 -53. What is the remainder when 27 is divided by t?
6
Suppose 3*x + 30 = 4*c - 0*x, 4 = c + x. Calculate the remainder when c is divided by 5.
1
Suppose 2 = -3*y + 4*c - 0*c, 4*y = 4*c + 4. Suppose n - 16 = -m, 3*m - n = -m + 64. Calculate the remainder when m is divided by y.
4
Suppose -5*k = -6*x + 9*x - 34, 4*k - 2*x = 14. Let n(q) be the first derivative of -q**3/3 + 4*q**2 - 2*q + 1. What is the remainder when n(5) is divided by k?
3
Let y(l) = 3*l**2 + 4*l + 2. Let a be y(-3). Let h = a - 0. Suppose 9*b = 7*b + 98. What is the remainder when b is divided by h?
15
Suppose 3*m + 15 = -v + 89, m = 2*v + 34. Calculate the remainder when 77 is divided by m.
25
Let n = 61 + -59. Suppose b - 2 = -3*d + 5, -b = d - 3. What is the remainder when n is divided by b?
0
Suppose -q - 2 = 4. Let a = q - -5. What is the remainder when 26 + (a - -3 - 5) is divided by 13?
10
Suppose -5*j - 2*l = -547, -l + 371 + 69 = 4*j. Calculate the remainder when j is divided by 28.
27
Suppose -3*s - 99 - 9 = 0. Let l = 52 + s. Let j = 8 - 2. Calculate the remainder when l is divided by j.
4
Let j = 3 - 8. Let g(s) = -s - 2. Let l be g(j). Calculate the remainder when -146*(6/(-4))/l is divided by 25.
23
Suppose -5*y = -9*d + 4*d + 195, 0 = 4*d + y - 136. Calculate the remainder when d is divided by 13.
9
Let j(h) = 6*h**2 + 2*h. Calculate the remainder when j(-2) is divided by 1 + -3 + 4 - -5.
6
Suppose 5*i = -y - y + 35, 3*i - 15 = 0. Suppose 6*g - 7 = y*g. What is the remainder when 12 is divided by g?
5
Let a(g) = 3*g - 5. Let v be a(4). Suppose 0 = l + 163 - v. Calculate the remainder when 23 is divided by l/(-20) + (-2)/(-10).
7
Let l be (3/(-6))/(1/(-174)). Let v = -132 - -194. Let h = l - v. Calculate the remainder when h is divided by 13.
12
Let t = -18 - -25. What is the remainder when t is divided by (16/(-10))/(6/(-15))?
3
Suppose k + 14 = 45. What is the remainder when 59 is divided by k?
28
Let c = -60 - -147. What is the remainder when c is divided by 30?
27
Let l = -1 - -4. Suppose -l*v + 8 = -f - 9, 4*f = -4*v + 12. What is the remainder when 9 is divided by v?
4
Suppose 2*f - f = 17. Let q = -8 - -30. What is the remainder when -4*1*(1 - f) is divided by q?
20
Let d = -104 + 53. Let f = 90 + d. Calculate the remainder when f is divided by 10.
9
Suppose -11 = 3*n + 1. Let r = 6 + n. What is the remainder when 4 is divided by (1 + 0)*(1 + r)?
1
Suppose 0 = 3*u + 4*v - 17, 0*u - 2*u - 4*v + 14 = 0. Let w be (1/(-3))/((-1)/(-15)). Let h = -1 - w. Calculate the remainder when h is divided by u.
1
Suppose -3*u = -153 + 48. Let b = 58 - u. Calculate the remainder when b is divided by 12.
11
Let b(f) = f - 1. Let r(j) = 11*j + 2. Let g(c) = 5*b(c) - r(c). Let l be g(-9). Suppose -17 = 2*y - l. Calculate the remainder when y is divided by 6.
3
Let y(o) = -7*o - 20. Calculate the remainder when 28 is divided by y(-5).
13
Suppose 2*q + 680 + 57 = 5*w, 3*w - 451 = -q. What is the remainder when w is divided by 19?
16
Let a(l) = 6*l - 21. What is the remainder when 44 is divided by a(6)?
14
Let d = 69 + -53. Calculate the remainder when d is divided by 5.
1
Suppose 0 = -6*u - u + 133. Calculate the remainder when 92 is divided by u.
16
Suppose 4*o + 128 = 4*s, 0 = 2*s - 4*o - 22 - 40. Suppose 0 = -w - 7 + s. Calculate the remainder when 51 is divided by w.
25
Calculate the remainder when (-257)/(-6) - (-5)/30 is divided by 9.
7
Let l be ((-6)/(-4))/(3/8). Suppose 5*i - l*i - 4 = 0. Calculate the remainder when 9 is divided by i.
1
Suppose -n + 73 = g + 4*n, -2*g - n = -146. What is the remainder when g is divided by 19?
16
Let d(j) = j**3 - 5*j**2 + 2*j + 3. Let b be d(3). Let h = b + 16. Calculate the remainder when 27 is divided by h.
6
Suppose 0 = y + 3*y - 84. Suppose -18*w = -15*w - 180. Calculate the remainder when w is divided by y.
18
Suppose 2*g + 0*d - d = 57, -5*d + 79 = 3*g. Suppose -2*m - 4 = 0, 0 = 2*i - 0*m + 3*m - g. Calculate the remainder when i is divided by 5.
2
Let k(x) = -x**2 - 11*x - 12. Calculate the remainder when 31 is divided by k(-8).
7
Suppose -m + 157 = 2*c, -2*c - 3*m - 82 = -3*c. Calculate the remainder when c is divided by 41.
38
Suppose 4*q - 4*o = q + 20, -3*o - 14 = -2*q. Suppose 0*y + 36 = q*y + 4*v, 0 = y - 5*v + 9. Calculate the remainder when (-4)/(-6) - (-80)/y is divided by 8.
6
Let h = -155 + 165. What is the remainder when 27 is divided by h?
7
Let q be 2 - (-8 + 0) - 1. Let i = -4 + q. Let c(a) = -a**3 + 5*a**2 + a. What is the remainder when 9 is divided by c(i)?
4
Let k(u) = 9*u**2 - 2*u + 3. Let m = -6 - 11. Let z = m - -34. What is the remainder when z is divided by k(1)?
7
Let d(u) = -u**2 - 3*u + 4. Let k be d(-5). Let h = 1 - k. What is the remainder when h is divided by 4?
3
What is the remainder when 135 is divided by -3 - (-495)/10 - (-3)/(-6)?
43
Suppose -7*c + 785 = -90. What is the remainder when c is divided by 18?
17
Let f(k) = -k**2 + 10*k - 12. Let u be f(8). Let w(x) = 3*x + 3. Calculate the remainder when 28 is divided by w(u).
13
Let b(h) = h**3 - 2*h + 1. Let x be b(2). Suppose -x*s + 4*s = -2. Calculate the remainder when (19/(-3))/(s/(-6)) is divided by 7.
5
Let n = 53 - 42. Calculate the remainder when n is divided by 4.
3
Let a(m) = m**2 + 11*m - 39. What is the remainder when a(-14) is divided by 1?
0
Suppose 35 = -5*y - 2*h + 196, 5*y + h = 163. What is the remainder when y is divided by 20?
13
Let c(o) = -o**2 - 6*o - 3. Let p be c(-5). Suppose -a + p = 6. Let q(l) = l**3 + 6*l**2 + 4*l - 3. Calculate the remainder when 24 is divided by q(a).
11
Let j(a) = -a**3 + 8*a**2 + 2*a - 9. Let v be j(9). Let z = 113 + v. What is the remainder when z is divided by 14?
13
Suppose -37 + 14 = -f. Let t(n) = 4*n. Calculate the remainder when f is divided by t(2).
7
Suppose 3*d - 2*d = -10. Let x = d - -14. Suppose 3*w + 0*f - 33 = 4*f, -4*f - 22 = -2*w. Calculate the remainder when w is divided by x.
3
What is the remainder when 3 + ((-4)/18 - 38/(-171)) is divided by 2?
1
Let t(l) = l**2 - 6*l - 10. Calculate the remainder when t(11) is divided by 13.
6
Let z = 128 + -34. Suppose 0 = 4*q + 2*n - z, 0*q + q - 26 = -n. What is the remainder when q is divided by 8?
5
Let c be 22/99 + 320/18 - 2. Let z = 16 + -22. Let o = c + z. What is the remainder when o is divided by 3?
1
Let t = -13 - -13. Calculate the remainder when (t - (-3)/6)*36 is divided by 4.
2
Suppose 0 = -7*z + 10*z - 48. Suppose 0*x = -5*g - x + 229, -x = 2*g - 91. Calculate the remainder when g is divided by z.
14
Let y = -12 + 30. Suppose 2*g + 2*g = 136. Calculate the remainder when g is divided by y.
16
Suppose -4*g + 83 = -3*a + 24, -4*g = -4*a - 60. What is the remainder when 34 is divided by g?
6
Suppose 3*w = -w + 20. Suppose -w*l = -7 + 77. Calculate the remainder when 6/21 - 486/l is divided by 19.
16
Let f(m) = 6*m**2 - 2*m - 1. Let l be f(-1). Let k = l - -6. What is the remainder when 49 is divided by k?
10
Suppose -5*h + 18 = 3. Suppose 2*m = h*k - 2, -3*m + 0 = -6. Suppose 55 = 4*u - 5*j, -k*j - j = -u + 19. What is the remainder when 28 is divided by u?
8
Suppose j = -4*j + 15. Suppose 0 = j*m + 3 - 33. What is the remainder when m is divided by 6?
4
Let x = 8 - -17. Let i = x + -18. What is the remainder when 11 is divided by i?
4
Suppose -4*u - 5*l + 24 = 0, -7*l = -3*u - 4*l - 9. Let p be (-13 - (0 - u)) + -2. Let s = 5 - p. What is the remainder when s is divided by 7?
5
Suppose d - 2*d - 5*i = -9, 3*i - 67 = -5*d. What is the remainder when d is divided by 11?
3
Let f = -9 - -18. Calculate the remainder when 31 is divided by f.
4
Suppose 3*v - 3*g - 6 = 0, -v + 2*g + 12 = 3*g. Suppose 2*n - v*n = -35. What is the remainder when n is divided by 2/(1/2 + 0)?
3
Suppose r - 6 = -2*d, -4*r - r + 3*d + 95 = 0. Let x = 23 - r. What is the remainder when 15 - 4 - (3 + -2 - 3) is divided by x?
6
Let w(t) = -2*t - 10. Suppose -4*j + 0*j = -32. Suppose 0 = -2*k - 4*o + 16, k - j*o + 4*o + 10 = 0. Calculate the remainder when w(-7) is divided by k.
0
Let d(t) = t**2 - t + 2. Let f be d(0). Suppose 0 = 2*a - a + 2*y + 4, 0 = f*a - y - 17. What is the remainder when (2*2*-2)/((-18)/36) is divided by a?
4
Suppose 3*q - 30 + 0 = 0. Suppose 0 = 4*a - 3*a - q. Calculate the remainder when 18 is divided by a.
8
What is the remainder