
8
Suppose 2*u - 6*u + x = -260, -2*u + 148 = 4*x. What is the remainder when u is divided by 23?
20
Suppose -10 = -0*c - 2*c. Suppose -3*r = -4*z + 31, 3*z + 0*z = c*r + 15. What is the remainder when 38 is divided by z?
8
Calculate the remainder when 24 is divided by (1 - -1) + -2 + 9.
6
Let w(r) = 11*r**2 - r + 2. Calculate the remainder when 45 is divided by w(1).
9
Let s be ((-66)/7)/(2/(-14)). Suppose 4*o - c - s = 2*c, 28 = 2*o + c. Calculate the remainder when 29 is divided by o.
14
Let v = 13 - 9. Suppose -5*a + 68 = -v*b, -4*b = -2*a + 3*a - 28. Suppose k + 123 = 4*h - 2*k, 4*k - 146 = -5*h. Calculate the remainder when h is divided by a.
14
Suppose 0 = 2*m + 8, -3*x - m - m = -1. What is the remainder when 66/(-9)*x/(-2) is divided by 6?
5
Suppose -8 = -2*v - 2. Calculate the remainder when 3 is divided by v.
0
Let p(f) = f**3 - 4*f**2 - 3*f + 9. Suppose 0 = -2*n + 2*c + 20, 0 = 4*n - c - 3 - 22. What is the remainder when p(n) is divided by 5?
4
Suppose 2*c = 9*p - 10*p + 5, 5*p - 33 = -2*c. Calculate the remainder when 17 is divided by p.
3
Let p(a) = -a**3 - 8*a**2 - 2*a - 2. Let x be p(-6). Let z = x - -93. Calculate the remainder when z is divided by 11.
9
Let j = 53 + -16. Suppose -5*n - 7 + j = 0. What is the remainder when n is divided by 5?
1
Let y = -27 - -44. What is the remainder when y is divided by 10?
7
Suppose 0 = -4*s + 50 + 6. Let t = 17 - s. Calculate the remainder when t is divided by 1.
0
Suppose 0 = -2*u - 5*x + 27, 4*x = 3*u + 2*u - 18. Suppose 3*l = l + u. Calculate the remainder when l is divided by 2.
1
Let b(f) = f**3 - 6*f**2 - 6*f + 2. Calculate the remainder when b(8) is divided by 17.
14
Suppose 4*u - 275 = -2*k - k, -u = 5*k - 430. Suppose -3 = -2*l + 1. Suppose -7*d = -l*d - k. Calculate the remainder when 48 is divided by d.
14
Suppose 4*b - 5*s = -111 + 404, -s = 3*b - 196. Suppose 52 = 5*f - 38. Calculate the remainder when b is divided by f.
13
Let z be 4*(-4 - (-57)/12). Suppose -l - 122 = -z*l. What is the remainder when l is divided by 16?
13
Let u(p) = p**2 + p - 1. Let g(v) = -2*v + 1. Let r be g(-1). Calculate the remainder when u(2) is divided by 6 - 1 - (0 + r).
1
Let d = -16 - -19. Let o = -1 + d. What is the remainder when o is divided by 1?
0
Let d(r) = 8*r**3 - r + 1. Let c be 12/8*(-4)/(-6). Calculate the remainder when 39 is divided by d(c).
7
Suppose 0 = 13*h - 8*h - 550. What is the remainder when h is divided by 28?
26
Suppose 3*u = 3*p + 39, -3*u - p - 3*p = -11. Calculate the remainder when 33 is divided by u.
6
Let u = -1 + 31. What is the remainder when 26/12 - 5/u is divided by 2?
0
Let n be (-126)/(-15) + 4/(-10). Let s = 27 - n. Calculate the remainder when 36 is divided by s.
17
Let s = -18 + 28. Suppose -5*u + 8 = -7. Suppose -116 = -u*m - m. What is the remainder when m is divided by s?
9
Suppose 36 - 101 = -5*y. Calculate the remainder when 37 is divided by y.
11
Let w = -50 - -57. What is the remainder when 47 is divided by w?
5
What is the remainder when 1 + 33 + (2 - 5) is divided by 17?
14
Suppose -3*t - 4*t = -133. What is the remainder when 54 is divided by t?
16
Let a(m) = m**2 + 2*m + 13. What is the remainder when a(8) is divided by 14?
9
What is the remainder when 4 is divided by (-15)/10*(-8)/6?
0
Suppose 5 = -y - 3*p, 4*y - 3*p = -8*p + 8. What is the remainder when (-186)/(-15) + 3/5 is divided by y?
6
Let t(o) = -41*o**3 - o**2 + 1. Let q be t(-1). Let f = -3 - -17. Suppose 3*k = q - f. What is the remainder when 16 is divided by k?
7
Let x(z) = z**2 + 8*z - 3. Let b be x(-8). Let w(d) = 3*d**2 + d - 2. What is the remainder when w(b) is divided by 12?
10
Calculate the remainder when 1/3 - 77/(-3) is divided by 15.
11
Suppose -5*d + 28 = -0*d - q, -4*d - 2*q = -14. Let l be 1/4 + (-364)/(-16). Let c = l - 9. Calculate the remainder when c is divided by d.
4
Let a = 84 + -32. Let h(s) = -s**2 - 9*s + 18. Calculate the remainder when a is divided by h(-9).
16
Suppose -5*z = 4*j + j + 25, -5*j + 65 = -5*z. What is the remainder when 13 is divided by 2/(-9) - 74/z?
5
Let z(p) = p**2 + 5*p + 11. Let f be z(-9). Let o = -34 + f. Calculate the remainder when 48 is divided by o.
9
Let k(i) = i**3 + 8*i**2 - 4*i - 6. Suppose f + 2*s - 5 - 3 = 0, 0 = f - 4*s + 22. What is the remainder when k(-8) is divided by 24*2/3 + f?
12
Let n(f) = 2*f**2 + f**3 + 0*f**3 - 7 - 5*f**2 - f + 4*f**2. Let q be n(0). Let i = 4 - q. Calculate the remainder when 42 is divided by i.
9
Let j(f) be the second derivative of f**3/3 - f**2 - f. Let k be j(2). Calculate the remainder when 11 is divided by (1 - -1) + (k - -2).
5
Suppose -3*o = o - 92. Calculate the remainder when -4 + (93 - (5 - 5)) is divided by o.
20
Suppose -2*l = -5*l + 15. Suppose 0*a = 3*a - 12. Suppose 0*k - 3*k + 5*p = -41, 2*p = a*k - 64. What is the remainder when k is divided by l?
2
Let i(b) = -6*b - 3. Suppose 0 = 5*y - 6*y - 9. Calculate the remainder when i(y) is divided by 13.
12
Let n = 8 - -3. Calculate the remainder when n is divided by 7.
4
Suppose -5*c + 115 = -0*c. Let p = 44 - c. What is the remainder when 81 is divided by p?
18
Suppose -38*c + 35*c = -54. What is the remainder when 51 is divided by c?
15
Suppose -2 = -4*a + 2. Suppose 0*r + r = -5*v - 4, -2*r + a = v. Calculate the remainder when 1/((-2)/(-4)*2) is divided by r.
0
Let z = -51 - -142. What is the remainder when z is divided by 47?
44
Suppose j - 4*j = -15. Suppose -k - 128 = j*n - 343, 172 = 4*n + k. Calculate the remainder when n is divided by 11.
10
Let i(o) = o**3 - 6*o**2 + 2*o - 1. Let x be 2 - (0 + 2)*-5. Suppose -z = -4*z + x. What is the remainder when i(6) is divided by z?
3
Let a(c) = -c**2 - 7*c - 4. Let t be a(-5). Suppose -3*k - t = 0, f + 4*k - 8 = -f. What is the remainder when 29 is divided by f?
5
Let b = -79 - -108. What is the remainder when b is divided by 6?
5
Suppose 80 = 3*d - 61. Let z = 158 - 110. Suppose o - z = -2*o. What is the remainder when d is divided by o?
15
Suppose -6 = 2*s - 4*d, 2*s + 4*d + 9 = -s. Let o(h) = -h**3 - 3*h**2 - 2*h - 4. What is the remainder when (-3 - -1) + (-48)/(-6) is divided by o(s)?
0
Let u = 5 - 3. Suppose -q = -u*q + 51. What is the remainder when -2*(q/(-6) + 3) is divided by 7?
4
Suppose -4*k + 7*k = -63. What is the remainder when 2/(-6) + 109/3 is divided by (-8)/(-28) - 393/k?
17
Suppose -s - 1 = 0, s + s = -3*u + 28. Let j(v) = -v**3 + 11*v**2 - 8*v + 1. What is the remainder when 39 is divided by j(u)?
18
Let d = -21 + 24. What is the remainder when 4 is divided by d - (0 - (2 - 2))?
1
Let v(w) = w**3 - 10*w**2 + 10*w. Let a(u) = -u**2 - 7*u + 9. Let s be a(-7). Calculate the remainder when 33 is divided by v(s).
6
Let s be (-1 + 2 + -2)*1. Let o(m) = -m**2 + 8*m - 2. What is the remainder when 3 - s/(2/50) is divided by o(6)?
8
Let n(x) = 2*x**2 - 2*x - 8. Calculate the remainder when 62 is divided by n(4).
14
Let q = -152 - -164. What is the remainder when 92 is divided by q?
8
Let n be -2 + 3/((-3)/(-7)). Let y(f) = 14*f - 3. Let x be y(2). Suppose 0 = n*d + 3*k - 69, -d - 5*k + x = -2. What is the remainder when 35 is divided by d?
11
What is the remainder when (-1 - -8)/(-6 - -7) is divided by 3?
1
Suppose -3*q + 191 = 95. What is the remainder when 121 is divided by q?
25
Let d(t) = -t**2 + 3*t + 6. Let y be d(5). Calculate the remainder when (-3)/(-2) - 2/y is divided by 1.
0
Suppose 3*s = 7*s, -s = 2*w + 4. Let g be (w + 0)/(6/(-21)). Suppose f + 3*o = g*o, 0 = -3*f + 4*o + 8. Calculate the remainder when 11 is divided by f.
3
Let t = -16 + 10. Let j(m) = -m**3 - 7*m**2 - 2*m + 6. Let q be j(t). Calculate the remainder when 12 is divided by 1*-2 + q/(-2).
5
Let f(q) = 4*q. Calculate the remainder when 23 is divided by f(3).
11
Let l(k) = k + 18. Calculate the remainder when l(-8) is divided by 7.
3
Let z(v) = 11*v - 43. What is the remainder when z(5) is divided by 9?
3
Suppose -3*a + 7 - 3 = -4*j, -4*a + j = -14. Suppose -a*d = -2*d - 16. Calculate the remainder when d is divided by 3.
2
Suppose -2*u = 2*u + 2*k - 114, 1 = k. What is the remainder when 81 is divided by u?
25
Let w = -4 + 10. Calculate the remainder when w is divided by 2.
0
Suppose -5*o + 34 = -4*d, 2*d + 2*d - 56 = -4*o. What is the remainder when (-28)/(-1) + -12 + 12 is divided by o?
8
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