
32
Let f(z) = z**3 - 26*z**2 + 3*z + 435. Calculate the remainder when f(31) is divided by 184.
181
Suppose -22*q = 53 - 1307. Suppose l + 46 = q. What is the remainder when l is divided by 7?
4
Suppose -3*n + 30 = -78. Suppose -2*s + n = -2*q, 5*s = -7*q + 2*q + 50. Calculate the remainder when 40 is divided by s.
12
Let l = 91 - -53. What is the remainder when l is divided by (-1)/(-4) + -6 + 849/12?
14
Let m = 354 + -354. Suppose m = 30*f - 45 - 45. What is the remainder when 12 is divided by f?
0
Suppose -3*u + 166 = -4*f, 0 = -2*u + f - 0*f + 104. Let s = -1031 - -1051. What is the remainder when u is divided by s?
10
Suppose 122*i + 2331 = 126*i - h, -5*h - 1778 = -3*i. What is the remainder when i is divided by 48?
5
Suppose -1477*g - 27308 = -1446*g - 84875. Calculate the remainder when g is divided by 60.
57
Suppose 103 = 44*v + 15. Suppose v*c - 2*b - 368 = 0, c - 204 = -2*b - 2*b. What is the remainder when c is divided by 29?
14
Suppose 0 = 5*n + 770 - 3485. Suppose n = 4*k + 251. What is the remainder when 217 is divided by k?
71
Let j(f) = 3*f**3 - 2*f**2 + 2*f - 1. What is the remainder when 371/159*(-11847)/(-77) is divided by j(2)?
17
Let q = -35 + -106. Let a = 185 + q. Suppose -4*b - 5*x = -549, 0*x - 5*x = 3*b - 418. What is the remainder when b is divided by a?
43
Suppose -8658 = -192*d - 141*d. Suppose -2*x = 5*y + 1595, 2*y + 3*x + 857 - 208 = 0. Let k = -215 - y. Calculate the remainder when k is divided by d.
24
Let o = -6 + 23. Suppose 5*u - 15 = 0, 85 = 2*k + 3*u - 58. What is the remainder when k is divided by o?
16
Let x(r) = 79*r - 5. Calculate the remainder when x(1) is divided by -1*(10 + -10) - -13.
9
Suppose -2*r + 70 = -176. Suppose -121*c + r*c - 142 = 0. What is the remainder when 277 is divided by c?
64
Let p = -25 - -41. Let c = p + 3. Let l = 368 + -312. What is the remainder when l is divided by c?
18
Let o be 286 + -4 + -1 + 4. Let u = -196 + o. What is the remainder when u is divided by (-4)/(-1) + (8 - 6 - -3)?
8
Let f(w) = -3 - 4*w + 4 + 3 + 1 + 0*w**2 + 3*w**2. Let l = -7 - -10. Calculate the remainder when 36 is divided by f(l).
16
Suppose 0 = 2*b - 4*u - 288, -3*u = -260 + 269. Calculate the remainder when 4550 is divided by b.
134
Suppose -144*w + 146*w = a + 569, 15 = -5*a. What is the remainder when w is divided by 11?
8
Let t(y) = -y**3 - y**2. Let z be t(-2). Suppose -j + z*j = 168. What is the remainder when (55 - 91)*((-140)/16 + 1) is divided by j?
55
Suppose -16*n = -47*n + 20615. Let r = n + -635. What is the remainder when 168 is divided by r?
18
Suppose 2*w = t - 7, 0 = -2*t - 4*w - 13 + 27. What is the remainder when 2295 is divided by t?
6
Let f = 11164 + -10539. Calculate the remainder when f is divided by 65.
40
Suppose 180*k + 2*w - 250 = 177*k, 5*w - 141 = -2*k. Calculate the remainder when 10735 is divided by k.
87
Let g(v) = 4*v**3 - 133*v**2 + 42*v - 44. What is the remainder when g(33) is divided by 27?
10
Let z = 8047 - 8024. What is the remainder when 2005 is divided by z?
4
Let t be (-8)/(-1)*(-3)/(-6). Let q be t/12*-3*1. Calculate the remainder when 15 is divided by (-1*(7 + -5))/(q/3).
3
Let x(u) = -60*u - 2. What is the remainder when x(-2) is divided by 630/147*42/15 - -8?
18
Suppose 0 = 4*u + 2*b + 7 + 9, 0 = -2*u - 3*b. Let d(n) = 11 + n + 1 + 27 - 10. Calculate the remainder when 43 is divided by d(u).
20
Suppose 11835*q - 57359 = 11794*q. What is the remainder when q is divided by 140?
139
Suppose -3*j + 858 = 9*m - 11*m, -5*m = -5*j + 1425. What is the remainder when j is divided by 69?
12
Let o = 3222 - 3084. Let l(g) = 18*g**2 - g + 1. What is the remainder when o is divided by l(1)?
12
Let t(s) = s**2 - 9*s - 8. Let m = 75 + -45. Let j = m + -27. Calculate the remainder when t(12) is divided by j.
1
Suppose 4 = 4*q - 8. Let j(h) = -3*h**3 - 8*h**2 - 12*h - 3. Let k be j(-5). Let o = k + -223. What is the remainder when o is divided by q?
0
Let d = 10 - 8. Suppose r - 4*z = 57, -6 - 4 = -d*z. Let m = -31 - -57. What is the remainder when r is divided by m?
25
Suppose -14*g = -10 + 80. Calculate the remainder when g/((-4)/(-26)*7/(-14)) is divided by 10.
5
Let w(c) = c**3 + 11*c**2 + 3*c + 37. Let f be w(-11). Calculate the remainder when (-758)/(-9) - -3*f/(-54) is divided by 22.
18
Suppose -2*m - 1449 = -1575. Calculate the remainder when 215 is divided by m.
26
Suppose -2*t = -2*s + 224, 2*s = 3*s + t - 112. Suppose 28*v - 26*v = s. Let r = -35 - -45. What is the remainder when v is divided by r?
6
Let d = 138 - 56. Let h = -253 + 401. Suppose -4*t - 2*k + h = 56, -3*k - 16 = -t. Calculate the remainder when d is divided by t.
16
Suppose 0 = 13*i - 18*i + 90. Let r = 68 - i. Calculate the remainder when 56 is divided by r.
6
Let c(x) = 65 - 177 + 81 - x + 82. Calculate the remainder when c(18) is divided by 3.
0
Suppose 0 = -3*h - 3*p + 918, 0*h = h + 5*p - 290. Let v = 682 - 674. What is the remainder when h is divided by v?
6
Let w = 9560 + -9219. What is the remainder when w is divided by 12?
5
Suppose -4*w = 2*x - 0*w + 188, 4 = 4*w. What is the remainder when (-46016)/x - 2/6 is divided by 80?
79
Let a(y) = -35*y - 973. What is the remainder when a(-41) is divided by 48?
30
Let p = -3970 + 4037. Calculate the remainder when 6294 is divided by p.
63
Let z(c) = -5*c + 16. Suppose 0 = -2*n - 5*n. Suppose v + 4*p = 81, -3*p + 48 + 272 = 5*v. What is the remainder when v is divided by z(n)?
13
What is the remainder when (27 - (-10 + 104))/(1/(-52)) is divided by 41?
40
Suppose -4*b + 5*x + 216 = 9*x, 3*x = 4*x. What is the remainder when b is divided by (-2 + 1)/(3/(-51))?
3
Let t = -44 - -79. Suppose -3*g = -4*o + o + 285, o - 2*g - 95 = 0. Suppose -8*v + 13*v = o. What is the remainder when t is divided by v?
16
Let q = -279 - -730. Calculate the remainder when q is divided by 48.
19
Suppose 3*i + 50 = -2*d, -4*i - 28 = -2*i + 4*d. Let o(y) = -66*y - 31. What is the remainder when o(i) is divided by 58?
55
Suppose 1363 + 1595 = 23*m - 1711. What is the remainder when m is divided by 16?
11
Let y = -14 - -22. Suppose 4*f + 4*b - 84 = 76, 5*f - 3*b - 176 = 0. Calculate the remainder when f is divided by y.
5
Suppose -110*o = -146*o + 51984. Calculate the remainder when o is divided by 475.
19
What is the remainder when 1024 is divided by ((-90)/(-12))/(1/6 - (-4)/16)?
16
Suppose 0 = -3*l - 20 - 1. Let x(i) = 9 + 126*i - 4 + 5 - 114*i + 2*i**2. Calculate the remainder when x(l) is divided by 14.
10
Calculate the remainder when 166 is divided by -3 - -42 - (-9 + 14).
30
Suppose -3*f = c - 75, 3*c - 3*f - 311 = -74. What is the remainder when 477 is divided by c?
9
Suppose 9*m - 12 = 21*m. Let i(y) = -5*y**3 + 9*y**2 - 11. Let n(p) = -p**3. Let c(l) = m*i(l) + 6*n(l). What is the remainder when 31 is divided by c(-9)?
9
Let r be 230/40 + (-3)/(-12). Suppose 82 = 3*c - 4*i, -c + 39 = -r*i + 7*i. Calculate the remainder when 132 is divided by c.
30
Suppose -f + 57 = 3*b, -3*b - 2*b + 91 = 3*f. Let r(t) = -t**3 - 32*t**2 - 312*t - 11333. What is the remainder when r(-33) is divided by b?
12
Let z be 40965/55 + 2/11. Let u = z - 679. Calculate the remainder when u is divided by 17.
15
What is the remainder when 495 is divided by ((-38)/(-4))/(((-4)/8 - -1)*1)?
1
Suppose 24*q = 26*q. Suppose q*m + 97 = m. What is the remainder when m is divided by 17?
12
Let p be 1536/22 + (-30)/(-165). Suppose -p = -2*a + 18. What is the remainder when a is divided by 30?
14
Suppose -q - r + 110 = q, 2*r - 61 = -q. Suppose 4*d = 3*m - 221, -m + 22 + q = -d. Let w = m + -61. Calculate the remainder when 88 is divided by w.
16
Let h(c) = c + 1. Let p be h(-31). What is the remainder when 14 is divided by 3/12 + p*(-1)/8?
2
Suppose -26*v + 29*v = -b + 86, -166 = -2*b - 5*v. What is the remainder when b is divided by 31?
6
Suppose -20*d - 12254 = -41734. Suppose -14*r + 1284 = -d. What is the remainder when r is divided by 50?
47
Let u = 6 - 2. Suppose -4*d + 134 = 2*x - 8*d, 0 = -u*d. Calculate the remainder when 131 is divided by x.
64
Suppose -3*s - 4*b + 2*b + 13 = 0, 2*b = 10. Let i be 65 + ((-6)/3 - s). Calculate the remainder when 29 is divided by (27/6)/(-9) + i/4.
14
What is the remainder when ((-137 - -6)*15)/(2 + 4 + -7) is divided by 34?
27
Let s(c) = 2*c + 100. What 