
Let h(a) = -a**3 - 32*a**2 - 4*a - 124. Let s be h(-32). Suppose 0 = -4*k - s*w + 192, 2*k - 4*w - 26 = 46. Calculate the remainder when 180 is divided by k.
4
Let f(p) = 14*p - 1. Let a(q) = q + 1. Let j(x) = -2*a(x) - f(x). What is the remainder when (-1)/(468/24 + -4) + (-1678)/(-62) is divided by j(-1)?
12
Let z = 1580 - 1576. Calculate the remainder when 113 is divided by z.
1
Let o = -74 + 65. Let r(j) = -j**3 - 7*j**2 + 9*j - 4. Let y be r(o). Suppose -y*v + 73*v + 80 = 0. What is the remainder when 35 is divided by v?
15
Let z(n) = 28*n - 2. Let i be z(-3). Let b = 647 - 549. Let o = i + b. What is the remainder when 58 is divided by o?
10
Let u(o) = -35*o - 28. Let y be 0/1 - (-6)/72*-12. Calculate the remainder when 53 is divided by u(y).
4
Let z(n) = -127*n - 842. Calculate the remainder when 468 is divided by z(-7).
45
Let f(s) = s**3 + 8*s**2 - 13*s - 5. Let v = -4049 + 4057. What is the remainder when f(-9) is divided by v?
7
Let a = -186 - -189. Calculate the remainder when a/(45/(-250))*-3 is divided by 501/33 - 6/33.
5
Suppose -f + 2*v + 37 = 0, 0 = f - 7*v + 3*v - 47. Suppose -2*z + 145 = 53. Suppose 44*d + 8 = z*d. Calculate the remainder when f is divided by d.
3
Suppose 0*x - 2*y + 2123 = 9*x, 0 = -3*x - 5*y + 725. Calculate the remainder when 398 is divided by x.
163
Let b(n) = 3*n**2 - 11*n - 23. Let z be b(-7). Suppose 913*r - 910*r - z = 0. What is the remainder when 198 is divided by r?
64
Suppose -1263 = -13*b + 180. Let j = -96 + b. Calculate the remainder when 74 is divided by j.
14
Let i(p) = 156*p**2 - 33*p + 61. Calculate the remainder when i(2) is divided by 23.
21
Let i = 16468 + -16171. Let d = 6 + 44. Calculate the remainder when i is divided by d.
47
Let r = 277 - 178. What is the remainder when r is divided by 1/(-2) + 13/(-234)*-531?
12
Suppose -23*s + 188*s - 84*s = 2862378. Calculate the remainder when s is divided by 190.
188
Suppose 194*d + 29*d = 6021. Calculate the remainder when 33 is divided by d.
6
Suppose -23*s + 18*s = 5, 4*b + s = 23. What is the remainder when (-14)/21*(-189)/b is divided by 4?
1
Suppose -1045 = -8*w + 5523. What is the remainder when w is divided by 34?
5
Let m(f) = -21*f**2 - 15*f + 91. Calculate the remainder when 1991 is divided by m(0).
80
Suppose -18*p - 76 = -544. What is the remainder when 21 is divided by -9 - (-238)/p - 152/(-26)?
3
Let x = -20 + 43. Let s = 159 - 86. Suppose l = -3*h + s, -2*l = -h - 0*h - 181. Calculate the remainder when l is divided by x.
19
Let s be (1/3)/(2/6). What is the remainder when 47 + s + -1 + 0 is divided by 12 - 1 - (-165 + 158)?
11
Suppose 1203 = 14*f + 15*f - 276. Calculate the remainder when 4344 is divided by f.
9
What is the remainder when ((-2847)/6)/((-168)/672) is divided by 95?
93
Suppose 713 = -9*n + 1748. Let i = -31 - -52. What is the remainder when n is divided by i?
10
Suppose 0 = 5*h + 3*h + 1232. Let p = h - -343. Calculate the remainder when p is divided by 8.
5
Let x(o) = o**3 - 8*o**2 - 77*o + 648. Let f(q) = -8*q + 20. What is the remainder when f(-10) is divided by x(8)?
4
Suppose 128*q = 16436 - 3508. What is the remainder when q is divided by 2?
1
Let v = 166 - 161. Suppose 4 = -v*c + 99. What is the remainder when 93 is divided by c?
17
Suppose -502 - 1900 + 728 = -27*z. What is the remainder when z is divided by 15?
2
Suppose -5*v + 313 = k, 2*v - 127 - 3 = 2*k. Calculate the remainder when 318 is divided by v.
3
Let r be ((-73)/12*-3)/((-1)/4). Let m = r - -252. What is the remainder when m is divided by 37?
31
Suppose i - 6 = -2*u - 31, -97 = 5*i - 4*u. Let s(k) = -k**3 - 21*k**2 - 6*k - 97. What is the remainder when 173 is divided by s(i)?
28
Suppose -2 = -3*v - 17, g + 5*v = -25. Suppose 2*l - 49 = -g*i - 3*i, i = 2*l - 53. Calculate the remainder when l is divided by 8.
2
Let t = -240 - -240. Suppose -4*z + 3 - 7 = t, -2*z = -3*g + 272. What is the remainder when g is divided by 26?
12
Suppose -48 + 44 = -2*y. Suppose -y = -6*r + 22. Calculate the remainder when (4*(-33)/(-24))/(2/r) is divided by 4.
3
Let n be (33/(-9) + 1)*-6. Let j = -7 + n. Suppose 0 = 3*i - 5*f + 7*f - 64, 68 = 3*i + f. Calculate the remainder when i is divided by j.
6
Let k = -17 + 43. What is the remainder when 152/(-646)*(-46155)/30 is divided by k?
24
Let u(f) = 3*f**2 + 10*f - 7. Let v be u(-4). Let j be v*8/12*15. Let n(h) = 17*h - 51. Calculate the remainder when n(j) is divided by 20.
19
Suppose 1332 = -62*d + 98*d. Let z(u) = -296*u**3 - 2*u**2 - 2*u - 1. Calculate the remainder when z(-1) is divided by d.
36
Suppose c + 4*c - 128 = -11*c. Calculate the remainder when 333 is divided by c.
5
Calculate the remainder when 1515 is divided by 147*(8 - (-142)/(-18))*3.
45
Let q(t) = -t**3 + 30*t**2 + 35*t - 64. Let v be 36 + (7 + -17)*(-1)/(-2). Calculate the remainder when 197 is divided by q(v).
17
Let c(t) = t**2 - 12*t + 7. Let s be c(5). What is the remainder when ((-1374)/9)/(s/42) is divided by 33?
31
Suppose p - 88 = -3*v, -3*v + 4*v = 4*p - 313. Let k = -6 + 6. Suppose k = -3*c + 2*y + 58 - 12, 3*c + 2*y = 50. Calculate the remainder when p is divided by c.
15
Let f(w) = w**2 + 45*w + 144. Calculate the remainder when 264 is divided by f(-3).
12
Suppose r + 13 = 3*z, -r - r = -z + 6. Suppose -24 = z*s + 68. Let i(h) = -3*h + 68. Calculate the remainder when i(s) is divided by 20.
17
Let h(y) = y**2 - y + 24. Suppose 25 = 183*b - 178*b. Suppose b*p - 598 = -w, 0 = -13*p + 9*p - 2*w + 482. Calculate the remainder when p is divided by h(0).
23
Let q = 20 + -11. Let u be (-6)/(-27) + 15358/63. Let f = u - 212. What is the remainder when f is divided by q?
5
Let q be (-1 - 1)*(-23)/2. Suppose -2*z - q + 11 = 0. What is the remainder when -2*(26/z - -1)*3 is divided by 8?
4
Suppose -5*l - 37 = i, 2*l = -2*l - 2*i - 26. What is the remainder when (l - -5)*50/(-3) is divided by 26?
24
Let d = 26765 - 26577. Calculate the remainder when 742 is divided by d.
178
Let t = -184 + 114. Let d = -766 - t. Calculate the remainder when 17 is divided by (-4)/14 + (d/(-21))/4.
1
Let h be (-436)/(-18) - (-4)/(-18). Suppose -2*b + 3*y + 9 = 0, 0 = 10*b - 7*b + 2*y + 19. What is the remainder when 95 is divided by b/(1 - h/21)?
11
Suppose -b - 168 = 8. Let x = b - -187. What is the remainder when 21 is divided by x?
10
Suppose 2*n + 895 + 256 = 5*w, 3*n + 9 = 0. Calculate the remainder when w is divided by (2 - (-12)/(-10))/(130/9425).
55
Calculate the remainder when 0 - (277/(-2))/((-14)/(-28)) is divided by 25/((-15)/3)*(-94)/10.
42
Suppose -1429*d = -1449*d + 18880. Calculate the remainder when d is divided by 67.
6
Suppose 4*p = -p - a + 342, 0 = -5*p + a + 338. Let f = -1413 - -1668. What is the remainder when f is divided by p?
51
Suppose -h - 135 - 198 = -7*f, -h + 43 = f. Calculate the remainder when 604 is divided by f.
40
Let q = -62 + 24. Let s = 222 + q. What is the remainder when s is divided by 37?
36
Suppose 16 = 4*w, 5*w - 14 = -q + 3*w. Suppose q*a - 237 = -207. Calculate the remainder when 9 is divided by a.
4
What is the remainder when 595 is divided by (-1 - -26)*((-104)/208)/(5/(-66))?
100
Let c = -26 - -41. Let k = c + 5. Let p(i) = -8*i**3 + 4*i**2 + i. What is the remainder when p(-2) is divided by k?
18
Suppose 536 = 5*u - z, -4*z = -2*u - 3*u + 539. Let h = u + -98. Calculate the remainder when 96 is divided by h.
6
Suppose 11*m + 294 = 8*m. Let v = -78 - m. What is the remainder when v is divided by 11?
9
Suppose -109810 = -43*r - 96*r. Calculate the remainder when r is divided by 36.
34
Suppose 4*o + 0*b = -2*b + 254, -4*o = -4*b - 224. Suppose -46*i - 14 = -48*i. Calculate the remainder when o is divided by i.
5
Suppose -6 = 4*n - 9*n + 4*y, 4*n - 11 = -3*y. Suppose z - 66 - 113 = -4*k, 3*z = -n*k + 97. Calculate the remainder when k is divided by 13.
5
Suppose 0 = -119*h + 303*h - 199088. What is the remainder when h is divided by 99?
92
Let v(n) = 10*n - 43. Let m be (5 - 0 - 4) + (4 - -1). What is the remainder when 98 is divided by v(m)?
13
Suppose 0 = -3*q - 4*c + 12103, -3*c = -2*q - 0*c + 8029. Calculate the remainder when q is divided by 19.
16
Let j(y) = -2*y**2 + 52*y - 3. Let w be j(28). What is the remainder when (w - -4)/(12/(-4)) is divided by 28?
9
Let j = 420 + -327. Suppose -2*l + j = -27. W