13.
12
Let l(s) = s**3 - 10*s**2 - 6*s + 12. Calculate the remainder when l(11) is divided by 14.
11
Let i(y) = -y - 3. Let a be i(-3). Suppose 3*u = -a*u + 3. Let t(n) = -2*n + 22. What is the remainder when t(10) is divided by u?
0
Suppose -5*y = -5*b - 280, 3*b = b + 10. Let o(m) = 3*m + 3. What is the remainder when y is divided by o(6)?
19
Let f(l) = l**3 - 9*l**2 + 8*l + 10. What is the remainder when 17 is divided by f(8)?
7
What is the remainder when 17 is divided by 3/((-3)/(-5)) + 1?
5
Suppose -3*b + 4*w = 28, w + 7 = -2*b + b. What is the remainder when 14 is divided by -3 + 3 - (4 + b)?
2
Let v(b) = 5*b**2 - b. Calculate the remainder when (1 + 0)/((-22)/(-1870)) is divided by v(-2).
19
Let b = 28 + 17. Calculate the remainder when b is divided by 12.
9
Suppose 3*p - 4 = 5*h - 31, 2*p = -h - 5. Let c(n) = n**3 + n**2 + n + 43. Calculate the remainder when c(0) is divided by (-1 + 2)/(h/33).
10
Let o = 8 + 32. Let s be (-31)/(-3) + 2/3. Let i = s - -3. What is the remainder when o is divided by i?
12
Let t(x) = -5*x - 5. What is the remainder when 39 is divided by t(-5)?
19
Suppose 3*c = 4*j - 42, 2*c - 30 = -4*j - c. Calculate the remainder when j is divided by 4.
1
Let p = -17 - -35. Suppose 2*f = -4*y, -2*f + 0*y + 4*y = 40. Let q = f + 20. What is the remainder when p is divided by q?
8
Let f be (4 + 0)/(6/(-3)). Let z be (-3)/(-2)*f/3. Let n(b) = 14*b**2 + b. What is the remainder when 37 is divided by n(z)?
11
Suppose -62 = -a + 5*k, -3*a + 4*k + k + 186 = 0. What is the remainder when a is divided by 16?
14
Let b(u) = 2*u**2 - 2*u - 38. Let j(x) = -5*x**2 + 5*x + 76. Let r(z) = -7*b(z) - 3*j(z). Calculate the remainder when r(0) is divided by 13.
12
Let l(i) = -i**2 + 3*i + 3. Let x(w) = w**3 + 3*w**2 - 6*w - 5. Let u be x(-4). Calculate the remainder when (8 - 1) + -1 + -3 is divided by l(u).
0
Let w(g) = -g + 12 - 10 + 4*g. What is the remainder when 21 is divided by w(3)?
10
Let a be 0 + -3 + 6 + 2. Suppose a*l - 2*r = 0, -2*l - 3 = -l - r. Suppose 29 = l*w - 29. Calculate the remainder when w is divided by 15.
14
Let q = -95 - -101. What is the remainder when 27 is divided by q?
3
Suppose 5*l + 5*v - 37 = 3, -3*v = 0. What is the remainder when l is divided by 3?
2
Let u = 2 + 4. Suppose u*k + 90 = 5*x + k, -41 = -2*x - 3*k. What is the remainder when x is divided by 7?
5
Let g be 0/(-3) + (7 - 4). Suppose g + 3 = a. What is the remainder when a is divided by 4?
2
Suppose -5*o = -705 - 210. What is the remainder when o is divided by 47?
42
Suppose -4*m + m - 276 = 0. Let h = 8 - 20. What is the remainder when (0 - -3)*m/h is divided by 12?
11
Let b(x) = 9*x - 4. What is the remainder when b(7) is divided by 15?
14
What is the remainder when 22 is divided by 6/1*(-4)/(-3)?
6
Let r(n) = 12*n**2 + n. Let a(t) = -3*t + 23. Calculate the remainder when a(0) is divided by r(1).
10
Let v(a) = 2*a**2 - 3*a - 9. Calculate the remainder when v(-4) is divided by 18.
17
Suppose -36 = -0*n - 3*n. What is the remainder when 46 is divided by n?
10
Let m = -25 + 37. Calculate the remainder when 17 is divided by m.
5
Let s(v) = -v**3 + 3*v**2 + 6*v - 5. Let n be s(4). Suppose 5*d + 3*q = 262, -3*d + 0*d - n*q + 162 = 0. Calculate the remainder when d is divided by 13.
11
Let v = -7 - -9. Suppose v*x - 4*g = 30, -3*g + 6*g = 4*x - 45. Calculate the remainder when 16 is divided by x.
7
Suppose 4*t = -4*j - 0*j + 24, 0 = j - t - 8. Let g(m) = m**2 + 15*m + 13. Let q be g(-14). What is the remainder when j is divided by 5 - q/(4/(-4))?
3
Let y = 82 + -33. Let m(x) = x**2 - x. Let r be m(4). Suppose -2*d = -r - 14. What is the remainder when y is divided by d?
10
Suppose 0 = -2*w - 79 + 3. What is the remainder when w/(-1)*(-1)/(-2) is divided by 7?
5
Let l be 26/7 + 16/56. Suppose l*s - 2*q = -0*q + 122, 5*s + 2*q - 157 = 0. Calculate the remainder when 60 is divided by s.
29
Suppose 0 = -5*d - 5 + 20. Suppose -2*z = z + p - 16, 5*z - 36 = d*p. Calculate the remainder when 11 is divided by z.
5
Suppose -10 = -5*f + 60. Suppose 0 = -3*g + 40 + f. What is the remainder when 69 is divided by g?
15
What is the remainder when 18 is divided by 94/14 - (-4)/14?
4
Let u(x) = 2*x**2 - 10*x - 9. Let o = -8 - -15. What is the remainder when u(o) is divided by -2 + (13 - 1) - 0?
9
Let s(a) = a - 6. Let n be s(4). Let g(i) = -i. What is the remainder when g(n) is divided by -4*2*3/(-12)?
0
Let v be (4/(-6))/((-6)/18). Let r be 1 + v + -2 - 0. Let b = r + 2. Calculate the remainder when 6 is divided by b.
0
Let z = 12 + -5. Suppose z*y = 2*y + 120. Suppose -3*l + 52 = 4*f, -4*l - 3 = 3*f - 42. What is the remainder when y is divided by f?
11
Let i = -19 + 47. Let h = -3 + -4. Let q(o) = -o + 3. What is the remainder when i is divided by q(h)?
8
Suppose 0 = -4*r + 3*w, 4*w - 3*w - 4 = 0. Let m = -24 - -24. Suppose -2*q - q + 27 = m. What is the remainder when q is divided by r?
0
Let r(p) = -3*p**2 - 1. Let x be r(-3). Let o = -14 - -31. What is the remainder when (14/(-8))/(1/x) is divided by o?
15
Let w(u) = u - 1. Suppose 0 = 3*s + 4*o - 1, 5*s - 3*o + 1 = 22. Let y be w(s). Let f = y + 1. What is the remainder when 4 is divided by f?
1
Suppose -g = 3*g - 68. Let y(l) = 5*l**2 + 4*l + 2. What is the remainder when y(-4) is divided by g?
15
Suppose 0 = 2*h + 3*l - 26, h - 5*l - 15 = -2. What is the remainder when 76 is divided by h?
11
Let v(t) = 4*t + 3. Suppose 4*u = 2*r + 36, 0 = -0*u + u + r - 9. What is the remainder when v(3) is divided by u?
6
Suppose 2*i = 4*i. Let u = i - -3. What is the remainder when u is divided by 1?
0
What is the remainder when 155 is divided by (2/5 + -2)/((-36)/1170)?
51
Let n(x) = 11*x**2 - x. Let p = 207 + -186. Calculate the remainder when p is divided by n(-1).
9
Suppose 2*y - 52 = y. Calculate the remainder when y is divided by 11.
8
Let p = -25 - -102. What is the remainder when p is divided by 13?
12
Let z = 7 + -4. Suppose z*l + 3*g = 33, 7*g - 3*g + 46 = 2*l. What is the remainder when l is divided by 4?
3
Let m = 4 - -2. Let w = m + -12. Calculate the remainder when 1*6*(-4)/w is divided by 3.
1
Suppose 6 + 4 = 2*f. Suppose o + 22 = y + 3*o, 4*y - 73 = -f*o. Let v = 37 - y. Calculate the remainder when v is divided by 9.
7
Let u(c) = 2*c + 8*c**2 - 22*c**2 + 15*c**2. Calculate the remainder when 8 is divided by u(-3).
2
Suppose -24 = -5*n + 36. Calculate the remainder when 39 is divided by n.
3
Let q(c) = -c**3 - 6*c**2 - 6*c + 4. What is the remainder when 5*(-3)/(-9)*3*7 is divided by q(-5)?
8
Let x(r) = -36*r - 2. Let p be x(-1). Suppose 5*o = 104 - p. Suppose 0 = 3*t - q - 127, 3*t + 5*q + 0*q = 103. What is the remainder when t is divided by o?
13
Suppose -r - 17 = -x + 6*x, 22 = 2*r - 4*x. Calculate the remainder when 17 is divided by (-1 - -6) + (4 - r).
5
Let s(g) = -11*g**3 + g**2 + 2*g + 1. Let a(p) = 6*p + 6. Calculate the remainder when a(6) is divided by s(-1).
9
Suppose -2*g + 121 = -163. Calculate the remainder when g is divided by 48.
46
Calculate the remainder when 43 is divided by (6 + -1 + -8)*11/(-3).
10
Let s be 1/1*1 - 1. Suppose s*t - 5*t = -15. Let l(q) = 16*q + 4. Calculate the remainder when l(t) is divided by 18.
16
Let i(u) = -30*u + 16. What is the remainder when i(-4) is divided by 47?
42
Suppose -4*h - 5*o = -0*o - 48, 0 = -2*h - 5*o + 34. Suppose -2*z = -h*z - 155. Let x = -9 - z. What is the remainder when 42 is divided by x?
20
Suppose -8 = -4*b + 100. Calculate the remainder when 80 is divided by b.
26
Suppose -8 = 2*n - 90. Let y = n + -13. What is the remainder when y is divided by -1 + 6/(-12)*-22?
8
Let t(a) = -a**3 + 3*a + 3. Calculate the remainder when 9 is divided by t(-2).
4
Suppose 2*g = -i - g, -i - g + 2 = 0. Suppose -i*k = -4*q + k + 32, -5*q + 40 = -3*k. Calculate the remainder when q is divided by 3.
2
Let f be 6/9*9/6. Let i = f - 0. Calculate the remainder when i is divided by (1 + 2 - 1) + -1.
0
Let q = 65 - 59. What is the remainder when q is divided by 5?
1
Let l = 109 + -101. Calculate the remainder when 30 is divided by l.
6
Let o = -131 - -158. Suppose t + t = 210. Calculate the remainder when t is divided by o.
24
Let c = 20 - 0. Suppose 3*m = 4*o + 157, o - 69 = -3*m + 113. Calculate the remainder when m is divided by c.
19
Let p(d) be the first der