 Let d(q) = -6*q + 2. Let o(v) = d(v) + 3*i(v). Calculate the remainder when 40 is divided by o(-4).
12
Suppose -5*b = -3 - 52. Let h(y) = -y**3 - 5*y**2 + 5*y + 1. What is the remainder when b is divided by h(-6)?
4
Suppose 6*t - t = -20, -4*h + 5*t = -48. Suppose -l + 177 = -3*r, 38 - 156 = 2*r - 3*l. Let g = -40 - r. What is the remainder when g is divided by h?
5
Suppose 0*x - 170 = -2*x. Suppose -2*f + x = 3*f. Suppose -4*g + 19 = -17. Calculate the remainder when f is divided by g.
8
Suppose -2*x - 27 = -3*r + 29, 3*x - 6 = 0. What is the remainder when 237 is divided by r?
17
Suppose 0*r - r + 56 = 0. Suppose y = -y + r. Calculate the remainder when y is divided by 10.
8
Let z(n) = 2*n**2 + 6*n. Let b = -29 - -40. Let t(v) = 3*v - 11. What is the remainder when t(b) is divided by z(-4)?
6
Suppose 0 = 5*z - 0*z - 85. Calculate the remainder when 30 is divided by z.
13
Calculate the remainder when (-2 - (3 + 0 - 6))*87 is divided by 18.
15
Let j = 6 + -7. What is the remainder when j - (-1 - 2*9) is divided by 5?
3
Suppose 477 = 5*r - 373. Calculate the remainder when r is divided by 19.
18
Let v(j) = -j**2 + 11*j - 11. What is the remainder when 49 is divided by v(8)?
10
Suppose -6*c = 4*p - c + 202, p - 4*c = -61. Suppose -w - 5*g + 0*g - 8 = 0, g - 4 = 0. Let v = w - p. Calculate the remainder when v is divided by 13.
12
Suppose 4*j - 10 = 6. Suppose -80 = -2*y + 30. Suppose 0 = -9*m + j*m + y. What is the remainder when 21 is divided by m?
10
Let h(f) = 6*f + 14. What is the remainder when h(13) is divided by 47?
45
Let p = 2 + 4. Let o be -2*1*(3 - p). What is the remainder when 29 is divided by ((-30)/(-4))/(3/o)?
14
Let j = 72 + -58. What is the remainder when 138 is divided by j?
12
Suppose 0 = -b + 11 - 0. Let p = 1 - -1. What is the remainder when 1*p*21/2 is divided by b?
10
Let x = 0 + 119. What is the remainder when x is divided by 20?
19
Let o(n) = -n**3 - 4*n**2 - 6*n - 6. Let a be o(-4). Let u = -15 + a. What is the remainder when 5 is divided by u?
2
Suppose -2 - 8 = -2*u. Let n = 9 - 6. Suppose 4 = 2*h, -5*h = -n*s + 5*s - 16. What is the remainder when u is divided by s?
2
Calculate the remainder when 50 is divided by (-1)/(-1) - ((-45)/9 - 7).
11
Suppose 2*g + 21 = 87. Calculate the remainder when 63 is divided by g.
30
Calculate the remainder when ((-4)/(-12))/((-1)/(-12)) is divided by 3.
1
Let o = 19 - 9. Let d(p) be the first derivative of p**2/2 + p + 2. Calculate the remainder when o is divided by d(3).
2
Suppose -109 - 21 = -5*b. What is the remainder when 75 is divided by b?
23
Let s = 35 - 17. Let j = 32 + s. Suppose -5*n - 2*q + 83 = 0, -3*q = -n + q + 21. Calculate the remainder when j is divided by n.
16
Suppose -3*v + v + 42 = 0. Suppose 6*i + 4 = 2*i. Let q(o) = 39*o**2 - o. What is the remainder when q(i) is divided by v?
19
Let n(s) = s**2 + 2*s - 4. Let o(x) = x**2 + 4*x + 2. Calculate the remainder when n(4) is divided by o(-5).
6
Let x = 36 + -25. Let f = 10 + -4. What is the remainder when x is divided by f?
5
Suppose -6*d + d = -15. Let a(p) = 2*p**2 - 3*p + 5. Let v(l) = 3*l**2 - 4*l + 4. Let t(b) = d*v(b) - 4*a(b). What is the remainder when t(-6) is divided by 10?
8
Let d(g) = -g + 2. Let x(w) = -w**2 - w + 3. Let t be x(0). Let m be d(t). Let r = 0 - m. What is the remainder when 2 is divided by r?
0
Suppose -5*a = v + 21, 5*a = -2*v - 0*v - 22. Calculate the remainder when 10/a*72/(-30) is divided by 2.
0
What is the remainder when (-1 + 2)/(2/22)*2 is divided by 8?
6
Suppose 5*o - 5*p = 50, -3 = 2*o + 3*p + 2. Suppose -o*u - 5*w - 97 = 93, -2*u - 64 = -w. Calculate the remainder when 33 is divided by u/4*(0 - 2).
16
Suppose p + 2*y = -0*p + 5, 2*y - 7 = -3*p. Let z be -1 - ((-2)/p + 1). Let f = 14 - z. Calculate the remainder when f is divided by 5.
4
Let f(k) = 10 - k**2 - 18 + 6 - 5*k**3. Suppose -4*p + 22 + 26 = 0. Calculate the remainder when f(-2) is divided by p.
10
Calculate the remainder when (6 - -28)*3/2 is divided by 19.
13
Suppose 5*v = 4*v + 29. What is the remainder when 85 is divided by v?
27
Suppose -5*s - p + 393 = -0*p, -3*p + 152 = 2*s. Calculate the remainder when s is divided by 20.
19
Suppose 0 = -4*j + 11 + 5. Suppose j*q - 25 = 23. What is the remainder when 20 - -2*(-1)/(-1) is divided by q?
10
Let l = -1 + 10. Suppose -d + 2*o - 4*o = -8, 0 = 2*o + 8. What is the remainder when d is divided by l?
7
Suppose -37 = -5*j + 13. What is the remainder when 78 is divided by j?
8
Let v = 62 - 55. Calculate the remainder when 32 is divided by v.
4
Let g = -13 - -34. What is the remainder when 83 is divided by g?
20
Suppose 3*m - 14 = 4*n, 2*m + 3*n - 13 = 19. What is the remainder when m is divided by 5?
0
Let s = -5 - -7. Suppose -17 = -3*d - s. Calculate the remainder when 5/(d/(-3))*-5 is divided by 8.
7
Suppose 2*z - 25 = -3*z. Suppose 0*i - i = -5, 0 = l - z*i + 4. What is the remainder when 7/l*(22 - 1) is divided by 3?
1
What is the remainder when (18/(-8))/(6/(-112)) is divided by 22?
20
Suppose -2*q + 0*q + 4 = 0. Suppose 3*g + 2*m - 188 = 0, 5*m + 355 = q*g + 3*g. Calculate the remainder when g is divided by 17.
15
Let l(x) = -x**2 - 9*x + 7. What is the remainder when 39 is divided by l(-9)?
4
Suppose 65 = 5*s + 5. Calculate the remainder when 69 is divided by s.
9
Let r = 83 - 39. Calculate the remainder when r is divided by 16.
12
Let k(m) = -2*m**2 - 29*m + 24. Suppose -3*p = -3 - 6. Suppose -3*t = -p*l - 2*l - 20, 5*t - 29 = 4*l. What is the remainder when k(-15) is divided by t?
4
Let v(o) = 9*o - 96. Suppose -2*r = 2 - 6. Calculate the remainder when v(11) is divided by r.
1
Suppose 15 = 2*o + 3*o. Let i(j) = -j**2 - j + 1. Let q be (1 + 1 + -2)*1. Calculate the remainder when o is divided by i(q).
0
What is the remainder when (0 - -1 - 4)/(-1) is divided by 1?
0
Suppose -z + 2 = -5*w, 2*z + 5*w = 4*w + 4. Calculate the remainder when 4 is divided by z.
0
Let r = 80 + -29. Suppose -2*o - o + r = 0. What is the remainder when o is divided by 5?
2
Let b(i) be the second derivative of -2*i**3/3 + 5*i**2/2 + i. Suppose 5*k = -0*k + 45. What is the remainder when b(-5) is divided by k?
7
Let s = 26 - 23. What is the remainder when 11 is divided by s?
2
Let y(d) = -d - 2*d**3 + 4*d - 2*d**2 + 3*d**3 + 2. Suppose 2*r - 63 = 3*g - 16, -5*g - 25 = 0. Calculate the remainder when y(4) is divided by r.
14
Let d(c) = c**3 - 3*c**2 + 5*c. What is the remainder when 28 is divided by d(2)?
4
Let v = 89 - 32. What is the remainder when v is divided by 29?
28
Let n be 6*(3 + (-1)/1). Suppose n = 4*t - 0*t. Suppose -2*v + 2*z = -2 - 2, t = z. What is the remainder when v is divided by 3?
2
Suppose -3*k = -4*t - 90, -5*t - 2 = k - 13. Calculate the remainder when 101 is divided by k.
23
Suppose -2*i = 5*d - 144, -d = 2*i + i - 21. What is the remainder when 87 is divided by d?
27
Let z(a) be the second derivative of 2*a**3/3 + 9*a. What is the remainder when z(6) is divided by 9?
6
Let q(v) = -v**3 + 7*v**2 + 11*v - 9. Let z(s) = s**2 + 6*s + 8. Let c be z(-6). Calculate the remainder when q(c) is divided by 4.
3
Let v = 86 + -68. What is the remainder when 67 is divided by v?
13
Suppose 5*j + 123 - 328 = -5*a, 2*j + 205 = 5*a. Let r = a - 5. Let c = 49 + -30. What is the remainder when r is divided by c?
17
Let t = 487 - 195. Suppose t = o + 3*o. Calculate the remainder when o is divided by 19.
16
Suppose 7*w = 2*w + 135. Calculate the remainder when w is divided by 15.
12
Let x(k) = 5*k**2 + k - 4. What is the remainder when x(4) is divided by 27?
26
Let x = -4 + 4. Suppose s = -x*s + 7. Suppose -48 = -3*b + 4*l, 3*b - b - 5*l = 39. Calculate the remainder when b is divided by s.
5
Let o(k) = -k**2 - 5*k + 4. Let q be o(-4). Calculate the remainder when 78*1 - (-24)/q is divided by 21.
18
Let o be (-25)/(-10) - (-1)/2. Calculate the remainder when 35 is divided by (3/(-2) - o)*-2.
8
Suppose 0 = -2*l - 0*l + 18. Let o(m) = -l*m - 1 + 3 - 1. Calculate the remainder when 28 is divided by o(-1).
8
Suppose 0 = 3*f - p - 8, 2*f + 0*f = 3*p - 4. Calculate the remainder when 7 is divided by f.
3
Let a(y) = 48*y**2 + 2*y + 1. Calculate the remainder when a(-1) is divided by 24.
23
Suppose -4 = 3*n - 0*g - 5*g, -5*n - 2*g + 14 = 0. Suppose 4*b + 38 = -2*o + 212, 0 = n*o + 6. What i