nder when -3 + (-306)/g + (-18)/(-63) is divided by 11.
8
Let i = 609 + -613. Calculate the remainder when 106 is divided by (-10)/i*(9 - 330/50).
4
Suppose 0 = 16*k - 2565 - 2251. Let c = k + -190. What is the remainder when c is divided by 23?
19
Calculate the remainder when 1043 is divided by (-4)/6*4/8*(-31047)/131.
16
Suppose -16*q = -11*q - 30. Suppose -6*t - c + 18 = -5*t, 52 = 3*t + 4*c. What is the remainder when t is divided by (14/q)/((-4)/(-12))?
6
Let k be ((-4 + 6)/(-4))/((-1)/8). Calculate the remainder when (-1719)/18*8/(k + -8) is divided by 16.
15
Let v(z) = -77*z - 110. Let n be v(-20). What is the remainder when 179 is divided by n/117 - 2/9?
11
Let d(s) = -s**2 + 9*s - 6. Calculate the remainder when 14 + (-8)/(-10 + -6 + 15) + -6 is divided by d(6).
4
Suppose -50*t + 58*t - 3776 = 0. Suppose -972 = -t*b + 466*b. Calculate the remainder when b is divided by 33.
30
Suppose k - 5*c = 55, -5*k - 10*c = -6*c - 159. What is the remainder when 367 is divided by k?
17
Suppose 0 = 28*r - 1291 - 949. Suppose 4*n - 5*b - r = 0, 3*n - 29 = 6*b - 10*b. Calculate the remainder when 29 is divided by n.
14
Let f = 14247 - 14237. Calculate the remainder when 257 is divided by f.
7
Suppose -884 + 6012 = 4*l + 4*x, -6428 = -5*l + 4*x. Suppose -2*m - 5*k = -552, 3*m - 5*k - l + 456 = 0. Calculate the remainder when m is divided by 71.
63
Suppose 3 + 2 = o. Let k(v) = v**3 - 40*v**2 - 40*v - 30. What is the remainder when k(41) is divided by o?
1
Suppose -332*c = 307*c - 10863. Calculate the remainder when 6601 is divided by c.
5
Let i = 410 - 382. What is the remainder when ((2 - 2) + 45)/(2/6) is divided by i?
23
Suppose 6*i = 3*i + 39. Suppose 0 = -2*l - 5*a + 20, -8*a + 1 = -l - 5*a. Suppose l*s = -0*s + 240. Calculate the remainder when s is divided by i.
9
What is the remainder when 525 is divided by (134 - 2) + (27 + -31)/(2/1)?
5
Suppose 6 - 20 = -2*j. Let i(p) = -p**3 + 34*p**2 + 3. Let t be i(34). Let b(g) = g**3 - 3*g**2 + g + 1. What is the remainder when j is divided by b(t)?
3
Let q = -143 - -278. Suppose 6*d + 558 = 10*d - 2*x, -d = -2*x - q. What is the remainder when d is divided by 48?
45
Let u = 8925 + -8722. What is the remainder when 1824 is divided by u?
200
Suppose -4*t + 1424 - 4 = -5*y, -2*t + y + 704 = 0. Suppose -20877*h - 5*i - 112 = -20879*h, h - 89 = -3*i. What is the remainder when t is divided by h?
66
Suppose -2*w - 5*z = -15, 0 = -3*z + 27 - 24. Suppose -3*a = -j + 7, 3*j + 9*a = w*a + 47. Calculate the remainder when 20 is divided by j.
7
Suppose 5*g - 103 = 177. Let i = 8 - 6. Let f(u) = 13*u + 3. What is the remainder when g is divided by f(i)?
27
Let f(q) = 10*q**2 - 37*q - 205. Calculate the remainder when f(19) is divided by 208.
206
Let y be (14880/6)/(-5) - 2. What is the remainder when 1/(2982/y + 6) is divided by 5?
3
Let z = 80 + -59. Suppose -x + 6*x - g = 21, 5*g + z = 4*x. What is the remainder when 2/(x*4/192) is divided by 9?
6
Suppose -14*l + 22*l = 80. Suppose 988 + 82 = l*z. What is the remainder when z is divided by 11?
8
Let o = -16813 - -16819. Calculate the remainder when 1030 is divided by o.
4
What is the remainder when -3*1501/(-95)*(-20)/(-12) is divided by 65?
14
Suppose -232 = 13*h - 21*h. Suppose 26*y - h*y = -3*p + 198, 4*p - 234 = -2*y. Calculate the remainder when 118 is divided by p.
57
Let s = 17459 - 16606. Calculate the remainder when s is divided by 243.
124
Let a(t) = 261*t**2 + 50*t - 349. What is the remainder when a(8) is divided by 21?
18
Suppose -5*d = 104 - 129. Let f = 4 - 0. Suppose d*c = -3*i + 252, f*i - 46 = -c - i. Calculate the remainder when c is divided by 18.
15
Suppose 3*f = f - 2*b + 26, 5*f + b = 49. Suppose -2*d + 102 = -4*y, 0 = -5*y + 24 + 11. Calculate the remainder when d is divided by 14 - -2*f/(-6).
10
Suppose -26 = -h + 2*d, -d = -2*h + d + 44. Suppose -o - h = 18. Calculate the remainder when (-159)/(-18) + (-6)/o is divided by 4.
1
Suppose -5*a - 2*p - 10 = 0, -2*a + 0*a - 2*p = 4. Calculate the remainder when 14 is divided by (-2*a/3)/(8/12).
0
Suppose 6*o + 367 = 1459. Let p = -177 + o. Calculate the remainder when 68 is divided by p.
3
Let z be 55 + (3 - 2)/1. Suppose -y = 5, 7*u - y - z = 6*u. Let g = u - 32. What is the remainder when g is divided by 11?
8
Let m(r) = -7*r**2 + 137*r - 140. What is the remainder when 682 is divided by m(17)?
18
Let y(z) = 3*z**3 + 120*z**2 + 3*z + 152. Suppose -2*q + 96 = 5*l - 162, q = 4*l + 116. Calculate the remainder when q is divided by y(-40).
28
Let g = -3586 - -4574. What is the remainder when 996 is divided by g?
8
Let o be ((-5)/(-3))/(6/(-7 - -4309)). Suppose 3*n + 2*g - g = 713, 5*n + 3*g = o. What is the remainder when n is divided by 60?
56
What is the remainder when (-70)/420 - 158/(-12) - -123 is divided by 26?
6
Let o(l) = l**3 + 13*l**2 - 67*l + 23. What is the remainder when 581 is divided by o(-17)?
5
Suppose -608*j = -480*j - 6144. What is the remainder when 1012/6 - (-2)/(-3) is divided by j?
24
Suppose -4*c + 16 + 4 = 0. Suppose 56 = c*h + 3*h. What is the remainder when 39 is divided by h?
4
What is the remainder when (-4)/14 + (-4)/(56/(-1474)) is divided by 58?
47
Let a be 5350/(-250) - 2/(-5). Calculate the remainder when 325 is divided by 2/(-7) + (-867)/a.
38
Let v(q) = 5*q**2 - q - 577. Let z be v(0). Let a = 643 + z. Let t(o) = -o**3 - 7*o**2 - 7*o + 8. What is the remainder when a is divided by t(-6)?
10
Let k(z) = -z**2 - 95*z - 1540. Calculate the remainder when 164 is divided by k(-74).
10
Suppose 4*p - 120 - 36 = 0. Suppose 3*x - 82 = -5*f, 0 = -3*x - 0*x + 2*f + 47. Let l = x + -11. Calculate the remainder when p is divided by l.
7
Suppose -q + 14 = 77. Let z = q + 117. Let p = 104 - z. What is the remainder when p is divided by 13?
11
Let y(t) = 21*t**2 - 2*t - 2. Suppose -4*k - 4*u = 0, -5*k - 3*u - 10 = -8*u. What is the remainder when 76 is divided by y(k)?
13
Suppose 9*w = 53*w - 2728. Calculate the remainder when 614 is divided by w.
56
Suppose 4*r - 11 = 3*r + 5*o, 3*o = 4*r - 78. What is the remainder when 114 is divided by r?
9
Let q(o) = -o**3 - 12*o**2 - o + 32. Suppose 4*t + 0*t - 300 = 0. Suppose -3*m - 2*m = -t. Calculate the remainder when q(-12) is divided by m.
14
Let k(a) = -a + 8. Let s be k(7). Let n = 3 - s. Suppose 0 = -2*c - 3*v + 10, -c + 4*v + 20 = 3*c. Calculate the remainder when c is divided by n.
1
What is the remainder when 20 is divided by (-2)/(-6)*(-11)/(66/(-306))?
3
Suppose 4*z = 5 + 7. Suppose -3*y - 3*u + 86 = 41, 2*y - z*u - 45 = 0. What is the remainder when 37 is divided by y?
1
Suppose 30*m = 300 + 210. What is the remainder when 866 is divided by m?
16
Suppose g - 115 = 4*w + 4, w = -4*g + 442. Suppose g = 8*z - 9. Calculate the remainder when 87 is divided by z.
12
Suppose 4*n - 3*c = c + 212, 4*n = 3*c + 208. Let z = n + -103. What is the remainder when 244/(-18)*-3 - 18/z is divided by 17?
7
Let g = -28117 - -28168. Calculate the remainder when 217 is divided by g.
13
Let v(x) = 3*x**2 + 5*x + 4. Suppose -107*r + 80 = -117*r. What is the remainder when v(-3) is divided by r/44 - 171/(-33)?
1
Suppose -5*z - 19*w + 15*w = -9300, -5543 = -3*z + 5*w. What is the remainder when z is divided by 52?
36
Let v(q) = 3004*q - 8999. Calculate the remainder when 1*311/3*9 is divided by v(3).
10
Suppose -5*o + 275 = 5*c, -o + c + 67 = 5*c. Suppose -o = -2*b + 13. Suppose p = b - 14. What is the remainder when p is divided by 3?
0
Let g(n) be the second derivative of -n**4/12 + n**3/3 + 70*n**2 - 2*n - 21. What is the remainder when g(0) is divided by 66?
8
Let v be -3 - 3/(-3) - -70. Let k = v - 58. Suppose -k*l + 7*l + 6 = 0. What is the remainder when l is divided by 2?
0
Let z be (-1144)/6 + 16/(-12) + 2. Let b = z - -89. Let p = 109 + b. What is the remainder when 24 is divided by p?
0
Suppose 374 = 5*x - 596. Let p = x + -190. What is the remainder when p is divided by (2 - 48/20)*-10?
0
Let v(x) = x**3 - 3*x**2 - 249*x - 227. What is the remainder when v(18) is divided by (-514)/(-10) + 4/(-10)?
49
Suppose -27*j + 96 = -147. What is the remainder when 96 is divided by j?
6
Let y = -3747 - -3766. Calculate the remainder when 146 is divided by y.
13
Let j(h) = -21*h**3 + 8*h**2 + 17*h + 11. What is the remainder when j(-3) is div