 when q(16) is divided by c.
4
Let g = 0 + 2. Suppose -g*s - 16 = -6*s. Suppose -16 = -3*x + s*z + 6, 3*z - 1 = x. Calculate the remainder when x is divided by 8.
6
Suppose -90 = -3*m + 2*f, 2*m - 150 = -3*m + 2*f. Suppose 5*a - 40 - m = 0. Calculate the remainder when 54 is divided by a.
12
Suppose 2*d - 5*d = 0. Suppose -3*n = -d*n - 57. What is the remainder when 54 is divided by n?
16
Let q = 0 - -2. Suppose -48 = -q*z - 4*n, z + z + 2*n = 42. Let u = z - 3. Calculate the remainder when 27 is divided by u.
12
Suppose f - 3*f = -8. Suppose -9*a + 110 = -f*a. Let z = 33 - a. Calculate the remainder when 20 is divided by z.
9
Let w(c) = 77*c - 1. Let x be w(-1). Let l be x/(-21) - 2/(-7). Suppose -l*y + 24 = -2*y. Calculate the remainder when 34 is divided by y.
10
Let r = 89 + -73. Suppose 5 + 11 = 4*u. Calculate the remainder when 2/u + (-122)/(-4) is divided by r.
15
Let z be 8 - (6 - (4 + -1)). Let t = 15 - z. Calculate the remainder when t is divided by 0 + -1 + 0 + 5.
2
Let h(g) = -2*g**3 - 6 + 9*g + g**3 - 5*g**2 + 2. Let x be h(-7). Let l = x - 21. What is the remainder when l is divided by 4?
2
Suppose 5*b + 15 = -c - c, 5*b + 25 = 0. Let g be 16 + -2 - (2 - 1). Suppose -f + g = -0. What is the remainder when f is divided by c?
3
Let n(x) = -x**2 + 7*x - 4. Let g be n(6). Suppose -48 = -5*l + 4*b, l = 6*l + g*b - 36. Let i = 61 + -38. Calculate the remainder when i is divided by l.
7
Suppose 0 = i - 3*u - 8, -5*u + 13 + 11 = 3*i. Suppose 2*z + i = -v + 3*z, 0 = -2*z - 2. Calculate the remainder when 9 is divided by v*(-4)/6 + -1.
4
Let k be (-2)/5 - (-10)/25. Let s = k + 12. What is the remainder when 58 is divided by s?
10
Suppose 0 = -5*q + 25, 0*g + 3*q - 22 = -g. Calculate the remainder when 1*20 - (1 - 1) is divided by g.
6
Let d(c) = -c**2 + 7*c - 6. Let a be d(5). Suppose -5*n - x + 11 = -84, 0 = 5*n - a*x - 120. Calculate the remainder when 57 is divided by n.
17
Let q(j) = j**2 - 16*j + 22. Let z = -35 - -50. Calculate the remainder when 25 is divided by q(z).
4
Let g(q) = -2*q + 3. Let i = 45 - 18. Suppose -b - i = -61. What is the remainder when b is divided by g(-3)?
7
Let j = -22 - -24. What is the remainder when (8/7 + -2)*-7 is divided by j?
0
Suppose 5*v - 84 = 4*x, 5*x = -3*v + 48 + 32. Let d = -3 - -3. Suppose -s + 3*n = -43, -4*s - n + 0*n + 237 = d. Calculate the remainder when s is divided by v.
18
Suppose 3*h - 4*h - 35 = -5*d, 0 = 2*d + 4*h - 14. What is the remainder when 40 is divided by d?
5
Let v = 11 + 5. What is the remainder when 61 is divided by v?
13
Let w(v) = -v**3 - 7*v**2 + 8*v + 4. Let j = -10 - -2. Calculate the remainder when 9 is divided by w(j).
1
Let j(z) = -z**3 - 4*z**2 + 6*z + 5. Let q be j(-5). What is the remainder when 52 is divided by 60/4 + (3 - q)?
16
Let k(w) = -w - 5. Let f be k(-6). Let x = f - -1. Suppose 3*v - 1 = x*v. Calculate the remainder when 2 is divided by v.
0
Let y = -24 + 47. Suppose 0 = -2*v + 1 - 11, 3*x - 4*v = 221. What is the remainder when x is divided by y?
21
Let k = 75 + -70. Calculate the remainder when 67 is divided by k.
2
Let n be 1/(-2) + 71/(-2). Let u = n - -20. Let r = -11 - u. Calculate the remainder when r is divided by 2.
1
Let z = -121 - -132. What is the remainder when 6/(-9) - (-190)/6 is divided by z?
9
Let l(u) = -u**3 - 5*u**2 - 7*u - 7. Let y be l(-5). Let a = 46 - y. What is the remainder when 14 is divided by 150/a + (-1)/3?
6
Let j(z) = -3*z**3 - 2. Suppose 0 = 2*q - 0*p - p - 57, q + 2*p - 31 = 0. Suppose -4*t = -3 - q. Calculate the remainder when j(-2) is divided by t.
6
Let h be (1/2)/((-1)/(-78)). Suppose 0 = -3*u + h - 12. What is the remainder when u is divided by 5?
4
Let b = 3 - 3. Calculate the remainder when 8 is divided by (-3)/3 + b + 4.
2
Suppose -4*a = 39 - 191. Calculate the remainder when a is divided by 14.
10
Suppose 9*p - 7 - 191 = 0. What is the remainder when 62 is divided by p?
18
Let d be (-2 + (-18)/3)/(-2). Let s be (12/d)/(3/(-16)). Let f = s - -26. Calculate the remainder when 28 is divided by f.
8
What is the remainder when 614/10 + (-12)/30 is divided by 8*2 - 0/1?
13
Let g = -24 + 69. Calculate the remainder when g is divided by 17.
11
Suppose 5*d - 17 = 3*s, 2*s - 21 = -5*d + s. Suppose h - 5*b - 38 = -0*b, 3*h - d*b - 70 = 0. Calculate the remainder when h is divided by 7.
4
Let y(f) = -f**2 + 6*f - 1. Let t be y(4). Let z = -28 - -30. Suppose -4*n + 20 = s, -n + t - z = -2*s. What is the remainder when n is divided by 3?
2
Suppose -g + 126 = 5*v, -g - 4*g = 4*v - 105. Let f = -2 + v. What is the remainder when f is divided by 12?
11
Suppose 5*n = g + 13, -4*n + 39 = 2*g - n. What is the remainder when 58 is divided by g?
10
Let s(z) = -z**3 + 9*z**2 - 9*z - 7. Let p be s(7). Suppose -4*j + p = -4*b, -4*b + 5*b = 4*j - 37. Calculate the remainder when j is divided by 3.
1
Calculate the remainder when 169/9 + (-6)/(-27) is divided by 8.
3
Let t be (-2 + 3/1)*1. Calculate the remainder when 8 is divided by (-8)/(-8)*3/t.
2
Suppose 10 = -w + 39. Suppose -15 = -v - m - 5, 3*m - 6 = 0. What is the remainder when w is divided by v?
5
Let c(r) = r**2 - 7*r + 5. Let o(m) = -m**2 + 6*m - 6. Let h(l) = -4*c(l) - 3*o(l). Calculate the remainder when 41 is divided by h(6).
19
Suppose -b - 4*y - 16 = 0, -y - 2*y = -3*b + 12. What is the remainder when 1 + b - (-8 - 2) is divided by 3?
2
Suppose 2*i = -5*d - 2*i + 30, 5*d + 5*i - 35 = 0. Suppose 2*f - 19 = -3. Suppose 3*t - f*t + 15 = 0. Calculate the remainder when t is divided by d.
1
Suppose -67 = -2*r + r. Let t(p) = -p**3 + 9*p**2 - 6*p + 7. What is the remainder when r is divided by t(8)?
21
Let h(w) = 4*w**3 - w**2 + 1. Calculate the remainder when h(2) is divided by 8.
5
Suppose 3*s + 2*s - 45 = 0. Calculate the remainder when s is divided by 7.
2
Let q be 5/(12/(-8) - -4). Suppose m + 3 = 0, 6*m + 38 = 2*d + q*m. Calculate the remainder when 36 is divided by d.
10
Suppose 2*g = -5 + 11. What is the remainder when g is divided by 1?
0
Suppose 0*h = -h - 12. What is the remainder when h/30 + (-114)/(-10) is divided by 4?
3
Calculate the remainder when 19 is divided by 511/105 - 4/(-30).
4
Let t = 2 - 2. Suppose -u + 39 + 1 = t. Suppose -3*i - i + b + 61 = 0, -4*i + 5*b = -81. Calculate the remainder when u is divided by i.
12
Let i(n) be the second derivative of -3*n**3/2 - 4*n**2 - 3*n. Let b(t) = -3*t + 7. Let z be b(5). What is the remainder when i(z) is divided by 22?
20
Suppose -8 = -2*r - 2. Suppose 3*f + 146 = 2*n, r*n - 3*f = -n + 280. Calculate the remainder when n is divided by 23.
21
Suppose 4*n - 101 - 59 = 0. What is the remainder when 79 is divided by n?
39
Let i be (9/27)/((-1)/9). Let y(u) = u**2 - 3*u + 4. Calculate the remainder when 85 is divided by y(i).
19
Let q be 20/(-2)*3/(-5). Suppose -q*o + 89 - 23 = 0. What is the remainder when o is divided by 4?
3
Let u(r) be the second derivative of 3*r**3/2 - 7*r**2/2 + 3*r. What is the remainder when u(4) is divided by 10?
9
Suppose k - 13 = 3. What is the remainder when k is divided by 3?
1
Suppose -54 = -3*q - p - 2*p, 0 = 3*q - p - 34. Calculate the remainder when q is divided by 2.
1
Let p(t) = 2*t**2 - 8*t - 5. Let q = 14 - 8. Calculate the remainder when 36 is divided by p(q).
17
Let p = 10 + 11. Calculate the remainder when 61 is divided by p.
19
Let z be (-4)/2 - -6 - 1. What is the remainder when 89 is divided by (17/1 - -3) + z?
20
Suppose 5*f - 50 = -5*w, -8*f + 22 = -5*f + 5*w. Calculate the remainder when 51 is divided by f.
9
Calculate the remainder when (-4)/(-18) - (-3368)/72 is divided by 12.
11
Let l(n) = 6*n + n**3 + 6*n**2 - 3*n**3 + 7 + 3*n**3. Calculate the remainder when 5 is divided by l(-5).
1
What is the remainder when 13 is divided by 7*(135/35 + -3)?
1
Let h(p) = -p**3 + 29*p**2 + 31*p - 12. What is the remainder when (-1 + (-29)/(-3))*6 is divided by h(30)?
16
Suppose -x = 5*t + 3*x + 2, 0 = -t - x. Let n = -1 - -2. What is the remainder when n is divided by (1 + 3 + t)/2?
0
Let z(a) = a**2 + 6*a + 8. What is the remainder when 57 is divided by z(-7)?
12
Suppose -v + 53 = 4*s - 102, 187 = 5*s - v. What is the remainder when s is divided by (-9 + 7)/(-3*2/63)?
17
Suppose -4*f - k = -37, k + 22 = 4*f - k. Calculate the remainder when 21 is divided by f.
5
Suppose 547 