 the remainder when u is divided by 4.
1
Suppose 3*c = -p + 64, 0*c = c - 4*p - 30. What is the remainder when c is divided by 12?
10
Let p be 6/27 - 3342/(-27). Suppose 3*i - p = -i. What is the remainder when i is divided by 8?
7
Suppose -4*c = -5*q - 57, 4*c + 2*q - 48 = -2*q. Calculate the remainder when 166 is divided by c.
10
Let j(z) = z**3 + 6*z**2 + z + 8. Let m be j(-6). What is the remainder when -2 - m/2*-46 is divided by 1 - (-1 + -13*1)?
14
Suppose 0*z = z - 2. Suppose 0 = -3*a + 20 - z. Suppose -a*w + 4*w = -100. Calculate the remainder when w is divided by 13.
11
Let p = -17 + 28. Calculate the remainder when p is divided by 4.
3
Let c be 7/(-14)*(-38 - 0). Suppose -5*m + c = 4. Suppose 0 = -r + m*j, -3*j - 10 = -4*r + 8. What is the remainder when 17 is divided by r?
5
Let l(j) = j + 24. Calculate the remainder when 59 is divided by l(-12).
11
What is the remainder when 97 is divided by (190/(-19))/(1 + (-2 - 0))?
7
Let m = -171 - -198. Calculate the remainder when 107 is divided by m.
26
Suppose 2*b - 32 = -0*b. What is the remainder when b/24 + (-242)/(-6) is divided by 14?
13
Let k = 15 - 8. Let g(s) = s - 5. Let m be g(8). Calculate the remainder when k is divided by 0 - ((0 - m) + -1).
3
Suppose 3*q - 4 = 2*b - 2, 4*b - 16 = -4*q. Suppose 0 = -2*g + 6, -g = -b*n - 2*n + 69. Calculate the remainder when n is divided by 5*(-6)/9*-3.
8
Let r = -45 - -68. Calculate the remainder when 137 is divided by r.
22
Suppose 2*i - 118 = -4*s, i - 85 + 23 = -5*s. Calculate the remainder when i is divided by 10.
7
Suppose 4*l + 5*u - 16 = 0, -l = u + 4*u - 4. Let y be 60/(-2 + -1)*-1. Suppose -q + y = l*q. Calculate the remainder when 6 is divided by q.
2
Let j = -3 - -8. Suppose 15 = 8*n - 3*n. Suppose 5 = -n*b - 3*z + 29, -3*z + 3 = -4*b. Calculate the remainder when j is divided by b.
2
Let a = 57 - 18. What is the remainder when a is divided by ((-15)/(-9))/(4/24)?
9
Let s be 2/3 + 822/9. Suppose -s = -5*g - 4*f, -f = -4*g + f + 58. Calculate the remainder when 1236/27 + 10/45 is divided by g.
14
Let q(y) = -y - 1. Suppose 31 = 3*j - 5*f + 6, 3*f + 6 = 0. Let o = j - 0. What is the remainder when o is divided by q(-3)?
1
Calculate the remainder when 0/2 + 9 + 72 is divided by 14.
11
Let v(y) = -y**2 + y. Let n(x) = -16*x**2 + 6*x. Let c(d) = -n(d) + 5*v(d). What is the remainder when 138/2*(-4)/(-6) is divided by c(-1)?
10
Let b(n) = -18*n - 99. Calculate the remainder when b(-10) is divided by 7.
4
Suppose -s - s + 5*i = -92, -5*i = 5*s - 265. Suppose s + 14 = 5*d. Calculate the remainder when 23 is divided by d.
10
Suppose -5*m = 3*r - 238, 0*r = -m + 5*r + 70. What is the remainder when m is divided by 18?
14
Let r be 8 + 18 - (1 - -1). Let i = -14 + r. What is the remainder when 28 is divided by i?
8
Let z = -2 + 46. Calculate the remainder when 87 is divided by z.
43
What is the remainder when 83 is divided by (-1500)/(-52) - 6/(-39)?
25
Let g(l) = -l**2 + 6*l - 1. Calculate the remainder when g(4) is divided by 2.
1
Let a(z) be the first derivative of z**5/4 + z**3/6 + 4*z + 1. Let u(v) be the first derivative of a(v). Calculate the remainder when u(1) is divided by 3.
0
Let i = 17 - -4. Calculate the remainder when i is divided by 6.
3
Let s be (1/2)/((-1)/(-8)). Let o(h) = -h**2 + 3*h + 2. Let y be o(s). What is the remainder when 6 is divided by (-4)/(-2) - (y + 0)?
2
Let o = -26 - -32. Let f = -5 + 9. Calculate the remainder when o is divided by f.
2
What is the remainder when 60/(-14)*21/(-3) is divided by 16?
14
Let n(m) = m**3 + 4*m**2 - 2*m - 2. Suppose -4*u - f = 2*f - 771, -5*u - 3*f + 963 = 0. Calculate the remainder when ((-3)/4)/((-4)/u) is divided by n(-3).
10
Let h = -3 - -20. What is the remainder when 65 is divided by h?
14
Let c = -21 + 26. What is the remainder when 9 is divided by c?
4
Suppose -5*s + 180 = -s. What is the remainder when s is divided by 16?
13
What is the remainder when 13 is divided by (-4)/(-8)*-2 + 9?
5
Suppose 4*v - 5*v + 11 = 0. What is the remainder when 32 is divided by v?
10
Let q = -97 - -113. What is the remainder when 72 is divided by q?
8
Let h = 42 + 36. What is the remainder when h is divided by 16?
14
Let n(a) = 12*a**2 - a - 1. Let k be n(2). Let s = -8 + k. Calculate the remainder when s is divided by 19.
18
Suppose -p - 4*z + 50 = 0, -2*z + 16 = 2*z. Let l(w) be the third derivative of w**4/12 + 2*w**3/3 + 2*w**2. What is the remainder when p is divided by l(4)?
10
Let v = 30 + -10. Suppose -5*u - 6 - 9 = 0. What is the remainder when 58/u*-3 - 0 is divided by v?
18
Let o = 43 + -11. Suppose 7*y - 3*y = o. What is the remainder when 21 is divided by y?
5
Suppose 4*y - 2*s - 56 = 0, -3*y + 5*s = -y - 44. What is the remainder when 58 is divided by y?
10
Let s(t) = 2*t**2 + 2*t + 2. Calculate the remainder when s(-5) is divided by -3*(12/(-18) - (-7)/(-3)).
6
Let m(p) = p**3 - 4*p**2 + 4*p - 2. Suppose -4*q + 60 + 8 = 0. Let z = -2 + q. What is the remainder when m(5) is divided by z?
13
Let r = 55 - 49. Calculate the remainder when r is divided by 2.
0
Suppose -2*t - t = -12, 4 = -k + 2*t. Suppose k*z - 58 = -5*r + 2*z, -13 = -r + z. What is the remainder when 34 is divided by r?
10
Let v = -9 + 4. Let s = v - 21. What is the remainder when 24 is divided by (s/(-8))/((-3)/(-12))?
11
Suppose u = -k, 4*k + 4 = -u - 8. Suppose 2*g - 274 = -4*z, 41 = -3*z - 4*g + 259. Suppose u*n = 34 + z. What is the remainder when n is divided by 13?
12
Suppose 5*c + 4*u - 42 = u, -4*u - 2 = -3*c. Calculate the remainder when ((-51)/c - 3)*-2 is divided by 6.
5
Suppose 4*o + 30 = 2*t, o - 20 = -5*t - 0*o. Calculate the remainder when 12 is divided by t.
2
Suppose 3*c = i + 15, -c + 10 = -3*i + i. Let k(x) = 2*x - 3. Let s be k(c). Suppose -s*m + 20 = -3*m. What is the remainder when m is divided by 4?
2
Suppose -3*w = 5*k - 16, -4*w + 2*k + 0 + 4 = 0. Suppose w*u - 5*q - 18 = 0, 5*u + 0*q - 45 = -2*q. What is the remainder when u is divided by 5?
4
Suppose -2*x + 5*a + 36 + 39 = 0, 5*a = 3*x - 100. Suppose 5*u + 0*u = x, i = -3*u + 8. What is the remainder when -2*(567/2)/i is divided by 21?
18
Suppose -92 = -2*w - 5*h, -2*h = -3*w - 5*h + 120. What is the remainder when 107 is divided by w?
35
Let x = -2 - -2. Suppose 0 = -u + 2*u + 2*t - 18, t + 5 = x. Suppose -3*h - 14 = -44. What is the remainder when u is divided by h?
8
Let s(k) = -k + 9. Let w be s(7). Suppose 77 + 3 = w*h. Let q = -1 + 15. What is the remainder when h is divided by q?
12
Let f = 5 - -9. Suppose 0 = -y - 3*y + 8. Suppose -34 = -y*x + 20. What is the remainder when x is divided by f?
13
Suppose -2*p - 3*j + 84 = 0, -3*p + j + 2*j + 126 = 0. Suppose -5*a = -4*s - 63 - 112, -2*a - 4*s + p = 0. Calculate the remainder when a is divided by 11.
9
Let q(v) = -4*v - 27. Let r(p) = -2*p - 13. Let a(l) = 4*q(l) - 7*r(l). What is the remainder when 11 is divided by a(-12)?
4
Suppose -5*a + a = -144. Calculate the remainder when 143 is divided by a.
35
Suppose -4*v = -3*u + 62, -2*u + 17 = u + 5*v. Let d = -8 + 16. Calculate the remainder when u is divided by d.
6
Suppose 7*w - 3*w - 168 = 0. Suppose 2*j = -2*b - 0*j + w, 5*b - 2*j - 126 = 0. Suppose -o - o = -b. What is the remainder when 23 is divided by o?
11
Let p(s) = -17*s**3 - 2*s**2 + 1. What is the remainder when 27 is divided by p(-1)?
11
Let i be 1/(15/6 - 2). Let s be (0/(-1))/(i - 1). Suppose 3*t + 4*h - 53 = s, -2*h - 19 = 5*t - 84. What is the remainder when 19 is divided by t?
8
Let a = 11 - 4. Calculate the remainder when 26 is divided by a.
5
Let r(m) = -m**3 + 17*m**2 + 19*m - 8. Let t(j) = 2*j**2 - 5*j - 5. Calculate the remainder when t(6) is divided by r(18).
7
What is the remainder when 33 is divided by 4/(-6) - 448/(-24)?
15
Suppose 7*p - 19 - 58 = 0. Calculate the remainder when p is divided by 7.
4
Let l = 4 + -11. Let v = 10 + l. Suppose -v*s + 175 = 2*s. Calculate the remainder when s is divided by 19.
16
Let z(p) = p**2 + 2. Let l be (12/2)/(6/3). Let u be z(l). Let h = u + -7. What is the remainder when 6 is divided by h?
2
Let i = 21 - -13. Let z(t) = -t**3 + 14*t**2 + 7*t - 2. Let k(d) = -d**2 - d + 1. Let y(x) = 6*k(x) + z(x). What is the remainder when i is divided by y(8)?
10
Suppose w - 2*o + 5 = 0, 0*w + 4*w = 5*o - 14. Let b(j) = -9*j + 1. 