14). Calculate the remainder when ((-2)/(-3))/(16/1128) is divided by (-3)/k - (-35)/3.
11
Let t = -5 - -8. Suppose 0 = 4*q + 8, -2*v - t*v - 5*q = -175. Let y = 30 - 17. What is the remainder when v is divided by y?
11
Let y(l) = -l**2 - 11*l + 9. Suppose -g = -3 + 1. Suppose -g*r - 17 - 1 = 0. Calculate the remainder when y(r) is divided by 14.
13
Suppose 4*n = -0*n + 236. What is the remainder when n is divided by 15?
14
Suppose t + 3*a + 21 = 0, 7 = -t - t + a. Calculate the remainder when 16 is divided by (-43)/(-5) - t/15.
7
Suppose -8 = -2*k, -3*k - 2 = -4*g + 2. Suppose 15 + 10 = -5*r, g*r - 36 = -4*d. Calculate the remainder when d is divided by 4.
2
Suppose 77 = z + z + 5*o, -3*z + 108 = 5*o. What is the remainder when z is divided by 8?
7
Let o be 123/11 + 8/(-44). Calculate the remainder when -1 + 1 + (o - 4) is divided by 4.
3
Let f = 34 - 0. What is the remainder when 135 is divided by f?
33
What is the remainder when 32 is divided by 3/(5 - -1)*22?
10
What is the remainder when 91 is divided by 4/(-12)*(3 - 72)?
22
Let g(u) = -23*u**3 - 2*u**2 - 2*u - 1. What is the remainder when g(-1) is divided by (0 - 3)/(3/(-8))?
6
Suppose -5*y - 3*x = -130, -y + 18 = -0*y - x. Calculate the remainder when 85 is divided by y.
16
Suppose 2*j + 0 - 2 = 0. Let g = j + 2. What is the remainder when g is divided by ((-1 - 0)*-2)/1?
1
Let y = 9 + 14. Suppose 2*j + 39 = 5*j. What is the remainder when y is divided by j?
10
Let n be 6*-1 - (-3 + 6). Calculate the remainder when 23 is divided by (12/n - -2)*9.
5
Suppose -2*z + 9 + 244 = 3*r, -625 = -5*z - 5*r. Calculate the remainder when z is divided by 41.
40
Let i(n) = -13*n**3 + n**2. Calculate the remainder when 55 is divided by i(-1).
13
Let w = -6 - -10. Suppose 4*x - 5*z - 28 = -0*x, 0 = 4*x + 2*z. Let j(f) = f**3 - 2*f**2 + f. Calculate the remainder when w is divided by j(x).
0
Let z(a) = 4*a + 8. What is the remainder when z(6) is divided by (117/7)/1 - 22/(-77)?
15
Let i(q) = q**3 + 3. Let j be i(0). Suppose 0 = -5*t + 4*x + 195, -j*t - x + 130 = -4. Calculate the remainder when t is divided by 15.
13
Suppose -5*t = 5*p - 50, -p + t = 5*t - 25. What is the remainder when 17 is divided by p?
2
Suppose 5*d + 4 = d, -3*a - d = -11. Let w(f) = f**2 + 5*f + 4. Let s be w(-5). Suppose -2*n - 4 = -s*n. Calculate the remainder when a is divided by n.
0
Suppose 0 = -8*i + 3*i + 25. Let k be -3 + (-2)/(-3)*27. Suppose -v + k = 4*v. Calculate the remainder when i is divided by v.
2
Let o = 15 + -9. Suppose 2*n = -4*m - 20, o*n = 4*n + 5*m + 25. Suppose n = -3*u - 9, -3*u - 51 = -v - 4*u. What is the remainder when v is divided by 14?
12
Suppose -x + 19 = -27. Suppose 5*d - 40 = -5*z, 2*z - x = -5*d - 0*z. What is the remainder when 2*(0 + -1) + 31 is divided by d?
9
Let k be 17/5 - (-4)/(-10). Suppose -80 = -v - k*v. Suppose 0 = -6*l + l + v. Calculate the remainder when l is divided by 2.
0
Let p = -5 + 7. Suppose p*l - 18 - 146 = 0. Suppose -5*d + 4*i + 12 + l = 0, 2*d = 4*i + 28. What is the remainder when d is divided by 8?
6
Calculate the remainder when 3*(-8)/12 - -16 is divided by 5*(3 + -2 + 0).
4
Suppose 76 = -4*o + 5*o + 5*z, 3*o - 264 = 3*z. What is the remainder when o is divided by 11?
9
Suppose 3*v = 29 + 118. What is the remainder when v is divided by 13?
10
Suppose 0 = -6*r + 11 + 61. What is the remainder when r is divided by 7?
5
Let l(r) = 11*r + 2. Calculate the remainder when 207*(-2 - 14/(-6)) is divided by l(2).
21
Suppose 6*z - z = -4*w - 21, 4*z - 5*w - 16 = 0. Let p = z - -3. Calculate the remainder when p is divided by 1.
0
Let l(b) = -b**2 + 11*b + 3. Calculate the remainder when 6 is divided by l(11).
0
Let b(h) = h**3 + 15*h**2 - 44*h - 29. Calculate the remainder when b(-17) is divided by 18.
15
Let p(d) = -d**2 + 4*d + 2. Let t(i) = i - 2. Let w be t(6). Calculate the remainder when p(w) is divided by 210/(-84)*(12/(-10))/3.
0
Let d(r) = -r**3 + 5*r**2 + 7*r - 5. Calculate the remainder when (-5)/(-2)*16/20 is divided by d(6).
0
Let g(y) = -y**3 - 6*y**2 - 7*y - 6. Let d be g(-5). Suppose -3*a - 3 = 0, n + d*n = -5*a + 200. What is the remainder when n is divided by 22?
19
Suppose -138 = -5*i - 23. Suppose n = -2*c + 22, -5*c + 2*n = -31 - 42. What is the remainder when i is divided by c?
10
Suppose -h - 33 = -2*h. Suppose 2*l = 3*b - 11, b + 10 + 3 = 4*l. Calculate the remainder when h is divided by b.
5
Suppose -4*h = 7 - 15. What is the remainder when 9 is divided by h?
1
Let h(o) = -o**3 - 7*o**2 - o - 4. Let s be h(-7). Let m(t) = 3*t**2 + 2*t + 1. What is the remainder when m(s) is divided by 12?
10
Suppose 0*q = -2*q + 54. Calculate the remainder when q is divided by (6/8)/((-12)/(-160)).
7
Calculate the remainder when 2 + (27 - (-1 + -1)) is divided by 17.
14
Let m be (1 + -2)*6/6. Let u be 211 + 0 + (m - 0). Suppose 5*p - u = 4*t, p = -t + 1 + 32. What is the remainder when p is divided by 20?
18
Suppose -2*x + 0 = -2. Let a(f) = 17*f**2 - x + 13*f**2 + 5*f**2. Calculate the remainder when a(1) is divided by 18.
16
Let t be (-3)/((-9)/6*1). Suppose -t*j = 4 - 14. Suppose q + 3*g - 24 = 0, 3*g - 4*g = j*q - 64. What is the remainder when 21 is divided by q?
9
Let x(n) = 5*n - 18. What is the remainder when x(13) is divided by 12?
11
Suppose -4*l + 224 = 4*c, -4*c + 6*l + 188 = l. Calculate the remainder when c is divided by 27.
25
Let q(y) = 12*y - 1. Let t be q(5). Suppose 4*b = t + 53. Calculate the remainder when b is divided by 10.
8
Let i = 31 - 7. Calculate the remainder when 71 is divided by i.
23
Suppose -52 = -19*q + 6*q. Calculate the remainder when 53 is divided by q.
1
Suppose 3*o - 18 = 4*b, 3*b + 7 = -0*o - o. What is the remainder when 70/b*(-6)/4 is divided by 18?
17
What is the remainder when 6/(-8) - (-2 + 143/(-4)) is divided by 23?
14
Let x = 48 - 29. Calculate the remainder when 37 is divided by x.
18
Suppose p + p + 2*r = 10, 0 = -2*p + 3*r + 20. Suppose 2*l - 3*l = 5*y + 2, l - 4*y = p. Suppose -2 + l = u. What is the remainder when u is divided by 1?
0
Let k = -3 - -4. Suppose k = g - 3. What is the remainder when 15 is divided by g?
3
Let a = 1 - -24. Let h = 38 - 24. Calculate the remainder when a is divided by h.
11
Let d be 0/(2*1/2). Suppose 0 = -d*k - 2*k + 140. Calculate the remainder when k is divided by 24.
22
Let h(i) = -2*i**3 - i**2 + 7*i - 3. Calculate the remainder when h(-4) is divided by 42.
39
Let d = -5 + 11. Let u(k) = -k**3 + 7*k**2 - 5*k - 4. Let t be u(6). Calculate the remainder when (4/6)/(t/33) is divided by d.
5
Let p(s) = -s + 29. Let f(j) = -j**2 + 9*j. Let a be f(9). What is the remainder when p(a) is divided by 15?
14
Calculate the remainder when ((-555)/(-9) - -4)*3 is divided by 20.
17
What is the remainder when 17 is divided by 12*((-18)/(-20) + (-24)/60)?
5
Let t(i) = i - 5. Calculate the remainder when t(7) is divided by (1/(-2))/(18/(-36)).
0
Suppose h + 5 = 36. Let i(f) = -3*f - 1. What is the remainder when h is divided by i(-3)?
7
Let a = -10 - -16. What is the remainder when a is divided by 2?
0
Let m = -213 + 224. Calculate the remainder when m is divided by 11.
0
Let x be 3/(-3*(-3)/6). Suppose 2*j - x - 13 = -q, 0 = q + j - 17. What is the remainder when q is divided by 10?
9
Let p = 604 - 304. Calculate the remainder when p is divided by 43.
42
Let p(m) = -10*m - 9. Let k(n) = -3*n - 3. Let c(v) = -7*k(v) + 2*p(v). Calculate the remainder when c(12) is divided by 8.
7
Suppose 110 = 5*u + 50. Calculate the remainder when 16 is divided by u.
4
Let h = 33 - 11. Let k = -58 - -100. Calculate the remainder when k is divided by h.
20
Let u = 9 - 12. Calculate the remainder when (93/2)/(u/(-4)) is divided by 16.
14
Let q be 28/8 + 2/4. Suppose q*b = 10 + 18. Calculate the remainder when b is divided by 3.
1
Let q(x) = 4*x - 9. Let n = 50 + 38. What is the remainder when ((-3)/1)/((-6)/n) is divided by q(6)?
14
Let j(r) = -11*r**3 - 2*r**2 - 2. Suppose 4 + 0 = 4*d, 3*d - 13 = 5*b. Let m be j(b). Let a = m + -46. What is the remainder when a is divided by 11?
10
Let b = 350 - 312. Suppose 40 = 5*m - 2*c, 3*c = -2*m + 2*c + 25. Calculate the remainder when b is divided by m.
8
Let b(n) = -5*n - 4. Suppose -3*k + 0*k = c + 12, -2*c = k + 9. Calculate the remainder when 20 is divided by b(c).
9
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