culate the remainder when (-2)/(-6) + (-208)/(-6) is divided by (-1)/(78/27 + -3).
8
Suppose -4*p = 5*j + 10, 3*p + 15 = -0. What is the remainder when (12 + -4)*1/j is divided by 2?
0
Suppose i - 27 = -2*i. Suppose -5*s + 1 = -i. What is the remainder when (-26)/(-6) + (-2)/(-3) is divided by s?
1
Suppose -3*a - 4*s = -206 - 54, 90 = a - 2*s. Calculate the remainder when a is divided by 30.
28
Let p(o) = o**3 - 11*o**2 + o - 9. Let u be p(11). Suppose 0 = 4*s + q - 145 + 10, 0 = -s - u*q + 32. What is the remainder when s is divided by 12?
10
Suppose -t = 4*g - 7, -4*g - 4*t + 2 = -g. Let v = g + 3. What is the remainder when 8 is divided by v?
3
Suppose -3 = y - 5. Suppose -v + 20 = 3*v. Calculate the remainder when v is divided by y.
1
Let s = -15 - -26. Let l be 74/14 - (-2)/(-7). Let z = l - 1. What is the remainder when s is divided by z?
3
What is the remainder when (-4 + (-136)/(-20) + -2)*95 is divided by 13?
11
Let s(m) = -m**2 + 16*m + 5. Calculate the remainder when s(10) is divided by 22.
21
Suppose -17*z = -15*z - 38. What is the remainder when 53 is divided by z?
15
Suppose 2*r + 0*t - t = 84, 2*t + 8 = 0. Calculate the remainder when r is divided by 14.
12
Let s be 0/((-3)/(6 - 3)). Suppose 3*d = 24 - s. Suppose -73 = -j - d*x + 3*x, -3*x = 4*j - 241. What is the remainder when j is divided by 20?
18
Suppose 10*l - 69 = 5*l - 3*v, -3*v - 39 = -4*l. What is the remainder when -4*4/(-48)*105 is divided by l?
11
Let k(z) = 6*z**3 + 2*z**2 - z. What is the remainder when 32 is divided by k(1)?
4
Suppose 2*s - 3*c + 8 = 6*s, 0 = c + 4. Suppose -4*m = 4*f + m - 29, 0 = s*f + 2*m - 32. What is the remainder when 17 is divided by f?
5
Suppose 3*b = 8*b + 20. What is the remainder when 735/12 - (-1)/b is divided by 21?
19
Let u = -4 - -2. Let m = 2 + u. What is the remainder when 30 + m + 4/2 is divided by 11?
10
What is the remainder when 85 is divided by (11/3)/((-1)/(-6))?
19
Suppose 0 = -m + 4, -4*f + 5*m = -2*f - 14. What is the remainder when f is divided by 5?
2
Let k = -37 + 43. Suppose -2*y = x - 2*x + 16, -3*x = 5*y - 48. What is the remainder when x is divided by k?
4
Let d = -67 + 113. What is the remainder when 182 is divided by d?
44
Let t = -143 - -296. What is the remainder when t is divided by 26?
23
Let i(u) = u**3 + 3*u**2 - 3*u - 4. Let h(c) = -2*c**3 - 7*c**2 + 7*c + 8. Let w(n) = -3*h(n) - 7*i(n). What is the remainder when 11 is divided by w(0)?
3
Let l be 2*759/6*-1. Let g = 358 + l. Calculate the remainder when g is divided by 27.
24
Suppose -4*c + 63 = v, 3*v + 56 = 2*c + 21. Calculate the remainder when 31 is divided by c.
15
Calculate the remainder when 33 is divided by ((-7)/21)/((-2)/108).
15
Let l be (0 + 2/2)*2. Suppose -j + 3 = 0, -l*z = z + j - 87. Calculate the remainder when z is divided by 15.
13
Suppose 4*f = 2*h - 18, 0 = 2*f + 3*f - 5. Calculate the remainder when 54 is divided by h.
10
Suppose -5*g = -2*o + o - 71, 4*g + 2*o - 68 = 0. Calculate the remainder when 72 is divided by g.
12
Let u(m) = m**3 - 2*m**2 - 4. Suppose 5*j - 2 - 18 = 0. Calculate the remainder when 55 is divided by u(j).
27
Suppose -2*c - h + 2*h = -50, -5*c + 125 = 3*h. What is the remainder when c is divided by 9?
7
Suppose 3*r + 1 = 7. Suppose -4*m = 3*s - 66, 2*s + r*s = -3*m + 81. What is the remainder when 33 is divided by s?
15
Suppose -5*i + 2*u = 14, 4*i - u + 12 = -i. Suppose 4*v = 4*d + 2*v - 4, 1 = d - v. What is the remainder when 5 is divided by -1 - -1 - d*i?
1
Let x be -2 + 1 + (-1 - -5). Let n(w) = 4*w**2 - w - 2. Let b(a) = -a**2 + 1. Let u(d) = x*b(d) + n(d). What is the remainder when 7 is divided by u(2)?
1
Suppose -4*l = -5*l - 4*m + 20, -m = 5*l - 5. Suppose 5*j - 9 = 2*j. Suppose l = z - j*z + 54. Calculate the remainder when z is divided by 14.
13
Suppose 14 = 2*a - 4*j - 10, 2*j = 2. Suppose -6*o = o - 189. What is the remainder when o is divided by a?
13
Let w = 25 + -17. What is the remainder when 23 is divided by w?
7
What is the remainder when 37 is divided by (24/(-18))/((-6)/45)?
7
What is the remainder when 2/(-8) - (-282)/8 is divided by (-24)/10*55/(-11)?
11
Suppose -18 = u - 0*u. Let r = u - -48. What is the remainder when r is divided by 16?
14
Let l = -2 - 2. Let h = 6 + l. Suppose -h*x + 2 = 0, j + 0*j - 3*x - 9 = 0. Calculate the remainder when 23 is divided by j.
11
Suppose 30 = -6*z + 3*z. Let b = -5 - z. Calculate the remainder when b is divided by 2.
1
Let j be (10 - 8)/(2/5). Suppose -4*r - 32 = j*x - 126, -4*x = 3*r - 71. Calculate the remainder when r is divided by 11.
10
Let v = -507 + 514. Calculate the remainder when 86/8 - (-2)/8 is divided by v.
4
Let u(x) = 15*x - 7. Calculate the remainder when 178/(-6)*(-9)/3 is divided by u(2).
20
Let y(r) = r**2 - 7*r + 5. Let q be y(6). Let g = -128 + 187. Calculate the remainder when g is divided by 177/9 - q/3.
19
Suppose -18*m - 54 = -20*m. What is the remainder when m is divided by 16?
11
Let t(i) = -2*i**3 - 4*i**2 - 2*i. Let v be t(-2). Let u(y) = -y + 6. Let b = -7 - -9. What is the remainder when b is divided by u(v)?
0
Let t = 0 - 0. Suppose t = -3*h - 2*h - 10. What is the remainder when 0/((-4)/h) + 18 is divided by 5?
3
What is the remainder when 88 is divided by (-1)/2 - 470/(-20)?
19
Suppose 0 = 3*p - 3. Suppose -27 = -2*c - p. What is the remainder when c is divided by 7?
6
Suppose -3*j + 21 = 3*t, 9*j - 11 = -2*t + 4*j. Suppose -6*s + 2*s = 8. What is the remainder when 21/(s*(-6)/8) is divided by t?
6
Let l = 44 + 20. Calculate the remainder when l is divided by 17.
13
Let q = -2 + 8. Suppose 3*g - 140 = -0*n + 2*n, 3*n - q = 0. Let b(o) = -2*o + 47. Calculate the remainder when g is divided by b(15).
14
Let t(u) = u**3 + 9*u**2 - 2*u - 11. Let j be t(-9). Let p = j - -7. What is the remainder when 38 is divided by p?
10
Let r(u) = 2*u**3 - 4*u**2 + 2*u - 2. Let t be r(3). Suppose c - t = 5. Calculate the remainder when c is divided by 15.
12
Let g(y) = 4 + 1 - 2 - 5*y - 1. Let z be g(-4). Suppose -3*n = -n - z. Calculate the remainder when 42 is divided by n.
9
Let j(q) = -8 - q**3 + 7*q - 8 + 10 + 5*q**2. Let n be j(6). Suppose n*u - 45 = -3*u. What is the remainder when u is divided by 4?
3
Let j = -3 - -2. Calculate the remainder when 4/6*3 + j is divided by 1.
0
Suppose -h + 3*v - 15 = v, v = 3*h + 25. Let f = h - -13. Suppose 5*k - 5 = -j + 1, 3*k - 58 = -4*j. Calculate the remainder when j is divided by f.
4
Let j(q) = q**2 + 2*q + 3. Let x(y) = -y**2 - 3*y + 2. Let f be x(-4). What is the remainder when 3 is divided by j(f)?
0
Let f(a) = -a**3 - a + 1. Calculate the remainder when -22*1*-1 + -1 is divided by f(-2).
10
Suppose -40 = -0*a - 4*a. Let f(d) = -d + 1. Let u be f(1). Suppose u*v - 112 = -4*v. What is the remainder when v is divided by a?
8
Let s(u) = -u - 2. Let f be s(-4). Suppose 3*y + 15 = 0, -f*x - 4*y - y = -7. Calculate the remainder when x is divided by 5*2 - -1 - 2.
7
Let v(t) = 2*t - 7. Let p be v(-5). Let c = -10 - p. Calculate the remainder when 34 is divided by c.
6
Suppose -2*h + 11 = -0*h + 3*t, 0 = 4*t - 4. Suppose -3*l + 3*u - 142 = 20, -102 = 2*l + h*u. Let w = -20 - l. Calculate the remainder when w is divided by 12.
9
Let c = -44 - -130. What is the remainder when c is divided by 31?
24
Let x(w) = w**2 + 4*w - 9. Suppose 8 + 24 = 4*y. Calculate the remainder when x(-8) is divided by y.
7
Suppose -2*y - 2*y = 3*m - 11, -7 = -2*y - m. Suppose 34 = y*c + 4. What is the remainder when c is divided by 3?
0
Let k(d) = 3*d**2. Let m be k(-1). Calculate the remainder when 2*39/18*m is divided by 5.
3
Let l = 44 + -16. Let p be 2/(-6) + 2/(-3). What is the remainder when l is divided by p + 10 - (1 - 2)?
8
Suppose -2*i - f + 36 = -3*f, -i = -4*f - 18. Calculate the remainder when 89 is divided by i.
17
Let z = -2 - -1. What is the remainder when 70/(2*z)*-1 is divided by 11 - -2*3/6?
11
Let i(m) = m**3 - 6*m**2 + 16*m - 4. What is the remainder when i(5) is divided by 13?
12
Suppose 0 = -4*t - 4*g - 52 + 136, -3*t + 67 = 5*g. Calculate the remainder when t is divided by 5.
4
Let d = 124 + -85. What is the remainder when d is divided by 6?
3
Suppose 2*o - 2*r + 9 = 73, 2*o + r - 49 = 0. What is the remainder when o is divided by 10?
7
Let l(j) = 10*j - 2. Let u be l(5). Suppose -2*p - 2*