alculate the remainder when w is divided by c.
8
Let g(m) = 2*m**3 - 3*m**2 - 11*m - 3. Calculate the remainder when g(5) is divided by 15.
12
Suppose -5*z - 10 = a, 5*z = a + 4 - 34. Calculate the remainder when a is divided by 4.
2
Let p(t) = 4*t - 21. Calculate the remainder when 114 is divided by p(15).
36
Let q(m) = 2*m**2 + m + 4. Let y be q(-4). Suppose 4*w - y = 132. Calculate the remainder when w is divided by 11.
8
Suppose 3*d + 8 = d. Let c = 93 + d. Let g = c + -63. Calculate the remainder when g is divided by 9.
8
Let u be (3 - 6 - -11)/2. Suppose 0 = z - 0*z + 2*x - 16, z - u*x = 34. Calculate the remainder when z is divided by 6.
4
Let u(j) = -j + 19. What is the remainder when 11 is divided by u(13)?
5
Suppose 5*x - 2*h = 18, -5*h - 12 = 8. Suppose -x*j = -13 - 43. What is the remainder when j is divided by 10?
8
Suppose 0 = -5*d + 126 + 239. What is the remainder when d is divided by (9/(-18))/((-1)/38)?
16
Suppose 5*r = 42 + 33. Suppose 6*t - 5*l - 150 = t, 5*l = 2*t - 63. Calculate the remainder when t is divided by r.
14
Suppose 3*b + 2*p = 191, -3*b = -2*p + 21 - 220. Calculate the remainder when b is divided by 17.
14
Suppose -5*g - 53 = -4*g. Let p = g - -75. Suppose -p = -d - 1. Calculate the remainder when 40 is divided by d.
19
Let l = -42 + 51. Suppose 5*v + 2*y - 18 = 2, 0 = 5*v - 5*y - 55. Calculate the remainder when l is divided by v.
3
Suppose 0*b = 4*b. Suppose -2*y + 7 + 1 = b. What is the remainder when 5 is divided by y?
1
Let z(q) = 0*q + 13*q**2 + 10*q**2 + q. What is the remainder when z(-1) is divided by 8?
6
Let t(g) = 2*g - 6. What is the remainder when 1 - 3/2 - (-1131)/78 is divided by t(7)?
6
Let q(s) = 4 + 9*s + 0*s**2 + 2*s**2 - 10. Calculate the remainder when q(-8) is divided by 17.
16
Let d(v) = -v**3 - 3*v**2 - 2*v + 2. Suppose -2*u + 3*w + 0*w + 2 = 0, -3*u - 3*w = 12. Let b be d(u). What is the remainder when 4 is divided by 0 + 1 + b/2?
0
Let n be (12/(-30))/(2/70). Let u = n + 23. What is the remainder when 25 is divided by u?
7
Suppose 3*x - 71 = 2*u, -4*x = -u - 4*u - 97. Let a be 3/((-6)/(-8)) - 2. Calculate the remainder when x is divided by 220/18 - a/9.
11
Let p be (-1 + 4)/((-15)/10). Calculate the remainder when 36 is divided by p*(-4)/8*19.
17
Suppose -5*v + 10*v = 0. Suppose 5*g + 22 = 3*m, 4*m + 3*g = g + 12. Let o = m - v. What is the remainder when 6 is divided by o?
2
Let v = 44 + -12. Calculate the remainder when 95 is divided by v.
31
Let g = 11 - 9. What is the remainder when 6 is divided by g?
0
Suppose u + r - 8 = 1, 3*r + 6 = 0. What is the remainder when u is divided by 7?
4
Suppose 2*r - 3*b = 81, 0*r + 5*b - 140 = -5*r. Suppose -3*d - 3*s + 51 = 0, -4*d + s + s = -38. What is the remainder when r is divided by d?
9
Let g(r) = -2*r - 6. Let h be g(-4). Let u be 2*(10/4 - 1). Let t = u + h. What is the remainder when 14 is divided by t?
4
Suppose -3*f + 4 = -f. Let a = f + 7. What is the remainder when 34 is divided by a?
7
Let p(t) = t**2 - 3*t + 12. Calculate the remainder when p(9) is divided by 23.
20
Suppose 0 = 4*g - 52. Suppose 10*s - 266 - 94 = 0. What is the remainder when s is divided by g?
10
Suppose -4*b + b + 90 = 0. What is the remainder when 117 is divided by b?
27
Suppose 2*p + 9 = 3*p. What is the remainder when 24 is divided by p?
6
Let w(c) = 2*c**2 + c**2 + c**2 - c**2. What is the remainder when 35 is divided by w(2)?
11
Suppose 0 = -5*m + v - 52, -8 = -5*m - v - 66. Let n = 8 - m. Let c = 14 + 41. Calculate the remainder when c is divided by n.
17
Let k = 26 + -8. Let r be (2 - 16)*3/(-6). Let y(a) = -a**2 + 9*a - 4. What is the remainder when k is divided by y(r)?
8
Let o be (-7 + 4)*2/(-3). Let r be 2 + (1 - o) + -2. Let z = r + 3. What is the remainder when 2 is divided by z?
0
Suppose -86 = -3*q - 5*h, -h - 106 = -4*q - q. Calculate the remainder when 82 is divided by q.
16
Let j = -116 - -188. Calculate the remainder when j is divided by 25.
22
Suppose -5*m = -0*j - 2*j + 41, 2*j - 11 = -5*m. Suppose -3*t - b + 7 = 4*b, -2*b = 2*t - 6. Calculate the remainder when j is divided by t.
1
Suppose 0 = g + 3*s - 22, 0 = -2*g + 4*s - 1 + 5. Suppose 4*o - 5*z = 15 + 19, -4*o = 3*z - 18. Calculate the remainder when g is divided by o.
4
Suppose 3*i - 4*j - 21 = -2*i, -4*i + 21 = j. What is the remainder when 7 is divided by i?
2
Let j(a) = -a**3 + 2*a**2 + 3*a - 3. Let y(q) = -2*q + 4. Calculate the remainder when j(-3) is divided by y(-7).
15
Let y = -4 - -7. Let o = 0 + 5. What is the remainder when (1 + 2)/y + 7 is divided by o?
3
Suppose 2*l = 5*u - 30, 2*l + 0*l = 4*u - 26. Suppose 9*b - u*b = 35. Let t(z) = -z**3 - 7*z**2 - 9*z - 7. What is the remainder when t(-6) is divided by b?
4
Suppose -4*h = 5*b + 35, 3*b - 4 = -13. Let z(m) = 2*m**2 - m - 6. Calculate the remainder when z(h) is divided by 17.
15
Let l(o) = 6*o**3 - 3*o**2 - 2*o + 4. Calculate the remainder when l(2) is divided by 20.
16
What is the remainder when 3 is divided by 35/20 + (-2)/(-8)?
1
Suppose -5*c + u + 65 = 5*u, -60 = -5*c - 3*u. What is the remainder when ((-51)/(-6))/((-1)/(-2)) is divided by c?
8
Let v = 109 + -50. What is the remainder when v is divided by 12?
11
Suppose -163 = -7*s + 5. Calculate the remainder when 189 is divided by s.
21
Let v(j) = -j**2 - j - 3. Let s be v(-3). What is the remainder when 59 is divided by (-2)/s + (-356)/(-18)?
19
Let j(z) = -z**3 - 3*z**2 + 3*z + 1. Let y = 16 + -10. Suppose y = 3*a - 36. What is the remainder when a is divided by j(-4)?
4
Let w(i) = 2*i**2 - 6*i - 6. Calculate the remainder when 55 is divided by w(5).
13
Suppose 26 = 3*d + 2*i, -11 + 39 = 4*d + i. Let c = d + 16. What is the remainder when 63 is divided by c?
19
Suppose 0 = -0*d + 2*d + 128. Let f = 115 + d. Calculate the remainder when f is divided by 26.
25
Suppose 3*p = 4*p - 1. What is the remainder when 1 is divided by p?
0
Let n = -27 + 30. Suppose 68 = n*i - d, -d + 5*d + 56 = 3*i. Let s = 71 - -23. What is the remainder when s is divided by i?
22
Let c(i) = -i**2 - 4*i + 12. Let a be c(-6). Let p(s) = -s**2 + 10 + 6 - s - 5. What is the remainder when 31 is divided by p(a)?
9
Suppose -7*x = 3*x - 1220. Calculate the remainder when x is divided by 21.
17
Suppose 0 = -9*c + 13*c - 80. What is the remainder when c is divided by 8?
4
Let j(x) be the third derivative of x**5/20 + x**4/8 + x**3/3 + x**2. Calculate the remainder when j(-4) is divided by 20.
18
Let a = 3 - 3. Suppose 12 = 3*n, -5*k + 49 = -a*k - 4*n. What is the remainder when (-75)/(-2) - 1/2 is divided by k?
11
Suppose 0 = 5*r + 3*d + 17 - 70, 2*r - 30 = d. Let t = 228 + -94. Let u = t - 96. What is the remainder when u is divided by r?
12
Suppose -f + 29 = -10. Let a(y) = y**3 - y**2 + 10. Let b(x) = -x**3 - 3*x**2 + 4*x. Let d be b(-4). Calculate the remainder when f is divided by a(d).
9
Let i(a) = -a + 11. Suppose 4*g + 2*s - 3 = 3*s, 0 = -5*g + 2*s + 6. What is the remainder when i(g) is divided by 4?
3
Let g(r) = 4*r**3 - 5*r**2 + 5*r - 10. Let y(f) = f**3 - f - 1. Let i(m) = g(m) - 3*y(m). Calculate the remainder when i(5) is divided by 18.
15
Let n(v) be the second derivative of -v**3/2 - v**2/2 + 2*v. Let u be n(-2). Let z(d) = -d**2 + 8*d - 3. Calculate the remainder when 35 is divided by z(u).
11
Let t(g) = -g**3 - 9*g**2 + 9*g + 6. What is the remainder when t(-10) is divided by 16/3 - 14/(-21)?
4
Let l be -4*(2 + (-591)/6). Suppose 4*s - p - 307 = 2*p, 0 = 5*s - 3*p - l. Let r = s + -41. Calculate the remainder when r is divided by 20.
18
Let q = 43 + -22. What is the remainder when q is divided by 3/6*(23 + 1)?
9
Suppose 2*y + h = -3*h + 100, 135 = 2*y - 3*h. What is the remainder when y is divided by 21?
18
Suppose -4*k - 5 = 4*h - 17, 9 = 3*h + 2*k. Let i(f) = f - 3. Let n be i(8). Suppose -4 = n*z - 6*z. Calculate the remainder when z is divided by h.
1
Calculate the remainder when (-39)/(-1)*((-1)/(-3) - -1) is divided by 20.
12
Let w(t) be the third derivative of 7*t**4/12 - t**3/3 + t**2. Calculate the remainder when w(3) is divided by 14.
12
Suppose 90 = k + 2*k. Let a = k + -18. Calculate the remainder when ((-46)/8)/((7/7)/(-4)) is divided by a.
11
Let h(y) = 3*y**3 - 2*y**2 + 2*y - 2. Calculate the remainder when 34 is divided by h(2).
16
Let k = 31 + -45. Calculate 