0 + 38 = 8*n. Let m(a) = 11*a**2 - 7*a + 6. Calculate the remainder when m(n) is divided by 6.
4
Let q(k) = k**3 + k**2 + 2*k + 208. What is the remainder when q(0) is divided by 15?
13
Let b(a) = -a**3 - 6*a**2 - 8*a - 5. Suppose 73 = 9*g + 1. Suppose 9*h = g*h + 27. Calculate the remainder when h is divided by b(-5).
7
Let v(z) = 3*z - 28. Let l be v(4). Let q(a) = -5*a - 39. Suppose -i - 8 + 22 = 0. What is the remainder when q(l) is divided by i?
13
Suppose 110 = 4*s + 5*i, 8*i = -s + 11*i + 53. Suppose -5*y - b + 312 = b, -2*b = -2*y + 136. Calculate the remainder when y is divided by s.
29
Let m(s) = -18*s**3 + 4*s**2 + 25*s + 37. Calculate the remainder when 150 is divided by m(-2).
3
Let c(r) = -r + 22. Let i = -17 + 21. Suppose -2*w = 3*z - 49, -i*z + 2*w - 4*w + 62 = 0. Calculate the remainder when z is divided by c(17).
3
Suppose -3*s = 12*s - 450. What is the remainder when s is divided by 1?
0
Let y be (-1 - -2)*-2 + 8 + -6. Suppose y = 4*v - 2*a - 248, -v + 2*a + 67 = -a. Calculate the remainder when v is divided by 32.
29
Let t be (5 - 6)/(2/8). Let h = -19 + 45. What is the remainder when h is divided by t/(-10) - (-132)/20?
5
Suppose 7*z - 5*z = 122. Suppose -32*q - 504 = -56*q. What is the remainder when z is divided by q?
19
Let k = 4 + 3. Let b = -171 + 182. What is the remainder when b is divided by k?
4
Let f be (9 - 8)*(4 - 1). What is the remainder when 25 is divided by (189/36)/(f/8)?
11
Let l = 18 + -24. Calculate the remainder when (92/(-2))/(5 + l) is divided by 8.
6
What is the remainder when -6 - 121*(-4 - -3) is divided by 40?
35
Suppose -2*g = -3*g + b + 10, b + 46 = 5*g. Let z(m) = m - 3. Let w be z(5). Calculate the remainder when 46/w*(3 - 2) is divided by g.
5
Suppose 0 = 8*g + 602 - 50. Let d = 125 + g. Calculate the remainder when 110 is divided by d.
54
Suppose 4*t + 1 = 13. Suppose 0 = 2*h + a - 8, -5*h = -0*h - a - 34. What is the remainder when h is divided by (40/(-15))/((-2)/t)?
2
Suppose q = -6*q + 1680. Suppose -q = 7*g - 13*g. Calculate the remainder when g is divided by 12.
4
Let a(n) = -n**3 + 18*n**2 + 18*n + 59. What is the remainder when 198 is divided by a(19)?
38
Let n(t) be the first derivative of 5 - 5*t - 5*t**2 + 1/3*t**3. What is the remainder when 15 is divided by n(11)?
3
Let b(y) = 4*y - 3. Suppose -z + 2*w - 64 = 0, 2*z = -4*w - 112 - 48. Let t = 85 + z. Calculate the remainder when t is divided by b(2).
3
Let u be (-83 + 1)*(-60)/40. Let v = 190 - u. What is the remainder when v is divided by 14?
11
Calculate the remainder when -4 + (13 - 6) - (-255 - 2) is divided by 67.
59
Suppose 0 = -8*d + 48*d - 1200. Calculate the remainder when 1496 is divided by d.
26
Let p(z) = -z - 2*z - 5 + 3. Suppose -5*s = 3*f - 203, -4*f - 3*s + 295 = 39. Calculate the remainder when f is divided by p(-6).
13
Let o = -365 - -627. What is the remainder when o is divided by 12?
10
Let j(y) = -4*y**3 + 0*y**2 - y**2 + 0*y**2 + 5*y**3 + 8. What is the remainder when 30 is divided by j(0)?
6
Suppose -3*u + l = -18 - 0, 5*u - 34 = 3*l. Let i = u + 5. What is the remainder when 77 is divided by i?
7
Suppose 0 = -w + 4 + 10. Let a(u) = 4*u**2 + 4*u - 9. What is the remainder when a(-4) is divided by w?
11
Suppose 24 - 8 = -q. Let m = 83 + q. What is the remainder when m is divided by 17?
16
Let i be (5/((-75)/(-9)))/((-3)/(-15)). Suppose 6*x - 45 = i*x. Calculate the remainder when 71 is divided by x.
11
Let x(n) = -2*n - 19. Let k(j) = 2*j**2 - 18*j - 4. Let v be k(8). Let o(p) = -p + 82. What is the remainder when o(0) is divided by x(v)?
19
Suppose -w - z = z - 30, 4*w - 2*z = 80. What is the remainder when (4/7)/(72/9828) is divided by w?
12
Let d be 14*(-3)/36*-6. Suppose -78 = -2*j - 4*f, j - 4*f - 12 = 57. Calculate the remainder when j is divided by (4/3 - 3)/(d/(-105)).
24
Let h(r) = 6*r**2 + 0*r**2 - 45 - 7*r**2 + 25*r. Calculate the remainder when h(21) is divided by 14.
11
Suppose 5*v + 4*b - 56 = 0, -4*v = -5*v + 2*b. Let a(o) = o**2 - 9*o - 1. Let i be a(v). Calculate the remainder when 52 is divided by 50/3 - 12/i.
16
Let g = -373 - -660. What is the remainder when g is divided by 12?
11
Suppose 2*p - 2 = 0, -5*b + 1645 = -0*p - 5*p. What is the remainder when b/4 - (-2)/(-4) is divided by (-170)/(-8) + (-11)/44?
19
Let p(l) = -l**3 + 7*l**2 - 2*l + 3. Suppose 25 = 5*g - 0. Suppose 2*m = k - 27, k + m = -m + 19. Calculate the remainder when p(g) is divided by k.
20
Suppose 9*l - 5073 = -48*l. What is the remainder when l is divided by 12/(-8) - (-39)/2?
17
Suppose 22*h - 385 = 11*h. Let u = -7 - -12. Let y(x) = 3*x + 5. Calculate the remainder when h is divided by y(u).
15
Let u = -221 - -336. Calculate the remainder when u is divided by 19.
1
Let s(g) = -2*g**2 - 6*g - 7. Let y be s(-4). What is the remainder when y/((-225)/6)*(-1 + 121) is divided by 13?
9
Suppose -2*n + 80 = -n. Suppose 2*k = 7*k - n. Calculate the remainder when 79 is divided by k.
15
Let b(a) = -2*a**2 - a. Let k be b(0). Suppose -2*q + 200 = -5*x, -102 = -q - k*q + 3*x. What is the remainder when q is divided by 7?
6
Let f = 43 - 26. Let i = 14 + -9. Suppose -113 - 127 = -i*s. Calculate the remainder when s is divided by f.
14
Suppose -h + 139 = -2*y, -y = -0*y - 4*h + 73. Let t = y + 123. Suppose q = 3*i + 30, 0 = -3*q + q + 4*i + t. Calculate the remainder when 83 is divided by q.
20
Suppose 10 + 0 = 2*i, 3*c - 268 = -2*i. Suppose 99 = 2*d + 55. What is the remainder when c is divided by d?
20
Let k be (-66)/9*3/(-2). Suppose -k*o - 22 = -13*o. What is the remainder when 63 is divided by o?
8
Suppose 11 = 4*t + v, -3*t + 5*v = 1 + 8. Suppose -y + 3*i + 25 = 0, 4*y - 55 = -i - t*i. Calculate the remainder when 30 is divided by y.
14
Suppose 67*i = 72*i, 0 = 3*k + i - 171. What is the remainder when k is divided by 31?
26
Suppose 3*d - 6*d + 138 = 0. What is the remainder when d is divided by 3?
1
Let b = 729 + -627. Suppose -4*w - 4*t + 148 = -0*w, -3*w + 101 = -2*t. What is the remainder when b is divided by w?
32
Let f be (-224)/(-105) + (-6)/45. Let y(g) = g**f - 3*g**2 - 10*g + 62 - 68. What is the remainder when 9 is divided by y(-4)?
1
Suppose 0 = 3*s + 5*u - 146, -4*s - 2*u = -163 - 27. Calculate the remainder when 136 is divided by s.
42
What is the remainder when (2/8*4)/((-4)/(-56)) is divided by 9?
5
Let h = -29 - -76. Let q(v) = 2*v**2 - v + 25. Suppose -3*o - 9 = 0, -2*y - 2*o - 1 = 5. Calculate the remainder when h is divided by q(y).
22
Suppose 4*t - 186 = 2*d, 45 = -3*t - 2*d + 188. Calculate the remainder when (2 + 1840/15)*(-3)/(-2) is divided by t.
46
Suppose 34*h - 30*h = 16. Suppose h*w - 12 = 0, 66 = 3*g - 2*w - 3*w. Calculate the remainder when 78 is divided by g.
24
Let d = 153 + -138. Calculate the remainder when 113 is divided by d.
8
Suppose 0 = r + 3*q + 17, -5*r + 4*q - 5 = 42. Let a = 31 + r. Let t = -106 + 184. Calculate the remainder when t is divided by a.
18
Suppose 0 = 9*z + 73 + 143. Calculate the remainder when (-41*(z/3)/4)/2 is divided by 14.
13
Let j = 774 + -694. Calculate the remainder when 559 is divided by j.
79
Let f = 206 + -143. What is the remainder when 121 is divided by f?
58
Suppose 0 = -m - 2*m. Let j(u) = 0*u - 9 + m*u - 9*u. What is the remainder when j(-4) is divided by 7?
6
Suppose -5*v - 7 = -32. Suppose -8*k + 258 = -v*k. What is the remainder when k is divided by 15?
11
Let y(l) = -2*l**3 + 20*l**2 - 16*l - 4. Calculate the remainder when 330 is divided by y(9).
8
Let n be ((-2)/8)/(5/(-40)). Suppose -l - n*l + 91 = -5*h, -h = -1. What is the remainder when 28 is divided by 5/1*l/20?
4
Suppose -7*b + 32 = 2*h - 11*b, -6 = -2*b. Calculate the remainder when 61 is divided by h.
17
Let k = 60 + -24. What is the remainder when 314 is divided by k?
26
Suppose -286 = 3*m - 25*m. Calculate the remainder when 46 is divided by m.
7
Suppose 2*g - 138 = -5*y - 0*g, 48 = 2*y - g. What is the remainder when y is divided by 18*-5*(-2)/45?
2
Let w = 14 - 15. Calculate the remainder when (w - 49/3)/(12/(-18)) is divided by 7.
5
Let a = 82 - 74. Suppose -t - 3*x = -1, 4*x = -a*t + 3*t + 16. Calculate the remainder when 24 is divided by t.
0
Let m(a) = 48*a**2 - 26*a - 48. Calculate the remainder when m(-2) is divided by 41.
32
Let z(f) = -f**3 + 8*f**2 + 11*f + 2. Let b = 3