
Let q(f) = -f**3 + 6*f**2 - 3*f - 3*f**3 - 5 - 7*f**2 - 3*f**3. Let m be q(-2). Suppose -82 = -3*r + m. What is the remainder when r is divided by 16?
13
Suppose 21*z = 10893 - 897. What is the remainder when z is divided by 118?
4
Suppose 4 = -5*c + 5*g + 2184, 3*c + 2*g = 1263. What is the remainder when 1763 is divided by c?
55
What is the remainder when (-5020344)/(-756) - (4/(-6))/(-1) is divided by 82?
80
Let i(a) = -434*a + 56. What is the remainder when 4/(-2)*(-219)/2 is divided by i(0)?
51
Let j(m) = 22*m + 362. What is the remainder when 942 is divided by j(-15)?
14
Suppose -d - 3 = 0, 18 = -3*y - 5*d + 21. Calculate the remainder when 226 - (y/(-5))/((-36)/(-90)) is divided by 21.
19
Let x(h) = 8*h**2 + h - 330. Calculate the remainder when x(-13) is divided by 38.
21
Suppose -3*s - 6147 = -5*o, -3*o - 91*s = -86*s - 3729. What is the remainder when o is divided by 124?
117
Let n(o) = o**3 + 14*o**2 - 11*o + 39. Let a be n(-15). What is the remainder when 147 is divided by (-460)/(-6) - (-14)/a?
71
Let t = -160 - -88. Let n = -66 - t. What is the remainder when 2 - -3 - (-426)/n is divided by 32?
12
What is the remainder when 424 is divided by 11/(154/410)*(6 - -1)?
14
Let p = -89 - -89. Let c be ((-6)/5)/((-5)/25). Calculate the remainder when 53 is divided by c*(-3)/(6 + p) - -17.
11
Let l(a) = -44*a + 103. Let t be l(-27). Suppose -2*i + 653 = -2*v + 3*v, 4*i - t = 3*v. What is the remainder when i is divided by 82?
79
Let r(g) = -g**2 - 77*g - 54. What is the remainder when r(-28) is divided by 16?
6
Let v(l) = 2*l**3 + 8*l**2 - 10*l - 4. Let d be v(5). Let p be d/39 + -1*(-2)/(-13). Suppose p*w - 12*w + 24 = 0. What is the remainder when 46 is divided by w?
10
Calculate the remainder when ((-624)/(-30) + -22)/(3/(-1385)) is divided by 55.
4
Let x(j) = j**3 - 25*j**2 - 26*j + 50. Let d be x(26). Suppose 2*w + 3*f - 46 = 0, -3*w + w - 5*f = -d. What is the remainder when 117 is divided by w?
17
Let n(f) = 0*f - 29 + 7*f - 35 + 18*f. What is the remainder when n(14) is divided by 17?
14
Suppose 2*j + 0*j + 2 = 0. Calculate the remainder when ((-3)/2 - j)*-166 is divided by (-1 + -3 - (-58)/4)*2.
20
Let t be (3 - 3)*(-4)/(-12). Suppose -8*i + 4*c + 16 = -4*i, t = 5*c + 5. What is the remainder when 10 is divided by i?
1
Let f(d) = 615*d - 777. What is the remainder when f(2) is divided by 53?
29
Let z = -6 - -12. Calculate the remainder when 44 is divided by (84 - 0)*z/18.
16
Let z be 9/6*4/(-3) - -9. Suppose 0 = -0*n - z*n - 413. Let u = n + 68. What is the remainder when u is divided by 6?
3
Suppose -4*u - 5307 = -v - 19462, 0 = 5*u + 2*v - 17684. What is the remainder when u is divided by 5?
3
Let i(w) = 15*w**2 - 214*w + 423. What is the remainder when 819 is divided by i(2)?
49
Let g(d) = d**3 - 8*d**2 - 12*d + 27. Let n be g(9). Suppose 3*x - 451 - 146 = n. What is the remainder when x is divided by 34?
29
Let v = 271 + -151. Suppose -3*m - 116 = -6*l + 2*l, -4*l + v = -2*m. Calculate the remainder when 319 is divided by l.
31
Let f(i) = i**2 - 20*i + 4. Let w be f(20). Suppose -w*k + 72 = 52. Calculate the remainder when 184 is divided by k.
4
Let q(l) = l**2 + l - 4. Let t be q(6). Let y = -36 + t. Calculate the remainder when 0/y + (-6)/(-18)*69 is divided by 10.
3
Let q(u) = u**2 + 11*u + 5. Suppose p + 0*p = 11. Suppose 7*o - p - 24 = 0. Calculate the remainder when q(o) is divided by 44.
41
Let f = -78 + -87. Let i = f - -283. What is the remainder when i is divided by 54/2 - (3 - 0)?
22
Let j be (-2 - (-57)/15)/(33/110). Suppose -a + 6*n + j = 4*n, -2*n = 3*a - 10. What is the remainder when 21 is divided by a?
1
Let k = 24283 + -12956. What is the remainder when k is divided by 48?
47
Let q be ((-108)/(-8))/((-1)/8) - 3. Let o = 107 + q. Calculate the remainder when (-14)/o*112/98 is divided by 4.
0
Suppose 0*f - 1278 = -3*f. Let m = 47059 + -47016. What is the remainder when f is divided by m?
39
Let f(r) = r + 120. Suppose -7*w + 5*w = -4*v + 8, -4*w = 4*v + 28. Calculate the remainder when f(w) is divided by 61.
53
Let s be 24/60 + 57/(-5). Let n(v) = -9*v - 56. Let l be n(s). Let u = -27 + l. What is the remainder when 60 is divided by u?
12
Let z = -9 + 16. Let q be 5*((-20)/50)/((-4)/(-6)). Calculate the remainder when -1*(-24 + q) + 2 + -4 is divided by z.
4
Calculate the remainder when (444/(-666))/((20/75)/(-1 - 1621)) is divided by 312.
311
Let v(r) = -2*r + 6. Suppose -17*t = -18*t - 7. Suppose 12 = 3*l, -204 = 3*h - 5*h - 2*l. Calculate the remainder when h is divided by v(t).
18
Let q = -113 + 73. Let l = 31 - q. Let u = l + -48. Calculate the remainder when 43 is divided by u.
20
Let h = -893 - -891. Let n = -69 - -31. Let k = h - n. What is the remainder when k is divided by 20?
16
Let z(u) = 1795*u - 10745. Suppose -3*r - r + 64 = 0. Calculate the remainder when z(6) is divided by r.
9
Calculate the remainder when (-1)/4 - (1125/(-36) - 0) is divided by 23.
8
Suppose -26*n + 24*n = 3*m - 83, 5*n - 3*m = 155. Calculate the remainder when n is divided by 17.
0
Let h(y) = -y**3 + 2*y**2 - 15*y + 16. Calculate the remainder when 1057 is divided by h(-3).
103
Let i be -3 + -4 + ((-100)/(-2))/2. Calculate the remainder when 122 is divided by i/30 + -9*46/(-10).
38
Let s(a) = 4 - 5 + 4 - 6 - 4*a. Calculate the remainder when 133 is divided by s(-5).
14
Let d(h) = 4*h**2 + 213*h - 1299. What is the remainder when 388 is divided by d(6)?
19
Suppose -2*n + 1467 = -2*w + 1285, -2*n + 177 = -3*w. Calculate the remainder when 332 is divided by n.
44
Let b = -1055 + 2506. Calculate the remainder when b is divided by 479.
14
Suppose -1350 + 5550 = 374*p - 12256. Calculate the remainder when 189 is divided by p.
13
Suppose -9 = 3*a, -2*a - 18 + 8 = -2*v. Suppose -77 = -3*u - v*o + 3*o, -5*u = -5*o - 135. What is the remainder when 89 is divided by u?
14
Let q = 0 - -28. Calculate the remainder when (-10)/185 - 219644/(-1591) is divided by q.
26
Let f = -71 - -118. Let j = 117 - f. Calculate the remainder when j is divided by (-185)/3*(315/(-75))/7.
33
Let m(o) = o + 6*o - 14*o. Let u = 165 - 163. Calculate the remainder when m(-1) is divided by u.
1
Suppose -2*g + 597 = 5*l, -3*l = -30*g + 31*g - 298. Calculate the remainder when g is divided by 100.
1
Let p be (6/8)/(65/26000). Suppose -y + 4*r = -6*y + 302, 5*y + 5*r = p. What is the remainder when y is divided by 33?
29
Let z = -2 - -10. Calculate the remainder when (-1 - -20) + (-364)/91 is divided by z.
7
Suppose -15*c + 18*c = -249. Let f = 88 + c. Suppose 2*z - f*t - 140 = -3*z, 2*t - 56 = -2*z. What is the remainder when z is divided by 10?
8
Let s = -445 + 471. Calculate the remainder when 6601 is divided by s.
23
Let n(g) = 10*g**2 - g + 1. Calculate the remainder when (1 + 1)/(((-7)/(-17))/((-767)/26 - -33)) is divided by n(1).
7
Suppose -980 = 6*t - 1016. Suppose -16 - t = -11*p. What is the remainder when 71 is divided by p?
1
Let f = -280 + 139. Let i = -92 - f. What is the remainder when 4/(-114) - (-110030)/570 is divided by i?
46
Suppose 22*a + 12 = 26*a. Suppose -3*l = 2*h - 278, a*h - 18 = -4*l + 351. Calculate the remainder when l is divided by 13.
5
Let g(r) = -11*r + 18. Let t be g(-7). Let v = t + -113. What is the remainder when 89 is divided by 69*(-2)/v*3?
20
Let t(s) = -10*s + 175. Let w be t(17). Suppose -6*a = 3*d - w*a - 603, 3*d - 5*a = 585. What is the remainder when d is divided by 34?
30
Suppose -4*f = 5*m - 2080, 0*m - 4*m + 4*f = -1664. Suppose 20*c - 24*c + m = 0. Let a(j) = -j + 21. What is the remainder when c is divided by a(0)?
20
Let q = -11207 + 11295. Calculate the remainder when 548 is divided by q.
20
Suppose -m = -3*u + 8, -3*u - 4 = 3*m - 7*u. Suppose m*z + 243 = x, 5*z - 1260 = -5*x + 30. What is the remainder when x is divided by 20?
15
Calculate the remainder when 1312/20 + ((-84)/15 - -1*5) is divided by 19.
8
Suppose -9 = -6*k + 21. Suppose 2*m = k*m - 6. Let n(u) = 12*u**2 + 4*u - 3. Calculate the remainder when n(m) is divided by 14.
11
Suppose -5*l - f = -244, 0 = -28*f + 23*f + 20. What is the remainder when 379 is divided by l?
43
Suppose -20*c + 1478 = -2742. Calculate the remainder when c is divided by 13.
3
Let z = -374 + 433. Let m = -55 + 67. Calculate the remainder when z is divided by m.
11
Let r 