e -4*i = 5*z - 114, -4*z = 3*i + i - 88. What is the remainder when z is divided by u?
8
Let b(w) = -1 - 4 + 8*w + 5. Let q(i) = i**3 + i**2 - 2*i. What is the remainder when q(3) is divided by b(2)?
14
Let o(c) = -c**3 + 4*c**2 + 10*c - 18. Calculate the remainder when 106 is divided by o(4).
18
Suppose -2*z + 3 + 5 = 0. Suppose -3*d + z*m - 8 = -70, 5*m = -25. Calculate the remainder when d is divided by 4.
2
Suppose 5*o - 4*n = 248, 4 = -4*o + 4*n + 200. Let a = 2 + 1. Suppose -a*v + 27 = -27. What is the remainder when o is divided by v?
16
Suppose 48 = 5*m - 7. Let y = 3 + -4. Let p = m + y. Calculate the remainder when 37 is divided by p.
7
Suppose 0 = 2*s + 11*s - 260. Calculate the remainder when s is divided by 3.
2
Suppose 0*z - 3*z = -45. What is the remainder when z is divided by (3 + 1)/(12 - 11)?
3
Let x(r) = r**2 - r - 6. Let m be x(6). Suppose 2*y = -y + m. Suppose -73 + y = -5*u. Calculate the remainder when 38 is divided by u.
12
Suppose 4*s = p - 2*p - 3, 0 = s + 4*p + 12. Suppose 6*m - m - 140 = s. What is the remainder when m is divided by 15?
13
Suppose -3*m = -5*g - 62, 0*g = m + 3*g - 30. Let y be m/(-9)*12/(-2). Let b = -7 + y. Calculate the remainder when 25 is divided by b.
7
Let b(p) be the second derivative of -p**3/6 + 3*p**2 - p. Suppose i = 2*i - 5*u - 26, 4*i - 2*u - 68 = 0. Calculate the remainder when i is divided by b(0).
4
Suppose 15 = 3*y, -3*d = -5*d - 5*y + 71. Calculate the remainder when 90 is divided by d.
21
Let q(f) = -f**3 - 3*f**2 + 3*f + 2. Calculate the remainder when (-672)/63*6/(-4) is divided by q(-4).
4
Suppose 5*n = 2*n + 45. Let d(i) = -4*i. Let a be d(1). Let b(f) = 2*f**2 - 3. What is the remainder when b(a) is divided by n?
14
Suppose -30 = -2*i - 0*i. Suppose 8*l + 2*y - 49 = 3*l, -10 = -5*y. Calculate the remainder when i is divided by l.
6
Let c = -18 - -27. Let v(p) = -p**3 - 10*p**2 + 6*p - 6. Let a be v(-5). Calculate the remainder when c is divided by 3/12 + a/(-28).
3
Let t = 95 - 82. What is the remainder when t is divided by 7?
6
Let c = -18 - -71. Calculate the remainder when c is divided by (-35)/(-2) + 1/2.
17
Let c = 18 - 27. Let a(i) = -13 + 0*i**2 - 4*i + i**2 + 10*i. What is the remainder when 40 is divided by a(c)?
12
Suppose m - 10 = 5*b, 0 = -3*b - 0*b + m - 6. What is the remainder when (-190)/(-4) + (-4)/8 is divided by (-34)/(-2) + 1 + b?
15
Suppose l = -l + 6. Calculate the remainder when 3 is divided by l.
0
Let b(r) = -r**2 - 8*r + 9. Let n be b(-9). Suppose n = -z + 5*z - 140. What is the remainder when z is divided by 9?
8
Let u(w) = -11*w - 4. What is the remainder when 84 is divided by u(-3)?
26
Let l = 0 + 5. Suppose -4*g = -2*g - l*x - 18, -3*x = g - 20. Suppose g = 4*j - 30. Calculate the remainder when 30 is divided by j.
8
Suppose 5*v = 1 + 9. What is the remainder when 17 - v - 4/2 is divided by (-28)/70 + 54/10?
3
Let h(i) = -2*i. Let q be h(-1). Suppose 0 = m - q*m - 3*k + 12, 2*m - k - 31 = 0. What is the remainder when (-3 - -2)/((-2)/54) is divided by m?
12
Let y(o) = -6*o - 13. Suppose -204 = -4*g + g. What is the remainder when g is divided by y(-6)?
22
Let r be 6/(-24) - (-682)/8. Let q = r + -60. What is the remainder when q is divided by 13?
12
Let v(m) = 2*m**2 + 2*m + 2. Let u be (2/(-4))/((-3)/834). Suppose -u = -5*z + 2*i, 2*i - 50 = -2*z - 0*z. What is the remainder when z is divided by v(-3)?
13
Let s = 5 + 13. Let a(g) = -4*g + 4*g + 4*g - 2. What is the remainder when s is divided by a(3)?
8
Suppose l + 1 = 5*j - 4, 3*l = 2*j - 2. Let y be (-4)/(-18) + 3883/(-99). What is the remainder when (-4*y/6)/j is divided by 14?
12
Let a(z) = z**3 + 4*z**2 - 3. Calculate the remainder when a(-3) is divided by 5.
1
Let i(n) = n - 10. Let h(w) = -2*w + 9. Let q(t) = -5*h(t) - 4*i(t). What is the remainder when q(7) is divided by 10?
7
Let p(k) = -k**3 + k**2 + 7*k + 6. Calculate the remainder when p(-4) is divided by 12.
10
Let f(y) = -y**2 - 7*y + 18. Let m = -66 + 124. Calculate the remainder when m is divided by f(-8).
8
Let t(z) = 9*z**3 - 2*z**2 + z. What is the remainder when t(1) is divided by 3?
2
What is the remainder when 73 is divided by ((-87)/(-4))/(108/144)?
15
What is the remainder when 2/4*-2*-3*4 is divided by 9?
3
Suppose -5*t - t = -906. What is the remainder when t is divided by 38?
37
Suppose 0 = 178*g - 177*g - 21. Calculate the remainder when g is divided by (0 + -9)/(3/(-4)).
9
Let j(w) = w**3 + 8*w**2 + 7*w - 7. Suppose -l + 5*i + 3 = l, 0 = 2*l - 4*i. What is the remainder when 68 is divided by j(l)?
22
Suppose -4*z = -7*z + 18. Let x(t) = 5*t - 1. What is the remainder when x(z) is divided by 10?
9
Let z = 4 - 1. What is the remainder when z is divided by -3*(1 - 0)*-1?
0
What is the remainder when 111/(3/2 + 0) is divided by 27?
20
Let v(p) = p**3 - 8*p**2 + p - 1. Let s(c) = c**2 + 2*c - 7. Let l be s(-5). Calculate the remainder when v(l) is divided by 3.
1
Let y(u) = u**3 - 6*u**2 + u + 8. Let m be y(6). Let v = m + -10. What is the remainder when 33 is divided by ((-2)/v)/((-1)/24)?
9
Calculate the remainder when 57 is divided by 1/(-4) - 2/((-48)/486).
17
Let g(q) = -q**3 + 9*q**2 - q + 5. Suppose 8 = 3*i - 19. Let j be g(i). What is the remainder when (-2*26/j)/1 is divided by 5?
3
Suppose 0 = -2*j + 4*y + 230, 5*j = 2*j - 4*y + 315. What is the remainder when j is divided by 28?
25
Suppose 0 = k - 0*k. Let n(f) = -f**2 + 52. Let b = 3 - -15. What is the remainder when n(k) is divided by b?
16
Let i = 2 + -2. Let r = i + 3. Calculate the remainder when 4 is divided by r.
1
Let u(g) = -g**2 - 13*g - 22. What is the remainder when 66 is divided by u(-8)?
12
Let o = 6 + -4. Suppose -o*l + 3*l - 9 = 0. Let c = 36 + -19. Calculate the remainder when c is divided by l.
8
Let b = -8 + 19. Suppose 2*m + 8 = 2*l, 3*l - l - 4 = m. Let u(n) = -n**2 - 2*n + 31. Calculate the remainder when u(l) is divided by b.
9
Let q be 114/(-10) + (-4)/(-10). Let z = q - -20. Suppose -3*j = 3 - z. What is the remainder when j is divided by 2?
0
Let g = 9 + -5. Suppose g*p = 3*p + 4. Suppose -9 + 3 = -3*h. What is the remainder when p is divided by h?
0
Let v be (-9)/(-4)*32/(-8). Let b = -2 - v. Suppose -f + 0*h = -h - 7, -f + 4*h + b = 0. Calculate the remainder when 11 is divided by f.
4
Let a = 11 - 13. What is the remainder when (a/(-4))/((-3)/(-96)) is divided by 9?
7
Let g(q) = -4*q - 29. What is the remainder when 7 is divided by g(-8)?
1
Let p = -6 + 54. Calculate the remainder when p is divided by 10.
8
Suppose 0 = -3*m - 16 + 52. Suppose z = -a - 6, 4*a - 3*z + m = -33. Let t = 39 + a. Calculate the remainder when t is divided by 16.
14
Let p be 1/((-2)/(-30)*3). Let f(v) = -v + 1. Let s(h) = h**2 - 13. Let g(w) = -6*f(w) - s(w). What is the remainder when 22 is divided by g(p)?
10
Suppose 24*s - 2027 = -131. What is the remainder when s is divided by 20?
19
Let g be 2/4 + (-60)/(-8). Let w(s) = -s**3 + 9*s**2 - 8*s + 12. Calculate the remainder when ((-51)/(-2))/(12/16) is divided by w(g).
10
Let t(f) = f**2 + f + 6. Let l(h) = h + 9. Let z be l(-9). What is the remainder when t(z) is divided by 4?
2
Suppose -j - 8 - 7 = -4*w, -4*w - 5*j - 3 = 0. Calculate the remainder when 11 is divided by w.
2
Let a(c) = c**3 - 32. Let p be (-3)/9 - 2/(-6). Let q be a(p). Let j = -14 - q. Calculate the remainder when j is divided by 10.
8
Suppose 0 = 5*m - 15 - 5. Suppose 5*g - 4*g - m = 0. Suppose -g*w + 92 = 5*h, -2*w - 8 = 2*w. Calculate the remainder when 38 is divided by h.
18
Calculate the remainder when 45 - (-4)/2*1 is divided by 26/(-65) + (-2)/(-10)*82.
15
Suppose -75 = -5*t - 3*x + 56, -2*t + 54 = 2*x. What is the remainder when t is divided by 9?
7
Let h(p) = 1 - p + 0*p - 5. Let c be h(-7). Suppose -c*a - 3*y = -15, y = 4*a + 6*y - 18. Calculate the remainder when 19 is divided by a.
5
Let n(p) = p**3 - 7*p**2 + 7*p - 2. Let j be n(6). Suppose a = -4*m - 6 + 23, 0 = j*m - 12. What is the remainder when 8 is divided by a?
3
Let k = 8 - 0. Suppose -100 = -4*c - 3*m, -m - 58 = -2*c - 8. Let v = c - k. Calculate the remainder when 32 is divided by v.
15
Suppose -2*t + 4*l + 64 = 4, -2*l = 0. What is the remainder when 6/t + 418/10 is divided by 11?
9
Let o(h) = -h**2 + 47. What is the remainder when o(0) is divided by 1/((-2)/