
63
Let c(r) = 3*r**3 + 3*r**2 - 11*r - 4. Let y be c(3). Suppose 5*i + y + 59 = 5*n, -2*i - 104 = -4*n. What is the remainder when n is divided by 20?
6
Let g = -149 + 152. Suppose g*w + 2*x - 25 = 0, 20 = 2*w - x - x. What is the remainder when 16 is divided by w?
7
Let y be (-2)/15 - ((-160)/75 + 2). Suppose 0 = 5*i - m - 52, y = -5*i + 3*i + m + 22. Calculate the remainder when 44 is divided by i.
4
Suppose 16 = u - 3*c, -165 = -5*u + c - 3*c. Suppose 0 = 5*z + 193 + 117. Let n = z - -78. Calculate the remainder when u is divided by n.
15
Let u be 0/(-1) + (-14)/(2 + -3). Suppose -2*z - u*z + 112 = 0. Calculate the remainder when z is divided by 5.
2
Calculate the remainder when (2*(-2)/(-12))/(16 - (-477290)/(-29832)) is divided by 146.
14
Let f be ((-4)/10)/(8/(-20)) - -4. Suppose f*h - 8*h = -63. Calculate the remainder when h is divided by 11.
10
Calculate the remainder when 5421 is divided by (-36)/(-81)*(7 + 20).
9
Let q be 0/(-9 + 16 + -10). Let l(a) = a**3 + 3*a**2 - 3*a + 167. What is the remainder when l(q) is divided by 56?
55
Let p(j) = -j**2 - 7*j - 6. Suppose 15*r = 3643 + 137. Calculate the remainder when 32/40 - r/(-10) is divided by p(-4).
2
Let j be (-3)/(-12) - -4*3188/(-64). Let r = 212 + j. Calculate the remainder when 99 is divided by r.
8
Let t = -16665 + 16683. What is the remainder when 677 is divided by t?
11
Let f = 925 - 912. What is the remainder when 1231 is divided by f?
9
Suppose 2*m - 133 = -4*p - p, -5*p - 385 = -5*m. Suppose -9*v = -10*v + m. Let u = v - 61. Calculate the remainder when u is divided by 3.
1
Let k(b) = b**2 + 15*b - 21. Let o(y) = y**3 - 19*y**2 + y + 46. Let f be o(19). Suppose l - f = 23. What is the remainder when l is divided by k(-17)?
10
What is the remainder when 5518 is divided by (635/(-381))/((-1)/69)?
113
Let p = -32424 - -32534. What is the remainder when 517 is divided by p?
77
Suppose -19*s = 33 + 62. Calculate the remainder when 13/((-52)/(-736)) + s is divided by 14.
11
Suppose 5*j - 1373 + 70 = -2*n, -2*n - 3*j + 1309 = 0. What is the remainder when n is divided by 17?
13
Let c = 26 - 23. Suppose -5*b = c*i - 33, -3 = b + 2*i - 11. Let z(h) = 4*h**2 - 26. Calculate the remainder when z(b) is divided by 30.
28
Suppose -867 - 9585 = -52*b. What is the remainder when b is divided by 68?
65
Let b = -7325 + 7457. Calculate the remainder when 5409 is divided by b.
129
Let q be 0 + 3 + -3 - (-2 + 0). Suppose -3*h + d + 152 = -59, 2*h - q*d = 142. What is the remainder when h is divided by 63?
7
Suppose 139*g + c - 3197 = 138*g, -2*g + 6395 = 3*c. What is the remainder when g is divided by 13?
11
Let g(h) = -4*h**3 - 22*h**2 - 4*h - 1. Let k be g(-7). Suppose -164 = 317*x - k*x. What is the remainder when x is divided by 21?
20
Let x be 0 + -3 + 33 + -19. Suppose 593 = x*h + 43. What is the remainder when 243 is divided by h?
43
Let v(x) be the third derivative of -5*x**4/12 - 14*x**3/3 + 59*x**2 + 1. Calculate the remainder when v(-16) is divided by 8.
4
Calculate the remainder when (-31)/((-868)/16) + (-10488)/(-21) is divided by 247.
6
What is the remainder when 2449 is divided by (-16)/(-72) + (-2 - 1309/(-63))?
17
Suppose h - 13 = -k + 91, 1200 = 12*k - 4*h. Calculate the remainder when 342 is divided by k.
39
Let f = -1890 + 2854. Calculate the remainder when 77 is divided by f/24 - 2/12.
37
Let h = 111 + -41. Suppose 2*p - 6 = -4*o + 46, -2*p + h = -2*o. Calculate the remainder when 187 is divided by p.
27
Let f = 37 + -19. Let w be (-12)/(-2)*(-11 - -12). Suppose -w*z = -5*z - 48. Calculate the remainder when z is divided by f.
12
Let p = 395 + -315. Let s = 172 - p. Calculate the remainder when s is divided by 20*(2 - 12/15).
20
Let y(o) = 3*o**3 + 6*o**2 + 7*o - 6. Let w be y(-4). Let a be 6/((-98)/w + 4/(-26)). Suppose a = c + 4. What is the remainder when 46 is divided by c?
4
Let h = -71 - -106. Calculate the remainder when h is divided by -82 - -100 - 2/(14/105).
2
Suppose 5*s = 64 - 74. Calculate the remainder when 81 is divided by 14 - (-5 + (48/s)/(-3)).
4
Suppose 44*s - 39*s - 572 = 2*k, -236 = -2*s - k. What is the remainder when 377 is divided by s?
29
Suppose -105*z + 75*z = -2220. Calculate the remainder when 388 is divided by z.
18
Let h = 530 - 530. Suppose h = -250*y + 237*y + 3757. Calculate the remainder when y is divided by 95.
4
Let q(l) = -60*l + 132. Let o be q(-8). Let f = o - 482. What is the remainder when f is divided by 19?
16
What is the remainder when (6/(-9) + 2)*(9 - 7443/(-12)) is divided by 139?
5
Suppose 0 = -4*n - 2270 + 5594. Calculate the remainder when n is divided by 50.
31
Calculate the remainder when (3 - 7/2)/(1/(-14826)*7) is divided by 106.
105
Suppose -1914 = -5*m + 486. Suppose -4*y + 650 = -0*y + 2*x, x + m = 3*y. Calculate the remainder when y is divided by ((-42)/35)/((-3)/135).
53
Let r = 136 - -851. What is the remainder when r is divided by 13?
12
Let c = -165 + 161. Let i(m) = 13*m**2 + 25*m - 4. Calculate the remainder when i(c) is divided by 5.
4
Let r = 169 - 280. Let g = r + 214. Suppose -3*l + 2*s + 166 = -0*s, -5 = s. What is the remainder when g is divided by l?
51
Let d = 75 - 38. Let t be ((-27)/6 + 4)*0. Suppose 2*g - 11 - d = t. Calculate the remainder when 94 is divided by g.
22
Let f = 7 + 13. Suppose 185*u - 88*u = 94*u + 477. What is the remainder when u is divided by f?
19
Let f(m) be the first derivative of m**4/4 + 4*m**3 - 8*m**2 - 24*m - 7. Calculate the remainder when 118 is divided by f(-13).
13
Let l = 4369 - 4343. What is the remainder when 233 is divided by l?
25
Suppose 94 = 2*v + 3*g + g, -2*v + 134 = -4*g. What is the remainder when 262 is divided by v?
34
Suppose 5199 - 1524 = 21*u. Calculate the remainder when 187 is divided by u.
12
Let u be 20*(1 - (-17)/(-4)). Let j = u - -202. What is the remainder when j is divided by 36?
29
Let a = -62 + 64. Suppose 4*o + 2*g - a = 2, 4*o + 3*g - 2 = 0. Suppose -6 = -3*v, -d - 128 = -o*d + v. What is the remainder when d is divided by 19?
16
Suppose -3*h = 2 - 8, -2*l - 4*h = -376. What is the remainder when l is divided by (-2)/(-9) + (-11900)/(-315)?
32
Let u be 12/66 - 172/(-22). Let d(a) = -u*a + 4*a - 4*a. Calculate the remainder when 55 is divided by d(-2).
7
Suppose -2*m - 4*z + 129 = -155, -3*m - 2*z + 406 = 0. Calculate the remainder when m is divided by 6.
0
Let w(y) = 5*y**2 + 8*y + 13. Let l(q) = q**2 - q - 1. Let i(a) = 4*l(a) - w(a). Calculate the remainder when i(-10) is divided by 2.
1
Suppose -a + 2*a = 5, 4*q - 2*a = 190. Calculate the remainder when 391 is divided by q.
41
Calculate the remainder when (4706 + -1)/(12*(-12)/16 + 10) is divided by 671.
8
Let x(d) be the second derivative of -d**4/12 - 7*d**3/2 + 51*d**2 + 50*d. Calculate the remainder when 107 is divided by x(-24).
17
Let j = 42 + -37. Suppose 558 = -j*s - s. Let m = 102 + s. What is the remainder when 33 is divided by m?
6
Let o(g) = -48*g + 127. Let l(w) = 25*w - 64. Let s(v) = -11*l(v) - 6*o(v). Calculate the remainder when s(8) is divided by 7.
4
Let w = -808 - -611. Let q = w + 221. Let g(o) = 3*o**3 - 3*o**2 + 1. Calculate the remainder when q is divided by g(2).
11
Let q = 21287 - 21097. What is the remainder when 3416 is divided by q?
186
What is the remainder when 403 is divided by -1*(-2705)/50 - (-9)/(-90)?
25
Let p = 9659 + -8885. Calculate the remainder when p is divided by 19.
14
Let d = 2757 + -2102. What is the remainder when d is divided by 35?
25
Calculate the remainder when 2/12 - 19/(1938/(-122995)) is divided by 21.
9
Suppose 2*q + 4 = 4*g - 232, -2*g = -3*q - 122. Suppose -31 + g = 9*t. Calculate the remainder when -10*(-1)/(10/52) is divided by t.
1
Suppose 11622*b - 395 = 11617*b. What is the remainder when 2311 is divided by b?
20
Suppose 701*s - 62 = -p + 696*s, p - 59 = -4*s. Suppose -4*l + 3*j - j = -194, -4*l = -j - 195. Let h = l - p. Calculate the remainder when 13 is divided by h.
1
Let a = -739 + 2361. What is the remainder when a is divided by 65?
62
Let n = 545 + -535. Let f = 208 - 127. Calculate the remainder when f is divided by n.
1
Let a be 6/51 - 2790/17. Let c = 184 + a. Suppose 4*y + 3*x = 243, 4*y - 124 = 2*y - 2*x. What is the remainder when y is divided by c?
17
Let j = 12 - 0. Suppose -10*y = j*y - 176. Calculate the