Let p = d - 83. Calculate the remainder when p is divided by 9.
1
Suppose 66 = -3*p - 15. Let f be (-90)/p - (-1)/(-3). Suppose -141 = -f*c - o, c - 3*o + 94 = 3*c. What is the remainder when c is divided by 12?
11
Suppose 5*r - 30 = -10. Suppose -r = -z + 18. Suppose 2*l - 2*i = 3*i + 16, -3*l + 5*i + 24 = 0. Calculate the remainder when z is divided by l.
6
Suppose 0*h = -h + 9. Let k be 6/30 + (-1)/5. Suppose k = 2*w + 2*l - 76, -5 = w - 5*l - 19. Calculate the remainder when w is divided by h.
7
Suppose -5*l + 145 = 5*y, 7*y - 11*y - l = -131. Calculate the remainder when 134 is divided by y.
32
Suppose 2*k - 126 = 64. What is the remainder when k is divided by 1?
0
Let f(v) = 47*v - 188. Calculate the remainder when f(7) is divided by 21.
15
Suppose -v + 5*v - 16 = -b, 51 = 4*b + 3*v. Calculate the remainder when 26 is divided by 3 + (-4)/b*0 - -11.
12
Let i(j) = -2*j + 59. What is the remainder when 134 is divided by i(21)?
15
Suppose -4370 = -3*h - 20*h. What is the remainder when h is divided by 48?
46
Suppose 7*u = 64 + 104. What is the remainder when u is divided by 14?
10
Suppose z + 6*c - 43 = 9*c, -5*z + c + 285 = 0. What is the remainder when z is divided by 1 - 5/(5/(-19))?
18
Suppose -4*t + 100 = -20. What is the remainder when 94 is divided by t?
4
Let b(h) = -h**3 + 6*h**2 + 9*h - 4. Calculate the remainder when b(6) is divided by 18.
14
Suppose c - 20 = 9. Let k = 49 - c. What is the remainder when 79 is divided by k?
19
Suppose -3*t - t - 88 = 0. Let r = t + 25. What is the remainder when 3 is divided by r?
0
Let y = 38 - 16. Let s = y - 7. Let v = -8 + 14. Calculate the remainder when s is divided by v.
3
Let t(u) = 133*u + 42. What is the remainder when 132 is divided by t(0)?
6
Let t(u) = -u**3 - 29*u**2 - 123*u - 5. Calculate the remainder when 253 is divided by t(-24).
52
Suppose 3*x + 93 = -3*z, -x = 4*z + 2*x + 121. Let w = 65 + z. Suppose m - 36 = -2*q - m, q = -4*m + 33. Calculate the remainder when w is divided by q.
11
Let c(z) = z**3 + 14*z**2 - 36*z + 27. Calculate the remainder when c(-16) is divided by 14.
7
Suppose 5*w - 767 = -117. What is the remainder when w is divided by 22?
20
Suppose -4*k - 7*g + 8*g + 90 = 0, -4*k = -5*g - 82. Calculate the remainder when 79 is divided by k.
10
Let k be -2*(14/4 + -3). Let w(g) = -3*g**3 + 2*g**2 - 1. What is the remainder when 9 is divided by w(k)?
1
Let q = -10 + 8. Let k = q + 15. Suppose -k*w = -9*w - 148. Calculate the remainder when w is divided by 10.
7
Let o(x) = x**3 - x**2 - 16*x - 1. Let c(r) = r**2 - 6*r + 5. Calculate the remainder when o(6) is divided by c(8).
20
Let n = -237 - -458. What is the remainder when n is divided by 8?
5
Suppose 4*w + 3*f + f = 224, -113 = -2*w - f. Calculate the remainder when w is divided by 1/((-1)/4 + 21/70).
17
Let t(v) = v**3 + 9*v**2 - 26*v - 1. Calculate the remainder when t(-10) is divided by 81.
78
Suppose -4*v + 3*p + 136 = 2*p, 0 = 5*v - 5*p - 170. Calculate the remainder when v is divided by 29.
5
Suppose 0 = 4*z - 3*t - 260, -5*z - 3*t - 2*t = -290. Calculate the remainder when z is divided by 49.
13
Suppose -4*x - 3*m + 323 = 0, 4*x - 18*m + 13*m - 283 = 0. Let v(t) = 2*t**2 + 8*t + 3. What is the remainder when x is divided by v(-6)?
23
Let v = 42 + -46. Let w(k) = -11*k + 3. What is the remainder when 140 is divided by w(v)?
46
Suppose 3*j - 117 = q, -j + 6*q + 32 = 8*q. What is the remainder when j is divided by 8?
6
Let t = 1 + -1. Suppose 0 = -4*h + 12, -5*r + 5*h = -t*r - 400. What is the remainder when r is divided by 28?
27
Suppose -2*t + 9 = -5*s - 12, -5*t + 62 = -3*s. Calculate the remainder when 115 is divided by t.
11
What is the remainder when (-78720)/(-420) + 6/(-14) is divided by 7?
5
Let d = 32 - 28. Suppose -d*b - 5*m + 27 = -21, 4*b = -2*m + 48. Calculate the remainder when 21 is divided by b.
9
Let j(r) = -32*r + 308. What is the remainder when j(-6) is divided by 28?
24
Let k = -6 + 8. Suppose -2*q - 2*o = -46, k*q - 123 = -3*q - 3*o. Suppose -3*g + q = 2*n, g - 9 = -0*n + 2*n. What is the remainder when 14 is divided by g?
5
Let f(j) = 57*j**2 + 8*j - 6. Calculate the remainder when f(2) is divided by 24.
22
Suppose 3*n = 7*n - 4, 5*n = 4*j + 13. Let r be 18/4 + j/4. Suppose -116 = -r*c - 2*t, 2*t = -2*t - 16. Calculate the remainder when c is divided by 16.
15
Suppose 0 = -4*d - 2*o + 4 + 18, -3*o = 2*d - 5. Suppose 0 = 4*q + 7 + 9. Let r = 0 - q. What is the remainder when d is divided by r?
3
What is the remainder when 153850/255 - 10/(-6) is divided by 29?
25
Suppose 13 = -3*z - 23. Let y = 41 + z. What is the remainder when 173 is divided by y?
28
Suppose 2*g - 44*g + 13650 = 0. What is the remainder when g is divided by 7?
3
Let s be -5*3/(30/(-68)). Let x be 50 + -2 + -1 - -8. Suppose x = 4*k + 5*a, -6*k + 2*k = -2*a - s. Calculate the remainder when k is divided by 6.
4
Let m = 121 + -127. Calculate the remainder when 65 is divided by (4/m)/(16/(-408)).
14
Suppose -3*h + 0*h + 189 = 0. Let s = h + -11. What is the remainder when s is divided by 14?
10
Suppose 9*p = 14451 - 2760. Calculate the remainder when p is divided by 21.
18
Suppose -f + 4 = 5, -3*f = -3*s + 171. What is the remainder when s is divided by 17?
5
Let t be 0 + 62/15 + (-4)/30. What is the remainder when 36 is divided by (12/t - 4)*-19?
17
Let j be (-2)/(-6) - (-68)/(-6). Let w = 2 - j. Calculate the remainder when 24 is divided by w.
11
Suppose 4174 = 16*v - 4610. What is the remainder when v is divided by 29?
27
Let r = 118 - 33. What is the remainder when r is divided by 29?
27
Let w be (8/(-16))/(2/(-40)). Suppose -5*t + 20 = w. Suppose -20 = -4*z + t*p, z - 5 = p + 2*p. Calculate the remainder when 18 is divided by z.
3
Let b(m) = 3*m**2 - 9*m - 15. Let a be b(-7). Suppose -a + 425 = 5*p. Calculate the remainder when 88 is divided by p.
42
Let h = 39 - 23. Suppose -17*x - 160 = -21*x - 3*o, -2*x + 90 = -o. Calculate the remainder when x is divided by h.
11
Let f(v) = 6*v - 15. Let x(j) = -j + 11. Let t be x(5). What is the remainder when 36 is divided by f(t)?
15
Suppose 297*z - 298*z = 10. Let v(o) = -4*o. Let d be v(3). Calculate the remainder when 10 is divided by (d/(-5))/((-4)/z).
4
Let t = -581 - -587. What is the remainder when 68 is divided by t?
2
Let t(k) = -k**3 + 3*k**2 + 10*k. Let d(c) = 5*c**3 - 14*c**2 - 49*c. Let j(b) = -2*d(b) - 11*t(b). What is the remainder when 25 is divided by j(7)?
11
Suppose 2*y + 3 = -b + 4, b + 3*y = 1. What is the remainder when (11/(-44))/(b/(-124)) is divided by 11?
9
Suppose -5*h = -h - 8. Suppose -3*t + 117 = 3*n, h*n - n + 141 = 4*t. What is the remainder when 46 is divided by 567/t + 1/4?
14
Suppose 30 = 8*m - 618. What is the remainder when m is divided by 44?
37
Suppose 0 = 2*n + 2*y - 20, 4*y - 16 = -3*n + 17. Let p(a) = -a + 5. Let g(u) = -8*u**2 + 1. Let c be g(-1). What is the remainder when p(c) is divided by n?
5
Let q = -7 - 7. What is the remainder when 21 is divided by ((-24)/q)/(18/126)?
9
Suppose -3*b + 2*n = b + 100, 3*b - 3*n + 81 = 0. Let g = b - -46. Calculate the remainder when g is divided by 13.
10
Suppose -f + 42 = 3*v, 30 = -4*v + 2*f + 86. What is the remainder when 139 is divided by v?
13
Suppose 5*l - 40 = -2*c, 0 = -3*c + 2*l + 75 + 23. Suppose 0 = -11*f + 8*f + c. What is the remainder when 38 is divided by f?
8
Let r(f) = f**3 + 12*f**2 - 4*f + 2. What is the remainder when r(-4) is divided by 15?
11
Suppose 0 = -5*m - 5*x + 925, m + 27*x = 31*x + 175. What is the remainder when m is divided by 32?
23
Suppose 7*b = 4*b - 30. Let m = 18 + b. What is the remainder when (10/(-6))/((-1)/9) is divided by m?
7
Suppose 3038*k - 3029*k - 9054 = 0. Calculate the remainder when k is divided by 53.
52
Let p = 30 + -30. Suppose -5*y - 2*r + 35 + 1 = p, -5*r = y + 2. What is the remainder when 14 is divided by y?
6
Let d be 107/7 + -2 - 56/196. Suppose -81 = 10*t - d*t. Calculate the remainder when t is divided by 7.
6
Let s(m) = -m**3 - 23*m**2 + 11*m - 216. What is the remainder when s(-24) is divided by 35?
26
Let r = 1857 - 1774. What is the remainder when r is divided by 32?
19
Suppose -3*z = 2*u - 12, -5*u + 12 = -3*u + 4*z. Let g = -167 + 177. Calculate the remainder when g is divided by u.
4
Suppose -2355 = -139*k + 842. Suppose -3*l 