5*c - 0*c + 8, 12 = -3*u. Suppose c = -4*b + 3*b + 15. Let a = 1 - -7. Calculate the remainder when b is divided by a.
7
Suppose 0 = 2*j - 1 - 9. Suppose 0 = 4*h + 2*n - 82, 4*n + 54 = 3*h + 3*n. Calculate the remainder when h is divided by j.
4
Let d(a) = 3*a - 2. Suppose 4*h - 15 = 5*k + 48, -3*h + 5*k + 51 = 0. Suppose -m + 4*m = h. Calculate the remainder when d(3) is divided by m.
3
Let k(v) = v + 4. Let b(o) = o**3 - 3*o**2 + 2. What is the remainder when b(3) is divided by k(-2)?
0
Let x(j) = 11*j - 3. Let l be x(5). Suppose 8*n - 4*n - l = 0. What is the remainder when 24 is divided by n?
11
Let t be (-2 - 0)/(-2) + -1. Let i = 10 - t. Calculate the remainder when 27 is divided by i.
7
Let y = 209 - 45. Suppose i = 4*j + 1 - 27, -5*j + 25 = -5*i. What is the remainder when y/8 - (-1)/(-2) is divided by j?
6
What is the remainder when 17 is divided by (2 + 1 + -21)/(-2)?
8
Suppose -51 = -4*d - 5*y + 28, -5*d = y - 104. What is the remainder when 39 is divided by d?
18
Suppose 0*g - g - 13 = 0. Let s = g + 32. Calculate the remainder when (-2 + 1)/(3/(-108)) is divided by s.
17
Let w be -1*1/((-1)/4). Suppose 4*n - 2*k = 90, -w*k + 97 + 9 = 5*n. Suppose -2*c + 10 = -n. Calculate the remainder when 46 is divided by c.
14
Suppose r = 2*r - 7. Suppose -3*l + 38 = -r. Calculate the remainder when 57 is divided by l.
12
Suppose 4*m = -5*n + 342, -5*n + 3*m = -n - 255. Calculate the remainder when 195 is divided by n.
63
What is the remainder when 344/4 + 4 + (-8)/(-2) is divided by 8?
6
Suppose -p - 3 = -10. What is the remainder when 20 is divided by p?
6
Suppose -2*i + 5*i - 27 = 0. Suppose -6*g - 27 = -4*h - g, -g = -2*h + i. Calculate the remainder when 10 is divided by h.
1
Suppose 4*f - 208 - 108 = 0. What is the remainder when f is divided by 9?
7
Let h(m) = m**2 + 2*m + 3. Let z be (-1 + (-6)/(-4))*-4. Calculate the remainder when 0 + 1 - (3 - 6) is divided by h(z).
1
Let v = -4 - -4. Suppose 0 = f - v + 4, -4*f - 31 = -3*s. Suppose s*y - 4 = 16. Calculate the remainder when 6 is divided by y.
2
Suppose 0*k + 140 = 5*k. Calculate the remainder when 83 is divided by k.
27
Suppose -m - 3 = 12. Let y = 30 + m. Calculate the remainder when 28 is divided by y.
13
Suppose l + 247 = 5*z, -2*l + 186 = 4*z + 3*l. Calculate the remainder when z is divided by 17.
15
Let d = 56 - 19. Suppose 19 = 3*r + 3*f - 26, -4*f = -8. What is the remainder when d is divided by r?
11
Suppose 0 = -3*a + 269 + 16. Suppose 4*q - q - a = 4*n, -q + 5*n + 50 = 0. Calculate the remainder when 48 is divided by q.
23
Suppose -q + 9*v = 12*v - 23, -49 = -3*q - 5*v. What is the remainder when 127 is divided by q?
7
Let z(u) = u**3 + u**2 - u + 2. Let d be z(0). Suppose -d*r = 3*r - 170. Calculate the remainder when r is divided by 9.
7
Let u(l) = -l**3 - 13*l**2 - 11*l + 37. Calculate the remainder when u(-12) is divided by 11.
3
Suppose 0*r + 4*r - 13 = 3*l, -l = 4*r + 31. Let y = l - -18. What is the remainder when 19 is divided by y?
5
Calculate the remainder when 5 - (0 + -260 + 1) is divided by 53.
52
Calculate the remainder when 42 is divided by (55/10)/((-2)/(-4)).
9
Let m(r) = 2*r**2 + 7*r - 11. What is the remainder when m(-8) is divided by 23?
15
Suppose -10 = -2*a + 4*x, -5*a = -2*x - 8 - 1. Let p be (4/1)/(-1)*a. Let c = 3 - p. What is the remainder when 26 is divided by c?
5
Let m(n) = -2*n**3 - n**2 - 4*n - 2. Let k be m(-3). Let i = -31 + k. What is the remainder when (-208)/(-3) - 4/(-6) is divided by i?
22
Let w(f) = f**2 - 5*f. Let z be w(5). Let t be -1*1*(-1 - 0). Calculate the remainder when 13 is divided by (-2 + 7)/t - z.
3
Let w be (-200)/(-12) - (-1)/3. Suppose 0 = -v + t + w, 2*v + v + t - 43 = 0. Calculate the remainder when 58 is divided by v.
13
Calculate the remainder when (2/6)/(11/1551) is divided by 17.
13
Let b(u) = u**2 + u - 1. What is the remainder when b(-4) is divided by (-2 - -3)*(-1 - -10)/3?
2
Let w = 274 + -140. What is the remainder when w is divided by -3 + 148/(-3 + 7)?
32
Suppose -2*a = -y + 3 + 10, 0 = y + 3*a + 12. Let r be (y/(-4))/(2/(-240)). What is the remainder when 27 is divided by ((-2)/3)/((-4)/r)?
12
Suppose 5*z - 42 = 2*z. Calculate the remainder when 21/(-49) - (-510)/z is divided by 13.
10
Suppose -3*v + p + 37 = 0, -3*v = -4*v - 3*p + 19. Let u(g) = -g + 1. Calculate the remainder when v is divided by u(-4).
3
Suppose -5*h = -3*h - 40. Calculate the remainder when (114/4)/((-6)/(-8)) is divided by h.
18
Let v(r) = r**2 + 16*r + 6. What is the remainder when 9 is divided by v(-16)?
3
Let q(w) = 4*w**3 - 2*w**2 - w - 2. What is the remainder when 98 is divided by q(2)?
18
Suppose -2*m = m - 150. Calculate the remainder when m is divided by (24 - -2)/(3 + -1).
11
Let u(m) = m**3 + 8*m**2 - 5*m + 41. Calculate the remainder when 23 is divided by u(-9).
3
Let s be 36/(-8)*20/(-3). Suppose -n - 3*m = -4*n - s, -41 = 5*n - 2*m. What is the remainder when (n/(-2))/((-8)/(-48)) is divided by 6?
3
Let s be 5/2 - 2/4. Suppose -4*l = s*u, -15 = u + 5*l - 0*l. Let d = -6 + u. Calculate the remainder when 10 is divided by d.
2
Let p = 10 - 7. Suppose 41 = 2*v + a, 0 = v + a - p*a - 33. Calculate the remainder when 90 is divided by v.
21
Let g(i) = i**2 + 7*i + 12. Calculate the remainder when 36 is divided by g(-8).
16
Let u = 41 - -6. Suppose -30 - 14 = -3*i + 4*r, 2*r = 5*i - 78. Calculate the remainder when u is divided by i.
15
Suppose j - 42 = -0*j - k, 2*j + 3*k = 81. What is the remainder when j is divided by 19?
7
Let u = -5 + 9. Suppose 0 = n + 5*c + 2, 2*c + u = 2. Suppose 5*s = n*r - 40, 3*s - 29 = 5*r - 85. What is the remainder when 28 is divided by r?
8
Let u(h) = h + 4. Calculate the remainder when 22 is divided by u(8).
10
Let j(g) = 11*g**2. Let y(x) = x**2 - x. What is the remainder when y(5) is divided by j(1)?
9
Let n be ((-4)/8)/((-2)/8). What is the remainder when 3/(-2) - (-99)/n is divided by 25?
23
Let a = -19 + 11. What is the remainder when 22 is divided by a*(3 + (-9)/2)?
10
Suppose 2*g - 8 = 4*h + 30, -3*g = 5*h - 13. Calculate the remainder when g is divided by (1*-2)/(4/(-6)).
2
Suppose 2*q + 11 + 19 = 0. Let p = q - -32. What is the remainder when 67 is divided by p?
16
Let n be (3/2)/(3/8). Suppose -2*s - 2*a + 137 = 3*s, n*s = 5*a + 136. Calculate the remainder when s is divided by 1*9/((-81)/(-72)).
5
Let y be (0 - 13)/(9/81). Let c = -82 - y. Calculate the remainder when c is divided by 12.
11
Let t(h) = h**3 + 15*h**2 - 18*h + 8. Calculate the remainder when t(-16) is divided by 11.
7
Suppose i = -4*h + 23, -i - 2*h - 13 = -7*h. What is the remainder when 20 is divided by i?
6
Let b = 40 + -3. Calculate the remainder when b is divided by 4/(-14) - (-279)/21.
11
Suppose -3*d = -4*d + 3. Suppose 0 = -d*b - 2 + 29. What is the remainder when 25 is divided by b?
7
Let b(g) = g**2 + 6*g - 8. What is the remainder when b(4) is divided by 17?
15
Let a(u) be the second derivative of u**4/12 + u**3/2 - u**2 + u. Calculate the remainder when a(-8) is divided by 20.
18
Let i be 6/21 + 15/21. Calculate the remainder when 23 is divided by (-10)/15*(-12)/i.
7
Let o be (-3)/9 + (-1)/(-3). Suppose 0 = -2*j - q + 25, o = 5*q - 1 - 14. What is the remainder when 31 is divided by j?
9
Suppose j = -2*u + 98, -196 = -4*u + 2*j + 2*j. What is the remainder when u is divided by (-26 + 9)*(-1)/1?
15
Suppose -2*g - 3*g = 0. Suppose f + g*f - 55 = 0. What is the remainder when f is divided by 19?
17
Let n = -49 - -87. Let f be (-1)/(-4) - n/(-8). Suppose -7*t - 4*o = -3*t - 84, f*o - 57 = -2*t. What is the remainder when 31 is divided by t?
15
Suppose -3*o + 3*s + 9 = -12, 2*o = 4*s + 20. Let k = 6 - o. Calculate the remainder when 8 - (-2 - (k + -2)) is divided by 6.
4
Suppose 0 = -10*y + 9 + 101. What is the remainder when y is divided by 8?
3
Let o(z) = -30*z + 1. What is the remainder when o(-1) is divided by 11?
9
Let a = -39 + 78. What is the remainder when a is divided by (-3)/((-45)/3) + (-728)/(-35)?
18
Let z(b) = -b**3 - b. Let h be z(-1). Suppose -a - 2*a = -30. Let u = a + h. Calculate the remainder when 33 is divided by u.
9
Let g = 125 + -85. What is the remainder when g is divided by 11?
7
Let d(n) = 7*n - 15. What is the remainder when 105 is divided by d(6)?
24
Let r = 3 - 5. Let w(h) = h**