2*s, -5*c = 5*s - 175. Calculate the remainder when 503 is divided by s.
35
Let d = -200 - -215. Calculate the remainder when 192 is divided by d.
12
Let w = -31 + 47. Let k(a) = -a**3 + 11*a**2 - 15*a + 15. Let t be k(9). What is the remainder when (t/(-8))/((-2)/24) is divided by w?
15
Suppose 4*z + u - 2781 = 4*u, 4*u - 3515 = -5*z. Calculate the remainder when z is divided by 54.
51
Suppose 0 = -4*x - 5*h + 116, -3*x + 4*h - 52 = -5*x. Let y(f) = -58*f - 214. What is the remainder when x is divided by y(-4)?
16
Let c(y) = -16*y + 23. What is the remainder when c(-2) is divided by 7?
6
Let r(p) = p**3 - 12*p**2 - 15*p + 14. Let j be r(13). Calculate the remainder when 27 is divided by (j/10)/((-3)/35).
13
Let n(j) = j**2 - 24*j + 204. What is the remainder when n(28) is divided by 83?
67
Let g = -1065 + 1319. Calculate the remainder when g is divided by 91.
72
Suppose 3*f - 132 + 27 = -d, 4*f + 2*d = 140. Calculate the remainder when f is divided by 22.
13
Suppose 0 = -4*p - 5*c + 4 + 52, -3*p + 39 = 3*c. Let l = -9 - -35. What is the remainder when l is divided by p?
8
Let j = -566 - -720. What is the remainder when j is divided by 43?
25
Suppose 51*v = 23*v + 1428. Calculate the remainder when 107 is divided by v.
5
Suppose 0*i + 20 = 2*i. Suppose -91 = 3*d - i*d. What is the remainder when 13 is divided by d?
0
Let i = 69 - 62. Let m(x) = -x**2 + 13*x - 20. Calculate the remainder when 65 is divided by m(i).
21
Suppose -13 = 5*n + 22. Let x = n - -37. Let l(a) = 11*a - 8. Calculate the remainder when l(6) is divided by x.
28
Let j = -27 + 33. Let n be (-20)/j*(-18)/12. Suppose -170 = -5*i - 2*u, -n*i + 138 = -2*u - 12. What is the remainder when i is divided by 9?
5
Suppose 17*k - 1348 = 2494. What is the remainder when k is divided by 10?
6
Suppose 4*j - 3*r = -r + 270, -r = 4*j - 279. Let h = -51 + j. Calculate the remainder when 124 is divided by h.
16
Let f = -117 - -145. Calculate the remainder when 279 is divided by f.
27
Let y = -308 + 473. What is the remainder when y is divided by 83?
82
Let k = 51 - 45. What is the remainder when k is divided by 1?
0
Suppose 0 = -9*i + 64*i - 3355. Calculate the remainder when 164 is divided by i.
42
Suppose 5*s = 14 + 1. Suppose 25 = -s*f + 148. What is the remainder when 203 is divided by f?
39
Let v be 4/10 + (-162)/(-45). Let p be ((-76)/(-3))/(v/6). Suppose 3*r + 4*j = 53, -2*r + p = 3*j + j. Calculate the remainder when 43 is divided by r.
13
Suppose 6*w + 24 = 9*w. Let s(u) = -u**2 + 9*u + 17. Calculate the remainder when s(w) is divided by 7.
4
Let f = -5 + 9. Suppose 2*g - f*g + 30 = 0. Suppose -3*c + 43 = 5*k - 4*k, -2*k + 31 = -5*c. What is the remainder when k is divided by g?
13
Let r(n) = -n**2 + 27*n - 46. What is the remainder when 505 is divided by r(23)?
45
Let b(r) = -62*r - 341. What is the remainder when 185 is divided by b(-7)?
92
Let g(r) = -r**2 + 5*r + 9. Let o = -1 + 5. Calculate the remainder when g(5) is divided by o.
1
Let c = -11 - -11. Suppose c = -2*l + 6 - 0. Suppose -2*g + 164 = l*g - 4*n, -g = -n - 33. What is the remainder when g is divided by 12?
8
Let o(u) = -83*u**2 + 1. Let c be o(-1). Let q = -46 - c. What is the remainder when 141 is divided by q?
33
Let u = -139 + 155. Calculate the remainder when 189 is divided by u.
13
Suppose 4*n = -2*l - 5 + 13, 0 = 2*n + 4*l - 16. Suppose n = t - f - 31, t + 0*t = -f + 41. Calculate the remainder when 143 is divided by t.
35
Let z(y) = 12*y - 16. What is the remainder when 338 is divided by z(3)?
18
Suppose 0 = -4*p - g - 4*g - 11, 3*g = 2*p + 33. Let d(s) = -12*s - 19. Calculate the remainder when d(p) is divided by 23.
20
Let k(v) = -5*v - 5. Suppose -2*x + 53 = -a, -44*x = -41*x + a - 77. What is the remainder when x is divided by k(-4)?
11
Let h be (-246)/(-8) - (-7 + (-189)/(-28)). Suppose -3*v + h + 123 = 2*z, -5*v + 274 = -z. What is the remainder when v is divided by 8?
6
Suppose -4*x + 1462 = 13*x. Calculate the remainder when x is divided by 14.
2
Let s = 19 + -10. Suppose -41 = -s*x + 31. Calculate the remainder when x is divided by 2.
0
Suppose 5*s = y - 29, -3*s = -y + 26 - 7. Let z = y - 6. What is the remainder when (-3)/(z + 339/174) is divided by 15?
13
Suppose -3*r + 18 = 3*y, 3*y = 4*y + 3*r. What is the remainder when 133 is divided by y?
7
Suppose 2*z - 192 = k + 1846, 2*k + 1025 = z. What is the remainder when z is divided by 17?
14
Let u(p) = p**3 - 8*p**2 - 9*p + 2. Let d be u(9). Let z be (12 + -3 - d) + 0. Suppose -36 = -z*w + 3*w. Calculate the remainder when 16 is divided by w.
7
Suppose 3*i = 4*a - 1 - 9, 0 = 5*a - 4*i - 12. Suppose -y - a*c + 13 = -2, 4*c - 72 = -4*y. What is the remainder when 73 is divided by y?
16
Suppose 5*o - 13 = -3*a + 7, 2*a + o - 25 = 0. What is the remainder when 102 is divided by a?
12
Let c = 29 + -13. Suppose -55*j + 27 = -52*j. What is the remainder when c is divided by j?
7
Suppose 2*z - 22 = -4*n, 3*z - 7*n + 2*n = 0. Suppose -g + 60 = -z*i + 4*g, -5*i - 3*g = 92. Let p = 18 + i. Calculate the remainder when 7 is divided by p.
1
Let c(j) = 3*j**2 - 15*j + 32. Calculate the remainder when c(4) is divided by 8.
4
Let l(v) = -v**2 - v + 5. Let c be l(0). Suppose u + 31 = n, c*u = 3*n - 0*n - 95. Let w = n - -7. Calculate the remainder when w is divided by 19.
18
Suppose -5*n - 3*w = -125, 2*n - 2*w = 2*w + 24. Let l = -79 + 144. What is the remainder when l is divided by n?
21
Suppose 51*s - 1560 = -9*s. What is the remainder when 175 is divided by s?
19
Let g = -52 + 111. What is the remainder when g is divided by 30?
29
Calculate the remainder when 285/55 + -5 - (-1470)/22 is divided by 36.
31
Let v(p) = 4*p**3 - 5*p**2 - 36*p - 8. What is the remainder when v(6) is divided by 11?
9
Suppose 0 = p + 1 - 8. Let c = 28 - 10. Calculate the remainder when c is divided by p.
4
Let j be (12/(-14))/((-40)/8120). Let i = j + -152. Calculate the remainder when i is divided by 12.
10
Let b = -262 + 290. What is the remainder when 53 is divided by b?
25
Let f(i) = i**3 + 7*i**2 + 4*i - 3. Calculate the remainder when 170 is divided by f(-4).
25
Suppose 715 = 19*f - 178. What is the remainder when f is divided by 9?
2
Let b(y) = -2 - 2 + 6*y + 6 + 8*y**2 + y**3. Let v be b(-6). Suppose -1 = -3*o + v. What is the remainder when 75 is divided by o?
10
Suppose -11*o + 32*o = 84. Suppose -n = -2 - 0. What is the remainder when -11 + 19 + -2*2/o is divided by n?
1
Suppose 45*g - 218 = 142. Suppose -r = 5 - 26. Calculate the remainder when r is divided by g.
5
Let z(g) = 5*g - 2. Suppose -4*k = -2*k - 126. Let c = k - 14. What is the remainder when c is divided by z(3)?
10
Let o(u) = 7 + 2*u + u - 3*u - 2*u. What is the remainder when 64 is divided by o(-3)?
12
What is the remainder when (-3984)/(-39) - (-52)/(-338) is divided by 21?
18
Let r(m) = 2*m**2 + 9*m - 7. Let p be r(-9). Suppose p*u = 70*u + 128. Calculate the remainder when u is divided by 18.
14
Let q = -3 - -8. Let m = 28 - 28. Suppose m = 8*c - 3*c - 4*d - 78, -2*c = -d - 30. Calculate the remainder when c is divided by q.
4
Let p = 40 - 9. Let s = -18 + p. What is the remainder when (-1 - -50) + 0/(-14) is divided by s?
10
Let t(z) = -25*z + 96. What is the remainder when t(-10) is divided by 12?
10
Let u = -10 - -30. Suppose -85 - u = 5*z. Let i = 29 + z. Calculate the remainder when 28 is divided by i.
4
Suppose 1118*w = 1116*w + 26. What is the remainder when 519 is divided by w?
12
Let a(l) = l**3 + 14*l**2 + 12*l - 1. Let p be a(-5). Let d = -77 + p. What is the remainder when d is divided by 22?
21
Let z(b) = -16*b**3 - 9*b**2 - 15*b - 4. Calculate the remainder when z(-2) is divided by 60.
58
Suppose 5*h = -a + 69 - 5, 128 = 2*a + h. What is the remainder when a is divided by 17?
13
Suppose -4*f + 16 = -2*f. Let u be -5 - 1/(1/(-2)). What is the remainder when (2*(14 + u))/1 is divided by f?
6
Let m(r) be the second derivative of r**5/20 - 11*r**4/12 + 11*r**3/6 - 3*r**2/2 - 7*r. What is the remainder when 34 is divided by m(10)?
6
Suppose 0 = 4*i + 5*l + 28, 7*l - 3*l + 18 = -i. Let r be 33/((-3)/1) - i. Let j = 0 - r. What is the remainder when 35 is divided by j?
8
Let c(g) = 54*g - 273. What is the remainder when c(8) is divided by 43?
30
Let i be 12*(3 + 0 + 0). Suppose -45 = -3*g - 2*g + 5