+ 166 = -4*x + 5*n, 0 = x - 5*n - 113. Calculate the remainder when x is divided by 24.
21
Let z = -3 + 6. Suppose f - z = 4*s - 2*s, -9 = 4*s - 3*f. Suppose s*p = 3*p - 87. Calculate the remainder when p is divided by 10.
9
Let t(p) = -p**3 - 16*p**2 - 17*p. Let l be t(-15). Suppose l = 11*w - 6*w. Calculate the remainder when 15 is divided by w.
3
Suppose 92 = -y - 3*y + v, y + 23 = -v. Let x = y - -38. Calculate the remainder when 44 is divided by x.
14
Let a = -36 - -89. Let c = -22 + a. What is the remainder when c is divided by 16?
15
Let q(a) = 2*a**2 - 10*a - 6. Calculate the remainder when q(-5) is divided by 25.
19
Suppose 4*h + 186 = 7*h. Let v = h - 41. What is the remainder when 61 is divided by v?
19
Let w(i) = 10*i**3 - i**2 + 3. What is the remainder when w(2) is divided by 21?
16
Let b be (1*(-6 + -1))/1. Let h = 45 + b. What is the remainder when h is divided by (1 - -4)*(-78)/(-30)?
12
Suppose 4*t = 4 - 16. Calculate the remainder when 7 is divided by 0 + 5 + t + 1.
1
Let t = 49 + -24. Calculate the remainder when t is divided by (2 + 3/(-1))*-14.
11
Suppose 0*n + 4*q = n - 18, -4*n + q + 12 = 0. Suppose n*y + 31 - 73 = 0. Calculate the remainder when y is divided by 12.
9
Suppose -175 - 70 = -5*z. Let w(l) be the second derivative of -l**3/3 + 3*l**2/2 + l. What is the remainder when z is divided by w(-7)?
15
Let v = 78 + -67. Calculate the remainder when 27 is divided by v.
5
What is the remainder when 23 is divided by 33/55 + (-44)/(-10)?
3
Let p = -7 - -7. Suppose y = 2 - p. Let a = -1 + 4. Calculate the remainder when a is divided by y.
1
Suppose 19 = -t + 83. What is the remainder when t is divided by 11?
9
Let c(w) = -w**2 - 3*w + 5. Let m be c(-4). Suppose 14 = 4*r - r + 2*o, -4*r = -2*o. Calculate the remainder when r is divided by (-2 - -3) + 1 - m.
0
Suppose -4 = 4*p, 3*k + 4*p - 22 = -p. Suppose -9*o + k = -6*o. Suppose -2*v + 4*v + 3 = -a, -3*v - 2*a = 7. Calculate the remainder when o is divided by v.
0
Suppose -38 = 4*t + 14. Let f = -4 - t. Let y(i) = 2*i**2 - 3*i - 2. Calculate the remainder when y(-3) is divided by f.
7
Suppose -7*z + 3*z = -248. What is the remainder when z is divided by 16?
14
Suppose 0 = -4*p - 12. Let u(a) = a**2 + 2*a + 2. Let q be u(p). Suppose 4*w = -3*d + 50, -4*w + q*d = d - 64. What is the remainder when 41 is divided by w?
13
Suppose 2*j + 106 = 5*m - 53, -4*j = -2*m + 54. Suppose m = s + 2*s. Calculate the remainder when 32 is divided by s.
10
Let u = 19 + -19. Let w(o) = -o**3 - 2*o**2 + 4*o - 3. What is the remainder when w(-5) is divided by u + 15 + (-5 - -8)?
16
Let a = 11 - 0. Let s = 11 + -4. What is the remainder when a is divided by s?
4
Suppose 0 = -5*v - 0*v + 15. Let c = v + 10. Let n(r) = -r**3 - r**2 + 3*r - 4. Calculate the remainder when c is divided by n(-3).
3
Suppose -4*n - 2*z - 1039 = -9*n, 0 = -3*n - z + 619. Suppose -11 = 4*l - n. Calculate the remainder when l is divided by 17.
15
Let h = 1 - -3. Let c(n) = -2*n**3 - n**2 + n + 1. Let b be c(-1). Calculate the remainder when h is divided by -2*2*b/(-2).
0
Let u = 8 - -2. Suppose -m - 2*y + 5 = 0, 4*y + 46 - 2 = 4*m. Suppose 5*z = m + 131. What is the remainder when z is divided by u?
8
Let g(x) = -x**3 + 9*x**2 - 7*x - 4. Let z be g(8). Let b(l) = -3 + 3 + z*l**2 - l - l**2. What is the remainder when 26 is divided by b(-2)?
12
Let y = 3 - 6. Calculate the remainder when (-37)/y + 2/(-6) is divided by 5.
2
Let v = -10 + 40. What is the remainder when 149 is divided by v?
29
Suppose -3*p + 20 = p, -3*j + 5*p = -149. Calculate the remainder when j is divided by 20.
18
Suppose -7 = -2*b + 4*y + 15, 5*b = -3*y + 107. What is the remainder when b is divided by (-6 + 0)*5/(-3)?
9
Let g = 3 - -1. Suppose -x + 155 = g*x. Suppose -x - 39 = -3*d + 5*b, -4*d = 4*b - 40. What is the remainder when 28 is divided by d?
13
Suppose 0 = 5*b - b + 3*c - 572, 2*c + 552 = 4*b. What is the remainder when b is divided by 18?
14
Suppose 2*h + 8 = 0, 2*v + v = 4*h - 95. Let p = -16 - v. Suppose -p + 3 = -4*f + w, 3*f + 4*w = 4. Calculate the remainder when f is divided by 3.
1
Let x(v) = -8*v - 6. What is the remainder when x(-7) is divided by 17?
16
Let t(x) = 2*x**2 + 19*x + 17. Calculate the remainder when t(-12) is divided by 16.
13
Suppose 0 = -3*m - 3*v + 27, -v + 27 = 3*m - 0. Suppose -4*z + 2 = -b + z, b - 4 = -z. Calculate the remainder when m is divided by b.
0
Let v be (309/3 - 0)/1. Suppose 3*i + 4*y = 61 + 37, 3*i + 5*y - v = 0. What is the remainder when 24 is divided by -1*4*i/(-8)?
11
Suppose -5*p + 2*t - t + 5 = 0, -5*p + 2*t = 0. Calculate the remainder when 4/(-14)*14/(-2) is divided by p.
0
Let a = 5 + -1. Calculate the remainder when a is divided by (9/15)/(3/(-45)*-3).
1
Let j = 3 + 3. Let d(u) = u**2 - 6*u + 2. Let y be d(j). Suppose -i - 31 = -y*c - 0*c, -c - i + 14 = 0. What is the remainder when 28 is divided by c?
13
Let g(l) = -2*l**3 + l**2 + 3*l + 3. Calculate the remainder when g(-2) is divided by (-8)/(-36) - 104/(-18).
5
Let s be 3/(-3) - (-3)/1. Suppose 0 - 6 = -s*m. Suppose -2*f = m*f - 45. What is the remainder when 16 is divided by f?
7
Let z be (-4)/24 + 2/12. Suppose 12*s - 17*s + 65 = z. What is the remainder when 25 is divided by s?
12
Calculate the remainder when (-765)/(-6) + 2/(-4) is divided by 33 + -2 - (-7 + 6).
31
Let o = -169 + 262. Let x(k) = k**3 + 6*k**2 + 6*k + 1. Let y be x(-4). Suppose -4*p - y = -o. What is the remainder when 61 is divided by p?
19
Calculate the remainder when 157 is divided by (1 - (-1 + -1)) + (45 - 16).
29
Let o = -9 + 10. Suppose -5 = t - 4*d, 3*t + d = -4*d + 53. Calculate the remainder when (16/(-10))/(o/(-20)) is divided by t.
10
Suppose 2*a = -4*s + 14, 0*a + 4*a - 4*s = 88. Let z(k) = k**3 - 6*k**2 - 11*k - 7. What is the remainder when z(8) is divided by a?
16
What is the remainder when (-46)/((-2)/(-6)*-3) is divided by 12?
10
Let r(p) = p**3 + 6*p**2 + 7*p + 4. What is the remainder when 15 is divided by r(-3)?
5
Suppose -3*o + 4*f = -0*f - 154, -o = -f - 53. What is the remainder when o is divided by 16?
10
Let u = 41 + 32. Calculate the remainder when u is divided by 15.
13
Let x(d) = 2*d**2 - 11*d + 6. Let p = 10 + -3. Let c be x(p). Let z = c + 40. What is the remainder when z is divided by 17?
16
Suppose 9*a - 192 = 3*a. Calculate the remainder when a is divided by 9.
5
Let a = -2 + 10. Let d(u) = u**2 + 8*u + 34. What is the remainder when d(-6) is divided by a?
6
Suppose 6*a - 9*a + 21 = 0. What is the remainder when a is divided by 3?
1
Let v be (-104)/(-12) + 2/6. Let s(y) = y + 6. Calculate the remainder when s(v) is divided by 8.
7
Let c(s) = s**3 - 4*s**2 + 6*s - 10. What is the remainder when c(5) is divided by 16?
13
Let a be 2 - (-3 + 1)/1. Suppose a*g = 11 + 9. Calculate the remainder when 8 is divided by g.
3
Suppose -3*y + 20 = -y - 2*l, 3*y - 20 = 5*l. Suppose 4*g = 2*c + 42, -2*c = 4*g - 17 - 5. Calculate the remainder when y is divided by g.
7
Let k = -84 + 119. Calculate the remainder when k is divided by 12.
11
Let t be 1/(2*(-3)/(-852)). Suppose 5*y - t + 52 = 0. Suppose 4*r - 2*r = y. What is the remainder when r is divided by 6?
3
Let z(q) = -q**3 - 17*q**2 - 33*q - 16. Calculate the remainder when z(-15) is divided by 18.
11
Let a be (-4)/(-18) + (-43)/(-9). Suppose -5*g - 12 + 70 = 4*p, -4*g = a*p - 68. What is the remainder when p is divided by 5?
2
Let q = 47 - 34. Suppose 2*d = 4*k + 4*d + 2, 4*d = -k - 4. What is the remainder when (25 - k/3) + -1 is divided by q?
11
Suppose -5*z = -k - 2, 4*z - k - 1 = -0*k. Let v be 0 - (3 - z - 3). Let r = 7 - v. Calculate the remainder when r is divided by 3.
0
Suppose -m - 64 = i + 4*i, 0 = 3*i + 2*m + 44. Let u be 32/(-6)*45/i. Let d = -11 + u. What is the remainder when 25 is divided by d?
7
Calculate the remainder when 73 is divided by -4*(44/(-8) + -4).
35
Let v = -22 - -39. Let z = -71 + 102. What is the remainder when z is divided by v?
14
Suppose -22*s = -20*s - 18. What is the remainder when (-1)/3 + 49/3 is divided by s?
7
Let l(p) = 6*p - 4*p**2 + 12*p**2 - 2 - 4*p. Calculate the remainder when l(-2) is divided by 14.
12
Suppose 0 = 5*w - w + 8. Calculate the remainder when (-9)/(-3) + w - -21 is divided by 8.
6
Suppose w + 6 = 7. What is the remainder when 56 i