 i + 27 = -k + 62, -5*i = -3*k + 81. What is the remainder when k is divided by 9?
5
Let t(d) = -d**2 + 9*d + 5. Let j(p) = p**2 + 13. Calculate the remainder when j(0) is divided by t(9).
3
Let b = 171 - 84. What is the remainder when b is divided by 9?
6
Let b be (-16)/(-10) - (-6)/15. Let c = b + 0. What is the remainder when 30/(-70) - (-90)/14 is divided by c?
0
Let k = 5 + -1. Suppose 165 = d + k*d. Calculate the remainder when d is divided by 37/4 + 1/(-4).
6
Let p(n) = -n**2 - 2*n - 1. Let v be p(-3). Calculate the remainder when 47 is divided by (v/(-3))/((-2)/(-18)).
11
What is the remainder when 52/91 + (-412)/(-14) is divided by 3?
0
Let x = -7 + 11. Suppose 0 = -q - x*q + 70. Let c = 419 + -414. What is the remainder when q is divided by c?
4
Let n = -2 + 4. Let a = 268 - 267. What is the remainder when n is divided by a?
0
Let u = 0 + 8. Suppose z - u = 3. Suppose 3*h + 35 = 98. What is the remainder when h is divided by z?
10
Let w be ((-6)/9 - 0)*30. Let p = 34 + w. What is the remainder when 39 is divided by p?
11
Suppose 5*t - 164 = t. Let b be 2/(-12) + 131/(-6). Let q = 36 + b. What is the remainder when t is divided by q?
13
Let o = -4 + 6. Suppose 2*v - 4 = o. Suppose v*y - 2*y = 1. Calculate the remainder when 1 is divided by y.
0
Suppose -w = -z - 16, -3*w - 5*z + 53 = -w. Calculate the remainder when 37 is divided by w.
18
Let c = -17 - 1. Let l(a) = -a**3 - 19*a**2 - 18*a + 6. Calculate the remainder when 9 is divided by l(c).
3
Suppose 3*q - 78 = -5*g + 83, 0 = -g - 3*q + 25. What is the remainder when 134 is divided by g?
32
Let i(f) be the second derivative of f**4/6 - f**3/6 - f**2 + f. Let z = -31 - -33. Calculate the remainder when 9 is divided by i(z).
1
Let a = 37 - 23. Let k = -43 - -69. What is the remainder when k is divided by a?
12
Suppose 3*p - 116 - 10 = 0. What is the remainder when p is divided by 15?
12
Calculate the remainder when 88 is divided by 21*5/30*2.
4
Suppose 8 = -4*l - 4*z, 2*l - 5*z - 34 = -l. Suppose -2 = -l*k + 4. Suppose 3*j - x - 26 = 0, -k*x = 2*x - 4. Calculate the remainder when j is divided by 5.
4
Let f(s) = 0 - 20*s**3 + 7*s**3 + 1. Let q(m) = -m**2 - 5*m - 1. Let r be q(-5). What is the remainder when 41 is divided by f(r)?
13
Suppose -5*s = 2*q - 15, 0 = 4*s + 3*q - 13 - 6. Let g = 1 - s. Let l = 9 + g. What is the remainder when 25 is divided by l?
7
Suppose -1197 = -25*v + 4*v. What is the remainder when v is divided by 24?
9
Suppose 2*t - 140 = -5*t. Calculate the remainder when 37 is divided by t.
17
Let f = -2 - -11. Let p = -22 - -38. Suppose 0 = 3*n - p - 32. Calculate the remainder when n is divided by f.
7
Let c be -2 - (-34 - 2) - -2. Let x = c - 1. Suppose -2*p = 3*p - x. What is the remainder when 20 is divided by p?
6
Let w = -5 + 31. Calculate the remainder when w is divided by 1*2*(-45)/(-10).
8
Let k be ((-17)/2)/((-1)/2). Suppose -3*r + 10 = -k. Let s = 13 + r. Calculate the remainder when s is divided by 12.
10
What is the remainder when (110/8)/(1/4) is divided by (-14)/(-2 + (-4)/(1*-4))?
13
Let c(v) = -v**3 - 6*v**2 - v - 1. Let b(k) = k - 6. Let s be b(7). Calculate the remainder when c(-6) is divided by s/2 + (-6)/(-4).
1
Let c(h) = -h + 32. What is the remainder when 59 is divided by c(17)?
14
Let d(s) = s**2 - 2*s. Let z be d(2). Suppose -2*h + 26 = 4*n, h + n - 5 - 5 = z. What is the remainder when h is divided by 5?
2
Suppose -3*p - b + 133 = 0, -211 = -5*p - 0*b + b. What is the remainder when p is divided by 11?
10
Let n(f) = 2*f - 6. Let x be n(3). Suppose v + 0*v - 39 = x. What is the remainder when v is divided by 10?
9
Let r(x) = 2*x**2 + 9*x - 6. Let j(y) = 4*y**2 + 19*y - 13. Let c(u) = -6*j(u) + 13*r(u). What is the remainder when c(-5) is divided by 9?
8
Suppose -l + 9 + 20 = 0. Calculate the remainder when l is divided by 16.
13
What is the remainder when -66*((-32)/6 + 4) is divided by 31?
26
Let i = -308 - -453. What is the remainder when i is divided by 21?
19
Let u(y) = y**2 + 4*y - 12. What is the remainder when 62 is divided by u(5)?
29
Suppose 5*p - 23 = -2*f, -7*p = 5*f - 3*p - 15. Let v = 3 + f. Suppose 55 + 5 = v*o. What is the remainder when o is divided by 16?
14
What is the remainder when 9 is divided by 3*(-1)/((-6)/8)?
1
Calculate the remainder when 61 is divided by (-350)/(-20)*(-12)/(-10).
19
Suppose -v + 29 = s - 3*v, 0 = -3*s + 5*v + 83. Let d be -1*1 + (-1)/1. What is the remainder when 63 + (4 + -2)/d is divided by s?
20
Suppose -3*x = -2*u - 17, 18 = -3*u + x + 2*x. What is the remainder when 19 is divided by u - (-7 - 3/(-3))?
4
Calculate the remainder when 14 is divided by 2/3 - (-78)/18.
4
Let s(n) = -3*n**3 - n**2 + 12*n + 10. Let j be s(-8). Suppose -j - 1344 = 5*a. Calculate the remainder when 4/(-18) - a/27 is divided by 11.
9
Let x(a) = -13*a + 2. Let l be x(-4). Suppose -3*u + 0*u = -l. What is the remainder when 52 - (2 + 1)/(-3) is divided by u?
17
Suppose 0 = -i + 1 + 2. Let f = -1 + i. Calculate the remainder when 2/(-1) - (0 - 6) is divided by f.
0
Let t = -14 + 20. Calculate the remainder when 21 is divided by t.
3
Let g(b) = -b**2 + 17*b + 46. What is the remainder when g(18) is divided by 6?
4
Let i(h) = -6*h - 10. Calculate the remainder when 69 is divided by i(-4).
13
Let a(p) = 4*p - 67. Calculate the remainder when 59 is divided by a(20).
7
Let z be (-18)/5*20/(-8). Suppose 4*p + z = -19. Let n = -6 - p. What is the remainder when 2 is divided by n?
0
Suppose 24*c - 176 = 16*c. Calculate the remainder when 36 is divided by c.
14
Suppose 5*f - 291 = q + 81, -2*q + 6 = 0. Let z = 36 - 17. Calculate the remainder when f is divided by z.
18
Let d = 14 + 30. Let t = 16 + -6. Let b = 5 + t. What is the remainder when d is divided by b?
14
Suppose -20 = -4*c - 0*c. What is the remainder when 11 is divided by c?
1
Suppose -f + 18 = f. Let t = 21 + -13. Let l(o) = -o**3 + 8*o**2 + 2*o - 11. Calculate the remainder when f is divided by l(t).
4
Let b(d) = -5*d. Let q = -10 + 19. What is the remainder when b(-5) is divided by q?
7
Let r(u) = -3*u + 26. What is the remainder when 38 is divided by r(6)?
6
What is the remainder when ((-3)/6)/((-6)/288) is divided by 13?
11
Suppose 3 = -4*j - 5. Let o(m) = -3*m**3 - 3*m**2 - 2*m - 1. Calculate the remainder when o(j) is divided by 6.
3
Suppose 5*m - 25 = 70. What is the remainder when m is divided by (-3)/(((-9)/(-10))/(-3))?
9
Suppose -h + 30 = 5*s - 6*h, 2*s = -h + 9. What is the remainder when 38 is divided by s?
3
Suppose -u + 1 = 8. Let p = u - -20. Suppose 4*h = 3*h + p. What is the remainder when h is divided by 5?
3
Let h be -1 + (6/(-2))/(-3). Suppose -4*q - m = -2*m - 173, h = 4*q - 4*m - 176. Calculate the remainder when q is divided by 15.
13
Suppose -m + 3*o + 6 = m, 0 = -3*m + 3*o + 12. What is the remainder when 9 is divided by m?
3
Suppose -3*f - 2 = -4*f. Suppose -x = f*n - 32, 0*n = 4*x + 5*n - 113. What is the remainder when 64 is divided by x?
20
Suppose 5*z - 23 = 12. What is the remainder when z is divided by 3?
1
Suppose -2*k - 2*k - 8 = -3*x, -2*x - 5*k = -13. Let j = -5 + 9. Suppose 4*v + 0*o - j = 4*o, v = 3*o - 9. What is the remainder when v is divided by x?
2
Let k(x) = x + 5. What is the remainder when -5*2*21/(-6) is divided by k(4)?
8
Let m(q) = 3*q**2 - q + 2. Let s be m(-3). Calculate the remainder when (-2)/(-2) + 1 + s is divided by 12.
10
Suppose 2*p = 3*f - 0*p - 92, -2*f = 4*p - 88. What is the remainder when 100 is divided by f?
32
Let a = -177 + 282. Suppose 0 = k - 3 - 1. Suppose p = -k*p + a. What is the remainder when 61 is divided by p?
19
Let b = 28 - 4. Suppose -3*v = -6*v + b. What is the remainder when 29 is divided by v?
5
Suppose m + 6 = -3*b, -m - 10 = 2*m + b. Let s = 15 + m. Calculate the remainder when 23 is divided by s.
11
Let u(n) = 3*n**2 - 5. Let l be u(4). Suppose d - 231 = 5*r, 5*d - 2 + l = -r. Let m = -23 - r. What is the remainder when m is divided by 8?
7
Let l = 40 - -15. What is the remainder when l is divided by 14?
13
Suppose -3*v = -2*v + 6. Let w = v + 10. Let b = 16 - 6. What is the remainder when b is divided by w?
2
Let i = 58 + -48. What is the remainder when 38 is divided by i?
8
Suppose 2*k - 2*b = 3*b + 53, -4*k = -b - 151. Let t(q) = -q**2 - 8*q - 9. Let f be t(-5). Calculate the