+ p*n = -24. Calculate the remainder when 2/3 - 224/n is divided by 13.
12
Let l(b) = -b**2 - 6*b - 3. Let s be l(-5). Suppose 4*w - 31 = s*w - u, -5*u + 1 = -w. Let g = w + -6. What is the remainder when 15 is divided by g?
7
Let y(w) = w**3 + 7*w**2 - 10*w - 1. Let q = -2 - 6. What is the remainder when y(q) is divided by 6?
3
Suppose -2*j + 70 = n - 5*n, n = 0. What is the remainder when 27 is divided by 192/14 + 10/j?
13
Let m(b) = -5*b - 1. Let a be m(-2). Let s(t) = -t**3 + 2*t**2 + 2*t. Let q be s(3). Calculate the remainder when 49 + (-3)/a*q is divided by 17.
16
Let k(s) = s**3 - 7*s**2 - 6*s + 9. Calculate the remainder when k(8) is divided by 9.
7
Suppose 0 = -5*q - t + 61, 2*t + 1 = 3. What is the remainder when 71 is divided by q?
11
Let z(t) = 3*t - 2. What is the remainder when 14 is divided by z(2)?
2
Let w = -16 - -10. Let d = 11 + w. What is the remainder when (-4)/(12/(-8) + 1) is divided by d?
3
Let q(j) = -j**3 - 6*j**2 - 6*j - 4. Let o = -2 + 4. Suppose -5*w - o*t = 3, -t = -3*w - 0*w + 7. Calculate the remainder when w is divided by q(-5).
0
Suppose u + 4*m = 14 + 16, -5*m + 30 = u. What is the remainder when u is divided by 16?
14
What is the remainder when 54 is divided by 18 + (-2)/(-3)*-6?
12
Suppose 6 = -3*b, -3*k + 3*b + 16 + 41 = 0. What is the remainder when 99 is divided by k?
14
Calculate the remainder when 16*(-2)/(-2) - 4 is divided by 3.
0
Suppose -5*s + 4*w = 10, 2*s - 7*s - 4*w = -30. Suppose 0 = -y + 2. Calculate the remainder when s is divided by (y - 1)/(1 - 0).
0
Let u(l) = 20*l - 1. Let f(x) = x**3 + 3*x**2 - 2*x - 2. Let a be f(-2). Suppose -5*m + a + 4 = 0. What is the remainder when u(m) is divided by 10?
9
Let r(p) = p**2 + 6*p - p - 1 + 0*p - 3*p. What is the remainder when r(5) is divided by 9?
7
Let c = 62 - 12. What is the remainder when c is divided by 27?
23
Suppose 2*g = -4 + 2, 4*f + 2*g = -110. Let h = f + 57. Suppose w + 2*w + 4*m - 40 = 0, -4*m - 16 = -4*w. What is the remainder when h is divided by w?
6
Let v = 12 + -18. Let t = 27 + v. What is the remainder when 40 is divided by t?
19
Let b = 4 - 3. Suppose -6 = -r - 1. Calculate the remainder when r is divided by 1*(1 - b) - -2.
1
Let x = -30 + 51. Calculate the remainder when x is divided by 8.
5
Suppose -286 = -4*g - 2*f - 0*f, 3*g = 4*f + 242. What is the remainder when g is divided by 19?
17
Suppose 168 = 5*u - 2*u. Suppose -r = -0*n + n - 29, 2*r = -4*n + u. What is the remainder when r is divided by (4/1)/((-1)/(-4))?
14
Let n = -19 + 59. What is the remainder when 117 is divided by n?
37
Let q be (-733)/7 + 2/(-7). What is the remainder when ((-4)/(-6))/((-2)/q) is divided by 9?
8
Let t = 29 - 22. What is the remainder when 18 is divided by t?
4
Let b(j) = -j**2 + 6*j + 4. Suppose -5*n - 2*q = -28, n - 6*n - q = -29. Suppose t + 1 = n. What is the remainder when b(5) is divided by t?
4
Let s = -35 - -115. Suppose 3*z - s = z. Calculate the remainder when z is divided by 14.
12
Let s(g) = -g**2 + 5*g + 5. Let i be s(7). What is the remainder when 30 is divided by 1*(4 + -4 - i)?
3
Suppose a = -4*d + 203, 3*d + 4*a = a + 150. Let x = -7 + 20. Calculate the remainder when d is divided by x.
12
Calculate the remainder when 108 is divided by 3 + (9 + (-1 - -3))/1.
10
Let r = 43 + -78. Let k = 60 + r. Let p(q) = -q + 16. Calculate the remainder when k is divided by p(7).
7
Let z(l) = l**2 + 3*l + 1. Let c(h) = -6*h**3 - h**2 + h + 1. Let f be c(-1). Let k be z(f). Let o = -27 + k. What is the remainder when 41 is divided by o?
13
Suppose 4*h = 2*a - 28, -2*h + 10 = -2*a + 5*a. Let g(m) = 4*m - 14. Let r = 58 + -20. Calculate the remainder when r is divided by g(a).
8
What is the remainder when 91 is divided by (2 + -1)/(2/62)?
29
Let r(p) = -p**3 - 3*p**2 - 2*p - 1. Let o be r(-3). Suppose -o*n = -6*u + 2*u - 66, 3*n = -5*u + 10. Calculate the remainder when n is divided by 4.
2
Suppose -5*b - 2*p - 929 = -101, -2*b + 3*p - 316 = 0. Let k = -98 - b. What is the remainder when k is divided by 17?
15
Let u(j) = j**2 - 5*j - 5. What is the remainder when 1 is divided by u(6)?
0
Let k(f) = -f + 6. Calculate the remainder when k(2) is divided by 2.
0
Let h(k) = k**2 + 2*k - 6. Let o(s) = 2*s - 4. Let z be o(4). Calculate the remainder when h(z) is divided by 5.
3
Suppose 4*n - 28 = 36. Suppose -20*b - 2*a = -18*b - 154, 394 = 5*b - 4*a. Calculate the remainder when b is divided by n.
14
Suppose -2*c - 2*x + 31 - 5 = 0, -4*c + x = -37. Suppose 2*a = 7*a + c. What is the remainder when 38 is divided by a/(-5) - 126/(-10)?
12
Let r(g) = -g**2 + 8*g + 3. Let y be r(8). Let o(u) = -2 + 0*u + 2*u**2 - u**2 - 3*u + y. Calculate the remainder when 2 is divided by o(3).
0
Let a be (-3)/12 + 3/12. Suppose a = -4*j - 5*b + 135, 96 = 3*j - 0*j + 2*b. What is the remainder when j is divided by 16?
14
Suppose -26 = 4*u - 6, 190 = 4*n - 2*u. Calculate the remainder when n is divided by 16.
13
Let d = 4 + 0. Suppose 0 = 2*x - 12 - d. Suppose -l + 15 = 2*l. What is the remainder when x is divided by l?
3
Suppose 24 = 5*w + 4. Suppose 4*z - 5*k = -2*k + 79, w*k + 4 = 0. Calculate the remainder when z is divided by 7.
5
Let x(k) = -10*k**2 - 2*k. Let a(m) = -10*m**2 - m. Let y(f) = -3*a(f) + 2*x(f). Calculate the remainder when y(-2) is divided by 11.
9
Let x(v) = 2*v**2 + v - 7. Calculate the remainder when x(-12) is divided by 16.
13
Let z(m) = m**2 + 4*m + 2. Let o be z(-5). Suppose 2*a - 8 = 0, -i + 0*a + o = -a. Let h(w) = -w**2 + 11*w + 4. What is the remainder when h(i) is divided by 2?
0
Let k(j) = -j**2 + 10*j - 10. Let o be k(8). Suppose -d + o*d = 205. Let s = 13 - -1. Calculate the remainder when d is divided by s.
13
Let q = -8 + 5. Let l(n) be the third derivative of n**6/120 + n**5/15 + n**4/24 + n**3/6 + 3*n**2. What is the remainder when l(q) is divided by 4?
3
Let h be (-130)/(-4) + (-17)/(-34). Suppose 0 = -0*w + 3*w - h. What is the remainder when 54 is divided by w?
10
Suppose -2*f - 3*d + 10 + 16 = 0, 4*f = 2*d + 52. Calculate the remainder when 37 is divided by f.
11
Let h = 8 + -5. Suppose -r + 3*x = 0, 2*r + h*x - 8 = x. Suppose 6 = 2*n - 4. What is the remainder when n is divided by r?
2
Let s(u) be the second derivative of u**5/10 - u**4/12 - u**3/6 - 4*u. Let i be s(-1). What is the remainder when (0 + (-3)/i)*14 is divided by 11?
10
Let j(i) = 6*i. Let x(b) = 2*b + 3*b**2 + 4*b**3 + 0*b - 5*b**2 - 1. Let c be x(1). What is the remainder when j(c) is divided by 10?
8
Let c be (-2)/2 - (-70 + 0). Suppose -5*t = -3*g + 8, 9*t - c = -4*g + 4*t. What is the remainder when 19 is divided by g?
8
Let v(w) = -5*w**3 + w**2 - w - 9. What is the remainder when v(-3) is divided by 20?
18
Suppose 6*t = t + 55. Let o = 11 + -9. Suppose 5*z = -3*h + 80, o*h - 22 = -5*z + 63. Calculate the remainder when z is divided by t.
8
Suppose -5*a + 4*p + 38 = -3*a, 5*a = 2*p + 119. Calculate the remainder when 71 is divided by a.
21
Suppose 7 = 4*c + 3*w, 4 = 3*c + 2*w - 0. Suppose -k = -7 - 0. What is the remainder when (c/4)/((-3)/72) is divided by k?
5
Let c(d) = -27*d + 2. Calculate the remainder when 81 is divided by c(-1).
23
Suppose 3*p - 6 = -0. Let o = 9 - p. Suppose 3*s + 2*s + c = o, 5*s - 13 = c. What is the remainder when s is divided by 1?
0
Let t = -123 - -133. Let x(i) = 5*i + 3. Calculate the remainder when x(3) is divided by t.
8
Suppose 4*r = -2*j + 8, -j = -2*r - r + 11. Suppose -3*o + 6 = 4*d + d, -2*d = o - r. What is the remainder when 7 is divided by d?
1
Let c(w) = -w**3 + 4*w**2 - w + 5. Let k be c(4). Let d(o) = 2*o**3 - 2*o**2 - 3*o. Calculate the remainder when d(3) is divided by 0 + k/1*14.
13
Let w(s) = -s**3 + 7*s**2 + s - 8. Calculate the remainder when w(6) is divided by 9.
7
Suppose -s = -3*s + 28. Suppose -k + s = k. Let w = 4 + -1. What is the remainder when k is divided by w?
1
Suppose 3*t = -t + 956. Let v = t - 115. Let f = -86 + v. Calculate the remainder when f is divided by 13.
12
Let s(u) = -10*u**3 - u**2 + 1. Let h be s(1). Let l = -5 - h. Calculate the remainder when 43 is divided by l*(0/1 + 3).
13
Suppose -5*m - 2*n = -143, 2*m - 61 = 3*n - 0*n. Suppose -5*g + m = -6. Let c(h) = h**2 - 2*h - 4. Calculate the remainder when g is divided by c(4).
3
Suppose -u + 2*u = -8. Let x be (-171)/(-12) + (-6)/u