 31.
29
Let x(y) = -y**2 - 8*y - 7. Let p be x(-6). Suppose t - p*r = -4, -2*t = -3*r - 0 + 1. Calculate the remainder when 3/3 + t + 42 is divided by 15.
14
Let k(j) = -j**3 - j**2 - j + 99. What is the remainder when k(0) is divided by 34?
31
Let u(q) = q**2 + 3*q - 3. Let t be u(-4). Let m(v) = -3 - v**2 + 3 + 17*v**3. Calculate the remainder when m(t) is divided by 6.
4
Let r(n) = 45*n + 11. Let t(h) = 14*h + 6 - 1 + 8*h. Let k(j) = 6*r(j) - 13*t(j). Calculate the remainder when 33 is divided by k(-1).
16
Suppose 5 + 0 = 5*q - 5*v, -12 = -3*v. Calculate the remainder when 38 is divided by q.
3
Suppose 3*o + c - 32 = 25, c + 69 = 4*o. Suppose -3*u = -o - 3. What is the remainder when 26 is divided by u?
5
Suppose -58 = -2*j + 4*w, -5*j = 2*w - w - 112. What is the remainder when 63 is divided by j?
17
Suppose -9*v + 55 = -4*v. What is the remainder when 17 is divided by v?
6
Suppose -4*x + 128 = -12. Suppose 13*r - 12 = 10*r. Suppose -4*a + 32 = -r. What is the remainder when x is divided by a?
8
Suppose 16 = -2*w - 32. Suppose 0 = -2*f + 4*f - 92. Let p = w + f. What is the remainder when p is divided by 8?
6
Let f = -2 + 6. Suppose -f*y + 67 = -141. Let o = 44 - 26. What is the remainder when y is divided by o?
16
Suppose 2*b = 0, 5*r + 5*b = 2*r + 36. Calculate the remainder when 21 is divided by r.
9
Suppose -5*c + 11 = -5*d + 1, 2*d - 45 = -5*c. What is the remainder when 26 is divided by c?
5
Let x(m) = 8*m - 6. What is the remainder when x(6) is divided by 11?
9
Suppose 4*i - 47 - 65 = 0. Let w = -16 - -12. Let k = i + w. What is the remainder when k is divided by 13?
11
Let t(b) = b + 5. Suppose 3*v = y - 7, -y = -3*v + v - 5. Let j be 0 + (-1 - v) + -1. What is the remainder when 13 is divided by t(j)?
3
Suppose k - 4*v = 29, 0*v = 2*k - 4*v - 38. What is the remainder when k is divided by 6/8*(-16)/(-2)?
3
Let z(f) = -f**3 + 5*f**2 + 3*f - 2. Suppose -2*w - 2*q = -7*w + 23, 0 = -2*w + q + 10. Calculate the remainder when z(w) is divided by 9.
7
Let v(i) = i**2 + 3. Suppose 5*a + 3*b = 222, -4*a - 42 = -5*a - 3*b. What is the remainder when a is divided by v(-3)?
9
Let c(b) = b**3 + b. Calculate the remainder when (-1 - 22/(-2)) + -3 is divided by c(1).
1
Suppose 3*q - 85 = -2*q. What is the remainder when 33 is divided by q?
16
Suppose -r - 3 = 0, -16 - 7 = -t + 3*r. Let a(f) be the third derivative of 7*f**5/60 + f**3/6 + 3*f**2. Calculate the remainder when t is divided by a(-1).
6
Suppose 3*k - 5 = 2*k. Suppose 0 = -k*v + v + 80. Let u = -352 - -391. What is the remainder when u is divided by v?
19
Suppose u + 17 = 5*l - u, 5*u = 3*l + 5. Let w = l - 1. What is the remainder when 7 is divided by w?
3
Suppose -19 = -b - 5*a, b - 6*b + 2*a + 41 = 0. Suppose -4*s + s = -5*o + 7, 3*o = 2*s + 4. Calculate the remainder when b is divided by (-20)/o*4/(-8).
4
Suppose -t = -3*y + 3*t + 196, -3*y + 198 = -3*t. What is the remainder when y is divided by 23?
22
Suppose -7 - 33 = -2*k. Calculate the remainder when 75 is divided by k.
15
Suppose 46 - 470 = 4*q. Let b = 182 + q. What is the remainder when b is divided by 26?
24
Suppose 4*g - 3*h - 37 = -0*g, -4*g = -h - 39. Calculate the remainder when 32 is divided by (-4)/g - 261/(-15).
15
Let p(z) = -16*z + 11. Calculate the remainder when p(-5) is divided by 32.
27
Suppose 12 - 2 = 2*n. Suppose -73 = -n*y + 62. Suppose -j - j = -5*t + 73, 3*j + y = 2*t. What is the remainder when 44 is divided by t?
14
Let s = 264 + -139. Calculate the remainder when s is divided by 9.
8
Let k(s) = -14*s - 1. Let y be k(-4). Suppose 5*d + 61 = 2*h, -4*d + y = 5*h - 114. Let a = -20 + h. What is the remainder when a is divided by 5?
3
Let r(j) = -j**2 - j + 5. Let f be r(0). Suppose -f*n = -5*y + 71 - 491, 5*y - 72 = -n. Suppose -n = -5*p - 12. What is the remainder when 54 is divided by p?
12
Suppose -8 = y + 3*h, -6*h + h - 18 = 4*y. What is the remainder when (-10)/5 + (y - -12) is divided by 3?
2
Let t be (3 - 3) + (0 - 60). Let r be t/(-35) + (-4)/(-14). Suppose 0 = r*l - 2 - 42. What is the remainder when 42 is divided by l?
20
Suppose 2*h + 5*h - 84 = 0. What is the remainder when 71 is divided by h?
11
Suppose 4*r - 9 = 15. What is the remainder when 28 is divided by r?
4
Suppose 2*c - c - 4 = 0. Suppose 0 = 3*w - 5*b - 24, -3*w + 2*b + 18 = -b. What is the remainder when c is divided by 1/2 + w/2?
0
Suppose 0 = -3*a + 4 + 5. Suppose 6*j = a*j + 69. Calculate the remainder when j is divided by (-2)/(-1) + -3 - -9.
7
Suppose 2*q = -2*q + 88. Suppose l + 12 - 39 = 0. Let u = -19 + l. Calculate the remainder when q is divided by u.
6
Calculate the remainder when 154/(-28)*(-1 + -11) is divided by 17.
15
Let k(d) = d**3 - 8*d**2 + 5*d + 9. Suppose -11*n + 7*n = -52. Calculate the remainder when k(8) is divided by n.
10
Let w be ((-3 - 13)/4)/1. Let x(d) = -2*d + 6. Calculate the remainder when 27 is divided by x(w).
13
Let c(x) = x**2 - x - 1. Let w = -46 + 78. Calculate the remainder when w is divided by c(4).
10
Let v = -12 + 40. Suppose v = 5*k - 142. Calculate the remainder when k is divided by 12.
10
Let b(u) = 2*u - 4. Suppose -13 = -2*w - l, 9*l = -3*w + 4*l + 23. What is the remainder when w is divided by b(4)?
2
Let d(f) = -f**2 + 9*f. Suppose 2*k - 5*p + 31 = 5*k, 4*k - 5*p - 18 = 0. What is the remainder when 41 is divided by d(k)?
13
Let n = 5 + -1. Suppose -n*x - o - 4*o - 2 = 0, -4*x = 4*o. What is the remainder when x/(-9) + 1412/36 is divided by 10?
9
Let x(l) = 6*l**2 - 4*l - 1. Let p(o) = -12*o - 2. Let h(n) = n - 1. Let f(w) = 3*h(w) - p(w). Calculate the remainder when x(3) is divided by f(1).
13
Let q(h) = -h**2 + 5*h + 3. Let o(u) = 2*u**2 - 2*u + 1. Let p be o(-2). Suppose 0 = -2*a + 11 + p. Calculate the remainder when a is divided by q(4).
5
Let i(g) = -5*g - 35. Suppose 2*p - 6 = 28. What is the remainder when p is divided by i(-8)?
2
Let c = -16 + 52. Let o(v) = 4*v**2 - v - 1. What is the remainder when c is divided by o(2)?
10
Suppose -42 = -5*i - 2*y, i - 2*y - 2*y - 26 = 0. Let p = 88 + -56. Calculate the remainder when p is divided by ((-4)/(-6))/(i/255).
15
Let l(d) = -d**3 + 11*d**2 + 16*d - 5. Calculate the remainder when l(12) is divided by 11.
10
Suppose -2*g - 9 - 107 = 0. Let p(r) = -r**3 - 7*r**2 - 10*r - 9. What is the remainder when g/(-2) + 2/(-2) is divided by p(-6)?
13
Let i(c) be the third derivative of c**6/120 - c**5/20 - c**4/12 + c**3 + 6*c**2. What is the remainder when i(5) is divided by 12?
10
Let m(u) = -4*u + 4. Let g be m(3). Let x be (-6)/g*3*-4. Calculate the remainder when (18/(-15))/(x/240) is divided by 17.
15
Let c be 0 - 0 - (-1 - -1). Let s be (-2)/5 + 274/10. Suppose c = 4*l - l - s. Calculate the remainder when 16 is divided by l.
7
Let i(y) = -y**3 + 3*y**2 + 2*y - 2. Let f be i(2). Let x = f + -2. Calculate the remainder when 7 is divided by x.
3
What is the remainder when 8 is divided by ((-10)/6)/(1/(-3))?
3
Let y(f) = -f + 3. Let u(v) = v + 11. Let g(d) = -d - 10. Let w(s) = -6*g(s) - 5*u(s). What is the remainder when w(5) is divided by y(-3)?
4
Let w = 6 + -3. Let l = 42 + w. Suppose 3*b - 24 = b. What is the remainder when l is divided by b?
9
Suppose o = d - 3*o - 43, 0 = 4*d - 3*o - 146. What is the remainder when d is divided by -3*((-12)/2 + 2)?
11
Let f(k) = 2*k**2 + 2*k + 16. What is the remainder when f(-3) is divided by 11?
6
Suppose -4*f - o - 73 = 0, 3*o = -4*f - f - 100. Let h = 39 + f. Calculate the remainder when h is divided by 78/10 + 1/5.
6
Let m(g) = -g + 32. What is the remainder when m(-26) is divided by 21?
16
Suppose 2*j - 9 = -j. Suppose 2*a + 3*m - 33 = 0, -4*m = 2*a + j*a - 100. What is the remainder when 45 is divided by a?
21
Suppose 6*z - 208 = 2*z. What is the remainder when z is divided by 31?
21
Suppose 2*c - 9 = -c. Let y(q) = 10*q**2 - 13. Let r(k) = -3*k**2 + 4. Let g(o) = -7*r(o) - 2*y(o). What is the remainder when g(c) is divided by 4?
3
Let q = 5 + -3. Let a(p) be the first derivative of 2*p**2 + 8. Calculate the remainder when a(1) is divided by q.
0
Let a(o) = 2*o - 1. Let x be a(6). Let d(k) = k**2 - 9*k + 1. Calculate the remainder when d(x) is divided by 6.
5
Let m be 110/5 + 1/(-1). Let x = -13 + m. Calculate the remainder when x is divided by 3.
2
Suppose 5*x + 41 = 831. Calculate