 Calculate the remainder when 27 is divided by p.
12
Let b(f) = -f**3 - 6*f**2 + 8*f + 5. Let y be b(-7). What is the remainder when (y - -38) + (-16)/8 is divided by 12?
10
Let h be -4*(2/4)/1. Let c be (h/2 + 18)*1. What is the remainder when 36 is divided by c - (0 - -6)/(-3)?
17
Suppose 44 = j - 33. Calculate the remainder when j is divided by 20.
17
Calculate the remainder when 18 is divided by (7 - -3)*((-28)/8 + 4).
3
Suppose -w = w + 2*f - 68, w + 5*f = 42. Calculate the remainder when 89 is divided by w.
25
Let y = -1 + 15. Let d(f) = 5*f - 4. What is the remainder when d(6) is divided by y?
12
Suppose 0 = 5*q + 2*y - 25, 3*y = 3*q + 2*q - 25. Let v(u) = -u + 2. Let o(a) = 1. Let c(j) = 4*o(j) - v(j). What is the remainder when c(q) is divided by 3?
1
Let b be (-138)/(-5) - 6/10. Suppose 0 = -3*y - 5*d + 36, 2*y + 4*d - b = -5. What is the remainder when 50 is divided by y?
16
Suppose 5*g - 204 = -g. Calculate the remainder when 99 is divided by g.
31
Suppose -9 = 17*i - 20*i. What is the remainder when i is divided by 3?
0
Let k = 9 - 7. What is the remainder when k is divided by 1?
0
Suppose 72 = -5*p - 3*d, -4*p + 2*d = -7 + 47. Let n(l) = 2*l**3 + 57*l**2 - 29*l + 16. What is the remainder when n(-29) is divided by p*1*(-1)/2?
4
Suppose 37 = v + 3*w - 8*w, -4*v + 2*w = -94. Calculate the remainder when v is divided by 8.
6
Let l(s) = 5*s**2 - 9*s + 9. Let f be l(6). Suppose 6*u = u + f. Calculate the remainder when u is divided by 14.
13
Let b = 19 - 10. What is the remainder when 15 is divided by b?
6
Let w = 5 - 1. Let s be (50/w)/(2/(-16)). Calculate the remainder when -1*2 - s/4 is divided by 12.
11
Suppose 6*s + 75 = 3*s. Let z = 37 + s. What is the remainder when 47 is divided by z?
11
Let w = -16 - -36. What is the remainder when w is divided by 11?
9
Let l = 93 - 66. Let i = 56 - l. Calculate the remainder when i is divided by 8*3/2 + 3.
14
Let h(q) = -14*q**2 - q. Let j be h(1). Calculate the remainder when ((-5)/j)/((-1)/(-111)) is divided by 10.
7
Suppose -32 = -z - 13. What is the remainder when (-187)/(-5) + (-4)/10 is divided by z?
18
Suppose g = x - 15, 3*x - 8*g + 4*g = 46. Calculate the remainder when x is divided by 6.
2
Suppose -86 = -3*z + y, 0*y + 2 = -y. What is the remainder when z is divided by 10?
8
Let f be 6/27 - 34/(-9). Suppose f*x - 3*b = 43, 8*x - 4*x - 46 = 2*b. What is the remainder when x is divided by (5 - 3)/4*10?
3
Suppose 0 = -3*y - 5*m - 0 + 1, 0 = 3*y + m - 17. Let s(d) = 2*d - 4. Let x = 12 + -4. What is the remainder when s(x) is divided by y?
5
Let k(i) = i**3 + 9*i**2 + 9*i + 12. Calculate the remainder when 31 is divided by k(-8).
3
Let h = 38 - 27. Calculate the remainder when 30 is divided by h.
8
Let c = -22 + 152. Calculate the remainder when c is divided by 12.
10
Let p be (-107)/(-7) - (-10)/(-35). Suppose -3*c + p = -6*c. Let u = 18 + c. What is the remainder when u is divided by 5?
3
Let o(n) = -2*n - n**2 + 7*n + 3 + 5. Calculate the remainder when 4 is divided by o(6).
0
Let k(l) be the third derivative of -l**4/24 - l**3/2 - l**2. Calculate the remainder when k(-4) is divided by 1.
0
Let z = 41 + -5. Calculate the remainder when z is divided by (52/(-6))/((-6)/9).
10
Let x(o) be the third derivative of o**6/120 + o**5/60 + o**4/12 - 3*o**2. What is the remainder when x(2) is divided by 9?
7
Let z be ((-51)/2)/((-5)/10). Let u = z - 104. Let h = -23 - u. What is the remainder when h is divided by 16?
14
Suppose 2*w - 8 = 12. Calculate the remainder when 19 is divided by w.
9
Let i = -110 + 149. Suppose 4*w - 89 + 5 = 0. What is the remainder when i is divided by w?
18
Suppose -2*n + 3*n = 4*y + 39, 4*y - 3*n = -37. Calculate the remainder when 5/y + 117/2 is divided by 30.
28
Let w(y) = -y**2 + 8*y - 3. Let m be w(6). What is the remainder when 4 is divided by -1 - 5/((-15)/m)?
0
Let v(y) = y + 6. Suppose -3 = -3*n + 9. Calculate the remainder when v(7) is divided by n.
1
Suppose 2*m - m = 6. Let s be 4/(m/9*-3). Calculate the remainder when 41 is divided by (-2)/(-4) + (-27)/s.
13
Let l = 44 - 20. What is the remainder when 47 is divided by l?
23
Suppose -j - 2*a = 3*j - 62, -4*j + 2*a = -82. Let y(g) = -g**2 + 10. Calculate the remainder when j is divided by y(0).
8
Suppose -2*m + 2 = -16. Calculate the remainder when 17 is divided by m.
8
Let s(i) = 3*i**2 + 6*i - 2. Calculate the remainder when s(3) is divided by 15.
13
Suppose -2*v = -0*v. Suppose k + 4*k - 170 = v. Let g = 13 + -1. What is the remainder when k is divided by g?
10
What is the remainder when 13 is divided by (-141)/(-21) + (-4)/(-14)?
6
Let g(z) = 2*z**2 + 11*z + 10. Suppose -q - 21 = 2*q. Calculate the remainder when g(q) is divided by 11.
9
Suppose 0 = -5*x + 9*x. Suppose -3*w + 19 + 20 = x. What is the remainder when w is divided by 8?
5
Let y(g) = -g + 11. Suppose 9 = -3*w, 4*w + 19 = 4*i + 7*w. Calculate the remainder when i is divided by y(9).
1
Let r be ((-2)/(-5))/((-1)/5). What is the remainder when -2 - -1*(6 + 4) is divided by 2/r + -3 + 7?
2
Suppose o = 2*o - 4. Let j(r) = 2 - o*r - r**3 + 6*r - 5*r**2 - 8. What is the remainder when j(-6) is divided by 10?
8
Suppose -y + 298 = 33. Let q be 4 + (0 - 2) + 2. Suppose -212 = -q*h + 4*c, 3*h - 2*c = -2*h + y. Calculate the remainder when h is divided by 14.
11
Suppose 15 = -4*n - 13. Let i = n - -10. Let f(o) = o**2 - 3*o + 2. Calculate the remainder when 4 is divided by f(i).
0
Suppose 0*v = 3*v - 201. Let x(y) = -8*y + 14. Calculate the remainder when v is divided by x(0).
11
Suppose 0 + 4 = 4*p + 2*d, 3*p - 4*d - 14 = 0. Suppose p*j - 6 = 32. What is the remainder when 37 is divided by j?
18
Let b = 0 - -5. Suppose 5*i + 2*w - 47 = 0, -2*i + 2*w + 21 = b. What is the remainder when 17 is divided by i?
8
Let s(t) = 66*t**3 + 2*t - 1. Suppose 0 = 3*k - 4*q + q - 63, -4*k + 69 = q. Let f = k - -5. What is the remainder when s(1) is divided by f?
21
Suppose 5*h - 294 = 3*t, -t = -4 + 7. What is the remainder when h is divided by 15?
12
Let j(h) = -2*h + 4*h**2 + 5*h - 1 - 3*h - 2*h. Calculate the remainder when 9 is divided by j(-1).
4
Suppose 3*d = 4*f - d - 68, -d = -3*f + 61. Let s(i) = 3*i**2 - 5. What is the remainder when s(-4) is divided by f?
21
Let j(z) = 2*z + z - 4*z + 0*z. What is the remainder when 6 is divided by j(-4)?
2
Let a(u) = 10*u - 6. Calculate the remainder when a(7) is divided by 22.
20
Let r = 4 - 1. Suppose p = -r*p + 44. Suppose -4*l + b = 11 - 96, 2*b = 4*l - 90. What is the remainder when l is divided by p?
9
Suppose 3*n - 2*v = -3*v + 102, 0 = -4*n + 4*v + 152. What is the remainder when 67 is divided by n?
32
Let a = -15 - -4. Let r = -2 - a. What is the remainder when r is divided by 3?
0
Let r(m) = 3*m - 1. Let a be ((-5)/2)/(1/(-2)). Calculate the remainder when r(a) is divided by 5.
4
Let t = 518 - 512. Let x = 5 + 11. What is the remainder when x is divided by t?
4
Suppose 0 = -j + 19*j - 72. Calculate the remainder when 12 is divided by j.
0
Let u(t) = t. Let g = -37 - -39. Calculate the remainder when u(2) is divided by g.
0
Suppose 3*w - 3*y = -12, 4*w - 3*y = -17 - 0. Let n(u) = -u**3 - 3*u**2 + 2*u + 4. Calculate the remainder when n(w) is divided by 15.
14
Let m = -4 + -4. Let w = m + 5. Calculate the remainder when 33 is divided by w/(1 - -5)*-34.
16
What is the remainder when 13 is divided by (-56)/(-12) + 3/(9/(-2))?
1
Let r = -122 - -192. Suppose 4*t - t + 3*p = 60, p + r = 5*t. What is the remainder when t is divided by 6?
3
Suppose -u - 4*b = -39, b + 0*b - 43 = -2*u. Let d(m) = m + 11. Let q be d(-10). Let f = 37 - q. Calculate the remainder when f is divided by u.
17
Let i be (-67)/4*12/3. Let a = -24 - i. What is the remainder when a is divided by 11?
10
What is the remainder when 20 is divided by -2 + (-2 + -28)/(-2) + -2?
9
Suppose n = -n + v + 174, -4*v - 80 = -n. Calculate the remainder when n is divided by 30.
28
Let z(l) = l + 11. Let u be z(0). Suppose -a + 13 + u = 0. Calculate the remainder when a is divided by 13.
11
Suppose -6 - 33 = -3*x. Suppose 3*n - 2 = -5*j + 4, n - 2 = j. Suppose j = 3*t + 4 - 79. What is the remainder when t is divided by x?
12
Suppose 8*j = 5*j + 36. Calculate the remainder when 46 is divided by j.
10
Let h(r) = -r**2 + 11*r + 2. Suppose 2*p + 6 = u - 2*p, -3