*2 - 4*s - 4. Let c be f(4). Let u = c + 7. Suppose u*g = -g + 56. Calculate the remainder when g is divided by 8.
6
Let l = 82 - 53. What is the remainder when l is divided by (-4)/(-18) + 133/9?
14
Suppose 0 = 4*j - 0*j + 2*h - 122, -j - 4*h + 20 = 0. Let d = j - 21. What is the remainder when 31 is divided by d?
9
Suppose 2*s + 123 = -a + 4*a, -3*a + 4*s = -129. What is the remainder when a is divided by 7?
4
Suppose -c = c - 132. Suppose -5*l + 4 + c = 0. Calculate the remainder when 25 is divided by 6/(-21) - (-102)/l.
4
Let y(q) = 5*q - 16. Calculate the remainder when y(7) is divided by 6.
1
Let r(d) = -d**3 + 7*d**2 + 7*d + 5. Let x be r(8). Calculate the remainder when 11*6*x/(-6) is divided by 12.
9
Let w(c) = -39*c**2 + 21*c**2 + 17*c**2 - 9 + 16*c. Calculate the remainder when w(12) is divided by 10.
9
Suppose 0 = o + 2*o - t - 22, o - 3*t = 10. Let i(z) = z**3 - 6*z + z**2 + 4 - 1 - 6*z**2. What is the remainder when o is divided by i(6)?
1
Let o(j) = 19*j - 4. Calculate the remainder when o(9) is divided by 24.
23
Suppose 0 = k + 162 - 216. Calculate the remainder when k is divided by 5.
4
Let v(m) = 3*m**2 + m + 2. What is the remainder when 76 is divided by v(-3)?
24
Let q = -7 - -10. Calculate the remainder when 11 is divided by q.
2
Suppose 3*f = 2*s + 2*s - 251, -254 = -4*s + 2*f. Calculate the remainder when s is divided by 11.
10
Suppose 2*z + 2*m = -4, -m - 5 + 1 = 0. Suppose -3*s + 4*l = -z, -2*s - 14 = -s - 5*l. Suppose -3*u + 68 = u. What is the remainder when u is divided by s?
5
Suppose 4*q = 5*h + 134, 0*q + 4*q - 116 = -4*h. Calculate the remainder when q is divided by 16.
15
Let a be (6/4)/(15/(-100)). Let i(t) = -t**3 - 10*t**2 + 4. Calculate the remainder when i(a) is divided by 6/4*(-6)/(-3).
1
Let y(u) be the first derivative of 8*u**2 + 2*u + 3. What is the remainder when y(2) is divided by 18?
16
Suppose 5*r - 38 = -4*q, -2 = -2*r + q + 4*q. Let n = -6 + r. Suppose o - 165 = -4*h, 5*o + 135 = 4*h - n*o. Calculate the remainder when h is divided by 14.
12
Let n = -11 + 20. Let k be -1 + (-2 - -1) - -53. Suppose 6*a - k = 3*a. Calculate the remainder when a is divided by n.
8
Calculate the remainder when 62 is divided by 21 - 1 - (1 + -2).
20
Suppose -2*u - 4*k = -10, 0 = -4*k - 23 + 3. Let w = -1 + 4. Suppose 35 - 11 = w*n. What is the remainder when u is divided by n?
7
Let k(j) = 7*j**3 - j. Let b be k(-1). What is the remainder when 10 is divided by 5 - b/(-3) - -3?
4
Let w(r) = r - 1. Let x(o) = -o**3 + 2*o**2 + o + 2. Let h be x(2). Suppose 0 = -2*d - 3 - 5, 4*g + h*d = 4. What is the remainder when g is divided by w(4)?
2
Suppose -5*g + 596 = -0*g - 4*r, -20 = 5*r. Suppose -4*o + 12 + g = 0. Calculate the remainder when o is divided by 11.
10
Suppose 0 = -13*h - 0*h + 2457. What is the remainder when h is divided by 64?
61
Let s be 6/(-9)*3 + 2. Let x = s - 1. What is the remainder when 27 + (-4 - x)/(-3) is divided by 15?
13
Suppose 3*u - 42 = -0*u. Suppose 0 = r - b - 7, -4*r - 12 = -0*r + 4*b. Let v(j) = 4*j**3 + 3*j**2 - j - 1. What is the remainder when v(r) is divided by u?
13
Let k(a) = a**2 - 5*a - 4. Let q be k(6). Let y(t) = t. Let c(l) = -9*l**2 + 4*l. Let j(f) = -c(f) + 6*y(f). What is the remainder when j(q) is divided by 14?
12
Calculate the remainder when 194 is divided by (-6)/8 + (-1194)/(-24).
47
Let z(v) = v**2 + 7*v + 11. Calculate the remainder when z(-10) is divided by 14.
13
Let c = 58 - 13. Calculate the remainder when c is divided by (46/8)/(2/8).
22
Let s = 9 - 2. Let n(y) = 19*y - 17. Let j(q) = 9*q - 8. Let d(o) = 7*j(o) - 3*n(o). Calculate the remainder when d(s) is divided by 19.
18
Let t(d) = d**2 + 11*d. Suppose 0*s + 72 = -6*s. What is the remainder when 35 is divided by t(s)?
11
Let q = -140 + 160. Calculate the remainder when q is divided by 3.
2
Let f(p) = 6*p**3 + 2*p**2 - 1. Let k be f(-1). Let j(a) = -a**2 - 11*a - 3. What is the remainder when j(k) is divided by 15?
12
Suppose -m + 2 + 1 = 0, -m + 45 = 3*x. Calculate the remainder when 54 is divided by x.
12
Let g = -138 + 93. Let y = g + 85. Calculate the remainder when y is divided by 14.
12
Suppose 0 = -6*s + 7*s - 15. Calculate the remainder when 88 is divided by s.
13
Let v(s) = -s**3 + 5*s**2 + 9*s - 2. What is the remainder when (-3)/((1/(-2))/(87/18)) is divided by v(6)?
13
Let b(g) = -8*g - 11. What is the remainder when 142 is divided by b(-3)?
12
Suppose -68 = -4*x + 6*v - v, 5*v = 3*x - 56. Let y = -11 + x. What is the remainder when 1 is divided by y?
0
Suppose 0 = 5*r - 46 + 16. What is the remainder when r is divided by 4?
2
Let z(x) = 4*x + 9. Let n be z(8). Let v be 72 + (2 - (-4 - -7)). Let h = v - n. Calculate the remainder when h is divided by 11.
8
Let d(o) = -o**2 - 3*o. Let j be d(-3). Suppose 3*z - 27 - 24 = j. Calculate the remainder when 49 is divided by z.
15
Suppose -3*r + 7 + 26 = 0. Calculate the remainder when 29 is divided by r.
7
Let r = 45 - 20. Calculate the remainder when 65 is divided by r.
15
Suppose 3*g - 4*p + 5 + 0 = 0, g + 4 = -p. Let s be (-2 - -2)/(g/1). What is the remainder when 52 is divided by -1 - s - (3 - 22)?
16
Suppose -i = -3*g - 5*i + 17, -g + 3 = 2*i. Let a = 3 + g. What is the remainder when 40 is divided by a?
12
Suppose -5*n - 2*a - 2*a = -122, -a - 54 = -2*n. What is the remainder when 75 is divided by n?
23
Suppose -3*j - w + 68 = 0, 0*w = 5*j - 4*w - 136. Calculate the remainder when j is divided by 7.
3
Let y(x) = -x**3 - x**2 - x + 57. What is the remainder when y(0) is divided by 29?
28
Let d(m) = -3*m + 61. Calculate the remainder when 15 is divided by d(19).
3
Suppose 2*z + 4*b - 37 = -7, -27 = -2*z - b. Suppose -5*j + 4*x + 13 = 0, -3*j - 2*j - 5*x = -40. Calculate the remainder when z is divided by j.
3
Let a(s) = -4*s - 43. Calculate the remainder when 9 is divided by a(-12).
4
Suppose t + 2*b = 12, -2*t - 2*b = 2*t - 18. Suppose 0 = -n - 0*n + 3. Calculate the remainder when n is divided by t.
1
Let d(o) = -2*o**2 + 3*o - 4. Let v be d(-3). Let m = 15 - v. What is the remainder when m is divided by 12?
10
Let w = 40 + -25. Suppose 3*o + 0 = w. Let u = 36 + -22. What is the remainder when u is divided by o?
4
Suppose -5*d = 15, 3*r + 0*r + d - 90 = 0. Let g = r + -10. What is the remainder when g is divided by 11?
10
Suppose 11 = 74*n - 73*n. Calculate the remainder when 22 is divided by n.
0
Suppose 10*y = 6*y. Suppose j + y*j - 2*d - 17 = 0, -5*j + 60 = -5*d. What is the remainder when 27 is divided by j?
6
Suppose -325 = -o - 4*o. Calculate the remainder when o is divided by 22.
21
Suppose -11 = -w - 0*w. Let i = w + 6. What is the remainder when 48 is divided by i?
14
Suppose 7*z + 2*n = 4*z + 65, 0 = -5*z + 4*n + 79. What is the remainder when 56 is divided by z?
18
Let h = -7 - -11. Let v = h - -2. Calculate the remainder when v is divided by 3.
0
Suppose 5*s + 2*i + 2 = 22, 0 = 5*s + 4*i - 20. What is the remainder when 22 is divided by s?
2
Suppose 0 = -2*y - 0*m - 4*m + 16, -3*y - 4*m = -14. Let k be 2/(4/y)*-14. Suppose 0 = -s + 5 + k. Calculate the remainder when s is divided by 7.
5
Let d(y) be the third derivative of -y**5/60 + 7*y**4/24 - 5*y**3/6 + 5*y**2. Suppose p - 12 = 8. What is the remainder when p is divided by d(4)?
6
Let k(u) = 2*u - 4. Let h be k(-3). Let c = h + 5. Let v = c - -14. Calculate the remainder when 25 is divided by v.
7
Let m = -17 + 29. Suppose 0 = -3*q - 5*w + 90, -5*q + w + 108 = -2*q. What is the remainder when q is divided by m?
11
Let v(y) = -2*y. Let h(m) = -m**3 + 4*m**2 + m - 4. Let r be h(4). Suppose r*o - 5*o = 30. What is the remainder when v(o) is divided by 7?
5
Let n(q) = -q**3 + 4*q**2 + 3*q - 4. Let b be n(4). Suppose -2*o + 5*i + 50 = -0*o, 0 = 4*i + 16. What is the remainder when b/(-32) - (-234)/8 is divided by o?
14
Suppose -3*d = -5*g + d + 114, 4*g - 3*d - 91 = 0. Let b = 25 + -13. What is the remainder when g is divided by b?
10
Suppose 0 = -5*p + 4*p + 11. Calculate the remainder when 32 is divided by p.
10
Suppose 4*z + 57 = 4*d + 3*z, -3*d = 4*z - 57. Suppose 2*k + 59 = 145. Calculate the remainder when k is divided by d.
13
Suppose -3 = h - 0. Calculate the remainder when 37/h*-3 - 3 is divided by 12.
10
Let b(f) = -f**3 + 7*f**2 + 12*f - 5. Calculate the remainder when b(8) i