 divided by 8?
1
Suppose -3*u + 21 = -33. What is the remainder when 51 is divided by u?
15
Suppose -3*l + 6 + 2 = f, 2*f = -3*l + 13. Let x(p) = p**3 + 14*p**2 + 13*p + 1. What is the remainder when l is divided by x(-13)?
0
Let f(g) = 42*g**3 + g**2 - 2*g + 1. Suppose d - 3*r = -0*r + 20, 3*r = 2*d - 31. What is the remainder when f(1) is divided by d?
9
Suppose 2*y = -4*v + 6*y + 124, -2*y = 2*v - 66. Let b = v + 8. Calculate the remainder when b is divided by 14.
12
Suppose -170 = -5*a - 0*a. What is the remainder when a is divided by 18?
16
Suppose -6*b + 1650 = 9*b. What is the remainder when b is divided by 38?
34
Suppose -2*x + 44 + 59 = 3*b, 0 = -3*b + 3*x + 78. Calculate the remainder when b is divided by 8.
7
Let u = 7 + -2. Let f(z) = z**2 + 6*z + 7. Let j be f(-5). What is the remainder when ((-4)/(-2))/j*14 is divided by u?
4
Suppose 0 = 2*j + 3 - 7. What is the remainder when 7 is divided by j?
1
Let d be 0 - (1 - 1) - 4. Suppose -4*u = 12, -2*u + 1 = 5*o - 3. Calculate the remainder when ((-10)/8)/(d/16) is divided by o.
1
Let y = -8 + 13. What is the remainder when y is divided by 1?
0
Let p = -908 - -1292. What is the remainder when p is divided by 55?
54
Let i = -1 + -7. Let x = -1 - i. What is the remainder when 34 is divided by x?
6
Let j(i) = 20*i**2 - 1. Suppose -2*q + 4*w + 1 - 11 = 0, 3*w = -3*q + 12. What is the remainder when 75 is divided by j(q)?
18
Suppose w = 4 - 8. Suppose c - 4*u - 13 = 0, c + 9 = -2*c - 4*u. Calculate the remainder when 2 + (-4 + c)*w is divided by 5.
4
Let f(h) = -9 - 3 + 3*h + 14 + 13*h**2. What is the remainder when 20 is divided by f(-1)?
8
Suppose 0 = 2*g - 3*g + 2. Suppose g*z = -2*c - 0*c + 4, 4*c + 3*z - 13 = 0. Calculate the remainder when c is divided by 5.
2
Let h = -85 + 144. Suppose -2*u + 3 = -3*u, -2*p + u = -h. What is the remainder when p is divided by (2 - 1) + 2 + 7?
8
Let r = 8 + -6. Calculate the remainder when (r/(-3))/(4/(-42)) is divided by 2.
1
Let c be (3 - (0 + 2))*4. Suppose -c*w + u = -304, 371 = 5*w - 2*u + 3*u. Suppose 6*d = 3*d + w. What is the remainder when d is divided by 7?
4
Let b = -48 - -72. Suppose -3*n + 6*n = -2*z + 4, -4*n + 2*z = -b. What is the remainder when n is divided by 3?
1
Suppose 0 = 3*d - d - 100. Suppose -d - 4 = 3*u. What is the remainder when (u/(-4))/((-2)/(-16)) is divided by 19?
17
Suppose 2*d - 3 - 3 = -2*s, 0 = -4*s + 5*d + 3. Let j = 0 - -1. Calculate the remainder when s is divided by j.
0
Let q(m) = 3*m**2 + 2*m - 1. What is the remainder when q(3) is divided by 17?
15
Let g be (-1 - 2) + -4 + 23. Suppose -m - 4*d + 2*d + g = 0, -4*m - 3*d + 69 = 0. What is the remainder when 53 is divided by m?
17
Let o = -7 + 6. Let g be 30/o + 6/3. Calculate the remainder when 16 is divided by (-260)/g + (-6)/21.
7
Let j = 6 + 8. Let h = 53 + -21. Suppose u = 4*a - 0*u - h, -3*u = -5*a + 40. What is the remainder when j is divided by a?
6
Let f(d) = d**3 + d**2 + 67. Let p = 15 - -8. What is the remainder when f(0) is divided by p?
21
Suppose 316 = 4*b + 72. What is the remainder when b is divided by 31?
30
Let t(x) = x**3 + x + 6. Let r be t(0). Suppose -5*h - q + r*q = -45, 3*h = 5*q + 37. Suppose 2 - h = -i. What is the remainder when i is divided by 1?
0
Suppose 0 = -0*s - s + 3. Suppose 0*q = -3*q + s. Let f = q + 21. What is the remainder when f is divided by 12?
10
Suppose g - 10 = 21. What is the remainder when g is divided by 16?
15
Suppose 2*q = r + 3 - 1, 3*q - 13 = -r. Suppose 6 = 2*v - r. Suppose 2*j - 36 = -5*s, 0 = 5*s + 2*j - v*j - 21. Calculate the remainder when 11 is divided by s.
5
Let p = 11 + -8. Calculate the remainder when p is divided by 1.
0
Let s(n) = -2*n + 4 + 2*n - 4*n. Let k(f) = f + 3. Calculate the remainder when s(-4) is divided by k(4).
6
Calculate the remainder when 3 + (12 - -1) + -1 is divided by (0 + 1)*(1 + 7).
7
Let t = -8 - -10. Suppose 8 = -t*w, -52 = -4*a + 2*w + 3*w. Calculate the remainder when 31 is divided by a.
7
Let u = 22 - 17. What is the remainder when 98 is divided by u?
3
Let w(u) = 4*u**2 - 2*u. Let m be w(-3). Suppose 0*b - m = -2*b. What is the remainder when b is divided by 11?
10
Let t(i) = -i**2 + 7*i + 4. Let k be t(7). Suppose k*u = 48 + 144. Let a = 4 - -13. Calculate the remainder when u is divided by a.
14
Let t(s) be the third derivative of s**6/120 - s**5/15 - s**4/4 + 3*s**3/2 - 9*s**2. What is the remainder when t(6) is divided by 23?
22
Let r(q) = 12*q**2 + q. Calculate the remainder when 42 is divided by r(-1).
9
Let z(t) = t**3 - 2*t**2 + t + 1. Let s be z(2). Calculate the remainder when 19 - (s + -4) - -1 is divided by 11.
10
Calculate the remainder when 43 is divided by 4/12*-3 - -24.
20
Let z(v) = 5*v + 2. Let c = -2 + 4. What is the remainder when 23 is divided by z(c)?
11
Let k = 44 + -21. Calculate the remainder when 68 is divided by k.
22
Calculate the remainder when 11 is divided by (-116)/(-16) + 3/(-12).
4
Let i(j) = 70*j**2 + j - 1. Let n = -1 - -2. What is the remainder when i(n) is divided by 3 - (-105)/(-5)*-1?
22
Let n = -5 - -7. Suppose -20 - 6 = -n*x. Let j(l) = l**3 - 4*l**2 + 3*l - 5. Calculate the remainder when x is divided by j(4).
6
Suppose 5*p + 18 = 3*l, -p + 2*p = 5*l - 30. What is the remainder when 16 is divided by l?
4
Suppose -172 = -0*w - 4*w. Calculate the remainder when w is divided by 11.
10
Let x be 1 + -16 - (-4 - -3). Let v = -8 - x. Calculate the remainder when 22 is divided by v.
4
Let v(h) be the first derivative of -h**4/4 + h**3/3 - 3*h**2/2 - h - 9. What is the remainder when 65 is divided by v(-2)?
14
Let y(j) = 10*j**2 + 1. Let t = -205 + 142. What is the remainder when y(-2) is divided by 4/3*t/(-6)?
13
Suppose -4*b - b = -305. Calculate the remainder when b is divided by 13.
9
Let j be -75*(1 - (-2 + 4)). Let s be (6/(-5))/((-3)/j). Suppose 2*x - 12 = k + 5*x, 0 = 5*k - 3*x - s. Calculate the remainder when k is divided by 2.
1
Let h = 51 - 25. Suppose 3*a - a = h. Suppose -50 + 2 = -2*r. What is the remainder when r is divided by a?
11
Suppose 46 = 5*m - a, 4 = 5*a - 4*a. Suppose 0*q = -5*q + 5*s + 130, 0 = 2*q + 3*s - 62. Calculate the remainder when q is divided by m.
8
Suppose 3*f - 20 = s, -4*f + 4*s + 5 = -11. Calculate the remainder when ((-1)/(12/58))/((-19)/114) is divided by f.
5
Suppose 2*s = 193 - 25. Let v(b) = b**2 + 1. Calculate the remainder when s is divided by v(-4).
16
Let n(l) = -55*l - 1. Calculate the remainder when n(-2) is divided by 10.
9
Suppose -q = -0*q - 22. Let n = -6 + q. Calculate the remainder when n is divided by 9.
7
Let i = -9 - -24. Calculate the remainder when (-1)/(-4)*1 + 454/8 is divided by i.
12
Let p be (-26)/(-6) + 2/3. Suppose 2*c - 26 = -z - 0*c, -z = p*c - 23. Calculate the remainder when z is divided by 16.
12
Let k(j) = -j**3 - 7*j**2 - 5*j + 8. Calculate the remainder when 9 is divided by k(-6).
1
Suppose -3*x + 3*m + 36 = 2*x, -16 = -4*x - 4*m. Calculate the remainder when 39 is divided by x.
3
Let q be 0 - (4 + -2 - 4). Let m(y) = 3*y**2 + 10 - 3 + 3*y**2 - 3*y**q + 8*y. Calculate the remainder when m(-5) is divided by 11.
9
Let z = 0 - -2. Let n be (-3 + z)*(-2)/2. Calculate the remainder when 18 is divided by ((-10)/(-1))/(n + 0).
8
Let i(y) = 13*y - 8. What is the remainder when i(4) is divided by 9?
8
Suppose 2*p + m = -3*m - 6, 3*m + 4 = -2*p. Let x(l) = l**2 - l - 9. Let k be x(4). What is the remainder when p is divided by (0 - (3 + -1)) + k?
0
Let g be 2 + (1996/(-1) - -2). What is the remainder when 3/(-7) - g/42 is divided by 17?
13
Suppose 4*x + 0*x = 8. Suppose -4 + x = -l. Suppose 3*i = 4 + l. What is the remainder when i is divided by 1?
0
What is the remainder when (2/(-6))/((-4)/852) is divided by 24?
23
Let l = 0 - -11. Let n(y) = 31*y + 1. What is the remainder when n(1) is divided by l?
10
Let b(d) be the third derivative of -d**6/120 + d**5/60 + d**4/24 + 5*d**3/2 - 4*d**2. What is the remainder when 42 is divided by b(0)?
12
Let h = 24 - 14. Suppose 44 = 2*q + h. What is the remainder when 33 is divided by q?
16
Suppose 4*g - 242 = -5*v, -3*g - 224 = -5*v - g. What is the remainder when 134 is divided by v?
42
Suppose 0 = -2*u - 2*m + 42, 0 = -4*m + 23 - 3. Calculate the remainder when 60 is divided by u.
12
Suppose -3*z - 170 = -z. Let s = z - -23