e 3*d - 13 = -2*w + 4*d, 3*w = 5*d + 37. Let n(y) = 0*y**2 - w*y**2 + 7*y + 2*y**2 + y**2. Calculate the remainder when 47 is divided by n(4).
11
Let k(b) = -b**2 + 5*b + 14. Let q be k(7). Suppose q = -8*a + 13*a - 80. What is the remainder when 29 is divided by a?
13
Suppose -77*b = -82*b + 60. Calculate the remainder when 33 is divided by b.
9
Suppose 0 = 2*d - 4 - 34. Suppose 0 = -l + 1, 4*l = -b - l + d. Let z = 119 - 52. What is the remainder when z is divided by b?
11
Let n = 22 + -22. Suppose t + 3 = 5*f + 44, -4*f - 12 = n. Let o = t + -21. Calculate the remainder when 22 is divided by o.
2
Let u(l) = l**3 - 25*l**2 + 35*l + 33. What is the remainder when u(24) is divided by 25?
22
Let z(v) = 7*v + 47. Let b(n) = n + 20. Let o be b(-26). Suppose 9*d - 43 = -4*s + 4*d, -2*s + 5*d = -59. What is the remainder when s is divided by z(o)?
2
Let o be 238/2*6/21. Let x = o - 30. What is the remainder when 11 is divided by x?
3
Let q = -55 + 12. Let l = -25 - q. What is the remainder when 71 is divided by l?
17
Let t(c) = -31. Let g(o) = o - 93. Let w(d) = 3*g(d) - 8*t(d). What is the remainder when 100 is divided by w(16)?
15
Suppose -1195*a = -1184*a - 759. What is the remainder when 274 is divided by a?
67
Let h = -20 - -21. Let q(b) = 50*b**2. Calculate the remainder when 94 is divided by q(h).
44
What is the remainder when 435 is divided by (1 + (-2)/1)*(-7 + -16)?
21
Let x = 200 + -167. Calculate the remainder when x is divided by 13.
7
Let u(z) = -z**2 + 5. Let i be u(3). Let c(l) = 2*l**3 + 5*l**2 - 3*l - 6. Let v be c(i). What is the remainder when 18 is divided by v/2*(-2)/6?
4
Suppose 521 = 21*v - 4162 + 630. Calculate the remainder when v is divided by 394/10 + (-2)/5.
37
Let n = 3061 - 3030. What is the remainder when n is divided by 2 + (0 - (-6)/3)?
3
Suppose -2*o - 45 = -3*o - 4*n, -5*n + 142 = 3*o. Suppose 4*l - 15 - 68 = -3*b, -b - l + 28 = 0. Let y = b + o. What is the remainder when y is divided by 20?
18
Suppose 4*l = -4*a + 180, l + 13 - 54 = -3*a. Calculate the remainder when l is divided by 17.
13
Let t be (3 - (-1 - 1))/1. Suppose -16 = a - 5*a, t*v = -4*a + 21. Calculate the remainder when ((-2)/(-5))/(1/5) is divided by v.
0
Let m = 36 + -9. Suppose -7*i + 16 = -5*i. Calculate the remainder when m is divided by i.
3
Suppose 2*n - 7*n - 2*a + 899 = 0, -5*a = -n + 196. Suppose -n = -4*u - v, -5*u + 176 = v - 50. What is the remainder when u is divided by 12?
9
Calculate the remainder when (19 + 16)/7*(-314)/(-10) is divided by 147.
10
Let w(g) = -g**3 - g**2 + 5*g + 2. Suppose 10*q - 18 - 32 = 0. Suppose 18*o - 221 = q*o. What is the remainder when o is divided by w(-3)?
2
Let i(a) = -95*a - 45. Let s be i(6). Suppose 72 = 5*o + 12. Calculate the remainder when s/(-18) - (-2)/(-12) is divided by o.
10
Let h = 17 + -13. Suppose 0 = -3*o + 3, 5*u + o + 15 = -h*o. Let i = 7 - u. Calculate the remainder when 29 is divided by i.
7
Let g(r) = r**2 + 4*r + 2. Suppose -x - l = 9, -2 = 3*x - 2*l - 0. Calculate the remainder when 5 is divided by g(x).
1
Let w = 299 + -272. What is the remainder when 239 is divided by w?
23
Let r = 2656 + -2641. Let z = -50 + 90. What is the remainder when z is divided by r?
10
Suppose 2*w - 40 = 5*b, 3*b = 5*w - 3*w - 32. What is the remainder when 107 is divided by w?
7
What is the remainder when 2/7*(-7 + 7 + 259) is divided by 13?
9
Let w(j) = j**3 + 18*j**2 + 16*j + 1. What is the remainder when 32 is divided by w(-17)?
14
Let j = 640 - 627. Calculate the remainder when 36 is divided by j.
10
Suppose a + 2*a - 174 = 0. Suppose 0 = 78*u - 82*u + 120. Calculate the remainder when a is divided by u.
28
Let u = -1338 + 1345. What is the remainder when 83/2 + 2/(-4) is divided by u?
6
Suppose 0 = -5*a + 7*a + 92. Let x = 68 + a. What is the remainder when 88 - 7 - 24/(-6) is divided by x?
19
Suppose 2*d - 4*d + 3*w - 20 = 0, 16 = d + 5*w. What is the remainder when 51 is divided by 4/(-1) - d - -18?
15
Let m = 281 + -113. What is the remainder when m is divided by 24?
0
Suppose -15*l - v + 82 = -10*l, 0 = l + 3*v - 22. Suppose 211 = 3*k + 5*f, -k = -0*k + f - 67. Calculate the remainder when k is divided by l.
14
Let w(s) = 7*s**2 + 39*s - 3. Suppose 4*d + 4*b = 296, 3*b = 5*d - 0*d - 362. Calculate the remainder when d is divided by w(-6).
13
Suppose 0 = 5*z + 5*k, -5*k - 2 = -22. Suppose 4*v - 14 = -v + 2*l, 3*l - 2 = -4*v. What is the remainder when 36/15 + z/10 is divided by v?
0
Suppose -119 = -9*n + 448. What is the remainder when n is divided by 22?
19
Let z(g) = g**2 + 12*g + 46. Calculate the remainder when 68 is divided by z(-8).
12
Suppose 3*s - s + 2*p = 2, 0 = s - 4*p + 4. Let f(a) = a**2 + 3*a + 66. What is the remainder when f(s) is divided by 23?
20
Let j(l) = -l**2 - 24. Let g be j(0). Let s = 63 + g. What is the remainder when s is divided by 14?
11
Let u = -27 + 17. Suppose 49 = g + 5*l, -5*l + 3*l - 2 = 0. What is the remainder when g is divided by (-155)/u - (-9)/(-6)?
12
Suppose 5*y + 543*a - 2 = 542*a, -4*y + 2*a + 10 = 0. Suppose 2*o = -5*u - 4, -2*o - o - 4*u + 8 = 0. Calculate the remainder when o is divided by y.
0
Let r = 2060 + -1788. What is the remainder when r is divided by 89?
5
Suppose 5*f - 2*q = 212, 0 = f + 5*q - 36 - 1. Calculate the remainder when 78 is divided by f.
36
Suppose 2*n + 3*z - 50 = 0, 2*n + 43 = 5*z + 61. Let l(r) = -r + 8. Calculate the remainder when n is divided by l(4).
3
Suppose -2*c - 9 = -5*c, 3*y + 15 = 2*c. Let l = y - -11. What is the remainder when 39 is divided by l?
7
Suppose 6*m - 3*m = 5*n - 142, -m = 2*n + 62. Let y = m + 79. Calculate the remainder when y is divided by (-6)/(-21) + (-94)/(-14).
4
Suppose -2*g + 25 = -5*t, 3*g = 5*t + 6*g. Let x be (7 + (t - -2))/1. Suppose x + 4 = u. Calculate the remainder when 18 is divided by u.
8
Let y(b) = b**3 + 18*b**2 - 46*b - 66. What is the remainder when 696 is divided by y(-20)?
48
Let m(c) = c**2 - c + 2. Let t be m(2). Suppose 0 = -3*g + t*g + 14. Let h = g - -30. What is the remainder when h is divided by 9?
7
Suppose -s + 5*q + 32 = 0, -3*q - 77 = -4*s - 0*q. Let x(d) = -3*d**3 - 13*d**2 + 9*d - 26. Calculate the remainder when x(-6) is divided by s.
15
Suppose 5*b = 3*t - 15, -7*t + 2*b + 6 = -3*t. Suppose 11*u - 577 - 259 = t. What is the remainder when u is divided by 16?
12
Let s be 586/6 + (-8)/12. Let h = s - 72. Calculate the remainder when 39 is divided by h.
14
Suppose 0*c = -2*k + c + 109, -5*k + 5*c = -285. Suppose 3 = 5*p - k. Calculate the remainder when 62 is divided by p.
7
Suppose 19*u + 2*z + 26 = 20*u, -z = 4*u - 113. Calculate the remainder when 468 is divided by u.
20
Suppose 0*q + 3*q + 349 = -p, 0 = 3*q - p + 341. Let h = -80 - q. Suppose 25*a = 6*a + 228. What is the remainder when h is divided by a?
11
Suppose 0 = 2*q - v - 37, -2*v - 4 = q - 20. Calculate the remainder when 26 is divided by q.
8
Suppose -4*m = j - 12 + 3, 18 = 5*m - j. Let q be 1 - 16/(2 + 0). What is the remainder when -3 - 1 - (q + -2) is divided by m?
2
Let z = -151 - -171. What is the remainder when 7 is divided by (-12)/(-20) - (-3 + 52/z)?
0
Suppose 3*r = -5*f + 36, 3*f - 9*r + 10*r = 24. Calculate the remainder when 24 is divided by f.
6
Suppose u + 482 = 3*f + 2*u, -2*f = -u - 318. Suppose 3 - 46 = -w - 5*d, 0 = 4*w - 5*d - 47. What is the remainder when f is divided by w?
16
Suppose -4*z + 0*z = -252. Let d = z - 37. Suppose -4*s - 5*t = -0*t - d, -5*t = 3*s - 17. What is the remainder when 12 is divided by s?
3
Suppose -14*b + q - 39 = -15*b, 5*q = 5*b - 245. Calculate the remainder when 282 is divided by b.
18
Suppose 8*x - 195 - 525 = 0. What is the remainder when x is divided by 26?
12
Let f(a) = 2*a + 26. What is the remainder when f(34) is divided by 5?
4
Let h = 228 + -203. Calculate the remainder when 138 is divided by h.
13
Suppose 0 = 4*b + 4*x - 48, 2*b = 2*x + 30 + 2. Let m(t) = -21*t + 2. What is the remainder when m(-1) is divided by b?
9
Let w(s) = 76*s**3 + 1. Suppose c + 4 = 3*j - 1, -3*c + j = -33. What is the remainder when w(1) is divided by c?
12
Suppose -2*d = -f + 58, -4*d = 5*f - 3*d - 246. Let o = 2 + f. Calculate the remainder when 309 is divided by o.
49
Let q = -629 + 849. What is the remainder when q is divided by 43?
5
Let p be (4/(-6))/(-1) + 