5. Let t be (-5)/(-10) - c/2. Suppose -z + 28 = 2*r, r = -r + t*z + 12. Calculate the remainder when 23 is divided by r.
11
Let z(p) = -2*p - 2*p + 5 + 6*p. Suppose -82 - 173 = -5*c. What is the remainder when c is divided by z(4)?
12
Suppose 4*c + 3*p - 87 = 0, 0 = -2*c - 0*c + 2*p + 26. Suppose 0 = r - 2 - 5. Calculate the remainder when c is divided by r.
4
Let r(u) = -u**3 - 8*u**2 + 9*u + 6. Calculate the remainder when 22 is divided by r(-9).
4
Calculate the remainder when 60 is divided by 2 - (-6 + 5)*5.
4
Let c(d) = -d**2 - 3*d - 2. Let g be c(-5). Calculate the remainder when g/8*(-50)/3 is divided by 13.
12
Let o(u) = u**2 + 2*u. Let i be o(-3). Let d = 89 - 57. Suppose 7 = i*g - d. Calculate the remainder when g is divided by 7.
6
Let v(d) = 7*d + 13. What is the remainder when v(12) is divided by 25?
22
Let v(o) = -o**2 - 10*o - 11. Calculate the remainder when 17 is divided by v(-7).
7
Calculate the remainder when (-249)/(-5) + (-2)/(-10) is divided by (6/(-4))/(-3)*26.
11
Suppose -61 = -2*k - 5*l - 14, -2*k = -3*l - 23. Let u = -2 + 2. Suppose -3*v + 2*v + 9 = u. What is the remainder when k is divided by v?
7
Let v be (-2*(-72)/4)/1. Suppose -9*y = -8*y - v. Let j(r) = -2*r - 1. What is the remainder when y is divided by j(-7)?
10
Suppose -5*i + 92 = 4*o, -o + 8 - 2 = -3*i. Let x = o + -4. Suppose 2*u - u - 5 = 0. What is the remainder when x is divided by u?
4
Let t be (-10)/(-55) + 394/11. Suppose 0 = g - 4*g + t. Suppose -169 - 6 = -5*r. Calculate the remainder when r is divided by g.
11
Let a(d) = d**2 + 5*d - 3. Let q(u) = -8*u**2 + u. Let o be q(1). What is the remainder when 32 is divided by a(o)?
10
Suppose -2*m - 6 = -4*m. Let v = -2 + 4. Calculate the remainder when m is divided by v.
1
Suppose -3*n - t = -86, 2*n - 5*t + 24 = 3*n. What is the remainder when n is divided by 8?
5
Suppose 0 = 3*a - 14 - 22. What is the remainder when a is divided by 3?
0
Suppose 0 = x - 5*x + 44. Let w = -21 + 25. What is the remainder when x is divided by w?
3
Let r(b) = 5*b**2 + 10*b - 14. Calculate the remainder when r(-8) is divided by 46.
42
Suppose 4 = 4*j - 2*d, -4*j - 5 + 19 = 3*d. Let l(i) = -2 - i**2 + i**j + i**2 + 3*i. What is the remainder when l(-7) is divided by 14?
12
Let l(r) = -r + 1. Let s(n) = 3*n**2 + 18*n - 18. Let o(h) = 15*l(h) + s(h). Calculate the remainder when o(3) is divided by 17.
16
Suppose -5*q - 4*p + 104 = -q, -4*q - p + 107 = 0. What is the remainder when 53 is divided by q?
26
Suppose -k - k = 0. Suppose -2*j + 13 + 3 = k. Calculate the remainder when 15 is divided by j.
7
Let u(c) = c**2 + 5*c - 8. Let k be u(-10). What is the remainder when 18 is divided by 12/k - (-52)/14?
2
Let q = 113 + -90. Calculate the remainder when q is divided by 8.
7
Calculate the remainder when (-3 - 0)/(2/(-20)) is divided by 16.
14
Calculate the remainder when 53 is divided by -4*(-21)/28 - -19*1.
9
Let c = 76 - 20. Suppose 2*n - c = -b + 18, n + 2*b = 31. What is the remainder when n is divided by 21?
18
Let f(y) = -2*y**2 - 2*y - 6. Let c(g) = -g**2 + g - 1. Let d(s) = -3*c(s) + f(s). Let v be d(6). Let u = v + 7. What is the remainder when 28 is divided by u?
8
Let i(v) = 1. Let b(z) = z - 4. Let a(s) = -b(s) + 6*i(s). Calculate the remainder when a(-10) is divided by 11.
9
Suppose 2*q + 24 = 5*q. Let k be (1 + 2/(-4))*-2. Calculate the remainder when 14*k/(-2)*2 is divided by q.
6
Suppose -15*q - 340 = -25*q. Calculate the remainder when 128 is divided by q.
26
Let w(o) = -o**3 - 3*o**2 - 2*o - 3. Let k be w(-3). Suppose 2*n = k*n - 19. What is the remainder when n is divided by ((-33)/22)/((-6)/28)?
5
Suppose -32 = 3*s - 4*y + 3*y, 5*s - 5*y + 60 = 0. Let n = s + 19. Calculate the remainder when 4/(-14) - (-184)/7 is divided by n.
8
Let l(g) be the second derivative of -g**4/12 - g**3/6 + g**2 + g. Let s be l(0). What is the remainder when ((-2)/1)/(s/(-47)) is divided by 16?
15
Let l(y) = -3*y - 1. Let h be l(-1). Suppose 3*n - 24 = -3*z, 0*n - 3*z + 17 = h*n. What is the remainder when 27 is divided by n?
6
Let q be 1/1 - (2 + 5). Let z(p) = 6*p + 57. Let i be z(-11). Let c = q - i. Calculate the remainder when 7 is divided by c.
1
Let g = -267 + 277. Let j(y) = 115*y - 1. Let a be j(1). Suppose v + 2*v = a. What is the remainder when v is divided by g?
8
Suppose -4*s + 5*h + 117 = 0, 94 = 3*s - h - 4*h. Suppose 0 = -6*f + f - 45. Let z = f + s. What is the remainder when z is divided by 8?
6
Suppose 0*v - 5*a = -3*v + 7, 2*a - 44 = -4*v. Let m = v - -1. What is the remainder when m is divided by (-3)/(((-3)/(-2))/(-3))?
4
Let t(g) = -3*g + 42. What is the remainder when t(-20) is divided by 26?
24
What is the remainder when 1/(-5) + 1155/25 is divided by 24*(12/(-9) - -2)?
14
Suppose -h - h = -34. What is the remainder when h is divided by 9?
8
Suppose b = -0*b + 7. Let f = -3 - -1. What is the remainder when 8 is divided by b + (f*3)/3?
3
Let i = 10 - 6. Suppose 4*j + i*o = 7*o + 50, -j + 5 = 3*o. Calculate the remainder when 41 is divided by j.
8
Suppose 5*b + 2*n = 5, 3*n = -3*b + 7*n + 3. Suppose 0 = 3*a - 4*k - 5, 5*k = -4*a - 14. What is the remainder when 2/(4 + -1 + a) is divided by b?
0
Let u = -78 - -55. Calculate the remainder when (u - 2)*(-5 - -4) is divided by (-41)/(-3) - 1/(-3).
11
Suppose -4*q + 48 = -4*h - 72, 0 = -5*q + 4*h + 147. Calculate the remainder when q is divided by 15.
12
Let p(k) = k**3 - 5*k**2 - k - 7. Let f = 24 + 32. Suppose 0 = -4*b - 8 + f. Calculate the remainder when p(6) is divided by b.
11
Suppose -k - 23 = -2*l, k = 5*l + 9 - 71. Calculate the remainder when 35 is divided by l.
9
Let j be (-12)/(-5) + 10/(-25). Suppose j*t = -0*t. Suppose 5*w - 250 = -t*w. What is the remainder when w is divided by 17?
16
Suppose 38 = 2*a + 2. Calculate the remainder when 34 is divided by a.
16
Suppose -174 = -4*i - 10. Let q = 57 - i. What is the remainder when q is divided by 6?
4
Let j be (3/1)/((-3)/(-2)). Suppose -j*s - 2 - 2 = 0. Let i(w) = -4*w**3 + 2*w**2 + w. Calculate the remainder when i(s) is divided by 13.
12
Suppose 2*c + 3 = 3*c. Let i(h) = 6*h**2 + 2*h - 2. What is the remainder when i(1) is divided by c?
0
Let j(r) = -r**3 - 8*r**2 - 2*r - 2. Suppose -5 = p + 3. What is the remainder when 26 is divided by j(p)?
12
Let a(q) = q**3 + 8*q**2 + 6*q. Calculate the remainder when 29 + (-2)/((-4)/(-4)) is divided by a(-7).
6
Suppose -48 = 14*y - 16*y. Calculate the remainder when y is divided by 14.
10
Let l(c) = -c**3 - 8*c**2 - 4*c + 3. Let s be l(-4). What is the remainder when 1 + 1 + s/(-3) is divided by 9?
8
Suppose g - 3*b - 34 = -4*g, 3*g - b - 18 = 0. Suppose 60 - 20 = g*l. Suppose -4*n - l = -k - 2*n, -k - 5*n = -8. What is the remainder when k is divided by 3?
2
Let x = 27 - 19. Calculate the remainder when 14 is divided by x.
6
Let m(p) = 43*p**2 - 1. Calculate the remainder when m(-1) is divided by ((-54)/270)/(1/(-55)).
9
Suppose 2*z - 3*z = -3*h + 100, -4*z = 2*h - 90. Let p = -5 - -7. What is the remainder when h is divided by (-2 - (-8)/p)*6?
11
Let t = 242 + -122. Suppose -t = -3*q + q. Suppose -3*z + 60 = 5*a, -4*z + q = z - 5*a. Calculate the remainder when 28 is divided by z.
13
Suppose -m + 21 = 4*r, m = 4*r - 6 - 5. What is the remainder when 19 is divided by r?
3
Suppose 4*q - 6 = 46. Let i(c) = 3*c + 3. Let f be i(3). Suppose -p = -13 - f. Calculate the remainder when p is divided by q.
12
Let l be 4/(-8) - (-69)/(-6). Let u be l/10*(-15)/6. Suppose -8*s + 115 = -u*s. What is the remainder when s is divided by 8?
7
Suppose 455 = -0*x + 5*x. Calculate the remainder when x is divided by 23.
22
Let q(u) be the second derivative of 7*u**4/4 + u**3/3 + u**2/2 - 10*u. What is the remainder when q(2) is divided by 30?
29
Let l(j) = -j**2 - 8*j - 4. Let k be l(-4). Suppose 25 = 2*p + 5*c + 6, -4*c = -k. Let w = -3 - -8. What is the remainder when w is divided by p?
1
Let t(w) = w**3 - 7*w**2 + w - 4. Suppose 23 = 4*x - c - 0*c, x = 3*c - 8. Let v be t(x). Suppose 64 = v*l - l. Calculate the remainder when l is divided by 11.
10
Let g(y) = -y**2 + 15*y - 29. Calculate the remainder when g(12) is divided by 3.
1
Let x(j) = 16 + 2*j - j - j**2 + 0*j**3 - j**3. Suppose 4*b + 4*m = -1 + 13, -m + 15 = 3*b. What is the remainder when x(0) is divided by b?
4
Let q(m