Let c(r) = r**3 - 103*r**2 - 307*r - 797. What is the remainder when c(106) is divided by i?
59
Let h = -314879 + 315392. Calculate the remainder when h is divided by (2/4)/((-2)/(-44)).
7
Let r(x) = 2*x**2 - 2. Suppose 4*s + 2256 = -0*s + 4*o, -5*o - 540 = s. Calculate the remainder when 18/(-8)*s/42 is divided by r(3).
14
Let g = 10904 + -10868. What is the remainder when 3347 is divided by g?
35
Suppose 159*y = 211*y - 4784. Calculate the remainder when 199 is divided by y.
15
Let a = -81 - -116. Suppose 4*o + o = a. What is the remainder when (-1)/3 - (9744/(-36))/29 is divided by o?
2
Let g = -89 - -107. Suppose 0 = -5*o - 0*o - 25, j + 5*o = -g. Let c = -18 - -26. What is the remainder when c is divided by j?
1
Suppose 5*w - 43 = -3*j, 2*j = -w + j + 7. Suppose -86 = -w*h + 68. Calculate the remainder when h is divided by 7.
0
Let n(b) = 8*b + 156. Let u = 85 + -104. Calculate the remainder when 78 is divided by n(u).
2
Calculate the remainder when 2118 is divided by 110/(-15)*(32/256 - 73/8).
6
Suppose -983 = -i + 4*z, -2*z + 3971 = 4*i - 5*z. Let h = i + -923. Calculate the remainder when 203 is divided by h.
59
Let n(w) = -3*w**2 + 4*w - 16. Suppose 3*u - 4*x - 2 - 3 = 0, -u - 10 = x. Let m be n(u). Let i = -57 - m. Calculate the remainder when i is divided by 14.
12
Calculate the remainder when 3363 + -10 + -1 - (9 - 0) is divided by 27.
22
Suppose 5*z - 3*k = 131, 2*z - 2*k - 53 = -k. Let q(f) = -3*f - 28. Let n(g) = g**2 + 9*g + 7. Let v be n(-6). What is the remainder when z is divided by q(v)?
3
Suppose 118 = -6*x + 4*x. Let u = 59 + x. Suppose 3*a - 93 + 57 = u. What is the remainder when 95 is divided by a?
11
Suppose 5*g - 4*p - 194 = 0, -1862*g + 414 = -1850*g - p. Calculate the remainder when 391 is divided by g.
17
Let u be 44/418 + (-2 - (-72)/38). Let a(k) = 2*k**3 - 2*k**2 - 4*k + 204. What is the remainder when a(u) is divided by 9?
6
Suppose 3*c = 3*t + 12, 0 = 4*c - 0*c - 5*t - 17. Suppose -3*s - 27 = -c*r, 6*r - 4*r + 5*s = -17. Calculate the remainder when 41 is divided by r.
1
Suppose 6*a - 4*o - 1672 = a, 2*a - 676 = -2*o. Calculate the remainder when a is divided by 41.
8
Let g be 2/(3/486*(-20)/15). Let f = g + 344. Suppose -3*m + 2*m + 26 = 0. What is the remainder when f is divided by m?
23
Let w = 11774 + -10787. Calculate the remainder when w is divided by 491.
5
Suppose 79 = 5*y + 5*j - 41, 2*y - 5*j = 90. What is the remainder when y is divided by (1 - 3)*6*-1?
6
Suppose g + 119 = 165. Let z(q) = -14*q + 124. What is the remainder when g is divided by z(8)?
10
Calculate the remainder when (-138)/(-23) - (2 + -1*7537) is divided by 184.
181
Suppose 44 = 2*p + i, -5*p - 5*i = -3*p - 60. Let c(y) = y**2 - 18*y + 2. Let q be c(p). Let s = -18 + q. What is the remainder when s is divided by 8?
0
Let m = 15 + -8. Suppose 2*l - 110 = m*l. Calculate the remainder when 95 is divided by (-1089)/l*4/6.
29
Let k(d) = 4*d + 5456. Calculate the remainder when k(-63) is divided by 31.
27
Let h = 436 - 302. Suppose 3*o + 42 = 3*z, -2 + 6 = 4*o. What is the remainder when h is divided by z?
14
Let f = -60 + 62. Suppose -f*j = -25 - 9. Suppose 0 = 6*i - j*i + 550. Calculate the remainder when 196 is divided by i.
46
Suppose 3*o - o = 0. Suppose 0 = 4*n - o - 12. Let a = 16 + n. What is the remainder when 75 is divided by a?
18
Let p = 1464 - 1376. Calculate the remainder when 199 is divided by p.
23
Let r(a) = -a**3 + 8*a**2 - 15*a + 7. Let v be r(5). Suppose -v*d - 24 + 465 = 0. Calculate the remainder when d is divided by 3.
0
Suppose 0 = -3*k + 6, -7*p + 10 = -3*p - k. Suppose -248 = -34*v + 534. Calculate the remainder when v is divided by p.
2
Suppose -85*u = -305*u + 143*u + 1078. Let f(i) = -4*i + 2*i**2 + 4 - 4. Calculate the remainder when u is divided by f(3).
2
Let i = -37 + 48. Suppose 3*u + 134 = -4*d + 380, 3*d + 5*u - 190 = 0. What is the remainder when d is divided by i?
5
Let j(m) = 1 + 0 + 13*m + 28*m. Suppose 3*u + 110 = -4*b + 9*b, b = -2*u + 22. Calculate the remainder when j(1) is divided by b.
20
Let v(i) = i**2 + 6*i - 4. Let p(t) = -28 + t**2 - 6*t + 13*t + 24 + 0*t**2. Let m(d) = 5*p(d) - 6*v(d). Calculate the remainder when 18 is divided by m(0).
2
Let t be 15 - -3 - (5 + -2 + -3). Suppose 14 - t = -l. What is the remainder when (-36)/(-144) + 1/l*259 is divided by 22?
21
Suppose -9*x - 98 = -13*x + 3*p, -40 = -2*x - 3*p. Calculate the remainder when 489 is divided by x.
6
Suppose -625 = 5*f + 4*n, -4*f - n = -2*f + 250. Let k = -118 - f. What is the remainder when k is divided by 1?
0
Suppose -119*t + 829 + 339 = -115*t. Calculate the remainder when t is divided by 236.
56
Let q = 92 - 155. Let y = -57 - q. Suppose y*l - 117 - 33 = 0. Calculate the remainder when l is divided by 3.
1
Let k = 586 - 418. Suppose -25*b + k = -18*b. What is the remainder when b is divided by 7 + -5 + 2 + 1?
4
Suppose -2 = -9*j + 244 + 15. What is the remainder when 2433 is divided by j?
26
Let f = -328 - -325. Calculate the remainder when 3012/48 - f/12 is divided by 16.
15
Suppose -2183 = -14*k + 1765. Calculate the remainder when k is divided by 9.
3
Calculate the remainder when (-8)/6 + (-10575)/(-135) is divided by 21.
14
Suppose -209*x - 65444 + 176005 = 0. Calculate the remainder when x is divided by 20.
9
Let m be 6 + ((-2)/((-4)/6) - 5). Suppose 2*w + d - 16 = m*d, -d - 38 = -3*w. Let f = w - -16. Calculate the remainder when 117 is divided by f.
27
Suppose 117*u - 112*u - 10 = 0. Suppose -u*x = -2*o - 22, 5*o - 2*x + 53 = x. Let f(n) = -n + 10. What is the remainder when f(o) is divided by 5?
0
Calculate the remainder when 1214 is divided by 1530/40 + (-1)/4.
36
Suppose 32*t + 0*t = 96. Suppose -5*w + 65 = 3*g, t*g = -17 + 2. Suppose -f = -5*d - 73, -2*d = 3*f - 122 - 63. What is the remainder when f is divided by w?
15
Let u be 2 + -2 + 6 + -5. What is the remainder when (u - -499)*13/((-325)/(-10)) is divided by 51?
47
Suppose -5*h = b + 38 - 30, 2*b - 5*h = 29. Suppose -s - 86 = -2*g, -b - 1 = -2*s. Calculate the remainder when g is divided by 32.
13
Let i(d) = -4*d**2 - 3 - 7*d**3 + 7*d + 20*d**3 - 5 - 9*d**3. What is the remainder when i(2) is divided by 16?
6
Suppose -4*k - 242 + 770 = 0. Suppose -8995 = -182*o + 4171 - 4794. Calculate the remainder when k is divided by o.
40
Suppose -65 = -5*v + 5*m + 35, -3*v - m = -40. Let x be (-2 - -5)*(-7)/(-12)*4. What is the remainder when 2/11 - ((-1690)/22 + x) is divided by v?
10
Suppose 8*d - 837 = 11*d - 1434. What is the remainder when d is divided by 40?
39
Let d = -8044 - -8360. What is the remainder when d is divided by 288?
28
Suppose -17 = -9*r + 1. Suppose -6 = 4*y + r, 5*q - y - 232 = 0. Calculate the remainder when 134 is divided by q.
42
Let z(n) be the second derivative of -5/6*n**3 - 19*n + 1/12*n**4 + 4*n**2 + 0. Calculate the remainder when 28 is divided by z(5).
4
What is the remainder when 234 is divided by (-920)/(-69)*18/4?
54
Calculate the remainder when 112 is divided by (8*5/25)/(252/(-260) + 1).
8
Let n(c) = 5*c**2 + 30*c - 35. Let j be n(-7). Suppose -1188 = -9*k - j*k. Calculate the remainder when k is divided by 58.
16
Let c = 127 + -12. Suppose 13*x - c = 8*x. What is the remainder when 58 is divided by x?
12
Let w be 108/378 - ((-19946)/14 + 1). Suppose 0 = -25*y + 9*y + w. Calculate the remainder when y is divided by 25.
14
Let v = -204 - -229. Suppose 0 = -v*o + 32 + 318. What is the remainder when 47 is divided by o?
5
Let h = 135 - 159. What is the remainder when h/9*30/(-4) is divided by 2?
0
Suppose 1271*f = 1245*f + 29016. Calculate the remainder when f is divided by 74.
6
Calculate the remainder when (256/12)/((-64)/(-672)) is divided by 53.
12
Suppose 5*h = -66 - 134. Let p(i) = -i**3 - 17*i**2 + i - 16. Let s be p(-17). Let c = s - h. Calculate the remainder when c is divided by 6.
1
Suppose u - 330 - 157 = 0. Suppose -j + 5*m = -99 + 71, -j + 24 = -4*m. Calculate the remainder when u is divided by j.
7
Suppose 0 = -8*v - 126 + 366. What is the remainder when v is divided by 4/(-6)*-39*4/8?
4
Let a(t) = 2*t**2 + 15 + t - 4*t - 19 + 2*t**2. Let g be a(-3). Let f = g + -30. Calculate the remainder when f is divided by 6.
5
Suppose 0 = 5*n + 2*f + 8, 0*n + 12 = 2*n - 3*f. Suppose n*k - 5*k - 65 = 0. Let v = k - -35. C