(a) = a - 6. Let f be r(4). Let i = 32 + f. What is the remainder when i is divided by 11?
8
Let q(n) = -n - 6. Let v(x) = x**3 - 2*x**2 + 2*x - 1. Let t be v(1). Let r be q(t). Calculate the remainder when (-3)/r*2 - -6 is divided by 3.
1
Calculate the remainder when 78 is divided by 319/8 - (-3)/24.
38
Let p(y) = -y**3 - 6*y**2 - 6*y + 1. Suppose 0*h + 68 = 4*h + 2*q, 5*h - 86 = -3*q. Calculate the remainder when h is divided by p(-5).
4
Let v be 4*1/8*2. Let l(z) = 8*z**3 - z**2 + 1. Suppose 2*q + 4 = 0, -2*y + 0*y + 36 = 5*q. Calculate the remainder when y is divided by l(v).
7
Suppose 4*a - 2*c + c = 49, 5*c - 2 = a. Calculate the remainder when 25 is divided by a.
12
Let p(r) = -r**2 + 7*r - 9. Let z be p(6). Let i = 1 - z. Calculate the remainder when 11 is divided by i.
3
Let d = 0 + 5. Calculate the remainder when 19 is divided by d.
4
Let p be 2/1 + 242*2. What is the remainder when p/24 - (-1)/(-4) is divided by 7*-1*(2 - 3)?
6
Suppose -5*j - 145 + 28 = -2*w, 3*w - 5*j = 163. What is the remainder when w is divided by 16?
14
Suppose 4*q - 3*g - 21 = 0, 5*q + 3*g = 19 + 41. Suppose -2 = -2*r + 4*u - 0, -4*r = -u - 11. What is the remainder when q is divided by r?
0
Suppose -2*c - 2*p = c - 25, 3*c - 2*p = 5. Suppose 32 = 2*g + 2*g + z, c*g - 5*z = 40. Let u = -22 - -37. What is the remainder when u is divided by g?
7
Let y(v) = v - 3 + 7 + 0. Calculate the remainder when 22 is divided by y(4).
6
Let t(h) = -74*h + 20. Let d(f) = 15*f - 4. Let y(g) = 11*d(g) + 2*t(g). Suppose -80 = -8*q + 3*q. Calculate the remainder when y(3) is divided by q.
15
Suppose 57 + 3 = 3*d. Suppose 2*c = -c + 33. What is the remainder when d is divided by c?
9
Let j(x) = 5*x**2 - x + 3. What is the remainder when 39 is divided by j(1)?
4
Let w(p) = -p + 2. Calculate the remainder when w(0) is divided by 2.
0
Suppose -v - v = -6. Suppose 0 = -4*d, -3*t + v*d - 2 = -23. Suppose -3*n = -t*n + 8. What is the remainder when n is divided by 2?
0
Let z(w) = -47*w**3 - 2*w**2 - w. Calculate the remainder when z(-1) is divided by 12.
10
Suppose 0 = 5*b + 2*l + l - 74, 0 = -5*l + 15. Suppose 51 = -4*c - 33. Let q = c + 45. What is the remainder when q is divided by b?
11
Let p(c) = -c**3 + 10*c**2 - 6*c - 9. What is the remainder when p(8) is divided by 18?
17
Suppose 52 = 4*r + 3*l, 4*r - 4*l = 29 - 5. Calculate the remainder when 35 is divided by r.
5
Let x(d) = d**3 - 8*d**2 + 9*d - 8. Let j(l) = -l. Let y be -2 - (0 - 2*-1). Calculate the remainder when x(7) is divided by j(y).
2
Let n = 65 - 25. Let h be (3 - (1 - -2))*-1. Suppose -70 = -5*c - h*c. Calculate the remainder when n is divided by c.
12
Suppose 2*k + 0*k = 4. Suppose 3*s + 3*a = 27, k*s + 3*a - 11 = 11. What is the remainder when s is divided by 3 + 0/(-1)*1?
2
Let o(m) = 8*m**3 + m**2 + 1. What is the remainder when 29 is divided by o(1)?
9
Let n = 156 + -106. Suppose 0 = 3*s + 2 - 80. What is the remainder when n is divided by s?
24
Suppose 2*f = 4*f - 3*b + 35, -5*f - 55 = -b. What is the remainder when (-203)/(-5) - 4/f is divided by 21?
20
Suppose -2*v = v + 2*t - 85, 2*t = -5*v + 143. Let w = 38 - 25. Calculate the remainder when v is divided by w - (0 + 0 + -2).
14
Let q = 16 + 2. Let g = 11 - 7. Calculate the remainder when (-426)/(-8) + (-1)/g is divided by q.
17
Let g(s) = -2*s**3 - 10*s**2 - s + 5. Calculate the remainder when 35 is divided by g(-5).
5
Suppose 0*k - 8 = 4*k. Calculate the remainder when 2/k + 0 + 36 is divided by 18.
17
Suppose 0 = 5*i - 19*i + 728. Calculate the remainder when i is divided by 6.
4
Suppose 4*s - 451 - 598 = 3*f, -4*s + 4*f = -1052. Suppose -b + s = 4*b. Let d = 44 - 26. What is the remainder when b is divided by d?
16
Suppose 3*t - 25 - 5 = 0. What is the remainder when (116/(-10))/((-26)/65) is divided by t?
9
Suppose 14 + 20 = -2*v. Let o = 29 + v. Calculate the remainder when 34 is divided by o.
10
Suppose 2*p + 54 = f, 13 = 4*f - 2*p - 203. What is the remainder when f is divided by 19?
16
Let n be -2 + 2 - (4 + -4). Let m(z) = z + 113. What is the remainder when m(n) is divided by 29?
26
Let u(d) = -2*d**3 - 15*d**2 + 13*d - 1. Suppose -2*g + 5*x + 64 = 0, 0 = 4*g + 3*x - 93 - 35. Calculate the remainder when u(-9) is divided by g.
29
Let u(z) = -z**2 - z + 1. Let p(h) = 4*h**2 - 2*h + 2. Let i(f) = p(f) + 5*u(f). Calculate the remainder when 49 is divided by i(-5).
15
Let m(j) = -9*j - 2. Let d = -4 + 9. Suppose d*y + 4 = 2*h, -5*y + 41 = 4*h - 27. What is the remainder when m(-4) is divided by h?
10
Let b(f) = f**2 - 6*f + 5. Calculate the remainder when b(8) is divided by (32/(-12) + -1)*-3.
10
Let z = 173 + -156. What is the remainder when z is divided by 6?
5
Suppose 5*x + 79 - 9 = 0. What is the remainder when (-248)/(-5) + x/(-35) is divided by 17?
16
Let l = -11 + 9. Let w(o) = -5*o - 2. What is the remainder when 21 is divided by w(l)?
5
Suppose 7*s - 13 = 6*s. Suppose 14 = 2*h - 36. Suppose 0 = y - h. What is the remainder when y is divided by s?
12
Suppose -c = -3*s + 5*s - 23, 5*c - 143 = 4*s. Let j = -17 + c. What is the remainder when 18 is divided by j?
8
Let s(c) = -3*c**2 + 3*c - c + 2*c + c**3 + 1. Let d be (-2 - (-15)/6)*6. Calculate the remainder when 37 is divided by s(d).
11
Suppose 2*o = 4*y - 2*y + 8, 0 = 2*o + 4*y - 14. Suppose u - 2*i + 14 = 2*u, 5*u - 85 = -o*i. What is the remainder when 59 is divided by u?
19
Let c(u) = 2*u**2 - 3*u**2 - 18*u**3 + u**3 - u**3. Calculate the remainder when 32 is divided by c(-1).
15
Let o(i) = -i + 31. What is the remainder when o(0) is divided by 8?
7
Let b = -31 - -34. What is the remainder when 9 is divided by b?
0
Suppose -c + 4 = 0, c = -2*z + 42 - 4. What is the remainder when 84 is divided by z?
16
Calculate the remainder when (2 + -2 - 1)*84*-1 is divided by 29.
26
Let s(c) = -c + 4. Let t be s(5). Let x = 5 + t. What is the remainder when 15 is divided by x?
3
Calculate the remainder when (19/(-3))/(-1 - 17/(-18)) is divided by 29.
27
Suppose 5*d + 35 + 30 = 0. Let x = d - -25. What is the remainder when 33 is divided by x?
9
Suppose x - 2*f - 29 = f, 39 = 3*x + 3*f. Calculate the remainder when x is divided by 9.
8
Let u = 6 + -3. Suppose 3*h - 18 = -u*n - h, 4*h - 4 = 4*n. What is the remainder when 2/8 + 11/4 is divided by n?
1
Suppose 4*m = h + 2*h + 97, -2*m - 4*h + 32 = 0. Calculate the remainder when m is divided by 6.
4
Let z(p) = -p - 1. Suppose 1 = -4*g - 15. Let r be z(g). Suppose 0 = -r*x + 22 + 23. What is the remainder when 42 is divided by x?
12
Let z = 1 + -5. Let l(k) = -3*k + 4. What is the remainder when l(z) is divided by 9?
7
Let j(y) = -y - 27. Let p be j(-11). Calculate the remainder when 15 is divided by p/(-10)*25/10.
3
Let c = -5 - -17. What is the remainder when 47 is divided by c?
11
Suppose -13*w + 14*w = 8. Let x = -11 + 26. Suppose -2*o + 3*o = x. What is the remainder when o is divided by w?
7
Calculate the remainder when 38 is divided by (20/7)/((72/(-28))/(-9)).
8
Suppose 0*g - g + 16 = 0. Suppose -3*r - s = r - 113, 3*r + 2*s = 81. What is the remainder when r is divided by g?
13
Suppose 4*n - 8 = 0, -2*n + 2 = 4*t - 42. Calculate the remainder when (-286)/(-10) - 10/(-25) is divided by t.
9
Let f(i) = i**2 - 6*i - 11. What is the remainder when 24 is divided by f(8)?
4
Suppose 5*v = -a - 3*a, 3*a - 2*v - 23 = 0. Calculate the remainder when 4/10 + (-1044)/(-90) is divided by a.
2
Suppose -4*l - 4*c - 17 = -41, 4*l - 24 = -3*c. Calculate the remainder when 22 is divided by l.
4
Let f be (-2656)/(-24) + 2/6. Suppose 3*s - f = -18. Calculate the remainder when s is divided by 16.
15
Let w be (6/4)/(1/2). Suppose -w*t - 15 = -8*t. Calculate the remainder when 3 is divided by t.
0
Suppose 5*j - 18 = 22. Suppose -j = -3*a + 10. Calculate the remainder when a is divided by 3.
0
Let b = -15 - 1. Let j = -5 - b. What is the remainder when 43 is divided by j?
10
Let f(y) = -y**3 + 9*y**2 - 5*y - 8. Let z = 27 - 21. Calculate the remainder when f(z) is divided by 18.
16
Let n(h) = 2*h**2 + 1. Let y be 117/(-27) + 2/(-3). Calculate the remainder when 138/4 - y/(-10) is divided by n(-2).
7
Suppose -a - 164 = -5*a. What is the remainder when a is divided by 10 - (0 + 1 + -2)?
8
Suppose -15 - 60 = -3*a. Calculate the remainder when 97 is divided by a.
22
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