m = 27 + -15. What is the remainder when p(b) is divided by m?
11
Let t(k) = -9*k + 31. What is the remainder when t(2) is divided by 10?
3
Let t be -3 - (22 - (4 + -2)). Let r = t + 35. What is the remainder when 47 is divided by r?
11
Let l = 104 - 62. Let w = -2 + 6. Suppose 3*n - 5 = 4*n - w*b, 63 = 5*n + 2*b. Calculate the remainder when l is divided by n.
9
Let a(u) = 5*u**3 + u**2 + 2*u + 6. Let s(i) = 6*i**3 + 3*i + 6. Let f(v) = -5*a(v) + 4*s(v). What is the remainder when 53 is divided by f(-6)?
17
Let j = 11 + -10. Calculate the remainder when ((-2)/4)/((-1)/48) is divided by 0/j - -11 - -2.
11
Calculate the remainder when -80*(-4 + 3) - (0 - -2) is divided by 27.
24
Suppose 5*j - j - 104 = 0. Let n = -18 + j. Let i = -30 - -59. What is the remainder when i is divided by n?
5
Let b(g) = -21*g**2 - 4*g - 5. Let j(y) = -21*y**2 - 5*y - 6. Let n(s) = -6*b(s) + 5*j(s). Calculate the remainder when n(-1) is divided by 8.
6
Let c be (-135)/(-6)*6/5. Let o = c - 14. What is the remainder when o is divided by 5?
3
Suppose 0 = -2*b + 7 + 13. What is the remainder when 38 is divided by b?
8
Suppose -5*u = -6 + 46. Let g = u + 26. What is the remainder when 70 is divided by g?
16
What is the remainder when 104 is divided by (-2 + 48/15)*(-420)/(-18)?
20
Suppose 3*s + 2*f + f = -24, 0 = 2*s + 5*f + 31. Let z = -3 - s. Suppose -u = -z - 8. What is the remainder when 14 is divided by u?
6
What is the remainder when ((-44)/6)/((-24)/(-18) - 2) is divided by 2 - (2*-1)/2?
2
Suppose -4*u + 106 = -50. What is the remainder when u is divided by 10?
9
Let n = 11 + -7. Suppose -12 - 9 = -3*m. Suppose 5*c - j - 10 = 19, 5*j = 2*c - m. Calculate the remainder when c is divided by n.
2
Suppose 0 = -5*l - 2*l + 154. Calculate the remainder when l is divided by 12.
10
Suppose -4*b = 5*t + 18, t + t - 4*b = -24. Let v be 4*(-3)/t + 1. Let l(o) = 5*o**2 - 3*o + 1. Calculate the remainder when l(v) is divided by 13.
11
Let l = 2 + -2. Suppose l = -h + 3 - 4. Let k = h + 4. Calculate the remainder when 7 is divided by k.
1
Let r(b) = -b**2 - 12*b - 4. Calculate the remainder when r(-8) is divided by 17.
11
Suppose -3*l + 57 = -9. Suppose 5*z + 63 = 2*c, -3*z + l = 5*c - 58. Calculate the remainder when c is divided by 10.
9
Suppose -6*l + 2*l = -152. Suppose 18 = 3*g - 0*g - 3*i, -5*g + i + 46 = 0. Calculate the remainder when l is divided by g.
8
Let j(d) = -5*d**3 + 5*d**2 + 4*d + 6. Let l(a) = -6*a**3 + 5*a**2 + 5*a + 7. Let s(f) = 5*j(f) - 4*l(f). What is the remainder when 2 is divided by s(5)?
0
Suppose 2*w - 3*q = -2*w + 25, 3*w = -q + 35. What is the remainder when w is divided by (-1)/(4 - 3) + 7?
4
Let r(z) = -7*z - 51. Calculate the remainder when 8 is divided by r(-8).
3
Suppose 0*u + 3 = u. Suppose -4*p = -x - 53, u*x = -x - 4. Suppose 38 + 147 = 5*c. What is the remainder when c is divided by p?
11
Suppose 0 = 5*w + 5*d - 5, 0*d + 3*d + 11 = 4*w. Let i(h) = 3*h - 9. What is the remainder when i(6) is divided by w?
1
Let g = -27 + 45. Let h(l) = 2*l - 5. Let x(v) = v - 2. Let i(p) = -2*h(p) + 5*x(p). Calculate the remainder when g is divided by i(7).
4
Let h(k) = -4*k**3 + k**2 - 1. Calculate the remainder when 14 is divided by h(-1).
2
Let i = 4 - 2. Let y(q) = -q**3 + 6*q**2 + 8*q - 6. Calculate the remainder when i is divided by y(7).
0
What is the remainder when (0 - 12)*(-6)/4 is divided by 10?
8
Let v = -8 + -5. Let c = v + 23. Calculate the remainder when 19 is divided by c.
9
Suppose -3*p - 4*o = -63 - 6, -p + 22 = o. Calculate the remainder when 93 is divided by p.
17
Let z = -88 - -206. Calculate the remainder when z is divided by 20.
18
Suppose 5*o = 3*f + 147, -6*f + 94 = 3*o - 2*f. What is the remainder when 117 is divided by o?
27
Suppose -5*m + 24 = -21. What is the remainder when 24 is divided by m?
6
Let m be 1 + 0 + (5 - 4). Calculate the remainder when 63 is divided by 80/10*4/m.
15
Suppose 35 = 5*m - 4*m. Let b = m + -20. Suppose -172 = -4*h - q, -q - 43 = -h + 3*q. Calculate the remainder when h is divided by b.
13
Let z = 3 + -1. Let p = 9 - z. Suppose -8*q + c + 97 = -3*q, -2*c + 6 = 0. Calculate the remainder when q is divided by p.
6
Suppose 5*d - 110 = 3*d. Let u = -27 + d. Calculate the remainder when u is divided by 15.
13
Let q = 17 + -14. Let s(p) = 3*p**2 + 6*p - 1. Let w be s(5). Suppose q*k = k + w. Calculate the remainder when k is divided by 18.
16
Suppose -15 = -c + 58. Suppose 5*y - 15 = 0, -4*z + y + c = -0*z. What is the remainder when z is divided by 7?
5
Let k(h) = 4*h - 13. Let w be (3/(-2))/((-1)/(-2)). Let s = 15 + w. Calculate the remainder when k(9) is divided by s.
11
Suppose -31 = -h - 5*x + 49, -h = 4*x - 81. Calculate the remainder when h is divided by 15.
10
Let q be (28/16)/((-2)/(-24)). Let b = -13 + q. Let p = 74 - 51. Calculate the remainder when p is divided by b.
7
Suppose 3*j - 18 = -0. Suppose 2*g - 3*y - 29 = 0, y + 5 = 2*g - 26. Calculate the remainder when g is divided by j.
4
Suppose 29 = 5*i - 16. Let a = 32 - i. Suppose -5*j - 17 = h, 3*j + a = 2*h + 5. Calculate the remainder when 9 is divided by h.
0
Let d(w) = w**3 + 6*w**2 - 4*w - 9. Suppose -2*f + 43 = -f. Calculate the remainder when f is divided by d(-6).
13
Let t = -5 - 0. Let u(g) = -2*g - 3. Calculate the remainder when 9 + (1 + -2)*-3 is divided by u(t).
5
Let a(n) = -n - 2. Let f(z) = 2. Let k(l) = -3*a(l) - 4*f(l). Suppose -114 + 0 = -3*b. What is the remainder when b is divided by k(5)?
12
Let h(q) = -4*q + 1. Let y be h(1). Let w = y - -12. Calculate the remainder when w is divided by 5.
4
Let t be 4/6 - 676/(-3). Let y = t + -158. Calculate the remainder when y is divided by 24.
20
Suppose -5*n = -4*z - 22 - 33, 0 = -4*z + n - 75. Let h be -1 - (-32)/(2/2). Let o = z + h. What is the remainder when o is divided by 4?
3
Calculate the remainder when (0 - -138)*(-6)/(-18) is divided by 24.
22
Suppose 4*s - 12 = 0, 5*t + 0*t - 5*s - 85 = 0. Calculate the remainder when 39 is divided by t.
19
Let i(p) = -p**3 - 7*p**2 + 8*p + 11. What is the remainder when 53 is divided by i(-8)?
9
Let m = -3 + 7. Let t = 4 - m. Suppose t*o - 2*o + 15 = -p, -3*o + 5*p = -5. What is the remainder when 28 is divided by o?
8
Let q(m) = -m**2 - 3*m - 6. Let a be q(-3). Calculate the remainder when 68 + 3 - a/(-2) is divided by 23.
22
Let y = -12 - -5. Let z = y + 11. Suppose -5*p + 0*d = -z*d - 5, 0 = -p + 3*d - 10. What is the remainder when p is divided by 2?
1
Calculate the remainder when 18*(-2)/((-4)/5) is divided by ((-3)/(-18))/(4/12)*48.
21
Let y(o) = 21*o**2 + 1. Let c(j) = -j + 8. Let x(s) = 4*s - 32. Let v(f) = 9*c(f) + 2*x(f). Calculate the remainder when y(-1) is divided by v(0).
6
Let w(r) = -3*r**3 + r**2 - 3*r + 1. Let a be w(2). Let z = -15 - a. Calculate the remainder when 38 is divided by z.
8
Let k(q) = q - 8. Let a be k(11). Suppose 8*p - 55 = a*p. Calculate the remainder when 42 is divided by p.
9
Let m = -2 - 14. Let w = 39 + m. Let o = 34 - w. Calculate the remainder when 20 is divided by o.
9
Let h = -12 - -4. Let f = -11 - h. Let z = f + 8. What is the remainder when z is divided by 2?
1
Let j = -14 - -19. Calculate the remainder when 32 is divided by j.
2
Let j(a) = 2*a - 2. Let r be j(12). What is the remainder when (-84)/(-22) - (-4)/r is divided by 3?
1
Let b = -43 + 91. Let k be ((-6)/4)/((-3)/(-4)). Calculate the remainder when b is divided by 14 - (k + 0 - 1).
14
Let n(c) = 2*c**2 + 5*c + 1. Suppose 0 = -p + 6 + 1. Calculate the remainder when n(-4) is divided by p.
6
Let q be -1 + 5 + -2 + 2. Suppose -3*m = q - 40. Calculate the remainder when m is divided by 2/(-10) - 36/(-5).
5
Suppose 3*u + 0*u - 9 = -w, -4*u + 5 = -w. Let v(s) = s**3 - s**2 + 2*s + 1. Calculate the remainder when v(w) is divided by 4/6 - (-25)/3.
7
Let l(o) = o**2 + 2*o + 1. Let a be l(-1). Suppose -3*q + 3 + 51 = a. Let d(b) = -b**2 - 7*b. Calculate the remainder when q is divided by d(-5).
8
Suppose 0 = 5*n + 4*f + 54, f + 40 = -2*n + 4*f. Let k = 25 + n. Suppose -4*m + 60 = -64. What is the remainder when m is divided by k?
9
Suppose -5*j + 0 = -k + 4, 5*k = j + 20. Suppose -4*q = -j*q - 4*c - 28, -4*c + 8 = 5*q. Suppose 46 = q*b + 14. Calculate the remainder when 14 is divided by b.
6
Let z(t) = -13*t - 3. Let r be ((-22)/(-6))/(1/3