ate the remainder when q is divided by 4.
3
Suppose 5*g - 64 = -3*c, g + 2*g = -c + 28. Let b(r) be the first derivative of -7*r**2/2 - 19*r - 2. Calculate the remainder when b(-8) is divided by c.
11
Suppose 0 = -5*a + 39 + 6. Let k(v) = v. Let r be k(4). Suppose -3*w + 2*w + 33 = -4*c, 42 = 2*w + r*c. Calculate the remainder when w is divided by a.
7
Let c(w) = w**2 - 9*w - 16. What is the remainder when 79 is divided by c(12)?
19
Let k(i) = -i + 4. Calculate the remainder when 29 is divided by k(-6).
9
Let u(p) = 3*p - 10. Suppose -5*t = 5*m - 15, -5*m + 6*m = 2*t + 3. Suppose -2*c = -t*c - 16. What is the remainder when 27 is divided by u(c)?
13
Let u(o) = -3*o + 3 + 8*o - 2*o + o**2 - o**3. Calculate the remainder when 59 is divided by u(-3).
29
Let q be (8/(-10))/(5/(-25)). Suppose q = x + x. Suppose x*h + 1 = 35. What is the remainder when h is divided by 6?
5
Let s = -59 - -90. What is the remainder when s is divided by 11?
9
Suppose 3*n - 32 = n. Calculate the remainder when (-2)/8 - 905/(-20) is divided by n.
13
Let i(f) = 2*f - 6. Let j be i(4). Suppose q = 5*q - 3*o - 16, 0 = -j*o - 8. Calculate the remainder when 2 is divided by q.
0
Suppose -3*m + 0*m = -9. Suppose -5*h = -5*o + 30, -2*h + 38 = 5*o - m*h. Let x = o - 0. Calculate the remainder when 15 is divided by x.
7
Let v(q) = q**3 + 11*q**2 + 2. Let r be v(-11). What is the remainder when (6 + -7)/(r/(-12)) is divided by 2?
0
Let f(h) = h**3 - 4*h**2 + h - 2. Let g be f(3). Let q be ((-4)/8)/((-1)/(-4)). What is the remainder when 16 is divided by ((-36)/g)/((-1)/q)?
7
Suppose -4*c = -3*c - 4, 2*c = -z + 29. What is the remainder when 43 - (-1)/(-2)*4 is divided by z?
20
Let d(x) = x**2 + x + 20. Let b be d(0). Suppose -b = -3*k + 49. What is the remainder when k is divided by 6?
5
Let p = 5 + -2. Suppose p*s - 4*s = -8. Calculate the remainder when (6/s)/((-1)/(-4)) is divided by 2.
1
Let s(m) = -7 - 4*m**2 + 0*m + m - 2*m + m**3. Let l be 2*15/(-6)*-1. Calculate the remainder when 24 is divided by s(l).
11
Suppose 0 = -0*o - 4*o - 44. Let b = o - -23. Let h(y) = 18*y - 2. Calculate the remainder when h(2) is divided by b.
10
Let u(g) = g**2 - g + 17. Let r be u(0). Let c = 31 - r. Calculate the remainder when 26 is divided by c.
12
Let r = 127 + -84. What is the remainder when r is divided by 17?
9
Suppose 3*w + 33 = 3*x, -4*w = 2*x + 2 - 54. What is the remainder when 61 is divided by x?
13
Let d = -41 - -75. Suppose -2*c = -7*c + 4*g + 80, 2*g = -10. What is the remainder when d is divided by c?
10
Let l = 43 - 32. Calculate the remainder when 43 is divided by l.
10
Suppose 6*j + 27 = 135. Calculate the remainder when 141 is divided by j.
15
Let x(v) = -v**2 - 6*v + 5. Let n(h) = -h**2 - 7*h + 5. Let w(q) = 3*n(q) - 4*x(q). What is the remainder when w(4) is divided by 13?
10
Let m(p) = -p**3 + 5*p**2 + p - 13. What is the remainder when 16 is divided by m(3)?
0
Let h(p) = 8*p - 3. Suppose 0 = 3*y - 16 + 1. Calculate the remainder when h(y) is divided by 13.
11
What is the remainder when 35 is divided by (-42)/(-5)*(-10)/(-4)?
14
Suppose -3*v + 3 = v + 5*h, 3*v + 2*h - 11 = 0. What is the remainder when 25 is divided by v?
4
Suppose 2*z - 25 - 1 = 0. Let n = -8 - -13. What is the remainder when z is divided by n?
3
Let l be ((-2)/8)/(2/(-8)). Let m be (-2)/(0 + l) - -4. Suppose 2*o + m = 20. Calculate the remainder when 16 is divided by o.
7
Suppose o + 5*m = 11, 6*m - 15 = -2*o + 3*m. Calculate the remainder when 16 is divided by o.
4
Let q(t) = t**3 + 5*t**2 + 4*t - 1. Let z be ((-54)/(-45))/(4/(-10)). Calculate the remainder when 16 is divided by q(z).
1
Suppose 0 = -5*t + 25, 118 = 3*a - 0*t + 2*t. Calculate the remainder when 104 is divided by a.
32
Suppose -2*z = -4*m - 162, -z - 237 = -4*z + 4*m. Suppose 5*t = -5*x + z, -4*x + 2*t = -2*t - 36. Let k = 8 + 14. What is the remainder when k is divided by x?
10
Suppose 129 + 81 = 6*q. Let d = q + -20. Calculate the remainder when 44 is divided by d.
14
Suppose 0 = h + 4 - 16. What is the remainder when 46 is divided by h?
10
Let i = 1 + 14. Calculate the remainder when 58 is divided by i.
13
Let j = 1 - -4. Suppose 0 = j*h - h - 52. Calculate the remainder when h is divided by 3.
1
Suppose 2*u = 5*u - 84. Calculate the remainder when 81 is divided by u.
25
Let n = 19 + -40. Let g(z) = -z**3 - 4*z**2 + 4*z - 4. Let l be g(-5). Calculate the remainder when n*3/(-3)*l is divided by 6.
3
Let n = 3 - 0. Suppose j + a - 6 = 0, j + n*a - 2 = 6. Suppose 7*b = -9 + 107. Calculate the remainder when b is divided by j.
4
What is the remainder when 80 is divided by 31 + -1 - (6 + -3)?
26
Suppose 3*w + 2*h - 15 = 0, -2*h + 12 = -3*w + 39. Suppose -w*r + 2*r + 75 = 0. Let g = 94 + -66. What is the remainder when g is divided by r?
13
Let c = 97 - 69. Calculate the remainder when 55 is divided by c.
27
Suppose 0*s = -o + s + 5, 0 = 2*o - 5*s - 16. Suppose -3*m = 4*c - 63, 5*c + 2*m - 40 = 6*m. What is the remainder when o*(19/3 + 1) is divided by c?
10
What is the remainder when 77 is divided by -3*5/60*(0 - 68)?
9
Let b(v) = 3*v**2 + v + 1. Suppose 190 = 10*h - 20. Calculate the remainder when b(5) is divided by h.
18
What is the remainder when (1/(-2))/((-3)/516) is divided by 22?
20
Let v = -23 + 35. Calculate the remainder when 70 is divided by v.
10
Let c = 1 + 1. Calculate the remainder when 7 is divided by c.
1
Let g = -34 - -92. Let i = 20 + 0. What is the remainder when g is divided by i?
18
Let i(n) = n**2 - 2*n + 2. Let l be i(-5). Suppose 5*u = 2*q - 63, 0*u + 2*q = -2*u - 14. Let j = u + l. Calculate the remainder when j is divided by 9.
8
Suppose -3*h + 122 = 4*l, -2*l - h = -13 - 49. What is the remainder when l is divided by 9?
5
Suppose -1 = h - 3. Suppose -4*l - 5*w = -9*l + 15, 4 = h*w. What is the remainder when l is divided by 2?
1
Let i = 91 + -81. What is the remainder when i is divided by 3?
1
Let k(l) = l**3 - 6*l**2 + 9*l - 17. What is the remainder when k(6) is divided by 10?
7
Let k be (-9)/(-12)*(-1 + -3). Let w = k + 7. Suppose 4*d = 4*u - 228, w*u - d = -3*d + 198. Calculate the remainder when u is divided by 18.
16
Let h = 16 + -12. Suppose 0 = h*p + 12, -c - 3*c - 4*p = -28. What is the remainder when 18 is divided by c?
8
Let c = 49 - 2. What is the remainder when c is divided by 17?
13
Let i = 9 - 3. Suppose 23 = s + 5*t, 23 + 12 = -5*s + 5*t. Calculate the remainder when (-3 - s)/((-2)/32) is divided by i.
4
Let g(z) = 43*z - 4. Suppose 6*j = -3*j + 252. Calculate the remainder when g(2) is divided by j.
26
Let g(f) = f - 50. Let a(b) = -10. Let u(r) = -11*a(r) + 2*g(r). What is the remainder when u(14) is divided by 10?
8
Suppose l = -l + 122. Calculate the remainder when l is divided by 16.
13
Suppose 2*s + 2 = 0, 102 = 4*t + 4*s - 98. Suppose -o - 10 = -i, 0*o - 4*o - 18 = -2*i. What is the remainder when t is divided by i?
7
Let s(y) = -2*y**3 - 3*y - 3. Let m(d) = 2*d**2 - 26*d - 18. Calculate the remainder when s(-2) is divided by m(14).
9
Let x(r) = 6*r - 5. Let j(n) = 5*n**2 + n - 2. Let c be j(2). Suppose 0 = -0*m + 5*m - c. What is the remainder when 56 is divided by x(m)?
18
Suppose -5*c + 62 = 3*d, -3*c - 63 = -2*d - 2*c. Calculate the remainder when d is divided by 6.
5
Suppose -4*f = f - 215. What is the remainder when f is divided by 11?
10
Let v = 4 + 4. Let s(h) = -h. Let g(o) = 7*o + 1. Let x(w) = -2*g(w) - 6*s(w). Calculate the remainder when x(-2) is divided by v.
6
Suppose 4*t + 5*v = 44, 0*v = 4*t - 2*v - 44. Calculate the remainder when 41 is divided by t.
8
Suppose -138 + 208 = 5*s. What is the remainder when 79 is divided by s?
9
Let v(u) = 1 + 0*u - u + 6*u**2 + 4*u. Let o be v(-4). Suppose -n = 3*y - 49 + 2, -o = -5*y - 3*n. Calculate the remainder when y is divided by 8.
6
Suppose 58 = 3*i - 2*w + w, 2*i = 5*w + 30. Let t = 230 - 191. What is the remainder when t is divided by i?
19
Let b be 18 - (3 - 7)/(-2). Suppose 5*j + 70 = 5*d, -3*d + 5*j + b = -26. Calculate the remainder when 54 is divided by d.
12
Suppose 0 = -n - 19 + 56. What is the remainder when 109 is divided by n?
35
Suppose 13 - 59 = -2*o. Suppose -3*f + o = 5. Calculate the remainder when f is divided by 4.
2
Let o(b) be the second derivative of b**5/20 - 5*b**4/6 + 3*b**2/2 - 3*b. Suppose 2*t = -3