. Let l(h) = 5*h - 14. Let j(n) = -11*g(n) + 2*l(n). Let i = 9 - 0. Calculate the remainder when i is divided by j(0).
4
Let g(n) be the first derivative of -n**3/3 + 11*n**2/2 + 2*n + 1. What is the remainder when g(7) is divided by 11?
8
Suppose 67 + 123 = 5*b. Calculate the remainder when b is divided by 20.
18
Let y be (-43)/(-3)*(3 - 0). Let f = y + -4. What is the remainder when f is divided by 14?
11
Let p be (0/(-1))/(-1) - 22. Let k = 45 + p. Calculate the remainder when 43 is divided by k.
20
Suppose 27 = w - 2*o, -2*w + 5*o + 17 = -32. Let r = -24 + w. What is the remainder when r is divided by 8?
5
Suppose -3*q = 2*q - 10. Let r = q + 6. What is the remainder when r is divided by (20/25 - (-1)/5)*3?
2
Let z = -45 + 93. Calculate the remainder when z is divided by 10.
8
Suppose -a + b - 6*b = -31, -8 = -2*b. Suppose 2*v - 3*z + 20 = 91, 4*z - 143 = -5*v. Calculate the remainder when v is divided by a.
9
Suppose 2*f + 71 = 3*s, -4*s + 3*f + 30 = -65. Calculate the remainder when 67 is divided by s.
21
Let p(l) be the third derivative of l**6/120 + 7*l**5/60 - l**4/24 - 2*l**3/3 + 3*l**2. What is the remainder when 6 is divided by p(-7)?
0
Calculate the remainder when 76/19*35/4 is divided by 12.
11
Calculate the remainder when 6 is divided by ((-4)/3)/((-1)/3).
2
Suppose -14 = -2*n - 98. Calculate the remainder when 31 is divided by 8*1 + n/(-14).
9
Suppose 4*f = l - 8, -l + 2*l = 5*f + 7. Let y be 1*-2 - (-3 + 13). Let h = 58 + y. What is the remainder when h is divided by l?
10
Let n = -39 + 44. Calculate the remainder when 22 is divided by n.
2
Let z(u) = 3*u**2 - 3*u - 4. Let g(f) = -f. Let h be g(2). What is the remainder when 41 is divided by z(h)?
13
Suppose 20 = -q + 2*q. Suppose f + v - q = 0, -2*v + 100 = 7*f - 2*f. Calculate the remainder when f is divided by 7.
6
Suppose 0 = y + 2*y - 438. Suppose y = 2*c - 4*d, 2*c + 4*d - 49 = c. Suppose 4*r - 75 = c. What is the remainder when r is divided by 9?
8
Suppose 0 = -4*i + 205 - 77. What is the remainder when 95 is divided by i?
31
Suppose -4*u + 1 + 11 = 0. What is the remainder when 13 is divided by u?
1
Let q(f) = f**3 + 6*f**2 + 4*f + 3. Let b = 85 - 54. What is the remainder when b is divided by q(-2)?
9
Let o(x) = -x**3 - 6*x**2 - 2*x - 9. Let s be o(-6). Calculate the remainder when (-1)/s*(-5 - -2) is divided by 6/4 + (-6)/12.
0
Let q(g) = 6*g - 21. What is the remainder when 27 is divided by q(6)?
12
Let v = 27 + -19. Calculate the remainder when v is divided by 3.
2
Suppose d + 50 = 5*j, 5*j + 0*j + 3*d - 70 = 0. Calculate the remainder when 32 is divided by j.
10
Suppose 5*b + 2 + 3 = 0. Let h be 13/(-52)*12*-1. Calculate the remainder when -3 - -13 - b*h is divided by 5.
3
What is the remainder when 13 is divided by 2/(-12) + 903/126?
6
Let r(v) = v - 13. Let x be r(9). What is the remainder when 50 is divided by (-50)/x - 2/(-4)?
11
Suppose 0 = 2*q - q - 3*p - 33, -4*q + 3*p = -87. Suppose 25*k = 19*k + 204. Calculate the remainder when k is divided by q.
16
Let f(t) = -t**3 + 3*t + 5. Suppose 5*g + 0*g - 2*n = -8, -5 = 5*g - 5*n. Suppose -c = -6 - 20. What is the remainder when c is divided by f(g)?
5
Let z = -6 - -4. Let y be (-2)/(1*1/z). Let m = 3 + y. What is the remainder when 13 is divided by m?
6
Let k(j) = j**3 + 15*j**2 - 2*j - 18. What is the remainder when k(-5) is divided by 49?
46
Calculate the remainder when 111 is divided by 70/(-25) - -2 - (-238)/10.
19
Let f(j) = 11*j - 11. Let c(r) = 5*r - 5. Let d(x) = -9*c(x) + 4*f(x). Let k be d(1). Suppose k = -3*t + 20 + 7. Calculate the remainder when t is divided by 6.
3
Suppose 2*u + 2*u = 160. Suppose -5*z + q + 2*q = -117, 0 = z - 2*q - 29. Calculate the remainder when u is divided by z.
19
Let p = -14 + 31. Calculate the remainder when 57 is divided by p.
6
Suppose -4*f = -0*f - 220. Suppose 0 = -d + 2*d - f. Calculate the remainder when d is divided by 19.
17
Let a be (-7)/(-28) - (-54)/8. Calculate the remainder when 16 is divided by (-1 + a)/(10/15).
7
Suppose -9 - 3 = -r. Calculate the remainder when 32 is divided by r.
8
Let r = -217 + 316. Calculate the remainder when r is divided by 26.
21
Suppose 14*q - 12*q - 90 = 0. Calculate the remainder when q is divided by 25.
20
Let t = 0 + 11. What is the remainder when 21 is divided by t?
10
Suppose -3*y + 11 + 34 = 0. Suppose -4*j + 110 = 3*k, -5*k + 135 = 4*j + j. What is the remainder when j is divided by y?
14
Let s(y) = 2 + 7 - 7 - 4*y. Suppose 0 = -q - 0*q - 3. Calculate the remainder when 27 is divided by s(q).
13
Suppose -5*a + 4*x = -261, -a + 54 = 4*x - 3*x. What is the remainder when a is divided by 14?
11
Suppose 0*n - 508 = -3*o - 2*n, -160 = -o + 4*n. Calculate the remainder when o is divided by 13.
12
Let h = 10 - 4. Calculate the remainder when h is divided by 2.
0
Let a(v) = -2*v**2 + 48*v - 18. Calculate the remainder when 50 is divided by a(23).
22
Let c be 4/(2 - (-10)/(-6)). Let g = -280 - c. Calculate the remainder when 28 is divided by (-2)/(-5) - g/20.
13
Let x = -29 + 44. Suppose 0*t = 4*y + t - x, 0 = y - t. What is the remainder when -3 - ((-2 - 12) + 4) is divided by y?
1
Suppose 0 = 7*f - 2*f + 10. Let t = -15 + 35. Calculate the remainder when 0 + (-1 + f)*-13 is divided by t.
19
Let w = -188 + 315. Let b = w - 58. What is the remainder when b is divided by 24?
21
Let b(n) = -2*n**3 + 4*n**2 + 2*n - 2. Suppose 0*j + 14 = 2*j. What is the remainder when b(-2) is divided by j?
5
Let u = 29 - 22. Calculate the remainder when 31 is divided by u.
3
Let q = -102 - -159. Suppose 5*z + 2*i = 4*i + 80, -4*z + q = -3*i. Calculate the remainder when z is divided by 5.
3
Suppose 0*b + 4*b = -16, -5*k - 5*b = -25. Let w(j) = j**2 - 12*j + 10. Let r be w(k). Let o = 26 + r. Calculate the remainder when 16 is divided by o.
7
Suppose 0*r + 7*r = 1225. What is the remainder when r is divided by 45?
40
Let j be -2*-4*(-1)/8. What is the remainder when 8 is divided by (-1)/(j + 16/20)?
3
Let d(p) = 4*p - 32. Calculate the remainder when d(16) is divided by 11.
10
Suppose 4*r - 2*r - 76 = 0. What is the remainder when 264 is divided by r?
36
Suppose d = 4*u - 41, 2*u - 11 = -d + 8. Let a = 12 - -6. Calculate the remainder when a is divided by u.
8
Let i(d) = -d**2 + 8*d + 12. Let k be i(9). Suppose 18 = k*y - y. Calculate the remainder when 16 is divided by y.
7
Suppose -26 = -2*d + 40. What is the remainder when d is divided by 18?
15
Suppose -4*z - 16 = 0, 5*x + 4*z + 22 - 101 = 0. Calculate the remainder when x is divided by 6.
1
Let f = -17 - -30. Let k(d) = d**2 + 10*d - 1. Let p = -33 + 20. What is the remainder when k(p) is divided by f?
12
Let f = 0 - -3. Let w(k) = -k**2 - k - 11 + 0*k**3 + 45 + k**f. Calculate the remainder when w(0) is divided by 12.
10
Let t = -4 + 7. Let p = 0 + 2. What is the remainder when p is divided by ((-3)/6)/(t/(-12))?
0
Let i(c) = c + 1. Suppose -27 = -4*f - 7. Suppose -4*g + 14 = -2. What is the remainder when i(f) is divided by g?
2
Suppose 15 + 99 = 3*w. Calculate the remainder when 150 is divided by w.
36
Suppose 9 = 6*n - 39. Calculate the remainder when 55 is divided by n.
7
Suppose -37 = -p - 3*x, -p - 7 = -2*p + 3*x. What is the remainder when 109 is divided by p?
21
Let n = 32 + -13. What is the remainder when 33 is divided by n?
14
What is the remainder when (36/(-8))/(12/(-112)) is divided by 15?
12
Let m(f) = f - 9. Let i be m(7). Let s = i - -5. Calculate the remainder when 10 is divided by s.
1
Let f = 1 - 2. Let c = f - -1. Suppose 6 = -c*g + g - 4*v, 0 = g - 2*v - 10. Calculate the remainder when 26 is divided by g.
12
Suppose -5*b + 0*b - 3*q + 3 = 0, 0 = 3*b + 5*q - 5. Suppose 4*i + 2*x - 22 = b, i + x - 2*x = 13. Calculate the remainder when i is divided by 5.
3
Suppose -10 = 2*p + 3*p, 3*v - 64 = 5*p. Let l be v*6/4*-1. What is the remainder when 24 is divided by 4/18 - 345/l?
11
Suppose 18 + 12 = 5*k. Let j(g) = g**2 - 6*g - 5. Calculate the remainder when k is divided by j(7).
0
Let g be 44 + 2 + -4 + 0. Suppose 0*b - g = -2*b. What is the remainder when b is divided by 11?
10
Let v = 30 - 22. What is the remainder when 45 is divided by v?
5
Let j be (-26)/6 + (-2)/3. Let h = j + 47. Calculate the remainder when h is divided by 15.
12
Suppose -3*n - 4*p + 22 = -2*p, -3*n + 3*