q*y + y = -12. Suppose 4*r + n = 67, -7*n + 81 = 5*r - y*n. Calculate the remainder when r is divided by 6.
5
Let y be (-2 - -3 - -4)*1. Suppose y*z = 4*z + 6. Calculate the remainder when 9 is divided by z.
3
Let g = -13 + 9. Calculate the remainder when 16 is divided by (4 + -1)/((-2)/g).
4
Let u = -15 + 29. Calculate the remainder when u + (-12)/(-4) - 4 is divided by 5.
3
Suppose -4*r = l + 23, -3*l = 4*r - 0*l + 13. Let d(z) = z**3 + 7*z**2 + 9*z + 7. Let v be d(r). What is the remainder when (6/4)/((-21)/v) is divided by 3?
1
Let s = -1 - 0. What is the remainder when 36 is divided by 20 + 2/2*s?
17
Suppose 2*y - 19 - 11 = 0. Calculate the remainder when 29 is divided by y.
14
Suppose 0*z + 41 = -3*p - 4*z, 2*p + 3*z + 29 = 0. Let t = p - -12. Suppose -51 - 34 = -t*m. Calculate the remainder when m is divided by 9.
8
Let w = 0 + 66. Calculate the remainder when w is divided by 17.
15
Let h(o) = 4*o**2 - o**3 + 0*o**3 - 3*o + 6*o**2 + 6*o - 8. What is the remainder when h(10) is divided by (-78)/(-10) + 3/15?
6
Let l(w) = 5*w**3 - 1. Let q be l(1). Suppose 0*i - 3*i + 97 = q*c, 5*c - 3*i - 101 = 0. Calculate the remainder when c is divided by 8.
6
Let k(b) = 4*b**2. Let h be k(-1). Suppose -20 = -j - h*x - 0*x, -2*j + 16 = 2*x. What is the remainder when 7 is divided by j?
3
Let a(s) be the second derivative of -s**4/12 - 7*s**3/6 + 2*s**2 - 3*s. Calculate the remainder when 18 is divided by a(-6).
8
Let q(i) = i**3 - 5*i**2 - 2. Calculate the remainder when q(6) is divided by 12.
10
Let i be (-3 - 4/(-2))*-2. Suppose -3*r = 4*p - 29 - 33, 0 = -i*r + 2*p + 46. Calculate the remainder when r is divided by 6.
4
Suppose -1 = -m - 3*d + 2, 2*m - 34 = d. What is the remainder when 59 is divided by m?
14
Let h = 10 + -2. What is the remainder when 28 is divided by h?
4
Suppose -y + 18 = 5*n + 1, 3*n = 0. What is the remainder when 45 is divided by y?
11
Let n(z) = 1 + 5*z + 4*z + z**2 - 10*z. Suppose 2*o = -0*i - 2*i + 2, 0 = i - 5*o + 23. Calculate the remainder when n(i) is divided by 7.
6
Suppose 0 = -2*s - s - 36. Suppose 5*r = -0 + 5. Let u = r - s. What is the remainder when 25 is divided by u?
12
Suppose -13*c + 7*c + 48 = 0. Calculate the remainder when 28 is divided by c.
4
Suppose -2*p + 195 = 2*m - m, 0 = 5*m - 25. What is the remainder when p is divided by 14?
11
Let p = 40 + -26. Suppose 2*b + 53 = 3*b. Calculate the remainder when b is divided by p.
11
Calculate the remainder when 0 + (0 + 76 - -1) is divided by 26.
25
Let b(p) = p**3 - 14*p**2 + p - 3. What is the remainder when 42 is divided by b(14)?
9
Suppose 5*o - 1 - 69 = 0. Let f(n) = 3*n - 3. Let q be f(6). Suppose -u = 2*u - q. What is the remainder when o is divided by u?
4
What is the remainder when 4/(-8) + (-231)/(-6) is divided by 13?
12
Suppose -140 = -10*a + 3*a. What is the remainder when 138 is divided by a?
18
Calculate the remainder when (-2)/18*-70 - 8/(-36) is divided by 2.
0
Let i(o) = 2*o**3 - 4*o**2 - 5*o + 6. Let m = 12 - 8. Suppose 4*z + 62 = 3*y, 84 = -4*y + 8*y - 5*z. What is the remainder when i(m) is divided by y?
24
Suppose 0 = -2*t - b + 5, -5*b = 1 + 4. Suppose 0 = -t*w + 12, 5*s = -9*w + 4*w + 35. Suppose -s*d + 28 = -11. Calculate the remainder when 38 is divided by d.
12
Let b(x) = x**3 + 4*x**2 - 6*x - 4. Let z be b(-4). Let l = z - -3. Suppose 6 = v - 6. Calculate the remainder when l is divided by v.
11
Let l(d) = 3*d**2 - 4*d + 7. What is the remainder when l(5) is divided by 16?
14
Calculate the remainder when 14 is divided by 12 + -13 - (-1 + -5).
4
Suppose 0 = -2*q + 4*d - 16, -7*q + 3*q + 5*d = 17. What is the remainder when 2/13 - 63/(-13) is divided by q?
1
Let b(y) = -13*y**3 + 3*y**2 + 6*y + 3. What is the remainder when b(-2) is divided by 18?
17
Let g(k) = k**3 - 2*k**2 - 3*k - 4. Suppose 10*o = 12*o - 10. What is the remainder when g(4) is divided by o?
1
Let c(n) = 35*n. Calculate the remainder when c(1) is divided by 7 - (3 + -14 + 6).
11
Suppose -5*z + 2*z - 78 = 0. Let v = -3 - z. What is the remainder when v is divided by 13?
10
Let a(g) = -g + 8. Let v be a(-9). Suppose 0 = s - 6 - v. Calculate the remainder when 67 is divided by s.
21
Let w(f) = f**3 + 6*f**2 + 5*f + 8. Calculate the remainder when w(-3) is divided by (2 + -1)*(-11)/(-1).
9
Suppose -3*j - 2*j + 29 = -3*t, -j + 1 = -3*t. Let y(v) = -v**2 - 11*v - 4. What is the remainder when y(-7) is divided by j?
3
Let s(i) = i**2 + 4*i - 2. What is the remainder when 57 is divided by s(-8)?
27
Let i(x) = x**2 + 5*x + 4. Let p be i(-3). Calculate the remainder when 52 is divided by p - (-1 - -3)*-10.
16
Suppose 4*o - 54 = -2*z, -3*z - 11 = -o + 13. Let y = 14 + 160. Suppose 5*g = 2*g + y. What is the remainder when g is divided by o?
13
Let i(z) = -z**2 - 4*z + 4. Suppose -54 + 135 = 3*p. What is the remainder when p is divided by i(-3)?
6
Let a = -6 + 8. Suppose -2*n - a*n = t - 2, n = 5*t - 52. What is the remainder when 18 is divided by t?
8
Calculate the remainder when 145 is divided by (-3)/(-2)*(195/9 - -3).
34
Let k = -5 - -24. What is the remainder when k is divided by 4?
3
Suppose 2*q - 223 = -c, -7*q = -5*q - 5*c - 229. What is the remainder when q is divided by 23?
20
Let m(a) = a**3 + 6 - 7*a + 14*a + 8*a**2 - 2. Let n be m(-6). Let y = n + -23. Calculate the remainder when y is divided by 4.
3
Suppose -5*l + 15 = -2*r + 7*r, 15 = 5*r - 4*l. Suppose r*c - 52 = -4. Calculate the remainder when c is divided by 9.
7
Let c = -3 + 6. Let r be c/12*2*2. Suppose 3*n = 0, 0*m + 5*n + r = m. Calculate the remainder when m is divided by 1.
0
Let z = 2 + -12. Let v = 24 + z. What is the remainder when 26 is divided by v?
12
Let p(z) = 2*z**3 - 3*z**2 + 2*z. Calculate the remainder when p(3) is divided by -4 + 10/1 + 3.
6
Suppose -3*l - 107 = -7*l - h, -h + 29 = l. Suppose 0*d = 2*d - 18. What is the remainder when l is divided by d?
8
Let p be 1/2*(-1 + 1). Suppose p = 5*z - 9 - 31. Suppose -2*k - 4*w + 58 = 0, 0*k - 2*w - 116 = -4*k. Calculate the remainder when k is divided by z.
5
Suppose 8 = -4*a, 5*a = -2*y + 4*y - 14. Calculate the remainder when 169/39 + (-2)/(-3) is divided by y.
1
Let d(g) = g**3 - 3*g**2 + 4*g - 3. Let u be d(3). Suppose -7 = -z + 4. Suppose w - z = -t, -2*w + 2*t + u = -21. What is the remainder when 36 is divided by w?
10
Let s = 80 - 50. Calculate the remainder when s is divided by 8.
6
Let j be 230/7 + (-4)/(-28). Suppose 3*u + 0 = j. What is the remainder when 43 is divided by u?
10
Suppose g = 15 - 3. What is the remainder when 111/6 - 6/g is divided by 5?
3
Let p(n) = -n**2 - 8*n + 3. Let q be p(-12). Let b = q - -27. Let g = 25 + b. What is the remainder when g is divided by 4?
3
Let q(p) be the second derivative of -p**5/20 - p**3/6 + 23*p**2 + 2*p. Calculate the remainder when q(0) is divided by 16.
14
Let h(s) = 8*s - 1. Let w be h(8). Suppose -5*r + w = -f, 5*r - 19 = -3*f + 52. What is the remainder when 38 is divided by r?
12
Suppose 5*h - 103 - 72 = 0. Let u be 0/2 + 6 - 2. Suppose -3*t + 0*k = u*k - 16, k + 5 = 0. Calculate the remainder when h is divided by t.
11
What is the remainder when 14 is divided by ((-6)/(-12))/((-1)/(-6))?
2
Let z(w) = 4*w**2 + 3*w**2 - 3*w**2. What is the remainder when z(-3) is divided by (-1 - 18)/(-8 - (-7 + 0))?
17
Let g = 29 - 19. Suppose 0 = -10*w + 11*w - 43. Let v = -25 + w. What is the remainder when v is divided by g?
8
Let f = -4 + 6. Let k be ((-3)/4)/((-20)/160). Suppose -j + 20 = f*v, 2*j - 5*v - 1 + k = 0. What is the remainder when j is divided by 6?
4
Let r(v) = 5*v - 1. Suppose -4 = -2*x - 2*h, 5 = h - 6*h. Calculate the remainder when r(1) is divided by x.
1
Suppose -3*j + 7 + 8 = 0. Suppose j*f + 2 = 22. What is the remainder when 11 is divided by f?
3
Let v = -12 + 20. Calculate the remainder when v is divided by 3.
2
Let m(t) = t. Let z be m(2). What is the remainder when 30 is divided by (1/z)/((-1)/(-32))?
14
Let r(s) = -5*s - 6. What is the remainder when r(-8) is divided by 9?
7
Let x = 55 + -12. Calculate the remainder when 124 is divided by x.
38
Let l(x) = -x**2 + 7*x + 2. Let f(m) = m**3 + 6*m**2 - 6*m + 9. Let s be f(-7). Calculate the remainder when (1/(-1))/(s/(-4)) is divided by l(7).
0
Calculate the remainder when 112 is divided by (-38)/57 - (-232)/6.
36
Let d 