p**2 - 15*p + 15. Let i be m(14). What is the remainder when z(i) is divided by 15?
13
Suppose -6 = 2*z - 24. Calculate the remainder when 33 is divided by z.
6
Suppose -2*j = 4*y - 54, 6*j - j + 2*y - 111 = 0. Suppose -4*z - 2*n + 26 = -0*n, j = 3*z + n. What is the remainder when 23 is divided by z?
7
Let t(a) be the first derivative of 7*a**3/3 - a**2/2 + a + 1. Suppose -2*d + 66 - 18 = 0. Calculate the remainder when d is divided by t(-1).
6
Let a(o) be the third derivative of -o**5/60 - 5*o**4/24 + 5*o**3/6 + 2*o**2. Let n be a(-6). Calculate the remainder when 22 is divided by (3/6)/(n/(-24)).
10
Suppose q = -0*q + 3. Suppose -4*w + 3*t + 174 = 0, q*w - 1 = -2*t + 138. What is the remainder when w is divided by 12?
9
Suppose -3*y - 2*t = -6 - 7, -2*y - 8 = -2*t. Calculate the remainder when y is divided by (12/9)/((-16)/(-12)).
0
Let z(m) = 3*m**2 - 3*m - 3. Let c(f) = -2*f**2 + 3*f + 2. Let d(v) = 5*c(v) + 4*z(v). Let r(h) = 2*h - 5. What is the remainder when d(-3) is divided by r(4)?
1
Suppose 0 = -2*a - 1 + 19. Calculate the remainder when 65 is divided by 196/9 - (-2)/a.
21
Let z = 138 - 76. Calculate the remainder when z is divided by 13.
10
Let o = 45 + -74. Let p = 50 + o. What is the remainder when 61 is divided by p?
19
Suppose 5*s = -3*b + 127, -2*b - 58 = -5*s + 49. Calculate the remainder when s is divided by (6/(-4))/(2/(-16)).
11
Let l = 119 + -97. Let i(u) = -u + 1. Calculate the remainder when l is divided by i(-7).
6
Let k(g) = -g + 7. Let a(m) = m**2 - m + 3. Let t be a(0). Let x be k(t). Suppose 0 = x*o + 7 - 23. What is the remainder when 10 is divided by o?
2
Let f = 76 - 52. Suppose -2*u = -0*u - f. Calculate the remainder when (1 - (4 + -1)) + 24 is divided by u.
10
Let n be (0 - 1)*(-30)/(-5). What is the remainder when 7 is divided by ((-2)/6)/(1/n)?
1
Let a(r) = r**3 + 7*r**2 + 7*r + 6. Let u be a(-6). Let c = 5 + u. Let d = -3 + 5. Calculate the remainder when c is divided by d.
1
Suppose 2*u - 33 - 3 = 0. What is the remainder when 33 is divided by u?
15
Let z = 1 - 22. Suppose 0 = -y + 2*t - 5*t + 41, y = 5*t + 17. Let x = z + y. What is the remainder when x is divided by 4?
3
Suppose 5*b - 20 = -2*t, 0 = -2*b + 3*b + 4*t + 14. Calculate the remainder when 17 is divided by b.
5
Suppose t = -3*t + 456. Suppose 3*h - t - 87 = 0. Calculate the remainder when h is divided by (-205)/(-9) - 2/(-9).
21
Let t(n) be the first derivative of -n**3/3 + 5*n**2 - 12*n + 1. Calculate the remainder when t(8) is divided by 3.
1
Let c be (-2 + 1 - 3)/1. Let o = c + 17. What is the remainder when (1*-1 + 0)*-37 is divided by o?
11
Suppose 4*c + 10 = -3*p + 109, -2*p + 4*c + 86 = 0. Calculate the remainder when 181 is divided by p.
33
Let z = 27 + -64. Let t = 56 - z. What is the remainder when t is divided by 19?
17
Suppose 9*s - 4*s = 15. Suppose -90 - 264 = -s*n. Calculate the remainder when n is divided by 30.
28
Suppose 0 = -5*l + 8*l - 42. Suppose 5*o - 3*d = 105, -o = -3*d + l - 35. Calculate the remainder when o is divided by 11.
10
Let v = 64 + -38. Suppose v - 91 = -5*i. Calculate the remainder when 37 is divided by i.
11
Suppose 2*q + 2 = 4*f - 0*f, -5*f = 2*q - 25. Let b be (1/(-1))/(f/21). Let s(c) = -c**2 - 10*c - 6. Calculate the remainder when 29 is divided by s(b).
14
Let a = 1 - -12. Suppose 3*i = -2*f + 20, 0 = f - 0*i - 5*i + 16. Suppose 31 - 11 = f*q. What is the remainder when a is divided by q?
3
Let c = -181 - -185. What is the remainder when (-4)/(-14) + (-89)/(-7) is divided by c?
1
Suppose 3*o = 2*r + 932, 0 = -5*o + 2*o - 2*r + 928. Suppose -2*l + o = 5*b - 5*l, 0 = -b + l + 62. Calculate the remainder when b is divided by 21.
20
Suppose -44 = -j + 5*o, 2*o + 57 = 5*j - 48. What is the remainder when j is divided by 5?
4
Suppose 0 = x - 5*x + 8. Suppose 2*m - x*g = 8, g + 1 - 5 = 0. Calculate the remainder when -3 + 1 + 37 + 18/(-3) is divided by m.
5
Let w(i) = i + 8. Let p = -13 - -9. Let g be w(p). Suppose -g*y + 14 = -6. Calculate the remainder when y is divided by 2.
1
Suppose 5*r + 100 = 3*s, 4*s - 3*s - 10 = -3*r. Calculate the remainder when 71 is divided by s.
21
Suppose 5*t - 7 = 2*b, 4*b - 6*t + 4*t = -6. Suppose g + 2 = -3*h, 6 = -h - h. Calculate the remainder when g is divided by (-2 - b)/(3/(-9)).
1
Let u(k) = -2*k**3 - 3 + 1 + 0 - k + 8*k**2 + 3*k**3. What is the remainder when u(-8) is divided by 3?
0
Let r = -9 - -5. Let k = r + 4. Calculate the remainder when 64 is divided by 21 - (-3 + 2) - k.
20
Suppose 5*w - 90 = -0*w. Let n = w - 15. Calculate the remainder when 4 is divided by n.
1
Suppose -3*p + 4*g = -193, 5*p - 4*g = -g + 307. Calculate the remainder when p is divided by 6.
5
Suppose -2*y + 7 = -d - 6, 2*y = -3*d + 9. Suppose 3*w = 3*v - 36, -3*w + 6*w - 54 = -3*v. What is the remainder when v is divided by y?
3
Let r(m) = m**3 + 22. What is the remainder when 9823/114 + (3 - (-19)/(-6)) is divided by r(0)?
20
Suppose -4*r - 48 = -6*r. Calculate the remainder when r is divided by 7.
3
Suppose 0 = 5*o - 0*o - 50. Calculate the remainder when o is divided by (16/24)/((-4)/(-18)).
1
Let y = 35 + -11. What is the remainder when 71 is divided by y?
23
Let x(s) = s. Let j(m) = -7*m - 11. Let n(r) = j(r) + x(r). What is the remainder when n(-8) is divided by 19?
18
Suppose -2*o - 7 = q - 4, q - 5*o = 11. What is the remainder when 2 is divided by q?
0
Suppose -2*c + 23 = -c. Suppose 48 = 2*p + 2*p. What is the remainder when c is divided by p?
11
Suppose 0 = -3*b + 35 + 37. Calculate the remainder when 92 is divided by b.
20
Suppose -4*w = -5*q + 3*q - 60, -w - 4*q = 3. Let t be 2 - (-1 + 0 + 4). Calculate the remainder when (t + 2 - 0) + 24 is divided by w.
12
Suppose -3*b = m - 121, -2*m - m = -b + 57. Let q = -2 - -4. Suppose -5*k - 71 = -3*d, q*d - 6*d + 86 = 2*k. What is the remainder when b is divided by d?
20
Let i(c) = c + 23. What is the remainder when i(-12) is divided by 3?
2
Suppose i = 5*i - 348. Suppose -3*g + 54 = -i. What is the remainder when g is divided by 16?
15
Let w(t) = 2*t + 8. Let l(y) = -y**2 + 11*y + 9. Calculate the remainder when w(13) is divided by l(11).
7
Suppose 0 = -3*f + 126 + 27. Suppose -5*i - 45 = -5*a, i - 9 = 4*a - f. What is the remainder when 30 is divided by a?
8
Suppose -4*m - 16 = -4*w, -w = -0*w + m - 6. Suppose -w*n = -175 + 25. Calculate the remainder when n is divided by 8.
6
What is the remainder when 1230/36 + (-2)/12 is divided by 12?
10
Let m(x) = 6*x + 8 - x - 7*x**2 + 2*x + x**3. Calculate the remainder when m(7) is divided by 15.
12
Suppose -3*k - 3*n + 387 = 0, -k + 5*n - 27 = -126. Suppose k = 3*q + q. What is the remainder when 91 is divided by q?
29
Let a be (-3 + 39/9)*3. Suppose a*w = 7*w - 45. What is the remainder when 57 is divided by w?
12
Let l = 18 - 4. Calculate the remainder when 53 is divided by l.
11
Suppose 0 = 5*l - 13 - 17. Let g(q) = -15*q + 1. What is the remainder when g(-1) is divided by l?
4
Suppose -4*n + 104 = 2*v, 2*n - 10 = 5*v - 294. Calculate the remainder when v is divided by 540/28 + 4/(-14).
18
Let h(o) = -o**3 + 7*o**2 - 5*o. Calculate the remainder when 23 is divided by h(6).
5
Let s(g) = g**3 + 7*g**2 - 9*g - 12. Suppose -28 = 3*x - 4. Let r be s(x). Let d = 3 - r. Calculate the remainder when 19 is divided by d.
5
Let t = 2 + 1. Suppose r - t*r - 3*a + 14 = 0, -5*a = r - 14. Let y = 25 - 10. Calculate the remainder when y is divided by r.
3
Suppose 0*u - 3*u = -12. Suppose u = -2*g, -c + 3*g = -2*c - 2. Calculate the remainder when c is divided by 1/((-3)/(-2) - (-8)/(-8)).
0
Suppose 5*x - x + 5*j = 159, -2*x = -3*j - 85. Suppose 3*p = p - 3*d + 16, -3*d + 30 = 3*p. Calculate the remainder when x is divided by p.
13
Let c(m) = -8*m**3 + m**2 + 2*m + 2. Calculate the remainder when 38 is divided by c(-1).
2
Let v(i) = -54*i + 1. Let s = 47 + -28. What is the remainder when v(-1) is divided by s?
17
Suppose 34 = -4*f + 142. Calculate the remainder when f is divided by 7.
6
Suppose 2*h - 4 = h. Suppose h*c - 1 = 35. Let a(l) = 2*l - 8. What is the remainder when 27 is divided by a(c)?
7
Suppose 32 = -y + 5*y. What is the remainder when y is divided by 5?
3
Suppose -2*h + 43 = -h + p, -4*h + 184 = -2*p. What is the remainder when 177 is divided by h?
42
Suppose 5*n = -7 + 52. What is the 