0 + 4*a**5/15 - 13*a**4/12 + a**3/2 - 12*a**2. Calculate the remainder when o(14) is divided by 17.
14
Suppose 4*x + 5 = i, 4*i + 1 = 4*x - 3. What is the remainder when 78 is divided by (-342)/(-21) - ((-8)/14)/x?
14
Suppose 3*q = -3*a + 69, 4*q = -0*q + 16. What is the remainder when a is divided by -6*(1 - 5/3)?
3
Let t(b) = b**3 - 7*b**2 + 26*b - 14. What is the remainder when t(9) is divided by 26?
18
Let q = -44 + 79. What is the remainder when 242 is divided by q?
32
Let c(r) = -r**2 - 14*r - 4. Let u be c(-11). Let w = u + -25. Calculate the remainder when 39 is divided by w.
3
Suppose 0 = n - 6*n. Suppose n*j = -4*s + j + 239, -4*s = -2*j - 238. What is the remainder when s is divided by 16?
12
Suppose 211*p - 202*p = 108. Calculate the remainder when 167 is divided by p.
11
Let g(v) = 15*v - 23. Calculate the remainder when 64 is divided by g(3).
20
Suppose 3*r + 3*s = 39, 0*r - s - 62 = -4*r. Calculate the remainder when 124 is divided by (-36)/24*r/9*-10.
24
Suppose 3*x - 5*b = 210, b + 263 = -0*x + 4*x. What is the remainder when x is divided by 23?
19
Let u(a) = 16*a**2 - a - 1. Let h be 24/(-20) + (-2)/(-10). What is the remainder when u(h) is divided by 9?
7
Suppose 2*l - 4*b = -l + 74, 95 = 5*l - b. What is the remainder when 3*(160/90)/((-3)/(-18)) is divided by l?
14
Suppose 0 = 4*z - y - 373, -z + 4*y + 9 = -103. Calculate the remainder when z is divided by 7.
1
Suppose 0 = -w + 2*m + 117, 7*w - 3*w = 4*m + 488. Calculate the remainder when w is divided by 68.
59
Suppose 5*h = -4*k + 93, -4*k + 11 = h - 14. Let a = h + -14. Calculate the remainder when 4 is divided by a.
1
Let w(l) = -16*l**3 + l**2 + 2*l. Let v be w(-1). Let g = 28 - v. What is the remainder when 24 is divided by g?
11
Let t = -64 - -87. Let l = 6 - -7. What is the remainder when t is divided by l?
10
Let c = 36 - 23. Let f(s) = -s**3 - 2*s**2 + 2*s. Let x be f(-3). Suppose -2*v + 17 = 7, 185 = 4*z - x*v. What is the remainder when z is divided by c?
11
Let a = 145 + -136. Calculate the remainder when 44 is divided by a.
8
Let o = 1907 - 1717. Calculate the remainder when o is divided by 49.
43
Suppose -27*t + 31*t = 12. Suppose 2*v - 4*v + 2*j = -98, 94 = 2*v - t*j. Let n(c) = -c**2 - 7*c + 1. Calculate the remainder when v is divided by n(-5).
9
Let o = -992 + 1056. Calculate the remainder when 148 is divided by o.
20
Let c(s) = -37*s**3 + s**2 - s - 1. Let p be c(-1). Let n = p + -10. What is the remainder when n is divided by 8?
4
Suppose -2*r = z - 37, z + z + 2*r = 66. What is the remainder when 70 is divided by z?
12
Suppose -4*y + 18 = -2. Suppose -5*h = -5*l + 185, 63 = -3*l - y*h + 198. Calculate the remainder when l is divided by 14.
12
Suppose 51*x + 442 = 55*x + 3*i, 4*x - 440 = -4*i. Calculate the remainder when 554 is divided by x.
106
Let t be (-3)/5*(-8 + -2). Suppose t = y - 2. Calculate the remainder when 8 is divided by (4/(y/(-6)))/(-1).
2
Suppose -12*x + 8*x + 16 = 0. Suppose -a + 10 = x*a. What is the remainder when 3 is divided by a?
1
Suppose -v + 10 = 5*u - 24, -3*u + 5*v = -26. Suppose -u*o + 23*o = 784. Calculate the remainder when 95 is divided by o.
46
Suppose 5 = 5*j - 5. Suppose j*g = -w + 18, -20 = w - 4*g - 68. What is the remainder when w is divided by (2*15/2)/1?
13
Suppose -3*a - 3*s = -4*a - 9, 5*a - 15 = -5*s. Suppose a = 11*n - 6*n + 30. What is the remainder when (n/(-4))/((-42)/(-1624)) is divided by 12?
10
Let c(u) = u**3 - 2*u**2 + 2*u + 1. Let p be c(2). Suppose -3*r + p*i + 72 = 0, -r + 5*i = 4*r - 110. What is the remainder when 53 is divided by r?
15
Suppose -3*p - 1 = 2*f, 3*f - 5 - 3 = 5*p. What is the remainder when 26*(6/4)/f is divided by 1/(-3)*(-6 + -24)?
9
Suppose 3*k - 3*s - 74 - 172 = 0, s = 3*k - 248. Calculate the remainder when k is divided by (-3)/5 - 1368/(-30).
38
Let p(b) = -5*b - 1. Let f be p(-1). Suppose 0 = f*k - 7*k - 9. Let y = 13 + k. What is the remainder when 28 is divided by y?
8
Let r = 673 + -601. Calculate the remainder when r is divided by 64.
8
What is the remainder when (-98)/(-294) - (-1196)/3 is divided by 129?
12
Calculate the remainder when 180 is divided by 7/70 - ((-939)/10 - -1).
87
What is the remainder when 1/((-8)/36360*-9) is divided by 13?
11
Suppose -5*m = -4*f - 15, -3*m + 35 = 2*f + 4. Suppose 2*o - 17 = m. What is the remainder when 82 is divided by o?
10
Let n be (-1302)/(-49) - (12/21 + 0). Suppose 91 = 27*r - n*r. What is the remainder when r is divided by 33?
25
Suppose 0 = -f - 5*w + 133, -4*f - 2*w = -88 - 462. Suppose 5*y + y - f = 0. What is the remainder when y is divided by 2?
1
Let t = 995 - 975. What is the remainder when 238 is divided by t?
18
Let h(s) = -3*s**2 + 21*s + 7. Let c be (3/(-1) - -4)*0. Suppose -4*w + 210 + 2 = c. What is the remainder when w is divided by h(7)?
4
Let y = -708 + 738. Suppose -4*r - 3*x - 18 = 0, -x + 1 = 3. What is the remainder when 34 is divided by 20/y - 19/r?
6
Suppose 3*d - 102 = 45. Suppose d = 4*m - 87. What is the remainder when 135 is divided by m?
33
Suppose -6*m + 10 = -68. What is the remainder when 34 is divided by m?
8
Suppose -3*d + 35 = -4*h, 0 = 29*d - 25*d + 4*h. Calculate the remainder when (-2 - -1) + (-36)/(-3) is divided by d.
1
Let x = -289 - -320. Calculate the remainder when 239 is divided by x.
22
Let v(b) = 5*b**2 - 6*b + 7. Let r be v(3). Suppose -7 - 9 = q. Let m = r + q. Calculate the remainder when m is divided by 4.
2
Suppose -45*o = -99 + 9. Suppose 4*m + 0 = 8. What is the remainder when m is divided by o?
0
Suppose 0 = 3*c + 2*c - 10. Suppose 3*h + 15 = -c*h. What is the remainder when 6 is divided by (-1 + h/(-6))*-4?
0
What is the remainder when ((-140)/(-2))/((-1)/(-1)) is divided by -6 + (8 - 0) + 22?
22
Suppose 2*l = -3*r + 89, -r + 1 = -0*r. Suppose 2*b + 4 = 8. Suppose u + 5*k - 11 = 0, 2*k = -6*u + b*u + 44. Calculate the remainder when l is divided by u.
10
Let i(r) = -25*r - r - 2 + 0 - 3. Calculate the remainder when i(-2) is divided by 1 + (-5)/(5/(-23)).
23
Suppose -5*j = -5*w - 395, -5*w + 78 + 193 = 4*j. Let i(s) = -s**2 - 3*s + 6. Let y be i(-5). Let d = y + 23. What is the remainder when j is divided by d?
17
Calculate the remainder when 389 is divided by 42/(-147) + 914/14.
64
Suppose -3*t = 9*m - 14*m + 2, -2 = -2*t. Calculate the remainder when 131*(-1 + m + -8 + 9) is divided by 33.
32
Let a(w) = w**3 + w**2 + 3*w + 2. Let z be a(4). Suppose -5*v - 14 = -z. Calculate the remainder when 45 is divided by v.
13
Let m(q) = q**3 - 8*q**2 + 2*q + 6. Let f be m(8). Let r be (1*f)/((-14)/(-21)). Calculate the remainder when 8 is divided by r/12 + 1/4.
2
Suppose 4*p + 556 = 4*c, -3*p + 655 = 13*c - 8*c. Calculate the remainder when 2277 is divided by c.
133
Suppose 2*j - 5*k = 81, -2*j = 5*k - 8*k - 87. What is the remainder when j is divided by 21?
6
Suppose 11*x = 12*x - 118. Suppose x*n - 117*n - 49 = 0. Calculate the remainder when n is divided by 13.
10
Suppose -3*n + 3*o = -8*n + 200, -4*n + 128 = -4*o. Calculate the remainder when n is divided by 19.
18
Let z = 2 + 7. Let h be (2 - 1)*(-2 - -2). Suppose n - z - 67 = h. What is the remainder when n is divided by 11?
10
Let h = 26 + -10. Let q = -9 + h. What is the remainder when 25 is divided by q?
4
Let v(p) = 6*p**3 - 31*p**2 - 10*p + 39. What is the remainder when v(8) is divided by 70?
67
Let l(f) = -4*f + 12. Suppose -w = 2*p - 2, 19*p = 14*p + 4*w - 8. Calculate the remainder when 81 is divided by l(p).
9
Suppose 0 = -3*u - u + 3*l + 1224, 0 = -u - 3*l + 291. Calculate the remainder when u is divided by 12.
3
Suppose 4*t + 0*i - 64 = -2*i, -3*t = i - 46. Calculate the remainder when t is divided by 16/5*35/14.
6
Let t(w) = 2*w**2 + 17*w - 22. Let s be t(-17). Suppose 0 = 4*n - 16, -4*n - s = -3*b - 55. What is the remainder when b is divided by 16?
12
Suppose 4*c = -4*r + 648, 2*c + r - 192 = 128. Calculate the remainder when c is divided by 27.
23
Suppose 16 = x + 12. What is the remainder when (-3 + 1 - -3) + x is divided by 2?
1
Let n(f) = -3*f**3 - 2*f**3 - 26099 + 3*f**3 - 4*f**2 - 3*f + 26099. Suppose 3*r + 4 = -5. What is the remainder when n(r) is divided by 15?
12
Let q = 1228 - 1194. What is the remainder when 240 is divided by q?
2
Suppose -3*y - 76 = -4*m, m + 3*y = 6*y + 10. Calculate the rem