
Let t be (-37)/(-2) - 1/2. Suppose 0 = f - t. Calculate the remainder when f is divided by (12 - 1) + 1 + -2.
8
Let m(q) be the third derivative of q**4/8 - 2*q**3/3 + q**2. Let b(d) = 2*d**2 + 1. Let n be b(-1). Calculate the remainder when m(n) is divided by 2.
1
Let i(p) = 37*p**2 - p - 2. Calculate the remainder when 143 is divided by i(-1).
35
Let b(u) = u**2 + 3*u + 2. Suppose -p - p = -3*m + 2, -m = 2*p - 14. What is the remainder when ((-6)/(-4))/(2/m) is divided by b(-3)?
1
Suppose -4*z + 32 + 59 = l, -2*z - 345 = -5*l. Calculate the remainder when l is divided by 37.
34
Let v be 2/(1/((-2)/(-2))). Suppose v*a = -a + 6. What is the remainder when a/5 - (-384)/15 is divided by 9?
8
Let x = -23 + 89. What is the remainder when x is divided by (-17*(-1)/4)/((-2)/(-8))?
15
Suppose 0 = 2*a - 6*a + 180. What is the remainder when a is divided by 16?
13
Calculate the remainder when -1*3 - (20*56)/(-4) is divided by 35.
32
Let q = 79 - -8. Calculate the remainder when q is divided by 30.
27
Suppose -188 = -7*t + 36. What is the remainder when 60 is divided by t?
28
What is the remainder when (-2 - 0 - -1) + 52 is divided by 18?
15
Let c = 11 + -14. What is the remainder when c*(-2 + (-123)/9) is divided by 12?
11
What is the remainder when (-6)/4*(3 + -17) is divided by 11?
10
Let h = 17 + -5. What is the remainder when ((-1)/(-2))/(3/132) is divided by h?
10
Let b be 2 - 2/4*-26. Suppose 63 = 5*n + 4*l + b, -4*n = -3*l - 26. What is the remainder when 30 is divided by n?
6
Let z be (1 - 2)*(1 - 22). Suppose 0 = -3*q - z - 48. Let k = 21 - q. Calculate the remainder when k is divided by 15.
14
What is the remainder when 51/(-1)*21/(-9) is divided by 30?
29
Suppose -2*q - 4*t + 20 = 2*q, -11 = -q + t. What is the remainder when 22 is divided by q?
6
Let g(y) = -29*y - 1. What is the remainder when 81 is divided by g(-1)?
25
Suppose -2*t = 3*t - 50. Suppose 8 = f - 11. What is the remainder when f is divided by t?
9
Let i(b) = 8*b. Suppose -4*n - 16 = -2*q, 3*n + 32 = 5*q + n. Let h = -4 + q. Calculate the remainder when i(h) is divided by 6.
4
Suppose 5*w = 4*x - 0*x + 399, 0 = 2*w - 3*x - 161. Calculate the remainder when w is divided by 4.
3
Let y(j) = -14*j - 38. Calculate the remainder when 137 is divided by y(-6).
45
What is the remainder when (-238)/(-28)*16/2 is divided by 18?
14
Suppose -28 + 13 = -3*k + 3*n, -3*k + 5*n + 9 = 0. Suppose -v = -5*v + k. Let z(g) = g**2 + g + 4. What is the remainder when z(0) is divided by v?
0
Let c(w) = -14*w**3 + 3*w**2 + 3*w + 2. What is the remainder when c(-2) is divided by 41?
38
Suppose -4*l + 4*w = -2*l - 28, 4*w - 72 = -3*l. Let t = 36 - l. What is the remainder when 46 is divided by t?
14
Suppose 0 = 5*j - 123 - 207. Calculate the remainder when j + (-5)/((-15)/12) is divided by 18.
16
Suppose -16 = -5*v + 189. Let u = -17 + v. Suppose 0*g + 92 = 2*g. What is the remainder when g is divided by u?
22
Suppose -5*t + 235 + 285 = 0. Calculate the remainder when t is divided by 27.
23
Let d be 2 + (-11)/(22/(-12)). Suppose 27 = -5*g + d*g. What is the remainder when g is divided by 6?
3
Suppose 5*c = -v + 81, -c + v + 38 = c. What is the remainder when 41 is divided by c?
7
Let i(c) = -c - 6. Let u be i(-6). Suppose -4*k + k - 12 = u. What is the remainder when 19 - 0*2/k is divided by 7?
5
Let p(c) be the third derivative of c**4/4 + 7*c**2. What is the remainder when 70 is divided by p(3)?
16
Suppose f - 2*u = -0*f + 83, 244 = 3*f - u. Calculate the remainder when 17 is divided by ((-1)/3)/((-3)/f).
8
Let t(g) be the second derivative of g**3/6 - 3*g**2 - g. Let n be t(5). What is the remainder when (n - 1)/((-6)/69) is divided by 12?
11
Suppose 5*m = -4*q - 36, 3*m - 3*q - 4 = q. What is the remainder when 46 is divided by (-6)/(-4)*(12 + m)?
10
Suppose 2*g - 5*r - 25 = -0*g, 0 = 4*r - 12. Suppose 0 = -z - 0*z - 2*l + 3, 0 = 3*l + 12. What is the remainder when g is divided by z?
9
Let d = -9 + 14. What is the remainder when 106/1 + (d - 4) is divided by 18?
17
Suppose -204 = -n - 2*n. What is the remainder when n is divided by 14?
12
Suppose l - 116 = -4*a, 4*a - 6*l + 3*l = 100. Calculate the remainder when 109 is divided by a.
25
Let z(r) = r**2 + 2*r + 3. Let s(n) = n + 8. Let d be s(-6). Let w be -1*(-3 + 1) + d. What is the remainder when z(w) is divided by 10?
7
Suppose 0 = -3*b + 3*j + 12 - 39, -5*j + 17 = -3*b. Let z = 41 + b. What is the remainder when 53 is divided by z?
26
Suppose 3*o = s + 8, 5*o - 21 = -5*s - 1. What is the remainder when 116/6 - s/3 is divided by 11?
8
Suppose -4*h = 1 + 3, -4*h + 46 = b. Calculate the remainder when b is divided by 13.
11
Let y = -48 - -129. What is the remainder when y is divided by 17?
13
Suppose -4*b + 0 = -8. Suppose 3 - 74 = -3*c + v, 2*v - 34 = -b*c. Calculate the remainder when 85 is divided by c.
19
Suppose -8 = -3*o + 4. Suppose -30 = -o*v + 2. Suppose -3*q = -3*h + 6, 0 = -5*h + 4*q + 13. What is the remainder when v is divided by h?
3
Suppose 4*z - 32 = a + a, -2*a - 16 = -2*z. Suppose -4*t - 8 = z, j - 30 = 3*t. Suppose -n - 52 = -2*n. What is the remainder when n is divided by j?
16
Suppose 5*v = -5*p + v + 335, 0 = -4*v. What is the remainder when p is divided by 14?
11
Suppose t + 2*t + 99 = 0. Let x = 58 + t. Suppose -2*a - u = -x - 3, -63 = -5*a + u. What is the remainder when a is divided by 7?
6
Suppose -4*c = 4*p - 44, 2*p + 0*p + 3*c - 24 = 0. What is the remainder when 1 + (-100)/(8/(-2)) is divided by p?
8
Let k = -1 - -11. Let w = k - 7. Calculate the remainder when 3 is divided by w.
0
Let j(w) be the first derivative of 1/2*w**2 + 1 + 4*w. Calculate the remainder when 10 is divided by j(0).
2
Suppose 0 = -2*s - 5 - 7. Let b be (-4)/(-3)*s/(-4). Suppose w - 11 = -2*q + 9, -3*w = -b*q + 4. Calculate the remainder when q is divided by 3.
2
Let a = 3 + 0. Let x = 2 - -1. Calculate the remainder when a is divided by x.
0
Let r(g) = g**2 + 2*g + 1. Let v be r(-1). Suppose v = 5*y - 31 + 6. Let l = 12 - 10. What is the remainder when y is divided by l?
1
Let m = -344 - -413. Suppose 5*a = 109 + 11. Calculate the remainder when m is divided by a.
21
Suppose 0 = 5*m + 3*d - 259, 0 = 4*m - 2*d + 71 - 265. What is the remainder when m is divided by 16 + (2 - 0 - 1)?
16
Let i = -12 + 14. Suppose -b - 119 = -2*d, -i*d - 5*b + 49 + 40 = 0. What is the remainder when d is divided by 15?
12
Suppose -2*m + 54 = m. Calculate the remainder when m is divided by 5.
3
Suppose -5*q + 9 = -6, -2*n + 2*q = 8. Let b = 35 + 2. What is the remainder when b is divided by 16 + n - (1 - -1)?
11
Let b(t) be the second derivative of 11*t**4/6 - t**2 + t. Calculate the remainder when b(-2) is divided by 22.
20
Let q(p) = -p**3 + 5*p**2 + 6*p + 5. What is the remainder when (-15)/10*14/(-3) is divided by q(6)?
2
Let q(u) = -u**2 + 15*u - 11. Let z be q(14). Suppose 5*v - 1 = -2*j, z*j - 5*j + 2*v + 36 = 0. Calculate the remainder when j is divided by 5.
3
Suppose 2*m - 93 = -3*s, -4*m + 187 - 63 = 4*s. Calculate the remainder when 92 is divided by s.
30
Let x be 2/10 - 4/20. Suppose x = -5*i + 44 + 1. What is the remainder when 25 is divided by i?
7
Suppose i = -k + 10, -2*i + k + 2*k + 15 = 0. What is the remainder when 33 is divided by i?
6
Let t(m) = -16*m - 8. Let a(i) = 32*i + 15. Let r(c) = 6*a(c) + 11*t(c). What is the remainder when r(2) is divided by 9?
7
Suppose 3*q - m = 2*m + 33, 3*q + m = 25. Suppose 0*b - 33 = -b. What is the remainder when b is divided by q?
6
Suppose -4*x + 51 = -29. What is the remainder when 39 is divided by x?
19
Let o = -1 + 19. Suppose -34 = 5*v - 84. Calculate the remainder when o is divided by v.
8
Let z(q) = -q**2 - 4*q - 2. Let a be z(-2). Suppose -46 = -3*h - a*i, 3*h - 3*i - 52 = i. What is the remainder when h is divided by 6?
4
What is the remainder when 45 is divided by 13/(-13)*(-1*1 + -15)?
13
Let v = -148 + 165. Calculate the remainder when 99 is divided by v.
14
Let i = -4 + 6. Suppose 2*k + i*k + u - 24 = 0, -4*k + 40 = 5*u. Calculate the remainder when 9 is divided by k.
4
Let u be (-2)/(-8) - (-354)/24. Suppose 0 = 2*y - y - 1, w + u = -5*y. What is the remainder when 18 is divided by (6/(-6))/(2/w)?
8
Suppose z = -5*j - 22, -z - 2*j + j = 42. Let r = -21 - z. What is the remainder when 103 is di