
What is the remainder when 23 is divided by 28/5 - 2/(-5)?
5
Suppose -2*v - 4*n = -14, 8*v - 3*n = 3*v + 22. Suppose t - 14 = -3*i, t + 13 = v*i + 67. Calculate the remainder when t is divided by 10.
9
Suppose z + x - 1 = 6*x, 4*z + 2*x = 114. What is the remainder when z is divided by 9?
8
Suppose 4*x = -4*i + 64, -34 = -4*x + 4*i - 2. Let d = 22 - x. Calculate the remainder when 18 is divided by d.
8
Let k be -1 - 1*103*-2. Calculate the remainder when k/5 + 1 + -1 is divided by 11.
8
Calculate the remainder when 517/11 - -1*-1*3 is divided by 32.
12
Suppose 0 = -d - 3*d + 4*u + 108, 6 = -2*u. Calculate the remainder when d is divided by 5.
4
Let i = -4 + 12. What is the remainder when 15 is divided by i?
7
Let w be 5 + -3 + 1 - 3. Let a = -17 - -28. Suppose 4*z - 93 - a = w. Calculate the remainder when z is divided by 9.
8
Let r(g) = 2*g**2 + 4*g + 1. Let h(q) be the second derivative of q**4/6 - q**3 - 2*q**2 + 2*q. Calculate the remainder when r(-5) is divided by h(5).
15
Suppose -6*q = -f - q - 1, -q = -1. What is the remainder when f is divided by 2?
0
Let a = 49 - 35. Calculate the remainder when -25*((-39)/15 + 1) is divided by a.
12
Let i(r) = -r**3 + r**2. Let v be i(0). Let c = 21 - v. Suppose -3*f - 10 + 43 = 0. Calculate the remainder when c is divided by f.
10
Let d = 38 - 25. Let t(o) = 38*o**2 - 1. Let n = -2 + 1. What is the remainder when t(n) is divided by d?
11
Suppose 2*p = 5*p - 36. Calculate the remainder when ((-248)/(-12))/1 + 2/6 is divided by p.
9
Suppose -16 = 4*m - 0*m. Let g(q) = 2*q**2 + 6*q + 2. Calculate the remainder when g(m) is divided by 6.
4
Let s(l) = -2*l**3 - 10*l**2 - 14*l - 37. Calculate the remainder when s(-6) is divided by 32.
23
Suppose -9 = -2*z - 3*l, 4*z + l + 3*l - 8 = 0. Suppose 0 = -s + 1 + 49. What is the remainder when 10 is divided by (-2)/z + s/15?
2
Let h(u) = 2*u. Let v = 3 - 1. Let w be h(v). Suppose 5*n = -w*f + 241, 5*n - 95 = 3*n - 3*f. Calculate the remainder when n is divided by 17.
15
Let d = -205 + 302. What is the remainder when d is divided by 10?
7
Let n be 1/(-2) + (-74)/(-4). Suppose -n = -m - 0. Calculate the remainder when 53 is divided by m.
17
Suppose 18*q - 265 = 13*q. What is the remainder when 103 is divided by q?
50
Let d = 0 - -17. Suppose 2*y - d = -5. Calculate the remainder when y is divided by 4.
2
Let k = 4 - 5. Let b be 35 - 9/3 - k. Let j = b + -10. What is the remainder when j is divided by 12?
11
Let v(n) = n**2 - 2*n - 16. What is the remainder when v(9) is divided by 7?
5
Let b(g) = 4*g**2 - g + 2. Let m(p) = -14*p - 7. Let y be m(-5). What is the remainder when b(3) is divided by y/6*(-36)/(-21)?
17
What is the remainder when -4 + (47 + -3 - 0 - -3) is divided by 28?
15
Suppose 3*t - 8 = -3*n + 19, -5*t + 5*n = -25. Calculate the remainder when 25 is divided by t.
4
Suppose -6 = -h - 0*h. Suppose 2*v - 7 + 3 = 0. Calculate the remainder when h is divided by v.
0
Let n = -22 - -38. Let r(q) = -q**2 + 12*q - 5. What is the remainder when r(7) is divided by n?
14
Let x = -90 - -114. What is the remainder when 92 is divided by x?
20
Let g(a) = -a**2 + 31*a + 39. What is the remainder when g(30) is divided by 7?
6
Let g(n) = n**3 + n**2 + 1. What is the remainder when (-4)/(-14) - (-682)/14 is divided by g(2)?
10
Suppose -4*k + k = -51. Calculate the remainder when 50 is divided by k.
16
Let f = 8 - -8. Calculate the remainder when 61 is divided by f.
13
Let t(d) = -3*d - 2*d**2 + 11*d**2 - 2*d**2 + 4*d + 1 - d**3. Calculate the remainder when t(7) is divided by 3.
2
Let p(f) = -f**2 - 9*f - 7. Calculate the remainder when 24 is divided by p(-7).
3
Let p = -3 - 10. Let j = -9 - p. Suppose 0 = -j*a + 3*a + 19. Calculate the remainder when 37 is divided by a.
18
Suppose -4*k - 170 = -5*i - 9*k, 0 = -5*k - 10. Suppose h = -h + i. Calculate the remainder when h is divided by 10.
8
Let v = -83 + 134. Suppose -6*m + 3*i = -m - 13, 0 = 2*m - 5*i - 9. Suppose -m*z = 2*z - 52. What is the remainder when v is divided by z?
12
Let a(l) = -l - 6. Let w be a(-6). Suppose 3*t = w, 95 = 3*j + 2*j - 4*t. Calculate the remainder when 37 is divided by j.
18
Suppose 2*p + 0*p - 16 = 0. What is the remainder when 31 is divided by p?
7
Suppose -5*u = 3*m + 12, -2*u = -u + 5*m - 2. Let y(p) be the third derivative of -p**4/3 - p**3/3 + 2*p**2. What is the remainder when y(u) is divided by 8?
6
Let x(p) = -p**3 + 11*p**2 + 11*p + 10. Let u be x(12). What is the remainder when ((-120)/18)/(u/3) is divided by 6?
4
Suppose -2*q + j + 3*j + 76 = 0, 0 = q + 4*j - 38. Calculate the remainder when q is divided by 13.
12
Let f(h) = -h**3 + 7*h**2 + 8*h + 2. Let b be f(8). Let r(x) = x**3 - 6*x**2 + 2*x + 8. What is the remainder when r(6) is divided by b/(-3)*(-99)/6?
9
Let j = -15 + 17. Suppose -j*l - l = -57. Calculate the remainder when 74 is divided by l.
17
Let k = -51 - -95. Let z = -3 - -1. Calculate the remainder when k is divided by ((-26)/z - -2) + 0.
14
Let l = 119 - 105. What is the remainder when 47 is divided by l?
5
Let x(g) = -g + 9. Let h = 13 + -8. What is the remainder when h is divided by x(7)?
1
Suppose 8*b = 3*b + 15. Suppose -2*t = 10, -28 - 73 = b*g - 2*t. Let a = g - -60. Calculate the remainder when 67 is divided by a.
21
Suppose 0 = 9*n - 13*n + 192. Calculate the remainder when n is divided by 26.
22
Let b(s) = s**2 - 4*s - 3. Let z be b(5). Suppose -t + 0*l = -2*l + 4, 5*l = z*t + 10. Suppose t = u - 8 + 3. Calculate the remainder when 8 is divided by u.
3
Suppose 5*f - 81 = 4. Calculate the remainder when 99 is divided by f.
14
Suppose -3*m - 2*m = -15, -5*y - 7 = m. Let x(z) = z**3 - 5*z**2 + z. Let b be x(5). Let a = b + y. Calculate the remainder when 4 is divided by a.
1
Suppose 3*h - 16 - 8 = 0. Let b(o) = -o**2 + 10*o - 1. What is the remainder when b(h) is divided by 8?
7
Let d = -9 - -34. Let t = 1 + 1. Suppose 9 = t*c - c. What is the remainder when d is divided by c?
7
Let q(r) = 2*r + 3*r**2 - r - 4*r. Suppose 4*z + 2*a = -z + 4, -5*a - 15 = 0. Calculate the remainder when q(z) is divided by 4.
2
Suppose -64 = u - 3*u. Suppose -2*l + 14 = 2*x, x + 3*x = -2*l + u. What is the remainder when 17 is divided by x?
8
Let v = -3 + -3. What is the remainder when 17 is divided by 10/v*(-3 - 0)?
2
Let o = 15 - 3. Suppose 4*j = -v + 91, -2*j - 4*v - 14 + 70 = 0. What is the remainder when j is divided by o?
10
Let o = 21 + -10. Let b = 19 - o. Calculate the remainder when 29 is divided by b.
5
Suppose y = 5*s + 48, -y + 60 = -2*s + 3*s. What is the remainder when y is divided by 21?
16
Suppose -39 = -3*z - p, 5*z - 4*p - 82 = -0*p. Suppose 4*y + 2 = z. Let a(c) = c**3 - c**2 - 3*c - 1. What is the remainder when a(3) is divided by y?
2
Suppose 0 = 4*d - 12 - 12. Suppose h - d = 4*h. Let m(q) = -6*q - 1. Calculate the remainder when 20 is divided by m(h).
9
Suppose -2*i + 2 + 12 = -4*q, 4*i + 2*q = 8. Suppose -3*u - i*t = -27, 5*t + 43 = 6*u - 3*u. What is the remainder when 30 is divided by u?
8
Suppose 4*i = 131 - 15. What is the remainder when 114 is divided by i?
27
Let k(t) = t**3 - 4*t**2 + 2*t + 4. What is the remainder when 21 is divided by k(4)?
9
Let d = 18 - 82. Let r = -43 - d. Calculate the remainder when 62 is divided by r.
20
Let v be (-21)/(-9) + (-2)/(-3). Suppose 4*a + v*m = 57, 7*m - 3*m - 12 = 0. Suppose -6*l = -67 - 59. Calculate the remainder when l is divided by a.
9
Suppose -50 = -5*j - 2*a - 0, 0 = 2*j - a - 11. Suppose -4*d = -j - 32. Calculate the remainder when d is divided by 6.
4
Suppose -6*p + 61 = 25. What is the remainder when 2/(-10) + 86/5 is divided by p?
5
Suppose 0 = 4*x - 26 - 6. Let l = -12 - -15. Suppose 2*k - k - l = 0. Calculate the remainder when x is divided by k.
2
Let w = -114 + 190. Suppose 0 = -0*u + 4*u - w. Calculate the remainder when u is divided by 11.
8
Suppose -u - 44 = -5*u. Suppose -u = 2*p - 3*p. Calculate the remainder when p is divided by (-1 - 2)/((-6)/8).
3
Let k = -45 - -69. Suppose -2*o + 5*o = k. Let v = 22 - o. What is the remainder when 40 is divided by v?
12
Suppose 4*o + 8*x = 3*x + 114, o = 5*x + 16. Calculate the remainder when 207 is divided by o.
25
Let p(a) = a + 8. Let f = -8 - -4. What is the remainder when 11 is divided by p(f)?
3
Suppose 3*z = 2*g + 79, 4*z - 18 - 2 = 0. Le