divided by 6?
5
Let t = -101 - -142. What is the remainder when (-144)/(-96) - (-314)/4 is divided by t?
39
Suppose 0 = -y + 4*i + 275, 28*i - 25*i = 4*y - 1074. Calculate the remainder when y is divided by 30.
27
Suppose -2*w + 31 - 1 = 0. Let u = 51 - w. What is the remainder when u is divided by 24?
12
Suppose 27*g + 102 = 28*g. What is the remainder when g is divided by 42?
18
Suppose 41 = 2*q + 2*o - 7*o, 3*q - 94 = o. Let g = q + -17. Calculate the remainder when g is divided by 6.
4
Suppose -g + 5*i = 7 - 57, 0 = -g + i + 62. Let l = -60 + g. Calculate the remainder when 18 is divided by l.
3
Suppose 3*z = -5*c + 105, -5*z + 192 - 45 = -c. Calculate the remainder when z is divided by 4 + 7 - (0 - -3).
6
What is the remainder when 1025 is divided by (-157 - -214) + 0/(-1) + -3?
53
Let p = 268 + -266. What is the remainder when 23 is divided by p?
1
Let l(t) = -t + 3*t**2 - t**3 + 99 + 32 - 60. Calculate the remainder when l(0) is divided by 24.
23
Let p(m) = 3*m**2 - m - 4. Let b be p(2). Suppose -4*z + 62 + b = -3*h, 0 = -5*h. What is the remainder when 201 is divided by z?
14
Calculate the remainder when 165 is divided by (-12 - -4) + 27 + 12.
10
Let m = -11 - -10. Let w be 12/(-3) - m - -8. Suppose -5*t = -w - 10. What is the remainder when 7 is divided by t?
1
Let n = 3 + 64. Let v = -70 + 24. Let h = v + n. Calculate the remainder when 40 is divided by h.
19
Suppose -2*y = 5*f - 293, 42*y = 3*f + 39*y - 159. What is the remainder when f is divided by 5?
2
Let h = 23 - 8. Suppose 0 = -j - t + 8, 3*j = -t + 3 + h. Suppose j*k - 4*k - 33 = 0. Calculate the remainder when k is divided by 17.
16
Let r = -28 + 37. Let z = -17 + 61. What is the remainder when z is divided by r?
8
Suppose 4*f - 3*c = 8, 4*f - 8 = -0*f + 2*c. Let t = f + 34. Calculate the remainder when t is divided by 13.
10
What is the remainder when 425 is divided by 7/(-56)*2 + 1715/28?
59
Let z(q) = q**3 - 6*q**2 + 8*q - 12. Let f be z(5). Suppose -f*l + 34 = -0*x + 2*x, -2*l = -3*x - 1. What is the remainder when 23 is divided by l?
7
Suppose w - 3*w = -8, 3*c - 330 = 3*w. Calculate the remainder when 448 is divided by c.
106
What is the remainder when 4/6 - (11000/(-33) + 8) is divided by 15?
11
Suppose -560 = -22*y + 12*y. Calculate the remainder when 108 is divided by y.
52
Let q(p) = p**3 + 14*p**2 - 17*p - 19. Suppose 0 = -6*u - 30 - 60. What is the remainder when 29 is divided by q(u)?
7
Suppose 4*c - 4*j = -c + 100, -5*j = -c + 41. Suppose -i + b + 74 = 0, -6*b = -3*b - 12. What is the remainder when i is divided by c?
14
Let x(j) = -36*j + 22. Let r be x(-5). Suppose 0 = 3*h + d - 148, 4*h = -0*h + d + r. Suppose 0 = 3*o - o - 26. Calculate the remainder when h is divided by o.
11
Suppose 3*l = -s + 220, -5*l + 9*l - 3*s - 315 = 0. Calculate the remainder when 232 is divided by l.
7
Suppose -4*z = 3*j - 3*z - 55, 3*z + 69 = 4*j. Calculate the remainder when 44 is divided by j.
8
Suppose 0 = -m + 2*z - 4, 0 = -z - 4*z + 15. Let p be (m + -1)/(1 + -2). Calculate the remainder when 13 is divided by (-85)/51*(-4 - p).
3
Let i(x) = -14*x + 6. Let c be i(6). Suppose 0 = -7*o + 79 - 58. Calculate the remainder when o/(-6) + c/(-4) is divided by 11.
8
Suppose -k - 1 + 6 = -4*u, k = -4*u + 21. Suppose 5*w - 34 - 71 = 0. Calculate the remainder when w is divided by k.
8
Let f = -4869 - -6934. What is the remainder when f is divided by 47?
44
Let p = 2 + 16. Suppose 4*w + 0*n = -2*n - 2, -w - 4*n = 18. Suppose 5 = -3*y - w*j + 211, -y + 76 = -3*j. What is the remainder when y is divided by p?
16
Let t = -16 - -42. Let k(q) = -35*q**3 + 3*q**2 + 4*q. Let u be k(-1). Suppose s = 134 - u. Calculate the remainder when s is divided by t.
22
Let w = 48 - -20. Suppose -8*c - 14 = -9*c. Calculate the remainder when w is divided by c.
12
Let b(f) = -f**3 - 9*f**2 - 26*f - 14. Let m = 105 + 64. What is the remainder when m is divided by b(-6)?
33
Suppose 4*i - 33 - 27 = -4*y, -5*i + 51 = -y. Let o = -15 - -35. Calculate the remainder when o is divided by i.
9
Let t(n) = -n**3 - 39*n**2 + 38*n + 2. Suppose 0 = -3*o + 4*r + 22, -52 = -4*o + o - 2*r. Calculate the remainder when t(-40) is divided by o.
12
Let k = -8 - -13. Suppose 4*a = -3*c + 17, k*c - 30 = -5*a - 0*a. Let r = 52 - 27. What is the remainder when r is divided by c?
4
Let w(n) = 3*n - 12. Let d be w(15). Suppose -4*y = -85 + d. Calculate the remainder when 29 is divided by y.
3
Let l(s) = s**3 - 12*s**2 + 10*s - 9. Let m be l(11). What is the remainder when (2/m*-16)/(4/260) is divided by 27?
23
Let t = -460 - -517. Calculate the remainder when 135 is divided by t.
21
Let a = 144 + -130. What is the remainder when 25 is divided by a?
11
Let r be -4 - (-12)/((-3)/(-1)). Suppose 14*s - 9*s - 40 = r. Suppose -4*h = -s*h + 440. What is the remainder when h is divided by 28?
26
Let m(j) be the first derivative of -j**3/3 - 5*j**2 + 10*j - 10. What is the remainder when 28 is divided by m(-10)?
8
Let q(v) = -6*v - 4. Let b = -7 + 3. Let t(x) = x**3 + 6*x**2 - 7*x + 7. Calculate the remainder when q(b) is divided by t(-7).
6
Suppose 0 = -3*o - 2*g + 253, -5*g = -4*o + o + 218. Calculate the remainder when o is divided by 24.
9
What is the remainder when 28/7 - 1/((-1)/70) is divided by 11?
8
Suppose -i - 2*i = -18. Calculate the remainder when (-8)/20 + 294/10 is divided by i.
5
Calculate the remainder when 165/110*(-184)/(-6) is divided by 7.
4
Suppose 4*z + 5*p - 2 = -6, p + 12 = 2*z. Let r = z + -15. Let t = r + 19. Calculate the remainder when 14 is divided by t.
6
Suppose -2*w + w - 2*m = -1, -2*m = -3*w - 5. Let a = w - -7. Suppose 3*u + 3*x - 16 - 5 = 0, 5*x - 20 = -2*u. Calculate the remainder when a is divided by u.
1
Let g(z) = z + 25. Suppose -3*q = 3*f, -4*q = -3*f - 2*q. Let l = -175 - -189. Calculate the remainder when g(f) is divided by l.
11
Let c = 623 - 605. What is the remainder when 123 is divided by c?
15
Suppose 23*m + 3 = 24*m - 2*f, -12 = -2*m + f. What is the remainder when 94 is divided by m?
3
Suppose -5*i + 5380 = 5*g, 2*i - 16 = -4*g + 2132. What is the remainder when i is divided by 23?
20
Let i = -13 + 19. Let r(s) = s**3 - 6*s**2 + 5. Let u be r(i). Suppose 5*p = -4*j + 43, u*p + 3 + 2 = 0. Calculate the remainder when 35 is divided by j.
11
Let k be (11/(-2))/((-4)/(-8)). Let c(p) = -2*p - 17. Calculate the remainder when c(k) is divided by 2.
1
Suppose -4*d + 8 = -0*d. Suppose d*f = -2*f + 16. Calculate the remainder when 13 is divided by f.
1
Suppose 20 = -3*a - 4*c, 32 = -3*a + 2*c - 3*c. Suppose 0 = -4*p + 78 + 6. What is the remainder when 1102/18 - a/(-54) is divided by p?
19
Let l = -3 - -35. What is the remainder when 91 is divided by 43 - 8/(l/(-12))?
45
Let x = 35 + -27. Let u(a) = a + 8. What is the remainder when 62 is divided by u(x)?
14
Let w = -12 + 15. Suppose -w*s - 4*k = -33, -5*k = -2*s + 35 - 13. Let g(u) = 3*u + 4. Calculate the remainder when g(s) is divided by 19.
18
Let d(o) = o + 2. Let r(l) = 3*l + 5. Let c(n) = -8*d(n) + 3*r(n). Suppose -3*y = -0*y - 12. What is the remainder when c(7) is divided by y?
2
Suppose -3*x - 10 + 34 = 0. Suppose 9*n = 2 - 38. Let c(y) = y**2 - 7*y + 2. What is the remainder when c(n) is divided by x?
6
Suppose -175 = -5*m + 7*g - 2*g, 0 = -m + 4*g + 47. What is the remainder when 433 is divided by m?
30
Let i(l) = l**3 + 8*l**2 + 10*l + 45. What is the remainder when 66 is divided by i(-7)?
18
Let p be 85*(-4 - (1 + 2)*-5). Suppose -p = 16*f - 27*f. Calculate the remainder when f is divided by 43.
42
Let r = 120 - 51. Suppose r = -l - l - n, 3*l + 4*n = -116. Let z = l + 39. What is the remainder when 26 is divided by z?
5
Suppose -v - 4*o + 3 = 4, 0 = 5*v - o - 58. Let n = v + -7. Suppose -20 = 4*l, 73 = n*p - 0*p - l. Calculate the remainder when 83 is divided by p.
15
Suppose i = -4*a + 7, -3*a = 5*i - 21 + 71. Let y = i - -27. Calculate the remainder when y is divided by (-2)/(-5) + 36/10.
2
Suppose k - 1183 = -4*y - y, -4*y - 16 = 0. Calculate the remainder when k is divided by 134.
131
Suppose 11*d - 228 = -4*x + 7*d, 4*x = d + 228. Calculate the remainder when 214 is divided by x.
43
Suppose 18 = 3*m + 2*i - 20, 2*i + 58 = 3*m. Calculate the remainder when ((-11)/(132/(-126)))/(3/18) is divided by m.
15
Let h be (6/2 - -6) + -1