 l**5/20 - l**4/3 - 7*l**3/6 - 7*l**2 - 28*l. Calculate the remainder when 61 is divided by u(6).
13
Suppose -5 = -3*d - 2. Let i be -2 - -30 - (1 - 1/(-1)). Let b = 27 - i. What is the remainder when d is divided by b?
0
Suppose -7 = 2*w + 5*b, -3*w + 39 = -5*b + 12. Let p(v) = -2*v**2 - 2*v + 4. Let g be p(-4). What is the remainder when g*(0 - 1/2) is divided by w?
2
Let o(z) = -3*z - 15. Suppose 0 = 3*q + 4 + 50. Calculate the remainder when o(q) is divided by 7.
4
Let x = 608 - 580. Calculate the remainder when 109 is divided by x.
25
Let z(v) = 0*v + v - 3*v**2 - v**3 - 2*v + 3. Let j = -110 + 106. What is the remainder when z(j) is divided by 6?
5
Suppose -518 + 534 = 8*c. Let p(g) = -g**3 - 4*g**2 + 2*g + 1. What is the remainder when p(-5) is divided by c?
0
Let k(t) = -t - 8. Let g be k(7). Let o = g + 28. What is the remainder when 49 is divided by o?
10
Suppose -19 + 103 = 2*l. Suppose 3*v = -x + 75, 2*v - x = l + 8. What is the remainder when v is divided by 9?
7
Suppose 3*f - 32 + 84 = q, 3*q + 4*f - 91 = 0. Let u = 246 - 241. What is the remainder when q is divided by u?
2
Suppose 0 = -12*l + 11*l + 36. Calculate the remainder when l is divided by 22.
14
Suppose 5*w - 3 = 4*w. Suppose 4*y - 71 + w = 0. What is the remainder when 61 is divided by y?
10
Let o be (-24)/(-9) - (-2)/(-3). Suppose -o*g + 56 = -0. Suppose 0 = 3*p - 17 - g. Calculate the remainder when 57 is divided by p.
12
Let y be 48/(-18)*-1*(-2 + -4). Let b = -2 - y. What is the remainder when (-466)/(-12) - (-11)/66 is divided by b?
11
Let u = 318 - -51. Suppose 0 = -4*y - 5*i + 367, -5*i + 2*i = 4*y - u. What is the remainder when y is divided by 24?
21
Calculate the remainder when (4/1 - 5) + 208 is divided by 13.
12
Let w = -13 - -18. Let l be w/(-10) + (-19)/(-2). Let a = 12 + l. What is the remainder when 39 is divided by a?
18
Suppose -12*a + 208 = -8*a. Calculate the remainder when 193 is divided by a.
37
Let w = -7 + 25. Suppose 83 - w = 5*o. Calculate the remainder when o is divided by 5.
3
Let z = 12 + -8. Let k(c) = -c**3 - 4*c**2 - 1. Let s be k(-4). What is the remainder when (2 + 9)*s*-1 is divided by z?
3
Suppose 89 = -0*p + p + 3*w, -5*p = 5*w - 465. Calculate the remainder when p is divided by 33.
29
Suppose -5*m = 3*p - 230, p - 2*p - 230 = -5*m. Suppose 16 = -4*w, -t + 0*w + w + 64 = 0. Suppose 9*h - t = 4*h. What is the remainder when m is divided by h?
10
Let u(m) = -m**3 + 12*m**2 - m + 15. Let r be u(12). Suppose 0*v + v = -4*b + 79, 4*b - r*v - 67 = 0. Calculate the remainder when 32 is divided by b.
13
Let o(h) = -2*h + 15. Let t be o(4). Let x(m) = -m**2 + 13*m + 12. Calculate the remainder when x(t) is divided by 28.
26
Suppose 5*q + 0*y = -3*y + 186, -5*q + 189 = 2*y. Let s = q + -14. Suppose 9*r - 50 = 67. Calculate the remainder when s is divided by r.
12
Calculate the remainder when (-14 - 1)/(2/(-6)) is divided by (-4096)/(-320) + 1/5.
6
Let s be (-4)/2*(-2 - (-4 - -3)). Calculate the remainder when s - -113 - (1 - 0)*-3 is divided by 15.
13
Suppose 4*u - 2*o - 16 = 0, -2*u + 5*o - 2 = -6*u. Calculate the remainder when 67 is divided by u.
1
Suppose 12*p - 2196 = -516. What is the remainder when p is divided by 46?
2
Suppose 2*i + 3 = -i, 4*i + 92 = 4*j. Suppose 2*z + 2*y = j, -72 = -4*z + 2*y + y. What is the remainder when z is divided by 6?
3
Suppose b = 3*y - 48, 5*y + 11*b - 8*b = 66. What is the remainder when y is divided by 1/(-5) + (-42)/(-10)?
3
Suppose -12953 = -56*i + 12023. What is the remainder when i is divided by 91?
82
Suppose 4*y = 2*l + 64, y + 3*l = 16 - 0. Suppose -11*p - 195 = -y*p. Let z = -27 + p. What is the remainder when 45 is divided by z?
9
Let g = 614 - 579. Calculate the remainder when 66 is divided by g.
31
Let c = 2048 + -1821. Calculate the remainder when c is divided by 11.
7
Suppose 0 = 7*p - 92 + 8. Suppose 2*h - p = -3*z, -h + 2*h - 32 = 5*z. Calculate the remainder when 31 is divided by h.
7
Suppose 2*q - q - 72 = 0. Let u = -12 + 31. Suppose 0 = 2*j - 6, -h + j = -j - u. Calculate the remainder when q is divided by h.
22
Let s(t) = 4*t**3 + t**2 + 2*t + 1. Let g be s(-1). Let w be (3/2)/((-1)/(-2)). Let h = w - g. Calculate the remainder when h is divided by 3.
1
Let w = 131 + -127. Suppose -w*a - 96 = -4*q, 4*q - 3*a = 7*q - 102. What is the remainder when 110 is divided by q?
23
Let v(g) = -2*g**2 + 95*g + 172. Calculate the remainder when v(45) is divided by 16.
13
Let r = -886 - -941. What is the remainder when 162 is divided by r?
52
Let p(j) = -22*j + 65. Calculate the remainder when p(-6) is divided by 23.
13
Suppose 2*q + 0 - 34 = 0. Let n be (-9)/(-36) + 54/8. What is the remainder when 66*4/(n + 1) is divided by q?
16
Suppose -3*r + 3 - 6 = 0. Let i(a) = 23*a**2 - 2*a - 1. Suppose -642 = -8*b - 570. What is the remainder when i(r) is divided by b?
6
Suppose 8*n - 26*n + 612 = 0. What is the remainder when n is divided by 18?
16
Let s(c) = -c**2 + 15*c - 30. Let z be s(12). Let v = -7 + 3. Let w = v + z. Calculate the remainder when 7 is divided by w.
1
Let t = -164 - -200. Let f(y) = 0 + 2 - 1 - 4*y. Calculate the remainder when t is divided by f(-3).
10
What is the remainder when 313 is divided by 30/4*(-7)/3*-2?
33
Suppose 2*g = -3*s + 225, -g + s + s = -102. Suppose -w + g = w. What is the remainder when w is divided by 11?
10
Suppose 0 = -2*n + 6*n, 2*q + 2*n + 60 = 0. What is the remainder when 16 is divided by (-304)/q - (8/15)/4?
6
Suppose -3*m + 1667 = 2*y, 4*m - 2*y - 306 - 1926 = 0. What is the remainder when m is divided by 80?
77
Let u = -47 + 42. Calculate the remainder when 1/(-2)*(-176)/4 is divided by (-28)/u - ((-8)/20 + 1).
2
Let z = -339 + -109. Calculate the remainder when z/(-10) + 1/5 is divided by 12.
9
Let s = 552 - 354. What is the remainder when s is divided by 20?
18
Let j(l) = 1 - 2*l + 13*l + 49*l + 6*l. Let m be j(1). Let n = m + -9. Calculate the remainder when n is divided by 10.
8
Let m = 227 - -150. Calculate the remainder when m is divided by 42.
41
Suppose -8*p + 300 = -5*p + 4*a, -5*a + 15 = 0. What is the remainder when p is divided by 19?
1
Suppose -76*b = -71*b - 20. Suppose 44 = 2*s - 4*p, -b*s + 20 = -3*s - 4*p. What is the remainder when 38 is divided by s?
14
Suppose -4*x - 3*f + 30 = 0, -4*f + 26 = 4*x + f. What is the remainder when 40 is divided by x?
4
Let t = -815 + 841. What is the remainder when 112 is divided by t?
8
Let i(a) = -12*a**3 + 2*a + 1. Suppose 2*g + 3*g = -15, 0 = 2*f + 2*g + 8. Calculate the remainder when 30 is divided by i(f).
8
Let j = -25 + 5. Let w = 28 + j. What is the remainder when 38 is divided by w?
6
Let o be (-4 + 3 + -3)*-1. Suppose 0 = -2*l - u - 4*u + 30, 2*l - 28 = -o*u. Calculate the remainder when l is divided by 2.
0
Suppose -9*d + 386 = 44. Calculate the remainder when d is divided by 22.
16
Let o = -16 - -63. Let u = -3 - -5. Suppose -u*z = -z - 16. Calculate the remainder when o is divided by z.
15
Let k(a) = 82*a + 349. Calculate the remainder when 229 is divided by k(-4).
19
Suppose -18*g + 1145 + 943 = 0. Calculate the remainder when g is divided by 30.
26
Suppose -2*t + 106 = -72. What is the remainder when t is divided by (3 - -11)/7 + (12 - 1)?
11
Let x = -651 - -725. What is the remainder when 664 is divided by x?
72
Let b(u) = -u**3 - 3*u**2 - 3*u + 1. Calculate the remainder when 4 is divided by b(-2).
1
Let u = -20 + 62. Suppose t - 15 - 1 = 0. Let k = t + u. What is the remainder when k is divided by 20?
18
Suppose c - 9 = 4*a, 4*c - 3*a = 2*a + 58. Calculate the remainder when c is divided by 15.
2
Let c = -18827 - -18891. What is the remainder when c is divided by -1 + 0 + 1 + 10?
4
Let w = -285 + 304. Calculate the remainder when 246 is divided by w.
18
Let z(u) = 130*u + 2. Calculate the remainder when z(1) is divided by 41.
9
Let t(c) = c**2 - 2*c + 1. Let l be t(2). Let j(f) = 4*f**3 + f**2 + f - 1. What is the remainder when (-1586)/(-234) + (-2)/(-9) is divided by j(l)?
2
Let b = -93 - -15. Let v = b + 164. What is the remainder when v is divided by 18?
14
Let o(g) = g**3 + 4*g**2 + 4*g + 3. Let i be o(-3). Let h be i + (-3 - -3) - -2. Suppose 0 = r + h*r - 111. Calculate the remainder when r is divided by 14.
9
Let k(w) = 14*w + 9. Calculate the remainder when 40 is divided