12*v + c. Suppose -2*j + 60 = 3*j. What is the remainder when v is divided by j?
9
Suppose -14*x + 20*x = -2*c - 20, 4*c = -x + 48. Suppose -6 = -3*t, 4*b + 5*t - t = 2408. Calculate the remainder when b is divided by c.
12
Suppose 151*h + 320*h + 5545 = 1587634. Calculate the remainder when h is divided by 65.
44
Suppose 181*f - 796 - 471 = 0. What is the remainder when 697 is divided by f?
4
Let b = -9 - 12. Suppose 10*i + x = 5*i + 324, -2*i = 5*x - 148. What is the remainder when i is divided by 6/b + 312/14?
20
Let p(u) = u**3 - 16*u**2 - 122*u + 18. What is the remainder when p(22) is divided by 81?
76
Let i(r) = r**3 + 3*r**2 + 2*r + 10. Let m be i(-3). Suppose -4*p + g = -5 - 1, m*p + 2*g - 12 = 0. What is the remainder when 17 is divided by p?
1
Let f be (21/42)/(2/12). Suppose -3*r = -3*q + 36, q + f*r - 12 = 12. What is the remainder when 58/((-20)/q*3/(-2)) is divided by 6?
5
Suppose -28*j + 54366 = 111*j + 7801. Calculate the remainder when j is divided by 276.
59
Let t be ((-6)/14)/(28/(-196)). Suppose 0 = m - 5*y - 21, -5*y + 1 = t*m - 2. What is the remainder when 226 is divided by m?
4
Let b be 1 + 0 - (6 - 5). Let s = b + 52. Let a = -466 - -485. Calculate the remainder when s is divided by a.
14
Let s be (4/12)/((-2)/(-12)). Suppose 0 = s*n + 3*n - 210. Let m(g) = -453*g - 35213. Calculate the remainder when m(-78) is divided by n.
37
Let a(k) = 5*k**3 - k**2 - 6*k - 1. What is the remainder when a(4) is divided by 56 + (-1)/(-4)*0?
55
Let c = -1724 - -1732. Let i be (-4)/(-14) + (-78)/(-21). Suppose i*x - 9 = 3*n - 52, -x = 2*n - 47. Calculate the remainder when n is divided by c.
5
Suppose -97 = -47*h + 43*h + 7*b, 0 = 2*h + 2*b - 32. Let w = 23 + -12. Calculate the remainder when h is divided by w.
8
Let r = -74 + -137. Let q = r + 221. Let b(u) = -u**3 + 6*u**2 - 2*u - 1. What is the remainder when b(5) is divided by q?
4
Let c be (-272)/10 + (-1)/(-5). Let f = 58 + c. Calculate the remainder when f is divided by -3 - 0 - 3 - (0 - 23).
14
What is the remainder when 1168 is divided by (4/(-15) - (-5)/(-75) - -4)*159?
2
Suppose -2 = -4*w + 6. Let i be 1/(-2)*2*(6 + -7). Suppose 5 = -k, 0 = o + 4*k + 13 - i. Calculate the remainder when o is divided by w.
0
Suppose 3*r + 3*k = 141, 4*r = 4*k - 3 + 215. Let q = 82 - 56. Calculate the remainder when r is divided by q.
24
Let f = -2449 - -2902. Calculate the remainder when f is divided by 227.
226
Suppose 4*o + 5*v = 20, -3*o + 5*v + 6 = -9. Calculate the remainder when 8302 is divided by o.
2
Calculate the remainder when 1037 is divided by (-660)/(-770) + (2754/21 - 1).
120
Let v be (-116)/(-3)*-9*(-25)/15. Let o(n) = 3*n**2 - 8*n - 5. What is the remainder when o(-6) is divided by v/15 + 22/(-33)?
37
Let p(w) = 11*w + 3. Let d be p(3). Let v = -42 + d. Calculate the remainder when 44/v*((-1)/2 + -1) is divided by 7.
4
Let l(h) = h**2 + h - 3. Suppose 369 + 831 = 15*i. Suppose 13*g + 15 = i. Calculate the remainder when g is divided by l(-3).
2
Let z(t) = 11*t**2 - 10*t - 2. What is the remainder when z(-6) is divided by 124?
82
Let y(b) = b**2 - 13*b + 4. Let f(v) = -v. Let a(m) = 2*f(m) - y(m). Suppose 5*n - 29 = 46. What is the remainder when a(6) is divided by n?
11
Suppose 13*i - 11*i = 4*x - 66, 5*i - 87 = -4*x. Suppose -4*c - 4*t = -36, x*t + 5 = 17*t. Calculate the remainder when 19 is divided by c.
5
Let s(l) = l + 7. Let w be s(-2). Suppose -w*y + 66 = -4*f, -2*y + 95*f + 16 = 96*f. Let p = 18 - -30. Calculate the remainder when p is divided by y.
8
Let g = 6305 + -6251. Calculate the remainder when 1457 is divided by g.
53
Calculate the remainder when -1 - (-207 - -29) - (-2)/(-2) is divided by 12.
8
Suppose -323 = 98*z - 117*z. What is the remainder when 78 is divided by z?
10
Let c(v) = v**2 + 7*v - 4. Let m be c(-8). Suppose 0 = 16*y + 21*y - 370. Suppose -m*k + y = -22. Calculate the remainder when k is divided by 7.
1
Let m be -6*(4 - (-45)/(-10)). Suppose -m*n = -j - 24, 4 = -4*n - 5*j + 17. Calculate the remainder when 27 is divided by n.
6
Suppose -117 - 211 = 4*b. Let o = -74 - b. Suppose c = -5, o*d - 35 = 3*d - 4*c. What is the remainder when 52 is divided by d?
8
Suppose 3551 - 473 = 27*a. Calculate the remainder when 6725 is divided by a.
113
Suppose j - 3*z - 88 = 0, 109*j + 2*z - 366 = 105*j. Calculate the remainder when 98 is divided by j.
7
Calculate the remainder when 159 is divided by -9 + (-3 - -12) - -41.
36
Suppose 3*j + 400 = -4*o, 2*j + 240 = 3*o + o. Let g = j + 62. Let p = g + 72. What is the remainder when 8 is divided by p?
2
Suppose 264 = 5*y + 3*x, -5*y - 66*x + 249 = -68*x. Calculate the remainder when 144 is divided by y.
42
Let l = 320 + -131. Let c(d) = -17*d - 63. What is the remainder when l is divided by c(-6)?
33
Let a(u) = -18*u**3 + 211*u**2 + 60*u + 20. Suppose 3*h + 3*t = -2*h + 389, -2*t = -6. Calculate the remainder when h is divided by a(12).
16
Let j(d) = d**2 + 2*d + 3. Let n be j(-2). Suppose 18 = 3*t + n*x, 4*t + 3*x - 28 = x. Calculate the remainder when 70 is divided by t.
6
Let j = -27 - -51. Suppose 0*s - s = -j. Suppose 3*k = -3*h + 132, 2*k = 10*h - 5*h - 227. What is the remainder when h is divided by s?
21
Let s(n) = -31*n**3 + 8*n**2 + 6*n - 12. What is the remainder when s(-4) is divided by 63?
60
Suppose 2*f - i = 23, -4*f + 3*f + 14 = -3*i. Suppose -4*x + 20 = 3*o - 7, 0 = 4*o - 3*x - 36. Calculate the remainder when f is divided by o.
2
Suppose 0 = -5*a + j - 2*j - 70, 0 = -5*a + 5*j - 70. Calculate the remainder when 1/((a/12)/(-7)) is divided by (-398 + 409)*2/11.
0
Let b = 49 + -25. Let n(i) = 13*i - 10*i**2 - b + 4*i - 2*i**3 + 10 - 13*i. Calculate the remainder when n(-6) is divided by 7.
6
Let y = 2 + -3. Calculate the remainder when y*4*45/(-4) is divided by (-14360)/(-900) - (-4)/90.
13
Let v(g) = 2 - 13 + 18 + g**2 - 9*g. Calculate the remainder when v(9) is divided by (-324)/(-60) - (-2)/(-5).
2
Suppose 4*h + 37 = 141. Suppose 21 = 20*x - 39. Suppose 15*i + 3*m - 63 = 10*i, -i = -x*m - 27. Calculate the remainder when h is divided by i.
11
Suppose -6*b + 2*b = -2*c - 12, 3*c + 9 = 3*b. Let l(a) = 5*a**3 - 2*a**2 - 3*a + 5. What is the remainder when l(b) is divided by 33?
14
Calculate the remainder when 1468 is divided by (-1650)/(-660)*16/5.
4
Let o(y) = 31*y**2 - 1425*y - 12. Suppose 4*g = g + 399. Calculate the remainder when g is divided by o(46).
31
Let h be 477/4 + -5 + (-190)/(-40). Let s = h + -50. Calculate the remainder when s is divided by 47.
22
Let o(x) = 10*x**2 + 28*x + 174. Let l(p) = 7*p**2 + 19*p + 116. Let j(v) = -7*l(v) + 5*o(v). Calculate the remainder when 260 is divided by j(-8).
62
Suppose -3*c - 12 + 3 = 0, 0 = 2*g + 3*c - 117. What is the remainder when (238/(-17) - -15)*122 is divided by g?
59
Let l(p) = -4*p + 58. Let b be l(0). Suppose 2*y + 4*o = b, -3*y - 3*o = -0*o - 102. Let m(f) = 9*f + 62. What is the remainder when y is divided by m(-6)?
7
Let d be 9/(567/(-1254)) - 16/168. What is the remainder when 75 is divided by d*(-3)/24*-9*-2?
30
Suppose 3*p = 6*p - 3*b - 81, -122 = -4*p - 3*b. Let j(w) = -15*w - 8. What is the remainder when j(-6) is divided by p?
24
Suppose -20*y + 9083 = 19*y - 12172. What is the remainder when y is divided by 97?
60
Let z = -26 + 40. Suppose 5*n - 404 = 2*f, 6*f + 325 = 4*n + 5*f. What is the remainder when n is divided by z?
12
Suppose c - 3*m - 236 = 0, -3478 = -4*c - 3*m - 2429. What is the remainder when c is divided by 85?
2
Suppose 604 = 8*z + 77 - 297. What is the remainder when 1748 is divided by z?
100
Suppose -133*i = 3*m - 136*i + 3, 5*i = -4*m + 32. Suppose -3*j = -j - 10. What is the remainder when j is divided by m?
2
Let m = 98 + -81. Suppose l + 12*b - 11*b = 16, -2*l - 5*b + m = 0. Calculate the remainder when 27 is divided by l.
6
Let c = 435 + -437. Calculate the remainder when 36 is divided by -38*(1 - c/((-4)/3)).
17
Let p = -127 - -161. Suppose p*t = 27*t + 119. Calculate the remainder when t is divided by 6.
5
Let b(m) = 6*m + 234. Let x = 5 - 35. What is the remainder when b(x) is divided by 47?
7
Let x = 93 + 62. Let d = -80 + 109. Suppose 0 = -y + 2*u + d, -3*y + 6*u + 107 = 4*u. What is the remainder when x is divided by y?
38
Suppose -h + 159 = q, -8*h - 26*q + 1232 = -28*q. What is the remainder wh