 p(b) = -b**2 - 17*b - 5. Calculate the remainder when p(-16) is divided by 4.
3
Let o(a) = -a**3 + 2*a**2 + a - 1. Let k = 9 + -6. Suppose -5*h - k*j - 4 + 24 = 0, -14 = h - 3*j. What is the remainder when h is divided by o(2)?
0
Calculate the remainder when -89*(40/(-30) + (-3)/(-9)) is divided by 31.
27
Let w = -253 + 261. Suppose -2*l + 110 = 3*l. What is the remainder when l is divided by w?
6
Let m = 36 - 20. Suppose 63 = -s + 108. Calculate the remainder when s is divided by m.
13
Suppose 16 = -3*l - 17. Let y = 3 - l. Let v(c) = 4*c**3 + 3*c**2 - c - 1. What is the remainder when v(2) is divided by y?
13
Suppose n = 3*n - 70. Let i(j) = -j**2 - j. Let p be i(4). Let f = p + n. What is the remainder when 29 is divided by f?
14
Suppose -183 + 1139 = 5*c + 4*b, 3*c + 4*b - 572 = 0. Calculate the remainder when c is divided by 49.
45
Suppose 41 = n - 0*n. Let j(b) = 4 - 2*b + 2 - 6 + b**3. What is the remainder when n is divided by j(3)?
20
Let s(g) = -4*g**3 + g. Let m be s(-1). Suppose 2*p + m*a = 0, 5 = 5*p + 3*a + 2*a. What is the remainder when 5 is divided by p?
2
Suppose 0 = q - 2*q. Suppose q = 6*t - 2*t - 104. Calculate the remainder when t is divided by 14.
12
Suppose a - 4 = -4*p + 3*p, -a - 4*p = -7. Suppose 0 = d - a*d + 8. Suppose 5 = -5*g + 20, d*s + 5*g = 35. What is the remainder when s is divided by 2?
1
Suppose 4*u - 18 = 2. Let z be -2 + 13 + 1 + -2. Calculate the remainder when u is divided by ((-4)/(-10))/(2/z).
1
Let r = 7 - -1. Let c = r + -4. What is the remainder when 11 is divided by c?
3
Let b = 0 - -2. Suppose b*d - 2*a - 16 = 0, 5*a = -0*d - d + 14. Let k(o) = -o**3 - 3*o**2 + 3*o + 1. Calculate the remainder when d is divided by k(-4).
4
Let s(p) = 11*p**2 - 7*p - 7. Let j = 129 - 42. Let m = j - 46. What is the remainder when m is divided by s(-1)?
8
Let g(m) = -m**3 + 2*m**2 + 3*m. Let y be g(3). Suppose 2*f - 4*k = -y*f + 6, -2*k + 9 = -5*f. Let t = f + 6. What is the remainder when 7 is divided by t?
1
Let i(k) = k + 11. What is the remainder when (2/(-4))/((-7)/574) is divided by i(0)?
8
Suppose 0 = -g - 4*g + 230. What is the remainder when g is divided by 12/(-14)*(-4 - 10)?
10
Let q(v) = v**2 + 2*v. Let o be q(2). Let m = 0 + o. What is the remainder when ((-4)/6)/(14/(-273)) is divided by m?
5
Suppose 3*x = -12 + 102. Let s = -16 + x. Let y = 11 + -3. What is the remainder when s is divided by y?
6
Suppose -m + 135 = 3*m - 3*k, 4*m = -k + 115. Let l(o) = o**2 - 2*o. Let x be l(2). Suppose x = -5*f + m + 160. What is the remainder when f is divided by 13?
12
Let h be (-6)/(-4)*36/(-6). Let w = -5 - h. Let a = 5 - w. What is the remainder when 1 is divided by a?
0
Let v(q) = -41*q + 22. Let a be v(-15). Suppose 2*f = -0*g - g + 125, 5*g + 4*f = a. What is the remainder when g is divided by 33?
30
Let k(p) = 8*p**2 + p - 1. Suppose 3 = 4*l - 1. What is the remainder when 30 is divided by k(l)?
6
Let a = 46 + -79. What is the remainder when 19 is divided by a/(-5) + (-2)/(-5)?
5
Suppose 0 = 2*q + q - 9, c + 10 = 4*q. Let w(i) = 2*i**2 - 4*i - 4. What is the remainder when 21 - 0 - (-3 + c) is divided by w(4)?
10
Suppose -i = -2*i + 10. Let o(t) be the first derivative of -t**2 - 10*t + 2. What is the remainder when i is divided by o(-8)?
4
Calculate the remainder when 20 is divided by (102/(-21) - -4)*-14.
8
Suppose -92 = 2*b - 6*b + y, -2*b - 3*y + 32 = 0. Suppose 0 = 4*z - 16 - 8. Calculate the remainder when b is divided by z.
4
Let b = -110 - -161. Calculate the remainder when b is divided by 26.
25
Let t(h) = 38*h + 1. Calculate the remainder when t(1) is divided by 22.
17
Let w(u) = 15*u + 2. Suppose -5*g + 5 = -3*s, g + 2 - 3 = s. What is the remainder when 84 is divided by w(g)?
16
Suppose -v + 5 = 1, 5*p + 5*v = 35. Suppose 36 + 111 = p*c. Calculate the remainder when c is divided by 17.
15
Suppose 7*d + 80 = 11*d. Calculate the remainder when 55 is divided by d.
15
Let z = -45 - -65. What is the remainder when 33 is divided by (-8)/z + 47/5?
6
Let c be 2/(12/(-8) + 1). Calculate the remainder when ((-6)/4)/((-1)/6) is divided by (0 - -1)/((-1)/c).
1
Suppose 4 = -0*t + 2*t. Calculate the remainder when 2/(-4) + 17/t is divided by 5.
3
Suppose 0 = -5*y + 3*y + 344. Suppose 5*o - y = 3*p, -4*p - 35 = 4*o - 147. Suppose -3*u = u - 2*i - o, 8 = -4*i. What is the remainder when u is divided by 4?
3
Let w be 131 + (-6)/(2 + 1). Suppose x - w = -2*x. What is the remainder when x is divided by 15?
13
Let t(o) = o**2 + 46. Let w be t(0). Suppose 2*f - 26 = -g, 3*f + 3*g = 5*g + w. Calculate the remainder when 81 is divided by f.
11
Let u = 58 + -41. What is the remainder when 50 is divided by u?
16
Let d = 69 - -42. Let h = 156 - d. Calculate the remainder when h is divided by 12.
9
Let d = 8 + 2. What is the remainder when 19 is divided by d?
9
Suppose 21 = 3*n - 0*n. Calculate the remainder when 26 is divided by n.
5
Let t(p) = -p**2 - 11*p + 29. Calculate the remainder when 187 is divided by t(-9).
46
Suppose 2*b = -2*s + 66, 0 = 4*b - 5*s - 0*s - 168. Let d = 69 - 30. Suppose -3*j = 4*o - 31 - 8, 3*j + o - d = 0. What is the remainder when b is divided by j?
11
Let p(x) = -9*x + 2. Let w be (30 + (-2)/(-2))*-1. Let i = w - -50. What is the remainder when p(-6) is divided by i?
18
Suppose -4*g = -2*g - 26. Suppose l + 0*l = g. Calculate the remainder when 49 is divided by l.
10
Let z be -3 + 6 - 4/(-2). Let x(s) = -s**3 + 4*s**2 + 5*s + 3. Calculate the remainder when x(z) is divided by 1.
0
Let j = 97 - 377. What is the remainder when j/(-6) + 10/(-15) is divided by 12?
10
Suppose 0 = -2*y - 0*y + 4. What is the remainder when 2/(-3*(-5)/30) is divided by y?
0
Let b = -89 + 99. What is the remainder when 129 is divided by b?
9
Let g = -36 + 61. Calculate the remainder when 121 is divided by g.
21
Suppose 0 = -j, -2*j + 0*j = 5*u + 40. Let f = 1 + u. Let m(p) = -p**2 - 9*p - 10. What is the remainder when 7 is divided by m(f)?
3
Let d(q) = 11*q + 1. Let i be d(7). Let m = i + -34. Let x(g) = 16*g**3 - g. Calculate the remainder when m is divided by x(1).
14
What is the remainder when 99 is divided by (-11 - -1)*(0 + -2)?
19
Let v(d) = -d + 7. Let s be v(5). Suppose s*a + 24 = -4*i + 74, -5*i + 85 = -2*a. Suppose 7*n - 129 = 4*n. Calculate the remainder when n is divided by i.
13
Calculate the remainder when 81 is divided by 250/9 - -3*18/243.
25
Suppose -3*k + 9 = -2*k. Suppose k = -3*x - z + 57, 4*x + z - 63 = 0. What is the remainder when 57 is divided by x?
12
Let t(y) = 2*y + 7. Suppose -u + 2*u - 43 = 0. What is the remainder when u is divided by t(4)?
13
Let y = 14 - 8. Suppose -2 = c - 4*x, y*x = -5*c + x + 15. What is the remainder when 11 is divided by (c - (2 - 7)) + -1?
5
Let s = 38 - 31. What is the remainder when 40 is divided by s?
5
Let v = 10 + 2. What is the remainder when 34 is divided by v?
10
Suppose 69*z - 72*z = -387. What is the remainder when z is divided by 22?
19
Let z(b) = b**2 + 10*b - 4. Suppose -v - 4*v - 55 = 0. What is the remainder when 18 is divided by z(v)?
4
Let n be (-3 - -2 - -4)*1. Suppose n*h - 56 = h. Calculate the remainder when h is divided by 16.
12
Suppose 2*n = 5*s - 21, n + s + 5 = 6*n. Suppose n - 4 = -t. Let i = -8 - -12. What is the remainder when i is divided by t?
0
Suppose 0*h + h = 4*q + 58, 2*q - 322 = -4*h. Calculate the remainder when h is divided by 20.
18
Let q be 1 + 2/(-2) - -2. Let j(n) = 3*n + 2. Let d = -73 + 88. Calculate the remainder when d is divided by j(q).
7
Let g(s) = -s + 6. Let p = 2 - -1. Suppose -9 = -8*d + 7. What is the remainder when g(p) is divided by d?
1
Suppose -55 = -4*m - m. Let w(u) = u - 1. Let b be w(4). Suppose -g + m = b*g + 3*q, 4*g - 4*q - 4 = 0. Calculate the remainder when g is divided by 1.
0
Let h = 12 + -2. Let a = h + -6. Suppose -9 = p - a*p. What is the remainder when 11 is divided by p?
2
Calculate the remainder when 39 is divided by (-6)/4 + (-90)/(-4).
18
Let q(l) = l**2 - 5*l + 1. Suppose -c - 68 = -3*a - 5*c, c = -4. Calculate the remainder when a is divided by q(7).
13
Let a(m) = m - 4. Let t be a(3). Calculate the remainder when 20 is divided by -22*(3/(-2) - t).
9
Let u be (0 - (-2)/(-4))*-6. Suppose 2*x = -u*o + 41, o - 5*x + 4 = -5. Let p(c) = -21*c - 1. What is the remainder when p(-1) i