.
13
Suppose -4*i + 9*i + 3*y + 143 = 0, 0 = 2*i + 3*y + 59. Let f = i + 59. What is the remainder when 123 is divided by f?
30
Let g(n) = -n - 2. Suppose 16 = 3*k - k. Suppose 5*x + 17 = -3*j + 5, -2*j = -5*x + k. Calculate the remainder when 5 is divided by g(j).
1
Suppose 3*d - 76 + 16 = -3*p, -3*d + 72 = -3*p. Let f = d + -13. What is the remainder when f is divided by 5?
4
Suppose 0 = d - 4*d - 2*j + 7, -5*d - 3*j = -12. What is the remainder when 20 is divided by -7*(-3)/d*1?
6
Let h(d) be the second derivative of d**3/6 + 7*d**2 + 8*d. Calculate the remainder when 18 is divided by h(-7).
4
Let l(u) = -u + 0 + 2 + 0*u**2 + u**2. Let w = 23 - 18. Calculate the remainder when l(4) is divided by w.
4
Suppose -2*n = n - 39. Calculate the remainder when 150/6 + -4 + 2 is divided by n.
10
Suppose 2*m + 1 - 25 = 0. What is the remainder when 94 is divided by m?
10
Let v be -5*28*1/10. What is the remainder when 45 is divided by (-164)/v + (-2)/(-7)?
9
Let g = -4 - -16. Suppose -2*r = -3*r + 40. Suppose -r = -2*o + 4. Calculate the remainder when o is divided by g.
10
Suppose 0 = 2*k - 6, -5*c + 255 = -2*c - 5*k. Let f = c - 53. What is the remainder when f is divided by 10?
7
Let u = 2 + -10. Let s = u + 15. What is the remainder when 12 is divided by s?
5
Let s(w) be the first derivative of 2*w**3/3 + w**2/2 + 4. What is the remainder when s(3) is divided by 8?
5
Let q be 105/9 + (-2)/3. Let h = -7 + q. Suppose -3*y + 32 = 5*v - 0*y, -5*v = -h*y - 4. Calculate the remainder when 7 is divided by v.
3
What is the remainder when (-6)/(-21) - (-33)/7 is divided by 0 + 1/((-1)/(-3))?
2
Suppose -3*q = -40 - 11. Suppose 20 = 132*x - 130*x. Calculate the remainder when q is divided by x.
7
Let c = -90 + 144. What is the remainder when c is divided by 11?
10
Let b = -64 - -72. Calculate the remainder when 38 is divided by b.
6
Let y(k) = k**2 + 2*k - 7. Let p = 2 + -7. Let x(j) = -j**2 + 9*j + 2. Calculate the remainder when x(5) is divided by y(p).
6
Suppose 0*t + 39 = 3*t. Let s = 57 + -8. What is the remainder when s is divided by t?
10
Let r be (-256)/(-6) - (-2)/(-3). Let h = 41 + -37. Suppose -h*z = -z - r. What is the remainder when 40 is divided by z?
12
Let o(y) = -y + 1. Let t be o(-1). Suppose -t*s + 8 = -s. What is the remainder when s is divided by 3?
2
Suppose 2*i + c - 8 = 0, 0*i + 27 = 5*i - c. Calculate the remainder when i is divided by 2.
1
Let b be ((-3)/4)/(2/(-8)). Suppose 5*c - 5*m = 5 + 15, -b*m = 3. Let h = -7 - -15. Calculate the remainder when h is divided by c.
2
Suppose -d + 13 = 4*u, -10 = -4*u - 0*u - 2*d. Let r = -6 + 10. Suppose r*l - 23 = 5. Calculate the remainder when l is divided by u.
3
Let o(p) = -p**3 - 10*p**2 - 20*p - 5. Calculate the remainder when o(-9) is divided by 26.
16
Suppose -5*w = -6*w + 9. Calculate the remainder when 35 is divided by w.
8
Suppose 3*c + 9 = -0*c. Let q(u) = -u**3 - u**2 + 3*u - 2. Suppose -3*o - 54 = -5*h, -o + 50 = 2*h + 2*h. What is the remainder when h is divided by q(c)?
5
Suppose -106 = -3*u - 4. Let j = u + -19. Let b = j - 11. What is the remainder when 10 is divided by b?
2
Let j = 28 + -30. Let n(o) = -26*o**2 + 7*o + 9. Let m(y) = -13*y**2 + 4*y + 5. Let w(l) = 11*m(l) - 6*n(l). What is the remainder when w(j) is divided by 17?
15
Let y(o) = o - 17 - 6 - 3*o + 11. What is the remainder when 2 is divided by y(-7)?
0
Suppose -2*h + c - 11 + 56 = 0, 0 = h + c - 21. Let d = h - 59. Let v = -22 - d. What is the remainder when 43 is divided by v?
13
Suppose -5 + 130 = 5*w. Suppose -4*u + 22 = 2*h, h = -u - h + 1. Calculate the remainder when w is divided by u.
4
Let c = 3 - -8. Suppose -48 = 5*z - z. What is the remainder when c is divided by 30/(-9)*z/10?
3
Suppose -3*f - 2*m = 3 - 36, 0 = f + 5*m - 11. Let r(k) = k**2 - 10*k + 9. What is the remainder when 77 is divided by r(f)?
17
What is the remainder when (0 - -105)*(-2 + 3) is divided by 36?
33
Suppose 0 = z + j - 64, 0 = 5*z + j - 193 - 119. Calculate the remainder when z is divided by 22.
18
What is the remainder when 2/3 - (-4 + (-330)/18) is divided by 4?
3
Let n = 71 + -56. Calculate the remainder when 55 is divided by n.
10
Suppose -6 = 4*r + 6, -4*r - 6 = o. What is the remainder when o is divided by 3?
0
Calculate the remainder when 96 is divided by (-159)/(-15) - (52/20 + -3).
8
Let w = 26 - 16. Let y = 15 + 23. Calculate the remainder when y is divided by w.
8
Let h(u) = u**2 - 6*u + 1. What is the remainder when h(7) is divided by 2?
0
Suppose -249 = -4*u - 17. Suppose 4*v - u - 114 = 0. What is the remainder when v is divided by 23?
20
Let f(k) = -166*k**3 + k + 1. Let d(g) = -g**2 - 2*g + 2. Let h be d(-3). Let v be f(h). What is the remainder when (-2)/(-6) - v/(-6) is divided by 10?
8
Suppose -4*x - x + 120 = 0. Let v = -14 + x. Calculate the remainder when 28 is divided by v.
8
Suppose p = 5*v - 20, 5 = -4*v - 5*p - 8. Calculate the remainder when v is divided by 2.
1
Suppose 24 = 5*u - 31. Let a = 13 + u. Calculate the remainder when a is divided by 13.
11
Suppose 0 = -81*w + 83*w - 24. Let u(i) = -9*i - 3. Let l(a) = -10*a - 4. Let o(k) = -2*l(k) + 3*u(k). Calculate the remainder when o(-5) is divided by w.
10
Suppose 0 = -5*v + 5*m - 155, -v - 2*v - m = 77. Let j = 47 + v. Calculate the remainder when j is divided by 7.
6
What is the remainder when 34*(-1 - (9/(-2))/3) is divided by 5?
2
Suppose 3*m - 4*f - 113 = 45, -3*m = f - 148. Suppose -9*y + m = -7*y. What is the remainder when y is divided by 9?
7
Let s = 1 - -4. Suppose -s*w = -w - 8. Calculate the remainder when 3 is divided by w.
1
Let a(i) = -i**2 - 13*i - 8. Let d be a(-11). Suppose 0 = x - 19 - d. Let j = 43 + -26. Calculate the remainder when x is divided by j.
16
Suppose -2*f + a + 70 = -2*a, -4*f - 3*a = -104. Let u(s) = s**3 + 5*s**2 - 2*s. What is the remainder when f is divided by u(-5)?
9
Let p(l) = -3*l + 12. What is the remainder when p(-23) is divided by 29?
23
Let h = 4 + 1. Suppose h*x + 50 = 4*z, -1 = 4*x + 7. Calculate the remainder when 28 is divided by z.
8
Let f(q) = q**3 + 11*q**2 + 9*q - 1. Let i be f(-10). Suppose -2*y + i = y. Calculate the remainder when y is divided by 2.
1
Suppose 0 = -4*g - 75 + 299. What is the remainder when g is divided by 15?
11
Let a(r) = 2*r. Calculate the remainder when (-84)/(-147)*49/2 is divided by a(4).
6
Suppose 2*a + 19 = 51. Calculate the remainder when 30 is divided by a.
14
Let y = -9 + 80. Suppose h = -2*s + 48, -2*h + y = 2*s + s. Calculate the remainder when s is divided by 9.
7
Suppose -36 = -4*k - 4*y, -2*k - 3 = -3*y - 1. What is the remainder when 14 is divided by k?
4
Let z be 2 + 2 + -2 - 6. Let n(k) = -k**3 - 5*k**2 - 4*k + 4. Calculate the remainder when 10 is divided by n(z).
2
Let y(c) = c**2 + 3*c - 12. What is the remainder when y(6) is divided by 9?
6
Let t = -60 - -83. Calculate the remainder when 68 is divided by t.
22
Suppose 5*h - 2*h - 30 = -y, y = h - 10. What is the remainder when 27 is divided by h?
7
Suppose 0 = p - 2*p + 3*y - 1, -10 = -2*p + 2*y. Let h(g) = 8*g**2 + 2. Let c be h(-4). Suppose -25 = -5*d + c. What is the remainder when d is divided by p?
7
Calculate the remainder when 21 is divided by 1/(4*3/72).
3
Suppose -5*h = 3*g - 4, -2*g - 3*h + 1 = -2. Suppose -4 = -5*c + q + 81, 4*q = g*c - 68. Calculate the remainder when 63 is divided by c.
15
Suppose 3*b + 2*b - 15 = 0. Suppose -2*h + 31 = 2*m + b, -m = -2*h + 37. Calculate the remainder when h is divided by 6.
5
Let p = -84 + 162. Let l = p - 46. What is the remainder when l is divided by (-2)/4*(-22 - 0)?
10
Let b = -5 + 14. What is the remainder when 25 is divided by b?
7
Let j(p) = 3*p**2 - p. Let g = -7 + 5. Calculate the remainder when j(g) is divided by 8.
6
Let s(a) = 2*a**2 + 14*a - 1. Let i(q) = 10*q**2 + q. What is the remainder when s(-8) is divided by i(-1)?
6
Let i = 21 - 10. Suppose -4*q + 142 = x, 2*x + 42 - i = q. What is the remainder when q is divided by 9?
8
Let s = -8 + 11. What is the remainder when 164*(s/(-6))/(-1) is divided by 21?
19
Suppose -5*c - 3*u + 47 = 0, 5*c = 3*c + 4*u - 2. Suppose -56*p + 54*p + 36 = 0. What is the remainder when p is divided by c?
4
Let i = 8 - -32. Calculate the remainder when 157 is divided by i.
37
Let r(n) = -n + 1. Let o(a) = a**3 - 9*a