2
Let b = -124 + 256. Suppose x = 5*x - b. Let u = -19 + x. What is the remainder when u is divided by 4?
2
Suppose -2095 = -6*r + 167. Calculate the remainder when r is divided by 181.
15
Let z = -7557 - -7725. What is the remainder when z is divided by 29?
23
Let r = 2186 - 393. Calculate the remainder when r is divided by 895.
3
Let f(j) be the third derivative of j**6/120 + 17*j**5/20 + 2*j**4 + 13*j**3/6 + 378*j**2. Let h = 70 - 32. Calculate the remainder when f(-50) is divided by h.
37
Let f be ((-270)/8)/(45/(-240)). Let o = -163 + f. Suppose -186 = -5*i + u, -3*u = 3*i - 65 - 61. What is the remainder when i is divided by o?
4
Suppose 0 = 2*v + 5*t - 187, 4*v + 78*t - 304 = 82*t. Suppose -3*l - 159 = -4*l. Calculate the remainder when l is divided by v.
78
Suppose -10*y + 9*y + 2 = 0. Suppose y*z - 4*z + 18 = 0. Suppose 4 + 31 = q. What is the remainder when q is divided by z?
8
Let w(z) = 2*z**3 - 8*z**2 + 4*z + 1. Suppose -130*i + 121 + 652 = -1437. Calculate the remainder when w(5) is divided by i.
3
Let f = 70 + -67. Let z = 0 - f. What is the remainder when -1*z/1*3 is divided by 7?
2
Suppose -12*p + 13*p - 20 = 0. Suppose 86*b = -100 + 616. What is the remainder when p is divided by b?
2
Suppose 2538 = -7*a + 10*a. Suppose 5*f - a = -f. Let i = f - 91. What is the remainder when 147 is divided by i?
47
Let l = 153824 - 153818. Suppose 31 = 2*h - 5*j, -5*j + 41 + 40 = 2*h. Calculate the remainder when h is divided by l.
4
Calculate the remainder when 447 is divided by (1/(13/1677))/(15/10).
17
Let g(h) = h**3 - 18*h**2 + 17*h + 32. Let b(t) = 2*t**3 - 35*t**2 + 33*t + 61. Let r(u) = 6*b(u) - 11*g(u). What is the remainder when 250 is divided by r(11)?
12
Suppose 5*u + 80 = 4*h + 6*u, -40 = -2*h + 3*u. What is the remainder when 76 is divided by (-24)/h*520/(-24)?
24
Suppose 5*b + 5*t - 610 = 3*t, 3*t = 4*b - 465. Suppose -2*x + b = 4*x. Calculate the remainder when 95 is divided by x.
15
Let f(k) = -8*k**3 - 7*k**2 - 42*k - 109. Calculate the remainder when f(-5) is divided by 15.
11
Let u(y) = -12*y + 32. Let p be u(0). Suppose 5*z - p = -2*b, 4*b + 2*z = -2*z + 88. Calculate the remainder when 43 is divided by b.
17
Let t(u) = u**2 - 3. Let a be ((-11 - -2)/9)/(2/(-8)). Calculate the remainder when 62 is divided by t(a).
10
Let h = -4444 + 4590. Calculate the remainder when h is divided by 45.
11
Suppose 30*y + 12*y - 294 = 0. Let q(i) = -3*i**2 + 30*i - 6. Calculate the remainder when q(y) is divided by 22.
13
Let q be (7 + -8)/((7/(-29 - 6))/1). Let i(y) = 3*y**2 - 8*y - 2 + 3 - 15. Calculate the remainder when 38 is divided by i(q).
17
What is the remainder when (-2)/((-4)/201)*(-667 + 671) is divided by 24?
18
Let r(f) = f**3 - 8*f**2 - 47*f - 7. Let p be r(12). Suppose 270 = -p*z + 1310. Calculate the remainder when z is divided by 30.
28
Let s(q) = -q**3 - 13*q**2 - 5*q + 2. Let k be s(-12). Let l = k - -89. Calculate the remainder when 48 is divided by l.
6
Let y(l) = 3*l**2 + 60*l + 12. Let i be y(-8). Let k = -187 - i. What is the remainder when k is divided by (-18)/4*(-4 + -6)?
44
Let v = 2755 - 1909. Calculate the remainder when v is divided by 53.
51
Let c(o) = 391*o - 578. What is the remainder when c(2) is divided by 69?
66
Let f = -97 + 72. Let d be -3*f/15 + -1. Calculate the remainder when 18 is divided by (-63)/(-36) + 1/d.
0
Suppose -12*d + 35 = -7*d. Suppose 5*r - d = 3*c - 0*r, -20 = -5*c + 2*r. Calculate the remainder when (2*(-7)/(-35))/(2/140) is divided by c.
4
Suppose -2*d + 414 = 5*a - a, 4*d - 323 = -3*a. Let u(c) = -4*c - c**2 + 3*c - 2 + 3 - a*c**3 - 112*c**3. Calculate the remainder when u(-1) is divided by 54.
52
Suppose o = -3*x + 28, o + 0 = -x + 16. Calculate the remainder when (264 - 3)*(-4)/(-3) is divided by o.
8
Suppose -1 = -6*s - 55. Let h be (-57)/s - 28/21. Let f(p) = 6*p + 3. What is the remainder when f(h) is divided by 18?
15
Suppose 0 = 41*w - 29*w - 156. Let s(b) = -b**3 + 14*b**2 - 7*b - 46. What is the remainder when 57 is divided by s(w)?
25
Let i = -5023 + 5027. Calculate the remainder when 638 is divided by i.
2
Suppose -858 = -281*a + 7853. Let p = -14 + 16. What is the remainder when a is divided by p?
1
Let a be 7/(-77) - 34/(-11). Suppose -3*h - 450 = -3*k, 6*h - 4*h - 460 = -a*k. Calculate the remainder when k is divided by 13.
9
Let d = -30 + 36. Suppose -6 = -j - h, 2*j - 2 - 6 = -h. Suppose -j*t - w + 25 = 0, -4*t + 5*w + 44 - 1 = 0. What is the remainder when t is divided by d?
0
Let v(t) = -817*t + 8999. Let w = -15 + 30. What is the remainder when w is divided by v(11)?
3
Suppose 6*c - 392 - 268 = 0. What is the remainder when c is divided by (-224)/(17 + -31) - -33?
12
Let y = 1001 + -532. Calculate the remainder when y is divided by 126.
91
Let z = 1969 - 1287. What is the remainder when z is divided by 57?
55
Suppose -7 = 3*z - 4*z. Let c(j) = 50*j - 288. What is the remainder when 370 is divided by c(z)?
60
Suppose -2*w + 5 = -5*j, 26*w + 5*j = 29*w - 10. What is the remainder when 64 is divided by w?
4
Let f(q) = -28*q**2 + 4*q - 34. Let h be f(4). Let i = h - -511. Calculate the remainder when i is divided by 38.
7
Let a be -69 - (1 - -1) - (-18 - -13). Let h = a - -122. Suppose 0 = -5*x + 59 + 16. What is the remainder when h is divided by x?
11
Let u = -161 - -154. Calculate the remainder when 135 is divided by (u - -3) + (-2 - 0)*-37.
65
Let x = 8428 - 7472. Calculate the remainder when x is divided by 137.
134
Let s(y) = -29*y - 5 + 53*y + 35*y - y**3 + 8 - 13*y**2. Calculate the remainder when s(-17) is divided by 29.
11
Suppose 43*j + 24 = 49*j. Suppose 0 = j*y, 46 = -q + 3*q + 5*y. Calculate the remainder when 158 is divided by q.
20
Let h(b) = -4*b - 17 + 53*b + 13 + 175*b. Calculate the remainder when h(1) is divided by 37.
35
Suppose 5*w - 2*m = 5, -2*w - m = 2*w - 17. Suppose -n = -4*r + 671, 68 = w*r + 4*n - 440. Calculate the remainder when r is divided by 43.
39
Let q(g) = -g**3 - 17*g**2 - 57*g - 1468. Calculate the remainder when q(-22) is divided by 79.
73
What is the remainder when 587 is divided by (-11396)/(-38) - 2 - 2434/(-23123)?
289
Let h(b) = 739*b + 53227. Suppose -a = 2*i + 2*i - 20, 5*a = -4*i + 164. What is the remainder when a is divided by h(-72)?
17
Suppose 1041 = -20*l + 15401. Calculate the remainder when l is divided by 68.
38
Let w(c) = c**3 + 17*c**2 - 8*c - 16. Let d = -1806 + 1847. What is the remainder when w(-17) is divided by d?
38
Suppose -2*u + 436 = 4*r, -545 = -5*r - 0*u + 2*u. Suppose 17*s - 1278 = 6134. Let m = s - 414. Calculate the remainder when r is divided by m.
21
Let c(n) = 15*n + 223. Calculate the remainder when 1076 is divided by c(-3).
8
Let k(r) = 3*r**3 - 160*r + 4*r**2 + 18 + 162*r + 20*r**2. What is the remainder when (-4)/(-10) - (-23)/5 is divided by k(-8)?
1
Let l(x) = 29*x**2 - 14*x + 6. Let s be l(-6). Suppose 11*n = -3*n + s. Calculate the remainder when n is divided by 32.
17
Let i(m) = -2*m**3 + 9*m**2 - 2*m - 4. Let l be i(4). What is the remainder when (-36)/81 - (-310)/9 is divided by l/(-6) + 4/(-12)*-29?
7
Let v = -23 - -28. Suppose -3*g + 4*f + 133 = 0, f + v - 40 = -g. Calculate the remainder when g is divided by 1/(-1)*4 + (92 - 68).
19
Let a be (-3)/(-2)*74300/75. Suppose 4*z + 1899 = 3*s, -2*z - 1665 = -5*s + a. Calculate the remainder when s is divided by 18.
17
Suppose 3*q = -12 - 18. Let m be (8/q)/(2/(-1220)*2). Suppose -29*y = -33*y + m. What is the remainder when y is divided by 16?
13
Suppose 336 + 1757 = 7*w. Let n = w - 246. Calculate the remainder when n is divided by 41.
12
Suppose -110*s = -11021 - 3314 - 36265. Calculate the remainder when 468 is divided by s.
8
Let n(q) = -35*q - 4699. Calculate the remainder when 773 is divided by n(-135).
19
Let q be (-2)/4 + (-25606)/28 + -7. Let n = 980 + q. What is the remainder when n is divided by 15?
13
Suppose -5*v + 2*i + 9985 = 0, 11*v - 10015 = 6*v - 4*i. Calculate the remainder when v is divided by 5.
4
Suppose -3*v = 2*m - 83, -2*m + 84 = 10*v - 8*v. What is the remainder when (-15)/(-10)*m*(6 - 0) is divided by 10?
7
Let l(i) = 2*i**3 - 106*i**2 + 51*i + 221. What is the remainder when l(53) is divided by 45?
44
Suppose -y + 131 - 10 = -151. Calculate the remainder when y is divided by 94.
84
Suppose -120*v - 37