w(n). Let o = 27 - x. What is the remainder when 34 is divided by o?
10
Suppose b - 3*b = -110. Calculate the remainder when b is divided by 19.
17
Let l(o) = -o - 9. Let p be l(-9). Let u be p/3*1 + 12. Calculate the remainder when 24 is divided by u/54 + (-230)/(-18).
11
Suppose 4*m - 146 = -0*m + 2*z, -z + 179 = 5*m. Suppose m = 3*h + h - 4*p, -4*h - 2*p + 30 = 0. Calculate the remainder when 15 is divided by h.
7
Let t(p) be the third derivative of p**5/60 - p**3/2 - 5*p**2. Calculate the remainder when 63 is divided by t(5).
19
Suppose -h + 3 = 1. Suppose -h*f + 23 + 15 = 0. Calculate the remainder when f is divided by 1 - 1/((-2)/12).
5
Let x(b) = 14*b**2 - b - 1. Let d(y) = -y - 9. Let j be d(-8). Calculate the remainder when 41 is divided by x(j).
13
Let h(t) = t**3 - 5*t**2 - t + 6. Let u be h(6). Suppose -4 - u = -a. Let o = 72 - a. What is the remainder when o is divided by 11?
10
Suppose y - 20 = -u + 30, 2*u - 3*y - 105 = 0. What is the remainder when u is divided by 18?
15
Let j(v) = 31*v - 18. Calculate the remainder when j(3) is divided by ((-38)/(-8))/((-1)/(-4)).
18
Suppose -2*f + 1 + 9 = 0. Suppose -f*u = -3*u - 20. What is the remainder when u is divided by 4?
2
Suppose -5*j + 10*j = 50. Calculate the remainder when 47 is divided by j.
7
Suppose 2*p = s + s - 6, -6 = -2*s - p. Suppose 8 = s*a - 16. Calculate the remainder when a is divided by 3.
2
Let w(c) = c**3 + 9*c**2 + 8*c + 6. Calculate the remainder when 22 is divided by w(-8).
4
Let d(w) = 0*w**2 + 3*w**3 - 5*w**2 - 3 - 2*w**3 - 4*w. Let i(o) = -o**3 - 7*o**2 + 6*o - 11. What is the remainder when d(6) is divided by i(-8)?
4
Let s = -8 - -13. Suppose -3*k + 5*y = 8, 2*k = 3*k + 3*y - 16. Suppose -k*i + 2*i + 16 = 0. Calculate the remainder when i is divided by s.
3
Let i(j) be the first derivative of -3*j**4/4 - j + 4. Calculate the remainder when i(-2) is divided by 8.
7
Suppose 0 = -5*n + 75 + 30. Suppose -5*i + 84 = -n. Calculate the remainder when i is divided by 12.
9
Let d(m) = m**3 - 7*m**2 + 4*m + 3. Let w be d(6). Calculate the remainder when 5/((-10)/(-4)) - w is divided by 4.
3
Suppose -6*b = -b - 100. Calculate the remainder when 58 is divided by b.
18
Let b = -4 - -13. Let l = -9 + 18. Suppose 78 = 3*r + 3*o, -3*r = 4*o - l - 69. What is the remainder when r is divided by b?
8
Let a(f) = f**2 - 9*f + 10. Let r be a(9). Let j = r + 2. What is the remainder when (-23)/(1 + (-4 - -2)) is divided by j?
11
Calculate the remainder when 99 is divided by 2/(231/75 - 3).
24
Let n = -68 - -115. What is the remainder when n is divided by 12?
11
Let u(y) = y**2 + 6*y + 7. What is the remainder when (6/8)/(3/12) is divided by u(-5)?
1
Suppose 3*w = 90 + 6. What is the remainder when w is divided by 10?
2
Suppose 0 = 4*u - 3*u. Let o(f) = -f**2 - f + 52. Suppose 4*d + i - 10 = 59, -d + 4*i + 30 = 0. What is the remainder when o(u) is divided by d?
16
What is the remainder when (-2 + -20)*(-4 - -3) is divided by 5?
2
Calculate the remainder when 33 is divided by (15/(-5))/((-9)/51).
16
Let h be 0/((0 + 3)/3). Let d(s) = 2*s**2 - 5*s + 1. What is the remainder when d(4) is divided by h/(-2) + -1 + 8?
6
Let g = 466 + -454. Suppose 4*i - 3*i = 34. Calculate the remainder when i is divided by g.
10
Suppose -3*v - 4*o + 21 = 0, -3*v + 28 = v + 2*o. Let h = v - 2. Suppose h*x - x = 40. Calculate the remainder when 37 is divided by x.
7
What is the remainder when 128*(-9)/(-6)*(-2)/(-6) is divided by 11?
9
Let f(k) = -7*k + 2. Calculate the remainder when f(-5) is divided by 0 + 15 + -1 + 0.
9
Let y be 20/(-25)*(1 - -4). What is the remainder when 5 is divided by (y/(-6))/(4/12)?
1
Let s = 11 + -5. Suppose -15 - 5 = -5*p. Suppose -5*a + a + 2*b = -74, p*a + 5*b = 39. What is the remainder when a is divided by s?
4
Let r = 4 + -4. Suppose 10 = 5*s + i, 4*s + r*s - 3*i = 8. Suppose -s*t + 6 = z - 0*t, 0 = -2*t - 6. Calculate the remainder when 22 is divided by z.
10
Suppose 3*i - 5*q + 4 = 0, 3*i = q - 1 + 5. Calculate the remainder when 2*-1 - (-49 + i) is divided by (-63)/(-5) + 18/(-30).
9
Let b(g) = -g**2 - 3*g + 3. What is the remainder when (11/(-3) - 24/(-36))*-3 is divided by b(-3)?
0
Suppose 2*v = -3*g + 41, 3*g - 5*v = 2*g - 9. What is the remainder when g is divided by 5?
1
Let v(w) = 6*w**2 - w + 2. Suppose 0 = 2*b - 2*k + 4, 3*b + 11 = k + 3*k. What is the remainder when v(1) is divided by b?
1
Let z be (-4 - -1)*(-8)/6. Suppose 2*s + 94 = 4*w, -z*s = w - 2*s - 11. What is the remainder when w is divided by 11?
10
Suppose 2*d + 2*d = -68. Let u = 25 + d. Let k(s) = -s**2 + 9*s - 2. What is the remainder when 10 is divided by k(u)?
4
Suppose -5*y - 32 = -2. Let f(q) = q**2 + 5*q + 6. Let t(u) = -5*u + 3. What is the remainder when t(-4) is divided by f(y)?
11
Calculate the remainder when 68/(-3)*(-13 + 10) is divided by 23.
22
Suppose 3 = -4*n + 79. What is the remainder when 113 is divided by n?
18
Calculate the remainder when (-297 + -3)/(-4) + -4 is divided by 24.
23
Let w = 50 + 1. What is the remainder when w is divided by 18?
15
Let g(c) = 5*c - 1. What is the remainder when g(6) is divided by 10?
9
Let i(z) be the first derivative of -z**4/4 - z**2 - z - 2. What is the remainder when 32 is divided by i(-2)?
10
Let r = -2 + 7. Suppose -4*w - 2*b = -48, w + r - 22 = 2*b. Suppose -w = -5*q + 7. Calculate the remainder when 11 is divided by q.
3
Let s = -37 + 66. Let n = 11 + -1. Calculate the remainder when s is divided by n.
9
Let q be (-32)/(-18) + (-20)/(-90). Suppose h = -l + 64, -h + 55 = -q*l - 0*l. Calculate the remainder when h is divided by 16.
13
Let k = 47 - 33. What is the remainder when k is divided by 4?
2
Let n be 60/(-18)*(-12)/10. Suppose -a + 485 = n*a. Calculate the remainder when a is divided by 25.
22
Let q = 62 - 56. Calculate the remainder when 21 is divided by q.
3
Suppose 4*g = -g + 45. Let l be -135 + 2*g/6. What is the remainder when l/(-9) + 1/3 is divided by 8?
7
Let m = 3 - -27. What is the remainder when 89 is divided by m?
29
Let b(k) = -1 - 3*k**3 + 3*k + 5*k**3 - k. Let l be b(1). Suppose 0*i - 4*g - 56 = -i, -l*g = 3*i - 123. Calculate the remainder when i is divided by 15.
14
Let f = 27 + -15. Let j be (-14)/(-6) - (-8)/f. Let b(d) = 5*d. What is the remainder when 44 is divided by b(j)?
14
What is the remainder when (-6)/2 + 102*1 is divided by 25?
24
Calculate the remainder when (-3)/(-12) + 174/8 is divided by (-93)/(-12) - 1/(-4).
6
What is the remainder when 162/4 + (2 - 1)/2 is divided by 11?
8
Let s(k) = -12*k**2 - 2*k - 1. Let t be s(-1). Let g(m) = m**3 + 7*m**2 - 9*m - 6. Calculate the remainder when g(-8) is divided by t/(-9) + 4/(-18).
0
Let r(f) = f**2 - 12*f - 9. Let b be r(13). Suppose -71 = -b*y - 11. Calculate the remainder when 26 is divided by y.
11
Let c be (3/6)/((-1)/(-164)). Suppose 0 = 2*b - 0*o - 3*o + 105, -157 = 3*b - 5*o. Let s = c + b. What is the remainder when s is divided by 15?
13
Suppose 0 = 5*c - 31 - 64. Calculate the remainder when c is divided by 4.
3
Let u(l) = -l**3 - 9*l**2 - 9*l - 5. Calculate the remainder when 4 is divided by u(-8).
1
Suppose -q - 5*m = -76 + 13, -228 = -3*q - 2*m. Calculate the remainder when q is divided by 20.
18
Suppose 164 = 4*q - 4*b, -233 = 4*q - 9*q - 2*b. What is the remainder when q is divided by 16?
13
Suppose 0*m - 42 = -2*m. Calculate the remainder when m is divided by 11.
10
Suppose -3*t = 6, -d + 3*d - 3*t - 80 = 0. What is the remainder when d is divided by 20?
17
Suppose 3*r - 13 = 44. Calculate the remainder when r is divided by 5.
4
Let x(p) = -4*p + 9*p + p**2 - 5 + 2. Let h be (-14)/2*(-1 - -2). What is the remainder when x(h) is divided by 6?
5
Let k(o) = -o**3 - 6*o**2 - 9*o + 10. What is the remainder when k(-5) is divided by 17?
13
Suppose 60 - 70 = -2*h. Suppose -3*b + 1 + 56 = 0. Calculate the remainder when b is divided by h.
4
Calculate the remainder when 77 is divided by (-1)/((-3)/9) + 17.
17
Let a be 1/(-2) - (-11)/2. Suppose 57 = 3*h - 4*s, -95 = -a*h + 3*s - 5*s. Let m(w) = -11*w - 30. Calculate the remainder when m(-6) is divided by h.
17
Suppose -6*a + 3*s = -2*a - 337, 0 = 3*a + s - 269. Suppose 2*v - a = -4*y + 7*v, 3*v - 93 = -3*y. Calculate the remainder when 51 is divided by y.
24
Let a = -4 - -7. Suppose a*u - 10 = 2. W