 5*v + 0*v - 20 = 0. Suppose 0 = -z - 4 + 9. Suppose -5*g = -z, -3*k - 3*g + 44 = -4. What is the remainder when j is divided by k?
11
Suppose l - 277*c = -275*c + 877, 4*c = l - 881. What is the remainder when l is divided by 6?
3
Let t(b) = b**2 - 7*b + 30. Let y be t(10). Let u = 16 - y. Let g = u - -71. Calculate the remainder when 105 is divided by g.
24
Let q = -621 + 1113. Let v = 495 - q. Let f = 54 - 32. What is the remainder when f is divided by v?
1
Let a(d) = d**2 + 21*d - 29. Let g be a(-15). Calculate the remainder when (-4)/(-34) - 23548/g is divided by 20.
18
Let h = 349 - 329. Suppose o + 4 = 3*g - 4, -5*o = 5*g - h. Calculate the remainder when 5 is divided by g.
2
Suppose -4*f = -7*f - 2*r + 184, -5*r - 50 = -f. Let i(p) = -2*p**3 + 7*p**2 + 84*p + 168. Calculate the remainder when i(-5) is divided by f.
53
Let o(i) = 4*i**2 - 3*i - 10. What is the remainder when o(4) is divided by (195/(-26))/(1/(-4))?
12
Su