 the remainder when m(-9) is divided by 23.
20
Suppose -4*a = v + 4*v + 24, 20 = 5*v. What is the remainder when ((-8)/12)/((-3)/9) is divided by (-6)/(-33) - 20/a?
0
Let p(x) = 2*x + 1. Let u(s) = -2*s - 1. Let i be u(-2). Suppose -3*l = 0, 2*m + m - i*l = 21. What is the remainder when p(5) is divided by m?
4
Let t be 2/(2/(-1 - 0)). Calculate the remainder when 16 is divided by (1 - t)/1 - -7.
7
Suppose -16*m + 28 = -14*m. What is the remainder when 41 is divided by m?
13
Let a = -2 - -4. Suppose -3*i = a*i - 25. What is the remainder when 8 is divided by i?
3
Let t(g) = -4*g - 11. What is the remainder when t(-8) is divided by 6?
3
Let a = -46 - -68. Suppose 2*o - 36 = 8. Suppose 0 = -q - o + 65. What is the remainder when q is divided by a?
21
Let h be 52/10 + 4/(-20). Let j(z) = 11*z + 5. Calculate the remainder when j(h) is divided by 21.
18
Suppose -2*g - 26 + 76 = m, 4*g = 2*m - 60. What is the remainder when m is divided by 21?
19
Suppose -5 = -p - 0*p. Suppose -p*o - 6 = -7*o. Let g(t) = -t**3 + 5*t**2 + 5. Calculate the remainder when g(5) is divided by o.
2
Let o = 52 + -26. Calculate the remainder when 51 is divided by o.
25
Let a be (-7)/(-4) + 2/8. Suppose -3*u + 70 = a*u. Suppose 5*i - 5 + 50 = 5*w, 5*i = -3*w + 19. What is the remainder when u is divided by w?
6
Let r = -3 - -14. Let d = r - 8. Let w(v) = 4*v - 1. What is the remainder when w(2) is divided by d?
1
Suppose -5*w = 2*i + 118, 4*w - i - 2*i + 76 = 0. Let n = w + 41. Suppose t = -4*x - 0*x - 5, 0 = 2*x + 6. Calculate the remainder when n is divided by t.
5
Let v = -133 + 322. What is the remainder when v is divided by 32?
29
Suppose 4*v - 16 = 3*i, -4*i = -1 - 15. Suppose -4*j - m - 43 + 174 = 0, 4*j = 4*m + 136. What is the remainder when j is divided by v?
5
Suppose -22*o = -15*o - 63. What is the remainder when 151 is divided by o?
7
What is the remainder when 2*2/(-8)*-26 is divided by 3?
1
What is the remainder when 37 is divided by 6/(6*(-2)/(-40))?
17
Let m = 25 - -70. Suppose 3*d = o - 13, -5*o = -0*o - 5*d - m. Let v = -13 + 21. Calculate the remainder when o is divided by v.
6
Suppose 9 = -2*k + 37. What is the remainder when k is divided by (-816)/(-170) + 12/10 + -1?
4
Suppose -5*c = -4*b - 7, -1 = -b + 5*b - 3*c. Calculate the remainder when (-13)/(5*(-7)/105) is divided by 4*3 + -1*b.
9
Let i(x) = -11*x + 2*x**2 + 3*x**3 - 4*x**2 + 2 + 6*x. Let f(h) = -h + 11. Let q be f(8). What is the remainder when i(q) is divided by 17?
16
Let c(g) = 4*g**2 + g - 5. Let v be c(-5). Suppose 6*o - o = -v. What is the remainder when 7 is divided by (-50)/o - 2/(-9)?
1
Suppose 0 = -4*p + p + 546. Let j = -89 + p. What is the remainder when j is divided by 24?
21
Suppose -86*i = -83*i - 57. What is the remainder when i is divided by 11?
8
Let c = -3 - -8. Suppose 0 = 5*v + 4*w + 4 - 44, 4*w + 20 = 0. What is the remainder when v is divided by c?
2
Suppose 0 = a - 5. Suppose -2*l + 60 = -a*l. Let z = 28 + l. Calculate the remainder when 14 is divided by z.
6
Suppose -2*j + 51 = j. Calculate the remainder when 67 is divided by j.
16
Let w = 8 - -2. Let l(d) = d**2 + 4*d - 6. What is the remainder when w is divided by l(-6)?
4
Suppose 0*x - 5*x + 4*s + 24 = 0, 0 = 4*x - 2*s - 18. Suppose 110 = f + x*f. What is the remainder when f is divided by 8?
6
Suppose 0 = 3*m - 6, -4*i - 42 = -m. Suppose 4*k + 4*r + 28 = 0, 8 = -k + r + 1. Let j = k - i. What is the remainder when 4 is divided by j?
1
Let t = -2 + 10. Suppose -3*i = 2*i + 30. What is the remainder when i/10 + 312/20 is divided by t?
7
Let r = 0 - 7. Let j = 2 - r. Let b = 4 + -1. What is the remainder when j is divided by b?
0
Let m(o) = 46*o + 1. Let p be m(4). Suppose 6 = 3*u + 4*j + p, 167 = -3*u + 2*j. Let h = -39 - u. Calculate the remainder when h is divided by 10.
8
Let x be ((-43)/(-4))/((-3)/(-36)). Let o = x + -92. Let c(j) = -j**3 - 2*j**2 + 4*j + 3. Calculate the remainder when o is divided by c(-4).
18
Suppose 1 - 9 = -2*f. Let p(a) = -2*a**2 - 10*a - 6. Calculate the remainder when f is divided by p(-4).
0
Suppose -h = -23 - 1. Calculate the remainder when h is divided by 13.
11
Suppose -20*w = -23*w + 36. What is the remainder when w is divided by 3?
0
Suppose 2*z - 7*z = 75. Suppose -3*g + 0*g + 15 = 0. Calculate the remainder when (-8 + 7)*(z + 1) is divided by g.
4
Suppose -8 = 4*v - 8*v. Suppose -y + 2*z + 12 = 0, z + 18 = v*y - 0*y. Calculate the remainder when 21 is divided by y.
5
Let p(w) = 4*w**2 + 5 - 8*w - 1 - w**2 - w**2. Suppose -u = -6*u + 25. What is the remainder when p(u) is divided by 8?
6
Let h be 4*1 - (-6)/3. Suppose 0 = h*l - l - 110. What is the remainder when l is divided by 8?
6
Suppose 7 = 4*c - 2*s - 23, -s + 6 = c. What is the remainder when 19 is divided by c?
5
Let y(g) be the first derivative of g**3/3 - 3*g**2/2 + 6*g + 10. Let d be 0 + 5 - 0/(-2). What is the remainder when y(d) is divided by 6?
4
Let q = -10 - -15. Suppose -2*b + 12 = b, -v - 21 = -q*b. Calculate the remainder when 0 - 1 - v - -38 is divided by 20.
18
Suppose 2*c - 10 = c. Suppose 0 = -3*d + 2*x + 91, d + 4*x + x = 19. Calculate the remainder when d is divided by c.
9
Let y(f) = 5*f - 9. Let u = 148 - 87. What is the remainder when u is divided by y(5)?
13
Let h(g) = -g**2 - 3*g - 2 - 2*g + 5 + 3*g**2. What is the remainder when 43 is divided by h(4)?
13
Let u(k) = -3*k - 5. Let m be u(-4). Suppose -j + 25 = 5*h - 0*j, -3*j = -2*h - m. Let q = 18 - 11. Calculate the remainder when q is divided by h.
3
Let m = -11 + 18. Suppose 0*g - g = 0, 4*g = -3*j - 30. Calculate the remainder when m is divided by j/4*4/(-2).
2
Suppose -12 = 3*r - 36. Suppose q = r + 6. Calculate the remainder when (q/6)/((-3)/(-63)) is divided by 13.
10
Suppose 0 = 4*u - 3 - 5. Suppose -u*v + 14 = b + 3*b, -3*v = -4*b - 71. Calculate the remainder when v is divided by 9.
8
Calculate the remainder when 86 is divided by 3 - (-1)/((-1)/(-19)).
20
Suppose 0 = -3*y + 5*y - 26. Calculate the remainder when -37*(0 - (-2)/(-2)) is divided by y.
11
Let a(d) = -d + 22. Calculate the remainder when 73 is divided by a(7).
13
Calculate the remainder when 245 - (0 + -2)/(-2) is divided by 49.
48
Let y(r) = -75*r - 1. Let s(f) = f**3 - 7*f**2 + 11*f - 6. Let b be s(5). What is the remainder when y(b) is divided by 25?
24
Suppose -3*j = -10*j + 161. What is the remainder when j is divided by 5?
3
Let l = -52 + 74. What is the remainder when 35 is divided by l?
13
Let l be (-5 - -3)/((-2)/3). Suppose 3*k = -4*c + 19, k + 0*k = -5*c + 10. Calculate the remainder when 4 is divided by (1/l - c)*-3.
0
Suppose -17 = 3*w + 5*x - 0*x, 3*w + 23 = -2*x. Let i = 4 - w. Calculate the remainder when 37 is divided by i.
11
Let l = 237 - 163. Let u = l + -39. Calculate the remainder when u is divided by 9.
8
Calculate the remainder when 101 is divided by 24/(-11) - -2 - 4136/(-121).
33
Let f be 56/(-6)*(-3)/(-2). What is the remainder when 52 is divided by (-258)/f + (-15)/35?
16
Let o(q) = 8*q - 1. Let a(y) = -y**3 + 7*y**2 + 11*y - 8. What is the remainder when o(4) is divided by a(8)?
15
Suppose 3*m = 4*m + 2. Let q(u) be the first derivative of -u**4/2 + 2*u**2 + 3*u - 1. What is the remainder when q(m) is divided by 6?
5
Let m(v) = -2*v - 7. Let r be 15/6*(-12)/(-15). Calculate the remainder when (-1)/((r + -4)/18) is divided by m(-6).
4
Let d = -5 + 9. Calculate the remainder when 14 is divided by d.
2
Suppose 0 = d + 1 - 17. Let f(y) = 64*y**2 - 4*y + 3. What is the remainder when f(1) is divided by d?
15
Let c = 178 + -85. Let w = c + -50. What is the remainder when w is divided by 11?
10
Suppose 0 = 4*u + 2*m + 8, 1 = 2*u + 2*m + 3. Let q = u + 5. Suppose -4 = -2*x + q. What is the remainder when 5 is divided by x?
2
Let w(n) = -n**3 + 2*n**2 + 8*n - 4. What is the remainder when w(3) is divided by 7?
4
Let t(z) = z**2 - 13*z + 15. Suppose 5*i - 56 = -1. Let k be t(i). Let b(q) = 2*q**2 + 10*q - 2. What is the remainder when b(k) is divided by 9?
8
Let q(z) = z**2 + 3*z + 1. Let a be -2 + 1 + -2 + 5. Let g = 15 - a. Calculate the remainder when g is divided by q(-4).
3
Let o(t) = 6*t**2 - t. Let w be o(1). Suppose -w*g = -18 - 47. Calculate the remainder when g is divided by 8.
5
Let d = -38 - -64. What is the remainder when 75 is divided by d?
2