*f + 8 = n, -t*f + 40 = -4*n - 8*f. Let d = 20 + n. What is the remainder when 37 is divided by d?
11
Suppose -4*p + 28 = 5*k, -k = -5*p + 4 + 2. Suppose k*a = 3*n + 65, 3*a - 38 = a - 4*n. Calculate the remainder when a is divided by 9.
8
Suppose 6*h - 208 = -7*h. What is the remainder when 46 is divided by h?
14
Suppose 7*v - 2*v - 5*s = 80, -4*v = 2*s - 76. Suppose 0*x - x + 2 = 0, -29 = -3*i - 4*x. Calculate the remainder when v is divided by i.
4
Let b = -71 + 134. Calculate the remainder when b is divided by 13.
11
Let k(p) = 3*p - 7. Suppose y = 5*g - y - 35, 0 = 3*g - 2*y - 25. Let c be k(g). Let f = c - -1. Calculate the remainder when 26 is divided by f.
8
Let d(f) = f**2 - 4*f - 4. Suppose -62 = -5*r + 33. Calculate the remainder when r is divided by d(-2).
3
Let p be 8/(-12)*15/(-2). Let c be 108/(-20) + 2/p. Let q = c + 15. What is the remainder when 17 is divided by q?
7
Let t(s) = -2*s. Let z be t(1). Let l = -4 + z. Calculate the remainder when -3*(-1)/3 - l is divided by 4.
3
Suppose -t + 5*u = -5, -3*u - 39 = -4*t - 2*u. What is the remainder when 19 is divided by t?
9
Suppose 2*c = -5 + 19. Let l(n) = 5*n**2 - 2*n - 3. Let v be l(-3). Suppose 3*h - 3*m = v, -5*h + 2*m = -m - 74. What is the remainder when h is divided by c?
6
Let q(x) = x + 8. Let o be q(-6). Suppose f - o*b - 9 = 0, 3*f - 4*b - b = 28. Calculate the remainder when f is divided by 6.
5
Let r be ((-6)/15 + 1)*5. Suppose -r*u + 40 = u. Let b = 7 + -3. What is the remainder when u is divided by b?
2
What is the remainder when 3 + -10*(-6 + 1) is divided by 27?
26
Suppose -5*b + 55 = l, -4*b + 5*b - l - 5 = 0. Let k = -5 + b. Suppose 0 = 5*o + 2*p - 63, -3*o = p - 3*p - 41. What is the remainder when o is divided by k?
3
Let j = 27 - 6. Let b(f) = 12*f + 2. Calculate the remainder when b(5) is divided by j.
20
Suppose -4*a + 11 = -5*r - 14, -4*r - 20 = 3*a. Let y = -3 - r. Calculate the remainder when 3 is divided by y.
1
Calculate the remainder when 26 is divided by (3 + -1)*(7 + 0).
12
Suppose 21 + 23 = 2*x. Let m = x + -6. Calculate the remainder when 31 is divided by m.
15
What is the remainder when 89 is divided by (-26)/(-117) - (554/(-18))/1?
27
Let z(s) = s + 4. What is the remainder when 46 is divided by z(8)?
10
Let g be (-3 + (-1 - -2))/(-2). Let c(i) = 12*i**3. Let r = 154 + -107. What is the remainder when r is divided by c(g)?
11
Suppose 4*d = -0*d - 72. Let w = -10 - d. What is the remainder when 22 is divided by w?
6
Let j = -85 - -152. Suppose -4*b - 75 = 4*k - k, 4*b - 125 = 5*k. Let r = j + k. What is the remainder when r is divided by 22?
20
Suppose -3*h = -f - 152, -20*h + 23*h - 172 = 5*f. What is the remainder when 94 is divided by h?
45
Let b = -3 + -4. Let i = 0 - b. Let s = 2 + 11. Calculate the remainder when s is divided by i.
6
Suppose -3*y + 2*y + 23 = 0. Suppose 0*h - 2*h + 16 = 0. Calculate the remainder when y is divided by h.
7
Suppose 2*x - 4*o + 4 = -0*o, 0 = 4*x - 5*o + 5. Suppose x*w - 3*w = 3, 4*v = 3*w + 39. What is the remainder when v is divided by (-1 + 0)*2*-2?
1
What is the remainder when 3/(-15) + 256/5 is divided by 9?
6
Suppose -4*o + 65 - 1 = 0. Suppose -2*n - 2*n = -o. What is the remainder when 11 is divided by n?
3
Let v be (10/5)/((-2)/(-38)). Suppose f = -f + v. Let z(y) = y**3 - 7*y**2 - 4*y + 4. What is the remainder when z(8) is divided by f?
17
Suppose 0 = 2*j - 0*j - 4*p - 22, -3*p = -4*j + 39. Let g be 2*j/12*2. Suppose 2*z - 3 - g = 0. Calculate the remainder when z is divided by 1.
0
Suppose -j - 26 = -3*j. What is the remainder when 49 is divided by j?
10
Let f = 3 - 2. Calculate the remainder when (-2 + (2 - f))*-12 is divided by 7.
5
Suppose 2*j - 32 = 2*v, -8 = -2*j - 5*v + v. Calculate the remainder when 20 is divided by j.
8
Let g = 15 + -3. Let u(x) be the first derivative of x**4/2 - x**3 + 3*x**2/2 - 2*x - 2. What is the remainder when u(3) is divided by g?
10
Let i(j) = -j**2 - 11*j + 11. Suppose -2*u = -z - 30, 2*u - 30 = z + z. Calculate the remainder when i(-9) is divided by u.
14
Suppose 4*p = -x, -p + 42 = 2*x - 7*x. Let j = x - -29. What is the remainder when 83 is divided by j?
20
Let x be (-3)/4*(3 - -1). What is the remainder when 24 is divided by x - 12*2/(-2)?
6
Let h be (-2)/6 - (-70)/3. Let n = h + 10. Let j = -18 + n. Calculate the remainder when j is divided by 8.
7
Let u = 40 + -4. Suppose u = 2*m - 26. Calculate the remainder when m is divided by 18/12 + (-62)/(-4).
14
What is the remainder when 1*(-4)/6*-33 is divided by 12?
10
Let n = 56 - 34. Suppose -3*o + 70 = 2*d + 18, 0 = -3*o + 4*d + n. What is the remainder when o is divided by 2 - 1*(-2 + -1)?
4
Let q(n) = -n. Let w(f) = -4*f**2 + 4*f - 1. Let s(z) = -2*q(z) - w(z). Suppose -6*r = -2*r - 8. What is the remainder when 37 is divided by s(r)?
11
Suppose -2*z = -4*d + 264, -6*z - 12 = -3*z. What is the remainder when d is divided by 2/(-3) + (-82)/(-6)?
12
Let z = -11 - -8. Suppose -s - 2*s = -6. What is the remainder when 0/z - (-1 - 2) is divided by s?
1
Suppose f - 5*f + 4*o = -420, 5*o = f - 105. Calculate the remainder when f is divided by 36.
33
Let h = 36 + -10. What is the remainder when 180 is divided by h?
24
Let v be (-92)/(-28) - (-2)/(-7). Let t = v - 1. Suppose l - 23 = -t*w, -9 = -w - 0*l - l. Calculate the remainder when 41 is divided by w.
13
Let j = 6 + 4. Calculate the remainder when 19 is divided by j.
9
Let n = 81 + -67. Calculate the remainder when 22 is divided by n.
8
Let q = 21 + -15. Calculate the remainder when q is divided by 6.
0
Let o(s) = 2*s**3 - 2*s**2 + 2*s - 3. Let m be o(3). Suppose 0 = 4*u - 215 + m. Calculate the remainder when u is divided by 133/7 + 1*4.
21
Suppose -4*k = 2*k + 42. Let j = 36 + k. Calculate the remainder when j is divided by 10.
9
Let v = 1 + 3. Suppose -5*r = -v*u - 182, -u - 15 = -r + 21. Calculate the remainder when r is divided by 1 + 1/(-1) - -13.
12
Let u = 1 + 7. Let v = 3 + u. What is the remainder when 20 is divided by v?
9
Suppose 0 = -5*w + s + 483, 4*w + 2*s = -w + 474. Let u = w + -61. Calculate the remainder when 102 is divided by u.
32
Suppose 0 = -5*p + 7 + 103. Let m(n) = -n**3 - 7*n**2 + 8. Calculate the remainder when p is divided by m(-7).
6
Let i(z) = 25*z**3 - 14*z**2 - 11*z + 8. Let q(x) = -8*x**3 + 5*x**2 + 4*x - 3. Let y(b) = -3*i(b) - 8*q(b). What is the remainder when 23 is divided by y(-1)?
11
Let n be (-2*2)/((-4)/(-24)). Let y = 42 + n. Calculate the remainder when y is divided by 7.
4
Let a(o) = -o**3 - 4*o**2 + 12*o + 4. Calculate the remainder when 7 is divided by a(-6).
3
Suppose f = 1, -q = q - 4*f - 8. Suppose -p - p = -q. Suppose p*j - 39 = -3. Calculate the remainder when 34 is divided by j.
10
Let g(p) = 2*p - 15. Suppose 2*z + 23 - 63 = 0. Suppose 5*d - 2 = n, -3*n - 2*d + 25 = -z. Calculate the remainder when n is divided by g(10).
3
Let n(l) = 2*l**2 + l - 6. Calculate the remainder when n(-6) is divided by 21.
18
Let q(y) = -y**2 - 14*y - 2. Suppose -4*c = c - 100. Calculate the remainder when c is divided by q(-13).
9
Let z = 91 + -48. Calculate the remainder when z is divided by 9.
7
Let x = 4 + 8. Calculate the remainder when 21 is divided by x.
9
Let y(r) = 3*r**2 + 6*r - 6. Let g be y(-6). Suppose -4*p = -h - 87, 0 = -0*p + 3*p - h - g. Calculate the remainder when 62 is divided by p.
20
Let c = 0 - 5. Let j(y) = -7*y - 12. Calculate the remainder when j(c) is divided by 13.
10
What is the remainder when 44 is divided by -1 + -1 + 6 - (-5 - 0)?
8
Suppose -n = -0*x - 3*x - 61, 117 = 2*n - x. Calculate the remainder when n is divided by 20.
18
Suppose -h - 27 = -2*v + 4*h, 5*v + 3*h - 114 = 0. Suppose -123 = -5*u - 4*y, 0 = -u + 2*u - y - v. Calculate the remainder when 68 is divided by u.
22
Let m = -5 - 15. Let s = m + 44. What is the remainder when 71 is divided by s?
23
Let v(i) = i + 12. What is the remainder when 25 is divided by v(2)?
11
Suppose -5*a + 42 + 28 = 0. Suppose 0 = 2*y - 0*y - a. Suppose -5*b = y - 97. Calculate the remainder when 53 is divided by b.
17
Let i = 23 - 14. Calculate the remainder when 32 is divided by i.
5
Suppose 65 = 7*p - 2*p. Calculate the remainder when 50 is divided by p.
11
Let z be 5*1/1 - -3. Suppose 5*f = v + v + 14, -f + 4*v = z. Suppose -f*j + 4 = -2*u - 0*j, -5*u + 15