 -k + h*s + 16 = 0, -s = -5*k - 2*s + 54. Calculate the remainder when 32 is divided by k.
10
Let y(b) = -b**3 + 7*b**2 + 5*b. What is the remainder when y(7) is divided by 12?
11
Let b be (-30)/8*(-48)/18. Let p be b/((-3)/(3/(-2))). Suppose 5*t - 40 = p. Calculate the remainder when 25 is divided by t.
7
Let f(d) = -d**2 - 10*d + 8. What is the remainder when 71 is divided by f(-8)?
23
Let q(t) = -t**2 - 6*t + 2. Let j be q(-6). Let m be -3*j*(-2)/6. Suppose -m*v = 4*p - 48, 0*p - 30 = -p - 5*v. Calculate the remainder when 29 is divided by p.
9
Let x(c) = -c**3 - 5*c**2 - 4*c - 24. What is the remainder when 251 is divided by x(-6)?
35
Let b = 150 + -120. Suppose 4*m - 13 = 31. What is the remainder when b is divided by m?
8
Suppose 18*n - 272 = 34. What is the remainder when n is divided by 10?
7
Suppose 15 = 3*k, -4*y + 3 = -k - 44. What is the remainder when y is divided by 8?
5
Let t(u) = 4*u**2 - 4*u - 2. Let h be t(2). Suppose -75 = -h*a + a. Calculate the remainder when a is divided by 8.
7
Suppose 3*p - 2 - 2 = -4*a, 4 = 4*p + 5*a. Let r = 4 - p. What is the remainder when r is divided by 5?
3
Let f = 11 - 8. Suppose -d + 0*v - f*v = 4, 40 = 3*d - 4*v. Calculate the remainder when 23 is divided by d.
7
Suppose 10*t + 110 = 15*t. What is the remainder when 59 is divided by t?
15
Suppose 4 = c - 1. Suppose -10 - 5 = -c*q. Calculate the remainder when 10 is divided by q.
1
Suppose 5*r = -3*f - 52, 0*f = 5*r - 4*f + 24. Let t = r - -20. Calculate the remainder when 22 is divided by t.
10
Let w be 74/6 - (-1)/(-3). Suppose -w - 242 = o. Calculate the remainder when 1/4 - o/8 is divided by 11.
10
Let j = -12 + 22. Let z(q) = q**2 - 7*q - 1. Suppose 3*s - 11 - 19 = 0. Calculate the remainder when z(j) is divided by s.
9
Suppose -4*o - 70 + 190 = 0. Suppose 2*h + 6 - o = 0. Calculate the remainder when h is divided by 7.
5
Suppose -3*j - 3 = 0, j - 53 = l - 3*l. Calculate the remainder when 38 is divided by l.
11
Let f(j) = j**3 + 28*j**2 + 28*j + 34. Calculate the remainder when f(-27) is divided by (0/(-3))/3 - -3.
1
Let g be (-1)/((-38)/(-18) + -2). Calculate the remainder when (6/(-2) - g) + -2 is divided by 3.
1
Suppose 54 = 3*j - 15. Let b = j - 16. Let v(w) = -w**2 + 6*w + 8. What is the remainder when v(b) is divided by 1?
0
Let b = 2 - 0. Suppose -b*n - 3 = -33. What is the remainder when 44 is divided by n?
14
Let c = -75 + 153. What is the remainder when c is divided by 20?
18
Let v = 169 + -158. Calculate the remainder when 39 is divided by v.
6
Suppose -3*c = -2*c - 10. Calculate the remainder when 19 is divided by c.
9
Let i(n) = n**2 + n + 2. Let y(b) = -b - 2. What is the remainder when y(-13) is divided by i(-2)?
3
Let l = 3 - 0. What is the remainder when 8 is divided by l?
2
Suppose f = -5*q + 95, 0*f - 80 = -3*q + 4*f. Let p be (-59)/((-4)/(-6) - 1). Suppose 0 = -3*n - 0*n + p. Calculate the remainder when n is divided by q.
19
Let x = 10 + -16. Let y = -6 - x. Suppose m - 35 = -y*m. What is the remainder when m is divided by 9?
8
Let d be (-94)/(-8) - (-12)/(-16). Suppose -d = -x + 13. What is the remainder when 71 is divided by x?
23
Let w be 0 + (3 - 3/3). Suppose -4*v = -r + 14, 2*r - 4*v = -w*r + 32. Suppose 9 = 3*b - r. What is the remainder when 9 is divided by b?
4
Suppose -10 = -2*u - 4. Calculate the remainder when 4 is divided by u.
1
Let z be 1/(-4)*2*-34. Suppose p - z = 2. Suppose -g = -9 + 4. What is the remainder when p is divided by g?
4
Suppose 2*u - 25 = -6*v + v, 2*u = 3*v - 31. Calculate the remainder when 19 is divided by v.
5
Let q(h) = 2*h + 13. Let t be 55/(-3)*(-12)/4. Suppose -4*r = r - t. Calculate the remainder when q(9) is divided by r.
9
Suppose 2*u - 5 = 1. Suppose -2*l = -u*f + 28, -45 = -5*f - l + 6*l. Calculate the remainder when 28 is divided by f.
8
Suppose 0 = -0*a + 5*a - 40. Let k = 20 - a. Suppose -2*u + 0*u + 14 = 0. What is the remainder when k is divided by u?
5
Let q(u) = 12*u. Calculate the remainder when q(3) is divided by -26*(35/10)/(-7).
10
Let s(n) = -n + 2. Let m be s(-3). Suppose -u + 98 = 3*k - m*u, 4*u + 174 = 5*k. What is the remainder when k is divided by 13?
12
Suppose 0 = -5*m - 4*f + 6*f + 56, f = 4*m - 46. What is the remainder when 56 is divided by m?
8
Let h = 34 - -4. What is the remainder when h is divided by (-2)/7 - ((-172)/14 - 1)?
12
Let t(g) = -g. Let s be t(-4). Let r = 4 + s. Suppose 0 = -2*y + 3*v + 29, 0*v - 37 = -y - 3*v. What is the remainder when y is divided by r?
6
Let j(w) = 9*w**2 + 4*w + 2. Calculate the remainder when 41 is divided by j(-1).
6
Let i(j) = -2*j - 16. Suppose -m - 12 = -5*m. Calculate the remainder when i(-13) is divided by m.
1
Suppose -4*g = -4*m, -4*g - m + 22 = 2. Suppose -c = -2*t + 108, g*c + 105 = 3*t - 62. Calculate the remainder when t is divided by (-54)/(-3)*(0 - -1).
17
Let a(l) = -l**2 + 11*l - 11. Calculate the remainder when 110/3 + 2/6 is divided by a(8).
11
What is the remainder when 37 is divided by 13 - (0 + -2 + 2)?
11
Let b(i) = -i. Let w = 1 + 6. Let s(v) = v**3 - 7*v**2 + 2*v - 10. What is the remainder when s(w) is divided by b(-3)?
1
Let s be (-4)/((-16)/148) + 4. Suppose i + 14 = f + 3*i, -3*f - 5*i = -s. Calculate the remainder when 22 is divided by f.
10
Suppose 4*s - 3 = 4*b - 63, 3*s = -b + 31. What is the remainder when b is divided by (-243 - -246) + (1 - 2) + 5?
5
What is the remainder when 34 is divided by 4/(2 - 4) + -38 + 45?
4
Let o(k) = k**3 + 12*k**2 - 2*k - 8. Let p(r) = 3*r**2 - 1. What is the remainder when p(-4) is divided by o(-12)?
15
Let t(s) = s**3 + 7*s**2 - 11*s - 23. Suppose -3*c + 6*c = 0. Suppose c*p + 4*p = 8. What is the remainder when p is divided by t(-8)?
0
Calculate the remainder when (48 - 1) + (7 - 9) is divided by 12.
9
Let p = -19 + 39. Suppose 8*g - 9*g = -6. Calculate the remainder when p is divided by g.
2
Calculate the remainder when 42 is divided by (-2)/(-8) + (-408)/(-32).
3
Let p(s) = 6*s - 3. Suppose -7*a + 137 - 32 = 0. What is the remainder when p(5) is divided by a?
12
Let n = -3 - -6. Suppose n*x = x - 216. Calculate the remainder when 52 is divided by ((-1)/2)/(3/x).
16
Let n be (5 + -2)*8/3. Suppose 0 = -n*p + 3*p - 65. Let w = p + 18. What is the remainder when 14 is divided by w?
4
Let i be 2 - 37 - (-3 - -5). Let q = -21 - i. What is the remainder when 27 is divided by -21*(2 - q/6)?
13
Let p be 0/(2 - (2 + -2)). Let i(s) = s + 4 + 9*s + p*s**2 + 8 + s**2. Calculate the remainder when 7 is divided by i(-9).
1
Suppose 0 = 4*z - 87 + 15. What is the remainder when z is divided by 10?
8
Suppose 0 = -16*x + 14*x + 384. Calculate the remainder when x is divided by 65.
62
Suppose 3 = 5*t - 22. Suppose t*g - 42 = 88. What is the remainder when g is divided by -42*(1/6)/((-1)/2)?
12
Suppose z = i - 45, 0 = 6*i - i - 2*z - 231. What is the remainder when i is divided by 12?
11
Suppose 5*q = 4*h - 19, -53 = h - 4*h - 4*q. Calculate the remainder when 26 is divided by h.
4
Suppose -6 = -2*u + 3*i, 0 = 3*u - 3*i - 6 - 3. Suppose -t + 112 = u*t. Let h(p) = p**3 + 7*p**2 + 4*p - 2. Calculate the remainder when t is divided by h(-6).
8
Let x = 76 - 42. Calculate the remainder when x is divided by 14.
6
Suppose 5*m = 3 + 17. What is the remainder when 27 is divided by m?
3
Let g = -1 + 9. Let i(w) = w**2 - 8*w + 5. Calculate the remainder when i(9) is divided by g.
6
Suppose 4*v + 4*k - 8*k = 36, 5*v + 3*k - 29 = 0. Let m(i) = -i + 9. Let o be m(v). Suppose o*y = -y + 3. What is the remainder when y is divided by 1?
0
Let h = -15 + 36. What is the remainder when 83 is divided by h?
20
Suppose k - 16 = 1. Let p(d) = d**3 + d + 4. Let n be p(0). Suppose -5*o + 15 = 0, -4*m - n = -6*m + 2*o. What is the remainder when k is divided by m?
2
Suppose -4*l - 4 + 12 = 0. Suppose l*h - 7*h = -20. What is the remainder when 14 is divided by h?
2
Let b(o) = -o**2 - o + 19. Suppose 0 = u - 6*u. Calculate the remainder when b(u) is divided by 11.
8
Suppose 0 = w - 5*w + 4. Calculate the remainder when (w - 0)*19/1 is divided by (-3 + 10)*(-2)/(-2).
5
Let s be ((-24)/(-18))/((-6)/(-207)). Suppose s = -3*p + 5*p. Calculate the remainder when p is divided by 13.
10
Let w = 2 + 2. Suppose -2*q - 4 = -0*q, -3*q = -w*s + 62. Calculate the remainder when s is divided by 5.
4
Let