ate the remainder when v is divided by 12.
11
Let w = 14 - 10. Let g = w - -1. Let k(c) = -c**3 - c**2 + c + 3. Calculate the remainder when g is divided by k(0).
2
Let h be (-1)/3 - (-408)/9. Suppose -5 = -s + h. Calculate the remainder when s is divided by 17.
16
Suppose 2*q + 13 = -n, -4*q = 4*n - 3*n + 31. Calculate the remainder when (1 - -1)/((-6)/q) is divided by 1.
0
Let w be (2/4)/((-2)/(-240)). Suppose -3*u = 2*u - w. What is the remainder when 47 is divided by u?
11
Suppose -5*a = -41 - 54. What is the remainder when a is divided by 5?
4
Let v = 64 - 46. Let j = -53 + 88. What is the remainder when j is divided by v?
17
Suppose 3*w + 13 = 2*o - 2*w, -o = 2*w - 2. Let t = 4 - o. Calculate the remainder when 13 is divided by 6 + -2 + t + 1.
3
Let g(p) = p**2 - 2*p - 1. Let l(x) = x**2 + 5*x - 5. Suppose 2*b + 6 + 6 = 0. Calculate the remainder when g(3) is divided by l(b).
0
Let v(c) = c + 10. Let x be v(-10). Suppose -2*w = -x*w - 18. Let p = 6 + -1. Calculate the remainder when w is divided by p.
4
Let c = 50 + -33. What is the remainder when 47 is divided by c?
13
Suppose 5*g = 3*v + 147, 0*g - v + 23 = g. Calculate the remainder when g is divided by 10.
7
Let c(h) = -h**3 - 8*h**2 + 21*h - 1. What is the remainder when c(-11) is divided by 19?
17
Suppose -4 + 16 = 3*m. What is the remainder when 9 is divided by m?
1
Let j(y) = -12*y + 8*y**2 + 8 - 1 + 0 + y**3. Calculate the remainder when j(-9) is divided by 12.
10
Suppose -5 = -5*w, w - 71 = -3*z + 2*w. Let f(b) = 6*b**3 - 3*b**2 + 2*b - 1. Let d be f(2). Let s = d - z. Calculate the remainder when 29 is divided by s.
14
Suppose -3*m = -3*y - 63, 0*y - 2*y - 2*m = 22. Let t = -8 - y. What is the remainder when t is divided by 3?
2
Suppose 1 = k, i + 3*i + 3*k = 231. Calculate the remainder when i is divided by 12.
9
Let v(m) = 21*m + 1. Let p = 0 + 4. Suppose -4*g = 3*x - 69, -p*x = 4*g + x - 75. What is the remainder when v(2) is divided by g?
13
Suppose 2*s + v = 9, 12 = 2*s - 0*s + 4*v. What is the remainder when 8 is divided by s?
0
Let j(t) be the first derivative of 5*t**2/2 + 1. Let n be j(1). Suppose -m - 10 = -n*d + 5, 2*m = 0. Calculate the remainder when 8 is divided by d.
2
Let p(r) = -r**3 - 2*r**2 - 3*r - 3. Let a(n) = -2*n**3 - 3*n**2 - 7*n - 5. Let q(j) = 4*a(j) - 9*p(j). What is the remainder when 25 is divided by q(-6)?
12
Suppose -4*k - 2 = 4*j - 6, -2 = -5*j - 2*k. Suppose -2*r + 4 = j, -1 = u + r - 3. Suppose u = -2*z + 1 + 49. Calculate the remainder when z is divided by 7.
4
Let x = -11 + 26. Suppose 3*d - 163 - 38 = 0. Let z = d + -23. Calculate the remainder when z is divided by x.
14
Let r(s) = -s - 7. Let t(o) = -o - 8. Let y(j) = -3*r(j) + 2*t(j). What is the remainder when 1/(((-9)/57)/(-3)) is divided by y(0)?
4
Let y(w) = w**2 + 2*w - 12. What is the remainder when 93 is divided by y(7)?
42
Let o = 5 - -1. Suppose -63 = -5*i - 3*c, 2*i + 5*c + 1 - 11 = 0. What is the remainder when i is divided by o?
3
Suppose 0 = -7*k - 34 + 188. What is the remainder when 58 is divided by k?
14
Suppose 0 = 5*t + 3*a + 2*a - 340, -3*t + 219 = -2*a. Calculate the remainder when t is divided by 18.
17
What is the remainder when (-4)/22 + 2692/44 is divided by 16?
13
Let h(t) be the first derivative of t**4/4 + 3*t**3 + 3*t**2/2 - 4*t - 3. What is the remainder when h(-4) is divided by 22?
20
Let j(d) = 0*d + 9 + d - 2 - 3. Let a be j(-2). Suppose 2*u - 3*x - 38 = -0*u, -5*u = -a*x - 95. Calculate the remainder when u is divided by 10.
9
Let c(q) = -3*q**3 - 1. Let p be (-5)/(-15)*(3 + 0). Let g be c(p). Let a(y) = -y. Calculate the remainder when 10 is divided by a(g).
2
Let g = -38 - -47. What is the remainder when 28 is divided by g?
1
Let t(q) be the third derivative of 11*q**6/60 + q**3/6 - q**2. Suppose -28 = -v + 4*s, 5*s = -1 - 19. What is the remainder when t(1) is divided by v?
11
Let k be 13 - (-3 - 0)/(-3). Suppose -3*g + k = -18. What is the remainder when g is divided by 34/9 + 6/27?
2
Suppose 5*k - 347 = -3*f, 2*k = 2*f + 26 + 116. What is the remainder when k is divided by 37?
33
Suppose 12 + 9 = 5*c + 3*a, 0 = c + a - 3. What is the remainder when c is divided by 3?
0
Let h(l) be the first derivative of -l**4/4 + 2*l**3 - 5*l**2 + l - 2. Let k be h(7). Calculate the remainder when k/(-4) + 1/(-2) is divided by 10.
9
Suppose -2*c + 138 = 3*q, 3*q - 120 = 7*c - 3*c. Let d = -29 + q. Suppose d = g + 4*g. Calculate the remainder when 7 is divided by g.
1
Suppose 0*n + n - 7 = 0. Calculate the remainder when n is divided by 4.
3
Suppose 0 = -l - 4*p + 29, 0*l + 3*l + 4*p = 87. Suppose -d + 120 - 104 = 0. What is the remainder when l is divided by d?
13
Let c be 0 - (1 - 1 - -29). Let d = -31 + 46. Calculate the remainder when -1 + 2/2 - c is divided by d.
14
Let z be 0 + (0 - (1 + -3)). Suppose -z*r = 2*r - 8. What is the remainder when (6/15)/((-2)/(-10)) is divided by r?
0
Suppose -3*i + 2*s + 50 = 0, 0 = 3*i - 3*s + 4*s - 38. Let f = 6 - 3. Suppose 5*u - 125 = -5*c, u + f = 1. Calculate the remainder when c is divided by i.
13
Suppose -1 - 1 = -2*m, 4*r + 5*m - 13 = 0. Let q = 4 + r. Calculate the remainder when 17 + (-1 - -3 - 2) is divided by q.
5
Suppose -2*c = -3*w - 35, -2 + 14 = -4*w. Let k = -29 + 34. Calculate the remainder when c is divided by k.
3
Suppose 4 - 58 = -f. Calculate the remainder when 36 is divided by (3 + f)*1/3.
17
Let h(g) = -g**3 + 5*g**2 + 8*g - 8. Suppose 0 = -c + 3*c - 20. What is the remainder when c is divided by h(6)?
2
Let k(f) = -57*f + 1. Let p = -9 - -8. Calculate the remainder when k(p) is divided by 20.
18
Let q be (-1)/(-1)*-2*-2. Let a = q + -2. Let g = -23 + 25. What is the remainder when a is divided by g?
0
Let u(o) = o - 1. Let l be u(1). Suppose h = -l + 4. Suppose -4*d = -0*k - k - 52, 0 = -h*d - k + 52. What is the remainder when d is divided by 7?
6
Let h(q) = q**3 + 10*q**2 - 4*q - 3. Suppose -4*f + 10 = -s, 0*s + 2*f - 20 = 2*s. Calculate the remainder when h(s) is divided by 13.
11
Suppose j + 103 = 7*c - 3*c, 5*c - 135 = -5*j. What is the remainder when c is divided by 7?
5
Suppose 5*u = 106 + 19. Let i = 25 + -17. Let l(t) = -t**3 + 10*t**2 - 7*t + 2. Calculate the remainder when l(i) is divided by u.
24
Suppose 11*p - 1593 = 2*p. What is the remainder when p is divided by 36?
33
Let z(h) = h + 2. Let k be z(-2). Suppose 4*f = -2*u + 50, k = -f + u + 8 + 9. Calculate the remainder when 54 is divided by f.
12
Suppose -3*d = -9*d + 210. Calculate the remainder when d is divided by 9.
8
Let j(m) = 4*m**2 + 4. What is the remainder when j(-2) is divided by 4/2 + 18/2?
9
Suppose -3*m + 7*m - 16 = 0. What is the remainder when (3 - 6 - -2) + 44 is divided by (1 - -19) + (6 - m)?
21
Let r = -34 + 48. Let i = 26 - r. Calculate the remainder when 45 is divided by i.
9
Suppose 110 = 5*o - 0. Let g be 16/20 + (-1)/(-5). Let s(d) = 12*d**2 + d - 1. Calculate the remainder when o is divided by s(g).
10
Suppose -3*o + 28 = 2*d, o = d + 3*d - 42. What is the remainder when 52 is divided by d?
8
Suppose -g = 2*a - 92, 3*a = 2*g + 8*a - 181. What is the remainder when g is divided by 25?
23
Suppose -2*z - 7 - 1 = -5*q, 3*q + 3*z - 9 = 0. Let f = -2 + 5. Suppose -f*m - 2 = -14. What is the remainder when m is divided by q?
0
Let x(i) = -i**3 - 8*i**2 - 9*i + 5. Calculate the remainder when x(-7) is divided by 7.
5
Suppose 0 = 5*r + f - 11, 5*r - f = 2*f + 27. Suppose -r*s = -6*s - 2979. What is the remainder when (-2)/(-9) + s/(-27) is divided by 13?
11
Suppose x - 5*d + 42 = 4*x, 0 = 5*x + d - 48. Calculate the remainder when 2/(-3) + (-77)/(-3) is divided by x.
7
Let k(q) = -24*q - 13. Let r(l) = 8*l + 4. Let z(y) = -2*k(y) - 7*r(y). Suppose 0 = 4*i - i - 120. Calculate the remainder when i is divided by z(-2).
12
Let a = 171 + -109. Suppose 2*t + 48 = -t. Let w = t + 37. What is the remainder when a is divided by w?
20
Let n(q) = -3*q - 15. Let w be n(-10). Let m = w + 4. What is the remainder when m is divided by (-1 + (2 - -6))/1?
5
Let g = 577 - 375. What is the remainder when g is divided by 26?
20
Suppose 0 = -2*n + 6 - 0. Let k(o) = -2*o. Let u be k(1). What is the remainder when n is divided by u*(0 - (-9)/(-6))?
0
Suppose -4*q - 2*k = 2, -q - 4 = k - 1. Let v be -2 - q*2/4. Let i(b) = b**2 - b. What is