t d(y) = y**2 - 7*y. Let r be d(7). Suppose 3*m + 0*m - 21 = r. Calculate the remainder when u is divided by m.
6
Let i(q) = q + 13. What is the remainder when 12 is divided by i(-6)?
5
Let s = 29 + -17. Calculate the remainder when 33 is divided by s.
9
Suppose -2*b - 3*b + 65 = 0. Calculate the remainder when b is divided by 5.
3
Let m(g) be the first derivative of -3*g**2/2 + 2*g - 1. Suppose i + 4*o - 1 + 0 = 0, 0 = -3*i + 2*o + 17. Calculate the remainder when m(-2) is divided by i.
3
Let g(n) = -n**2 - 13*n - 9. What is the remainder when 50 is divided by g(-9)?
23
Suppose 6*h = 7*h - 18. What is the remainder when 52 is divided by h?
16
Let k(a) = -a**3 + 9*a**2 - 15*a - 10. Let w be k(7). Let g = 6 - w. Let o(v) = -v**3 + 7*v**2 + 3*v - 9. Calculate the remainder when g is divided by o(7).
11
Suppose a - 58 = 2*p, -a + 2*p = 7*p - 93. Calculate the remainder when a is divided by 10.
8
Suppose 4*v - 82 = -2*j, -4*v = 5*j - 2*j - 83. Calculate the remainder when 119 is divided by v.
19
Suppose 2*k = 5*k - 9, -3*k = 5*j - 29. What is the remainder when 10 + 0*(-1)/(-1) is divided by j?
2
Suppose 0 = -2*y - 1 + 41. Calculate the remainder when 137 is divided by y.
17
Let l be ((-10)/(-4))/(6/12). Suppose l*q + 10 = 8*f - 3*f, q + 4 = 2*f. What is the remainder when 3 is divided by (-1 + q + -3)/(-2)?
1
Suppose x + 1 = 3. Let h(y) = 4*y**3 - 2*y**2 + y + 2. What is the remainder when h(x) is divided by 10?
8
Let y(x) = 5*x + 6. Calculate the remainder when y(3) is divided by 8.
5
What is the remainder when 282/8 + 3/(-12) is divided by 10?
5
Let s = 9 + 15. What is the remainder when s is divided by 9?
6
Suppose 3*v = 3*m + v - 8, -1 = -m - v. Suppose -m*b + 6 + 0 = 0. Calculate the remainder when (108/14)/(b/21) is divided by 14.
12
Let n(s) = 7*s - 61. What is the remainder when n(15) is divided by 23?
21
Suppose 5*s - 225 = 2*j, 3*s = -4*j + 163 - 54. Calculate the remainder when s is divided by 15.
13
Suppose 0 = 3*f + u - 25, 5*f - 7 = -5*u + 28. Calculate the remainder when 3/f - 366/(-9) is divided by 22.
19
Suppose -5*m + 25 = b, -2*m + m - 2*b = 4. What is the remainder when (-620)/(-36) + (-4)/18 is divided by m?
5
Let j(g) = -g + 5. What is the remainder when j(3) is divided by 4/3*(-3)/(-2)?
0
Suppose -y - 5*f = -8, 2*y - 2*f = f + 55. Let v = 20 + -8. Calculate the remainder when y is divided by v.
11
Let y be 1/2*-2 - 4. Let w(o) = -2*o**2 + 16*o + 3. What is the remainder when 654/10 + 2/y is divided by w(7)?
14
Suppose 4*x - 4 - 4 = 0. Let f = -1 + x. Suppose -2*n = -4 + 2. What is the remainder when f is divided by n?
0
Let o(r) = -40*r + 180. Let m = -40 + 79. What is the remainder when m is divided by o(4)?
19
Suppose 0 = -2*s - 0 + 22. What is the remainder when 31 is divided by s?
9
Let g = -54 + 104. Suppose -l = -3*w - 13, 0 = 3*w - 7*w. What is the remainder when g is divided by l?
11
Let u = 5 + -4. Let p(q) = 47*q**3 - q**2. What is the remainder when p(u) is divided by 16?
14
Suppose 4*m - 334 = -214. Calculate the remainder when m is divided by 18.
12
Let n(l) = 3*l - 30. What is the remainder when 102 is divided by n(15)?
12
Let d(b) = -b**3 + 9*b**2 + 9*b - 5. Let u be d(9). Suppose -4*r - 4 + u = 0. Calculate the remainder when 52 is divided by r.
16
Let g = -16 + 37. Calculate the remainder when g is divided by 6.
3
Let h(l) = -2*l**3 - 6*l**2 - l + 4. Let d be h(-4). Suppose 2*v + 3*v = 2*s + 22, 4*v = -4*s + d. What is the remainder when v is divided by 3?
0
Suppose -20 = -4*s - 104. Let l = 10 - s. Suppose -l = -3*z + 2*z. Calculate the remainder when z is divided by 8.
7
Let b = 0 + 0. Suppose b*j = -5*j + 35. What is the remainder when j is divided by 4?
3
Let g(w) = w**3 + 3*w**2 - 4*w. Let k(j) be the first derivative of 4*j**2 + 2*j - 1. What is the remainder when k(4) is divided by g(-3)?
10
Let i(x) = x**2 - 13*x - 17. Suppose -6 = -5*j + 19. What is the remainder when i(15) is divided by j?
3
Suppose -2*v + f - 253 = -3*v, 5*v - 2*f - 1230 = 0. Suppose -3*c - 83 = -v. Suppose 0 = 6*h - h - c. What is the remainder when h is divided by 6?
5
Let o(n) = n**2 + 6*n - 18. Calculate the remainder when o(-13) is divided by 19.
16
Suppose -4*f = 16, 3*k - 3*f - 4 = 50. Let l = -38 + 65. Calculate the remainder when l is divided by k.
13
Suppose 6*m = 13 + 95. What is the remainder when 197 is divided by m?
17
Let p = -4 - -7. Suppose p*z + 1 - 25 = 0. What is the remainder when z is divided by 5?
3
Let q = 58 - 35. Calculate the remainder when q is divided by 13.
10
Let f be -3*5/(30/(-4)). Suppose f*k - 6 = 20. Calculate the remainder when 50 is divided by k.
11
Let s(n) = -7*n - 2. Let b be s(-4). Suppose 2*y = x + 5*y - b, x - 21 = 2*y. Calculate the remainder when x is divided by 13.
10
Let z(n) = n**2 - 7*n - 1. Let h be z(7). Calculate the remainder when 40 is divided by 17 - (0/h - -3).
12
Suppose 5*v + 2*r - 29 = 0, 6*v = 2*v - 3*r + 19. Calculate the remainder when 20 is divided by v.
6
Let h(m) = 9*m - 10 - 15*m + 9*m + 2. Calculate the remainder when 18 is divided by h(6).
8
Suppose -5*s + 9 + 21 = 0. What is the remainder when 13 is divided by s?
1
Let y(x) = -x + 10. Let j be y(6). Suppose o = a + a + 20, -j*a - 72 = -4*o. What is the remainder when o is divided by 9?
7
Suppose -2*t + 0*a - 23 = 5*a, t = 5*a + 11. Let v = 8 + 2. Calculate the remainder when 9 is divided by t/(-8)*1*v.
4
Suppose -2*h + 3*n = 2*n + 25, -2*n - 10 = 0. Let m = h - -22. Let p(c) = c**3 + 4*c**2 - 2*c - 3. What is the remainder when p(-3) is divided by m?
5
Suppose -1 - 9 = -5*b. Suppose b*r - h + 42 = 7*r, -4*r + 2*h = -28. Calculate the remainder when 13 is divided by r.
5
Suppose 5*s - 45 = -c, -3*s - c = -6 - 19. Calculate the remainder when s is divided by 6.
4
Suppose -5*x + 2*j + 42 - 6 = 0, 2*x = 4*j + 24. Let w be ((-6)/5)/(x/(-105)). Calculate the remainder when (-2 - 0) + 8 + w is divided by 10.
7
Let u = -13 + 27. Suppose 0 = -3*d + d + u. Calculate the remainder when d is divided by 2.
1
Let i = -16 + 1. Calculate the remainder when 22 + (4 - i/(-3)) is divided by 11.
10
What is the remainder when (-4 - 0) + 368/16 is divided by 4?
3
Suppose 3*x + 492 = -3*c, c + 2*c = -5*x - 828. Let v be (6/7)/((-4)/x). Let j = v + -22. Calculate the remainder when 41 is divided by j.
13
Let l = 5 + -2. Calculate the remainder when 4/18 + 305/45 is divided by l.
1
Let n = 549 - 312. Calculate the remainder when n is divided by 10.
7
Suppose 4*y + 2*g = -80, y + g + 14 + 8 = 0. Let v = 3 - y. Suppose -4*o - 3*m = -44, -o = -3*o + m + 12. What is the remainder when v is divided by o?
5
Let c(w) = -7*w + 1. Suppose -2*v = -v + 1. Suppose 2*p = 8*p - 30. Calculate the remainder when c(v) is divided by p.
3
Let r = -12 + 20. Let l be (-56)/(-10) + 18/45. Let z = -1 + l. Calculate the remainder when r is divided by z.
3
Let t(z) = 2*z**2 + 5*z - 4. Let w(l) = 5*l**2 + 10*l - 8. Let i(u) = -7*t(u) + 3*w(u). Calculate the remainder when i(10) is divided by 19.
16
Suppose -m + 50 = 3*g, -g + 3*m + 2*m = -38. Calculate the remainder when (-3)/1*(12 - 13)*17 is divided by g.
15
Suppose -3*g - 72 = -6*g. What is the remainder when g is divided by 13?
11
Let x(n) = 7*n. Let s be x(3). Suppose 5*w = -3*f + 20, -4*f = -1 + s. Calculate the remainder when w is divided by 4.
3
Let v(x) = -x**3 - 3*x**2 + 7*x - 2. Let d(o) = -o**2 + 4*o + 5. Calculate the remainder when v(-5) is divided by d(4).
3
Let a(j) = j**2 - 6*j + 7. Let p = -10 + -11. What is the remainder when (-2)/6 + p/(-9) is divided by a(5)?
0
Suppose -j + 48 = -0*j + 3*u, 4*u = -j + 53. Calculate the remainder when 1/4 + 75/4 is divided by (j/(-6))/(1/(-2)).
8
Suppose 4*o - k - 24 = -0*k, k = 0. What is the remainder when 9 is divided by o?
3
Let b(n) = -n**3 - 2*n**2 + 6*n - 1. Let k = 3 + -8. What is the remainder when b(k) is divided by 15?
14
Let w(v) = -v**2 + 12*v - 6. What is the remainder when w(11) is divided by 3?
2
Let r be 1/((-1)/(-12 + -2)). Suppose -w - 3 = -r. Calculate the remainder when 20 is divided by w.
9
Suppose 133 = 2*w - 55. What is the remainder when w is divided by 16?
14
Suppose -4*k = -2*k - 58. Let g(y) = -y**3 + 6*y**2 + 9*y + 1. Suppose 6 + 15 = 3*p. What is the remainder when k is divided by g(p)?
14
Suppose -w = 4*w. Suppose w = -2*a