. Let o(u) = -2*u - 3. Let s(d) = -4*l(d) - 3*o(d). Let g(h) = -h**3 + 6*h**2 + 3*h - 9. What is the remainder when s(12) is divided by g(6)?
8
Let v = 145 + -71. Calculate the remainder when v is divided by 20.
14
Let m(h) = 0*h**2 - h**2 - 3*h + 8 - 3*h. Let p = 114 - 109. What is the remainder when m(-6) is divided by p?
3
Let j(n) = -n**2 - n - 1. Let v(l) = -4*l**2 - 4*l - 9. Let m(b) = -5*j(b) + v(b). Calculate the remainder when 21 is divided by m(-4).
5
Let z(c) = 21*c**2 - c. Let o(r) = r**3 - 3*r**2 + r - 2. Let n be o(3). What is the remainder when z(n) is divided by 11?
9
Let m = 5 + 5. What is the remainder when 38 is divided by m?
8
Suppose 7 = -5*i + 57. Let d(f) = 4*f - 3. What is the remainder when d(8) is divided by i?
9
Let q be (-58)/(-4) + 9/18. Let o = 35 - q. Calculate the remainder when 59 is divided by o.
19
Let i = -30 + 83. Calculate the remainder when i is divided by 11.
9
Let u(d) = d**2 + 6. Let o = 10 + -5. Calculate the remainder when u(o) is divided by 11.
9
Let u(i) = i - 2. Let s be (5 - -2) + (1 - 2). Let r be u(s). Suppose -22 - 10 = -r*t. Calculate the remainder when 14 is divided by t.
6
Let l = 23 - -22. Calculate the remainder when l is divided by 16.
13
Suppose 4*b + b + 20 = 0, -4*l + 60 = -4*b. Calculate the remainder when l is divided by 1.
0
Suppose -34 = -s + 3*u, -3*s - s + 71 = u. Suppose h - 4*h + 12 = 0, 0 = 2*d + 2*h - 80. What is the remainder when d is divided by s?
17
Suppose 4*m - 2*m = -24. Let i = -4 - m. Calculate the remainder when i is divided by 5.
3
Let y = -6 + 7. Suppose -h + 2 = y. What is the remainder when 3 is divided by h?
0
Suppose -5*s - 45 = -5*o, 0 = 2*o - 3*o + 3*s + 11. Let w = 234 - 231. What is the remainder when o is divided by w?
2
Let y(p) = p**2 - 9*p + 4. Let a be y(9). Let b(v) = -2 + 5*v - a*v + 4. What is the remainder when b(0) is divided by 2?
0
Let m(t) = t**2 - 2*t - 3. Let o be m(-2). Suppose 0*y - o*y = -90. Calculate the remainder when y is divided by 10.
8
Let y be 2*(-2 - (-10)/4). Let u = y + 2. Suppose -u*z = 3*j - 6, 5*j = -4*z + 4*j + 8. What is the remainder when 5 is divided by z?
1
Let g be (-762)/(-10) - 1/5. Let a = -14 + 16. Suppose t - a*q - 41 = 0, t - q - g = -t. What is the remainder when t is divided by 13?
11
Let g(o) = -o**3 + 5*o**2 + o - 2. Let z = 0 + 6. Suppose -r + 47 = -z. Calculate the remainder when r is divided by g(4).
17
What is the remainder when (-2)/((-6)/249) - 2 is divided by 14?
11
Let h = -36 + 45. Let x(n) = n**2 + n - 3. What is the remainder when x(4) is divided by h?
8
Let f = -42 - -58. Calculate the remainder when 43 is divided by f.
11
Suppose l = 6*l - 250. What is the remainder when l is divided by 6/4*34/3?
16
Calculate the remainder when 15 is divided by 3/((2/(-3))/(-2)).
6
Suppose 4*h + h - 115 = 0. Let t = 27 + h. Suppose 6*z = z + t. Calculate the remainder when 18 is divided by z.
8
Let t(l) = -2*l**2 + l. Let q be t(-2). Let n = 7 + q. Calculate the remainder when 54 is divided by 69/5 - n/15.
12
Let f(y) = -y**2 + 4*y + 3. Let r be f(4). Suppose r = 2*v - 7. What is the remainder when v is divided by 4?
1
Let u(v) = -v - 1. Suppose -2 = c + c. Let k(q) = -2*q**2. Let h be k(c). Calculate the remainder when 1 is divided by u(h).
0
Suppose -n - w = -64, n - 2*w = 2*w + 69. Calculate the remainder when n is divided by 17.
14
Let c(v) = v**3 + v**2 + 35. Let h(x) = x**2 + x - 1. Let d be h(-3). Suppose d*j - 54 = 2*j. What is the remainder when c(0) is divided by j?
17
Let s = -41 + 57. Suppose s = -n + 4*x + 45, -2*x + 17 = 3*n. What is the remainder when 16 is divided by n?
7
Suppose 0 = -4*q - 5*j + 82, 33 + 35 = 4*q - 2*j. What is the remainder when q is divided by 7?
4
Suppose -v - 1 = 2*f - 8, 0 = -3*v + 2*f + 29. What is the remainder when 35 is divided by v?
8
Suppose 3*h = -9, 5*s + 5*h - h = 493. What is the remainder when s is divided by 26?
23
Let a(g) = -g - 3. Let c(n) = -n**3 - 7*n**2 - 5*n - 4. Let m be c(-6). Calculate the remainder when (-1 + 0)/((-4)/52) is divided by a(m).
6
Suppose 0*o - 5 = -5*c + 2*o, 5*c = 3*o. Suppose -c*t - 5 = -4*t. What is the remainder when 8 is divided by t?
3
Let l(m) = m**3 + 4*m**2 + 4. Let h be l(-4). Suppose 3*z - 52 = -2*q - 3*q, 0 = -3*z - h*q + 53. Calculate the remainder when z is divided by 10.
9
Suppose -5*y = -0*y + 45. Let j be (3/y)/(3/(-27)). Suppose 5*v - 39 = -3*s, 0 = -j*s - 3*v + 24 + 9. Calculate the remainder when s is divided by 5.
3
Calculate the remainder when 70 is divided by (4/(-6)*9)/((-1)/3).
16
What is the remainder when 75 is divided by 30 + 2*(-6 + 4)?
23
Let f = 36 - 10. Let i = 3 - -11. Suppose 0*t = t - i. Calculate the remainder when f is divided by t.
12
Suppose 0 = 2*m - 2*t - 12, -m = -4*m - t - 2. Suppose -3*y = w - 2, 3*w - 8 = -2. Calculate the remainder when 9 - (y + m + 1) is divided by 4.
3
Let q be 1/2 + (-10)/4. Let o be (-1 - -3)/q + 4. Suppose o*u - 76 = -1. Calculate the remainder when u is divided by 13.
12
Let m(y) = 6*y - 98. Suppose 0 = 3*g - g - 4*i - 134, -4*i = -g + 73. What is the remainder when g is divided by m(19)?
13
Let t = 109 + -59. Suppose 5*k - 4*x - 101 = 0, -1 + 17 = -4*x. What is the remainder when t is divided by k?
16
Let m(r) = r**2 - 10*r + 5. Calculate the remainder when 25 is divided by m(11).
9
Let p = 4 - -23. Calculate the remainder when 53 is divided by p.
26
Let g(k) be the second derivative of k**3/2 + k**2/2 + k. What is the remainder when 12 is divided by g(1)?
0
Let w(o) = 3*o + 3. Let f be w(-8). Calculate the remainder when 6/f - 578/(-14) is divided by 14.
13
Let k(n) = -n**2 + 3*n. Calculate the remainder when k(2) is divided by (2/(-6))/((-3)/18).
0
Let h(q) = -q + 2. Let x be h(-7). Suppose -2*v + x = -11. What is the remainder when v is divided by 4?
2
Let i(o) = o**3 + 5*o**2 + 5*o + 6. Suppose -2*m - 3 = -q, -3*m + 3*q + 6 = -2*q. What is the remainder when 1*(m - (-7 - 1)) is divided by i(-4)?
1
Let l(c) = -87*c**2 + 1. Let r be l(1). Let a = -61 - r. Let n = 10 - 1. What is the remainder when a is divided by n?
7
Let r(x) = -2*x + 3. Let w be r(-8). Suppose -4*m + 25 = -w. What is the remainder when m is divided by 4?
3
Suppose -c = 2*u - 32, -2*c = -6*c + 2*u + 128. What is the remainder when 223 is divided by c?
31
Suppose 0 = -j - 5*k + 67, 6*j - 2*j - k = 331. What is the remainder when j is divided by 28?
26
Let b = -21 + 51. Calculate the remainder when b is divided by 17.
13
Let d(g) = -g**2 - 10*g - 8. What is the remainder when d(-6) is divided by 88/10 - (-4)/20?
7
Let n(a) = a**3 - 12*a**2 + 3*a - 16. What is the remainder when n(12) is divided by 11?
9
Suppose 2*g + 4 = 3*o - 16, -o + 16 = -3*g. Calculate the remainder when o is divided by 4*1 - 10/10.
1
Suppose 5 = h - 3*j, -3*j = -7*j - 8. Let s = h + 1. Suppose 5*q + 5*z - 85 = s, -2*q + 45 = q - 3*z. Calculate the remainder when 46 is divided by q.
14
Let j = 82 - 149. Let k = -43 - j. Calculate the remainder when k is divided by 14.
10
Suppose 0 = c - 2 - 12. Calculate the remainder when 24 is divided by c.
10
Let o(z) = 54 - 14*z - 54. Let s be o(-1). Suppose -s = 2*h - 3*h. What is the remainder when h is divided by 8?
6
Suppose -2*q + 25 = 3*u + 2*q, 28 = 2*u - 3*q. Let x(h) = -h**2 + 12*h + 10. Calculate the remainder when x(u) is divided by 6.
3
Let h(u) = 4*u**2 - u. What is the remainder when 18 is divided by h(-1)?
3
Let g be 1/((-2)/3)*-2. Suppose 22 = -g*k + 5*b + 74, 4*k - 51 = 3*b. Calculate the remainder when k is divided by 4.
1
Suppose r + 3*i + 81 = 4*r, 0 = -2*r - 5*i + 68. Calculate the remainder when r is divided by 15.
14
Let b(y) = -y**2 - 12*y - 14. Calculate the remainder when 49 is divided by b(-9).
10
Let j(m) = m + 6. What is the remainder when j(-4) is divided by (2/(-8))/((-4)/16)?
0
Suppose 2 = -0*s + s. Calculate the remainder when -1 + (4 - s) + 13 is divided by 1 + (3 - 2) + 3.
4
Let a be (-2 + (3 - 1))/(-1). Suppose b - 6*b + 555 = a. Calculate the remainder when 25 is divided by b/12 - (-1)/(-4).
7
Suppose 0 = j - 0 + 3. Let u be (6 + j)/(-1*1). Let z(c) = -c**3 + 3*c**2 + 1. Calculate the remainder when z(u) is divided by 19.
17
Let m = 71 + -36. Let a = 9 - 4. Suppose -a*x + 68 = 8. What is the remainder when m is divided by x?
11
Let g(x) = -x**3 + 8*x**