 = -6*f + 2*b, -2*f - 929*b + 19 = -932*b. Calculate the remainder when 316 is divided by f.
10
Let p be (-7)/(-1) + -9 + 10. Suppose -p*o = -4*o - 920. Calculate the remainder when o is divided by 39.
35
Suppose -2*i + 26 = 136*p - 134*p, -p - 5*i = 3. Let q(x) = -x**2 - 11*x. Let r be q(-12). What is the remainder when r/30*(-120 + 0) is divided by p?
14
Let u = 8675 - 8451. Calculate the remainder when u is divided by 67.
23
Let m(c) = -c**3 + 52*c**2 + 102*c - 1562. What is the remainder when m(53) is divided by 130?
125
Let l be (546/(-65))/((-4)/70). Suppose 3*y = l + 42. Let o(j) = j**3 - 2*j**2 + 4*j + 1. Calculate the remainder when y is divided by o(3).
19
Let c = -48 + 78. Let v = c + -27. Suppose 0 = -h + 4*j - 8, -6*h = -11*h + v*j + 45. What is the remainder when 31 is divided by h?
7
Let w(l) = 2*l**3 - 14*l**2 + 9*l + 13. Calculate the remainder when w(9) is divided by -5 + 204/17 - (-6 + -1).
12
Let l(h) = -h**3 + 123*h**2 + 271*h - 2554. Calculate the remainder when 5459 is divided by l(125).
63
Suppose -6*h + 275 = -h. What is the remainder when (-40)/1*1075/(-200) is divided by h?
50
Suppose 884 = 7*p - 495. Let q = p + -183. Suppose -2*y - 3 + 13 = 0. What is the remainder when q is divided by y?
4
Suppose 5*o + 3*c = 91, -75*c + 79*c + 77 = 5*o. Calculate the remainder when 65 is divided by o.
14
Suppose 0 = 3*r - 9, -j - 29 = -7*r + 4*r. Suppose 0 = -9*o + 12*o + 369. What is the remainder when (o/(-4))/(5*(-1)/j) is divided by 18?
15
Let a = -11266 + 11296. Calculate the remainder when 297 is divided by a.
27
Suppose 9*n + 18*n = -9*n. Suppose n = 5*p - 6*f + 2*f - 909, -3*p + 535 = -5*f. What is the remainder when p is divided by 39?
29
Let o(k) = -k**3 - 88*k**2 + 268*k - 441. What is the remainder when 17 is divided by o(-91)?
3
Suppose 4*m = 2*b - 90, -2*m + 201 = 28*b - 23*b. Let y = 53 - b. Calculate the remainder when 76 is divided by y.
4
Let c(f) = 3*f**2 + 64*f + 344. What is the remainder when 4748 is divided by c(-14)?
32
Let w(i) = 9*i**2 + 27*i - 37. What is the remainder when w(10) is divided by 72?
53
Let i(q) = -q**3 + 19*q**2 + 48*q - 28. Let o be i(22). Let r = o - -440. What is the remainder when 222 is divided by r?
14
Let n = 182 + 877. Suppose -3*g = -n - 822. What is the remainder when 40 is divided by g/44 + 2/(-8)?
12
Suppose 2*g = -5*f - 3*f + 2538, f = 0. What is the remainder when g is divided by 51?
45
Let l(s) = 10*s + 2. Let g be l(-1). Let j = g + 10. Suppose -j*a = 5*i - 0*i - 87, 4*a + 47 = 3*i. Calculate the remainder when 32 is divided by i.
15
Let h(u) = 9*u - 15. Let m be h(19). Suppose -2*g - 112 - m = 5*c, 0 = 4*c - 3*g + 196. Let r = -29 - c. Calculate the remainder when r is divided by 8.
7
Suppose 52*v - 47*v = -l + 86, 750 = 7*l - 2*v. Calculate the remainder when 1695 is divided by l.
105
Let m(p) = -34*p + 55. Let k be m(-5). Suppose -b + k = 21*f - 20*f, f = 3*b - 655. Calculate the remainder when b is divided by 37.
35
Let l be (1845/1)/5 - -5. Let c = l + -360. Calculate the remainder when 51 is divided by c.
9
Let r(o) = 73*o**2 + 2*o**3 - 14 - 70*o**2 - 3*o**3 + 10*o. Suppose 3*n - 48 = 2*n. Calculate the remainder when n is divided by r(4).
8
Suppose -5*u + 2*y = -133777, 5*y - 35126 = -2*u + 18437. What is the remainder when u is divided by 223?
222
Suppose 5*m - 42 = -u, -4*u + m - 5*m + 120 = 0. What is the remainder when 183 - 14/(35/(-5)) is divided by u?
23
Suppose -3*n - m + 2 = m, m + 2 = 0. Suppose -4*u + 54 = n*b, -3*u = -4*b - 4*u + 129. What is the remainder when b is divided by 24?
9
Suppose -21*a + 201 = -639. Calculate the remainder when 49 is divided by a.
9
Let c(m) = -m**3 - m**2 + 142*m + 543. Suppose 175 = 3*x + 2*g, 3*g = -4*x + 5*g + 238. Calculate the remainder when x is divided by c(-4).
13
What is the remainder when -57*(-154)/33*(-6)/(-4) is divided by 383?
16
Suppose 126 = 15*b + 3*b. Suppose x + 3*t - 35 = 0, b*t - 5*t = 4*x - 98. Calculate the remainder when 154 is divided by x.
24
Suppose 4*y + 3*i - 462 = 0, -3*y + 575 = 2*y + 5*i. Let m be (-10)/3*(3 - (-90)/(-5)). Let s = 74 - m. What is the remainder when y is divided by s?
21
Let n(t) = 11*t + 6. Let a(d) = -7*d - 4. Let s(r) = 8*a(r) + 5*n(r). Let h be s(-4). What is the remainder when 26 is divided by -3 + h - (-8 + -1)?
2
Suppose -3*k = 10 + 2. Let t be (-30)/25*10/k. Suppose 4*o = -5*m - o + 80, t*m = 3*o + 24. What is the remainder when 71 is divided by m?
11
Suppose -726*f = -747*f + 840. Calculate the remainder when 630 is divided by f.
30
Let v = 33 - -19. Let p = -48 + v. Suppose 3*i = y - p, 4*y - 44 = y + i. Calculate the remainder when 31 is divided by y.
15
Let k = -157 + 173. Let y = 65 + -41. Let j = k + y. What is the remainder when 152 is divided by j?
32
Suppose -g + 65 = 2*p - 0*g, 59 = 2*p - 5*g. Suppose -3*x - 2*k = -p - 71, -27 = -x + 3*k. What is the remainder when x is divided by 22?
11
Calculate the remainder when 6888 is divided by (-705)/(-11) + 100/110.
63
Let m be (-30)/(-6) - (1 - 347). Suppose -9*l + 18*l = m. Calculate the remainder when l is divided by 7.
4
Suppose 6*x = 2*x + 3*s + 22, -3*x + 6 = 3*s. Suppose d - 82 = -x*z, 3*z - 21 + 6 = 0. Calculate the remainder when d is divided by 9.
8
Let b(l) = -l**3 + 96*l**2 - 454*l + 189. What is the remainder when b(91) is divided by 36?
28
What is the remainder when 5/(-65) - 466455/(-195) is divided by 19?
17
Let n(q) = -9228*q + 9242*q + 10 - 7*q**2 + q**3 - 5. Calculate the remainder when 113 is divided by n(4).
9
Let a(b) = b**2 + 3*b + 2. Let n(q) = 39 + q + 42 - 92. What is the remainder when a(-5) is divided by n(19)?
4
Let c(f) = -2*f**3 - 85*f**2 - 43*f - 19. Let g(j) = -j**2 - 11*j - 4. Suppose 4 + 5 = -y. What is the remainder when c(-42) is divided by g(y)?
9
Let u(t) = -t**2 + 3*t + 18. Let k be u(-3). Let w be 19*(k/2 + 10 + -12). Calculate the remainder when (-3)/((-6)/(-4))*(w + -3) is divided by 24.
10
Suppose 0 = u + 5, 2*n - 2*u - 7 - 9 = 0. Let q(m) = -102 + 119*m - 222*m + 113*m. Calculate the remainder when q(12) is divided by n.
0
Suppose 3831 = 3*k - t, k + t - 1934 + 665 = 0. Calculate the remainder when k is divided by 71.
68
Suppose -5*d - 14 = n + 3, 4*d - 2*n + 22 = 0. Suppose -12*o - 1 = -13. What is the remainder when 2690/25 - o - d/10 is divided by 27?
26
Suppose 126*a - 7 = 125*a, 0 = 5*q + 4*a - 5158. Calculate the remainder when q is divided by 335.
21
Let x(d) = 6*d**2 - 18*d + 2. Let p(j) = 2*j + 2. Let z(i) = 4*p(i) + x(i). What is the remainder when z(3) is divided by 5/10 + (-11)/(-2)?
4
Let m(q) = -q**2 + 13*q + 574. Calculate the remainder when 630 is divided by m(28).
14
Let d = 412 - 659. Let c = 10 - d. What is the remainder when c is divided by 65?
62
Let d(w) = -w**3 + 43*w**2 + 13*w + 10. Let l(o) = -o**3 + 44*o**2 + 12*o + 9. Let m(x) = -3*d(x) + 4*l(x). Calculate the remainder when m(47) is divided by 8.
5
Suppose -285*s + 280*s = -b + 2976, -3*b = -5*s - 8948. What is the remainder when b is divided by 36?
34
Suppose -4*s = c - 297 + 313, 3*c = 2*s + 36. Calculate the remainder when 1855 is divided by c.
7
Let x(j) be the third derivative of j**6/120 + j**5/15 - j**4/8 + 7*j**3/6 + 80*j**2 + 2. What is the remainder when 142 is divided by x(-4)?
9
Suppose -2*a - 2*k + 16 = 0, -5*k + 6 = -5*a - 4. Suppose 2*l - q - 22 = a*q, -4*q + 20 = 0. What is the remainder when 113 is divided by l?
8
Let z(i) = i + 13. Let f be 28/10 - 6/(-30). Suppose -u + 4 = 4*x - 6, 2*x + 2 = f*u. Calculate the remainder when z(-9) is divided by u.
0
Suppose 4*k = 1068*o - 1071*o + 2254, -5*k + 2827 = -o. Calculate the remainder when k is divided by 151.
112
Suppose 3*i = 3*h - 37 - 236, -2*i + 8 = 0. Suppose 5*l + h = 3*t, 2*l - 4*l = -4*t + 136. What is the remainder when t is divided by 9?
8
Let u be (-2)/9 - 3948/(-27). Let h = -57 + u. Suppose -5*p - 66 = -3*v - 7*p, 3*v + 3*p = 72. Calculate the remainder when h is divided by v.
17
Let z = -128 - -24. Let w = z - -108. What is the remainder when 18 is divided by w?
2
Let u = -2972 - -2987. Let c = 193 + -136. What is the remainder when c is divided by u?
12
Let o(x) = x**3 - 7*x**2 - 9*x - 11. Let y(p) = 3*p - 6. Let b be y(5). Calculate the remainder when o(b) is divided by ((-2)/4)/(6/(-288)).
22
Let d(l) = l**2 + 36