Let q(c) = -c - 2. Let m(p) = p**3 - 4*p**2 - 3*p. Calculate the remainder when m(5) is divided by q(-6).
2
Suppose -3*d + 180 = 2*v - 50, 0 = -5*d - 10. Let x = v - 40. Calculate the remainder when x is divided by 20.
18
Suppose 9*b = -72*b + 1296. Calculate the remainder when 125 is divided by b.
13
Suppose -23*s + 192 = s. Calculate the remainder when 54 is divided by s.
6
Let w = -26 - -44. Suppose 2*q = -k + 5*k - 22, k + 5*q = 0. Suppose 0 = k*c - 2*m - 27, 0*c + 18 = 2*c + m. What is the remainder when w is divided by c?
4
Suppose 2*x - 14 = -4. Suppose -a - 3*a = -2*z + 6, -5 = -2*z + x*a. Suppose z*g + 2 = j + 178, -4 = -j. What is the remainder when g is divided by 10?
6
Suppose -4*q = q + 285. Let d = q - -81. Suppose 4*y - 22 = -5*i, 4*y = -5*i + i + d. What is the remainder when 21 is divided by y?
5
Let x = -97 + 143. Calculate the remainder when 412 is divided by x.
44
Calculate the remainder when -1*3/1*(140 - 219) is divided by 30.
27
Let u = -12 - -54. Let d be (1 - 0)/(1/(-225)*-5). Suppose -3*w + 3*m + d = 0, -w + 5*m + 32 = 1. Calculate the remainder when u is divided by w.
9
Let b be 9/(-6) + (-2)/(4/(-25)). Suppose -b*t - 87 = -14*t. What is the remainder when t is divided by 12?
5
Suppose 4*p = 4 - 0, -128 = -5*m + 2*p. Let y = 8 + -6. Suppose -147 = -y*i - i + 2*t, 2*t = 6. What is the remainder when i is divided by m?
25
Calculate the remainder when 933 is divided by (-9)/9 + (50 - -3).
49
Let c(i) be the third derivative of 5*i**4/12 - 5*i**3/3 - 2*i**2. What is the remainder when c(6) is divided by (-2)/(-5) - 252/(-20)?
11
Let z = -226 - -477. What is the remainder when z is divided by 23?
21
Suppose 5*s + 6*i - 2*i + 5 = 0, i = s - 8. Suppose 2*u - 18 = -4*t + 10, 5*t - 26 = -u. Suppose 0 = -j + u + 3. What is the remainder when j is divided by s?
0
Let w(k) = 3*k. Let d(j) = 137*j + 713. Calculate the remainder when d(-5) is divided by w(5).
13
Let n = 73 - 68. Suppose 4*c - 5 = -3*o + 26, -3*o - n*c = -26. What is the remainder when 31 is divided by o?
14
What is the remainder when 512/2 + (120 - 112) is divided by 115?
34
Suppose -5*q = -9*q + 4. Let j = q - -54. What is the remainder when j is divided by 19?
17
Suppose -18*t + 7 = -19*t. Let l(q) = q**3 + 9*q**2 + 8*q - 9. What is the remainder when l(t) is divided by 13?
7
Suppose -5*a = -3*a + 2*h - 14, -h = 4. Suppose 0 = -3*l - a + 44. Let x = -22 + 41. Calculate the remainder when x is divided by l.
8
Suppose -3*g + 68 = -b - 64, -75 = -2*g + 5*b. Calculate the remainder when g is divided by 13.
6
Let g = -154 - -222. Let z = -47 + g. Let s(b) = -6*b + 15. What is the remainder when s(-4) is divided by z?
18
Let k = 332 - 181. Calculate the remainder when k is divided by 39.
34
What is the remainder when (-1774)/(-6) - 164/246 is divided by 16?
7
Let l = -13 + 33. What is the remainder when (3 + -2 + -39)*9/(-6) is divided by l?
17
Let p(a) = a**2 + 13*a + 10. Calculate the remainder when p(-21) is divided by 5.
3
Let a = 4 + 11. Let h(k) = -4*k**2 + 14*k + 2. Let b be h(9). Calculate the remainder when 73 is divided by b/(-10) - 9/a.
16
Suppose -2*s + 6*k + 182 = 7*k, -4*s + 368 = k. Suppose -a = -4*v + a + 106, 0 = v - 4*a - 44. Calculate the remainder when s is divided by v.
21
What is the remainder when 267 is divided by (-13)/3*(-7)/(7/3)?
7
Suppose 0 = -22*o - 5*o + 2592. What is the remainder when 1151 is divided by o?
95
Let u(v) = -v + 7. Suppose -4*l - 5*t + 22 = 0, 269 - 261 = 4*t. Calculate the remainder when l is divided by u(6).
0
Suppose -5*n = -2*n - 33. Let p be (-2492)/(-154) + (-2)/n. Suppose -6 = r - p. Calculate the remainder when r is divided by 2.
0
Let l(n) = 4*n**2 - 7*n - 168. What is the remainder when l(-11) is divided by 18?
15
Suppose 0 = 4*t - 9*t - 70. Let v = 16 + t. Suppose -52 = -4*s - v*h, 2*s - 24 = -0*s - 2*h. Calculate the remainder when 25 is divided by s.
11
Suppose -5*d - u + 23 = 0, 4 = 5*d - 2*u - 10. Suppose 3*a - 43 = p + 70, -d*a = -4*p - 164. Calculate the remainder when 139 is divided by a.
31
Suppose -6*g - 570 = -1602. What is the remainder when g is divided by 59?
54
Let b(u) = -u**2 - u + 51. What is the remainder when 43 is divided by b(-5)?
12
Let a(i) = -i**2 - 7*i + 4. Let h be a(-4). Suppose 0 = 12*b - h*b + 56. What is the remainder when 23 is divided by b?
9
Suppose 5*s = 8*t - 4*t + 900, -4*t = 5*s - 860. Suppose u - 2*f = 3*f + 36, -4*f = -4*u + s. Calculate the remainder when 180 is divided by u.
42
Let c = 70 - 16. What is the remainder when (-5)/15 - ((-4417)/21 + -5) is divided by c?
53
Suppose -3*y = -421 - 290. Let u = y + -159. What is the remainder when u is divided by 27?
24
Let u(r) = -r**3 - 6*r**2 + 5*r - 2. Let x(l) = 2*l**3 + 17*l**2 - 15*l + 7. Let h(y) = -8*u(y) - 3*x(y). What is the remainder when h(4) is divided by 16?
15
Suppose -2*q = 3*n - 432, -18*q + 20*q - 148 = -n. Calculate the remainder when n is divided by 73.
69
Let s = -22 - 0. Suppose -9*x + 3 = -5*x - t, 0 = 3*x - 5*t + 19. What is the remainder when s/(-4) - (-4)/8 is divided by x?
0
Let z(c) = 11*c**2 + 0*c + 0*c - 5*c + 16 + c**3 - 7*c. Let k = -80 - -141. What is the remainder when k is divided by z(-12)?
13
What is the remainder when 443 is divided by (-1)/(-7) + 21148/238?
87
Calculate the remainder when 555/2 - 1*7/(-2) is divided by 84.
29
Suppose -2 = -f, f = -5*l + 5*f + 432. What is the remainder when l is divided by 22?
0
Let s(j) = j**2 - j + 5. Suppose 20 = -17*g + 21*g. Calculate the remainder when 48 is divided by s(g).
23
What is the remainder when (10 - 9)*167 + 10 is divided by 37?
29
Let b = 60 - 38. What is the remainder when 63 is divided by b?
19
Suppose 2*n + 2*p - 177 = -37, 4*n - 270 = -2*p. What is the remainder when 582 is divided by n?
62
Let w(m) = 2*m - 2. Let u be w(-5). Let p = u + 12. Suppose 4*l - 40 = -g, 7*l - 2*l - 4*g - 29 = p. What is the remainder when 24 is divided by l?
6
Suppose 56*f = 72*f - 1184. What is the remainder when f is divided by 46?
28
Let n = 72 - -46. Let r = -77 + n. What is the remainder when 161 is divided by r?
38
Let s = 141 - 80. Calculate the remainder when s is divided by 46.
15
Suppose -7*a + 229 = 12. Suppose a*i = 34*i - 42. Calculate the remainder when 54 is divided by i.
12
Let y(x) = 893*x**2 - 10*x + 11. What is the remainder when y(1) is divided by 32?
30
Suppose -7*g + 564 + 969 = 0. Calculate the remainder when g is divided by 15.
9
Let t(x) = -x - 2. Let c be t(0). What is the remainder when 11 is divided by ((-24)/18)/(c/12)?
3
Suppose -50 = -3*g - 5*h - 16, 0 = -h - 4. Suppose 2*y - 5*x - g = 45, 5*y - 4*x = 132. What is the remainder when 46 is divided by y?
22
Let t = 1020 + -928. What is the remainder when 1194 is divided by t?
90
Let j = 11 - 2. Suppose -4*g + 33 = 13. Suppose -b - 88 = -g*n, 2*n + 2*b = 12 + 16. Calculate the remainder when n is divided by j.
8
Let f(b) = 4*b + 2. Let a(j) = 3*j**2 + 5*j - 6. Let h be a(1). Suppose -4*u + 21 = o, 6*u - 26 = h*u - 2*o. Calculate the remainder when f(3) is divided by u.
2
Suppose -3 = -r - 2*p, -3*p + 2*p = 2*r - 6. Let j be 20 - (r - (-2 + 5)). Suppose 5*z - z - j = 0. What is the remainder when 19 is divided by z?
4
Suppose -2*q + 43 = m, 2*q = 4*q + 2. Let z(b) = -b**2 + 12*b + 1. Suppose 2*c + 8 = 0, -2*c = -2*d - 11 + 41. What is the remainder when m is divided by z(d)?
9
Suppose -195 = -2*q + 5*l, -3*q + 11*l + 296 = 7*l. Calculate the remainder when q is divided by 8.
4
Suppose -2*g - 6 = 0, -4*g = 10*f - 12*f + 44. What is the remainder when 428 is divided by f?
12
Suppose -30 = -5*i - 5*z, -i + 3*z - 13 = -3*i. What is the remainder when 2/(-5) - (-232)/i is divided by 16?
14
Let t(u) = -52*u**3 + u**2 + 6 + u + 58*u**3 - u - u. Let i be t(-3). Let f = -92 - i. Calculate the remainder when f is divided by 11.
8
Suppose 3*q + 18 = 57. Let t = 24 - q. Let g = 321 - 267. What is the remainder when g is divided by t?
10
Suppose 128 = 5*i - 6*v + 3*v, 2*v - 23 = -i. Calculate the remainder when 121 is divided by i.
21
Let q be 8/(-24)*(0/2 - -6). Let z be (6 + -26)/(1/(-2)). What is the remainder when (-1)/1*q + z is divided by 11?
9
Let c = -7 - 6. Let x = -5 - c. Calculate the remainder when 31 is divided by x.
7
Let v be 30/8*(-5 - -1). Suppose w + 8 = 3*w. What is the r