p(d) = d**3 + 7*d**2 - 8*d - 4. Let h be p(-8). What is the remainder when (-209)/h - 2 - (-2)/(-8) is divided by 15?
5
Suppose 5*w - 50 = -0. Suppose 0 = -o, o + 201 = 3*z - 0*o. Calculate the remainder when z is divided by ((-2)/w)/((-3)/255 + 0).
16
Calculate the remainder when 1157 is divided by (12 + -20)/(-4 - 54/(-15)).
17
Let f(p) = p**3 + 5*p**2 - 7*p + 6. Let i be 39 + 1 + 3 - 0/2. Suppose i = 4*t - 3*t. What is the remainder when t is divided by f(-6)?
7
Suppose 0*o - 4*o + 136 = 0. Suppose 127 = 2*g - 61. Suppose -6*q + q + g = -2*z, -4*z = 3*q - 46. Calculate the remainder when o is divided by q.
16
Suppose 960 = 14*a - 4*a. Calculate the remainder when a is divided by 21.
12
Suppose 0 = -2*k - 3 + 31. Suppose u - k = -4. Calculate the remainder when u is divided by 5.
0
Let t be (1493 - 3)/5 + 0. Suppose -v + t = q, 1186 = 4*v + 2*q - 0*q. Suppose 7*y = 2*y + v. What is the remainder when y is divided by 20?
19
Suppose -6*p - 4*d = -3*p - 471, p - 4*d - 141 = 0. Let x = p + -143. Calculate the remainder when 98 is divided by x.
8
Let o(n) = n**3 - 7*n**2 + n + 12. Let b = 7 + -14. Let z(t) = -12*t + 8. What is the remainder when z(b) is divided by o(7)?
16
Suppose 2*o + z = 178, -4*z - 98 = -3*o + 147. What is the remainder when o is divided by 9?
6
Suppose 0 = -2*w - w. Let t be (-6)/(-3) + -3 + 45. Suppose w = 3*f + 17 - t. What is the remainder when f is divided by 6?
3
Suppose -34 = -3544*v + 3543*v. What is the remainder when 2345 is divided by v?
33
Suppose 286*v + 1968 = 298*v. Calculate the remainder when v is divided by 59.
46
Let y = 7 + 5. Let j(k) = -5 - 11 - 4 - 3*k + y*k. What is the remainder when j(11) is divided by 20?
19
Suppose 12 - 28 = 2*o. Suppose 4*w + 60 = 4*l, -2*l - 8 + 0 = 0. Let s = o - w. Calculate the remainder when 32 is divided by s.
10
Let a be ((-66)/(-4))/(6/(-40)). Let m be a*(-2 + 0) + 2. Calculate the remainder when m/10 + (-4)/20 is divided by 8.
6
Let j be 5 - (0 - (-4*1)/4). Suppose -j*i + 343 = 3*i. What is the remainder when i is divided by 17?
15
Let z be (-5)/(-15) + 5/3. Suppose -z = -5*p + 3. Calculate the remainder when p is divided by (0 - -2) + -2 + 1.
0
Suppose -4*s = z + 1, 0 = -2*z - 8*s + 6*s + 10. Calculate the remainder when 3 + (2 - -39) - -3 is divided by z.
5
Let b = -9 - -12. Suppose 2*n - 3 = b. Suppose -1 - 2 = -n*r, 0 = -h + 3*r + 8. Calculate the remainder when 21 is divided by h.
10
Let a(o) = o**3 - 15*o**2 - 43*o - 25. What is the remainder when a(18) is divided by 46?
35
Let q = 0 + 1. Suppose 3*m - 229 = -q. Suppose -m = -2*d - 0*d + p, -d - p = -38. Calculate the remainder when d is divided by 13.
12
Let g(b) = 8*b**2 - b + 1. Let y be g(6). Suppose 4*p + 3*r = -391, -4*p - 98 - y = r. What is the remainder when 3/((-9)/p)*3 is divided by 24?
22
Let b(p) = p**2 - 15*p - 18. Let v be b(16). Let w be v/6 + 8/(-3). Calculate the remainder when (3 + w + -1)*-11 is divided by 6.
5
Let r = -496 - -503. Calculate the remainder when 81 is divided by r.
4
Let u = 606 + -454. What is the remainder when u is divided by 5?
2
Suppose -4*s + d + 3*d = 0, -2*s + 15 = 3*d. Suppose s*m = m. Suppose -k - 4 = -4*c, 3*c + 1 + m = k. Calculate the remainder when 62 is divided by k.
14
Suppose -2*x + 132 = -h, -25*h + 28*h + 128 = 2*x. What is the remainder when x is divided by 23?
21
Suppose 4*d + 310 = 2*l, d - 2 = -5. Let z(b) = b**3 + 8*b**2 + 5*b + 5. What is the remainder when z(-6) is divided by (-11)/(-66) + l/6?
22
Suppose 0 = 8*k - 6*k - 22. What is the remainder when 39 is divided by k?
6
Suppose b = 5*b + 4. Let j be 6*((-6)/(-9) + b). What is the remainder when 70 is divided by (-1)/((j - 1)/54)?
16
Suppose -2*h = 5*a - 1366, 4*a - 1375 = -a - 5*h. Calculate the remainder when a is divided by 20.
12
Suppose -c - 4*g - 6 = -3*g, -5*c = -g + 42. Let i = c - -8. Suppose -5*x + 4*w - 11 = 0, i = -5*x + w + 1 - 0. Calculate the remainder when 1 is divided by x.
0
Let y = 11 + -18. Let g(m) = -m**2 - 12*m + 15. Let r be g(y). Suppose -s = s - r. What is the remainder when s is divided by 13?
12
Let g = 90 - 56. What is the remainder when 101 is divided by g?
33
Suppose -11*f = -7*f - 356. Suppose 93*j - 32 = f*j. Calculate the remainder when 13 is divided by j.
5
Suppose 60*i = 59*i + 4. Calculate the remainder when 134 is divided by (-1 + 3 + 2/i)*14.
29
Let t(y) = -15*y - 5. Let h(q) = -7*q - 3. Let f(c) = -13*h(c) + 6*t(c). Let l be f(-10). Calculate the remainder when 10 is divided by 50/8 + l/4.
4
Suppose -130 = 96*a - 101*a. Calculate the remainder when 40 is divided by a.
14
Let g be 0 + 0 + (-12 - -12). Suppose g = -c + 16 - 2. What is the remainder when 16 is divided by (c/(-1))/(1*-2)?
2
Let p = 337 - 203. Calculate the remainder when p is divided by 17.
15
Let x = 1 - -16. Let z(b) = -27*b + 172. Calculate the remainder when x is divided by z(6).
7
Let t be (118/(-8))/(2/(-8)). Suppose -31*y + 114 = -34*y. Let p = t + y. What is the remainder when p is divided by 12?
9
Let y be 50/(-16) + (-16)/(-128). Let i be y/(-5) + 1094/10. Suppose -5*s = -i - 35. What is the remainder when s is divided by 8?
5
Let d = 748 + -517. Let p = -214 + d. Calculate the remainder when p is divided by (3/2)/(1/6).
8
Calculate the remainder when 48 is divided by -63 + 84 - (4 + -1 - 1).
10
What is the remainder when 321 is divided by (216/(-135))/(2/(-45))?
33
Let r(h) = 160*h**2 - 43*h + 90. What is the remainder when r(2) is divided by 34?
32
Suppose 0 = 2*w - 3*q - 213, 0*w + 433 = 4*w + q. Calculate the remainder when w is divided by 14.
10
Let n(u) = 9*u**3 + 5*u**2 - 8*u - 7. What is the remainder when n(3) is divided by 43?
42
Suppose -c + 3*g + 3 = 0, 3*c - 12 + 3 = -4*g. Calculate the remainder when 115 is divided by c + (-40)/(-4) + 4.
13
Suppose -16 = -4*z, 4*z = -2*g - 23 + 117. What is the remainder when 106 is divided by g?
28
Calculate the remainder when (2/6 - 1)/(1/(-93)) is divided by -2 + (-396)/(-48) + 3/4.
6
Suppose 0 = 4*q - 33*u + 37*u - 1300, 0 = -q - 5*u + 337. What is the remainder when q is divided by 66?
58
Let i(c) = c**3 - 10*c**2 + 10*c. Let k(t) = t + 14. Let a be (-4 - (-17)/3)*-3. Let d be k(a). What is the remainder when i(d) is divided by 6?
3
Let m be 1812/44 - 6/33. Let p = m - 19. What is the remainder when -1 + (512/(-4))/(-2) is divided by p?
19
Let o(y) = -25*y - 24. Let j = 62 + -64. What is the remainder when 97 is divided by o(j)?
19
Let q be 2 - 26/(-22) - 8/44. What is the remainder when 14 is divided by (-9)/(-12)*6 + q/2?
2
Let r = -15 - -18. Suppose 2*x - 21 = r*i + 5, -4*i = 8. Calculate the remainder when x is divided by 3.
1
Let k = 5 - 2. Suppose -4 = -5*u + 6. Suppose 3*m = -5*w + 60, -w - 2 = -u*m - 1. What is the remainder when w is divided by k?
0
Suppose -2*x + 65 = 3*x. Let q = -46 - -71. Calculate the remainder when q is divided by x.
12
Suppose -4*r = -49 - 23. Let g = -1 + r. Calculate the remainder when (-6)/(-7) - 1 - 2320/(-70) is divided by g.
16
Suppose 0 = j + 2*p - p - 16, 0 = 3*j - p - 28. Suppose 490 = -j*o + 21*o. Calculate the remainder when o is divided by 148/6 + (-1)/(-3).
24
Suppose -276 = -811*r + 799*r. What is the remainder when r is divided by 8?
7
Let i(z) = 2*z + 3. Let k be i(5). Let o(w) = -11*w - 6 - 4*w**2 - 17 + 5*w**2 - 9 + 20. Calculate the remainder when o(k) is divided by 5.
4
Let h(z) = z + 20. Let q be h(0). Suppose q = 3*v - 2*v. Suppose 3*j - v = -j. Calculate the remainder when 9 is divided by j.
4
What is the remainder when 275 is divided by (-5 - -86 - 3) + -9?
68
Suppose 5*i - 1 = 9. Suppose -c = -2*a - 3*a - 14, -5*a = 5*c - 10. Suppose 3*u = -c*q + 7*u - 4, 4*u - 12 = 0. What is the remainder when q is divided by i?
0
Suppose 2*n = -4*t + 178, 2*t = 7*t + n - 227. What is the remainder when 275 is divided by t?
45
Let r be 2/2 - 2*(-36 + -4). Suppose -4*y = 5*y - r. Suppose -w = -3*f - 1, -w + 2*f + 2*f = 0. Calculate the remainder when y is divided by w.
1
Let t(b) = 2*b**3 + 2*b**2 - 1. Suppose 0 = 5*p - 14 + 4. Suppose -3 = 2*y - y - 2*n, -p*y = -n. What is the remainder when t(y) is divided by 1?
0
Let o = 2219 + -1533. Calculate the remainder when o is divided by 23.
19
Let k(h) = -13*h + 147. What is the remainder when k(-4) is divided by 12?
7
Let a(q) = q**2 + 25*q + 161. 