divided by 21?
18
Let i(c) = c**2 - 6*c - 2. Suppose k + 2*o = -2*k + 45, 0 = 5*k - 3*o - 56. What is the remainder when i(-4) is divided by k?
12
Suppose -10 = -w - 0*w. Suppose 205 = -2*v + 7*v. Suppose 2*b = -3*a + 21, 38 = 3*b - 5*a - v. Calculate the remainder when b is divided by w.
8
Suppose 0 = 3*b - 0*b - 78. What is the remainder when (-2 - -1) + (-2 - (-104 + -1)) is divided by b?
24
Suppose -3*a - 60 = -2*h, h - 2*a = -20 + 49. Let i(v) = -v**3 - 4*v**2 + 4*v + 4. Calculate the remainder when h is divided by i(-5).
6
Suppose -3*y - 153 = -0. Let k = -36 - y. What is the remainder when 57 is divided by k?
12
Let v(t) = t**2 - 5. Let c(h) = h**2 - 7*h - 3. Let z be c(7). Let b be z*(-4)/3*-1. Calculate the remainder when 32 is divided by v(b).
10
Let l(u) = 13*u. What is the remainder when l(3) is divided by 14?
11
Suppose y = 4*l - 204, 198 = 3*l - 4*y + 32. Suppose -2*q - i + 20 = 2*i, 61 = 5*q + 2*i. Calculate the remainder when l is divided by q.
11
Suppose -59*k = -61*k + 112. Calculate the remainder when k is divided by 20.
16
Let m(p) = -p + 41. Calculate the remainder when 61 is divided by m(18).
15
Suppose -4*j = -2*h - h + 165, 4*h = -3*j + 195. Let i = h + -30. Calculate the remainder when i is divided by -1*1 + 4*3.
10
Let b(n) = n**3 + 5*n**2 + 4*n + 2. Let x(o) = o**2 + 7*o + 2. Let a be x(-6). Let z be b(a). Calculate the remainder when z*93/6 + 0 is divided by 11.
9
Suppose 3*v + j - 313 = 0, 0 = 2*v - 4*j + 77 - 309. Suppose 6 - 114 = -4*y. What is the remainder when v is divided by y?
25
Suppose 0 = i + 5*w - 20, 5*i - 2*w + 4*w = 8. Suppose 5*g - 24 - 16 = i. Calculate the remainder when 13 is divided by g.
5
Let p be (-4 + -2)/((-8)/4). Suppose -l + 25 = 4*v + v, p*l - 4*v = 56. Calculate the remainder when 58 is divided by l.
18
Suppose -n = -6*n + k + 192, 2*k + 150 = 4*n. Suppose 4*u - 12 = 0, 2*a = -a + 4*u + n. What is the remainder when a is divided by 7?
3
Let l be -1 + 2*(-3)/6. What is the remainder when 1/(-2) - (-93)/6 is divided by (-4)/8 - 17/l?
7
Let g = -9 + 17. What is the remainder when (8 - 10)/((-4)/26) is divided by g?
5
Suppose -3*a - 2*q + 36 = 0, a + q = 6*q + 12. What is the remainder when 42 is divided by a?
6
Suppose 0 = -5*k - 5*z + 22 + 18, 2*k = 4*z - 8. Let i(c) = -c**2 + 8*c + 2. What is the remainder when i(6) is divided by k?
2
Suppose 3*b - 1 = 68. Let q = 25 + -17. What is the remainder when b is divided by q?
7
Let q(o) = 15*o - 1. Let i be (3 - 1)*(-1)/1. Let f(y) = y**3 + 5*y**2 - 2. Calculate the remainder when q(2) is divided by f(i).
9
Suppose -t + 2*n + 22 = 0, t = 2*t + 2*n - 10. Calculate the remainder when t is divided by 2.
0
Suppose 7*a - 3*a - 2*n = 32, -3*a = -n - 25. What is the remainder when a is divided by 6?
3
Suppose -a = 4*z + 7, -2*a + 4*z - 12 = -58. Calculate the remainder when a is divided by 8.
5
Let c = -16 - -60. Suppose 3*f + 3*o - 42 = f, 7 = f - 2*o. Calculate the remainder when c is divided by f.
14
Suppose 0 = 5*l - 6*l + 15. What is the remainder when 40 is divided by l?
10
Suppose 0*b = -5*b + 2*a - 33, -b + 3 = 2*a. Let z(o) = o**3 - 8*o**2 + 10*o - 9. What is the remainder when 25/b*(-6 - 1) is divided by z(7)?
11
Let p = 15 + -7. Let w be (0/(-3))/(-4 + 3). Suppose k - 20 = -w*r + 3*r, 0 = 2*k - r - 30. What is the remainder when k is divided by p?
6
Suppose -3*g + 7*g = 36. Calculate the remainder when (-50)/3*(-3)/2 is divided by g.
7
Let p = -33 + 55. Calculate the remainder when p is divided by 4.
2
Let v(t) = 8*t**2 - t - 4. What is the remainder when v(-2) is divided by 16?
14
Suppose k + 0 = -4*x + 33, -5*k = -2*x - 11. What is the remainder when 33 is divided by x?
5
Suppose 14 + 10 = 3*k. Calculate the remainder when 21 is divided by k.
5
Let r(i) = i**3 + 5*i**2 - 7*i - 2. Let f be r(-6). Suppose -4*w + f = -32. What is the remainder when 34 is divided by w?
7
Suppose f = -2*f - 9. Calculate the remainder when 69*(-6)/27*f is divided by 16.
14
Let p = -103 + 156. Calculate the remainder when p is divided by 8.
5
Let i(r) = 3*r**3 + 1 - 10*r**2 - r**3 - r**3. Let l be i(10). Let t = l - -4. What is the remainder when 9 is divided by t?
4
Suppose 11*h - 114 = 6*h - 4*z, -3*h + 4*z + 62 = 0. Suppose 3*o - h = -1. What is the remainder when (-2)/o + (-368)/(-14) is divided by 9?
8
Suppose 6*r = 42 + 12. What is the remainder when r is divided by 6?
3
Suppose -p + 33 + 10 = 0. Let l = 68 - p. Calculate the remainder when l is divided by 7.
4
Let l(j) be the second derivative of j**3/6 - 5*j**2/2 - 2*j. Let d be l(10). Suppose 0 = -3*o + 4 + d. What is the remainder when 8 is divided by o?
2
Suppose t = -4*t + 130. Calculate the remainder when 51 is divided by t.
25
Suppose -5*c = -y + 56, -y + 4*c - 19 + 72 = 0. Let b(k) = -k - 15. Let v be b(-16). What is the remainder when y is divided by 2/(-1)*-7*v?
13
Let y(c) = c**3 + 2*c**2 - 6*c - 1. Let b be y(-4). Calculate the remainder when 36 is divided by (-2)/b - (-507)/27.
17
Suppose -76 = -4*a + 2*a - 2*s, a + 3*s = 36. Let k = 39 - 25. Calculate the remainder when a is divided by k.
11
Let j = 1 - -25. Calculate the remainder when j is divided by 7.
5
Suppose -4*l = -49 - 31. Calculate the remainder when 58 is divided by l.
18
Let i = 3 + 1. What is the remainder when i/(-2) + 54 - 3 is divided by 13?
10
Suppose 6*h = 33 - 3. Let g(m) = 7*m + 1. What is the remainder when g(1) is divided by h?
3
Let r = -3 - -8. Suppose 77 = r*w - 4*a, -64 = -3*w - w + 2*a. What is the remainder when 2/7 - 2046/(-42) is divided by w?
15
Let w(y) = -y + 5. What is the remainder when w(3) is divided by 2?
0
Suppose -3*r = 4*m - 17, -2*r + 9 + 9 = -4*m. Let g = r + 1. What is the remainder when 31 is divided by g?
7
Let p = 14 + -10. Suppose -p*h = j - 33 - 21, 2*h + 4*j = 34. What is the remainder when 24 is divided by h?
11
Suppose 8*a - 509 - 227 = 0. What is the remainder when a is divided by 16?
12
Suppose 3*s + 10 = 5*j - 8, -6 = -3*j + 3*s. Let a = j - 4. Suppose -g = -2*b + 4*b - 18, 0 = a*g + b - 45. What is the remainder when g is divided by 13?
11
Let h = -15 + 59. What is the remainder when 82 is divided by h?
38
Let p be (-6)/(-27) + 129/27. Suppose -4*l - 460 = -5*s - 6*l, -p*s + 4*l + 430 = 0. Calculate the remainder when s is divided by 23.
21
Let n(b) = -b**3 + 18*b**2 - 33*b + 22. Calculate the remainder when n(15) is divided by 17.
15
Let b(x) = x + 25. What is the remainder when b(10) is divided by 19?
16
Suppose -w + n + 37 = 0, 5*w = 3*n + 7 + 172. Suppose 4*l - w = -2*o + l, o - 18 = -2*l. Calculate the remainder when 39 is divided by o.
11
Let j(n) = -n. Let c be j(2). Let v = c - -13. Suppose 0 = -3*r + 93 + 3. What is the remainder when r is divided by v?
10
Let h = 13 + 30. What is the remainder when h is divided by 15?
13
Suppose -9*v = -12*v - 4*p + 37, p = -2. What is the remainder when (54/8)/(1/4) is divided by v?
12
Suppose r = -0*r - 5*j + 3, -4*j = -3*r + 47. Suppose 4*s + 0*s = -144. Calculate the remainder when 5/(15/s)*-3 is divided by r.
10
Let g(p) = -p**3 - 5*p**2 + 3*p - 7. Let x(y) = 4*y**2 - 2*y - 1. Calculate the remainder when x(3) is divided by g(-6).
7
Let o be (-5)/3 + 4/(-12). Let n = -2 - o. Suppose n*b = 2*b - 12. What is the remainder when 17 is divided by b?
5
Let y = 20 + 27. Suppose -2*a + 5*a = 2*g - 42, -g = 5*a + 83. Let d = 0 - a. Calculate the remainder when y is divided by d.
15
Let y = -65 + 120. What is the remainder when y is divided by 7?
6
Suppose 0 = -5*l + 14 - 4. Suppose l*c + 3 = 3*c. Calculate the remainder when 11 is divided by c.
2
Let k = -18 - -23. What is the remainder when 17 is divided by k?
2
Suppose -x = -3*z + 38, -2*x = 2*z - 4*z + 32. Suppose 287 = 4*d + 2*l - 671, 2*d - 459 = 3*l. What is the remainder when (-1)/(-4) - d/(-12) is divided by z?
9
Let c = -7 + 10. Suppose 0 = 5*w + c*j - 118, 0 = 6*w - 3*w - 3*j - 66. What is the remainder when 4/(-4) - w*-1 is divided by 12?
10
Let q = 4 - 22. Let c = -14 - q. Calculate the remainder when c is divided by 3.
1
Let u(t) = 6*t**3 + 2*t**2 - t. Suppose 0 = 2*j + 2*j - 4. Calculate the remainder when 20 is divided by u(j).
6
Let t(g) be the second derivative of -g**3/6 + 10*g**2 + g. Let v be 0 + 0 + (0 - 0). Calculate the remainder when t(v) is divided by 11.
9
Suppose 4*l