8
Let n(z) = z**3 - 2*z**2 + 2*z + 113. Calculate the remainder when n(0) is divided by 23.
21
Suppose -f - 4*x = 6, 0*f + 18 = 4*f + 2*x. Suppose k + 0 = u - 5, 0 = 4*u + 4*k - 60. Calculate the remainder when u is divided by f.
4
Let r = -33 + 85. What is the remainder when r is divided by 28?
24
Suppose 5*t - 5*n = -15, 4*t - 3*n + 9 = -0*n. Suppose -16 = -t*m - 2*m. Let i = 7 - -6. Calculate the remainder when i is divided by m.
5
Suppose -105*h + 108*h - 450 = 0. Calculate the remainder when h is divided by 17.
14
Let h = 89 - 75. What is the remainder when h is divided by 8?
6
Let x = 5 - -28. Calculate the remainder when x is divided by 7.
5
What is the remainder when 77 is divided by -1*26/(-6)*3?
12
Let q = -149 - -156. What is the remainder when 60 is divided by q?
4
Suppose 4*p = 6 + 10. Suppose 0 = 6*b - b + 5, 0 = -4*k + p*b + 92. Calculate the remainder when (-3)/(-15) + (796/20 - -2) is divided by k.
20
Let t(d) = -d**3 - 3*d**2 + 3*d - 2. What is the remainder when ((-12)/14)/((-14)/98) is divided by t(-4)?
0
Let p = 28 - 0. Let v = -66 + 76. What is the remainder when p is divided by v?
8
Suppose 0 = w - 2 + 5. Let i = 21 + w. What is the remainder when 35 is divided by i?
17
Suppose -2*o - 3*o = -5. Let p(w) = w. What is the remainder when p(2) is divided by o?
0
Suppose -2*d + 65 = 1. Calculate the remainder when 124 is divided by d.
28
Let o = -30 - -63. Suppose 60 = 4*c + c. What is the remainder when o is divided by c?
9
Suppose -l = -3*o + 8*o - 117, 4*o + 12 = 0. Suppose -3*p = -4*f + 130, -2*p - 2*p - l = -4*f. Calculate the remainder when f is divided by 16.
15
Let f(i) = 3*i - 3. Let b(m) = m**3 - 10*m**2 + 4. Let h be b(10). Let w be f(h). Suppose -3*g = -w - 42. What is the remainder when g is divided by 9?
8
Let u(n) = -2*n - 2. Let d be u(-3). Suppose 8*g - 6 = d*g + 2*m, -1 = m. Suppose 16*p - 10 = 11*p. What is the remainder when p is divided by g?
0
What is the remainder when 59 is divided by 10 + 10/(-5) + -4?
3
Let r = 3 + -7. What is the remainder when 3*18*(-2)/r is divided by 10?
7
Let a(l) = -46*l - 22. Calculate the remainder when a(-3) is divided by 10.
6
Let o be (24/(-9))/4*-6. Suppose -o*q + 3*q = -26. Calculate the remainder when q is divided by 9.
8
Suppose 0 = -3*v + 5*v - 26. Let q = 370 + -306. Calculate the remainder when q is divided by v.
12
Suppose -4*k + 5*a + 40 = 0, -7 = -3*k - 3*a + 50. What is the remainder when 56 is divided by k?
11
Suppose -2*r - 32 + 44 = 0. What is the remainder when 7 is divided by r?
1
Suppose 4*c - 11 - 1 = 0. Suppose -c*g = 1 - 10. Calculate the remainder when 4 is divided by g.
1
Suppose -5*p + 3*j = -44, -4*j + 23 + 15 = 3*p. Suppose 4*t = 30 + p. What is the remainder when t is divided by 6 + (-1 + 0 - -1)?
4
Suppose -5*x = 2*y - 5, 3*y + 2*x = -0*y + 13. What is the remainder when 4*((-3)/3 + y) is divided by 6?
4
Let h = 2 + -2. Suppose 3*o + 15 = z, 2*o + 19 = z - h*o. Calculate the remainder when z is divided by (-4 + 0)*(-28)/8.
13
Suppose 3*d = -4*d + 609. What is the remainder when d is divided by 22?
21
Calculate the remainder when ((-1)/2)/(4/(-296)) is divided by 10.
7
Let u(i) = i**2 - 5*i - 9. Let z be u(7). Suppose -p + z = -3. Calculate the remainder when 29 is divided by p.
5
Let p(s) = s**2 + 2. Let h be p(-9). Let j = 122 - h. Suppose 2*g = 3*r + 99, 4*g + 4*r = j + 189. What is the remainder when g is divided by 19?
16
Let k be (-4)/(-14) + 132/28. Let i = k - 2. Suppose -i*b = -5*b + 16. Calculate the remainder when 14 is divided by b.
6
Let y = 19 - -71. What is the remainder when y is divided by 31?
28
Let z(c) = c**2 + 4. Let l be ((-2)/4)/((-1)/46). Calculate the remainder when z(-3) is divided by l/5 - (-2)/5.
3
Suppose -5*b = c - 156, -c = -0*c - 1. What is the remainder when b is divided by 7?
3
Let r = 8 + -6. Suppose 6 = 3*q + 5*y, -r*q - 21 = -2*y - 3*y. What is the remainder when q/((-27)/66)*3 is divided by 12?
10
Let l(q) = 3*q**2 + 7*q - 7. Let w(i) = -13*i**2 - 29*i + 28. Let f(x) = 9*l(x) + 2*w(x). What is the remainder when f(-9) is divided by 15?
14
Suppose -325 = -5*i - 115. Calculate the remainder when i/1*2/2 is divided by (-4)/18 - 303/(-27).
9
Let y = -3 + 4. What is the remainder when y is divided by -3 - ((1 - 2) + -3)?
0
Let s(m) = -m**3 - 7*m**2 - 6*m + 9. Let v = 31 + -7. Calculate the remainder when v is divided by s(-6).
6
Let d(m) = m**2 + 8*m + 5. Let h be d(-8). Suppose 2*x + 7 - 34 = -h*j, -1 = -x. Calculate the remainder when 7 is divided by j.
2
What is the remainder when 135 is divided by (6/4)/(4950/(-552) + 9)?
43
Suppose c = -4*o + 14, 2*c + 5*o + 1 = 20. Calculate the remainder when 2 is divided by c.
0
Let a(v) = -v**3 - 11*v**2 - 13*v - 12. Let o be a(-10). Let c = o - -9. What is the remainder when c is divided by 10?
7
Let n(p) be the third derivative of -p**4/12 + p**3/6 - p**2. Calculate the remainder when 16 is divided by n(-4).
7
Let v(y) = 3*y**3 - y**2 + 1. Let a be v(1). Let i = a - 0. What is the remainder when i is divided by 2?
1
Let f(h) = 2*h**2 + 3*h - 4. Calculate the remainder when f(-6) is divided by 18.
14
Let p = 14 + -2. Calculate the remainder when 110/3 - (-4)/p is divided by 13.
11
Suppose -147 = -4*i - 15. What is the remainder when i is divided by 5?
3
Suppose -147 = -4*y - 3*y. Calculate the remainder when 101 is divided by y.
17
Suppose -6*q = 10 - 136. Calculate the remainder when 39 is divided by q.
18
Let c(a) = a + 1. Suppose 2*r = -3*k - 4, 3*r + 0*k - k = 16. What is the remainder when (-87)/(-9) - (-2)/(-3) is divided by c(r)?
4
Let b = -2 + 1. Calculate the remainder when 14 is divided by b/4 + (-63)/(-12).
4
Suppose 8 = 2*f - 4*f. What is the remainder when 50/3 + f/6 is divided by 6?
4
Let n be (3/4)/(5/40). Let g(y) = -y**2 + 7*y + 7. What is the remainder when 25 is divided by g(n)?
12
Suppose 0*q + 11*q - 66 = 0. Calculate the remainder when 28 is divided by q.
4
Let z = -3 - -40. Suppose 13 - 2 = x + g, -z = -2*x + 3*g. Calculate the remainder when 55 is divided by x.
13
Let n = -17 + 15. Let f(j) = 2*j**2 + j - 1. Calculate the remainder when 40/(-6)*(-18)/15 is divided by f(n).
3
Suppose -5*f + 5 = -0. Let p(n) = -f - 1 + n**2 + 4 + 5*n. What is the remainder when 14 is divided by p(-6)?
6
What is the remainder when 46 is divided by 6 + -2 + (2 - -10)?
14
Let v = -6 - -10. Suppose 0 - 2 = -w. Let t = 8 - w. What is the remainder when t is divided by v?
2
Let l(u) = -4*u - 16. Calculate the remainder when 12 is divided by l(-6).
4
Let v = 9 + -3. Suppose v = 2*s - 0*s. Suppose -k = 5*d - s*k - 30, 5*d - 60 = -4*k. Calculate the remainder when 22 is divided by d.
6
Suppose 0 = -5*w + 133 + 112. What is the remainder when 142 is divided by w?
44
Let i(v) = -6*v - v**2 + v**2 + 4*v**2 + 2 + 2. Suppose u - 3 - 12 = 0. What is the remainder when i(4) is divided by u?
14
Let g(r) = -r - 3. Let p(t) = t + 3. Let u(d) = 5*g(d) + 6*p(d). What is the remainder when 26 is divided by u(11)?
12
Let a = -2 + 4. Suppose -4*q = -5*q + a. Suppose 2*w - 121 = -3*j, -w = -j - q*j - 74. Calculate the remainder when w is divided by 17.
14
Let u = -3 + 2. Let d = 6 + u. Let v = d + -3. Calculate the remainder when 3 is divided by v.
1
Let b(c) be the first derivative of -c**3/3 - 3*c**2 - 2*c - 1. Suppose 4*w = 3*g - 8, -3*g + w = -1 - 10. Calculate the remainder when b(-4) is divided by g.
2
Let c be 2 + -4 + 0 - -8. Suppose -169 - c = 5*u. Let n = -20 - u. What is the remainder when 28 is divided by n?
13
Let n(b) = -8*b + 11. Let f(j) = -15*j + 23. Let p(z) = 6*f(z) - 11*n(z). Calculate the remainder when 32 is divided by p(0).
15
Let g = 17 - 1. Suppose -2*n + 22 + g = 0. What is the remainder when 55 is divided by n?
17
Suppose -3*y + 12 = -0*y. Suppose y*o - 15 = 3*b + 69, 46 = 3*o + 2*b. What is the remainder when o is divided by 5?
3
Suppose n + 5*o - 6 = 0, 5*n + 5*o - 3 = 27. Let p = 49 + -32. What is the remainder when p is divided by n?
5
Let n(a) = -2*a. Let q be n(0). Suppose 0*k - 3*k + 27 = q. Calculate the remainder when 35 is divided by k.
8
Suppose 5*f - 2*w = -w + 243, -4*f + 5*w = -186. Calculate the remainder when f is divided by 17.
15
Suppose 0 = -6*a + a + 20, -2*a = b - 11. Let c = 13 - 8. Calculate the remainder when c is divided by b.
2
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