*a + 2*f + 2*f - 30 = 0. What is the remainder when 45 is divided by a?
20
Suppose 0 = -0*t - 5*t. Let n(c) = -1 + 2*c + 5*c + t. Calculate the remainder when 24 is divided by n(2).
11
Let u be 2 - ((-3)/(-1) - (-5 + 114)). Suppose -15*y = -19*y + u. What is the remainder when y is divided by 11?
5
Let a(m) = 1. Let y(b) = b**2 + 3*b + 3. Let s(c) = -a(c) + y(c). Suppose -2*z - 11 = -27. Calculate the remainder when s(4) is divided by z.
6
Suppose -7*b - 685 = -5*g - 5*b, -g - b + 144 = 0. Let n = 144 + g. Calculate the remainder when n is divided by 13.
10
Suppose 0 = -3*b + m + 113, 3*b + 3*m - m - 125 = 0. Let o = 5 + -4. Calculate the remainder when b is divided by o*2/(-1) + 16.
11
Suppose 11 = -8*r + 131. Calculate the remainder when 35 is divided by r.
5
Suppose 2*y + 16 = n, -y = -3*n + y + 32. What is the remainder when 8 is divided by 12/(-10)*(-20)/n?
2
Suppose 0*z = -6*z + 30. Let i = z - -49. Suppose -3*d = i - 141. Calculate the remainder when d is divided by 16.
13
Let b(v) be the third derivative of v**4/24 + 19*v**3/6 + 9*v**2. Calculate the remainder when b(-7) is divided by 5.
2
Let l be 3 - -39*(-1 + 2). Calculate the remainder when 35 is divided by ((-1)/(-3))/((1/l)/1).
7
Suppose -480*l + 478*l = -8. Calculate the remainder when 90 is divided by l.
2
Let o = -76 + 47. Let w = -70 - o. Let x = 79 + w. Calculate the remainder when x is divided by 20.
18
Suppose -2*x + 3*k = 5*k - 268, -4*x = 3*k - 540. Calculate the remainder when x is divided by 14.
12
Let w = -18 - -20. Suppose -x - x = -3*m + 18, -3*x - 12 = -w*m. Calculate the remainder when 29 is divided by m.
5
Suppose -5*g + 5*l + 1003 = -1787, 0 = -2*g - 4*l + 1134. Calculate the remainder when g is divided by 47.
44
Let m be -9 + 7 + 107/1. Suppose 0 = -5*n + m - 20. Let b(k) = -3*k**3 + 23*k**2 - 7*k - 16. What is the remainder when b(7) is divided by n?
16
Suppose -66 = -46*q + 40*q. Calculate the remainder when 34 is divided by q.
1
Suppose 7*o = 3*o + k + 76, o = -3*k + 19. Calculate the remainder when o is divided by (-4)/2 - (-10 - 0).
3
Suppose 2*p + 470 = -574. Let k = -359 - p. Calculate the remainder when k is divided by 33.
31
Suppose 39 - 9 = -3*h. Let t be 12/h*10/(-3). What is the remainder when 13 is divided by 1 - (2 + t)*-1?
6
Suppose -4*g = -z + 13 + 15, 4*g - 16 = 0. Calculate the remainder when z is divided by 42.
2
Let q(g) = -5*g + 25. Let v be q(5). Suppose 0*h - 17 = -h + r, v = r + 5. Calculate the remainder when 2*11*(-6)/(-4) is divided by h.
9
Let i(l) = 4*l**3 + 40*l**2 + 17*l - 2. Calculate the remainder when i(-9) is divided by 34.
33
Let t = 370 - 58. What is the remainder when 7 is divided by 80/13 + -1 + (-48)/t?
2
Suppose 3*b - 41 = -n, -15*n + 17*n + b - 92 = 0. Calculate the remainder when n is divided by 6.
5
Suppose 9800 = -25*z + 81*z. What is the remainder when z is divided by 47?
34
Let f = -88 + 180. Suppose 2*i - 46 = 4*s, i + 2*s - f = -3*i. What is the remainder when 181 is divided by i?
20
Suppose -6*f - 6 + 102 = 0. Let y(b) be the second derivative of 3*b**3/2 - 7*b**2/2 - b. Calculate the remainder when y(6) is divided by f.
15
Suppose -220 = -4*u - 3*h, h - 54 = -3*u + 2*u. What is the remainder when 231 is divided by u?
57
Suppose 3*f + 35 = 5*y - 2, 0 = -2*y - f + 6. Suppose -y*c + 27 = -2*c. Calculate the remainder when 43 is divided by c.
7
Suppose -4*l - 5*h + 32 = 0, -4*h = l - 2*l - 13. Let x be (-2 - -16)/2*(0 - -1). Suppose 2*a = x*a - 65. Calculate the remainder when a is divided by l.
1
Suppose 3*n + n - 740 = 0. Let t = n + -130. Calculate the remainder when t is divided by (3 - 32/6)*-6.
13
Suppose 14 = -l - l + 2*a, 2*a - 30 = 4*l. What is the remainder when (-9)/(-72) - 607/l is divided by 39?
37
Suppose -9 = -2*p + 67. Let q(d) = 6*d**2 + 6*d + 1. What is the remainder when q(-4) is divided by (-2 + -2)/((-4)/p)?
35
Let t(z) = 7*z + 14. Let y(b) = b. Let j(g) = -t(g) + 6*y(g). Suppose 2*f = 7*f + 80. Calculate the remainder when j(f) is divided by 2.
0
Let w = -122 + 160. What is the remainder when 529 is divided by w?
35
Suppose 8 = z + 4*o, -z - 14 = z + 2*o. Let m = z + 15. Suppose -r - c = -11, r - m*c - 20 = 3. Calculate the remainder when 39 is divided by r.
11
Let p be 26 + 3 + 2 + -5. Let g = p - 12. Suppose 2*w = -31 + 135. Calculate the remainder when w is divided by g.
10
Suppose -11*t = -13824 - 652. Calculate the remainder when t is divided by 165.
161
Suppose -61*g = -35*g - 1820. What is the remainder when 193 is divided by g?
53
Let b be ((-6)/(-4))/((-6)/(-16)). Let f(d) = -d + 9. Calculate the remainder when f(b) is divided by 5 + -2 + 0/(-5 - 0).
2
Let i(o) = -o**3 - o**2 + 6*o + 5. Calculate the remainder when 54 is divided by i(-3).
4
Let k(p) = 27*p**3 - 5*p**2 + 5*p + 6. Calculate the remainder when k(2) is divided by 36.
32
Let u = -196 + 301. Suppose -u = -3*s - 5*p, -p = -2*p - 3. Let f = s + -24. What is the remainder when 63 is divided by f?
15
Let j be 21/6*(4/(-7))/(-1). Suppose -66 = j*t - 5*t. Calculate the remainder when 85 is divided by t.
19
Let a = 44 - 12. What is the remainder when 157 is divided by a?
29
Let c(j) = -j**2 + 32*j + 28. Let t be c(23). Suppose -4*z + 89 + t = 0. What is the remainder when z is divided by 24?
9
Suppose 5*v = 3*k + 2*v - 18, v - 5 = 0. Calculate the remainder when 920 is divided by k.
7
Let z = -266 + 296. What is the remainder when 95 is divided by z?
5
Let k = 226 - 211. Calculate the remainder when 67 is divided by k.
7
Let w be (-2)/(-7) + (-410)/14. Let r = 79 + w. Calculate the remainder when r is divided by 14.
8
Suppose 208 = -3*o - o. Let b = -36 - o. Calculate the remainder when 4 + (4*1 - (-276)/12) is divided by b.
15
Suppose -f - 5*k = 80 - 155, f + 4*k - 79 = 0. Calculate the remainder when 379 is divided by f.
94
Suppose 5*g + b - 91 = 0, 17*g - 5*b = 19*g - 41. Calculate the remainder when g is divided by 14.
4
Let x(k) = -32*k + 108. Let m(b) = -11*b + 2. Calculate the remainder when m(-6) is divided by x(3).
8
Let u = -39 - -27. Let x(j) = -j**2 - 12*j - 11. Let f be x(u). Let m = f - -22. Calculate the remainder when 30 is divided by m.
8
Let r = -71 + 100. Suppose -u = -5*p - r, 5 = p + 1. Calculate the remainder when u is divided by 13.
10
Let x(b) be the first derivative of 3*b**2/2 - 20*b + 12. What is the remainder when x(8) is divided by 1?
0
Let j = 454 - 435. Calculate the remainder when 68 is divided by j.
11
Suppose -88 = -20*j + 252. What is the remainder when 24 is divided by j?
7
Suppose 125 = 3*r - 325. Suppose -11 = 5*n + 14, 0 = -2*u + 5*n + 203. Let w = r - u. Calculate the remainder when w is divided by 32.
29
Let p = 1281 + -1059. What is the remainder when p is divided by 32?
30
Let b(y) = 2*y**2 - 16. Calculate the remainder when b(-8) is divided by 57.
55
Let f = -1 - -10. Suppose -3*b = -3 - f. Suppose 0 = -57*a + 58*a - 2. Calculate the remainder when b is divided by a.
0
Calculate the remainder when 92/(-253) + (-3242)/(-22) is divided by 15.
12
Suppose -2*a = 1 - 45. Calculate the remainder when 145 is divided by a.
13
Let u(c) = 6*c**2 + 8 + c**3 + 3*c - 6*c + 3*c**2. Let t(o) = -4*o + 19. Let q be t(7). What is the remainder when u(q) is divided by 9?
8
Let h = -1388 - -1617. What is the remainder when h is divided by 54?
13
Calculate the remainder when 63 is divided by 3/18 - (-616)/48.
11
Let c = -476 + 706. Calculate the remainder when c is divided by 38.
2
What is the remainder when (-4 + -1 - (-2 + -135)) + -1 is divided by 27?
23
Suppose 250 = -5*g + 10*g. Let w = 3 + g. Calculate the remainder when w is divided by 28.
25
Suppose 8*l - 145 = 3*l - 5*b, -3*l + 97 = -2*b. What is the remainder when 176/3 - (-2)/6 is divided by l?
28
Suppose -3*b + 3*v = 2*v + 156, -4*v + 63 = -b. Calculate the remainder when 60 is divided by 4/(-12)*(b + 0/(-3)).
9
Suppose 0 = -4*n + n - 4*f + 22, 2*f - 26 = -4*n. Let v(p) = -4*p**2 + 2*p - 1 - 6*p + 4 + p**3. What is the remainder when v(n) is divided by 18?
15
Calculate the remainder when 33 is divided by -1 + 252/16 + 2/8.
3
Let x = -1761 - -2173. What is the remainder when x is divided by 22?
16
Let v(j) = j**2 + 24*j + 31. What is the remainder when 215 is divided by v(0)?
29
Let d be (3/(-9) - 1)*3. Calculate the remainder when (d + 0 - -