is divided by a(m).
11
Suppose 2*z - 5 = 11. Let f(x) be the first derivative of x**2 - 4*x + 3. What is the remainder when 23 is divided by f(z)?
11
Let u(q) = q**3 - 12*q**2 - 13*q + 9. Calculate the remainder when 52 is divided by u(13).
7
Let y(t) = 36*t + 1 + 5 - 4. Let m be y(3). Let f = -76 + m. Calculate the remainder when f is divided by 12.
10
Let k(s) = -s**3 + 14*s**2 - 12*s - 4. What is the remainder when 35 is divided by k(13)?
8
Let t(n) = -4*n. Let q be t(-1). Suppose q*z + 40 = 8. What is the remainder when (-268)/(-7) - z/(-28) is divided by 10?
8
Let z(c) = c**2 + 4*c + 7. What is the remainder when (-186)/(-8) - 1/4 is divided by z(-5)?
11
Let d = -50 + 55. What is the remainder when (3 - (-2)/(-3))*3 is divided by d?
2
What is the remainder when 31 is divided by 1/((-3)/(-52)) - (-30)/45?
13
Suppose -3*i = 3, m - 2*i - 6 = -m. Suppose 4 = m*g - 10. Suppose 2*h = -2*d + 46, 41 = h + 4*d + 9. Calculate the remainder when h is divided by g.
6
Let a = -11 - -30. Calculate the remainder when 33 is divided by a.
14
Let b(a) = 2*a**2 + 66*a - 59. Let n(u) = u**3 + 6*u**2 - 6*u + 7. What is the remainder when n(-6) is divided by b(-34)?
7
Suppose -2*b + 0 = -3*l + 9, 3*b + 10 = l. Suppose -r + l + 2 = 2*o, -21 = -3*r - 2*o. Let q = 0 + r. Calculate the remainder when 17 is divided by q.
8
Let q(l) = l**2 - 10*l - 10. Let b be q(8). Let a = -17 - b. Calculate the remainder when 15 is divided by a.
6
Let x = 27 - 9. Suppose -2*m + 6 - 2 = n, -5*m - 2*n = -12. What is the remainder when 724/14 + m/14 is divided by x?
16
Let t = 60 + -29. Calculate the remainder when t is divided by 16.
15
Suppose 62 + 30 = 4*v. Let q(u) = -2*u. Let t be q(-3). Suppose t + 6 = o. What is the remainder when v is divided by o?
11
Suppose 3*w - 15 = -2*w. Let s = 9 - w. Let l = -5 - -20. What is the remainder when l is divided by s?
3
Let g(r) = r**3 + 5*r**2 - r + 4. What is the remainder when 95 is divided by g(-3)?
20
Calculate the remainder when 48 is divided by 0 + 14 - (-4)/(4/3).
14
Let o(c) = 4*c**2 - 16*c + 3. Calculate the remainder when o(8) is divided by 34.
29
Let u(t) = 4*t**2 + 5*t. Suppose -3*v + 22 = -4*f - 39, 3*v - 49 = f. Calculate the remainder when u(-4) is divided by v.
14
What is the remainder when 57 is divided by (-6)/24 - (-122)/8?
12
Calculate the remainder when 149 is divided by 90*(-2 - (-14)/6).
29
Let k(l) be the first derivative of l**3/6 + 15*l**2/2 - 3*l - 1. Let m(p) be the first derivative of k(p). What is the remainder when 27 is divided by m(0)?
12
Suppose 20 = -2*j + 7*j. Suppose -f - 1 = -3. Calculate the remainder when f is divided by 44/(-55)*(-10)/j.
0
Let h be -42 + 4/2 + -2. Let v = -16 - h. What is the remainder when v is divided by 10 - (0/(-4) - -1)?
8
Suppose -3*u + 12 + 75 = 0. Calculate the remainder when u is divided by 18/21*(-112)/(-12).
5
Suppose -5*i - 3*a - 113 = -553, 0 = -i + 4*a + 88. What is the remainder when i is divided by 23?
19
Let b = -22 + 8. Let r = b + 21. Calculate the remainder when r is divided by 5.
2
Let p = -3 + 8. Suppose -p*y = -2*y + 9. Let h = y + 13. Calculate the remainder when 28 is divided by h.
8
Suppose m + 3*c = c + 17, -2*m - 2*c + 28 = 0. What is the remainder when 398/m + 2/(-11) is divided by 19?
17
Suppose 4*f - 40 - 8 = 0. Calculate the remainder when 35 is divided by f.
11
Calculate the remainder when (-25)/(-10)*41/(-5)*-2 is divided by 7.
6
Let q(k) = k - 1. Let w be q(-2). Calculate the remainder when 3 is divided by (w/(-9))/(1/3).
0
Let z(k) = k**3 + 7*k**2 - 3*k + 2. What is the remainder when (-2 - -4) + (-43)/(-1) is divided by z(-7)?
22
Let h = 82 - 57. Calculate the remainder when h is divided by 13.
12
Let y = 2 + 13. Suppose -5*f = -2*f - y. Suppose 1 = -d + f. Calculate the remainder when d is divided by 2.
0
Let o = 149 - 104. Calculate the remainder when 20 is divided by 6/(-4) - o/(-6).
2
Let x = -2 + -1. Let a = x + 3. Suppose -3*j + 0*j - r + 78 = a, 4*r + 13 = j. Calculate the remainder when j is divided by 13.
12
Let r = 61 + -48. What is the remainder when r is divided by 8?
5
Suppose -r + 12 - 3 = 3*i, -3*r = -5*i + 1. Suppose 9 - 3 = r*v. Let z = 11 + -7. What is the remainder when z is divided by v?
0
Let y = 47 - 23. Let t = -4 + y. Calculate the remainder when 77 is divided by t.
17
Calculate the remainder when (-2 + 9)/((-1)/(-2)) is divided by 8.
6
What is the remainder when 97 is divided by 62/(-8)*-4 - (-6)/(-2)?
13
Suppose 58*c - 54*c = 204. What is the remainder when 203 is divided by c?
50
Suppose r + 3 - 6 = 4*s, 0 = r + 5*s - 30. Calculate the remainder when 55 is divided by r.
10
Suppose -m + j = -23, 2*m + 2 = -j + 57. Let x = -15 + m. What is the remainder when 21 is divided by x?
10
Suppose 0 = -2*b + 9 - 5. Let c = 287 - 187. Suppose -5*f + 132 = 4*p, -5*f - c = -4*p - b*f. What is the remainder when p is divided by 10?
8
Suppose 0 = 4*b - 163 - 53. Calculate the remainder when b is divided by 14.
12
Let c(z) = -z - 3. Let q be c(3). Suppose 4*i = -75 - 125. Calculate the remainder when 23 is divided by i/q - (-1)/(-3).
7
Suppose 4*m - 4 = 0, 5*o - 4*m = -m + 82. Let a = 62 + -13. Calculate the remainder when a is divided by o.
15
Let f(g) = 4*g**2 + g - 5. Suppose -4*x - 40 = -4*w, 5*x + 13 = -w + 47. What is the remainder when f(-4) is divided by w?
13
Let s(r) = -r**2 + 9*r - 9. Let c be s(8). Suppose 0 = -7*f + 411 - 145. Calculate the remainder when f is divided by (7 - c)*5/4.
8
Suppose -65 + 85 = 5*w. Let k = 18 + -11. Calculate the remainder when k is divided by w.
3
Let m(y) = 3*y - 31. Calculate the remainder when 89 is divided by m(18).
20
Suppose -3*j + 29 + 67 = -5*b, 4*j + 3*b = 157. What is the remainder when j is divided by 13?
11
Let i = -147 - -166. Suppose -2*z + 17 = -3*y, 0*z - 5*y = 5*z - 30. Calculate the remainder when i is divided by z.
5
Let v be 4*(3 - (-15)/(-6)). Let q(r) = 1 - 1 - 3 + v - r**2 - 2*r - 2*r**3. What is the remainder when q(-3) is divided by 13?
11
Let p = 449 - 287. Calculate the remainder when p is divided by 55.
52
Let o = 113 - 54. Suppose 3*t - 22 = -5*c + o, 4*t - 3*c - 79 = 0. Let b(n) = -8*n + 24. Calculate the remainder when b(-5) is divided by t.
20
Let x(l) = l**3 + 7*l**2 + 4*l - 7. Let w be x(-6). Suppose 20 = w*b - b. What is the remainder when 18 is divided by b?
3
Let a(p) = p**2 - 10*p - 39. Calculate the remainder when 48 is divided by a(14).
14
Let a(q) = q + 10. Let x be a(-7). Suppose 0 = u + 2*h - 15, -30 = u - x*u - 2*h. Calculate the remainder when 41 is divided by u.
11
Let m = 27 + -19. What is the remainder when m is divided by 4?
0
Let z(i) = i**3 - 4*i**2 - 7*i - 1. Suppose 3*m = -3*g + 60, 1 = 5*g - 3*m - 67. Calculate the remainder when z(6) is divided by g.
13
Let m(z) = -z**2 + z + 2. Let n be m(4). Let q = -2 - n. Calculate the remainder when 31 is divided by q.
7
Suppose 3*o = 7*o - 12. Suppose 5*z + 5*m = 245, 2*z + o*m + 0*m = 99. Suppose -z = -2*i - 2*i. What is the remainder when 22 is divided by i?
10
Suppose 0*w + w - 64 = -3*u, 5*u = 4*w + 135. Calculate the remainder when u is divided by 12.
11
Let a(w) be the first derivative of -w**3/3 - 5*w**2 + 9*w + 3. Calculate the remainder when a(-10) is divided by 4.
1
Let t(x) = x**3 - 5*x**2 + 5*x. Let v be t(4). Suppose -3*g - 27 = 3*d, 0*d + v*g - 68 = 4*d. Let s = d - -30. Calculate the remainder when s is divided by 9.
8
Suppose -4 = c + 3*b + 1, 0 = -5*c - 4*b + 30. What is the remainder when 47 is divided by c?
7
Let t(y) = -y**2 - 8*y + 6. Let b = -7 - -2. What is the remainder when 40 is divided by t(b)?
19
Suppose k - 3 = -1. Let y be (-126)/10 - k/5. Let f = -8 - y. What is the remainder when 8 is divided by f?
3
Let q(x) = 2*x**2 - 6*x + 6. Let s be q(3). Suppose s*r - 255 = r. Calculate the remainder when r is divided by 13.
12
Calculate the remainder when 6 is divided by -4 - 8*1/(-1).
2
Let t(x) = x**3 - x**2 + 5*x - 3. Calculate the remainder when 42 is divided by t(3).
12
Let w(h) = -h**3 - 9*h**2 - h - 4. Let p be w(-9). Suppose -3*c + p*q + 68 = 0, 0*c - 5*c + 4*q + 96 = 0. What is the remainder when 29 is divided by c?
13
Let f(t) = 2*t**2 - 4*t + 1. What is the remainder when f(-4) is divided by 5?
4
Let t(k) = k**3 + 7*k**2 - 10*k - 4. Let j = 2 + -10. What is the re