the remainder when 187/55 + 4/(-10) is divided by (-1)/((-2)/1)*n?
0
Let y(n) = -n**3 + 7*n**2 + n - 2. Let u be y(7). Suppose 3*m + 2*m = -u*f + 185, 0 = -5*f - m + 165. What is the remainder when f is divided by 17?
15
Suppose 3*s - 234 = -4*j, -j = -4*j - s + 178. What is the remainder when j is divided by (-164)/(-8) - 2/(-4)?
18
Suppose -s - q = -8, 2*s + 3*q = 3*s - 24. Suppose 2*m = i + 43, m - 20 = 3*i - 1. Calculate the remainder when m is divided by s.
10
Suppose 0 = -26*y + 24*y + 20. What is the remainder when 158 is divided by y?
8
Suppose u = 4*u - 6. Suppose u*p + p - 156 = -h, p + 5*h = 52. Calculate the remainder when p is divided by 18.
16
Suppose -7*o + 15 = -2*o. Suppose -o*f = -f - 22. Calculate the remainder when 21 is divided by f.
10
Let k(l) = -48*l**3 + 3*l**2 - 7*l + 2. Let f(h) = 24*h**3 - 2*h**2 + 4*h - 1. Let n(c) = -5*f(c) - 3*k(c). Calculate the remainder when n(1) is divided by 13.
12
Let y = 1 - 6. Let a = -2 - y. Suppose 0 = 5*c + 4*n - 14, -5*c - n + a + 8 = 0. Calculate the remainder when 3 is divided by c.
1
Let r = 76 + 55. What is the remainder when r is divided by 11?
10
Suppose h - 14 = -3*m + 2*h, 5*m + 3*h = 0. Let u = 1 - -11. Suppose -s = 5*f - u, 3*s + m*f - 2*f - 8 = 0. What is the remainder when s is divided by 1?
0
Let a = 16 - -37. Calculate the remainder when a is divided by 27.
26
Let a(k) = -2*k - 7. What is the remainder when a(-19) is divided by 4?
3
Let s be ((-4)/(-6))/(6/207). Suppose -3*t - 5*i + s + 29 = 0, 3*t = 3*i + 60. Calculate the remainder when t is divided by 7.
5
Let b = -11 - -36. What is the remainder when 15 is divided by (b + -1)*9/27?
7
Suppose -3*u + 32 = -u. Calculate the remainder when u is divided by 13.
3
Suppose 10 = -b - 4*u - 4, 0 = 2*u. Let w = b + 36. Calculate the remainder when w is divided by (-6 + 0)*(0 + -2).
10
Let u = 9 + -17. Let l = u - -77. Let v = 136 - l. What is the remainder when v is divided by 23?
21
Let l(n) = -7*n - 1. Let q be l(-1). Let t = -9 + q. Let a = 24 + t. What is the remainder when a is divided by 11?
10
Suppose 3*t - 2*t + 9 = 0. What is the remainder when 2 is divided by (t/(-6) - 1)*4?
0
Suppose -4*g - 3*m + 82 = -202, 2*g = 4*m + 142. Suppose 5*r = -y + g, -r - y + 1 = -14. Calculate the remainder when r is divided by 8.
6
Let m = 6 + 8. What is the remainder when m is divided by 8?
6
Let v(a) = 4*a - 21. What is the remainder when v(13) is divided by 9?
4
Suppose 4*v + 2 = -4*w - 6, 9 = -3*w. Calculate the remainder when 31 + v + 12/4 is divided by 18.
17
Suppose -30 = -5*z + 30. What is the remainder when z is divided by 4?
0
Let m(k) = -50*k**2 + k. Let a be (-4)/10 + 24/10. Let l be m(a). Calculate the remainder when 20/(-6)*l/15 is divided by 15.
14
Suppose -n - 167 = -4*m, 0 = 3*n - 3. Calculate the remainder when m is divided by (-2)/(-4) - 21/(-2).
9
Suppose -2*k + 28 = 14*z - 12*z, 4*z - 32 = 4*k. Calculate the remainder when 97 is divided by z.
9
Suppose 0 = 4*a + 4 - 28. Let r be (4 - 1)*(-1 + 0). Let n = a + r. Calculate the remainder when 4 is divided by n.
1
Let d be (-32)/(-14) - 18/63. Suppose a + 6 = -d*s + 45, -5*s = -2*a + 96. Calculate the remainder when a is divided by 11.
10
Let i(u) = u**2 + 6*u + 2. Let s(v) = -v + 10. Let q be s(6). Suppose -3*w + 2 + q = 0. What is the remainder when i(-6) is divided by w?
0
What is the remainder when 70 is divided by (10 + 2)*18/6?
34
Suppose 0 = -h + 3*b - 6, -2*b + 2 + 2 = 0. Suppose h = 2*f + 3 - 5. Suppose 10 = c + f. Calculate the remainder when 25 is divided by c.
7
Suppose -n + 0*v = v - 59, -2*n - 4*v = -108. What is the remainder when n is divided by 33?
31
Let p(z) = -z - 1. Let r(u) = u**3 + 8*u**2 + 5*u - 5. What is the remainder when r(-7) is divided by p(-4)?
0
Suppose 5*k = 4*h + 17, -4*h + 9*h = 10. Suppose 0 = -n + d, 3*n + k*d - 4*d = 16. Suppose f - 24 = -n. What is the remainder when f is divided by 11?
9
Let t(x) = -x**2. Let f be t(0). Suppose 5*d - 5*r = 2*d + 67, -5*r + 5 = f. Calculate the remainder when d is divided by 5.
4
Let p(j) = 3 + 4 - 2*j - 6 + 3. What is the remainder when p(-4) is divided by 7?
5
Let f = -5 + 28. Calculate the remainder when f is divided by 13.
10
Let x = 18 - 15. Let r = -1 + 4. Calculate the remainder when x is divided by r.
0
Let d = 13 - -13. Calculate the remainder when d is divided by 9.
8
Let d(q) = -q**3 + 6*q**2 - 6*q. Let p(f) = 2*f**2 + 17*f - 1. Calculate the remainder when p(-10) is divided by d(4).
5
Suppose 2*k + 4*h = 6, 3*k - 2*k + 9 = -5*h. Calculate the remainder when 76 is divided by k.
10
Let m(g) = -20*g. Let n(y) = -60*y - 1. What is the remainder when n(-1) is divided by m(-1)?
19
Calculate the remainder when 20 is divided by (-3 - -1) + 7 + 2.
6
Let r = 55 + -33. Calculate the remainder when 84 is divided by r.
18
Let q(w) = -7*w**3 + 11*w**2 - 21*w - 6. Let a(o) = 3*o**3 - 6*o**2 + 10*o + 3. Let b(j) = -5*a(j) - 2*q(j). What is the remainder when 61 is divided by b(6)?
19
Suppose -2*b + m + 8 = 0, 16 - 6 = -b - 3*m. What is the remainder when 4 is divided by b?
0
Let l = 248 + -245. Let k be -9*-1*2/3. Suppose 5*n + 5*i + k = 4*n, -2*i = 2*n - 4. Calculate the remainder when n is divided by l.
1
Let v = 181 + -120. What is the remainder when v is divided by 16?
13
Suppose 43 + 107 = 3*v. Calculate the remainder when v is divided by 13.
11
Suppose -3*p + 32 = -52. Let r = p + -8. Suppose 4*s - 63 = -19. What is the remainder when r is divided by s?
9
Suppose 8 = b + 2*i - 4*i, i = -2. Suppose 28 = 6*y - 2*y + b*f, 5*f - 10 = 0. Suppose -4*u = 11 - 67. Calculate the remainder when u is divided by y.
4
Let b = 4 - 0. Suppose 0*d + 108 = b*n + 3*d, d = 5*n - 135. Calculate the remainder when n is divided by 14.
13
Suppose -z - 2*p + 53 = 0, 96 = 2*z + 5*p - 3*p. What is the remainder when z is divided by 22?
21
Suppose -4*j + 59 + 9 = 0. Calculate the remainder when (-1)/(2/(-98) - 0) is divided by j.
15
Let b be (13/(-1))/(9 + -8). Let g = 13 - b. Calculate the remainder when g is divided by 7.
5
Suppose -7 = -5*d + 18. Let h = -5 + 2. Calculate the remainder when d is divided by (-1)/((-15)/(-6) + h).
1
Let c(u) = u**3 + 6*u**2 + 2. Suppose -f + 3*f - 16 = 0. Let x = f + -6. What is the remainder when c(-6) is divided by x?
0
Let g be (-9)/12 + 188/16. Suppose 4*l = 5*b + 168, 3*b + 1 = -g. What is the remainder when l is divided by 20?
17
Let l be ((-1)/2)/(1/(-4)). Suppose -l*h + 5*c + 36 = 0, 5*h - 63 = -3*c + 2*c. What is the remainder when 22 is divided by h?
9
Suppose 3*r - 4*t + 18 - 64 = 0, -4*t + 14 = 3*r. What is the remainder when 17 is divided by r?
7
Let r be 4 + -34 - (-1 + -2). Let b = 38 + r. What is the remainder when 31 is divided by b?
9
Let x = -15 - -17. Suppose x*n - 12 = -2*k, -15 - 5 = -5*n + 5*k. What is the remainder when 8 is divided by n?
3
Let l = -68 + 79. What is the remainder when 16 is divided by l?
5
Let l(j) = j**2 - 5*j - 3. Let d be (-6 + -30)/((-6)/4). Suppose -p - 3*p = -d. Calculate the remainder when l(p) is divided by 2.
1
Let g = 5 + 9. Calculate the remainder when 53 is divided by g.
11
Let m(s) be the first derivative of -5*s**2/2 - 4*s - 1. Suppose -3*r - 2*r = -20, -3*r = 3*z. Calculate the remainder when m(z) is divided by 9.
7
Let u(g) = 5*g**2 - g - 2. Let x be u(2). Suppose -y - 2 = -x. Calculate the remainder when y is divided by 5.
4
Suppose 11*b = 9*b + 192. Calculate the remainder when b is divided by 25.
21
Suppose 0*d - 2*d - 58 = -5*j, -2*d - 8 = 0. Let i = 18 - j. Calculate the remainder when 22 is divided by i.
6
Suppose y + 0*y - 4*s + 8 = 0, 3*y - 4*s = 0. Suppose 15 = g + 4*q, 0 = -0*g - y*g + 4*q + 20. Calculate the remainder when 19 is divided by g.
5
Suppose 24 = 8*f - 4*f. Suppose -3*p + 21 - f = 0. Calculate the remainder when p is divided by 2.
1
Let c(y) = 2*y**2 + 3*y + 8. What is the remainder when c(-3) is divided by 6?
5
Suppose 8*i - 100 = 3*i. Calculate the remainder when i is divided by 6.
2
Suppose -11 - 2 = -f. Suppose r - 76 = -r. Calculate the remainder when r is divided by f.
12
Suppose -5*s = -s - 88. What is the remainder when 86 is divided by s?
20
Let q = -21 - -62. Suppose 3*k - 2 = -q. Let o = 28 + k. Calculate the remainder when 43 is divided by o.
13
Let a = 85 + -57. Calculate the remainder when 19