. Let y be (16/(-3))/(v/9). Let r(q) = q**3 - 9*q**2 + 9*q. Calculate the remainder when 31 is divided by r(y).
7
Let y(r) = 16*r**3 + r. Calculate the remainder when y(1) is divided by 10.
7
Let a(t) = t**2 + 5*t - 9. Calculate the remainder when 16 is divided by a(-7).
1
Let b be (-4 - -2)*5/(-2). Suppose 4*f - 44 + 18 = -2*x, -b*f + 10 = -2*x. Suppose 0 + f = -n, n = 4*c - 44. Calculate the remainder when 18 is divided by c.
8
Suppose -3*l + 5 = -49. What is the remainder when 33 is divided by l?
15
Let t(g) = g**2 - 6*g + 3. Let j be t(7). What is the remainder when 53 is divided by ((-56)/j)/((-4)/10)?
11
Suppose 238 = 4*r - 94. Calculate the remainder when r is divided by 42.
41
Suppose 3*s = 93 + 66. Calculate the remainder when s is divided by 18.
17
Let k be 6/(-2) - (-9)/1. Calculate the remainder when (-2)/(-3) + 2/k is divided by 1.
0
Let l(s) = s**2 + 7*s + 6. What is the remainder when l(-9) is divided by 10?
4
Let o(z) be the second derivative of z**4/6 + z**3/3 + z. Let a = -63 + 66. Calculate the remainder when o(-2) is divided by a.
1
Suppose -3*f + 0 = -6. Suppose -3*p + 6 = -f*n, 4*p = -2*n + p + 18. Suppose -133 = -4*q - n*w, 3*w - 3 + 6 = 0. What is the remainder when q is divided by 12?
10
What is the remainder when 93 is divided by 6/24 + -2 + 103/4?
21
Let m(y) = -2*y + 4. Suppose -32 = 5*u - w + 3*w, 0 = 5*u - 2*w + 48. What is the remainder when 77 is divided by m(u)?
17
What is the remainder when 18*(-1 - 38/(-4)) is divided by 14?
13
Let k be 9*(2 - (-20)/(-12)). Suppose 2*j - 18 + 68 = 4*h, 75 = 4*h + k*j. Calculate the remainder when 42 is divided by h.
12
Let z(u) = -5*u**3 + 4*u**2 + u - 3. Let h be z(-3). Suppose 3*o - h = -3*c, 4*c + 74 = 2*o + 264. Calculate the remainder when c is divided by 13.
11
Let h(c) = -c**2 + 4*c + 6. Let q be h(5). What is the remainder when 49/(-7)*(-6 + q) is divided by 13?
9
Let s = 125 + -55. Suppose 2*t - 3*k - 32 = 0, 6*t + k = 3*t + s. What is the remainder when 64 is divided by t?
20
Let r = 179 - 123. What is the remainder when r is divided by 19?
18
Suppose 0 = 5*i - 2*i - 135. Suppose -8*z + 69 = -5*z. Calculate the remainder when i is divided by z.
22
Suppose -7*g + 140 = -2*g. Calculate the remainder when g is divided by 15.
13
Let g = 0 - -3. Suppose 5*f + 38 - 11 = -3*i, g*f - 4*i - 7 = 0. What is the remainder when (-2 - -5)/f*-13 is divided by 7?
6
Suppose 3*x = 3*v, -5*x + 0*x = 5*v - 20. Suppose 0 = -2*t + t - x. What is the remainder when 21 is divided by (-97)/(-9) + t/(-9)?
10
Let w be 256/(-136) + (-2)/17. What is the remainder when (-1400)/(-21) - w/6 is divided by 14?
11
Suppose -49 + 3 = -2*m. Calculate the remainder when 61 is divided by m.
15
Suppose -g + 0 = -4*w + 18, 5*w - 19 = 3*g. Let j = 10 + w. Suppose -z + j = -c + 2*c, 1 = c. What is the remainder when 41 is divided by z?
13
Let q be 8/12*3*72. Let h(m) = 47*m - 1. Let x be h(-2). Let j = q + x. Calculate the remainder when j is divided by 17.
15
Suppose -2*l + 5*q = -1, -5*q + 5 = -4*q. Calculate the remainder when l is divided by 8.
5
Suppose 120 = 2*v + v. Suppose 54 - 20 = 2*f. Suppose -n + f = 3. Calculate the remainder when v is divided by n.
12
Suppose -8 = a + y, 5*y - 9 = 2*a - 28. Let q(z) = 3*z + 34. What is the remainder when (-27)/2*4/a is divided by q(-8)?
8
Suppose -4*g - 142 = -5*g. Calculate the remainder when g is divided by 24.
22
Let t(g) = g**3 + 3*g**2 - 2*g - 3. Let b be t(-3). Suppose 0 = -a - b*a + 4, -3*a = -2*j + 41. Calculate the remainder when j is divided by 12.
10
Let i = -11 + 22. What is the remainder when i is divided by 5?
1
Let f = 20 + -9. Suppose 5 = -g, -2 = -h + g + 4. Calculate the remainder when f is divided by h - (-3 + 3 - 3).
3
Calculate the remainder when 44/(-16) + 2 - 86/(-8) is divided by 7.
3
Suppose 8*d = 3*d + 30. Calculate the remainder when 10 is divided by d.
4
Let a(x) = -3*x - 2. Let q(f) = 3*f + 2. Let v(l) = -3*a(l) - 4*q(l). Let p be 1 - (2 + -3)*-5. What is the remainder when v(p) is divided by 6?
4
Let k(n) = n - 1. Let w be k(1). What is the remainder when 58 is divided by -3 + w + (-33)/(-1)?
28
Suppose 84 + 2 = 2*c. What is the remainder when c is divided by 12?
7
Suppose 0*f + 72 = 4*f. Calculate the remainder when 45 is divided by f.
9
Let j = 257 - 138. Let f = 57 - j. Calculate the remainder when ((-3)/6)/(1/f) is divided by 11.
9
Suppose 0 = -2*z + 5*z - 33. What is the remainder when 31 is divided by z?
9
Suppose 3*n + 3*p - 63 = 0, -4*p + 39 + 23 = 3*n. What is the remainder when 39 is divided by n?
17
Let a be ((-1)/(-3))/(1/63). Suppose -14*k + a = -11*k. Suppose 2*v - 52 = -0*v. What is the remainder when v is divided by k?
5
Suppose -3*a - 360 = -5*a. Suppose a = -0*b + 2*b. Calculate the remainder when b is divided by 23.
21
Suppose -210 = -5*b - d + 6*d, -4*b = -5*d - 172. What is the remainder when b is divided by 20?
18
Suppose 0*s + 66 = 11*s. What is the remainder when s is divided by 2?
0
Suppose -5*p = v - 146, -3*p - 2*v + 70 = 3*v. Suppose 0 = 3*g + 6*g - 99. Calculate the remainder when p is divided by g.
8
Let x be 10/40 + 1285/(-4). Let k = -226 - x. Calculate the remainder when k is divided by 24.
23
Let w(z) = -6*z - 8. Calculate the remainder when 45 is divided by w(-4).
13
Suppose -3*b + 9 + 3 = 0. Suppose 4*x + 5*w - 26 = 3*x, 0 = x - 5*w + 14. Calculate the remainder when x is divided by b.
2
Let g(t) = -4 - t**2 + 2 + 3 + 10*t. Calculate the remainder when g(8) is divided by 10.
7
Suppose 2*s - 3*s + x + 8 = 0, -2*x = s + 7. Suppose 7*q - s*q - 68 = 0. Calculate the remainder when 32 is divided by q.
15
Suppose -3*u = -6 - 0. What is the remainder when 87 is divided by (-31 - -1)*(-3 + u)?
27
Suppose 0*g - 2*j - 82 = -2*g, 3 = -j. What is the remainder when 74 is divided by g?
36
Let q be 2*(-93)/6 - -1. Let w = q - -18. Let j = -2 - w. Calculate the remainder when 39 is divided by j.
9
Suppose -10 = 2*q - 34. Let t(j) = -10*j - 3. What is the remainder when q is divided by t(-1)?
5
Let h(m) = -3*m**2 - 2*m + 13. What is the remainder when h(0) is divided by 6?
1
Let p(y) = -y**3 + 5*y**2 + y + 3. Let j(h) = 2*h**3 - 1. Suppose -4*z + 3 = -5. What is the remainder when j(z) is divided by p(5)?
7
Let b be 53 + -6*(-2)/(-4). Suppose -5*i - 5*v = -60 - b, -v = -5*i + 140. Calculate the remainder when 52 is divided by i.
25
Calculate the remainder when 41 is divided by 13 + (-1 - (1 + 0)).
8
Let t(k) = -4*k + 3. Let y be t(6). What is the remainder when 2/(-7) + (-384)/y is divided by 10?
8
Let v(w) = 5*w + 8. Suppose -3*m + m + 43 = -k, 4*k - 4*m + 152 = 0. Let p = 55 + k. Calculate the remainder when p is divided by v(0).
6
Suppose 0 = v - 55 - 293. Suppose 3*m = -0*m + v. Suppose 2*h + 2*h - m = 0. What is the remainder when h is divided by 8?
5
Calculate the remainder when 63 is divided by -4 + 2 - (-34 - 1).
30
Let a = 104 - 70. Calculate the remainder when 5 is divided by (-3)/(-5) + a/10.
1
Let n be 31 + (-3 - -2) + 3. Suppose -4*o = -r - 18, 3*r + r + 5*o = n. Calculate the remainder when 3 is divided by r.
1
Suppose r - 19 = -6. What is the remainder when r is divided by 4?
1
Suppose -3*v + 98 = 2. Suppose -3*u = -4*l - 21, 0*l + 40 = 5*u - 5*l. Calculate the remainder when v is divided by u.
10
Suppose -l = -v + 7 + 3, -v - 5*l - 20 = 0. What is the remainder when 22 is divided by v?
2
Let o(x) = x + 32. What is the remainder when o(0) is divided by 11?
10
Suppose -5*p + 6 = -24. What is the remainder when 19 is divided by p?
1
Suppose -4*h = -2*h + 6. Let y(p) = -p**3 - p**2 + 3*p - 1. Suppose 45 = -2*v + 5*v. Calculate the remainder when v is divided by y(h).
7
Let j(r) = -2*r**3 - 7*r**2 + 5*r - 9. Let a = -68 + 104. What is the remainder when j(-6) is divided by a?
33
Suppose -24 = -5*k + 6. Suppose -46 = -n - n. What is the remainder when n is divided by k?
5
Suppose 38*h - 36*h - 40 = 0. What is the remainder when 38 is divided by h?
18
Suppose 0 = 5*z - 10*z + 535. What is the remainder when z is divided by 36?
35
Suppose -2*f + 3*f + 1 = 0. Let s be f/(3/((-54)/(-2))). Let m = 15 - s. What is the remainder when 46 is divided by m?
22
Let y(j) = j**2 - 3*j + 4. Let g be y(-3). Suppose -2*v - 3*r = -g, 7*v - 4*r - 32 = 2*v. Calculate the remainder when v is divided by 3.
2
Let p be 5 