Suppose 2*x - 44 = -z - 0*z, -3*x = -z - 71. What is the remainder when 91 is divided by x?
22
Let z be (-3)/5 - (81/15 + -4). Calculate the remainder when ((-2)/(-4))/((-2)/(-192)) is divided by 1*(16 + z*(-4)/8).
14
Let x(j) be the first derivative of 1/2*j**2 - 3 + 1/3*j**3 - 3*j. What is the remainder when 42 is divided by x(3)?
6
Calculate the remainder when 101 is divided by (0 - 0) + 15 + 6.
17
Let p(k) = 3*k - 40. Let n(q) = q + 33. Let x be n(-14). Calculate the remainder when 48 is divided by p(x).
14
Suppose 2 = -0*s - s, -5*p = 5*s - 830. Suppose -2*c + 6*c + 2*j = p, 0 = c - 5*j - 64. What is the remainder when c is divided by 15?
14
Suppose 4*h - 150 = 2*k, 192 = 5*h - 3*k - k. Calculate the remainder when h is divided by 8.
4
Let l(a) = -7*a + 5. What is the remainder when l(-28) is divided by 34?
31
Let y be (-49)/(-2)*2*1. Suppose 4*x + y = 165. Suppose 2*j = -3*n + 32, 5*j - 24 = -4*n + 42. Calculate the remainder when x is divided by j.
9
Suppose 43 = -4*m + 15. Let s = 12 + m. Let p(o) = -o**3 + 2*o**2 - 17*o - 41. Calculate the remainder when p(-2) is divided by s.
4
Let q(b) = 83 - 50 + 3*b - 2*b. Calculate the remainder when 59 is divided by q(-13).
19
Let j = 18 + 12. Calculate the remainder when 114 is divided by j.
24
Suppose 8*s = 5*s + 201. Let i = s - 13. Let j = -20 - -48. Calculate the remainder when i is divided by j.
26
Let v(r) = r**3 + r. Let g be v(0). Suppose -5*n + 1935 = -g*n + 2*b, -n + 4*b + 365 = 0. What is the remainder when 52 is divided by n/21 - (-1)/(-3)?
16
Let b = 1838 + -1816. Calculate the remainder when 30 is divided by b.
8
Suppose 0 = -v - f - 3, 6 = 3*v - 3*f - 9. Calculate the remainder when 5 is divided by (0 - 2)*(-1 - v).
1
Let z be (4/(-6))/(2/(-6)). Suppose -2*b = z*b - 56. Let c = -41 - -80. Calculate the remainder when c is divided by b.
11
Suppose d = 5*k - 2, d + 12 = 6*d - 3*k. Suppose d*f - 2*f = 351. What is the remainder when (f/(-6))/3*-2 is divided by 21?
18
Suppose 3*p - p = 16. Let i(o) = -o**3 - 2*o**2 + 9*o - 9. What is the remainder when i(-5) is divided by p?
5
Let k = 849 + -688. Calculate the remainder when k is divided by 12.
5
Let b(q) be the second derivative of -q**4/6 + 7*q**3/2 - 25*q**2/2 + 12*q. Calculate the remainder when b(8) is divided by 3.
0
Suppose 5*q - 186 = -2*o + 773, -974 = -5*q + 3*o. What is the remainder when q is divided by 65?
63
Suppose -2 = -4*y - 3*d + 3, 3*d = 2*y - 7. Suppose -3*p + y = -37. What is the remainder when 2/(((-1)/(-1))/12) is divided by p?
11
Suppose 2*g = -3*z + 1, -4*z = -0*z + 4. Suppose -3*m + 9 = -6. Suppose 6 = m*h + 1. What is the remainder when g is divided by h?
0
Let j = -2 + 32. Suppose -2*b + 10 = j. Let f(d) = -d - 4. What is the remainder when 17 is divided by f(b)?
5
Suppose 4*b - 8 = w, 5*w - b - b = 32. Let j = w + -7. Calculate the remainder when 22 is divided by 1*(4 + 3) - j.
4
Let t be 3 - (1 - 1) - 1. Suppose -g + 4*y = t*y - 48, 0 = g + 2*y - 36. Let s = g - 25. Calculate the remainder when 31 is divided by s.
14
Suppose -5*w + 2*w = -p + 27, 2*w - 46 = -2*p. Suppose s + s - p = 0. Calculate the remainder when (-7 + 0)*(-1058)/161 is divided by s.
10
Suppose 8*o + 57 - 161 = 0. What is the remainder when 36 is divided by o?
10
Suppose -3*s + 0*s + 11 = 4*d, -4*d = 4. Suppose -2*y = -5*m - 7 - 2, y = -s*m + 42. What is the remainder when y is divided by 11?
6
Let k(r) = r + 24. Suppose 3 = 4*w + 2*z + 1, -1 = -4*w - 3*z. What is the remainder when k(0) is divided by (-16)/(-12)*6 + w?
6
Let z be (-69)/(((-12)/(-3))/(-8)). Suppose 3*v = v + z. Suppose -2*i + v = 1. What is the remainder when 135 is divided by i?
33
Calculate the remainder when (-1112)/(-20) - 12/(-30) is divided by 21.
14
Suppose -5*v = 3*b - 14, 2*b - 3*v - 2*v - 1 = 0. Let k = b - -15. What is the remainder when k is divided by 4?
2
Suppose -6*x + 5 = -7. Suppose -x*a - 5*a + 140 = 0. What is the remainder when 57 is divided by a?
17
Calculate the remainder when (2/2 - -153)/(72/36) is divided by 17.
9
Let v(c) = c + 5. Let p be v(3). Suppose -a + 37 = p. Calculate the remainder when a is divided by 6.
5
Let y = -35 + 34. Let c(q) = -18*q + 3. What is the remainder when 39 is divided by c(y)?
18
Suppose -8 = -4*k + 16. Suppose k*v - v = 20. Calculate the remainder when v is divided by 4.
0
Let g = 101 + -15. What is the remainder when g is divided by 9?
5
What is the remainder when 50/4 + -1 - (-15)/(-30) is divided by 1/(14/(-8) + 2)?
3
Let h be (-3)/(-18) - 179/(-6). Let n = h + -18. Suppose 0 = 2*z - 6*z + 88. What is the remainder when z is divided by n?
10
Let v = -704 - -731. What is the remainder when v is divided by 11?
5
Calculate the remainder when 1*(147 - (-11 + 2)) is divided by 53.
50
What is the remainder when (3/(-6))/(22/(-3740)) is divided by 35?
15
Let b(z) = -z - z**3 - z**2 + 0*z**2 - 3*z**3. Let q be b(-1). Let m(p) = 5*p - 14. What is the remainder when 10 is divided by m(q)?
4
Let b(i) = -3*i + 6*i - i**3 - 4*i + 9. Calculate the remainder when b(0) is divided by -4 - -3 - (-1 + -5).
4
Let b = 257 - 120. What is the remainder when b is divided by 4?
1
Let f = -49 - -68. What is the remainder when 71 is divided by f?
14
Suppose 14 = 3*a - 2*c, -9*c - 18 = -a - 11*c. Calculate the remainder when 20 is divided by a.
4
Suppose 13*f - 386 - 69 = 0. Let n(u) be the second derivative of u**4/4 - u**3 - 3*u**2/2 + 3*u. Calculate the remainder when n(7) is divided by f.
32
Suppose 0 = a + p - 8, -43*a = -47*a - 2*p + 36. What is the remainder when (9/(-6))/((-2)/116) is divided by a?
7
Let a(h) = -h**2 - 5*h + 1. Let r be a(-4). Let d(s) = s**2 + s - 15. What is the remainder when 43 is divided by d(r)?
13
Suppose 136 = 2*m + 6*m. Let c be (6/(-4))/(9/(-24)). Suppose s + 30 = c*s. What is the remainder when m is divided by s?
7
Suppose -2*z = 4*n - 4, -3*z - 6 = -2*n - 52. Calculate the remainder when 68 is divided by ((-8)/z)/((-1)/36).
20
Let x(u) = 2*u**2. Let f = -422 - -433. Calculate the remainder when f is divided by x(1).
1
Let j(g) = 66*g**2 + 11*g + 23. Calculate the remainder when j(4) is divided by 161.
157
Let p be 0 - (-2 - -1*(-88)/(-4)). Calculate the remainder when 57 is divided by (4 - (-65)/p) + 117/4.
27
Let c = 213 + -185. What is the remainder when 106 is divided by c?
22
Suppose -4*v - 1 = -5. Suppose 41 = 35*g - 32*g - 2*i, -3*i = -2*g + 24. What is the remainder when g is divided by (-1 - 0 - v)*-4?
7
Let d = 578 + -365. What is the remainder when d is divided by 24?
21
Let a = 267 + -235. What is the remainder when 63 is divided by a?
31
Suppose 0 = -g, -n + 1002 = -3*g + 2*g. Suppose 5*r + r = n. What is the remainder when r is divided by 34?
31
Suppose 56 = -3*o + 10*o. Let f(m) = -m**3 - 2*m**2 + 5. Let c be (-6)/(-9) + (-11)/3. What is the remainder when f(c) is divided by o?
6
Let g be 2 - (2 + (-5 - -2)). Let k = g - -34. Let z = 443 + -372. What is the remainder when z is divided by k?
34
Let z(v) = -v + 11. Let p be z(0). Suppose 13*h = p*h + 16. Calculate the remainder when 38 is divided by h.
6
Let h = -11 - -21. Suppose -h - 286 = -8*b. What is the remainder when b is divided by 10?
7
Suppose 1378 = -5*c + 2*j - 0*j, -3*c - 806 = 4*j. Let s = c + 420. What is the remainder when s/5 - (-2)/(-10) is divided by 16?
13
Let p = 0 + 5. Suppose -p*b + 12 = -18. Calculate the remainder when 4 + 90/(-23) - 4392/(-276) is divided by b.
4
Suppose -2*a + 15 = 1. Suppose -3*x + 68 + 223 = 4*y, 2*y - 133 = x. Suppose -4*o - 17 = -y. What is the remainder when o is divided by a?
6
Let h(l) = -50*l - 13. Let k(b) = 50*b + 13. Let m(q) = 5*h(q) + 4*k(q). Calculate the remainder when m(-2) is divided by 45.
42
Let p(w) = -w**3 + w**2 + w + 2. Let i = 7 - 7. Let z be p(i). Suppose b - 16 = c + 6, -5*b = -z*c - 104. Calculate the remainder when b is divided by 7.
6
Let i = -16 + 19. Suppose -d + i + 2 = 0. Suppose 30 = -0*k + d*k - 5*o, 0 = 2*k - 4*o - 16. Calculate the remainder when 11 is divided by k.
3
Calculate the remainder when 103 is divided by (-1 - 5/(-6)) + (-3300)/(-360).
4
Let m = 2328 - 2263. What is the remainder when 175 is divided by m?
45
Let s(c) = 2*c**2 + 1. Let j be s(2). Let i = j + 53. What is the remainder when i is divided by 16?
14
Suppose -100 = -2*s - 2*i, -s + 37 = -4