s**3 + 5*s**2 - 15*s. Calculate the remainder when 18 is divided by g(z).
4
Let n(o) = -o**3 - 11*o**2 - o - 9. Let l be n(-11). Suppose -3*t - l*t = -50. What is the remainder when 38 is divided by t?
8
Suppose 289 = 5*u - 11. What is the remainder when u is divided by 21?
18
Let o = -21 - -29. Let y be (-2)/o + (-3)/4. Calculate the remainder when 1 is divided by 4/6 - y/3.
0
Let m(h) = h - 1. Let g be m(2). Let f = 6 - g. Calculate the remainder when 6 + (-6)/(-9)*3 is divided by f.
3
Let q(o) = o**2. Let p be q(0). Suppose n + 3*h = 5, 57 = -p*n + 3*n - 5*h. What is the remainder when n is divided by 8?
6
What is the remainder when 69 is divided by 1 + 20/(-12) - 110/(-3)?
33
Suppose y = -y - 5*i + 5, 3*y - i - 50 = 0. What is the remainder when y is divided by 6?
3
Let r = 9 + -6. Suppose 16 = r*v - 110. What is the remainder when v is divided by 4/(-18) - 137/(-9)?
12
Let j(p) = p**3 + 3. Let d be j(0). Suppose d*t + 2*o - 64 = -0*t, 2*t - 3*o - 34 = 0. What is the remainder when 78 is divided by t?
18
Suppose 2*s = -4 + 22. What is the remainder when s is divided by 6?
3
Let t(l) be the second derivative of l**4/6 - 7*l**3/6 - 2*l**2 + l. Calculate the remainder when t(6) is divided by 14.
12
Calculate the remainder when ((-4)/(-15)*-3)/((-4)/70) is divided by 2.
0
Let k = 1 - -6. Suppose -k*d + 25 = -2*d. What is the remainder when d is divided by 2?
1
Suppose 0*o - 70 = -h + 3*o, -2*o = 2*h - 100. Suppose -5*i - 2*l = -4*l - 57, -3*i + h = 4*l. What is the remainder when i is divided by 4?
1
Calculate the remainder when -1 + (41 - (-3)/1) is divided by 22.
21
Let g(i) = i**2 + i + 12. Let j(n) = -3*n - 5. Let s(r) = 13*r + 21. Let v(f) = -9*j(f) - 2*s(f). Calculate the remainder when g(0) is divided by v(4).
5
Let o(c) = -c**3 - c**2 + 2*c. Let h be o(-2). Suppose f = -h*f + 6. Calculate the remainder when 15 is divided by f.
3
Suppose 23 = h + 4*x, -2*x = -0*x - 10. Suppose -h*z - 86 = -z. Let w = z - -74. What is the remainder when w is divided by 16?
15
Let b = -57 - -79. What is the remainder when 153 is divided by b?
21
Let p(x) = x**2 + 4*x + 5. Suppose 0 = -m + 1 - 9. Let u = 5 - -8. What is the remainder when p(m) is divided by u?
11
Suppose -4*d + 0*d = -24. Suppose 415 = d*m - m. Calculate the remainder when m is divided by 21.
20
Let x = -129 + 301. Calculate the remainder when x is divided by 59.
54
Suppose 10 = -3*z + z. Let t = z - -8. What is the remainder when 4 is divided by t?
1
Suppose -2*i = 5 + 9. Let j(q) = -q - 1. Let d(l) = 5*l + 3. Let t(v) = -d(v) - 4*j(v). Calculate the remainder when 23 is divided by t(i).
7
What is the remainder when 20 is divided by 3 + (0 - 1) + 1?
2
Let u(v) = 17 - 2 + v - 2 + 5. Let g be 1 + 1/(-1) + 13. What is the remainder when u(g) is divided by 11?
9
Let s be (-6)/(-6) - (0 - -1). Suppose 2*j - 3*j + 35 = s. What is the remainder when j is divided by 18?
17
Suppose -6*s + 3*s = -9. What is the remainder when 57 is divided by (0 - s)/((-2)/10)?
12
Let o(j) = -85*j - 1. What is the remainder when o(-1) is divided by 29?
26
Let a(c) = -c**3 + 3*c**2 - c - 4. Let k be a(3). Let r = k + 55. What is the remainder when r is divided by 17?
14
Suppose -2*p - 22 = -2*g, 0*g - 19 = -4*g - p. Suppose 0 = -x + 9 + g. What is the remainder when 43 is divided by x?
13
Suppose 0 = -5*k - 3*v - 25 + 105, v = 2*k - 32. What is the remainder when 77 is divided by k?
13
Let n(w) = -5*w - 4. Let m(r) = -3*r - 2. Let s(d) = -5*m(d) + 2*n(d). What is the remainder when s(2) is divided by 7?
5
Suppose 5*z + 3*o + 62 = -0*z, -4*z - 2*o - 48 = 0. Suppose -3*p - 2*v + 36 = v, 36 = 5*p - 3*v. What is the remainder when p is divided by (-4)/(-10) - 46/z?
4
Let o(v) = 2*v - 5. Let w(d) = -2*d + 5. Let t(f) = 5*o(f) + 4*w(f). Calculate the remainder when 7 is divided by t(4).
1
Let c(l) = l**3 - 2*l**2 - 5*l + 4. Let s be c(3). Let u = 6 - s. Suppose -u*n + 3*n = -250. What is the remainder when n is divided by 17?
16
Suppose 0 = 2*q - 0 + 2. Let g = 7 - q. What is the remainder when 13 is divided by g?
5
Suppose 5*a = 3*i - 0*a + 7, -i - 3 = -2*a. What is the remainder when 13 is divided by i - 1 - (-3 - 4)?
6
Suppose -3*v + 36 = 5*d - 0*d, 0 = -d + 3*v + 18. Let u(f) = 2*f**2 + 3*f - 1. Calculate the remainder when u(3) is divided by d.
8
Let f(h) = -h**2 - 5*h + 3. Calculate the remainder when 25 is divided by f(-4).
4
Let r = -8 + 11. Suppose r*n - 12 = 5*n - 4*x, -2*n + 3*x - 14 = 0. Let k = n + 22. What is the remainder when k is divided by 7?
5
Let m = -10 - -16. Let s(f) be the second derivative of -f**3/6 + 4*f**2 + 2*f. What is the remainder when 4 is divided by s(m)?
0
Suppose 5*x = -2*i - i + 119, -x + 153 = 4*i. What is the remainder when i is divided by 20?
18
Suppose -5*f - 1 = 2*s, 3*f - 2*s - 3*s = -13. Let o be f/3 - 69/9. Let p(j) = j**3 + 8*j**2 - 4*j. What is the remainder when p(o) is divided by 17?
15
Suppose 4*c = -3 + 55. What is the remainder when 36 is divided by c?
10
Let l(j) = 2*j**2 + 8*j - 3. Let f = 51 - 10. Calculate the remainder when f is divided by l(-6).
20
Let b = 45 - 24. Suppose -2*x = -2*j - 18, 5*j + 10 = 2*x + 7*j. Suppose 23 = 5*c - x. What is the remainder when b is divided by c?
3
Suppose -56 = -2*y + 4*m, -2*y + 0*y - 5*m = -11. Let r = -16 + 23. Calculate the remainder when y is divided by r.
4
Let q = -71 + 46. Let y = q + 59. Calculate the remainder when y is divided by 12.
10
Let y(l) = 2*l**2 + 5*l + 2. Let c(j) = -3*j**2 + 2. Let z be c(-2). Let w be z/(-15) + 14/(-3). What is the remainder when 27 is divided by y(w)?
13
Calculate the remainder when 45 + (-2)/(6/9) is divided by 15.
12
Suppose 5*s - 21 = u, -4*u + 4*s = 4 - 0. Calculate the remainder when 9 is divided by u.
1
What is the remainder when 34 is divided by 7 - (0 - 5 - -3)?
7
Suppose -72 = -3*d - d. Suppose 2*w + 21 = 2*l - 5*l, 2*w + 28 = 4*l. What is the remainder when d is divided by (-117)/w + (-2)/(-8)?
8
Suppose -2*p = -5*m - 88 + 1, -3*m - 189 = -5*p. Suppose 3*b - 12 = 0, -25 = g - 2*g - b. Calculate the remainder when p is divided by (-393)/(-21) - (-6)/g.
17
Let c be 0 - (-1 + 0 + -8). Let y = -6 + c. Suppose -t = -3*z + 151, 2*t + 155 = 3*z - y*t. Calculate the remainder when z is divided by 17.
16
Let k be 5/(-2) + (-4)/(-8). Let t(w) = -w**3 + 2*w**2 + w + 1. What is the remainder when 29*((2 - -1) + -2) is divided by t(k)?
14
Suppose -3*z - 5*d + 130 + 3 = 0, -3*z = 3*d - 129. Suppose 12 - z = -3*o - 2*m, 5*o + m = 46. What is the remainder when 34 is divided by o?
7
Let z(v) = 2*v - 3*v - 2 + 3. Let j be z(-7). Calculate the remainder when j - -4 - (1 - 2) is divided by 5.
3
Let y = 33 - 20. Let w = -10 + y. Calculate the remainder when 10 is divided by w.
1
Suppose 0 = -j + 9 + 43. What is the remainder when 56 is divided by 980/j - 2/(-13)?
18
Suppose 16*z - 95 = 11*z. Calculate the remainder when 88 is divided by z.
12
Let y = 16 - 9. Let k(d) = d**3 + 9*d**2 + 5*d + 1. What is the remainder when k(-8) is divided by y?
4
Let c be (6/9)/((-2)/(-36)). Suppose 5*x + 0*x + c = -2*s, -s - 7 = 3*x. Calculate the remainder when (s + 4)/(3/22) is divided by 12.
10
Suppose 2*d - 13 - 3 = 0. Let z = 14 + 1. What is the remainder when z is divided by d?
7
Let l = -8 + -1. Calculate the remainder when 46 is divided by (-6)/(-27) - 142/l.
14
Let n = 101 + -63. What is the remainder when n is divided by 19?
0
Let u(c) = -7*c**2 + 3*c - 3. Let v be u(2). Let d = -5 - v. What is the remainder when -1 + d + 0/(-3) is divided by 7?
5
Let g = -3 - 1. Calculate the remainder when 29 is divided by ((-60)/21)/(g/14).
9
Suppose -a = 3*o - 7, 4*a - 5*o = -a + 55. What is the remainder when 39 is divided by a?
9
Suppose 0*o = o - 3, -o - 95 = -2*t. Suppose 0 = b - 5*c - 16, 5*c - t + 13 = -b. What is the remainder when b is divided by 14?
12
Suppose 0*t - 2*t = -56. Suppose 216 = 4*m - r, t + 127 = 3*m + r. Suppose -2*v + m = 3*k, -5*k + 28 + 56 = -v. What is the remainder when 49 is divided by k?
15
Let h = -22 + 46. Suppose 0 = 2*c - h - 10. What is the remainder when 32 is divided by c?
15
Let h(q) = 20*q - 1. Calculate the remainder when h(4) is divided by 27.
25
Suppose 30 + 156 = 3*n. Suppose s = -s + n. Calculate the remainder when s is divided by (2 - 1)*(-24 - -40).
15
Suppose -1 = k - 3.