3*r = 4*t + 23, t + 3*t + 2*r = 2. Let v(h) = h**3 - 13*h**2 + 13*h + 1. What is the remainder when v(12) is divided by (42/9)/(t/(-3))?
6
Let i = 400 - 277. Calculate the remainder when i is divided by 21.
18
Let k(a) = 5*a + 1. Let r(g) = g - 12. Let j be r(6). Let c be 10/4 - j/12. What is the remainder when k(c) is divided by 6?
4
Let d = -35 - -45. What is the remainder when 38 is divided by d?
8
Suppose -5*c = 45 + 15. Let i = c - -18. What is the remainder when i is divided by 2?
0
Let u = 6 + -1. Let o be u/(-1)*(1 - 2). Let n = o + 4. What is the remainder when 16 is divided by n?
7
Suppose 7*x - 316 = 4*q + 3*x, -67 = q - 4*x. Let w = 132 + q. Calculate the remainder when w is divided by (1/2)/((-1)/(-34)).
15
Let k(x) be the second derivative of -x**4/12 - 5*x**3/3 - 7*x**2/2 + 4*x. Suppose t = 1 + 8. Calculate the remainder when k(-6) is divided by t.
8
Let g = 7 + -10. What is the remainder when 73 is divided by (-2 - (4 + g)) + 22?
16
Let l = -68 + 71. What is the remainder when 17 is divided by l?
2
Let b be (3 + -1)*(-1)/2. Let z be b + 0 + (1 - 0). Calculate the remainder when 41 + (z + -1 - -3) is divided by 15.
13
Suppose 17 - 143 = -9*m. What is the remainder when 40 is divided by m?
12
Let i be (4/3)/(2/6). Let v be (i/(-6))/((-2)/(-6)). What is the remainder when 4 is divided by (-1)/((-7)/3 - v)?
1
Let z(w) = 2 + 4*w**2 - 5 + 2. What is the remainder when z(-4) is divided by 16?
15
Let h = -85 - -136. What is the remainder when h is divided by 13?
12
Let r = 15 - 7. Let h = 17 + -2. Calculate the remainder when h is divided by r.
7
Let o(z) = 7*z**3 - z**2 - 4*z + 3. Let c be (-4)/(-10) + (-24)/(-15). Calculate the remainder when o(c) is divided by 17.
13
Let k(q) = -3*q**3 - 4*q**2 + 2. What is the remainder when k(-3) is divided by 16?
15
Suppose 0 = 2*h + 3*g - 4*g - 52, -3*h - g = -78. Calculate the remainder when 103 is divided by h.
25
Suppose -2*z = -94 + 6. Calculate the remainder when 173 is divided by z.
41
Let c(u) = -5*u - 3. Calculate the remainder when c(-7) is divided by 9.
5
Let w be ((-16)/2)/((-4)/24). Let a = w - 28. What is the remainder when a is divided by 11?
9
Suppose 5*r = 6*z - 3*z - 34, 0 = -z - r + 14. What is the remainder when 2 + (-114)/(-3) - 2 is divided by z?
12
Let f be 1/(2 - 36/20). Let u = 313 - 188. Suppose -f*h + 0*h + u = 0. Calculate the remainder when h is divided by 9.
7
Suppose -5*t - t + 258 = 0. What is the remainder when t is divided by (-3)/((-1 + 0)/5)?
13
Suppose 11*k = 9*k + 16. What is the remainder when 15 is divided by k?
7
Let r(b) = -2*b**3 - 12*b**2 - 2*b - 9. What is the remainder when 16 is divided by r(-6)?
1
Suppose 81 = -0*f + 9*f. Calculate the remainder when 23 is divided by f.
5
Suppose -9 = -2*b + 11. Suppose -3*i + 11 = -b. What is the remainder when i is divided by 4?
3
Let g(r) = -r**3 + r**2 - 2. Let t = 55 - 37. Calculate the remainder when t is divided by g(-2).
8
Suppose 4*y - 3*i - 96 = -33, 0 = 4*y + 3*i - 81. Calculate the remainder when y is divided by 10.
8
Let o(u) = 4*u + 10. Calculate the remainder when o(8) is divided by 11.
9
Let p = 37 + 21. Calculate the remainder when p is divided by 21.
16
Let k(o) = o. Let h be k(4). Let v(r) = 7*r**2 - 5*r + 4. Let c be v(3). Suppose 0*g - c = -h*g. Calculate the remainder when 25 is divided by g.
12
Let v = 3 - 2. Let s = 23 - 14. Calculate the remainder when -1 + v + (0 - -25) is divided by s.
7
Suppose -6*w - 47 = -389. Calculate the remainder when w is divided by 12.
9
Suppose -z + 11 = z - 5*s, 3*s - 9 = -4*z. Let v(u) = u**3 + u**2 + 2*u - 4. Let y = 6 + 7. Calculate the remainder when v(z) is divided by y.
12
Suppose 3*r - 13 - 43 = 2*x, 0 = 2*r - 5*x - 52. Calculate the remainder when 61 is divided by r.
13
Let o = 4 - 1. Suppose -5*c + 22 = -o*c. What is the remainder when (-57)/(-3) + 2/1 is divided by c?
10
Let g be (-4)/(-14) - (-24)/14. Suppose 0 = g*r - 20 + 4. What is the remainder when 15 is divided by r?
7
Suppose 0 = -o - 3 - 9. Let m be ((-3)/(-6))/(1/o). Calculate the remainder when m/27 - (-155)/9 is divided by 6.
5
What is the remainder when (-12)/(-10) - 5790/(-50) is divided by 37?
6
Let i = 14 - 8. Suppose 3*l = -5*y + 4*l + 107, -l - 2 = 0. What is the remainder when y is divided by i?
3
Suppose -4*s + 9*s = -55. Let v = -11 - s. Let f(h) = h**3 + h**2 + 54. What is the remainder when f(v) is divided by 14?
12
Suppose -83 = -2*a + a + m, 3*m - 231 = -3*a. Suppose -3*y + 30 = k - 5*y, -4*y + a = 5*k. Calculate the remainder when k is divided by 11.
9
Let y(h) = -h**2 - 11*h + 13. Let o be y(-10). Let z = -6 + o. Calculate the remainder when z is divided by 7.
3
Let l(y) = y - 2. Let r be l(7). Suppose -35 = -r*q + 25. What is the remainder when q is divided by 8?
4
Let i = 9 + -15. Let b(o) = o**3 - 15*o**2 - 14*o - 21. Let g be b(16). Let l = g + i. Calculate the remainder when 9 is divided by l.
4
Let a(f) = -f**3 - 7*f**2 - 6*f + 1. Let h be a(-6). Let m(q) = 2 + 2*q + 0 - h + q**2. What is the remainder when m(-6) is divided by 9?
7
Let w = 48 + 6. Calculate the remainder when w is divided by 14.
12
What is the remainder when (-2 + 1 - (1 - 1)) + 77 is divided by 13?
11
Let z(c) = c**3 - c**2 - c + 20. Calculate the remainder when 59 is divided by z(0).
19
Let g = -1 + -22. Let p = g + 38. Calculate the remainder when 57 is divided by p.
12
Suppose 0 = d + 4*d - 15. Let z = -5 + 13. Let g = z - d. What is the remainder when 9 is divided by g?
4
Suppose g + 4*g = 520. Suppose 2*j = 4*j - g. Suppose -4*b + 16 + j = 0. What is the remainder when 50 is divided by b?
16
Let h(b) = -31*b + 1. Suppose 0 = -3*y + 58 - 7. Calculate the remainder when h(-1) is divided by y.
15
Let m = -29 - -13. Let s = 54 + m. What is the remainder when s is divided by 13?
12
Suppose -4 = 4*h + n, 3*n - 2*n = -5*h - 5. Let k = 4 - h. Suppose k*w - 32 = 3. Calculate the remainder when w is divided by 4.
3
Let y = 78 - 47. What is the remainder when 185 is divided by y?
30
Let t be 9 - (0 - (2 - 3)). Suppose -20 = -u - 2*n, 2*u - 4*n = -0*u + t. Let b = 37 - u. What is the remainder when b is divided by 9?
7
Let u be 318/(-24)*(-4 + 0). Suppose -9 = 3*b, u = 5*x + 5*b - 27. Calculate the remainder when 36 is divided by x.
17
Let p(q) = 3*q**2 - 18*q + 18. Suppose 3*k - 32 = -h, -3*h + 6*h - 78 = -3*k. Calculate the remainder when p(8) is divided by h.
20
Suppose 0 = -0*i + i - 60. Let m = i + 1. Suppose 0 = -5*f + 5*p + 80, 4*f + 2*p + 26 = 120. What is the remainder when m is divided by f?
19
Let h(j) = -j - 9. What is the remainder when h(-13) is divided by 3?
1
Let a be (-2)/((14/4)/(-7)). What is the remainder when 86 is divided by 24 - a/(2 + 0)?
20
Let k(c) be the third derivative of 5*c**4/24 - 7*c**3/3 + 2*c**2. Calculate the remainder when k(13) is divided by 26.
25
Let y(q) = -q**3 + 2*q**2 + 3*q - 3. Let w be y(2). Suppose 42 = 5*a + 2*t, w*t - t - 2 = 0. Calculate the remainder when a is divided by 3.
2
Let k(h) = 2*h - 26. What is the remainder when k(16) is divided by 4?
2
Suppose -q - 5 = 2*j, -3*q + j = -19 + 6. Let f(u) = u**3 + 7*u**2 + 5. Let p(r) = 7*r**3. Let s be p(-1). What is the remainder when f(s) is divided by q?
2
Suppose 3*g + 2*g - 40 = 0. Let a be 2/10 + 38/10. Calculate the remainder when g is divided by (-3)/6 + 14/a.
2
Let n(u) = u + 9. What is the remainder when n(0) is divided by (-3)/(-2)*8/3?
1
Let z = 21 + -19. Calculate the remainder when 9 is divided by z/(-2)*-1*3.
0
Suppose c + f - 53 = -4*c, -16 = -2*c - 3*f. What is the remainder when (-30)/(-2 + (-15)/(-12)) is divided by c?
7
Let q(f) = f**2 + f + 3. Let u(h) be the second derivative of -h**4/12 - 5*h**3/3 - 9*h**2/2 - 4*h. Calculate the remainder when q(6) is divided by u(-7).
9
Let z(o) be the first derivative of o**3/3 - 5*o**2/2 - 2*o - 1. Calculate the remainder when 45 is divided by z(7).
9
Suppose 11*j - 7*j + 2*v = 370, -4*j + 3*v + 375 = 0. Calculate the remainder when j is divided by 19.
17
Suppose n = -1 - 9. Let d = n + 11. What is the remainder when d is divided by 1?
0
Suppose -2*h - 8 = -j + 21, 5*h + 3*j + 56 = 0. Let i = 22 + h. What is the remainder when i is divided by 5?
4
Let b = 9 + -2. Let l = -51 - -78. What is the remainder when l is divided by b?
6
Let k(d) = -2*d**3 - d*