What is the remainder when 24 is divided by f?
11
Let z = 4 + -3. Let i be (6 - 4) + z + 1. Suppose 0 = u - i*u + 6. Calculate the remainder when 5 is divided by u.
1
Let u(o) = -o + 1. Let t be u(-2). Suppose -2*w + 0 + 3 = 3*f, t = w. Let l = f - -12. What is the remainder when 32 is divided by l?
10
Suppose -16*a + 22 = -14*a. Suppose 0 = -0*o + 2*o - 148. Suppose 5*g - 5*y - 160 = 0, -2*y - 18 = 2*g - o. Calculate the remainder when g is divided by a.
8
Suppose 6*j = 3*j + 348. Calculate the remainder when j is divided by 17.
14
Suppose 4*d - 6*d = -14. What is the remainder when 2/(-3) + (-504)/(-27) is divided by d?
4
Suppose a + 42 = 3*a. Calculate the remainder when a is divided by (0 - -3)/((-24)/(-64)).
5
Let q(b) = 3 + b + 7 - 5. Let p be q(-5). Let g(w) = w**3 - w + 6. What is the remainder when g(p) is divided by 4?
2
Suppose 6*b - 5*b - 9 = 0. Let o = b - 5. Suppose -51 = -3*f - 5*d, -f - o + 21 = -5*d. Calculate the remainder when 32 is divided by f.
15
Suppose 0 = 4*b + 2*t - 18, 0*b + 5*t = 5*b. Suppose 5*a = b*z + 87, 3*a = -z + 22 + 33. Suppose -l + a = l. What is the remainder when l is divided by 5?
4
Let c = -10 - -14. What is the remainder when 11 is divided by c?
3
Let g = 1 + 4. What is the remainder when 17 is divided by g?
2
Let o = 134 + -59. Suppose 4*b - o = -b. Calculate the remainder when 28 is divided by b.
13
Suppose 2*q = q + 34. Let b = -18 + q. Calculate the remainder when 61 is divided by b.
13
Suppose 2*p - 6 = -5*w + 71, 3*w + 2*p = 47. What is the remainder when 531/12 - 7/28 is divided by w?
14
Let z = -10 + 6. Let d = 4 + z. Suppose 0 = -2*j - d*j + 38. What is the remainder when 56 is divided by j?
18
Suppose -4*s - 3*g = -11, 2*s + g + 2 - 7 = 0. Suppose s*d = -d + 6. Suppose f = 2*f - d. Calculate the remainder when 2 is divided by f.
0
Suppose -49 - 77 = -2*k. Suppose -3*z + 4*z = 33. Calculate the remainder when k is divided by z.
30
Let c = -56 - -74. Calculate the remainder when 49 is divided by c.
13
Suppose 80 = 5*m - 110. Calculate the remainder when m is divided by 13.
12
Let n(p) = 4*p - 2*p + 3 + 8*p**2 - 3*p + 4*p. What is the remainder when n(-2) is divided by 10?
9
Suppose -3*y + 17 = -94. Let z(a) be the first derivative of a**3/3 + 3*a**2/2 - 5*a + 1. What is the remainder when y is divided by z(-6)?
11
Suppose 5*j + r - 334 = 5*r, -2*j + r + 136 = 0. Let m(q) = q**3 + 6*q**2 - 3*q + 6. What is the remainder when j is divided by m(-6)?
22
Let w = 73 + -52. Let u(p) = -p**2 - p - 4. Let j(q) = -3*q**2 - 2*q - 7. Let z(v) = -3*j(v) + 5*u(v). What is the remainder when z(3) is divided by w?
19
Suppose 4*z + 119 - 27 = 0. Let r = 39 + z. What is the remainder when r is divided by 6?
4
Let h(g) = g**3 - 2*g**2 - 3*g + 5. Let t be h(4). Let y = t - 13. Calculate the remainder when y is divided by 7.
5
Let n(c) = c**2 - c - 1. Suppose -5*x + 4*t = 0, -3 - 9 = -2*x + 4*t. Let o be ((-2)/x)/(6/(-12)). Calculate the remainder when n(o) is divided by 1.
0
Suppose -20*k + 545 = -17*k - 5*q, 3*q = 3*k - 555. Calculate the remainder when k is divided by 49.
43
What is the remainder when 22 - (2 + -3)*2 is divided by 3/(30/9 + -3)?
6
Let i = -174 + 25. What is the remainder when (-2)/(-10) + i/(-5) is divided by 8?
6
Suppose 12 = -4*l + 7*l. Calculate the remainder when 2*(l - (-1)/(-1)) is divided by 3.
0
Let z(t) = t**2 + 5*t + 15. Let g(y) = 1. Let x(w) = -6*g(w) + z(w). Let m = -2 + 6. What is the remainder when x(-6) is divided by m?
3
Let k(r) = -r**2 + 11*r - 12. Let v be 22/(-2) + 3 + -1. What is the remainder when -4*6/v*6 is divided by k(9)?
4
Let j(x) = -4*x - 6. Let d be j(-6). Let u = 32 - d. Calculate the remainder when 81 is divided by u.
11
Let i(v) = v**2 - 5*v. Let l be i(5). Suppose l*u - 16 = -4*u. What is the remainder when 11 is divided by u?
3
What is the remainder when 91 is divided by 22 + 1 - (2 - 2)?
22
Let m = 44 - 30. Calculate the remainder when m is divided by 5.
4
Let x(r) = r**2 + 16*r + 11. Let z be x(-13). Let u = 54 + z. Calculate the remainder when 50 is divided by u.
24
Let f(v) = v**3 + 2*v**2 + v + 1. Let h be f(-2). Let b(g) = 16*g**2 + 2*g + 2. Calculate the remainder when 63 is divided by b(h).
15
Let w be 11/3 - (-2)/(-3). Let h = -5 - w. Let s = -5 - h. Calculate the remainder when 7 is divided by s.
1
Let f = -37 + 42. What is the remainder when 11 is divided by f?
1
Suppose 4*d + b + b = 60, -3*d + 4*b + 23 = 0. What is the remainder when 77 is divided by d?
12
Let q(b) = 7*b**3 - 3*b**2 + 17*b - 6. Let v(d) = -8*d**3 + 2*d**2 - 18*d + 6. Let z(n) = -7*q(n) - 6*v(n). Calculate the remainder when z(7) is divided by 14.
13
Let w(x) = 5*x + 6. Let y be w(6). Calculate the remainder when y - (3 - 0)*1 is divided by 18.
15
Let g = 3 + -3. Suppose 11 = -g*d + 5*d - 4*r, -r = 2*d - 7. Suppose -d*u = -2*m + 24, -5*u + 85 = 2*m + 3*m. What is the remainder when 27 is divided by m?
12
Let f = 1 + -1. Suppose f*i = 2*i - 36. Let y = i + 19. Calculate the remainder when y is divided by 13.
11
Let r = -7 - -21. Let y(g) = -7*g - 2. Let u be -4*(9/2 - 3). What is the remainder when y(u) is divided by r?
12
Let j(v) = -18*v. Suppose 0 = -4*u + 1 - 9. Suppose -d = 4*d - 5, -n - 4*d = -17. Calculate the remainder when j(u) is divided by n.
10
Let l(r) = 10*r**2 + 2*r. Calculate the remainder when 33 is divided by l(1).
9
Let f = -2 - -4. Suppose 9 - 5 = f*c. Suppose -6*d + 2*d + 2*t = -64, -36 = -2*d + c*t. What is the remainder when 26 is divided by d?
12
Let d be (-2)/(-1) - (2 + -11). Let b = -7 + d. What is the remainder when 6 - (1 - (0 + 1)) is divided by b?
2
Let a(z) = 2*z**2 - 5*z + 5. Calculate the remainder when (-9)/12 + 254/8 is divided by a(4).
14
Let g be (-1)/(-3) - (-14)/(-6). Suppose 2*a - 3*v = 62, -5*v + 4*v = 0. Calculate the remainder when a is divided by -1*2*11/g.
9
Let q be (-10)/2*152/(-20). Suppose -2*r + q = -78. What is the remainder when r is divided by 15?
13
Suppose -28*z + 25*z = -33. What is the remainder when 21 is divided by z?
10
Suppose 5*l - 3*n = -45, -3*n = 2*l + n + 18. Let r = l - -18. Suppose 0 = -2*g + 4*c + 6, -4*g - g + c = -24. What is the remainder when r is divided by g?
4
What is the remainder when 5 is divided by ((-50)/15)/2*-3?
0
Calculate the remainder when ((-14)/(-6))/(4/24) is divided by 6.
2
Let n = -1 + 5. Suppose n*c - 4*w = 20, -3*c = -0*c + w - 27. Calculate the remainder when 23 is divided by c.
7
Let g(w) = 51*w - 1. Calculate the remainder when g(2) is divided by 17.
16
Let h = -3 + 3. Suppose 3*c - 56 + 11 = h. What is the remainder when 42 is divided by c?
12
Suppose -2*u = -2*y - 2, 0 = u - 0*y - 2*y + 3. What is the remainder when 6 is divided by u?
1
Let k(g) = -g**2 + 11. Let c = 12 + -12. Calculate the remainder when 32 is divided by k(c).
10
Suppose 2*c = 4*r + 4*c - 376, 2*c - 8 = 0. What is the remainder when r is divided by 31?
30
Let v be 2 + (-3 - -3) + 1. Suppose f + 5*w = 79, 30 = f - v*w - 65. Calculate the remainder when f is divided by 30.
29
Let u(g) = -6*g**3 + 2*g + 1. Let x be u(-1). Suppose x*v - c = -44, 5*c = -3*v - 1 - 3. Let o = v + 19. What is the remainder when 31 is divided by o?
9
Suppose -10*c + 3*c + 154 = 0. Let y = -11 - -19. What is the remainder when c is divided by y?
6
Let o = 61 - 33. What is the remainder when o is divided by 370/25 - (-2)/10?
13
Suppose -4*v - 4*m = -28, 3*v - 6*v - 4*m + 24 = 0. Calculate the remainder when v is divided by 3.
1
Let o = -17 - -26. Calculate the remainder when 12 is divided by (o/(-6))/(3/(-14)).
5
Suppose -3*j + 3*r - 129 = 0, 4*j - 25 = -5*r - 161. Let q = j + 56. What is the remainder when q is divided by 6?
5
Let n(c) be the third derivative of c**4/24 + c**3/6 + 2*c**2. Let b(z) = z + 22. Calculate the remainder when b(0) is divided by n(7).
6
Let t = 5 - 2. Suppose 5*m = -10, 0 = t*u - 0*u + 3*m - 72. Calculate the remainder when 50 is divided by u.
24
Suppose -4*y + 40 = y. Let b(k) = -k**3 + 9*k**2 - 8*k + 10. Let l be b(y). Let h = l + -5. Calculate the remainder when h is divided by 3.
2
Let k(t) = 2*t**3 + 24*t**2 + 28*t + 9. Let o(r) = r**3 + 12*r**2 + 14*r + 5. Let q(l) = 2*k(l) - 5*o(l). What is the remainder when q(-11) is divided by 7?
5
Let u(v) = 11*v**3 - 6*v**2 + 8*v. What is the remainder when u(2) is div