
What is the remainder when (-21 - 3110/4)*(-1 + -5 + 2) is divided by 23?
20
Suppose q - 4*w = 292, -91*w = -95*w - 8. Calculate the remainder when q is divided by 67.
16
What is the remainder when (-12836)/(-10) + (-2 - 132/(-55)) is divided by 425?
9
Let s = 52 - 61. Let m be (-5)/((-5)/(-6))*s/18. What is the remainder when (-4)/m - 2007/(-27) is divided by 25?
23
Suppose 618 = 5*g - 4*k - 0*k, 5*g - 2*k - 624 = 0. What is the remainder when g is divided by -3 + 63/3 + 1?
12
Suppose -48*r + 39*r + 198 = 0. Calculate the remainder when r is divided by 0 + (-1 + -3)/(-1).
2
Let c = -331154 - -331169. Let a be -1*2 + 1*6. Calculate the remainder when c is divided by (a/10)/(3/15).
1
Let z be 70/(-35) - (0 + 1 - 212). Let w = z + -201. What is the remainder when w is divided by (-22)/(-4) + 1/(-2)?
3
Let m(r) = -2*r**3 + 17*r**2 + 20*r + 15. Let q(y) = y**3 - 8*y**2 - 9*y - 7. Let z(i) = -6*m(i) - 13*q(i). What is the remainder when 158 is divided by z(-3)?
48
Let k(x) = -52*x + 129. Let p be k(2). Suppose 54 = i - p*r + 24*r, 164 = 3*i - 4*r. Let w = 17 - 6. What is the remainder when i is divided by w?
8
Let r(z) be the third derivative of z**5/15 - z**4/8 - 31*z**3/6 - 168*z**2. Calculate the remainder when r(-6) is divided by 19.
17
Suppose 58 = 2*w - 4*k, 2*k = -4*w - k + 83. Suppose 16 = -g + 11. Calculate the remainder when 45/(-18)*128/g is divided by w.
18
Suppose -s + 3*h = 3*s + 4, 2*s + 2*h = 12. Calculate the remainder when 437 is divided by s.
1
Let t(y) = 5*y**2 + 4*y - 155. Let f be t(-15). Suppose f - 30 = 10*i. What is the remainder when i is divided by 6?
4
Suppose -2*o + 52 = -20. Suppose 2*d + 6 = 36. Suppose 2 = -a + 4*k, -3*a + 0*a = -5*k - d. Calculate the remainder when o is divided by a.
6
Let p(w) = 246*w - 3662. What is the remainder when p(22) is divided by 115?
25
What is the remainder when 1970 is divided by (-126)/(-5 + -2)*((-676)/(-24))/13?
20
What is the remainder when (-589)/(-5) - (-216)/180 is divided by 20?
19
Let t = 7 - -12. Suppose -t = -2*l + 21. Calculate the remainder when l is divided by 7 + (-3 - (-12 - -5)).
9
Let b(p) = -p**3 + 11*p**2 - 9*p - 3. Let o = 153 + -149. Suppose -3*y = -c + 17 - 9, -29 = -5*c + o*y. What is the remainder when b(9) is divided by c?
3
Suppose -4*q + 3*r + 68 = -43, -2*q + r + 57 = 0. Suppose -q*d + 669 = -861. Calculate the remainder when d is divided by 16.
3
Calculate the remainder when 936 is divided by (5/(-35))/((-6)/19614).
2
Let k(a) = 41*a - 82. Suppose q - 8 = -5*b + 11, -b - 4*q = -19. Calculate the remainder when 79 is divided by k(b).
38
Let w = 19 + -8. Suppose -30 = -13*o + 10*o - 2*t, 5*t = 2*o - 39. Calculate the remainder when (-232)/(-12) - o/(-18) is divided by w.
9
Let s = -243 - -246. Suppose 4*u = 2*o - 26, 2*o + 0*o - s*u - 26 = 0. Let d = 407 - 267. Calculate the remainder when d is divided by o.
10
Let q(m) = 412*m + 212. Let d be q(-15). What is the remainder when d/24*1/(6/(-9)) is divided by 8?
5
Suppose 0 = -3*k - 14*x + 10*x + 1169, 771 = 2*k + x. Calculate the remainder when k is divided by 7.
5
Let o be ((-746)/(-6) + -3)/(20/(-450)). What is the remainder when 12/7*o/(-52) is divided by 27?
9
Let y(k) = -2*k**3 - 120*k**2 - 234*k + 90. What is the remainder when 514 is divided by y(-58)?
102
Let u = 728 - 700. Calculate the remainder when 5056/46 - u/(-322) is divided by 59.
51
Suppose 6*q = 142 + 38. Let n = -261 + 378. Calculate the remainder when n is divided by q.
27
Let m be -10 + 14 + -2*1. Calculate the remainder when 50 is divided by -3 - (4 + (-4 - 7)*m).
5
Let y(k) = -2*k**3 + 26*k**2 + 26*k + 86. What is the remainder when 11367 is divided by y(14)?
57
Let o(c) = 21*c**3 + 2*c**2 + c + 1. Suppose 2*j - 39 = 5*s, 23 = 4*j + 19*s - 18*s. What is the remainder when o(2) is divided by j?
4
Calculate the remainder when 741 is divided by ((-882)/(-1078) - 2/(-11))*187.
180
Let l be (-6)/16 + 28430/80. Let q = l - 22. What is the remainder when q is divided by 16?
13
Let l(z) = -16*z + 463. What is the remainder when 43 is divided by l(28)?
13
Let a = -33095 - -33347. Calculate the remainder when a is divided by 203.
49
Suppose -3*m = 1 - 4, -3*l = 4*m - 61. Let k be (-610)/(-14) + (-69)/(-161). Suppose -12*u = -8*u - k. Calculate the remainder when l is divided by u.
8
Let i be (189/(-15) + -1)/((-5)/(-25)). Let q = 69 + i. Suppose -5*r + 4*r = q, -5*r - 52 = -w. Calculate the remainder when 279 is divided by w.
44
What is the remainder when -18 + (-3185)/(-18 + 11) is divided by 148?
141
Let j(t) = 15*t**2 - 5*t - 9. Suppose 0 = -12*r + 22 - 70. Calculate the remainder when j(r) is divided by 42.
41
Calculate the remainder when 507 is divided by 1 + 31/(8432/(-32)) + (-1430)/(-17).
82
Suppose -30*f + 26*f + 36 = 0. Let p(z) = z**3 - 7*z**2 - 16*z. What is the remainder when 53 is divided by p(f)?
17
Let a = -398 - -723. Suppose 0 = -11*l + a + 5. Suppose 2*r - 24 = -2*r - 4*z, -4*r + 30 = z. What is the remainder when l is divided by r?
6
Let y = 2207 - 1735. Calculate the remainder when y is divided by 34.
30
Let u(m) = -5*m**2 + 135*m + 4. Let k be u(27). Calculate the remainder when (-4)/((-48)/1754) - k/24 is divided by 81.
65
Let s(f) = -464*f + 3338. Calculate the remainder when 1031 is divided by s(7).
41
Suppose 3*j = -0*j + 12. Let y = j - 0. Suppose 40 = 3*a + 7*o - 3*o, y*a + 3*o = 65. What is the remainder when 34 is divided by a?
14
Let m(c) = 23*c + 155. Let t(l) = 6*l - 1. Let n(r) = -m(r) - 6*t(r). Calculate the remainder when 104 is divided by n(-3).
20
Suppose -y - 179 = -5*q, q - 1 = -3*y + 22. Suppose 3*u + 38 = 56. Suppose -t + 40 = -2*a + u*a, a - t = 5. What is the remainder when q is divided by a?
8
Suppose -5*h - 2*d + 59 = 0, -h - d = -0*d - 13. Suppose 15 = -q, -q - 80 - 108 + 13 = -2*n. What is the remainder when n is divided by h?
3
Suppose 472 = -24*c + 5368. Calculate the remainder when c is divided by 90.
24
Let m be (-1 - -4) + -24 + 656. Suppose -3*i + m = 2*p - 2*i, -p + 3*i = -321. What is the remainder when p is divided by 16?
14
Let a(n) = -n**3 + 6*n - 14. What is the remainder when a(-7) is divided by (-12)/(-6) + 28/2?
15
Calculate the remainder when (776/6)/((-3)/(-9)) is divided by 43 - ((-45 - -36) + 42).
8
Let h(f) = -f + 30. Suppose -4*v + 25 = 2*y + y, 0 = 2*v - y - 25. Calculate the remainder when 37 is divided by h(v).
17
Calculate the remainder when (132/(-16)*2)/(1/(42/(-9))) is divided by 7.
0
Suppose -3*c + 13626 = -q, 0 = -3*c + 4*q + 7930 + 5705. What is the remainder when c is divided by 2270?
1
Suppose 64*r = 30761 - 2921. Calculate the remainder when r is divided by 53.
11
Let j(t) = 774*t**2 + 3. What is the remainder when j(-1) is divided by 255?
12
Suppose -4*g + 31 = 5*w, 0 = w + w - 3*g + 6. Let f = -26 - -89. Calculate the remainder when (-129)/(-27) + 0 - (-14)/f is divided by w.
2
Calculate the remainder when 568 is divided by 8 + -12 + -12*18/(-27).
0
Let i(z) = 11*z - 13. Let f = -1027 + 1069. Calculate the remainder when i(f) is divided by 90.
89
Suppose -18*d = -32092 - 5168. Calculate the remainder when d is divided by 61.
57
Suppose -754 = 63*t - 3463. What is the remainder when 1318 is divided by t?
28
Let l = -4884 - -4931. What is the remainder when 353 is divided by l?
24
Suppose 5*s + 5*y - 495 = 0, 13*s - 8*s + 2*y = 489. What is the remainder when 2034 is divided by s?
94
Let y(u) = -3253*u**2 - 3261*u**2 + 6522*u**2 + 23. What is the remainder when y(9) is divided by 12?
11
Let f(m) = -19*m - 57. Let n be f(-3). Suppose -17*g + 31*g - 4676 = n. Calculate the remainder when g is divided by 85.
79
Let p(z) = z**3 - 16*z**2 - 17*z + 4. Let k be p(17). Let r = -4 + k. Suppose r*a = -5*a + 250. What is the remainder when a is divided by 17?
16
Let t = -10915 + 11201. What is the remainder when 1110 is divided by t?
252
Suppose -5*f + 2*x + 648 = 0, -4*f - 5*x + 1426 - 901 = 0. Calculate the remainder when 302 is divided by f.
42
Let h be 0*4/(-12) + 40. Suppose 2*j - b - 41 = -6, 3*j - 4*b - h = 0. What is the remainder when 42 is divided by j?
2
Suppose 147*s - 535908 = 39*s - 40*s. What is the remainder when s is divided by 98?
93
Let q = -5627 - -5785. What is the remainder when 8214 is divided by q?
156
Let j(d) = 40*d**2 + 90*d - 5. Calculate the 