ided by 6.
2
Let a(k) be the third derivative of k**4/8 - k**3/6 - k**2. Calculate the remainder when a(4) is divided by 4.
3
Let n(r) = r + 13. Suppose 0 = -s - 5*v - 31, -2*v = 8 - 0. Let g be n(s). What is the remainder when -1 + 1 - g - -18 is divided by 9?
7
Let c(h) = -h**2 - 10*h + 16. Calculate the remainder when ((-12)/5)/(9/(-30)) is divided by c(-11).
3
Let y be -1 + 123 + 4/2. Suppose 5*w + y = 4*r, -3*r + 3*w - 8 = -104. Let d = -6 - -19. Calculate the remainder when r is divided by d.
10
Let o = 5 - 6. Let t = o - -16. Let a = 23 - t. Calculate the remainder when 15 is divided by a.
7
Suppose 0*p = 3*p + 5*m - 35, -p - 5*m = -25. Calculate the remainder when 48/3 + -2 - -3 is divided by p.
2
Let h(s) = 5*s - 8. Calculate the remainder when 67 is divided by h(4).
7
Let v = -19 - -4. Let u = 23 + v. What is the remainder when 22 is divided by u?
6
Let o = 43 - 24. Calculate the remainder when o is divided by 10.
9
Let g(v) = -v**2 + 7*v + 7. Let l be 184/(-18) + (-4)/(-18). Let y = -4 - l. What is the remainder when g(5) is divided by y?
5
Let z be (-26)/10 + 4/(-10). What is the remainder when 3/(-6)*1*-2 is divided by (2/6)/((-1)/z)?
0
Suppose 210 = 5*l + 5*i, -4*i + 2*i = l - 37. What is the remainder when 93 is divided by l?
46
Let t(z) = z**3 + z**2. Let u be t(-1). Suppose -139 - 37 = -r. Suppose 3*f + r = 5*x, 2*x - 62 = -u*x + 4*f. Calculate the remainder when x is divided by 13.
11
Suppose -20*c = -19*c - 9. What is the remainder when 35 is divided by c?
8
Suppose -267 + 47 = 5*s. Let f be (s/6)/((-1)/30). Suppose r = 0, -4*j = -2*r - 2*r - f. What is the remainder when j is divided by 19?
17
Let k(j) = -17*j - 2. Calculate the remainder when 57 is divided by k(-1).
12
Let y = -46 - -33. Let h = -67 + 43. Let a = y - h. What is the remainder when 20 is divided by a?
9
Suppose -2*x = -3*b + 23, -3*b + 30 = 2*b + 5*x. Let k(j) = j**2 + 3*j + 3. What is the remainder when b is divided by k(-3)?
1
Let b = 15 + -10. What is the remainder when 12 is divided by b?
2
Let q = 5 + 12. What is the remainder when q is divided by ((-8)/6)/((-4)/30)?
7
Let n(t) = -9*t + 1. Let f(y) = y + 6. Let a be f(-6). Let q = -2 - a. What is the remainder when 55 is divided by n(q)?
17
Suppose 4*f = p - 22, -4*p - 2*f + 3*f = -103. Calculate the remainder when 51 is divided by p.
25
Suppose 4*y = 7*y - 51. What is the remainder when 48 is divided by y?
14
Suppose 5*l = l + 16. Let m(c) = -c + 1. Calculate the remainder when m(-4) is divided by (-12)/(-9) + l/6.
1
Suppose -5*m + m = -4*x - 24, 3*x + 18 = -4*m. Let l(w) = -w**2 - 7*w - 3. Let f = -2 - -7. Calculate the remainder when f is divided by l(x).
2
Let g = 10 + 20. Let d(y) = -y**3 + y**2 - 2*y. Let b be (-1 - -2)*(11 - 13). What is the remainder when g is divided by d(b)?
14
Let j(k) = k. What is the remainder when j(13) is divided by 7?
6
Let t(i) = -i + 22. Let g(w) = -3*w + 67. Let s(o) = -2*g(o) + 7*t(o). What is the remainder when 28 is divided by s(12)?
4
Let m be (-12)/(-2) - 0/3. Let b = -3 + 2. What is the remainder when 8 is divided by (1 - b)*m/4?
2
Suppose 3*u - 134 = -3*t + 28, t - u - 44 = 0. Calculate the remainder when t is divided by 18.
13
Let c(j) = -j**3 + 6*j**2 + 10. What is the remainder when 108 is divided by c(6)?
8
Suppose 0 = -6*b + 2 + 4. Let g be (-5)/(4/(-2) + 1). Suppose -g = -2*s + b. What is the remainder when 8 is divided by s?
2
Let h = -19 + 45. What is the remainder when 49 is divided by h?
23
Let a = 3 + 22. What is the remainder when 174 is divided by a?
24
Let q be (-2)/(-7) + (-8)/28. Let o = -9 - -27. Calculate the remainder when (-35)/1*(q - 1) is divided by o.
17
Suppose a = -a + 6. Suppose a*j - 35 = 19. What is the remainder when j is divided by 11 + -1*(3 + -2)?
8
Let p = 23 - 61. Let j = -11 - p. What is the remainder when j is divided by 15?
12
Suppose -3*j = 4*g + 8, 0 = g + g + 10. Suppose 2*d + j*q = d + 15, 3*q = -4*d - 5. Let m = -1 - d. Calculate the remainder when 7 is divided by m.
3
Suppose 5*a - 2*f - 3*f = 155, 6 = -3*f. What is the remainder when a is divided by 16?
13
Let i be 0 + -4 + 1*3. What is the remainder when 30 is divided by 17 + (i - 2 - -2)?
14
Suppose -100 = -4*x - 4*c, -c - 41 = -4*x + 59. Let u = -12 + -6. Let r = -9 - u. What is the remainder when x is divided by r?
7
Suppose -38 = -5*y + 22. What is the remainder when 7 is divided by y/20*(-1 - -6)?
1
Suppose -2*s - 5*d = 10 - 37, s = 5*d + 21. What is the remainder when s is divided by (-2)/10 - (3 - (-183)/(-15))?
7
Let w = 17 + 13. Let l = -6 - -9. Suppose -l*t = 6 - w. Calculate the remainder when t is divided by 3.
2
Let i(k) = 27*k**2 + 2*k - 1. Suppose 5*n - 5 = -3*x, 4*x - 5 = -5*n + 2*x. What is the remainder when 54 is divided by i(n)?
26
Let g(s) = -10*s**2 + 55*s + 25. Let x(l) = -7*l**2 + 37*l + 17. Let b(h) = 5*g(h) - 7*x(h). Calculate the remainder when b(13) is divided by 12.
9
Suppose -4*o - 8 = -2*q + 8, o - 1 = -2*q. Let t(l) = 3*l**3 + l**2 + l + 1. Calculate the remainder when 59 is divided by t(q).
28
Let q(o) = -2*o**3 - 4*o**2 - 2*o - 1. Let u(j) = j**3 - 4*j - 3. Let c be u(-2). Calculate the remainder when q(c) is divided by 8.
7
Let a = 50 + 23. Calculate the remainder when a is divided by 37.
36
Let u(n) = 6*n**2 + 1 + 7*n**2 + 2*n - 4*n. What is the remainder when ((-4)/5)/(16/(-440)) is divided by u(1)?
10
Let o(k) = 3*k + 1. Suppose -3*b + 50 - 155 = 0. Let i = -24 - b. Calculate the remainder when o(10) is divided by i.
9
Let k = -7 + 12. Let v(x) = 3*x + 6. What is the remainder when 41 is divided by v(k)?
20
Suppose -5*z - 3*i = -304, 2*i + 4 = -0*i. Suppose 4*r - 71 = 4*a - 3, -43 = -3*r + 5*a. Calculate the remainder when z is divided by r.
20
Let g(d) = -d**2 - 20*d - 70. Let c(r) = 2*r**2 - 6*r - 6. What is the remainder when g(-12) is divided by c(5)?
12
Let o(t) = -t**3 - t**2 + 4*t + 3. Let m = 6 + -9. Calculate the remainder when 26 is divided by o(m).
8
Let n(u) = u + 5. Let p be n(-2). Suppose p*s - y = -0*y + 19, -s + 13 = y. Calculate the remainder when s is divided by 5.
3
Suppose -2*b + 0 = 2*z - 8, -4*b = -4*z - 48. Calculate the remainder when 55 is divided by b.
7
Suppose 2*i - 5*d = 79 - 28, -5*i + 85 = -4*d. Calculate the remainder when 51 is divided by i.
12
Suppose 0 = 3*u - 13 - 11. Calculate the remainder when 13 is divided by u.
5
Let j = -53 - -106. What is the remainder when j is divided by (-28)/(-6)*(-3)/(-1)?
11
Suppose 4*m + 20 = 0, b + 5*m + 16 + 7 = 0. Suppose -2*u = 10, 0*a = b*a - 5*u - 49. Let z = a - -22. What is the remainder when z is divided by 12?
10
Suppose 0 = -5*u - 2*c + 4 + 5, 0 = 4*c + 12. Let g be -4*(u/(-6) - -1). Calculate the remainder when -1*(0 - g) + 39 is divided by 13.
11
Let i be 195/(-6) + (-1)/(-2). Let d = -12 - i. What is the remainder when 59 is divided by d?
19
Let j = -1 + 4. Suppose -3*y + 9 = -0. Suppose 25 = 5*d + 3*i, 0 = -5*d + y*d - j*i + 1. Calculate the remainder when d is divided by 3.
2
Let v be 42/2 + -1 + 1. Suppose -v - 13 = -t. Calculate the remainder when t is divided by -2 + (-56)/(-12)*3.
10
What is the remainder when (3 + -91)*3/(-6) is divided by 23?
21
What is the remainder when 50 is divided by ((-33)/22)/(6/(-52))?
11
Calculate the remainder when (596 - 2)/6 - (2 - 2) is divided by 21.
15
Let o(c) = -c**3 - 6*c**2 - 3*c + 4. Let r(n) = -n**3 - 7*n**2 - 4*n + 5. Let k(t) = -6*o(t) + 5*r(t). What is the remainder when 2 is divided by k(-2)?
0
Let y(g) = -g**2 - 11*g + 6. What is the remainder when 46 is divided by y(-10)?
14
Suppose 4*t = -1 + 29. Let w = 5 - 1. Suppose 2*q - 9 = w*n - 5*n, -2*n + 8 = 2*q. Calculate the remainder when t is divided by q.
2
Let w = 20 - 14. Suppose 3*q - w*q = -153. What is the remainder when q is divided by 18?
15
Suppose 85 = 5*x + i - 68, 2*i + 4 = 0. Let y be (-18)/(-4)*(-4 - -6). Let b = y + 7. What is the remainder when x is divided by b?
15
Suppose -4*l + 109 = -n, l + 5*n - 6 = 16. What is the remainder when l is divided by 15?
12
Let s(c) = -6*c + 11*c - 12 - 9*c. Calculate the remainder when s(-10) is divided by 15.
13
Let o = 1 - 1. Suppose o = n + n. Suppose l = 6*l - 15, n = 2*x - 3*l - 89. What is the remainder when x is divided by 17?
15
Let m = -28 - -44. Calculate the remainder when ((-63)/2)/(2/