f(z) = z**2 - 8*z - 16. Let s(v) = -v**3 - 13*v**2 + 8*v - 34. What is the remainder when s(-14) is divided by f(11)?
16
Suppose 5*g = 2*c - 144, -5*c + 2*g + 320 = -c. What is the remainder when c is divided by 21?
19
Let l(p) = 2*p**3 + 2*p. Let t be l(2). Suppose 0 = -5*u + t + 5. Suppose 4*x + 23 = 2*m + 7, x = 3*m - 24. What is the remainder when m is divided by u?
3
Suppose -3*j + 154 = -u, -3*j + 0*u = 2*u - 169. Calculate the remainder when j is divided by 27.
26
Suppose 2*b - 214 = 74. What is the remainder when b/20 + 1/(-5) is divided by 4?
3
Suppose 20 = 3*j - 28. What is the remainder when 30 is divided by j?
14
Suppose -2*x = -5*s - 2, 4 = 2*x - 4*s - 0. Let u(n) = -3*n**2 - 2*n. Let f be u(-2). Calculate the remainder when (138/(-9))/(f/12) is divided by x.
5
Let p(b) = -5*b - 4. Calculate the remainder when p(-11) is divided by 27.
24
Suppose -2*b = -2*f - 2*f - 16, 5*b + 5*f - 40 = 0. Suppose -k - 2 = 2*l, -4*l + 4 = -2*k - b. Calculate the remainder when -3*(-2)/(-9)*-3 is divided by l.
0
Suppose a = -3*a. Let t = -9 - a. Calculate the remainder when (-2)/t*-6*-21 is divided by 15.
13
Let y = -6 - -11. What is the remainder when y/20 - (-195)/4 is divided by 25?
24
Suppose -t + 14 = t. What is the remainder when 19 is divided by t?
5
Let q be -12 + ((-12)/3 - -2). Let n = 27 + q. Let i(s) = -s + 37. Calculate the remainder when i(0) is divided by n.
11
Suppose -2*j - 56 = 2*j + 4*s, 0 = -j + s - 18. Let c be j/10*(-540)/8. What is the remainder when 53 is divided by 1/2 + c/8?
11
Let t = 55 - 5. Suppose -5*c + t + 20 = 0. What is the remainder when 1*-18*(-6)/4 is divided by c?
13
Let a be 3*1 + (-7 - -2). Let u = -1 - a. Calculate the remainder when (-74)/(4/(-2)) + u is divided by 20.
18
Suppose -3*r + 3 + 0 = 0. Let v = 6 - r. What is the remainder when 8 is divided by v?
3
Suppose 0 = 2*o - o - 10. What is the remainder when (7/(-1))/((-1)/4) is divided by o?
8
Let p = -95 - -137. What is the remainder when p is divided by 15?
12
Let n = -18 + 23. Let g = 2 - -14. Calculate the remainder when g is divided by n.
1
Let c(x) = 2*x + 7. Calculate the remainder when 33 is divided by c(5).
16
Calculate the remainder when (-3)/(0 - (-4)/(-28)) is divided by 11.
10
Let x(w) = w**3 + 4*w**2 - w + 4. Let k be x(-4). Let u = k - -5. Calculate the remainder when 49 is divided by u.
10
Let m(a) = -10. Let r(f) = -f. Let i(h) = m(h) - 2*r(h). What is the remainder when i(10) is divided by 6?
4
Calculate the remainder when 5 is divided by 3 - ((-10)/(-5))/(-2).
1
Let c(z) = -z**3 + 17*z**2 - 16*z + 12. Let h be c(16). Suppose -h = 3*f - 5*f. What is the remainder when 28 is divided by f?
4
Suppose -5*r - 12 = -m, 4*m - 2*r + 0*r = 102. Calculate the remainder when m is divided by 8.
3
Let s(u) = -6*u - 2. Let k(j) = -7*j - 1. Let r(t) = 3*k(t) - 2*s(t). Let c be 2/3*-3 + 1. What is the remainder when 29 is divided by r(c)?
9
Let g = 6 + -11. Let o = -7 - g. What is the remainder when 5 is divided by (o/6)/((-3)/27)?
2
Let n = -30 + 50. What is the remainder when 58 is divided by n?
18
Suppose 0*s = 3*s - 132. Suppose -3*b + 3*t - 20 = -t, -s = 5*b - 4*t. Calculate the remainder when (62/(-8))/(3/b) is divided by 11.
9
Let s(h) be the second derivative of h**5/20 + h**4/3 - h**3/6 + h**2/2 - 2*h. Calculate the remainder when 21 is divided by s(-2).
10
Let y = 57 - 13. Let o(s) = 2*s**3 + 10*s**2 + 2*s - 9. Calculate the remainder when y is divided by o(-4).
14
Let n(z) = 2*z**2 - 9*z - 37. What is the remainder when n(-7) is divided by 25?
24
Let z = 47 - 26. Suppose -4*t = -27 - 17. What is the remainder when z is divided by t?
10
Suppose 0 = 4*y - 20 - 0. Suppose u - y*o = -u - 18, 4 = o. Calculate the remainder when u is divided by 1.
0
Let s(w) = w**2 + 10. Let p = -8 + 8. What is the remainder when s(p) is divided by 3/9 - 34/(-6)?
4
Let z = -20 - -35. Suppose -z = -2*y + 21. Let n(f) = 34*f**2. Calculate the remainder when n(1) is divided by y.
16
Let u = -35 - -53. Let r = 7 - 9. Calculate the remainder when (-1 - -35) + 1 + r is divided by u.
15
Suppose 3*b - 3*m - 33 = 0, 5*b + m + 3*m = 100. What is the remainder when b is divided by 9?
7
Let c = -3 + 17. Let a(n) be the first derivative of -n**3/3 - 3*n**2 - 3*n - 1. What is the remainder when c is divided by a(-4)?
4
Let y(z) = 8*z**3 - z + 1. Suppose -2*v - m = -2*m - 1, m = -2*v + 3. What is the remainder when y(v) is divided by 1 + 4 - (1 - -1)?
2
Let x be -7 + 7 + 1 + 26. Suppose -x = -4*b + 17. Calculate the remainder when 41 is divided by b.
8
Suppose 2*i + 12 = 6*i. Suppose 0 = 5*v + 2 + 28. Calculate the remainder when -2*(-3)/v + 9 is divided by i.
2
Let a(j) = 4*j + 11. Calculate the remainder when a(3) is divided by 13.
10
Suppose 0 = -2*q - 5 + 21. What is the remainder when 31 is divided by q?
7
Let s(w) = w**2 - 4*w + 3. Let f = 9 - 7. Suppose 42 = 2*u + 4*g, 3*g - 12 = -f*u + 26. Calculate the remainder when s(7) is divided by u.
11
Let m(s) = -3*s + 28. What is the remainder when 76 is divided by m(7)?
6
Let d = 124 + -83. Calculate the remainder when d is divided by 14.
13
Let x(i) = -5*i + 16. Calculate the remainder when 79 is divided by x(0).
15
Let u(h) = h**2 + 6*h + 7. Let a(b) = b**3 + b**2 + 6*b**2 + 3 - 3*b**2. Calculate the remainder when a(-4) is divided by u(-5).
1
Let p = 19 + -15. What is the remainder when 14 is divided by p?
2
Suppose 0 = -4*a - 20, -4*s - a + 0*a = -35. Calculate the remainder when 18 is divided by s.
8
Let l(j) = j**2 + 3*j + 4. Let x = 17 + -9. What is the remainder when l(-5) is divided by x?
6
Let p(h) = 58*h + 1. Let q be (-15)/15 - (-1 - 1). What is the remainder when p(q) is divided by -4*4/((-32)/30)?
14
Let i(t) = t**3 + t**2 + 2*t + 4. Let z be i(5). Calculate the remainder when 47 is divided by z/14 + (-6)/(-21).
11
Let c = -9 - -13. Calculate the remainder when c is divided by 0/(-2) + (-2)/(-1).
0
Let w(z) = -z**3 - z**2 - 2*z - 3. What is the remainder when 6 is divided by w(-2)?
1
Suppose k - 2*k + 10 = 0. What is the remainder when 39 is divided by k?
9
What is the remainder when 67 is divided by (0 - -20)/((-8)/(-4))?
7
Let x be (3/(-2))/((-2)/24). Let a = x - 14. Calculate the remainder when 14 is divided by a.
2
Suppose -4*j - 5*s = -54 - 27, 5*j - 75 = -s. What is the remainder when j is divided by 8?
6
Let d = 61 - -7. Suppose 3*z = 4*s - 53, 3*s = -0*s - z + 43. Calculate the remainder when d is divided by s.
12
Let w(s) = 8*s + 3. Calculate the remainder when 16 is divided by w(1).
5
Calculate the remainder when (187/(-2) - -1)*(-6)/5 is divided by 56.
55
Let t(h) = -1. Let i(c) = c**2 + c + 6. Let n(l) = i(l) + 2*t(l). Let w = 3 - -10. What is the remainder when n(4) is divided by w?
11
Let m = 5 + 0. Suppose -h = -m*f + 4*f - 4, 0 = 3*f. What is the remainder when h is divided by 2?
0
Let n(y) = 2*y + 5 + y - 10. Suppose 14 = 3*t - 25. Calculate the remainder when t is divided by n(4).
6
Suppose -r + 19 = -31. Suppose 2*a - y - 42 + 8 = 0, 0 = 2*a + 3*y - r. What is the remainder when 55 is divided by a?
17
Let q = 8 - 7. Suppose -4*s + 6*y - 2*y = -24, s - 26 = -3*y. Calculate the remainder when s is divided by ((-15)/25)/(q/(-10)).
5
Suppose 4*j - 38 = 70. Suppose 3*y = -i + 35, 4*y - 3*i + 11 = 36. Calculate the remainder when j is divided by y.
7
Suppose 0 = -n - 0*n + 4. Let r(g) = -3*g - 9. Calculate the remainder when r(-5) is divided by n.
2
Suppose 2*l = 31 + 129. Calculate the remainder when l is divided by 41.
39
Let u = -12 - -15. Calculate the remainder when 45 is divided by u*(-1 + 38/6).
13
Let f(i) = -i + 13. What is the remainder when f(8) is divided by 2?
1
What is the remainder when 82 is divided by 24 + 1 - ((-20)/(-5) - 1)?
16
Suppose 3*n - 2*w = -1 + 14, -n + 21 = -4*w. Let r be (0 + 13)/(n - 0). Suppose -49 - r = -2*j. What is the remainder when j is divided by 16?
15
Let q(c) = 2*c. Let y(j) be the second derivative of 2*j**3/3 + j**2/2 - j. Let w(g) = 7*q(g) - 3*y(g). Calculate the remainder when w(8) is divided by 7.
6
Let k = -13 - -23. Let h = 46 + -19. What is the remainder when h is divided by k?
7
Suppose 8*p + p = 1143. Calculate the remainder when p is divided by 43.
41
Suppose 2*h - g = 15, 2*g + 9 = 2*h + 3*g. Suppose 0 = -h*o + o + 5. Suppose 0 = -3*y - y + 8. 