3*a. Let v be z(-2). Suppose -4*t = 42 - v. Calculate the remainder when t is divided by 13.
10
Suppose 3*z - 20 = -2*z. Calculate the remainder when 9 is divided by z.
1
Let z = 511 + -288. What is the remainder when (-1)/6 - z/(-6) is divided by 10?
7
Suppose 3*f + 4 + 11 = 0. Suppose -4*i + 0*q - 3*q + 44 = 0, -3*q = -5*i + 55. Let s = i - f. Calculate the remainder when s is divided by 9.
7
Let g(o) = o**3 + o**2 - 2. Let i be g(3). Let w = i - 18. Let a = 17 - 8. Calculate the remainder when w is divided by a.
7
Let i = -55 - -94. What is the remainder when i is divided by 4?
3
Suppose 6*c = 2*c + 4*w + 80, -c + 10 = w. What is the remainder when 27 is divided by c?
12
Suppose -2*i = -10, -3*z + 0*i + 142 = 2*i. Suppose 4*o + 65 = 3*u, -7 = -u - 2*o - 2. Calculate the remainder when z is divided by u.
14
Let u(n) = n**3 - n**2 - 2*n - 4. Suppose 0 = -2*z - 3*z + 15. Calculate the remainder when (-9)/z*(-69)/9 is divided by u(3).
7
Let x = -69 + 100. Suppose -i + 5 = 26. Let y = i + 32. What is the remainder when x is divided by y?
9
Let d = -123 + 172. Suppose 0 = 3*q - 5*w - 132, -4*w + d = 3*q - 56. What is the remainder when q is divided by 14?
11
Suppose -36 = -2*g + 22. Suppose -5*a + 3*p = -221, -3*a + 170 = a + p. Let y = a - g. What is the remainder when y is divided by 8?
6
Suppose -i + 4 - 2 = 0. Let p = -4 + i. Let l = p - -12. Calculate the remainder when 19 is divided by l.
9
Suppose 0 = 3*z + 2*d - 281 - 83, 3*z = 3*d + 339. What is the remainder when z is divided by 24?
22
Suppose x - 65 = 3*w, 12*x + 2*w + 66 = 13*x. Calculate the remainder when x is divided by 39.
29
Suppose -3*s + 2 = -2*s. Suppose -2*w - d - 3*d = -40, s*w + 3*d = 39. What is the remainder when w is divided by 5?
3
Suppose 0 = 3*m - 2*m - 5*l + 20, 5*l = -m + 20. Let x(s) = -5*s - 4*s - 6*s + 8 + 14*s. Calculate the remainder when 22 is divided by x(m).
6
Let l = 13 + 1. Calculate the remainder when l is divided by 5.
4
Let z(f) = -13*f - 3. Suppose -6*c = -2*c + 4*o + 20, -2*o = 3*c + 15. Let n be z(c). Suppose 4*x - n = 2*x. Calculate the remainder when x is divided by 11.
9
Let w be (-26)/7 - (-4)/(-14). What is the remainder when 43 is divided by -1 + w + 2 - -25?
21
Let j = -42 + 59. Let y = j + -10. Suppose 3*o - 12 + 3 = 0. What is the remainder when y is divided by o?
1
Suppose -2*r + 30 = 2*q, -q = r + 4*r - 11. What is the remainder when 29 is divided by q?
13
Suppose 0 = 8*h - 16*h + 240. Calculate the remainder when 56 is divided by h.
26
Suppose -1 + 4 = -r, 4*b - 23 = r. Suppose 2*z - 8 = -0*z. Suppose b*x = -v + 35, 3*v = x + z*x - 55. Calculate the remainder when 22 is divided by x.
6
Let q = 8 - 3. Suppose -3 = n, 5*n = -3*l + 6 + 3. What is the remainder when l is divided by q?
3
Let b(n) = 2*n**2 + 7*n - 2. Let z = 1 - -4. What is the remainder when b(-5) is divided by z?
3
Let r be ((-2)/(-3))/(-1)*-3. Suppose r*n - n + 7 = 0. Let x = 29 + n. Calculate the remainder when x is divided by 8.
6
Let h(z) = z**3 + 2*z + 1 - 4*z**2 + 2 - z**2. Let p(n) = 37*n**2. What is the remainder when p(-1) is divided by h(5)?
11
Suppose -2*r + 3*r = 5*x + 429, 3*x = 5*r - 2189. Calculate the remainder when (-4)/(-18) + r/9 is divided by 25.
24
What is the remainder when 14/4*(1 + 198/42) is divided by 11?
9
Let g = -3 - -17. Calculate the remainder when 23 is divided by g.
9
Suppose -2*n + 8 = -0*n. What is the remainder when 1/(3*3/54) is divided by n?
2
Let m(h) be the first derivative of 5*h - 1/2*h**2 - 3. What is the remainder when m(-4) is divided by 5?
4
Let s(l) = -l**2 + 19*l - 36. Calculate the remainder when 83 is divided by s(15).
11
Suppose 0 = r + t - 62, 4*t - 63 = -2*r + 63. Calculate the remainder when r is divided by 16.
13
Let i = -44 - -97. Suppose 13 = -s + i. Let m = 60 - 39. What is the remainder when s is divided by m?
19
Let s(t) = 3*t**2 + 3*t. What is the remainder when 53 is divided by s(2)?
17
Let n(y) = -y + 1. Suppose 2*r = 6*r - 88. Calculate the remainder when r is divided by n(-7).
6
Let l = 9 - -8. What is the remainder when 117 is divided by l?
15
Suppose 12*q = 11*q + 12. Calculate the remainder when 21 is divided by q.
9
Let c(i) = i**3 + 2*i**2 - 2*i + 3. Let a be (-15)/(-20)*(-16)/(-6). Calculate the remainder when 58 is divided by c(a).
13
Suppose 3*q - 51 = -2*q + 2*h, h + 12 = q. What is the remainder when 23 is divided by q?
5
Let n(p) = -p**3 - p**2 + 2*p + 13. What is the remainder when 49 is divided by n(0)?
10
Suppose 4*f - 3 = 3*f. Suppose -2*r - y = f*r - 82, -5*y + 58 = 3*r. What is the remainder when 61 is divided by r?
13
Let y be -8 - (0 - 2) - -1. Let o = y - -9. Suppose 4 = -2*v + 2*i, 5*v - 26 = -3*i + o. Calculate the remainder when 5 is divided by v.
2
Suppose -3 = 3*o - 9. What is the remainder when 3 is divided by o?
1
Let y(h) = h + 25. Calculate the remainder when 53 is divided by y(3).
25
Let x(g) = g**3 - 9*g**2 + 10. Suppose 9 = 3*d, w - 3*d = 2*w - 49. Suppose 2*y - 18 = -s, -s + w = 5*y - 5. Calculate the remainder when 39 is divided by x(y).
9
Let j(d) = -11*d - 8. Let z = 17 + -2. What is the remainder when j(-6) is divided by z?
13
Let y(o) = o - 1. Let m(t) be the second derivative of t**5/20 + t**4/6 - t**3/2 + 3*t**2/2 + 2*t. What is the remainder when m(-3) is divided by y(3)?
1
Suppose 0 = 2*z + 4, -3*b + 0*b = -z - 14. Suppose -k - b = -15. Let c = 42 + -22. What is the remainder when c is divided by k?
9
Let y = -12 - -34. What is the remainder when 41 is divided by y?
19
Suppose 19 + 36 = 5*b + o, -2*b + 3*o + 22 = 0. Calculate the remainder when 43 is divided by b.
10
Suppose 40 = k + 7. What is the remainder when k is divided by 9?
6
Suppose 3*f - 6*f = -15. Suppose 2*v + 8 = 4*v. Suppose v*t - 2 + 9 = -p, -p = t - 5. Calculate the remainder when p is divided by f.
4
Let q = -5 - -15. What is the remainder when (q/4)/5*18 is divided by 4?
1
Let j(d) = -2 - 1 + 10 - d**2 - d. Calculate the remainder when ((-4)/(-2))/(14/133) is divided by j(0).
5
Let u(c) = c**2 + 10*c + 21. Calculate the remainder when u(-8) is divided by 3.
2
Suppose -30 + 82 = 4*g. Let u be (-2 - -4)/(2/34). Let r = u - g. Calculate the remainder when r is divided by 11.
10
Suppose -3*i + b = 2 - 7, -4 = -b. Suppose 9 = p + 4*n, -2*p - i*n = -p - 10. Calculate the remainder when 50 is divided by p.
11
Suppose 5*n = 31 - 1. Suppose b = n + 4. What is the remainder when 29 is divided by b?
9
Let r = 294 + -66. Calculate the remainder when r is divided by 33.
30
Let d be (-1)/4 - 52/(-16). Suppose -146 = -d*q - 41. Calculate the remainder when q is divided by 12.
11
Let f(n) = 5*n - 8. Let b be f(7). Suppose b = -5*o + 97. What is the remainder when 53 is divided by o?
11
Suppose 2*h = -4*f + h - 135, h = -f - 36. Let r = f + 47. Calculate the remainder when 41 is divided by r.
13
Let y be 18/4 - (-12)/(-8). Calculate the remainder when (-2 + y - -37) + -1 is divided by 13.
11
Let j = 37 + -35. Calculate the remainder when 11 is divided by j.
1
Let v(q) = -21*q - 1. What is the remainder when v(-1) is divided by (1/(-2))/((-1)/14)?
6
Let p = -53 - -102. Suppose 0 = 4*l - p + 1. What is the remainder when 23 is divided by l?
11
Let o = 13 - 12. Suppose h - o - 30 = 0. Let a(s) = -s**3 + 5*s**2 + 7*s + 5. What is the remainder when h is divided by a(6)?
9
Suppose -c + 6*c = 155. What is the remainder when c is divided by 16?
15
Let z = -13 + 28. What is the remainder when 55 is divided by z?
10
Let l(z) = z**2 - 4*z. Let c(q) = 3*q**2 - 3*q - 1. Calculate the remainder when l(-4) is divided by c(3).
15
Let b(o) = o**3 - 4*o**2 - o + 5. Calculate the remainder when (0 + -1 + 3)*49 is divided by b(5).
23
Suppose 2*a + 0*a = 44. What is the remainder when (-26)/(-143) - 460/(-11) is divided by a?
20
Let b = 1 - -3. Let k = 9 + -2. Calculate the remainder when k is divided by b.
3
Let a = 1 + 0. Let l be (-3 + 5)*a/2. Suppose -c + 7 = l. Calculate the remainder when 10 is divided by c.
4
Suppose -8*c - 415 + 1287 = 0. Calculate the remainder when c is divided by 37.
35
Suppose 4*q - 4*s - 224 = -0*s, 2*q = s + 108. Suppose 0 = 4*b - 8*b + 72. Calculate the remainder when q is divided by b.
16
Let x = -30 - -43. Suppose -2*v = 1 - 11. Suppose g = -s + v*s - 96, -g = -s + 24. What is the remainder when s is 