 29 is divided by p.
5
Let f(i) = -5*i + 19. Let c be f(5). Let d(r) = -r**2 - 8*r - 11. What is the remainder when d(c) is divided by 1 + 0 + 0 + 0?
0
Suppose -2*v = 57 + 19. Let a = -27 - v. Suppose 14*x - 24 = a*x. What is the remainder when 22 is divided by x?
6
Let i = -417 - -418. Let v(y) = 8*y**3 + 2*y**2 - 3*y. Let h(a) = a**3 + a**2 - a. Let b(f) = -4*h(f) + v(f). Calculate the remainder when b(1) is divided by i.
0
Calculate the remainder when (90/(-4))/((-28)/112) is divided by 31.
28
Let h(q) = -q**3 - 10*q - 2. Let u(y) = -4*y**3 - 31*y - 5. Let x(i) = 7*h(i) - 2*u(i). Calculate the remainder when x(4) is divided by 15.
13
Suppose -8*o - 342 = -11*o. What is the remainder when o is divided by 9?
6
Suppose -10*o = -12*o + 2. Suppose 2*n = -13 - o. What is the remainder when 7 is divided by 8 + 1 + n + 3?
2
Let l = 307 + -301. What is the remainder when 58 is divided by l?
4
Suppose -5*g - 2 + 8 = 2*d, 4*d = g + 12. Suppose 0 = -5*s + 105 - g. What is the remainder when s is divided by (3 + 56/(-24))*(-1 - -19)?
9
Let t(p) = p**3 + 9*p**2 + p + 20. Calculate the remainder when 31 is divided by t(-9).
9
Let q = 155 + -138. What is the remainder when 24 is divided by q?
7
Suppose -79 = -2*g + 5*a, g + 3*a - 50 = 2*a. Calculate the remainder when 86 is divided by g.
39
Let b(o) = o**3 - 8*o**2 + 10*o - 17. Let l be b(7). Suppose 2*x = -l*p - p + 160, -3*x + 96 = 3*p. What is the remainder when p is divided by 5?
2
Let a = 21 + -23. Let v(x) = 3*x**3 + x**2 + x - 1. Let d be v(1). Let z = d - a. Calculate the remainder when 15 is divided by z.
3
Suppose o - 3*o + 4*g = 2, 0 = 5*o + 2*g - 43. Let j(f) = 19*f**3 - f**2 + f - 1. Calculate the remainder when j(1) is divided by o.
4
Let a be (-2)/5 - (-2)/(20/54). Let d(l) = -l**3 + 7*l**2 + 4. What is the remainder when d(a) is divided by 15?
9
Let q(z) = 7*z**2 + 25*z + 18. What is the remainder when q(-4) is divided by 7?
2
Calculate the remainder when (8/(-12))/((-49)/24 + 2) is divided by 7.
2
Let l = -1303 - -1320. Calculate the remainder when (0 - -47) + (0 - 1) is divided by l.
12
Suppose -4*f = -j - 131, -j = 3*f + 4*j - 127. Suppose -31 = y - 79. Suppose y*o - 18 = 47*o. Calculate the remainder when f is divided by o.
16
Let g(a) = 7*a**2 + 4*a + 10. Suppose -4 = u - 15. Suppose 0 = -3*h + 2*c + 51 - u, 36 = 2*h + c. Calculate the remainder when g(-2) is divided by h.
14
Let k(m) = m**3 - 4*m + 7. What is the remainder when k(5) is divided by 6?
4
Suppose 11 = o - 6. Let f = 20 - o. Calculate the remainder when 11 is divided by f.
2
What is the remainder when 109 is divided by ((8 - 7)/(-2))/(2/(-112))?
25
Let i(r) = r**3 + 8*r**2 - 9*r - 8. Let o be i(-9). Let m(a) = -a**2 - 11*a - 6. Calculate the remainder when 51 is divided by m(o).
15
Let d(k) = -3*k**3 - 6*k**2 - 19*k - 7. What is the remainder when d(-4) is divided by 42?
39
Suppose 5*d - 2 = j + 2*j, 5 = 3*j + 2*d. Suppose -5*v + 17 = m, 5*v - m + j = 14. Let n(f) = 14*f. Calculate the remainder when n(v) is divided by 11.
9
Let s(r) = r + 13. Let m be s(-12). Suppose -2*p - h = -65, -5*p + 4*h - h + 146 = 0. What is the remainder when p is divided by (-4)/20*(m + -56)?
9
Suppose -91*o + 97*o = 192. What is the remainder when 114 is divided by o?
18
Let j = 477 - 214. Calculate the remainder when j is divided by 67.
62
Let r(t) = 2*t - 2. What is the remainder when r(8) is divided by 3?
2
Let r = -16 - -21. Suppose 4*g - 6*z = -z + 255, 2*g - 125 = r*z. Calculate the remainder when g is divided by 34.
31
Suppose 0 = -4*s - 16, 3*f - 2*s = -f + 68. What is the remainder when f is divided by 1?
0
Let v = -1486 + 1512. What is the remainder when v is divided by (0 - -6) + (-6)/(-3)?
2
Let u(k) = -7*k + 2. What is the remainder when 123 is divided by u(-1)?
6
Suppose 3*n - 252 = -3*b, -b - 2*n = -4*b + 267. Calculate the remainder when b is divided by 45.
42
Suppose -7 = -k - 0*k. Let o be (-275)/(-7) + 15/((-630)/12). Suppose o*t + 32 = 41*t. Calculate the remainder when t is divided by k.
2
Suppose -3*a = -9, 5*g = a + 21 + 36. Let r(q) = -2*q + 62. What is the remainder when r(0) is divided by 261/g + 3/(-4)?
20
Let l(f) = 3*f**3 - 17*f**2 + 7*f - 17. Calculate the remainder when 181 is divided by l(6).
59
Suppose 4*d - 2*n + 56 = 0, 0 = -0*d + 5*d - n + 64. Let f = d - -26. Let b(q) = q**3 - q**2 + q + 4. Calculate the remainder when f is divided by b(0).
2
Let u(k) = k**2 - 30*k + 213. Calculate the remainder when 368 is divided by u(25).
16
Let u = 81 + -8. What is the remainder when u is divided by 26?
21
Suppose -31 + 785 = 26*h. What is the remainder when 70 is divided by h?
12
Suppose -5*z = -2*y + 41, 4*z = -3*y - 0*z + 4. Suppose 750 = -5*q + y*q. Suppose 0 = 3*t + 2*t - q. What is the remainder when t is divided by 17?
16
Let y = 40 - 29. Let t(c) = -c**3 + 9*c**2 - 10*c - 14. Calculate the remainder when t(5) is divided by y.
3
Let o(r) = -123*r**3 + r**2. What is the remainder when o(-1) is divided by 42?
40
Suppose 3 = 3*g + 15, 4*q - 4*g = 52. Let z(a) = -a**3 + 9*a**2 + 1. Let o be z(q). Suppose -o = -t + 11. What is the remainder when t is divided by 8?
4
Suppose -4*a - 28 = 4*l, -20 = -a + 6*a + 2*l. Let q(p) = -7*p**2 + p + 2. Let c be q(a). Let n = -19 - c. Calculate the remainder when 35 is divided by n.
8
Let n = -149 - -208. What is the remainder when n is divided by 4/(-54) + (-33604)/(-1674)?
19
Let r(z) = 6*z - 13. Calculate the remainder when r(9) is divided by 2/(-9) + (-800)/(-36).
19
Suppose -55 = 2*m - 13*m. Suppose 0*l - 2*l + 280 = 0. Suppose v + 0*v + 59 = 2*f, -m*f - 5*v = -l. Calculate the remainder when f is divided by 10.
9
Let z(r) = -30*r - 181. What is the remainder when z(-17) is divided by 38?
25
Suppose 4 = -19*g + 20*g. Suppose -5*f + 491 = g*d, 4*d + f = 3*f + 470. Calculate the remainder when d is divided by 24.
23
Let o(v) = -2*v + 1. Calculate the remainder when o(-8) is divided by (-6)/12*-2 + 8.
8
Let u(z) = -z**3 + 17*z**2 - 15*z - 15. Let c be u(16). What is the remainder when 45 is divided by (-7)/(-1) - (-3 + 1 + c)?
5
Suppose -4*w - 20 = -56. Suppose 0 = 3*f - 0*f - 6. Suppose 0*l + f*l = -b + 7, -3*l + 2*b = -28. What is the remainder when w is divided by l?
3
Suppose 0 = 6*x - 10*x + 104. What is the remainder when 70 is divided by x?
18
Calculate the remainder when (1 - -3)*10/(240/606) is divided by 28.
17
Calculate the remainder when -3215*(-1)/20 + (-15)/20 is divided by 53.
1
Suppose 52 = -12*h + 376. Let l(x) = -x + 16. Calculate the remainder when h is divided by l(0).
11
What is the remainder when (40/70)/((-6)/(-546)) is divided by 11?
8
Let l(v) be the second derivative of v**3/6 + 13*v**2/2 + 23*v. Calculate the remainder when 54 is divided by l(6).
16
Suppose 0 = 4*g + 2*h - h + 244, -5*g = -2*h + 305. Let f = -36 - g. Let q(c) = 4*c**2 + 5*c - 4. What is the remainder when q(3) is divided by f?
22
Suppose 0 = 9*x - 3*x - 756. Let v = x - 25. What is the remainder when v is divided by 13?
10
Let o(p) = -p**2 + 40*p + 57. What is the remainder when 286 is divided by o(41)?
14
Suppose -7*u = -u - 66. What is the remainder when 18 is divided by u/4*10*4/10?
7
Suppose 2*z = -a + 14, -4*a + 40 = 4*z + a. Let j(y) = 7*y - 20. Calculate the remainder when 67 is divided by j(z).
7
Suppose 20 = -s + 5*z, -2*s + 5*z = 21 + 4. Suppose 2*a - 113 = -2*a + w, 0 = -3*a - 2*w + 93. Calculate the remainder when a is divided by (-2)/s*(0 + 20).
5
Suppose -4*k + 2*q + 16 = -2*q, 0 = k + q - 10. What is the remainder when (10/(-5))/(46/(-759)) is divided by k?
5
Suppose -5*g = 5*w - 15, 4*g - 14 - 6 = 4*w. What is the remainder when 182 is divided by g?
2
Suppose -4*b = -2*n - 384, -14*n + 16*n + 102 = b. Calculate the remainder when b is divided by 16.
14
Let s be (2/10)/((-15)/75). What is the remainder when 77 is divided by 16/(s*4) + 186/6?
23
Let i = -498 - -895. Calculate the remainder when i is divided by 40.
37
Let p(t) = 3*t + 1. Let g(k) = 3*k**2 - k + 1. Let w be g(1). What is the remainder when p(w) is divided by 5?
0
Let t = 15 + -15. Let k be t*(5 - 16/4). Suppose k = 5*b, 2*b + 14 = w + 2. What is the remainder when w is divided by 4?
0
Suppose -4*f + 14 = 3*n - 2*f, -2*f = -2*n + 6. Suppose -2 = -y + l - 0, -4*l + 24 = n*y. Let t = -2 - -7. What is the re