d - 366, -4*g = 4*d - d - 299. Suppose x - 4*x + 5*t = -g, -4*x - t + 68 = 0. Calculate the remainder when 51 is divided by x.
15
Let w(a) = 3*a. Let y be w(2). Let t(b) = 3*b - 4. What is the remainder when 40 is divided by t(y)?
12
Let b(w) = 2*w. Let a be b(1). Calculate the remainder when 7 is divided by (1 + -2)/((-1)/a).
1
Let a(t) = -t**3 + 4*t**2 - t + 6. What is the remainder when a(3) is divided by 4?
0
Let a(w) = -w**3 + 5 - 2 + 2*w**3 - 5*w**2. Suppose 0*h = h - 5. Calculate the remainder when 8 is divided by a(h).
2
Suppose 32 = 4*y - 116. Let v = y + -24. What is the remainder when v is divided by 7?
6
Let n be ((-36)/(-30))/(1/(-15)). Let b = -5 - n. What is the remainder when b is divided by 5?
3
Suppose 3*z - 2*m = 46, -z + 0*m = 3*m - 30. Calculate the remainder when 107 is divided by z.
17
Let m = 26 - 21. Calculate the remainder when 19 is divided by m.
4
Let s = -85 + 192. What is the remainder when s is divided by 54?
53
Let l(g) = -3*g - 2. Let a be l(-2). Suppose 0 = -0*r + 2*r - 4. What is the remainder when r is divided by (-1)/8*-2*a?
0
Let t(d) = -d + 2. Let g be t(-6). Let n = g - 5. What is the remainder when 4 is divided by n?
1
Let c(j) = -j + 1. Let b = 10 + -6. Calculate the remainder when c(-10) is divided by b.
3
Let o be 17 - 2*(-1)/2. Suppose 0*t - 3*t + o = 0. What is the remainder when t is divided by (8/3)/((-10)/(-15)*1)?
2
Suppose 4*n = -2*f - 132, 0 = -n - 0*f - f - 33. Let p = -3 - n. Let s = 46 - p. What is the remainder when 31 is divided by s?
15
Let o(j) = -24*j + 1. Suppose -5*f + 14 = s, -3*s - 5*f + 32 = -0*s. What is the remainder when o(-1) is divided by s?
7
Let s(z) = -z**3 - 18*z**2 - 18*z - 14. What is the remainder when 41 is divided by s(-17)?
2
Suppose -35 = -3*w + 43. Suppose r + 30 = 4*s, 0 = 2*s - 4*s - 5*r + 4. What is the remainder when w is divided by s?
5
Let u(b) = -7*b + 35. Let c(l) = l - 6. Let n(w) = -35*c(w) - 6*u(w). Let f be -3 + (2 + 4 - 0). Calculate the remainder when n(f) is divided by 11.
10
Let k(t) = -2*t + 1. Let i(x) = -x**2 + 7*x - 9. Let r be i(6). Let y(g) = -g + 3. Calculate the remainder when k(r) is divided by y(0).
1
Let s(o) = -o**2 - 6*o + 2. Let l be s(-6). What is the remainder when 17 is divided by l/2 - (-4 - 4)?
8
Let u(d) be the third derivative of -5*d**4/24 + d**3/2 + 5*d**2. What is the remainder when u(-7) is divided by 13?
12
Suppose 2 - 7 = 5*o. Let y be (-1)/(3/51) - o. What is the remainder when 47 is divided by (-9)/3*y/3?
15
Suppose 5*t - 25 = -y, 4*t = 2*y - 0*y - 50. Let p(d) = -5 - d**2 + 5*d - 14*d + d**3 + 7*d**2. What is the remainder when y is divided by p(-7)?
7
Let n(y) = 39*y**2 + y. Let b be -2*-1*57/(-6). Let g = -5 - b. What is the remainder when n(1) is divided by g?
12
What is the remainder when 1 - ((-52)/(-6))/((-2)/18) is divided by 16?
15
Let f = -13 - -20. Calculate the remainder when 11 is divided by f.
4
Suppose -2*d - 4*h = -30 + 2, 4*d = 5*h + 30. Calculate the remainder when 13 is divided by d.
3
Let z = 4 + 46. Calculate the remainder when 148 is divided by z.
48
Suppose 0*m - 9 = -3*m. Suppose 18 = m*r - 12. What is the remainder when 18 is divided by r?
8
Suppose 2*y = -2*z + 2, 6 = 3*y - z + 3*z. Suppose y*o = 7 + 5. Suppose 31 = o*g - 59. Calculate the remainder when g is divided by 8.
6
Suppose 4*u + 3*y = 5*u - 55, 5*u - 3*y = 263. Calculate the remainder when u is divided by 18.
16
Suppose -w = -5*w + 8. What is the remainder when (-2)/(-4) + (-2)/((-20)/35) is divided by w?
0
Let n = 23 - 11. Let i(r) = n*r**3 + 0*r**3 - r**2 + 9*r**3. Calculate the remainder when 38 is divided by i(1).
18
Calculate the remainder when 18 - (-7)/((-28)/(-8)) is divided by 8.
4
Let w(b) = b**3 - b**2 + b + 36. Let m be w(0). Suppose 5*o - 18 = -2*a, a = -3*a + o + m. What is the remainder when a is divided by 5?
4
Suppose 4*u - a + 6*a - 3 = 0, -3*u - 4*a + 1 = 0. Let p(o) = o. Let t(r) = -1. Let f(b) = -4*p(b) + 5*t(b). What is the remainder when f(-6) is divided by u?
5
Let j(v) = -2 + 0*v - 26*v**2 + 2 + 2*v. Let o be j(3). What is the remainder when (2/(-3))/(8/o) is divided by 11?
8
Let z = 2 + 3. Suppose z*t + p = 199, -t + 3*p + 123 = 2*t. Calculate the remainder when t is divided by -2*(-3)/(6/14).
12
Let w = 1 + 4. Suppose 3*t - 36 = -2*t + z, w*z + 12 = t. Suppose 4*d = -16 + 68. What is the remainder when d is divided by t?
6
Let y be 1 - 1 - (-12)/2. Suppose -5*k + 24 + y = 0. Let i(z) = 18*z - 2. Calculate the remainder when i(1) is divided by k.
4
Suppose 0 = -0*n + n - 3. Calculate the remainder when (57/9 + -4)*3 is divided by n.
1
What is the remainder when 47 is divided by -1*(-23)/(-2)*(-18)/9?
1
Suppose -11 - 3 = -2*o. Let s = -2 + o. Let k(u) = u + 9. What is the remainder when k(0) is divided by s?
4
Suppose 5*g - 2*g - 9 = 0. Suppose 0 = g*u - 32 - 22. Suppose -2*b - 2*h + u = 0, 3*b - h + 0 = 27. What is the remainder when 16 is divided by b?
7
Suppose 4*j + 0 = -2*l + 14, -11 = -l - 4*j. Let h(i) = 14*i + 1. Let s(f) = 4*f**2 - 2*f + 3. Calculate the remainder when h(l) is divided by s(2).
13
Let m = -2 - -20. Suppose 4*r = x - 0*r + 30, 5*x + 5*r = -25. Let l = m - x. What is the remainder when l is divided by 15?
13
Suppose -2*m = 2*n + n - 27, 2*m - 38 = -4*n. What is the remainder when 2*(-201)/(-6) + -4 is divided by n?
8
Let q be 266/(-4) - (-2)/4. Suppose 2*z = -2*z + 380. Let y = q + z. Calculate the remainder when y is divided by 10.
9
Suppose 0 = 5*p - 5*i - 270, i = -2*i - 3. Suppose -19*x - 72 = -15*x. Let u = 0 - x. What is the remainder when p is divided by u?
17
Let f be 3/6 + 9/2. Calculate the remainder when 14 is divided by ((-6)/f)/(3/(-15)).
2
Let x be (-252)/(-30) - 2/5. Let f(p) = -p + 10. Calculate the remainder when 3 is divided by f(x).
1
Suppose 0 = -2*o + 6*o - 16. Suppose b + 2*h = 3*h + 45, o*b + 2*h = 168. What is the remainder when b is divided by 23?
20
Let i be 1 + 3 - (9 + -11). Let o = -26 + 60. Suppose o + i = 5*n. Calculate the remainder when 14 is divided by n.
6
Suppose -3*i = 4*m - 44, 7*i - 20 = 2*i. What is the remainder when 18 is divided by m?
2
Let j = 0 - -27. Calculate the remainder when 106 is divided by j.
25
Let y(h) = h**3 - 12*h**2 + 10*h + 14. Let q be ((-11)/(-4))/((-2)/(-8)). Calculate the remainder when 11 is divided by y(q).
2
Let k(c) = -14*c - 57. Calculate the remainder when k(-7) is divided by 23.
18
Let q be 0 + (4 - (-1 - -2)). Suppose 3*s + q*a - 44 + 8 = 0, 2*s = -3*a + 28. What is the remainder when 22 is divided by s?
6
Let z(s) = 3*s**2 + 5*s + 4. Let h be z(-3). Suppose 0*w = w - h. Calculate the remainder when 63 is divided by w.
15
Suppose k = -5*s - 3*k + 20, 0 = -s - 5*k + 25. Suppose r - 19 - 4 = s. Suppose 0*l = 5*l - 340. What is the remainder when l is divided by r?
22
Let n(m) = -3*m**3 + 3*m**2 - m. Let b be n(2). Let k = 26 + b. Let o = 23 - 1. What is the remainder when o is divided by k?
10
Suppose 0 = 2*l - 4*l + 14. Suppose 0*w = -5*w. Suppose -z - 1 + 4 = w. Calculate the remainder when l is divided by z.
1
Let k(p) be the first derivative of -2 - 14*p - 9/2*p**2 + 1/3*p**3. Calculate the remainder when 65 is divided by k(12).
21
Let m = -22 + 7. Suppose 0 = -4*j + 2*v + 20, -3*v + 24 = 3*j - 0*j. Calculate the remainder when (-15)/(m/6 + 1) is divided by j.
4
Suppose -4*n + 2*l + 79 = -3*l, -4*l + 20 = 0. What is the remainder when n is divided by 11?
4
Let f(a) = -a**3 - 4*a**2 + 3*a + 3. Let r be f(-4). Suppose 0 = 2*j + 3*j + 80. Let w = r - j. What is the remainder when 20 is divided by w?
6
Suppose 0*f + 113 = 3*f - r, 0 = 5*f + r - 175. Suppose -3*m - w + 73 = m, 0 = 5*m + 5*w - 80. Calculate the remainder when f is divided by m.
17
Suppose -2*n - n = -15. Calculate the remainder when 18 is divided by n.
3
Let l = -89 - -45. Let w = -29 - l. Let o = -7 - -15. Calculate the remainder when w is divided by o.
7
Suppose 0 = -2*o + 3*w + 7, w - 2*w = 3*o - 5. Suppose -5*j + 3*t + 25 = 0, -o*t = -2*j - 0*j + 6. Let q = 3 + j. What is the remainder when q is divided by 6?
5
Let a(c) = -2*c. What is the remainder when a(-5) is divided by 8?
2
Let u = -7 - -4. Calculate the remainder when 50 is divided by (23 - u)/(1*2).
11
Let b = 26 + -15. Let k be (-1 - -6)*(-6)/5. Let r = 0 - k. Calculate the remainder whe