j*z + 111. What is the remainder when z is divided by 13?
11
Let a = 23 + -20. What is the remainder when 6 is divided by a?
0
Let r = -53 - -89. Let t(s) = 17*s**2 + 4*s - 2. What is the remainder when r is divided by t(1)?
17
Let m(d) = -d**3 - 11*d**2 - 10*d + 9. Calculate the remainder when 17 is divided by m(-10).
8
Let w be 12/7 - (-20)/70. Suppose -t - 3*n - w*n = -14, 2*t - 5*n - 58 = 0. What is the remainder when t is divided by 9?
6
Let m(f) = -f**3 - f**2 - f + 4. Let x be m(0). Suppose -x*v = -v - 42. What is the remainder when 81*((-1)/(-3) - 0) is divided by v?
13
Suppose 0 = 3*d - 40 - 11. Calculate the remainder when d is divided by (-33)/(-4) + 30/40.
8
Suppose 0 = -3*q - q + 236. What is the remainder when q is divided by 16?
11
Suppose 0 = -3*c + 32 + 4. Suppose -n + 5*x = -58, -n - 4*x = -5*n + 152. What is the remainder when n is divided by c?
9
Let m be -45*(2 + (-8)/3). Suppose 3*u - 2*b - 3 - 30 = 0, 3*b = 3*u - m. Calculate the remainder when 50 is divided by u.
11
Let j(m) = m**2 + 13*m + 18. Calculate the remainder when j(-15) is divided by 25.
23
Suppose 4*m - 79 + 11 = 0. Let l = m + -16. Calculate the remainder when l is divided by ((-1)/((-3)/6))/2.
0
Let n = 120 + -57. Let r = n - 33. Calculate the remainder when r is divided by 11.
8
Let x(g) = -2*g**3 + 4*g**2 + 9*g - 1. Suppose -48 = -3*u + 45. What is the remainder when u is divided by x(3)?
7
Suppose -4 = -s - 2. Suppose -5*n + 2*i = -3 - 7, -s*i - 2 = -n. Suppose 4 = -n*t + 98. What is the remainder when t is divided by 16?
15
Suppose 20*y + 275 - 1555 = 0. What is the remainder when y is divided by 33?
31
Let y be -99*(5 - 4)*-1. Suppose 4*i - y = 57. What is the remainder when i is divided by 14?
11
Let c = 18 + 9. Suppose g + 0*g - 31 = 0. Suppose 4*l - 25 - g = 0. What is the remainder when c is divided by l?
13
Suppose -11 = -3*f + 4. Calculate the remainder when 14 is divided by f.
4
Let f = 21 + -29. Let j(i) be the second derivative of i**4/12 + 2*i**3/3 - 3*i**2/2 + 2*i. Calculate the remainder when j(f) is divided by 10.
9
Suppose 2*q + 4*b + 2 = 0, 2*q - q - b - 8 = 0. Suppose -n - 2 = -4*z + 1, n - 5*z + q = 0. Suppose 0 = u - n. Calculate the remainder when u is divided by 2.
1
Let m(r) = -r**2 + 10*r + 11. Let h(s) = s**2 + 4*s + 3. Let g be h(-5). Let f be m(g). Let l = f + -19. Calculate the remainder when 13 is divided by l.
5
Suppose -2*w - 5*l + 29 = -0*w, -l = -2*w + 35. Let b = 11 + -6. Calculate the remainder when w is divided by b.
2
Let l = 47 - 33. What is the remainder when 41 is divided by l?
13
Let t be -2 - (1 - (1 + 0)). Let q(h) = -9*h - 2. Suppose 2 + 16 = 2*y. Calculate the remainder when q(t) is divided by y.
7
Let z = -9 + 18. Let o(q) = -q - 24. Let u be o(0). What is the remainder when u*-1*4/6 is divided by z?
7
Let u(w) = 7*w**2 - 3*w + 6. What is the remainder when u(2) is divided by 15?
13
Suppose -q + 120 = 2*q. Let u = -17 + q. Calculate the remainder when u is divided by 35/3 - 3/(-9).
11
Let d be (-561)/12 + (-2)/8. Let l = d + 90. Suppose 0 = -2*z - 0 + 22. Calculate the remainder when l is divided by z.
10
Let s = 52 + 34. Suppose 2*f = -3*f + 20, -3*f + 122 = 5*z. Calculate the remainder when s is divided by z.
20
Let c = -40 + 56. Suppose -3*z = 3*w - 93, 2*z + 2*w = 7*z - 141. Calculate the remainder when z is divided by c.
13
Suppose -3*w + 32 + 10 = 0. Calculate the remainder when w is divided by 8.
6
Suppose 3*u - 4 - 50 = 0. Let s = 33 + u. Calculate the remainder when s is divided by 13.
12
Suppose -v + 0*v = 2. Let i be 1/(-1 - v)*17. Let o = i + -6. What is the remainder when o is divided by 6?
5
Let b = -1 - -36. Suppose 0 = -7*r + 2*r + 10. Calculate the remainder when b is divided by 2 + 15 + -3 - r.
11
Suppose 5*r - 212 = -2. Suppose 0 = -4*c + 30 + r. What is the remainder when 71 is divided by c?
17
Let y = 20 + -5. What is the remainder when 149 is divided by y?
14
Let v(o) = o**2 + o + 1. Let c(y) = -16*y - 7. Calculate the remainder when c(-3) is divided by v(4).
20
What is the remainder when 3 + 0 - 9*-1*4 is divided by 20?
19
Suppose -3*x - u + 4 = 0, 2*x + 0*u + u - 2 = 0. Suppose 5*i = -4*w + 42, -x*i - 9 = -w - 4*i. What is the remainder when 50 is divided by w?
11
What is the remainder when ((-8)/14)/(22/(-385)) is divided by 3?
1
Let n(s) = -2*s + 28. Calculate the remainder when 14 is divided by n(11).
2
Suppose -w - 2*w = -15. Let k = 8 - w. Suppose -2*r + 6*o = 2*o - 46, -k*r - 5*o = -91. What is the remainder when r is divided by 14?
13
Suppose 0 = -2*y + 5*j - 6, 18 = 4*y + 5*j. Suppose -c + 23 + 27 = 5*f, 0 = -4*f - 4*c + 56. Let r = -4 + f. What is the remainder when r is divided by y?
1
Let n = 17 - 15. Suppose n = i - 3. Calculate the remainder when i is divided by 2.
1
Suppose -4*i + 4*g = -i - 85, 4*i - 128 = -2*g. Suppose -2*b = 3*b - 40. What is the remainder when i is divided by b?
7
What is the remainder when 2 - (-2)/(-1)*-3 is divided by 3?
2
Suppose 2*x + 0*x = -3*p + 42, 5*x + 56 = 4*p. What is the remainder when p is divided by 4?
2
Let x(k) be the second derivative of -k**3/6 + 8*k**2 + 3*k. Suppose 25 = v - 5*g, 2*v + 0*g = g + 14. What is the remainder when x(8) is divided by v?
3
Let s(l) = -23*l + 29. Calculate the remainder when s(-3) is divided by 17.
13
Suppose -w + 6*w - n - 10 = 0, 0 = 4*w - 2*n - 2. Suppose -t + 53 = w*x + 2*x, -155 = -5*t - 3*x. What is the remainder when t is divided by 16?
12
Suppose 2*u + u + 2*h = 81, -84 = -3*u - 3*h. What is the remainder when u is divided by 14?
11
Suppose 5*n - 3*h - 25 = 0, -8*h = -5*n - 4*h + 30. Let a(b) = -3*b. Let x be a(4). Let p = x - -17. Calculate the remainder when p is divided by n.
1
Let c be (5 + -2)/((-1)/(-9)). Let m be (-9)/c + (-427)/(-3). Suppose -5*n - k + m - 31 = 0, 3*n = -3*k + 69. Calculate the remainder when n is divided by 6.
4
Let y = -9 - -9. What is the remainder when 3*6 + 0 - y is divided by 10?
8
Let s(a) be the first derivative of -a**2/2 + 12*a + 5. What is the remainder when 7 is divided by s(7)?
2
Let v(k) = -2*k + 1. Let z be v(2). Let m = z + 1. Calculate the remainder when m - (0 - 2) - -16 is divided by 6.
4
Suppose 5*c - 330 = 4*r, -2*r + 76 = -3*c + 276. Calculate the remainder when c is divided by ((-3)/4)/(17/(-408)).
16
Suppose 9*s - 15 = 4*s. Suppose 5*g = -2*d + 70, -17 = 4*d + s. Calculate the remainder when 31 is divided by g.
15
Let s = 4 - 3. Let q = 1 - s. Suppose q*r = -2*r + 46. What is the remainder when r is divided by 8?
7
Suppose y + 4*y - 830 = -5*r, 4*y - 5*r - 637 = 0. What is the remainder when y is divided by 56?
51
Suppose -92 = t - 5*t. Calculate the remainder when t is divided by (48/14)/(4/14).
11
Suppose -2*b = -3*b + 91. Suppose -b - 37 = -4*g. What is the remainder when g/2*(-9)/(-12) is divided by 7?
5
Suppose 9*d + 185 = 5*x + 4*d, -3*d - 143 = -4*x. Suppose 3*v - 5*b = v + 61, 3*b = 3*v - 78. Let z = x - v. What is the remainder when 34 is divided by z?
7
Suppose 192 + 36 = 3*i. What is the remainder when i is divided by 26?
24
Suppose 5*y - 2 = 3*y. Let p(r) = r**2 - r. Calculate the remainder when p(2) is divided by y.
0
Let x = 15 - 12. Suppose 4*s = -5*q + 81, 5*q - x*q + s - 30 = 0. Calculate the remainder when 23 is divided by q.
10
Let u(w) = -4*w - 48. Calculate the remainder when 14 is divided by u(-13).
2
Let d = -13 - -14. Let h(m) = 12*m**2 - 1. What is the remainder when 41 is divided by h(d)?
8
Let o = -15 + 47. Suppose -y + 33 = 2*y. What is the remainder when o is divided by y?
10
Suppose 0 = -2*z - k - 10 - 13, 3*z = k - 22. Let s(d) = -2*d - 3. What is the remainder when 28 is divided by s(z)?
13
Suppose o + 2 = 3*g, -3*o - 3*g + 9 + 9 = 0. Suppose -p + 15 = -z + 6, 0 = o*z - 4. Calculate the remainder when 19 is divided by p.
9
Suppose -4*a = -16 - 12. Let t(i) = 3*i - 8. What is the remainder when 10/(-1)*(-5)/2 is divided by t(a)?
12
Suppose a = 0, -2*w = w - 3*a + 51. Let d = -3 - w. What is the remainder when d is divided by 8?
6
Let h = 28 - -2. What is the remainder when 119 is divided by h?
29
Let h(x) = -x**3 - 3*x**2 - 2*x - 1. Let w be h(-3). Suppose 19 = 2*p + g + 2*g, -4*p = w*g - 37. What is the remainder when 23/1 + 0 + 0 is divided by p?
7
Suppose 4*l + 1 = -15, 4*d - l = 92. Let i(a) = -a**3 - 3*a**2 -