 4*v = 22. What is the remainder when f is divided by z/((-1)/(14 + -2))?
10
Suppose 0 = 5*y - n - 50, y + n = 5 - 1. Suppose 145 = 6*c - c. Suppose j - 5 = c. What is the remainder when j is divided by y?
7
Let n(l) = -19*l**3 + l**2 - l - 1. Suppose 7 = -4*y + x, 3*y + 0*x - 4*x + 15 = 0. Calculate the remainder when 79 is divided by n(y).
19
Suppose x + 7*m - 52 = 8*m, x + m = 54. What is the remainder when 472 is divided by x?
48
Suppose -3*o + 5*p = -463, 5*o - 779 = p - 0*p. What is the remainder when o is divided by 80?
76
Let z(m) = 4*m - 13. Let d be z(11). What is the remainder when -2 + d - 33/11 is divided by 15?
11
Let i(o) = o**3 - 2*o**2 + 2*o - 2. Let b be i(2). Suppose 0*m = b*m - 60. Calculate the remainder when m is divided by (-7*(-6)/63)/((-7)/(-168)).
14
Let y be -4 + (4 - 28)/(-2). Let c be (-8)/(y - 4) - -44. Suppose 0 = 8*u - 2*u - c. What is the remainder when u is divided by 4?
3
Suppose -3*q = -39 - 42. Let i be 3*-5*(-1)/3. Suppose 4*d - q = 4*v + 1, -3*d + i*v = -27. Calculate the remainder when 13 is divided by d.
1
Suppose -2*f + 2498 = 2*a, 14*a = 5*f + 9*a - 6225. What is the remainder when f is divided by 48?
47
Let s be -2 + 2/((-2)/(-7)). Suppose -5*t = -2*d - 58 + 3, -3*t = -s*d - 14. Suppose -8*b - t = -9*b. Calculate the remainder when 50 is divided by b.
11
What is the remainder when 3*(23/15)/(4/20) is divided by 10?
3
Suppose 9*t - 1155 = -6*t. What is the remainder when 152 is divided by t?
75
Let o = -255 - -272. Calculate the remainder when 169 is divided by o.
16
Suppose 4*q - 9 - 3 = 4*h, -5*h - 13 = -3*q. What is the remainder when 43 is divided by ((-220)/(-80))/(h/(-16))?
21
Suppose 0 = 2*w - 7*w - 15. Let s(b) = -2*b**3 - 2*b**2 + b - 3. Calculate the remainder when 207 is divided by s(w).
27
Suppose i - 4*i + 882 = -5*q, -5*q - 1171 = -4*i. What is the remainder when i is divided by 43?
31
Let t(w) = -7*w - 1. Let b be t(-5). Let u = 154 - b. Suppose 5*k - k = u. Calculate the remainder when k is divided by 16.
14
Let c(f) be the first derivative of f**3/3 - 7*f**2 + 22*f + 23. What is the remainder when c(16) is divided by 15?
9
Suppose 87*k = 64*k + 391. Calculate the remainder when 186 is divided by k.
16
Let p = 96 - 141. Let u = p + 74. Calculate the remainder when u is divided by 11.
7
Let z = -364 - -389. Calculate the remainder when 172 is divided by z.
22
Let d(c) = -9 + c**3 - 2*c**2 + 6 + 4. What is the remainder when d(3) is divided by 1/3*108/6?
4
Let n = 131 - 82. Calculate the remainder when 290 is divided by n.
45
Let w be (-3 - (-5 + 3))*-6. Let y = w + 14. What is the remainder when 78 is divided by y?
18
Let q(z) = 128*z**2 + 11*z - 11. Calculate the remainder when q(1) is divided by 10.
8
Suppose -3*r + r - 44 = 0. Let o be (-6)/33 + 1844/r. What is the remainder when 14 is divided by 4/(-10) + o/(-10)?
6
Let h(m) = -m**2 - m + 40. Let s be h(0). Suppose -s = 2*w - 7*w. What is the remainder when 36 is divided by w?
4
What is the remainder when 80 is divided by (25/(-15))/(-1)*9?
5
Let u(j) = 69*j - 294. What is the remainder when 713 is divided by u(5)?
50
Let v = -35 - -59. Let w(i) be the third derivative of i**6/120 - i**5/60 - 3*i**4/4 - i**3/6 + 2*i**2 - 62. What is the remainder when v is divided by w(5)?
6
Let l(c) = -c**3 - 10*c**2 + 25*c + 22. Calculate the remainder when 128 is divided by l(-12).
8
Let c = 2 + 0. Let q(i) = 9*i**2 + 2. Suppose 128*w = 131*w - 42. Calculate the remainder when q(c) is divided by w.
10
Let o = -1 + 4. Suppose 3*s - 8 = -b + 21, 0 = o*b - 6. Calculate the remainder when s is divided by 6.
3
What is the remainder when 171 is divided by (7 - 1)/((-24)/(-80))?
11
Suppose h - 24 = 18. Let l = h + -30. What is the remainder when 59 is divided by l?
11
Suppose 0 = -2*z + f + 402, 2*z + 4*f - 6*f = 402. What is the remainder when z is divided by 29?
27
Let y(u) = u**2 + 4*u - 3. Suppose -4 = 3*x + 5. Let f be x - -6*3/(-6). Calculate the remainder when 35 is divided by y(f).
8
Suppose 5*n - 3*f - 110 = 0, -2*f + 0 = -3*n + 66. Calculate the remainder when (10 - 250)*(1 + (-20)/15) is divided by n.
14
Let d be (-1)/4 - (-216)/(-32). What is the remainder when ((-3)/(6/(-10)))/(d + 8) is divided by 1?
0
Let u(t) = 54*t**3 + t - 1. Calculate the remainder when 424 is divided by u(1).
46
What is the remainder when 1645/28 - (-6)/(-8) is divided by (-4)/(-9) + 15/((-405)/(-258))?
8
Suppose -9*h + 510 + 138 = 0. Calculate the remainder when 287 is divided by h.
71
Let f be ((-129)/6 - 12/4)*-2. Let h = f - 33. What is the remainder when 59 is divided by h?
11
Let y be 17/68 - (-2)/(-8). Suppose -3*c = -3*x - 3, y = -5*c + x + 3*x + 1. Let n = -2 - c. Calculate the remainder when 1 is divided by n.
0
Suppose 6*l - 10 = l. Suppose 2*k - 4 = -l. Calculate the remainder when 33 is divided by (k + -2)*(2 - 14).
9
Let o(s) = -s**3 - 16*s**2 - s - 14. Let g be o(-16). Suppose 4*q = -3*d + 87, 3*q = -g*q. Calculate the remainder when 113 is divided by d.
26
Let y = -276 + 570. Suppose -3*k = -x - 2*x - y, 0 = -3*k - 5*x + 294. What is the remainder when k is divided by 9?
8
Suppose 6074 = 38*z - 1830. What is the remainder when z is divided by 70?
68
Let w = 204 - -83. Suppose w = -5*r + 712. Suppose -5*k + r = 4*u, u + 122 = 6*u + k. What is the remainder when u is divided by 7?
4
Suppose -1 = -4*o - 5. Suppose 22*v - 44 - 44 = 0. Let p = v - o. Calculate the remainder when 19 is divided by p.
4
Let j(v) = -v**2 - 9*v + 9. Let i be j(6). What is the remainder when 64 is divided by i/(-3) - (-1)/(-1)?
12
Suppose -3*r + 11 + 313 = 0. Suppose -2*m - 1224 = -2462 + 1222. What is the remainder when r is divided by m?
4
Suppose 100 = -9*r + 208. Calculate the remainder when 62 is divided by r.
2
Let u(f) = -f**2 - 7*f + 7. Let n be (-213)/(-7) + 18/(-42). Suppose 2*h = -4*a + n, -a = 2*h - 6*h + 15. What is the remainder when u(-6) is divided by h?
3
Let u = -664 + 694. Suppose -4*j + j + 185 = 2*o, 3 = j. Calculate the remainder when o is divided by u.
28
Suppose 18 = 5*p + 2*w, 7 = p + 2*w - 5*w. Suppose 3*b - 81 = p*f, 5*f + 77 = -b - 48. Let t = f - -61. Calculate the remainder when t is divided by 10.
7
Let q(t) = 2*t**2 + 5*t - 2. Let a(f) = 5*f**2 + 10*f - 3. Let l(m) = 3*a(m) - 7*q(m). Let w = 11 - 16. Calculate the remainder when l(w) is divided by 19.
17
Let z be (-45)/18*(-6)/5. Suppose z*l - 5*n - 111 = 2, -140 = -4*l + 4*n. Suppose s - l = -8. Calculate the remainder when s is divided by 9.
5
Let h(k) = k**3 + k**2 - 6*k + 5. Let w be h(3). Let c = -23 + w. What is the remainder when 72 + 2 + c + 0 is divided by 15?
14
Let r(d) = -d**2 - 17*d + 11. Let n be r(-16). Let l = 119 - n. What is the remainder when l is divided by 19?
16
Suppose -6*n + 2*n + 249 = 5*z, -5*z = -3*n - 242. Let a be z/(-21) - (-1)/3. Let q(i) = -5*i + 2. Calculate the remainder when 45 is divided by q(a).
9
Let j = -296 - -479. Calculate the remainder when j is divided by 5.
3
Suppose 3*f - 7*f = 2*g - 18, -g + 24 = -3*f. Let b = -8 + g. Suppose b = 5*t - 8. Calculate the remainder when t is divided by 3.
0
Let f be (4 + (7 - 10))*(-31 + 1). Let a = f + 74. Calculate the remainder when a is divided by 18.
8
What is the remainder when 137 is divided by -7 + 46 + (5 - 2)?
11
Let f = -10 - -10. Suppose 0 = 2*v - 0*q - 4*q - 4, 4*q - 4 = f. Suppose x = 4*z - z - 34, -5*x = -5*z + 70. What is the remainder when z is divided by v?
2
Suppose 1 + 1 = g. Suppose -228 = -g*i - i. What is the remainder when i is divided by (-178)/(-9) + (-14)/(-63)?
16
Let n(i) = i**3 + 31*i**2 + i + 68. Calculate the remainder when n(-31) is divided by 19.
18
Suppose 0 = -m + 123 - 59. Suppose 0*d - h - 13 = -d, 0 = -4*d - 2*h + 22. Suppose 6*o - d*o + m = 0. Calculate the remainder when o is divided by 11.
10
Suppose 27 = -5*v + 12. What is the remainder when 1 + 24 - 2 - v is divided by 7?
5
Suppose 0 = -3*f - h + 29, -3*f + 24 = -3*h - 21. Suppose 4*k - f - 49 = 0. Calculate the remainder when 27 is divided by k.
12
Suppose 2*r + 202 = 530. Calculate the remainder when r is divided by 14.
10
Suppose 0 = 2*b + 5*a - 34, 4*b - a - 17 = 3*b. Calculate the remainder when 112 is divided by b.
10
Suppose -476 = -16*t + 164. Let u(v) = 20*v**2 - v. What is the remainder when t is divided by u(-1)