*v + 3. Let o(p) = -p**2 + 10*p - 3. Let t(k) = 5*o(k) + 6*u(k). Calculate the remainder when 8*(2 + -4 - -3) is divided by t(4).
2
Suppose -h = h - 6. Suppose 4 = -2*r + h*r. Suppose -74 = 2*u + 4*m - 198, r*u - 2*m - 228 = 0. Calculate the remainder when u is divided by 15.
13
Let b(o) = -14 - o - 3*o + o + 68. What is the remainder when 10 is divided by b(16)?
4
Suppose -2*a - 189 = 5*x, -5*x + 236 = 5*a + 686. Let u = -57 - a. Let j = u - 12. Calculate the remainder when 34 is divided by j.
16
Let g(r) = 5*r**2 - 2*r - 2. Let s = 323 - 297. What is the remainder when g(-3) is divided by s?
23
Let s(y) = -y**3 - 7*y**2 - 8*y - 4. Let q be s(-5). Let t be (15 + q)/((-1)/(-9)). Suppose 0 = t*m + 97 - 349. Calculate the remainder when m is divided by 10.
8
Suppose -10*g - 39 = 181. Let o(x) = -x**2 - 25*x - 59. Calculate the remainder when 33 is divided by o(g).
5
Let y(s) = -s**3 + 14*s**2 + 5*s - 31. Calculate the remainder when 151 is divided by y(14).
34
Let l(h) be the second derivative of h**4/12 - h**3/6 + 11*h**2/2 + 5*h. Let u = -46 + 77. Calculate the remainder when u is divided by l(0).
9
Suppose 0 = -106*v + 93*v + 676. What is the remainder when 120 is divided by v?
16
Suppose 0 = -5*f + 10, 5*t = 2*t - 3*f + 63. What is the remainder when 180 is divided by t?
9
What is the remainder when 1/((-9919)/(-1652) - 6) is divided by 10?
6
Let j(d) = -3*d - 8. Let x be j(-4). Suppose 436 = 4*b - 2*y, 0 = x*b - 5*y - 0*y - 442. Calculate the remainder when b/5 + 6/15 is divided by 4.
2
Let c(z) = -z**2 + 9*z - 3. Let b be 24/(9/7 - 1). Suppose 0 = -3*g - 3 + b. What is the remainder when g is divided by c(3)?
12
What is the remainder when -422*(-2 + (1/2 - -1)) is divided by 53?
52
Suppose 4*w - 26 = 3*w + 4*f, w - 26 = 2*f. Suppose 0 = -u + 8 - 1. What is the remainder when w is divided by u?
5
Let n = 382 + -129. What is the remainder when n is divided by 60?
13
Suppose 17 - 10 = x. Suppose -3*d = -4*d + x. What is the remainder when 41 is divided by d?
6
Let z = -44 - -71. Suppose -49 = -y + z. Calculate the remainder when y is divided by 16.
12
Let b(f) = f**3 - 6*f**2 + 5*f - 1. Let o be b(5). Calculate the remainder when (98 - 2)*(o - -2) is divided by 33.
30
Let m(k) = -3*k - 18. Let d be m(-7). What is the remainder when 1990/20 - d/(-2) is divided by 34?
33
What is the remainder when (36/(-9))/((-20)/2515) is divided by 46?
43
Let l(y) = 2*y + 1. Let d be l(0). Let h be (6/(-4))/(6/32). Let j = d - h. What is the remainder when 23 is divided by j?
5
Suppose 3*p + 3 = -3*l, 0 = 5*l - p + 4*p - 3. Suppose 5 = -q, 2*i - 305 = -l*i + 3*q. What is the remainder when i is divided by 15?
13
Let v = 8 + -4. Suppose v*b - 5 = 11. Calculate the remainder when ((-231)/28)/((-1)/b) is divided by 9.
6
Let w = -7 + 7. Suppose w = -2*j + 10, 5*r = -5*j + j + 65. Let f(i) = -i**3 + 9*i**2 + i - 6. What is the remainder when 11 is divided by f(r)?
2
Suppose -5*y + 4*x = 116, 4*y = -0*y - 4*x - 64. Let j = 28 + y. What is the remainder when 21 is divided by j?
5
Let w(o) = 69*o**3 - 2*o**2 + 3. Let i be w(3). Calculate the remainder when i/(-48)*(-4)/7 is divided by 5.
2
Let z(t) = -t**2 + 20*t - 13. Calculate the remainder when 1041/7 - 4/(-14) is divided by z(17).
35
Let c = 395 + -262. What is the remainder when c is divided by 8?
5
Let p(v) = v - 22. Let s(k) = -k + 45. Let r(c) = 13*p(c) + 6*s(c). Let t be r(12). Suppose -d - t = -5*d. What is the remainder when 31 is divided by d?
14
Let c(m) be the third derivative of m**4/8 + 13*m**3/3 + 16*m**2. Calculate the remainder when 151 is divided by c(-5).
8
Suppose -214 = -3*p - f + 220, 442 = 3*p + 5*f. Let d = -34 + p. Calculate the remainder when d is divided by 16.
14
Let x = 88 - 61. Suppose 5*u - x = u + 3*l, -u + 10 = -4*l. Suppose -u*k + 320 = -k. What is the remainder when k is divided by 22?
20
Let z = -84 + 61. What is the remainder when 39 is divided by 8/5*(1 - z/2)?
19
Suppose -5*a - 4*g + 687 - 222 = 0, 0 = 2*a - 4*g - 158. What is the remainder when 1066 is divided by a?
87
Suppose -5*b - 124 - 101 = 0. Let r = -30 - b. Suppose 5*u - 60 = -m, -2*u + 32 = 5*m - r. What is the remainder when 18 is divided by u?
7
What is the remainder when 239 is divided by (1 - (-57 + 2)) + 6?
53
Let k(g) = 52*g**3 + 2*g**2 - g. Let b(y) = 18*y. Let z = 0 - -1. Calculate the remainder when k(1) is divided by b(z).
17
Let c = -1 - -17. Suppose y - 228 = c. Suppose 3*f - y = -f. What is the remainder when f is divided by 16?
13
Let l(b) = b**2 - 10*b + 3. Let q be l(10). Suppose -2*y + 4*r = q*y - 9, -r - 21 = -5*y. Calculate the remainder when 27 is divided by y.
2
Suppose 3*z + 19*g - 106 = 20*g, 4*z - 4*g - 136 = 0. Calculate the remainder when 60 is divided by z.
24
Let z = -14 - -156. Let g = z - 83. Calculate the remainder when g is divided by (30/(-9))/((-1)/6).
19
Let a(n) = -n**3 + 136*n**2 + 1152*n + 75. Suppose 5*z - 33 = 97. What is the remainder when a(144) is divided by z?
23
Let u(m) = 6*m**3 + m**2 - 2*m + 1. Let p be u(1). Let j = -1 + p. Suppose -253 = 7*y - 358. What is the remainder when y is divided by j?
0
Let z(m) = -2*m**2 - 9*m + 7. Let u be z(-5). Calculate the remainder when (u - 3)*(10 + -23) is divided by 8.
5
Suppose 0 = 17*v - 28*v + 22. Suppose -12 = u - v*u. What is the remainder when (-2 - -53)*(-4)/(-6) is divided by u?
10
Let b be -10 + 16 - (1 - -1 - 2). Suppose 0 = -2*n + b*n - 284. Calculate the remainder when n is divided by 36.
35
Suppose 218 = 24*h + 50. Calculate the remainder when 42 is divided by h.
0
Suppose 97 = y - 4*g, -6*y + 470 = -y - 5*g. What is the remainder when 1208 is divided by y?
92
Let c be 1/(-3) + 125/15. Let v(a) = a**2 - 7*a - 5. Let q be v(c). Suppose -14 - 13 = -q*k. Calculate the remainder when k is divided by 3.
0
Suppose 19 = 3*s + 7, 0 = -2*z - s + 308. Calculate the remainder when z is divided by 40.
32
Suppose 3*m = 319 + 260. What is the remainder when m is divided by 63?
4
Let f(g) = g**3 + 4*g**2 - 14*g + 8. Let w be f(-7). Let p = 53 + w. What is the remainder when 23 is divided by p?
11
Suppose -43*s + 33*s = -50. Let c be -4*1/(8/(-10)). Suppose c*f - 9 = -2*u, 4 = -2*u + s*f + 3. Calculate the remainder when 8 is divided by u.
0
What is the remainder when 80 is divided by -3 - -4 - 0 - -44?
35
Suppose 3*z - 3*v - 51 = 0, 4*z - 2*z + 3*v = 9. Let y(n) = 2*n**2 - 2*n + 1. What is the remainder when z is divided by y(2)?
2
Suppose 4*y = 4*p - 116, -2*p + y + 7 + 47 = 0. Let t(u) = u**3 - 26*u**2 + 26*u - 14. Calculate the remainder when 41 is divided by t(p).
8
Suppose -57*z + 769 = -1169. What is the remainder when 1019 is divided by z?
33
Suppose 0 = -2*u - 47 + 1. Let l = 25 + u. Suppose -79 + l = -i. What is the remainder when i is divided by 20?
17
Suppose -2*x = 276 - 342. Calculate the remainder when 120 is divided by x.
21
What is the remainder when (1 + 944)/5 - 8 is divided by 75?
31
Suppose -2*p + 62 = m + 3*m, -m - 3*p = -23. Suppose 8 = -7*j + 3*j + 5*v, -5*j + 3*v + 3 = 0. What is the remainder when m is divided by j?
2
Let b(p) = -p**2 - 6. Let k be b(0). Let u be (-321)/9 - 4/k. What is the remainder when 17 is divided by 2*-1*u/10?
3
Suppose -s - 20 = -3*s. Let w = 6067 + -6038. Calculate the remainder when w is divided by s.
9
Suppose -156 = -104*x + 100*x. Let v(j) = j**3 - 10*j**2 - 10*j - 1. What is the remainder when x is divided by v(11)?
9
Let p(t) = -t**3 - 12*t**2 - 11*t + 3. Let o be p(-11). Suppose 0 = -k + 5*v + 28, 0*v + 30 = 3*k + o*v. Calculate the remainder when 36 is divided by k.
10
Let l(d) = 7*d**2 + 3*d - 1. Let k be l(-2). Let s = k - -50. Suppose -120 = -4*v - v. Calculate the remainder when s is divided by v.
23
Suppose -3*q - 42 = 5*m - 2*m, 2*m - 2*q + 28 = 0. Let s = 27 + m. Let t = s + -1. What is the remainder when 33 is divided by t?
9
Suppose 38*m = 39*m - 3. Suppose -4*h - 4*g + 5*g + 63 = 0, 0 = -5*h + 3*g + 77. Let v = 26 - h. What is the remainder when v is divided by m?
1
Suppose -5*j + 7*n = 4*n - 1119, -4*j - 2*n = -882. Let g(m) = 6*m**2 - 4*m + 3. What is the remainder when j is divided by g(3)?
42
Let p(i) = i**2 + 12*i - 1. Let w be p(-12). Let o = w + 5. What is the remainder when o is divided by 4?
0
Let c(k) be the third derivative of -3*k**5/20 - 5*k**4/24 - 