Suppose -4830 = -5*m - 2*r, 49*m - 44*m + 4*r = 4820. Calculate the remainder when m is divided by 81.
77
Suppose -2*f + 2*r - 12 = 0, 0*f - 4*f - 3*r - 45 = 0. Let g = 31 + f. Calculate the remainder when 65 is divided by g.
21
Suppose b + 9 - 6 = 0. Calculate the remainder when (30/(-9))/(b/81) is divided by 31.
28
Let w(r) = r**3 - 17*r**2 - 57*r - 16. What is the remainder when 115 is divided by w(20)?
27
Suppose 5*g = 5*b + 110, -2*g + 5*b = g - 74. Let i = -7 + g. Suppose v = 4*c - 43, 3*c - i = -3*v + 10. Calculate the remainder when 28 is divided by c.
8
Suppose 0 = 5*x - 35 - 0. Suppose 0 = -4*n + x*n - 201. Let a = 151 - n. Calculate the remainder when a is divided by 22.
18
Suppose 10*s - 125 - 35 = 0. What is the remainder when 89 is divided by s?
9
Let k be (-1 - 3) + 20 + 19. Suppose 3*a - 6*u = -2*u + k, -26 = -2*a + 2*u. What is the remainder when a is divided by 10?
7
Let d = -76 + 92. Calculate the remainder when 95 is divided by d.
15
Let u = 1070 - 1000. What is the remainder when 273 is divided by u?
63
Suppose 212*m - 208*m - 8 = 0. Let s(h) = -h**2 - 5*h - 3. Let w be s(-5). Let g = 5 + w. What is the remainder when m is divided by g?
0
Suppose 0 = -f + 5*f - 464. Let t = -43 + f. What is the remainder when t is divided by 38?
35
Suppose -2*a + 70 = -t, a - 3*t - 28 = t. Calculate the remainder when 21 is divided by (-6)/(-8) - (-261)/a.
5
Suppose -3*j - 2*a = -5*a + 6, a + 16 = -2*j. Let r = j - -28. Calculate the remainder when 41 is divided by r.
19
Let u be (1 - 0)*(-37)/(-1). Suppose 11*k - 301 = -191. Suppose 0 = z - q - k, -5*z + z + 5*q + u = 0. What is the remainder when z is divided by 7?
6
Suppose 13 + 12 = 5*m. Suppose 0 = 2*n - m*n + 4*x + 42, -n - 2 = 4*x. Suppose 2*c - 22 = r + r, 2*r - 8 = 0. Calculate the remainder when c is divided by n.
5
Let t(v) = -v**3 - 9*v**2 + 20*v + 15. What is the remainder when t(-13) is divided by 9?
8
Suppose -5*s + 12 = -4*v, -5*s - v - 6 = v. Let h = 2 - s. Suppose -3*f = a - 99, -h*f + 55 = -0*f - 3*a. Calculate the remainder when f is divided by 11.
10
Let x = -150 + 105. Let u = x + 77. Calculate the remainder when 60 is divided by u.
28
Let h = -2 - -2. Suppose -4*x + 68 = -h*x. What is the remainder when x is divided by 4?
1
Let b(a) = -a**2 - 10*a - 19. Suppose 4*p - 2*v = 46 + 116, 0 = 4*p + 4*v - 168. Calculate the remainder when p is divided by b(-5).
5
Let n = 188 + -36. Suppose 7*t - n = 3*t. Suppose -2*q + 0*q = -t. Calculate the remainder when 75 is divided by q.
18
Suppose 7*l = 2*l + 5*c + 265, -4*l - 3*c = -226. What is the remainder when 109 is divided by l?
54
Let p = 171 + -138. What is the remainder when p is divided by -10*(-4 + (-90)/(-25))?
1
Suppose 3*s - 187 = d, 0 = -2*s + 4*d + 79 + 49. Calculate the remainder when s is divided by 33.
29
Let c be (-1)/(-8) + (2 - 111/(-8)). Suppose -17*q = -c*q - 61. What is the remainder when q is divided by 31?
30
Suppose -27*s - y = -26*s - 40, 0 = -5*s + y + 170. Calculate the remainder when 165 is divided by s.
25
Suppose 2 - 1 = -z - 5*c, 111 = 5*z - 4*c. Let u be (-2)/(-9) + (-1092)/54. Calculate the remainder when (8/u)/((-2)/170) is divided by z.
15
Let t = -12 - -12. What is the remainder when 78 is divided by 10/(-8)*-4*(4 - t)?
18
Suppose 2*c + 0*c + 24 = -o, -3*c + o - 31 = 0. Let p = 74 - c. Suppose 3*k = -2*z + p, 2*k - 4*z - 114 = -36. Calculate the remainder when k is divided by 17.
14
Let l(t) = 16*t - 4. Let r be 0 - (3 + 3 + -10). Let v = -38 - -59. Calculate the remainder when l(r) is divided by v.
18
Let x(q) = -q**2 + 5*q - 6. Let w be x(-5). Let a be 16/w + 74/14. Suppose a*v - 146 = 9. What is the remainder when 122 is divided by v?
29
Let a(g) = 8*g + 11. Let i(s) = -2*s + 6*s - 5*s + 16 + 1. Calculate the remainder when a(10) is divided by i(-6).
22
Suppose 0 = -l + t - 3*t + 45, 2*t = -2*l + 90. Let f = l + -30. Calculate the remainder when 74 is divided by f.
14
Let b = -811 + 865. Calculate the remainder when b is divided by 5.
4
Suppose 3*p = 4*q + 34, -11*p - q + 39 = -7*p. Let c(g) = g - 1. Calculate the remainder when p is divided by c(8).
3
What is the remainder when 1630 is divided by ((-84)/(-63))/((-4)/(-258))?
82
Let w be 9 - (1 + (-2)/(-1)). Suppose -111 = -3*o - 2*v, -w*v - 90 = -3*o - v. Calculate the remainder when o is divided by (4/(-8))/((-1)/38).
16
Let y(r) = 3*r - 35. Let m(p) = 8 - p - 7 + 22. Calculate the remainder when m(0) is divided by y(16).
10
Suppose l - 103 = -5*y, -36*y + 34*y + 112 = l. Calculate the remainder when l is divided by 24.
22
Let u(s) = s**2 - s - 1. Let j be u(-1). Let b be -1*(j + (-138)/3). Suppose -b = -2*d - d. What is the remainder when d is divided by 5?
0
Suppose 3*x - k - 17 = 0, 3*x + k - 18 = -x. Suppose -185 = -x*h - 2*y - 3*y, -3*h + 107 = 2*y. Let m = 21 - 3. What is the remainder when h is divided by m?
15
Let x = -768 + 794. Calculate the remainder when 48 is divided by x.
22
Suppose -2*k + 3*z = -2, -z - z - 6 = -2*k. Suppose -2*p + i = 3*p - 56, -8 = -2*i. Suppose -8*d = -k*d - p. What is the remainder when 46 is divided by d?
10
Let d = -86 + 112. Suppose 8*s - 512 = 4*s. What is the remainder when s is divided by d?
24
Suppose -18*b + 24*b = 162. What is the remainder when 123 is divided by b?
15
Let j be (-7 + 10)*(-4)/(-6). Suppose j*z - 5 - 13 = 0. Calculate the remainder when z is divided by 4.
1
Let l be (0 - 0) + 0 + 257. Suppose -5*v = -28 - l. What is the remainder when v is divided by (8/14 - 1501/(-105)) + 32/240?
12
Suppose 6 - 2 = 2*z, -199 = -3*w + 4*z. Calculate the remainder when w is divided by 23 + 2 + 1 + -2.
21
Let d(j) = -2*j**3 - j**2 - j + 527. What is the remainder when d(0) is divided by 19?
14
Suppose -n = -5*k + 4 - 6, 2*n - 31 = k. Let r(f) = -2*f - 5. Let i be r(-4). Suppose i*b = 36 - 9. What is the remainder when n is divided by b?
8
Let b = 30 - -21. Suppose -8*c = -4*c - 216. Suppose -3*n = 5*v - 0*v - c, 3*v = n - 18. Calculate the remainder when b is divided by n.
15
Calculate the remainder when 238/6 - 10/(-135)*-9 is divided by 16.
7
Suppose v = 2*v - 4*d - 11, 2 = 2*v + 2*d. Suppose 5*n + 5*g + 3 = 163, 0 = -v*n + 4*g + 131. Calculate the remainder when n is divided by 172/22 - (-2)/11.
5
Let i(j) = -j**2 - 10*j - 4. Calculate the remainder when 184 is divided by i(-3).
14
Calculate the remainder when -24*(352/12)/(-8) is divided by 47.
41
Let v be (-4498)/(-10) - (-14)/70. Suppose -4*o + 5*w = -324, w - 6*w + v = 5*o. Calculate the remainder when o is divided by 22.
20
Suppose 64 = -3*y + 79. Suppose -3*q + 3 + 3 = 0. Calculate the remainder when y is divided by q.
1
Suppose 4*g - 31 = c, -3*g = -3 - 3. Let m be (-2 - c)/(15/(-130)). What is the remainder when 105 is divided by (-12)/30 - m/5?
33
Let a be (0 - 1)*((6 - 11) + 5). Suppose -s - b + 43 = a, -3*b + 0*b - 179 = -4*s. What is the remainder when 85 is divided by s?
41
Let w(p) = -p**3 - p**2 - p - 3. Let s(f) = f**3 - 5*f**2 + 45*f - 345. What is the remainder when s(7) is divided by w(-3)?
14
Let c be (-20 + 4)*6/(-8). Suppose -4*f = -0*f - 56. Calculate the remainder when (-2)/c - 319/(-6) is divided by f.
11
Let v(m) = m**3 - m + 9. Let z(r) = r**2 - 4*r - 5. What is the remainder when v(0) is divided by z(-2)?
2
Let i(o) = 2*o**2 - 17*o - 3. Suppose 0 = 5*v - v - 4*n + 12, -v - 4*n = 23. Let a = v - -10. What is the remainder when i(9) is divided by a?
0
Let t(b) = -9*b**2 + 3*b - 1. Let f be t(2). Let n = f - -19. What is the remainder when (-4)/n + 159/9 is divided by 10?
8
Let q be (429 + -1)*(-8)/(-32). Let b = 156 - q. Let d = b - 28. Calculate the remainder when d is divided by 6.
3
Calculate the remainder when (1 - -1)/(14/21) - -7 is divided by 7.
3
Let a(m) = m**3 - 2*m**2 + 2*m + 6. Let u be a(0). Suppose 4*w + 3*x - 133 = 0, u*x = 5*w + 3*x - 200. What is the remainder when w is divided by 16?
5
Suppose 4*u - 16 = 4. Suppose 2*w + 21 = -5*z, -3*z - 4 - u = 0. Let m(h) = -2*h**3 - 5*h**2 - 2*h - 1. What is the remainder when m(w) is divided by 3?
2
Suppose 18*f = 2352 + 3012. What is the remainder when f is divided by 61?
54
Let v(l) = -l**3 - 4*l**2 + 5*l - 8. Suppose 10 = -j + 4. What is the remainder when v(j) is divided by 19?
15
Let u(f) = -85*f + 444. What is the remainder when 223 is divided by u(5)?