Let s = 106 - 72. What is the remainder when s is divided by j?
10
Let k(l) = l**3 + 6*l**2 - 8*l - 5. Let q be k(-7). Suppose w = x - q*x + 12, 5*w - 10 = 0. What is the remainder when x is divided by 6?
4
Let r(n) = 5*n**2 - 12*n - 7. What is the remainder when r(4) is divided by 9?
7
Let r = -7 + 13. Let n be -1*(-1)/(-1) + 1. What is the remainder when r is divided by (n - 1)/((-3)/12)?
2
Let x = -69 + 98. Calculate the remainder when 113 is divided by x.
26
Let s(h) = -h**3 - 5*h**2 + 3*h + 9. What is the remainder when s(-6) is divided by ((-1)/(-2))/((-1)/(-20))?
7
Let g(z) = 29*z**2 + 6*z + 10. Calculate the remainder when g(-2) is divided by 13.
10
Let z(v) = 7 - 3*v**2 + 3*v + 3*v**2 - v**2. Calculate the remainder when z(4) is divided by 2.
1
Let z(v) = v**2 + v + 4. Suppose 8 = 2*h - 2*a, 2 + 2 = -a. Let k be 0/(1 + h + 1). Calculate the remainder when 7 is divided by z(k).
3
Let x(l) = l**3 - 6*l**2 + l + 8. Suppose 0*o = 4*o + 16. Let c be 1*12/(-2 - o). Calculate the remainder when x(c) is divided by 8.
6
Suppose 4*z - 9 = -2*f + 213, 5*z + f - 276 = 0. What is the remainder when z is divided by 14?
13
Suppose -78 = -2*t - 96. Let d(v) = v**3 + 4*v**2 - 6*v - 6. Let i be d(-5). Calculate the remainder when 34 is divided by (-1)/i*t/(-1).
7
Suppose 8*p - 789 + 237 = 0. Calculate the remainder when p is divided by 24.
21
Suppose 8*s + 2*s - 60 = 0. Let p = -5 + 14. Calculate the remainder when p is divided by s.
3
Let m be ((-1)/(-3))/((-2)/(-102)). Suppose 14 = 3*d - 19. What is the remainder when 12/(-6) - -2*m is divided by d?
10
Suppose -2*o - 4*y + 26 = 0, -4*o + 23 = -2*y - 39. What is the remainder when o is divided by 9?
6
Suppose a - 2*s + 6 = 0, -2*s + 8 = 2*s. Let m = a + 12. Suppose 0 = -3*o + 4*o - 3*w - 4, 4*o - 2*w - 66 = 0. What is the remainder when o is divided by m?
9
Calculate the remainder when 105 is divided by ((-18)/4)/(9/(-54)).
24
Let g = 27 + -19. What is the remainder when g is divided by 5?
3
Suppose -4*b - x = -2*x - 16, -8 = -4*b + 3*x. Suppose 2*d = 3*h + 3*d - 101, 0 = -b*h + 2*d + 150. What is the remainder when h is divided by 11?
10
Let c(f) = -7*f - 29. Calculate the remainder when c(-14) is divided by 10.
9
Let r = 5 + -8. What is the remainder when (-1 - r) + (2 - 3) is divided by 1?
0
Let y = -7 + 7. Suppose y = -k - 2*j + 21, -2*k - 3*j + 60 = -5*j. Calculate the remainder when k is divided by 10.
7
Let p = -40 + 47. What is the remainder when 69 is divided by p?
6
Let h = 106 - 92. Calculate the remainder when 66 is divided by h.
10
Let c(m) = -m + 9. Let l be c(11). Let t = l + 5. Calculate the remainder when 11 is divided by t.
2
Let n = 27 - -115. What is the remainder when n is divided by 16?
14
Let f(r) = r**2 + 6*r + 13. What is the remainder when 21 is divided by f(-5)?
5
Suppose -85 = -2*y - 5*b, 3*b - 89 = 4*y - 220. Let h = 3 + 6. Suppose a - h + 0 = 0. What is the remainder when y is divided by a?
8
Let j be 2/(-4)*23*-4. Suppose -2*w - 4*t + j = w, 0 = 2*w - 3*t - 8. Calculate the remainder when 18 is divided by w.
8
Suppose 0 = -10*k - 5*k + 375. What is the remainder when 72 is divided by k?
22
What is the remainder when (-450)/(-9) + (-1 - 2) is divided by 25?
22
Suppose 0 = -3*l + 25 + 14. What is the remainder when 24 is divided by l?
11
Suppose -3*j + 78 = 3*s - 5*j, 52 = 2*s + 2*j. What is the remainder when s is divided by 10?
6
Let t be 1/4 + 1/(-4). Let y = t + 17. What is the remainder when 50 is divided by y?
16
Let v(m) = m**3 + 2*m**2 - 4*m + 1. Let w be v(-3). Suppose -i + w*i = 156. Calculate the remainder when i is divided by 27.
25
Suppose -2*p + 37 + 31 = 0. Suppose 172 = 4*y + 4*l, 5*y - y - l - 167 = 0. Suppose p = 4*h - y. Calculate the remainder when 36 is divided by h.
17
Suppose 7*x - 135 = 2*x. What is the remainder when 107 is divided by x?
26
Let c(w) = w**2 + 9*w + 8. What is the remainder when c(-10) is divided by 5?
3
Let r be (1/(-3))/(3/(-45)). Suppose 0 = -3*x + 4*v + 34, 3*v = 3*x + r*v - 10. What is the remainder when x is divided by 2?
0
Suppose -w = -2, -3*z + w + 0*w = -31. Calculate the remainder when 19 is divided by z.
8
Let i(h) = -h**2 - h - 1. Let t(m) = 3*m**2 - 5*m - 2. Suppose 1 = 5*u - 4. Let r(s) = u*t(s) - 3*i(s). What is the remainder when 8 is divided by r(1)?
3
Let r(t) = 10*t. Let k = 3 + 1. What is the remainder when r(1) is divided by k?
2
Suppose 2 - 10 = 2*q, -3*c - 5 = 5*q. Let h(t) = -t**3 - t**2 - 2*t + 13. What is the remainder when h(0) is divided by c?
3
Suppose 9*x - 8*x - 70 = 0. What is the remainder when x is divided by 4?
2
Let z = -90 - -205. What is the remainder when z/3 - 1/3 is divided by 20?
18
Let z = 32 + -26. Calculate the remainder when 15 is divided by z.
3
Suppose -2*a = -5*b - 31, a + 3*b - 5*b = 14. Let t(u) = -u**2 + 9*u - 1. Calculate the remainder when 20 is divided by t(a).
6
Suppose -5*w - 66 = -21. Let c = 16 + w. What is the remainder when 13 is divided by c?
6
Let p(s) = -s**2 + 16*s - 30. Let b(x) = -3*x**3 + x**2 - 2. Calculate the remainder when b(-2) is divided by p(13).
8
Suppose 3*z - 3*w + 12 - 147 = 0, 2*z + 3*w = 90. What is the remainder when 176 is divided by z?
41
Suppose 3*v = 4*v - 4. Calculate the remainder when (12/18)/(v/18) is divided by 1/((-3)/2 + 2).
1
Suppose 5*i = 5*t - 40, -i + 2*i + 3 = -4*t. Let q = 9 + i. Calculate the remainder when (0 + (-51)/(-6))*q is divided by 5.
2
Let f(p) = p**3 + 12*p**2 + 10*p - 8. What is the remainder when 6 is divided by f(-11)?
0
Suppose 5*o - 57 = -7. What is the remainder when 28 is divided by o?
8
Suppose 55 = -4*q + 271. Calculate the remainder when q is divided by 28.
26
Let u(b) = b**2 + 10*b + 11. Let d be u(-9). Suppose 0 = d*a - 0 - 48. Suppose 4*f - 67 = -4*q - f, -q + 7 = -2*f. What is the remainder when a is divided by q?
11
Let l = -12 - -19. Calculate the remainder when ((-5)/2)/((-2)/16) is divided by l.
6
Suppose 0 = k + 6 - 2. Let v(a) = 4*a + 6. Let f be v(k). What is the remainder when (f/(-4))/(2/20) is divided by 9?
7
Calculate the remainder when 21 is divided by ((-24)/(-9) + -7)/(2/(-6)).
8
Suppose -3*c - 3*n = -60, c = 5*c + 5*n - 82. Calculate the remainder when 71 is divided by c.
17
Let l = -28 - -51. What is the remainder when l is divided by 9?
5
Suppose -4*o - 6*x = -2*x - 100, -5*o - 4*x + 130 = 0. Calculate the remainder when o is divided by 8.
6
Suppose -3*s = -59 - 289. What is the remainder when s is divided by 39?
38
Let w(x) = -x**2 - 4*x + 2. Let j(y) = 2*y**2 + 9*y - 5. Let u(m) = -3*j(m) - 7*w(m). Calculate the remainder when 25 is divided by u(3).
12
Suppose 88 = -3*t + 4*t. What is the remainder when t is divided by 32?
24
Let r(v) = 6*v**2 - 9*v - 16. What is the remainder when r(-3) is divided by 17?
14
Let i(x) = -2*x**3 - x**2 + 3*x - 1. Suppose -3*s + s + 36 = 0. Calculate the remainder when i(-3) is divided by s.
17
Let x(y) = -y - 5. Let b be x(-5). Let o(r) be the third derivative of -r**4/24 + 47*r**3/6 + 2*r**2. Calculate the remainder when o(b) is divided by 16.
15
Let n(i) = i**2 + 5. Let a be n(0). Suppose 31 = a*s - 14. Calculate the remainder when s is divided by 5.
4
Suppose -7*l = -27*l + 1200. What is the remainder when l is divided by 32?
28
Let z(d) = -6*d**3 + 8*d**2 - d - 4. Let n(y) = -5*y**3 + 9*y**2 - y - 5. Let h(o) = 7*n(o) - 6*z(o). What is the remainder when 15 is divided by h(-15)?
3
Let s(a) = -9*a - 3. Let h = -7 + 4. Calculate the remainder when s(h) is divided by 13.
11
Let r be (-5*3)/(1/(-2)). What is the remainder when 29 is divided by r*((-15)/(-6))/5?
14
Let o = 92 - 9. What is the remainder when o is divided by 42?
41
Let f = -7 + 2. Let p = -18 - -33. Let o = f + p. What is the remainder when 18 is divided by o?
8
Calculate the remainder when 137 is divided by (2/(-6)*56)/(2/(-3)).
25
Suppose 3*i - 4*x + 11 = 0, 5*x + 0*x + 20 = 0. Let m = i + 13. Calculate the remainder when 11 is divided by m.
3
Let v = -32 + -4. Let r = -24 - v. What is the remainder when r is divided by (3 + -1)*(-14)/(-4)?
5
Suppose -u = -3, 3*u + 91 = 5*x - x. What is the remainder when x is divided by 7?
4
Let y(m) = 2*m - 10. Let i be y(7). Let h be (5/i)/(3/12). Suppose 4*s + 5*x = 18, h*s - 14 = 2*x - 4*x. Calculate the remainder when 6 is divided by s.
0
Let c be ((-