-0*y - 3*y + 51. Let k = c - y. What is the remainder when k is divided by 5?
4
Let c(r) = r**2 + 13*r + 18. Let w be c(-12). Suppose 5*t + 14 + w = 0. What is the remainder when 40 is divided by (14/(-6))/(t/24)?
12
Suppose -3*i - 15 = -6*i. Let r = -3 + i. Suppose 2*b - 43 = -3*f, 71 = r*f + 3*f + 4*b. Calculate the remainder when 28 is divided by f.
13
Suppose -2*m - 8 = 3*g, 0 = 2*g - 7*g - 5*m - 20. Let x(v) = v + 5. What is the remainder when 9 is divided by x(g)?
4
Let v be -1 + 0 - -1 - 0. Let m be (1/(-2))/(3/(-12)). Suppose -m*h + v*h = -34. Calculate the remainder when 49 is divided by h.
15
Let b(d) = 3*d**3 - 9*d**2 + 2*d + 4. Let v(g) = -5*g**3 + 17*g**2 - 3*g - 8. Let x(y) = 7*b(y) + 4*v(y). What is the remainder when 23 is divided by x(-3)?
7
Suppose -41 - 15 = -d. Calculate the remainder when d is divided by 19.
18
Let x(m) = -5*m. Let j be x(1). Let d(o) = o**3 + 6*o**2 - 6*o - 4. What is the remainder when d(j) is divided by 13?
12
Let b be (-2936)/(-14) - 2/(-7). Suppose -5*p = -0*p - b. What is the remainder when p is divided by 15?
12
Let b(g) = 2*g - 18. Calculate the remainder when 8 is divided by b(11).
0
Let v = -5 - 9. Let u = 7 - v. Calculate the remainder when u is divided by 6.
3
Suppose -m - 15 = -2*x - 0*m, 5*m = -5*x. Calculate the remainder when 16 is divided by x.
1
Suppose 3*w + 2*w + 10 = 0, -2*f + 102 = -2*w. Let b = -4 - 14. What is the remainder when f is divided by 2/((b/(-51))/3)?
15
Suppose 0*o + 4*o + 36 = 0. What is the remainder when (-407)/o - 2/9 is divided by 12?
9
Suppose 2*o + 60 + 134 = 2*m, 5*o + 392 = 4*m. What is the remainder when m is divided by 19?
17
Let l(c) = c**2 - 4*c - 1. Calculate the remainder when 6 is divided by l(5).
2
Suppose 3*n = 4*g + 6, -4*g = -n - 0 + 10. What is the remainder when 58 is divided by (n/(-1))/(7/42)?
10
Calculate the remainder when 38 is divided by (-10)/((-9 - -8)*2/4).
18
Let m = 186 - 123. Calculate the remainder when m is divided by 17.
12
Let m be -2 - (0 - 91*1). Suppose -69 = -3*i + 5*u + m, 3*u = -3*i + 126. Suppose -i - 9 = -5*c. What is the remainder when 32 is divided by c?
10
Suppose 4 - 11 = 7*a. Let t(l) = -27*l**3 + 2*l**2 - l**2 - l**3. Calculate the remainder when t(a) is divided by 16.
13
Let z(x) = -2*x + 1. Calculate the remainder when z(-3) is divided by (0 - (-5)/2) + (-30)/60.
1
Let n(k) = -k**3 - 4*k**2 - 3*k - 2. Let x be n(-4). Let u = 16 - x. What is the remainder when 10 is divided by u?
4
Suppose -2*j + 11 = -3*x, -j + 8 + 2 = 3*x. Calculate the remainder when 20 is divided by j.
6
Suppose 424 = 4*c - 0*c. Suppose -d - c = -3*d. Let k = 19 - 1. Calculate the remainder when d is divided by k.
17
Suppose 2*l - 377 = -33. Calculate the remainder when l is divided by 35.
32
Suppose -2*k = 5*g - 20, k + 10 = 4*g - 6. Let t(m) = m + 12. What is the remainder when 23 is divided by t(k)?
11
Suppose -4*z - 2*v + 6*v + 112 = 0, z - 3*v = 34. Let r = 6 + -3. Suppose 42 + 15 = 5*c - r*b, -31 = -3*c + b. Calculate the remainder when z is divided by c.
7
Suppose 0 = -3*j - j + 8. Suppose j*z + 81 = 211. Calculate the remainder when z is divided by 34.
31
Suppose 22 = 5*t + 2. Let o(i) = 1 - t*i + 3*i**2 + 1 - 1. What is the remainder when 46 is divided by o(3)?
14
Let n(i) = i**2 + 2*i - 2. What is the remainder when 36 is divided by n(3)?
10
Let m = 41 + -27. What is the remainder when m is divided by -1 + 1 + (1 - -4)?
4
Let u(n) = -n**3 - 4*n**2 + 13*n + 10. Let t be u(-8). Suppose -3*m - 216 = -0*i - 4*i, -4*m = 3*i - t. What is the remainder when i is divided by 28?
26
Let o = 3 - 4. Let p be 0 - (o + -7) - 1. Suppose z = -5*i - p + 242, 3*i - 123 = 3*z. What is the remainder when i is divided by 16?
14
Let g(t) = -t**3 - 5*t**2 + 7*t. What is the remainder when g(-7) is divided by 13?
10
Let t = 145 + -133. Calculate the remainder when 36 is divided by t.
0
Let h(w) = -2*w - 6. Let f be h(-4). Suppose 0 = u - f*x - 57, -x = 3*x - 16. Calculate the remainder when u is divided by 17.
14
Suppose -t = -4*t + 60. Calculate the remainder when t is divided by 11.
9
Let a(y) = 2*y**2 + y - 4. What is the remainder when a(3) is divided by (-128)/(-13) + -6 + 160/26?
7
Suppose k = 2*l - 4*k - 1, -2*l + 22 = 2*k. Suppose 7 = u - 23. Calculate the remainder when u is divided by l.
6
Let t = 74 - 24. What is the remainder when t is divided by 17?
16
Let u = 3 - -4. Let d = -9 - -20. What is the remainder when d is divided by u?
4
Calculate the remainder when 136 is divided by 0/(3 + 0) + 46.
44
Let c = -1 + 3. Suppose -3*j - c*j = -125. Calculate the remainder when j is divided by 13.
12
What is the remainder when 19 is divided by ((-6)/12)/((-3)/42)?
5
Suppose 12*b - 8*b = 56. Calculate the remainder when b is divided by 7.
0
Let g(x) = 2*x**2 - 2*x - 3. Let c be g(3). Let r = -8 + c. Let j(f) = 19*f + 1. What is the remainder when j(r) is divided by 11?
9
Let u = 2 - 3. What is the remainder when u/3 + 1651/39 is divided by 15?
12
Let a(j) be the second derivative of j**3/3 - j**2/2 - 3*j. Let r be a(4). Let t(p) = -p + 10. What is the remainder when 7 is divided by t(r)?
1
Suppose -57*v = -55*v - 34. What is the remainder when v is divided by 12?
5
Suppose -3*f + 17 = -4. Calculate the remainder when 12 is divided by f.
5
Suppose l + 2*l + 5 = -2*w, 0 = -5*w + 5*l + 50. Let m = 16 - -2. Calculate the remainder when m is divided by w.
3
Suppose 3*d - d - 5*p = 35, d = 5*p + 5. Calculate the remainder when d is divided by 11.
8
Suppose 3 = 4*v - 5. Suppose 0 = -3*q - v*m + 4*m + 69, -3 = -m. Calculate the remainder when 71 is divided by q.
21
Let h be ((-4)/(-1))/(12/(-18)). Calculate the remainder when ((-15)/(-10))/(h/(-44)) is divided by 4.
3
Suppose -3*m = 4*r - 40, 2*r - 41 = -4*m - 1. Calculate the remainder when 26 is divided by m.
2
Let d(t) = 4*t**2 + t - 1. Let l be d(1). Suppose 0 = l*g - 5*v - 40, 20 = 2*g + v - 5*v. Let h = -1 - -19. What is the remainder when h is divided by g?
8
Let h = 11 + 4. What is the remainder when 29 is divided by h?
14
Suppose 330 = 4*j - j. What is the remainder when 11 is divided by j/30 - 2/(-6)?
3
Suppose 13*g = 12*g + 14. Suppose y - 3*y = -16. Calculate the remainder when g is divided by y.
6
Suppose -4*w = 3*u - 6*w - 12, 4*w = 12. Let b = 2 + 2. Calculate the remainder when u is divided by b.
2
Let f(n) = -4*n + 1. What is the remainder when f(-3) is divided by 0 - (-3)/(3/8)?
5
Let r be 2/1 + 1 + 22. What is the remainder when r - 1 - 18/6 is divided by 8?
5
Let d = -24 - -25. Calculate the remainder when 1*(d + -2 - -20) is divided by -1*(-7)/(0 - -1).
5
Suppose -2*u - 3*t = -88, 3*t - t = -2*u + 84. What is the remainder when u is divided by 10?
8
Let h be 1/(-2) - 90/(-12). Suppose 2*i = h*i - 45. What is the remainder when 24 is divided by i?
6
Let y(j) be the first derivative of j**4/4 + 2*j**3 - j**2 + 5*j - 2. What is the remainder when y(-6) is divided by (-75)/6*(-4)/5?
7
Suppose -15*w + 28 = -13*w. Suppose 0 = 2*j - 0*j - 2. Let s = j + w. Calculate the remainder when 29 is divided by s.
14
Suppose 15 = 3*t + 6. Suppose 10 + 49 = t*n + 4*h, -4*n - 4*h = -72. What is the remainder when 24 is divided by n?
11
Let b(x) = -x**2 + 12*x - 8. Let w be (-6)/(-15) + 66/10. Calculate the remainder when b(w) is divided by 7.
6
Let p = -3 + 27. What is the remainder when p is divided by (-33)/(-22) - 15/(-2)?
6
Let q(g) = g**3 + g**2 - 2*g - 1. Let u be q(3). Suppose 2*a - u = -11. What is the remainder when a is divided by 5?
4
Let p(l) = l**2 + 8*l + 12. What is the remainder when 61 is divided by p(-10)?
29
Let u be -3*(1 + 21/(-9)). Let k(n) = n**3 - 4*n + 7 + 0*n + u*n**2 + n - 3*n. What is the remainder when 34 is divided by k(-5)?
10
Suppose 2*y + 5*s + 1 = -0, -2*y = -s - 5. Suppose 0*i = -y*i. Suppose -2*f + 2 = i, 2*f + 80 + 103 = 5*t. What is the remainder when t is divided by 13?
11
Let y(g) = 5*g**2 + 4*g. What is the remainder when y(-3) is divided by 12?
9
Let o(r) = r**2 - 5*r - 1. Let j be o(6). Suppose -6*l = -j*l - 33. What is the remainder when 64 is divided by l?
31
Suppose 3*z - 169 - 80 = 0. What is the remainder when z is divided by 22?
17
Let z(a) = a**3 - 2*a**2 + 3*a. Calculate the remainder when (-2)/((-62)/20 + 3) is divided by z(2).
2
Let z = -19 + 40. Suppose 4 = 2