t u = 10 + i. What is the remainder when 14 is divided by u?
4
Suppose -780*q = -770*q - 40. Calculate the remainder when (-84)/(-9) - 2/6 is divided by q.
1
Let z = 3 + 1. What is the remainder when 7 is divided by z?
3
Let r = 174 - 105. Calculate the remainder when r is divided by 18.
15
Let l(i) = i**2 + 2*i - 5. Let r be l(-4). Let y = -11 + 13. Suppose -r*m - 2*t = 2*t - 101, m = y*t + 37. What is the remainder when m is divided by 18?
17
Let c(m) = 5*m**3 - 26*m**2 - 22*m + 27. Let p(u) = 2*u**3 - 13*u**2 - 11*u + 13. Let j(o) = 3*c(o) - 7*p(o). What is the remainder when j(-12) is divided by 2?
0
Suppose 0 = 6*a - 4*a - 10. Calculate the remainder when 9 is divided by a.
4
Suppose 44 = -z + 5*z. Calculate the remainder when 43 is divided by z.
10
Let t(u) = u**3 - 2*u**2 - 2*u + 1. Let h be t(2). Let d = h + 8. Calculate the remainder when (18/d)/(12/30) is divided by 5.
4
Let b(x) = x**2 + 7*x + 8. Let t be b(-6). Suppose -2 = t*p - 6. Suppose -p*u = 6 - 36. What is the remainder when u is divided by 8?
7
Suppose 17 + 11 = 2*c. What is the remainder when 40 is divided by c?
12
Suppose 0 = -3*z - 3*h + 90, -4*z - 32 = -5*z + h. Suppose 9*l = 13*l - 44. What is the remainder when z is divided by l?
9
Suppose 4*n = -0*u + 2*u - 80, -2*u + 56 = 2*n. What is the remainder when u is divided by 17?
15
Suppose 0 = d - 0*d - 1. Suppose d - 7 = -2*m. What is the remainder when 6 is divided by m?
0
Let s = 5 + -3. Let m(p) = p**3 - 7*p**2 + 6*p + 1. Let g(x) = x**3 - 7*x**2 + 2*x - 8. Let q be g(7). What is the remainder when s is divided by m(q)?
0
Calculate the remainder when 45 is divided by (-1110)/(-70) + 2/14.
13
Let x = 16 + -45. Let y = 50 + x. Calculate the remainder when 40 is divided by y.
19
Suppose -3*g - g = 0. Let t be 1*5*(1 + g). Let r = 8 + t. What is the remainder when 37 is divided by r?
11
Let r(g) = -g + 11. Let x(u) = -3*u + 32. Let p(i) = -8*r(i) + 3*x(i). Calculate the remainder when 62 is divided by p(-8).
14
Calculate the remainder when 79 is divided by 1 + 1 + 0 - (-31 + 6).
25
What is the remainder when 24*(0/1 + (-6)/(-8)) is divided by 10?
8
Let j = 80 + -176. Let y = -49 - j. Calculate the remainder when y is divided by 24.
23
Let g = 25 - 23. Suppose 0*n = -4*n + k + 292, g*k = -2*n + 146. Calculate the remainder when n is divided by 19.
16
Suppose -48*o + 280 = -44*o. What is the remainder when o is divided by 24?
22
Suppose 0 = 3*z - 2 - 1, -3*z = 4*y - 231. Let l = -27 - -42. Calculate the remainder when y is divided by l.
12
Let i(w) = w + 40. Let q(n) = n**3 - 9*n**2 - 9*n - 6. Let t be q(10). Calculate the remainder when i(0) is divided by 192/9 + t/(-12).
19
Let c be (2 - 1 - -1) + -5. Let z = 6 + c. Suppose -d + z*d = 6. Calculate the remainder when 5 is divided by d.
2
Let x = -11 - -25. Let g = 131 - 63. What is the remainder when g is divided by x?
12
Suppose 42 = -4*n - 14. Let v = n - -26. Suppose 96 - 27 = 3*k. Calculate the remainder when k is divided by v.
11
Let c(q) = -5*q - 25. Calculate the remainder when 55 is divided by c(-7).
5
Let o = 22 - 10. Let t = -29 - -63. Calculate the remainder when t is divided by o.
10
Suppose -5*c + 26 = 11. Suppose -p - 14 = -c*p. Calculate the remainder when 20 is divided by p.
6
Let f be (-8 + -2)/((-7)/21). Calculate the remainder when 63 is divided by ((-16)/(-10))/(3/f).
15
Let s(f) = -12*f - 7. Calculate the remainder when 47 is divided by s(-2).
13
Let q(z) = -13*z - 4. Let t be q(-2). Suppose -r - r = -t. Calculate the remainder when 32 is divided by r.
10
What is the remainder when ((-4)/(-12) + 0)*(317 + 1) is divided by 18?
16
Let u(i) = -i**3 + i**2 + 6*i + 5. Let g(l) = -l**2 + 2*l - 1. Let b be g(3). What is the remainder when u(b) is divided by (-5 - -8) + 1 + 17?
19
Suppose 5*h - 2*c = 57, 3*h - 26 = -c + 6. Let l = 5 - h. Calculate the remainder when 19 is divided by ((-8)/l)/(4/30).
9
Let a(f) = f**2 + 8*f - 68. Calculate the remainder when a(-16) is divided by 16.
12
Let n be (-11)/3 - (-13)/(-39). Calculate the remainder when 18 is divided by n/2*-7 - 4.
8
Let g(m) = m**2 + 4*m + 9. Calculate the remainder when g(-4) is divided by 4.
1
Suppose 0 = -k - 4*i + 58, -k - 5*i = -44 - 19. Calculate the remainder when 111 is divided by k.
35
Let s = 9 - 13. What is the remainder when 43 is divided by (-2)/(s/34) + -2?
13
Suppose -o + 5 = -0*o. Suppose 0 = l + 2*l - 39. What is the remainder when l is divided by o?
3
Let y = 251 - 77. Calculate the remainder when y is divided by 35.
34
What is the remainder when 46 is divided by (-1)/(-4) + 1 + 594/24?
20
Suppose -2*v + 93 = -5*k + 27, -123 = -5*v + 2*k. Calculate the remainder when 0/(-3) + -1 + 45 is divided by v.
21
Suppose t = -t + 64. Let f(z) = 4*z - 1. What is the remainder when t is divided by f(3)?
10
Suppose -136 - 125 = -9*w. What is the remainder when 41 is divided by w?
12
Let a = 64 + -56. What is the remainder when 38 is divided by a?
6
Let n = 23 + -10. Let w = -220 - -255. What is the remainder when w is divided by n?
9
Let f(g) be the third derivative of g**5/60 + g**4/24 - 13*g**3/6 - 5*g**2. Calculate the remainder when f(-6) is divided by 6.
5
Let s = -21 + 36. Suppose 4*j = -5*d + 101, -2*d = d - s. Let m = -4 + 41. Calculate the remainder when m is divided by j.
18
Suppose 4*r + 8 = 2*u, -4*u - 2*r + 5 = r. What is the remainder when 2 is divided by u?
0
Suppose 0*h = -3*h - 60. Let k be (-33)/(-5) - (-12)/h. What is the remainder when 5 is divided by k/4 - 2/(-4)?
1
Let w(o) = 4*o**3 - 10*o**2 + 8*o - 3. What is the remainder when w(4) is divided by 42?
41
Suppose 6*y - 108 = 60. Calculate the remainder when 98 is divided by y.
14
Let n(t) = 2*t + 8. Let s be n(-6). Let k(l) = l**2 - 2*l - 3. Let q be k(s). Suppose c - 16 - q = 0. What is the remainder when c is divided by 13?
11
Suppose 0 = a - 7 - 3. Let f = a + 4. Calculate the remainder when 52 + (7 - 2) + -4 is divided by f.
11
Suppose 0 = 5*w - 78 - 22. Let t = 125 + -88. What is the remainder when t is divided by w?
17
Let o(r) = -5*r + 5. Calculate the remainder when o(-9) is divided by (17/(-3))/(3 - (-10)/(-3)).
16
Suppose -y = -28 + 6. Calculate the remainder when y is divided by 12.
10
Let i = 284 - 185. What is the remainder when i is divided by 50?
49
Suppose -3*b + 16 + 47 = 0. What is the remainder when b is divided by 13?
8
Let b = 32 - 3. Calculate the remainder when 114 is divided by b.
27
Let p(j) = -8*j - 4. Let f(v) = -v**3 - 2*v**2 + 4*v + 3. Let b be f(-3). Let u = b - -3. Calculate the remainder when p(-1) is divided by u.
1
Suppose -5*h + 5*n + 30 = 0, 3*n = 5*h + n - 24. Suppose -3*o - 6 = 3*m, 16 = 3*o + o - 4*m. What is the remainder when 1/((-2)/h*-1) is divided by o?
0
Suppose -3*c + 5 + 10 = 0. Suppose -c*n = -0*n - 10. Suppose 2*h = -2*h + 16. Calculate the remainder when h is divided by n.
0
Suppose -9*d + 4*d + 105 = 0. Calculate the remainder when d is divided by 12.
9
Let u(l) = l + 4. Let q be 2/(-4) + (-7)/(-2). What is the remainder when 11 is divided by u(q)?
4
Let l(c) = c**2 - 2*c - 2. Let n = -4 + 4. Let t = n - 2. What is the remainder when 11 is divided by l(t)?
5
Suppose -2*p - 3*k + 163 = 58, 170 = 4*p - 2*k. What is the remainder when 129 is divided by p?
39
Let o = 93 - 78. Calculate the remainder when (43 - (0 - 1)) + -1 is divided by o.
13
Let d(c) = -c**3 + 7*c**2 - 6*c + 2. Let j(q) = -4*q - 20. Calculate the remainder when j(-6) is divided by d(6).
0
Suppose -3*n = 4*a + 10, 0 = 2*n + 3*n - 5*a + 5. Let w = 6 - n. What is the remainder when 15 is divided by w?
7
Let o(v) = 7*v**3 + v**2 - 2*v - 4. Calculate the remainder when o(2) is divided by 28.
24
Let x(r) = -r**2 - 12*r - 4. What is the remainder when 47 is divided by x(-10)?
15
Calculate the remainder when 53 is divided by (120/50)/((-4)/(-30)).
17
Suppose 4*f - 4 = 0, 6 = 5*m - 2*f - 2. What is the remainder when m is divided by 1*-4*4/(-8)?
0
Suppose -5*l + 80 = z, -z + 13 + 51 = 4*l. Let p(v) = v**3 - 6*v**2 - 1 + 2 + 5*v + 5. What is the remainder when l is divided by p(5)?
4
Suppose t = -5*j + 11, 0 = -4*j + 4*t - 3*t + 7. What is the remainder when 14 is divided by j?
0
Calculate the remainder when 6 is divided by 6/(-12) - 9/(-2).
2
Let w = 7 - 5. Calculate the remainder when 4 is divided by w.
0
Suppose