Let u = -313 + 343. Calculate the remainder when 34 is divided by (10/(-6))/(u/(-108)).
4
Let v(h) = 8*h - 37. Let d be v(11). Suppose -3*b + 8*b - 45 = 0. Suppose -2*k - k + d = g, b = -3*g. Calculate the remainder when 30 is divided by k.
12
Let q(a) = a**2 - a + 84. What is the remainder when q(-21) is divided by 53?
16
Suppose a = -4*a + 790. Suppose 4*d = m + a, 0*d - 208 = -5*d - 4*m. Calculate the remainder when (-798)/(-57)*51/6*1 is divided by d.
39
Let n(y) = 18*y + 224. Let w be n(-12). Suppose -c + 2*z + 17 = 0, w*c = 11*c - 3*z - 51. What is the remainder when c is divided by 4?
1
Let t = -85 + 101. Let p = 59 + 3. Calculate the remainder when p is divided by t.
14
Suppose 0 = -5*i, -g + 0*i - i + 21 = 0. Suppose 0 = g*f - 22 - 482. Calculate the remainder when f is divided by 2.
0
Let r = -24237 + 24995. Calculate the remainder when r is divided by 99.
65
Let q = -50571 + 50586. Suppose 3*b - 105 - 102 = -4*k, 2*k + 5*b - 93 = 0. What is the remainder when k is divided by q?
9
Suppose 34 = 14*g - 26 + 4. Calculate the remainder when 54 is divided by g.
2
Let z = -25 + 48. Suppose 3*v - 5*h - 401 = 0, -214 = -2*v - h + 36. Suppose -v*d + 126*d + 6 = 0. Calculate the remainder when z is divided by d.
5
Let j(h) = 80*h**3 + 2*h - 2. Let o be j(2). Suppose 5*r = -0*r + 180. What is the remainder when (o/15)/(8/20) is divided by r?
35
Let c(b) = 2*b**2 - 5*b + 5. Let w be c(1). Suppose 0*y = w*y - 5*z - 164, -3*z + 71 = y. What is the remainder when 384 is divided by y?
76
Let g(b) = -156*b - 683. What is the remainder when g(-9) is divided by 145?
141
Suppose -51 = -4*s + s - 5*c, -9 = 3*c. Let w = 35 - s. Suppose -9*k = -w*k + 20. Calculate the remainder when 14 is divided by k.
4
Suppose -h - 29 = -4*b + 8*b, -h = -b - 1. Let i = b + 11. Suppose 179*q - 185*q = 438*q - 10656. Calculate the remainder when q is divided by i.
4
Suppose -81*z + 1325 = -1672. Let i(h) = -2*h + 1. Let f be i(5). Let y = f + 21. What is the remainder when z is divided by y?
1
Let i = 4538 - 4286. Calculate the remainder when 758 is divided by i.
2
Suppose 178*b - 420 = 339*b - 191*b. Calculate the remainder when 11113 is divided by b.
11
Suppose -4*c = -2*b + 2351 - 6641, -4260 = -4*c - 4*b. Calculate the remainder when c is divided by 29.
26
Suppose 2*m + 2*s = 68, -s + 67 - 223 = -4*m. Calculate the remainder when 5242 is divided by m.
36
Suppose -80*u + 19314 = -43*u. Calculate the remainder when u is divided by 78.
54
Let j(n) = 375*n + 95. Let t be j(2). Let x = t - 512. Calculate the remainder when x is divided by 56.
53
Suppose -3*u = 4*f - 16850, -8404 = -2*f + 6*u - 11*u. Calculate the remainder when f is divided by 74.
73
Suppose -5*c + 464 = -3*b, -2*c + 197 = b - 6*b. Suppose q - 72 = -s, s = 4*q - 202 - c. Calculate the remainder when q is divided by 19.
16
Let b(a) = -6*a**2 + 6*a - 29. Let x be b(-5). Let t = x + 220. What is the remainder when 36 is divided by t?
3
Let k(c) = 4488*c - 756. What is the remainder when k(1) is divided by 532?
8
Suppose -28 = 4*w - 12, -3*t + 5*w = -539. Calculate the remainder when 2774 is divided by t.
6
Suppose 90*q - 22642 = -7882. What is the remainder when 869 is divided by q?
49
Let k(d) = 3*d**2 - 33*d - 504. What is the remainder when k(-18) is divided by 38?
36
Let v be (8 + 16/(-3))/(4/6). Suppose -3*i + 12 = 0, -4*i = v*s - 8*i - 232. Let g = -44 + 55. What is the remainder when s is divided by g?
7
Let l(p) = p**3 - 55*p**2 + 217*p - 5. Let f = -166 + 250. Calculate the remainder when f is divided by l(4).
37
Suppose 5*k + 45 = 3*v, -4*k = -2*k - 6. Suppose 41 = 13*t - 934. Calculate the remainder when t is divided by v.
15
What is the remainder when 6 + (11/77 - (4 - (-62746)/(-14))) is divided by 65?
64
Suppose 3*k - k = 274. What is the remainder when k is divided by (-217)/(-248)*6*(-1 + 5)?
11
Suppose -44 = -3*w - 8. Suppose 3*l + 4794 = 3*y, -13*l + 1590 = y - 10*l. What is the remainder when (y/(-190))/(1/(-5)) is divided by w?
6
Calculate the remainder when 463 is divided by (-867)/1156*1/((-9)/60).
3
Let w be ((-16)/(-10))/(3/15). Suppose 0*r + w = 2*r. Suppose 3*y = -r*y + 203. Calculate the remainder when 86 is divided by y.
28
Suppose -3*u + 3 + 3 = 0. Suppose 4*y = -20, m + u*y - y - 54 = 0. Let d(b) = -b**2 + 22*b + 255. What is the remainder when m is divided by d(30)?
14
Let o(g) = g**3 + 17*g**2 - 18*g - 710. What is the remainder when 2919 is divided by o(-15)?
9
Let a(k) = 10*k**2 - 4*k - 12. Let g be a(-8). Suppose 4*y - 8*y + g = 0. Suppose 9*x - 6 - y = 0. What is the remainder when 72 is divided by x?
15
Let f = -753 - -815. Suppose -198 = -5*m + 417. What is the remainder when m is divided by f?
61
Let v be 1 + 4/(-12)*-3 - 23. Let o be 5/(-10) - v/(-2). Calculate the remainder when o/44*((-3)/3 - 171) is divided by 24.
19
Let m(w) = -2*w**2 + 6*w + 25. Let a be m(5). Suppose -3*v - 2*v - a*h + 655 = 0, -6 = 3*h. Calculate the remainder when v is divided by 26.
3
Suppose 0 = 64*t - 58*t - 210. Suppose 1745 = 3*m + 2*m. Suppose -c - m = -6*c - 2*k, 2 = k. Calculate the remainder when c is divided by t.
34
Let d(g) = -g**2 - 15*g - 35. Let y = -33 - -24. Suppose -2*s + 4 + 18 = 0. What is the remainder when d(y) is divided by s?
8
Let x be (-1)/((-115)/(-20) - 6). Suppose -5*p = -h - 4*h + 805, 0 = -5*h - x*p + 823. What is the remainder when h is divided by 33?
31
Let g be -18*4/((-40)/(-205)). Let y = g + 398. Calculate the remainder when 55 is divided by y.
26
Suppose -2*b - 23 - 1 = 2*o, -4*b + 5*o - 39 = 0. Let f(z) = 2*z**2 + 21*z. Calculate the remainder when 164 is divided by f(b).
10
What is the remainder when 435 is divided by 618/5 - 9/15?
66
Suppose -63*p + 1923 = -4818. What is the remainder when 312 is divided by p?
98
Suppose 68 = 6*c - 4*c. Suppose 5*y - 7 - 13 = 0. Let h(n) = -n + 10. Calculate the remainder when c is divided by h(y).
4
Suppose -2*l = -b - 21, -5*l + 75 = 2*b - 18. Calculate the remainder when 10121 is divided by l.
11
Let c(y) = 3*y**3 + 4*y**2 + 14*y - 68. Let g be c(3). Suppose 0*a - 4*a + 468 = 0. Let n = a - g. Calculate the remainder when n is divided by 12.
2
Let s(b) = -3*b**3 + 30*b**2 + 9*b - 6. What is the remainder when s(-5) is divided by 156?
138
Let o = -390 + 249. Let m = 73 + o. Calculate the remainder when (-119)/m*(0 - -12) is divided by 8.
5
Suppose 28*j - 7754 = 5910. Let u = -454 + j. What is the remainder when u is divided by 28?
6
Calculate the remainder when (-1 - 148/6*(31 - 10))/(-1) is divided by 98.
29
Suppose -2*s = -4*v - 8, 0*s - 6 = -4*s - 2*v. Suppose 0 = -6*u + 148 + s. Let t = 104 + -30. Calculate the remainder when t is divided by u.
24
Let d(m) = m**3 + 33*m**2 - 74*m - 818. What is the remainder when d(-31) is divided by 199?
15
Suppose 0 = -5*f - 4*l + 105, 70 = 2*f + 3*f - 3*l. Let c(m) = m**3 - 17*m**2 + 2*m - 22. Calculate the remainder when 165 is divided by c(f).
9
Let d(r) = -21*r**3 + r**2 - 4*r - 7. Calculate the remainder when 1192 is divided by d(-1).
14
Let z = 1663 - 1655. Suppose -3*k - 6*d + 169 = -4*d, -k = d - 57. What is the remainder when k is divided by z?
7
Suppose 2*l = 5*l - 33. Suppose 0 = 3*h - 275 - 16. Let i = h + -78. Calculate the remainder when i is divided by l.
8
Suppose -f = 4*i - 527, 5*i - 663 = -5*f + 2047. Let a(r) = 8*r + 9. What is the remainder when f is divided by a(2)?
22
What is the remainder when 1840 is divided by 22*(1*-7 + 156 + -148)?
14
Let j = 203 + -202. What is the remainder when j - (12/(-2) - 173) is divided by 13?
11
Suppose 2203 + 3953 = 157*a - 1694. Calculate the remainder when 2613 is divided by a.
13
Suppose 7 = o + 4*o - 3*q, -4*q - 4 = -4*o. Suppose -28 = -a + 16*z - 18*z, 0 = -o*a + 3*z + 28. What is the remainder when 44 is divided by a?
4
Suppose -5*r = -25*r + 2274 + 186. Calculate the remainder when 299 is divided by r.
53
Let u(z) = -20*z + 407. Suppose 84 = 5*k - 3*s, 5*k - 81 = -2*s - 12. Calculate the remainder when u(10) is divided by k.
12
Suppose 30*b - 8552 = 5608. Calculate the remainder when b is divided by 97.
84
Suppose -4*s + 3*l = 5*l - 174, s - 45 = -l. Suppose 0 = 16*c - 2360 - 952. What is the remainder when c is divided by s?
39
Let o(v) = 2*v**2 + 172*v - 2104. Calculate the remainder when o(13) is divided by 152.
