t k = -55 + 17. Let p = k - -69. Let t = p + -18. Calculate the remainder when t is divided by 5.
3
Let v(b) = 6*b. What is the remainder when v(7) is divided by 11?
9
Let u(y) = y**3 + 14*y**2 - 18*y - 22. Calculate the remainder when 114 is divided by u(-15).
22
Suppose 0 = -5*f + 3*f + 38. Suppose 0 = 3*r - 0*r - 15. Suppose -r*p + 4 + 31 = 0. Calculate the remainder when f is divided by p.
5
Let x(c) = -2*c + 11. Calculate the remainder when x(-12) is divided by 9.
8
Let q be 13 + ((-2)/1 - -4). Suppose -10 = -t + 2*p, t = 2*t - p - q. Calculate the remainder when t is divided by 8.
4
Let c(n) be the first derivative of n**2/2 + 7*n + 1. Let z be c(-4). Suppose -35 = -z*d + 19. What is the remainder when 52 is divided by d?
16
Let o(g) = g + 1. Let u be o(-4). What is the remainder when (-4)/(-2)*15 - 0 is divided by (16/20)/(u/(-30))?
6
Let i = -1347 + 1356. Let z be ((-6)/(-4))/((-3)/(-4)). Suppose 4*o - 50 = z*o. What is the remainder when o is divided by i?
7
Suppose -167 + 23 = -4*r. Calculate the remainder when r is divided by 14.
8
Let o(d) = -d - 2. Let t be o(-5). Suppose -t*y + 57 = 3*a - 8*a, -76 = -4*y - 4*a. What is the remainder when y is divided by 7?
5
Suppose -2*h - h = 3*o - 48, 5*h - 94 = 2*o. Suppose 8*m = 10*m - h. What is the remainder when (-2)/(-6) + (-50)/(-3) is divided by m?
8
Let l = 15 + -24. Let y(u) = -u**2 - 10*u + 7. What is the remainder when y(l) is divided by 9?
7
Let n = 137 + -126. Calculate the remainder when 30 is divided by n.
8
Suppose z = -z - 4*r - 18, 4*z - 5*r + 62 = 0. Suppose -f - 4*f = 10. What is the remainder when 50 is divided by 2 - (z - (f + 4))?
16
Suppose 9*a = 4*a + 195. What is the remainder when a is divided by 14?
11
Let g = -63 - -66. What is the remainder when 5/(-2*(-1)/2) is divided by g?
2
Suppose 8 = 3*b - 4. Suppose 0 = b*w - 66 + 10. Calculate the remainder when w is divided by 8.
6
What is the remainder when 36 is divided by (-2)/(-8)*(-312)/(-6)?
10
Suppose -4*s = -t - 4, -4*t + s + 0*s = -14. Suppose 4*b - 30*b = -390. What is the remainder when b is divided by t?
3
Suppose 0 = 5*x - 19 + 4. Suppose -2*g - u + 26 = 0, -x*g - u + 49 = -2*u. Let i(m) = -8*m. What is the remainder when g is divided by i(-1)?
7
Suppose t - 3*t - 63 = -3*q, -q + 2*t = -21. What is the remainder when 61 is divided by q?
19
Suppose -48 = -4*n + 4*q, -4*q - 32 = -4*n + 2*n. Suppose 0 = 2*t + 2*t - 48. Calculate the remainder when (22/n)/((-4)/(-32)) is divided by t.
10
Suppose 0*c - 2*c - 156 = -4*l, 5*c = -l + 28. Calculate the remainder when l is divided by 13.
12
Calculate the remainder when 5 is divided by 8 - ((-3)/(-1) - (-11 - -10)).
1
Suppose -107 = -2*k - 31. Calculate the remainder when k is divided by 13.
12
Let v(i) = 2 - i**2 + 0*i**2 + 8 - 4*i. Let c be v(-7). Let a = c - -19. Calculate the remainder when a is divided by 5.
3
Suppose -120 = -4*d - 4*d. Calculate the remainder when 74 is divided by d.
14
Suppose 0*p + 4*p + 74 = k, -k = 5*p - 47. Suppose 0 = 2*l - 4*l + k. What is the remainder when l is divided by 8?
7
Suppose 2*z + 10 = 0, 3*z + 17 = -3*u + 4*u. What is the remainder when u is divided by 1?
0
Suppose 0*y = 2*y - 4. Suppose 3*x + 6*m - 61 = m, -y*m + 86 = 4*x. Calculate the remainder when 42 is divided by x.
20
Let d = -3 + 16. Calculate the remainder when 24 is divided by d.
11
Calculate the remainder when 51 is divided by (3/(-12))/((-2)/104).
12
Suppose 8*o - 1227 = -387. Calculate the remainder when o is divided by 37.
31
Suppose 2*m = 2*u - 0*m - 32, 5*u - 2*m = 83. Calculate the remainder when u is divided by (-7)/(14/(-12)) + 3.
8
Let n be (-5)/2*(-6)/5. Suppose -n*s = -8*s + 95. What is the remainder when s is divided by 16/(-2)*25/(-20)?
9
Let y(i) = i**2 - i - 8. Let t be y(6). Suppose 0 = 5*q - 25, -3*q = 3*z - 8*q + t. Suppose 3*a - 1 = 2*a. Calculate the remainder when z is divided by a.
0
Let l(b) = -b**3 + 6*b**2 + 9*b + 1. Suppose -2*z = 2*h - 62, 2*z - 10 = -3*z. What is the remainder when h is divided by l(7)?
14
Suppose -2*i = -5*d + 125, 4*d + 3*i - 96 = d. What is the remainder when 105 is divided by d?
24
Let p(o) = 2*o + 7. Suppose -3*m + 2*j + 3*j + 23 = 0, 5*j = -m + 1. Let t be p(m). Suppose -3*n + t + 38 = 0. What is the remainder when n is divided by 7?
5
Suppose -a = -11 + 1. What is the remainder when 17 is divided by a?
7
Let h(c) = 16*c**2. Suppose -3*i + 5*i = -o - 3, 0 = 5*i - 4*o + 1. What is the remainder when h(i) is divided by 6?
4
Let q(f) = 2*f**2 - 2*f + 2. Let o be q(-4). Let v = -23 + o. What is the remainder when v is divided by 5?
4
Let k be 2/(-6)*0/(-2). Suppose -4*r + 6*r - 68 = k. Let w(x) = x**2 - x - 2. Calculate the remainder when r is divided by w(5).
16
Suppose 2*a - 24 = -3*c - 3, -2*c - 3*a = -9. Suppose 4*z = z + c. Calculate the remainder when 4 is divided by z.
1
What is the remainder when -3 - -18 - (-8)/4 is divided by 5?
2
Suppose 4*g - 6 - 10 = -2*u, -3*g - 53 = -5*u. Calculate the remainder when 38 is divided by u.
8
Suppose -4*x = -g - 14, -2*x + 1 = -3*g - 1. Let i = 5 - 3. Suppose -i*c + 9 = c. Calculate the remainder when c is divided by g.
1
Let m = 2 + -2. Calculate the remainder when 53 is divided by (m + -2)*(2 + -9).
11
Suppose 104 = 3*o + o. Suppose 0 = -n - n + o. What is the remainder when n is divided by 8 + 0 - 2/2?
6
Suppose -l - 4 = -3*l. Suppose y - 7 = -c, 0 = -5*c - l + 12. What is the remainder when 17 is divided by y?
2
Let i be (1 - -44)*(-8)/(-24). What is the remainder when ((-10)/i)/(2/(-42)) is divided by 5?
4
Let s(z) be the third derivative of z**5/2 - z**2. Let g = 25 - 9. What is the remainder when s(-1) is divided by g?
14
Let b(x) = x**2 + x + 2. Calculate the remainder when b(-4) is divided by 4.
2
Let u(r) = 2*r**3 + r**2 - 2*r + 1 - 2*r**3 + 2*r**3. Calculate the remainder when (-2)/9 + 1740/54 is divided by u(2).
15
Suppose -4*r - 20 = 0, -5*c - 4*r = -0*r - 25. What is the remainder when (72/15)/(2/10) is divided by c?
6
Suppose 2*p + 29 = j + p, -5*j = -2*p - 151. Calculate the remainder when j is divided by 9.
4
Suppose -2*f = s - 7 - 7, 8 = 2*f + 4*s. Calculate the remainder when f is divided by 5.
3
Suppose 0*f = -3*f + 9. Suppose -5*b = 4*c - 70, 4*b - f*c - 19 = 6. Calculate the remainder when (-12 + -1 + -1)*-2 is divided by b.
8
Calculate the remainder when (-5 - 0)*(-432)/90 is divided by 14.
10
Let n = -314 + 344. Let p = -1 + 30. Suppose -3*w + 77 = p. Calculate the remainder when n is divided by w.
14
Calculate the remainder when 69 is divided by (-3)/(-9)*27*2.
15
Let o = 32 - 24. What is the remainder when 14 is divided by o?
6
Let y(c) = c**3 - 11*c**2 + 11*c - 8. Calculate the remainder when ((-8)/10)/(4/(-30)) is divided by y(10).
0
Suppose -711 = -y - 2*y. Let a be 2/(-7) - y/(-21). Suppose -4*o = 4*k - 44, 4*k + a = 5*o - 17. Calculate the remainder when 14 is divided by o.
6
Suppose 3*c + 2*f - 4 = 0, -1 = -f - 5. Suppose -c*a + 0*a = -152. Suppose p + 3 = 5, -2*u + 2*p + a = 0. Calculate the remainder when u is divided by 11.
10
Let k(n) = 2*n + 7. Let y = 13 + -8. What is the remainder when k(y) is divided by 23/4 + 7/28?
5
Suppose 18*w - 660 = 6*w. Calculate the remainder when 157 is divided by w.
47
Let z = 0 - -3. Let x = -3 + z. Suppose -4*p + x*p = 3*y - 40, p + 2*y - 15 = 0. Calculate the remainder when 20 is divided by p.
6
Let d(j) = j + 7. Let g be d(0). Suppose -g*z - 72 = -9*z. Suppose 2*r + z = 3*r. What is the remainder when r is divided by 13?
10
Let z = 9 + 18. Suppose -5*v - z = -2*v. What is the remainder when 240/v*(-6)/5 is divided by 11?
10
Suppose 4*i - w = 14, -3*w = -4*i + 2 + 8. Suppose r + v - 20 = 3*r, 0 = -2*r - i*v - 20. Let o = 33 + r. Calculate the remainder when o is divided by 12.
11
Suppose 3*v = v + 2*b + 12, 0 = 5*b + 20. Let m = 6 - 6. Calculate the remainder when 74 is divided by v/(2 - m) + 18.
17
Let y(s) = 19*s**2 + s - 2. What is the remainder when 70 is divided by y(1)?
16
Let p = 1 + 4. Suppose 2 = -c + 3*v + 5, -3*v + 33 = p*c. Calculate the remainder when c is divided by 2.
0
Suppose 0 = -2*m - 0*j - 3*j + 311, 3*m - 449 = -j. Calculate the remainder when m is divided by 25.
23
Calculate the remainder when (-21)/(-35) - 432/(-5) is divided by 22.
21
Let j be (5/4)/((-3)/(-372)). Suppose 3*q - j