 the remainder when 41 is divided by c.
19
What is the remainder when (-6)/8*1 - (-15060)/48 is divided by 63?
61
What is the remainder when (-8)/(-3)*45627/134 is divided by 65?
63
Let u(i) be the first derivative of 2*i**3 - 5*i + 5. What is the remainder when u(-4) is divided by (-43 + -3)*(-2)/4?
22
What is the remainder when 122 is divided by (100/(-36) - -7)*(3 - -6)?
8
Let s = -22 - -37. Let k(i) = -i**3 + 14*i**2 + 68*i + 97. Calculate the remainder when k(18) is divided by s.
10
Suppose -x - 19 = -4*y, -x = 5*y - 4*x - 15. Suppose y*o - 4*o - 52 = 0. Calculate the remainder when o is divided by 8.
2
Let j(q) = q**2 + 6*q + 2. Let z = -49 + 49. Suppose z = 14*m - 11*m - 78. What is the remainder when m is divided by j(-7)?
8
Calculate the remainder when 40 is divided by 32/(-2 - -4) + -2.
12
What is the remainder when 105/(-42) - (-2524)/8 is divided by 80?
73
Suppose 0 = -o + 5*c + 283, o - 18*c - 251 = -21*c. What is the remainder when o is divided by 133?
130
Suppose 2*h - 4*f = 294, -f - 10 = -8. Calculate the remainder when h is divided by 12.
11
Let c(n) be the third derivative of -n**4/4 - 7*n**3/3 - 3*n**2. Let g = -80 + 70. What is the remainder when c(g) is divided by 24?
22
Suppose -a = f - 4*f + 35, 0 = a + 5. Let g be -2 + -1 + 3/(-1). Let y = g + 9. What is the remainder when f is divided by y?
1
Let g(z) = 3*z**3 + 31*z**2 - z - 7. Calculate the remainder when g(-10) is divided by 45.
13
Let v = -9 - -11. Suppose 4*b - 2 - 24 = 2*k, -v*b = 2*k + 8. Let y(j) = j**3 + 8*j**2 + 4*j - 9. Calculate the remainder when 23 is divided by y(k).
11
Suppose -3*d + 3*x = -72, -3*x + 0 = 15. Calculate the remainder when 70 is divided by d.
13
Let y = -5 + 5. Suppose 4*m + 2*x = -y*x + 384, -3*x + 200 = 2*m. Suppose 3*n = 3*b - n - m, 0 = -5*b + n + 185. What is the remainder when b is divided by 10?
8
Suppose 3*x + 0*x + 5*p - 370 = 0, -440 = -4*x + 4*p. Let m = -50 + x. Let u = 0 - -33. What is the remainder when m is divided by u?
32
Suppose -8 = 2*p - 0. Let w be p/14 + 242/14. Suppose 0 = -3*b + 37 + w. Calculate the remainder when b is divided by 7.
4
Let f = 8 - 6. Suppose f*k = z - 12, -5*z - 7 = 3*k - 2. Calculate the remainder when -15*(-9)/45 - 0 is divided by z.
1
Suppose 0 = 5*r - 4*t - 0*t - 18, t - 15 = -2*r. Let x(o) = -o**2 + 9*o - 7. Let y be x(7). Let s = -5 + y. Calculate the remainder when r is divided by s.
0
Suppose 2*p - 4*u - 10 = p, 3*u = -3*p. Suppose 4*f - 500 = -4*b, -b - 4*b + 367 = 3*f. Suppose r + p*r = f. What is the remainder when r is divided by 15?
13
Let d(n) = -19*n - 7. Suppose 8 + 31 = 13*z. Suppose -z*u + 66 = -4*j, -4*u + 5*j = j - 84. Calculate the remainder when d(-5) is divided by u.
16
Suppose -l = 5*p - 213, 5*p + 422 = 4*l - 330. Calculate the remainder when l is divided by 39.
37
Let u(l) = 2*l**2 - 6*l - 4. What is the remainder when 2 + -3 - 126/(-2) is divided by u(-2)?
14
Let h be (-2)/(-4) - 284/8. Let j = 6 - h. What is the remainder when j is divided by 11?
8
Suppose -10*y = -5*y - 15. Suppose -9 = -y*t, -7*t + 2*t = 4*o - 627. What is the remainder when o is divided by 22?
21
Let d = 586 + -473. Calculate the remainder when d is divided by 32.
17
Let v = 18 + -15. Suppose -5*h + v*h + 32 = 0. Let x = h + -14. What is the remainder when 3 is divided by x?
1
Suppose -3*f - 32 = -j - 5*f, 0 = 3*j + f - 121. Suppose 3*q + j = 9*q. What is the remainder when 12 is divided by q?
5
Suppose -6 = -9*y + 6*y. Suppose y*n + g + 0 - 5 = 0, 12 = 4*g. Calculate the remainder when n is divided by 1.
0
Suppose 4*z - 3*b - 57 = -z, 5*b = 3*z - 31. Calculate the remainder when 43 is divided by z.
7
Let z = -1022 + 1052. Calculate the remainder when 384 is divided by z.
24
Let a = -241 - -349. Let s = 41 - 19. What is the remainder when a is divided by s?
20
Let i be (-32)/14 + 4/14 - -3. What is the remainder when 107 is divided by 1 + (22 - i) + (-1 - -1)?
19
Let c(g) = g**3 - 6*g**2 + 8*g - 7. Let i be c(5). Let v = i - 6. Suppose 2*a - 18 = -v*a + 2*u, 2*u - 6 = 0. What is the remainder when 16 is divided by a?
4
Suppose -5*s + 10 = -5. Suppose 3*a = s*b - 0*a + 276, 273 = -3*b + 4*a. Let p = 142 + b. Calculate the remainder when p is divided by 17.
13
Let z = 829 - 818. Calculate the remainder when 921 is divided by z.
8
Let c(y) = -y**3 - y**2 - 1. Let u be c(0). Suppose 74*b - 84*b + 350 = 0. Calculate the remainder when b*-1*-1 + u is divided by 13.
8
Suppose -3*u - 455 = -2*r, -4*r = -2*r + 5*u - 431. Calculate the remainder when r is divided by 15.
13
Let f = -58 + 128. Suppose 4*q - 3*s = 2*s - f, -3*s - 54 = 4*q. Calculate the remainder when 81 is divided by 18/q*(-70)/4.
18
Suppose 0 = -3*x + 258 + 126. Suppose -6*v + 78 = -3*v. Calculate the remainder when x is divided by v.
24
Let c(y) = -11*y - 46. Calculate the remainder when c(-17) is divided by 16.
13
Let t(m) = -4*m**3 - m**2. Let l be t(-1). Suppose 0 = 4*z - l*y - 33, 3*z + 4 - 19 = -y. Calculate the remainder when z is divided by 6.
0
Let l = -824 + 856. What is the remainder when l is divided by 26?
6
Let a(l) = 8*l. Suppose -4*d = -3*w + 5, -w + 3 = -0*w. What is the remainder when a(d) is divided by 3?
2
Suppose 3*a = 0, 3*l - 366 = 2*a - 0*a. What is the remainder when l is divided by 21?
17
Let l = 61 + 50. Suppose r - l = -0*r. What is the remainder when r is divided by 30?
21
Suppose 7*v - 27*v = -340. Calculate the remainder when 17 is divided by v.
0
Let t = -3 - -18. Let x(q) = -4 - 4 - 5 - 2*q**3 + 4 - 5*q**2 - 5*q. Calculate the remainder when x(-4) is divided by t.
14
Suppose 13*x = 9*x + 132. Calculate the remainder when (x/(-27))/((-3)/(-9))*-9 is divided by 6.
3
Suppose 5*a + 9 + 9 = -2*s, 0 = -s + a + 5. Let z(x) = 96*x**3 - x**2 + x. What is the remainder when z(s) is divided by 33?
30
Suppose i = -8*i + 783. Let d = 98 - i. What is the remainder when 21 is divided by d?
10
Let b(q) = q**2 + q - 3. Let l = -30 - -26. Let o be b(l). Calculate the remainder when -2 + 0 + 351/o is divided by 13.
11
Let u(f) be the first derivative of -f**4/4 + 2*f**3 + 6*f**2 - 13*f + 29. What is the remainder when 131 is divided by u(7)?
21
Suppose j = -3*a + 35, -3*j + 98 = -5*a + 7*a. Calculate the remainder when j is divided by 12.
8
Let q(s) = s + 1. Let r be q(3). Suppose -2*b + h + 248 = 2*b, -248 = -4*b - r*h. Calculate the remainder when b is divided by 32.
30
Suppose -22 = -7*v + 76. What is the remainder when 109 is divided by v?
11
Let w = -489 + 536. Let d(n) = -2*n**3 - 3*n**2 - 4*n - 4. What is the remainder when d(-4) is divided by w?
45
Suppose 57*j - 208 = 49*j. Suppose -x - 4*f + 28 = 3*x, 4*x - 4*f - 52 = 0. Calculate the remainder when j is divided by x.
6
Let q(d) = -d**3 + 8*d**2 - 10. Let m = 14 + -9. Suppose m*x - 55 = 2*j + 13, x - j - 13 = 0. Calculate the remainder when q(7) is divided by x.
11
Let c = 35 + -91. Suppose 0 = -5*n + 3*z - 163, 3*n + z - 11 = -120. What is the remainder when (c/n)/((-4)/(-230)) is divided by 31?
30
Suppose -2*s + 0*v + v = -77, 0 = 3*s - 5*v - 126. Suppose 0 = -2*u + 108 - 82. Calculate the remainder when s is divided by u.
11
Suppose 3*o + 43 = y, -2*y + 5*o + 144 = 2*y. Let x = 55 - y. Suppose -6*w = 1201 - 1627. What is the remainder when w is divided by x?
23
Let t(a) = -6*a + 179. Calculate the remainder when t(22) is divided by 8.
7
Let l = -638 - -716. Calculate the remainder when 217 is divided by l.
61
Let q = 104 - 78. Calculate the remainder when 124 is divided by q.
20
Let q be (-8)/6*(-30)/4. Let j be (-11)/(891/(-387)) + (-4)/(-18). Suppose -3*v = 3*w - 27, q*v - 9 = -2*w + j*v. What is the remainder when w is divided by 7?
5
Let d be -3 + 27/12 + 43/4. Suppose -d*h + 202 = -8*h. Calculate the remainder when h is divided by 35.
31
Let i(a) = -a**2 - 10*a + 139. Suppose -m = 2*d - 88, 0 = -4*d + m - 60 + 230. Calculate the remainder when i(-11) is divided by d.
42
Let s = 243 + -148. Calculate the remainder when s is divided by 49.
46
Suppose 13*j = -a + 17*j + 58, 5*a - 4*j = 258. Calculate the remainder when a is divided by 19.
12
Suppose -2*z = -3*z + 36. Suppose -532 = -5*r + t, t - 3*t = -3*r + 322. Calculate the remainder when r is divided by z.
34
Let q = -120 + 117. Calculate the remainder when 4/1 - (q + 0 + -23) is divided by 8.
6
Let c = -9 