c(5). Suppose -4*q - n = -4*y, 4 + 6 = 5*q. Calculate the remainder when y is divided by 6.
3
Let b = -40 - -100. Calculate the remainder when b is divided by 21.
18
Calculate the remainder when (4/6)/(34/1581) is divided by 19.
12
Let f = 6 + -2. Suppose 54 = 5*h - w - 30, f = -w. Calculate the remainder when 30 is divided by h.
14
Suppose -65 = -5*q + 50. Let t(k) = -k**2 - 11*k - 10. Calculate the remainder when q is divided by t(-9).
7
Let g(j) = j + 2. Let y be g(0). Let p(s) = 12 - 5*s - s**2 - 3 + 0*s + y*s**2. Calculate the remainder when 43 is divided by p(6).
13
Suppose -4*d + 11 - 1 = -2*g, 5*g - 17 = -4*d. Suppose -d*c = p + 1 + 4, -15 = -2*p - c. Calculate the remainder when 39 is divided by p.
9
Let l = 29 + -19. What is the remainder when 17 is divided by l?
7
Suppose -x + 8 = -2*h, -2*x + 5*h = -9 - 6. What is the remainder when 16 is divided by x?
6
Let y = -34 + 19. Let h = 7 - y. Calculate the remainder when 65 is divided by h.
21
Let o = 5 - 10. Let j = -8 - -18. Let d = o + j. Calculate the remainder when 14 is divided by d.
4
Suppose 0 = -2*o - 1 + 11. Suppose 4*z = 5*b - 30, 2*z = o*b + 4*z. Suppose 22 = w - 3*u - 2*u, 3*u + b = -w. What is the remainder when 12 is divided by w?
5
Suppose 5*s - 5*y - 25 = 0, 3*s - 18 - 13 = -5*y. Suppose -9 = -4*f - 3*q, -2*f - 3*q = -0*q - 3. Calculate the remainder when s is divided by f.
1
Let s(x) = -x - 2. What is the remainder when 3 is divided by s(-4)?
1
Let h be 225/21 - (-4)/14. Let b = 1 + h. Let w(l) = l**2 + 2*l. What is the remainder when w(5) is divided by b?
11
Suppose 0 = 3*y - 0*b + 3*b + 12, 4*y + 2*b = -8. Suppose 5*v = -2*t - 10 + 175, 2*v - t - 57 = y. What is the remainder when 122 is divided by v?
29
Suppose -2*d + d - 4*r + 31 = 0, 5*d = r + 50. Suppose -2*f + 3*j + 70 + 1 = 0, 3*j - 22 = -f. What is the remainder when f is divided by d?
9
Suppose 0 = 2*b - 6*b + 16. Let h be 5 - (-4 + 5)*2. Suppose -z + 5*g - 5 = g, -h*g = -3*z + 12. Calculate the remainder when z is divided by b.
3
Suppose -18 = 5*z + 12. Let h = 10 + z. Suppose -b = -h*b + 39. Calculate the remainder when 24 is divided by b.
11
What is the remainder when 112 is divided by ((-228)/(-8))/(2/4)?
55
Let s(m) be the first derivative of -7*m**2/2 - 4*m - 3. Suppose -2*l = -8 - 22. Calculate the remainder when s(-9) is divided by l.
14
What is the remainder when 12/(-10)*(-22 - -2) is divided by 9?
6
Suppose -11*x = -13*x + 24. What is the remainder when 117 is divided by x?
9
Suppose -7*m + 3*m = 0. Suppose 4*i - 16 + 0 = m. Suppose -40 = -i*l + 16. Calculate the remainder when l is divided by 8.
6
Suppose -3*s - 4*d = -d - 51, 5*s + d = 97. Suppose -c + 5 - 18 = 0. Let p = 24 + c. Calculate the remainder when s is divided by p.
9
Suppose v - 2*w - 14 = w, 4 = -2*v - 2*w. Suppose 0 = 2*b + v*b - 4. Calculate the remainder when b is divided by 5/2 + (-12)/8.
0
Suppose -3*z + 2*h - 13 = 0, -z - 6*h - 8 = -3*h. Let g be (4 - z)*2/3. Calculate the remainder when (-3)/(g/44*-1) is divided by 8.
6
Suppose 34*f = 36*f - 56. What is the remainder when f is divided by 10?
8
Let i = 8 + -6. Let u be 20/(-5)*i/(-8). Calculate the remainder when 13 is divided by 5*u/(-4)*-4.
3
Let w be (-2)/(-3)*(-2 - -8). Suppose 24 = 2*c - w*x, -x = 5*c - c - 30. Suppose 0 = -5*i + c + 32. What is the remainder when i is divided by 5?
3
Let k be (1 - 3) + 68/2. What is the remainder when ((-3)/(-3))/(2/k) is divided by 9?
7
Let k = 19 - -12. What is the remainder when 123 is divided by k?
30
Let v(k) = -k**2 - 5*k + 3. Let c be v(-5). Let p(d) = -d**3 + 2*d**2 + 4*d + 1. Suppose 2*m = m + 2. Calculate the remainder when p(c) is divided by m.
0
Let k = -60 + 75. What is the remainder when 44 is divided by k?
14
Let n(z) = z**3 + 5*z**2 + 9*z + 2. Let p(q) = q**3 + 5*q**2 + 10*q + 2. Let d(h) = -3*n(h) + 2*p(h). Calculate the remainder when d(-5) is divided by 9.
6
Let m = -10 + 34. What is the remainder when 94 is divided by m?
22
Suppose -157 = -5*c - 2*k, 4*c + k = 74 + 54. What is the remainder when c is divided by 12?
9
Let a = -35 + 57. Suppose 3*v = 5*v - a. What is the remainder when 32 is divided by v?
10
Let i = 24 + -14. What is the remainder when 16 is divided by i?
6
Let y(s) = 11*s + 2. Let u(d) = -d**3 + 2*d**2 + 3*d + 3. Let p be u(3). What is the remainder when y(p) is divided by 18?
17
Suppose -5*i + 114 + 26 = 0. What is the remainder when 55 is divided by i?
27
Suppose -10 = 3*r - 16. Let v = -18 + 6. Calculate the remainder when (9/(-2))/(9/v) is divided by r.
0
Suppose 2*b + 3*b - 15 = 0. Calculate the remainder when (b/3)/((-2)/(-10)) is divided by 18/8 - 6/24.
1
Let p(v) = -6*v + 15. Let d be p(6). Let o = d - -45. What is the remainder when o is divided by 13?
11
Suppose 5*k = -4*v + 22, 5*k - 17 - 2 = -3*v. What is the remainder when 5 is divided by v?
2
Suppose -7*c - 66 = -220. Calculate the remainder when 65 is divided by c.
21
Let q = -12 - 9. Let j = q + 30. What is the remainder when 17 is divided by j?
8
Suppose 0 = 2*f - 5 - 3, -5*f + 26 = -2*l. Let d(c) = -c**2 - 2*c + 3. Let i be d(l). Suppose -2*w + 5*w - 78 = i. What is the remainder when w is divided by 9?
8
Let w(k) = 9*k**2 + 5*k + 6. Let u(q) = q**2 - q - 1. Let o(d) = 5*u(d) + w(d). Calculate the remainder when 58 is divided by o(-1).
13
Suppose -4*y - 7*b = -2*b - 209, 207 = 4*y + 3*b. Calculate the remainder when 252 is divided by y.
48
Suppose -14*a + 10*a = -20. What is the remainder when 6 is divided by a?
1
Let f(s) = -s**3 + 13*s**2 - 13*s + 18. Calculate the remainder when 10 is divided by f(12).
4
Let q(v) = v**3 - v**2 - 4*v + 5. Let i be q(2). Suppose 3*m - 4*b = 38, -2*b + i = -1. Calculate the remainder when 27 is divided by m.
13
Let c = -36 - -66. What is the remainder when c is divided by 16?
14
Let v(l) be the second derivative of l**4/12 - 3*l**2 + 2*l. What is the remainder when 38 is divided by v(4)?
8
Let f be (-1)/((-2)/(-1) + -3). Suppose -o + f = -1. Suppose -n + 26 = o*k, -2*k + 0*k + 42 = 2*n. What is the remainder when n is divided by 6?
4
Let t(z) = z**2 - 4*z - 3. Let x be t(-2). Let k = -1 - -3. Suppose -j + k*j = x. What is the remainder when j is divided by 5?
4
Calculate the remainder when -2 + -28*(-1 + 0) is divided by 7.
5
Calculate the remainder when 14 is divided by 12/10*(-80)/(-12).
6
Let d be 4/(-4) + -1*3. Let r = d + 8. Calculate the remainder when 9 is divided by r.
1
Let r(h) = 3*h - 10. Let f be r(6). Let c(l) = -l**2 + 10*l - 5. What is the remainder when c(f) is divided by 7?
4
Let v = -102 - -154. Calculate the remainder when v is divided by 14.
10
Let d = -4 - -5. What is the remainder when 2 is divided by d?
0
Suppose -4*s + 16 = 0, 107 - 8 = 5*h + s. What is the remainder when h is divided by 7?
5
Let j = -2 - -18. Let d(v) = 3*v**3 + v**2 + v. Calculate the remainder when d(2) is divided by j.
14
Let y(t) = t**3 + 5*t**2 - 6*t + 2. Calculate the remainder when y(-5) is divided by 11.
10
Let s(r) = r + 14. Let h be s(-9). Let d = h - 2. Suppose -3*x - d*o - 8 = -38, 2*x - 3*o = 25. Calculate the remainder when 32 is divided by x.
10
Suppose -3*a - 6*a + 207 = 0. What is the remainder when a is divided by 9?
5
Let o(z) = 2*z**2 - 19*z - 8. What is the remainder when o(12) is divided by 20?
12
Suppose 9 + 11 = 2*u. Suppose 0 = 7*j - 6*j - 28. Calculate the remainder when j is divided by u.
8
Suppose 14 = -4*w - 5*x, -6 = 4*x - x. Calculate the remainder when ((-13)/26)/(w/36) is divided by 10.
8
Suppose 2*j = 4 - 2, -74 = -3*t - 5*j. What is the remainder when t is divided by (0 + -1)/(2/(-26))?
10
Suppose 0 = 2*a + 2 - 6. Suppose -36 = -4*y + k, -6*k - 8 = y - a*k. What is the remainder when 12 is divided by y?
4
Let p(d) = -d**2 - 8*d - 2. Let v be p(-7). Let j(s) = -s**3 + 7*s**2 - 6*s - 4. What is the remainder when j(v) is divided by (1 + 0)/((-3)/(-27))?
7
Let p(i) = -3*i**3 + 3*i**2 + i. Let l(r) = r - 6. Let j be l(4). Calculate the remainder when p(j) is divided by 12.
10
Suppose 5*b + 5*t = 65, 55 = 3*b - t + 16. What is the remainder when (34 - (2 + -3))*1 is divided by b?
9
Let y = -18 - -24. Suppose -k = -y*k + 70. What is the remainder when 26 is divided by k?
12
Let z = 19 - -34. Suppose 4*o - 31 = -5*t, 0 = -2*o - 0*o + 5*t + 53. Calculate the remainder when z is di