culate the remainder when 31 is divided by k.
15
Let o = -17 + 59. Calculate the remainder when o is divided by 4 - ((-10)/(-5) - 13).
12
Suppose 123 = 4*t - 89. What is the remainder when t is divided by 14?
11
Let z(w) = 4*w - 10. What is the remainder when z(13) is divided by 23?
19
Let a be 5 + (5 - 2) + -2. Let p(t) = -t**2 + 16*t - 19. Let m be p(14). Let u = m - a. What is the remainder when 7 is divided by u?
1
Let y = 28 + -16. Suppose -y*w = -10*w - 18. What is the remainder when 35 is divided by w?
8
Let q = 127 + 50. What is the remainder when q is divided by 36?
33
Suppose 0*v + 3*v - 108 = 0. What is the remainder when v is divided by 13?
10
Let c = 69 - 49. Let g(n) = n**3 - 5*n**2 - 4*n - 5. What is the remainder when c is divided by g(6)?
6
Suppose g - 4*g = 18. Let h(y) = -10*y + 6. Let v be h(g). Suppose 4*f - 56 - 62 = -l, -3*l = -2*f + v. What is the remainder when f is divided by 8?
6
Suppose -m = z - 8 - 3, -3*m = -4*z - 68. Calculate the remainder when 108 is divided by m.
12
Let r(k) = k + 13. Let c = -6 - -14. What is the remainder when r(15) is divided by c?
4
Suppose 3*l = 4*n + 57, -n - 39 = -2*l + 2*n. What is the remainder when 269 is divided by l?
14
Let t be 15*(-1 + 26/10). Suppose 5*w - 1 = t. What is the remainder when 14 is divided by w?
4
Suppose r - z - 34 = 0, -6*r + 72 = -3*r + 3*z. Calculate the remainder when 112 is divided by r.
25
Let i(m) = -3*m + 5*m + 3*m + 2*m. What is the remainder when i(7) is divided by 13?
10
Suppose -5*d + 202 = 2*w, -113 = -2*w + 4*d + 53. What is the remainder when w is divided by 48?
43
Suppose 0 = -2*b + 6 + 14. Let g = 40 - 3. Suppose -y - 3*l + g = 0, 78 = 3*y - 0*y - 2*l. What is the remainder when y is divided by b?
8
Let z(t) = 4*t + 1. Suppose 3*q + q - 4 = 0. What is the remainder when z(q) is divided by -2 + 1/(-1)*-5?
2
Let g = 29 - 5. Let c = -13 + g. What is the remainder when 43 is divided by c?
10
Suppose -3*f = -a + 15, -f - 1 = 2. What is the remainder when 12/9*(-33)/(-2) is divided by a?
4
Let d(f) = -6*f + 338. Suppose -2*x - 20 = -2*p, 5*p + x + x = 22. What is the remainder when d(53) is divided by p?
2
Suppose 31 - 7 = 3*p. Calculate the remainder when 38 is divided by (15/(-2))/((-6)/p).
8
Let m(q) = -8*q + 5. Let i be m(-5). Suppose 0 = 3*v + 2*o - i, 4*v - 3*v = o + 10. Calculate the remainder when v is divided by 8.
5
Let x(q) = q**3 - 8*q**2 + 9. Calculate the remainder when 17 is divided by x(8).
8
Suppose z - 116 = -5*i, -5*z - 2*i - i + 580 = 0. What is the remainder when z is divided by 30?
26
Suppose 0 = -59*g + 60*g - 11. Calculate the remainder when 43 is divided by g.
10
Let l be (-1)/4 + (-249)/12. Let t be (2 + 0)/((-2)/l). Suppose 84 = 3*n + t. Calculate the remainder when n is divided by 11.
10
Let k be (-10)/(-4)*(3 + -1). Let u = k - -3. What is the remainder when (-9)/(-18)*1*46 is divided by u?
7
Calculate the remainder when 23 is divided by (0 + -5)*(-104)/65.
7
Suppose 0 = 2*d - j - 56, -75 = -3*d - 5*j + 2*j. Suppose 2*k = -2*k - 12, q + 2*k - 4 = 0. What is the remainder when d is divided by q?
7
Let q(p) = -5*p - 13. Calculate the remainder when 30 is divided by q(-6).
13
What is the remainder when (-15)/3 + 2 - (-2 + -231) is divided by 29?
27
Suppose 35 + 22 = 3*m. Let v = m + -9. Calculate the remainder when 17 is divided by v.
7
Let s be (2 + 0)/((-8)/(-36)). Let d = 19 - s. Calculate the remainder when 29 is divided by d.
9
Let t(y) = -y**3 + 9*y**2 + 9*y + 18. Calculate the remainder when t(9) is divided by 17.
14
Let l(o) = -o + 7. What is the remainder when 7 is divided by l(2)?
2
Suppose -5*v + 229 + 11 = 0. Suppose -5*q + v = -72. What is the remainder when q is divided by 9?
6
What is the remainder when 6*(1 + -2)*25/(-2) is divided by 19?
18
Let l(k) = 5*k**2 - 1. Let z be l(1). Suppose 4*w - 4*b = 100, w = -w - z*b + 80. Calculate the remainder when w is divided by 16.
14
Let o(h) = 2*h - 7. Let f be o(5). Suppose 2*t + f*t - 50 = 0. Calculate the remainder when 18 is divided by t.
8
Suppose w - 2*w + 5*q = 7, -2*q = -3*w + 18. Suppose -3*h - 2 - 8 = -5*i, 4*i = -4*h - 56. Calculate the remainder when ((-44)/h)/((-2)/(-10)) is divided by w.
6
Let r = 24 + -12. Suppose 3*h - 12 = 3*g, g = -5*h - 3*g - 7. Calculate the remainder when (-4)/(45/51 - h) is divided by r.
10
Suppose 2*b + 44 = 4*l + 4, -l = -5*b - 10. Calculate the remainder when 17 is divided by l.
7
What is the remainder when ((-7)/2 + 4)*212 is divided by 27?
25
Suppose -n = -0*n - 3*o + 3, 5*o = -5*n + 65. Calculate the remainder when (7296/54)/4 + (-2)/(-9) is divided by n.
7
Suppose -4*s = -3*s - 15. Calculate the remainder when s is divided by 2/8 - (-31)/4.
7
Let d = 15 + -12. Calculate the remainder when 4 is divided by d.
1
Let y be 3/(14/8 - 1). Suppose -u - y*u + 35 = 0. What is the remainder when u is divided by ((-3)/1)/((-3)/4)?
3
Suppose -4*n = 2*n - 222. What is the remainder when n is divided by 13?
11
Suppose 17 = -5*x + 92. What is the remainder when 57 is divided by x?
12
Let x(n) = 8*n**2 + 4*n - 5. Calculate the remainder when 102 is divided by x(1).
4
Suppose 11 = 3*m - 4. Let k = 34 - -8. Suppose 48 = 4*v - 4*l, -l = v + 4*v - k. Calculate the remainder when v is divided by m.
4
Suppose -1 = 3*x + 5. Let d be x*((-3)/(-6))/(-1). Let z(t) = 9*t. Calculate the remainder when 17 is divided by z(d).
8
Suppose 28 = 4*j + 4*d, 2*j - 2*d + 6*d - 20 = 0. Calculate the remainder when 0 + j*2*1 is divided by 5.
3
Suppose 0 = m - 3*a - 8, -4*m - m + a + 26 = 0. Suppose -m*h + 3*h = -124. What is the remainder when h is divided by 16?
14
Suppose 0 = -5*r - 10, -2*n - 3*r = -n. Suppose 3*o + 3*u + 21 = 57, -2*u - 8 = 0. What is the remainder when o is divided by n?
4
Let a(n) = -7*n - 6. What is the remainder when 105 is divided by a(-4)?
17
Let x = 6 + -2. Calculate the remainder when ((-4)/6)/(2/(-30)) is divided by x.
2
Suppose 2*f + 9 = 55. Calculate the remainder when f is divided by 9.
5
Let b = 29 - 21. Suppose -2*v + 0*l - 4*l + 22 = 0, 4*v - 8 = 4*l. Suppose 14 + 96 = v*h. Calculate the remainder when h is divided by b.
6
Let z(y) = 2*y**2 + 7*y + 19. Let g(k) = k**2 + 4*k + 9. Let c(l) = 9*g(l) - 4*z(l). Let r = -20 + 29. Calculate the remainder when r is divided by c(-8).
4
Suppose -2*p = -0*p + 8. Let b be p/8*(-7 - 1). Suppose 4 = r - 5*r, 3*r = b*t - 87. What is the remainder when t is divided by 8?
5
Let t = -85 + 103. Let n = -65 - -116. Calculate the remainder when n is divided by t.
15
Let f(k) = -k**2 - 8*k - 7. Suppose 2*b - 3*z + 28 = 0, 0 = b + 5*z - 3 - 9. Let l be f(b). Let p = l - -11. Calculate the remainder when 14 is divided by p.
2
Let j(i) = i - 2. Let b be j(2). Suppose 0 = 2*h - b*h. Suppose h*g = -g + 2. What is the remainder when 2 is divided by g?
0
Suppose -5*p - 21 + 6 = 5*k, k = p + 7. Let b(m) = m**2 - 10*m - 8. Calculate the remainder when b(12) is divided by 1/(-1) - -5*k.
7
Let v(d) = -d**3 + 6*d**2 + d + 6. Let c be v(6). Suppose -4*a + 5*a - 20 = 0. What is the remainder when a is divided by (44/c)/((-3)/(-9))?
9
Suppose 8 = -4*m + 124. Suppose 4*v - 10 = 3*v. Calculate the remainder when m is divided by v.
9
Suppose 13*h = 207 + 651. Calculate the remainder when h is divided by 23.
20
Let c = -3 + 6. Let v be 1 + 8 + -2 - c. Suppose -5*a + 105 = 5*f, f - a - 27 = v*a. What is the remainder when f is divided by 8?
6
Suppose -2*w + 2 = o, 3*w - 2*w - 4 = -o. What is the remainder when 16 is divided by o?
4
Suppose 3*v + 0*v - 22 = 5*g, 4*g = 16. Let u(x) be the second derivative of -x**5/4 + x**3/6 + x**2 - 2*x. What is the remainder when u(-2) is divided by v?
12
Suppose -6*m + m = -15. Suppose 3*g - 5*q - 15 - 4 = 0, m*q = -2*g + 38. Calculate the remainder when 50 is divided by g.
11
Suppose -2*b + f = -32, -f - 62 = -3*b + 4*f. What is the remainder when b is divided by 6?
2
Let a = -12 - -24. Let p be 3/9 + 616/6. Suppose 11 = -4*w + p. What is the remainder when w is divided by a?
11
Let w = -1 - -55. Suppose 41 + 1 = 3*t. Calculate the remainder when w is divided by t.
12
Let l(m) = m + 3. Let d be l(-6). What is the remainder when 3 is divided by (-6)/(-9) + (-1)/d?
0
Let n = 87 - 64. Calculate the remainder when 63 is divided by n.
17
Let i(o) = o**2 - 6*o - 6. Let g be i(6). Suppose