w + z - 277 = 0. Suppose -3*c - 1560*q = -1564*q + 3, c + 4*q = 47. What is the remainder when 4/(-2) + w/(-2) is divided by c?
4
Suppose -14234 + 1454 = -4*v. Let p be (v/(-30))/((45/12)/5). Let n = p - -147. Calculate the remainder when 33 is divided by n.
3
Suppose 3*c = 4*b + 2*c - 7104, b + 5*c - 1797 = 0. Let z = b - 1041. What is the remainder when z is divided by 11?
10
Let x(y) = y**3 - 11*y**2 + 12*y - 10. Let h be x(10). Suppose -h*r + 2*r + 832 = 0. Let z = r - 71. Calculate the remainder when 98 is divided by z.
32
Let i(b) = b**3 - 27*b**2 + 28*b - 40. Let d be i(26). Let j(k) = -k**3 + 11*k**2 + 15*k + 1. Calculate the remainder when 332 is divided by j(d).
36
Suppose -8*h - 30 = 8*f - 7*f, -4*f + h + 111 = 0. Calculate the remainder when 2025 is divided by f.
23
Let r = 263 + -46. Suppose -r = -5*p + 353. What is the remainder when p is divided by 35?
9
Suppose 4*w - 4 = 0, 5 + 1 = -5*h + w. Let l(a) = -56*a + 5. Calculate the remainder when l(h) is divided by 23.
15
Let j(a) = -5*a**2 + 62*a + 15. Let m be j(13). Calculate the remainder when 112 is divided by -8*(-10)/(-12)*108/m.
22
Let p(k) = -25*k - 14. Let n be p(-6). Let q = -87 + n. What is the remainder when q is divided by 25?
24
Let u = -36037 + 36086. Let k = -63 + 129. Calculate the remainder when k is divided by u.
17
Calculate the remainder when 1*5*(-2250)/225*144/(-10) is divided by 198.
126
Suppose -350*p = -363*p + 585. Calculate the remainder when 359 is divided by p.
44
Let q = 3158 - 3115. Calculate the remainder when 2104 is divided by q.
40
Let u(p) = p**3 + 9*p**2 - 8*p. Let n be -2*(-11)/((-66)/24). What is the remainder when u(n) is divided by 65?
63
Let g = 4453 + -4387. What is the remainder when 77 is divided by g?
11
Suppose 0 = 37*k + 104*k - 45543. Calculate the remainder when 615 is divided by k.
292
Suppose -s - c + 2363 = 0, -11895 = -5*s + 82*c - 77*c. What is the remainder when s is divided by 589?
15
Let x = -6023 - -6438. Calculate the remainder when x is divided by 48.
31
Suppose 5*b - 4*i - 14 = 4*b, 5*i = -4*b + 119. Let p(o) = 2*o**2 - 8*o - 4. Let c be p(4). What is the remainder when b is divided by (-3)/c + 33/4?
8
Let u = 15 - -29. Let m = 382 + -468. What is the remainder when u is divided by (45 + 1)/(m - -88)?
21
Suppose 18*t - 5*t - 1768 = 0. Let w = -123 + t. What is the remainder when 57 is divided by w?
5
Calculate the remainder when (6 + -1 - -5) + (23 - -1643) is divided by 20.
16
Suppose -66 = -6*j + 18. Suppose -4*i + j = 3*i. Suppose i*b - 5*c = 159, b + 74 = 2*b + 3*c. Calculate the remainder when b is divided by 26.
25
Suppose -2*a = -24 + 10. Let r be (-274)/(-14) - (-3)/a. Calculate the remainder when r/3 + ((-12)/(-9) - 1) is divided by 5.
2
Suppose -4*k - 4*g + 404 = 0, -97 = 2*g - 107. Calculate the remainder when k is divided by 33.
30
Suppose -5*x - 5*v + 17925 = 0, 412*x - 7185 = 410*x + v. What is the remainder when x is divided by 30?
20
Let p(r) = 14*r**2 + 2*r - 4. Let h = 22 - 20. Suppose 5*l = 3*n + 106, 8*n = -4*l + 4*n + 72. Calculate the remainder when p(h) is divided by l.
16
Calculate the remainder when (-323554)/(-1815) - (-3)/(-5) - (-4)/(-6) is divided by 299/5 - 4/(-20).
57
Suppose -5*h = -8*l - 625, 0 = 3*l + l. What is the remainder when 439 is divided by h?
64
Calculate the remainder when 154 is divided by 14 + -4 + 41 + 21.
10
Let v be (-4)/16 - 54/(-24). Let y be 11/(-2)*(v + 0 + -4). Suppose -y*i = -132 - 77. Calculate the remainder when i is divided by 8.
3
Let k be (6/(-4))/((-5)/20). Suppose -18 = k*a - 48. What is the remainder when ((-164)/a)/(14/(-35)) is divided by 17?
14
Suppose 3*g - 396 = -g. Suppose -p = 3*i - 90, 2*p = 5*i - 2*i - g. Let q = i - 14. What is the remainder when 63 is divided by q?
12
What is the remainder when 986 is divided by 92/184 - (-85)/2?
40
Let j = -1445 + 1457. Calculate the remainder when 100 is divided by j.
4
Calculate the remainder when 126 is divided by (-6)/((-24)/212) + 80/(-16).
30
Let i(r) = 2*r**3 - 57*r**2 + 9*r + 63. Calculate the remainder when i(29) is divided by 53.
52
Let r(k) be the first derivative of k**3/3 - 11*k**2/2 + 12*k - 13. Let p be r(19). Suppose p = 2*w + 2*w. Calculate the remainder when 81 is divided by w.
40
Let w = -764 + 826. What is the remainder when 1301 is divided by w?
61
Let u be (2/4)/((-163)/54 + 3). Let p = 2 - u. Calculate the remainder when p is divided by 18.
11
Let g = 109 - 75. Suppose 70 + g = p. Let h = 205 + -190. Calculate the remainder when p is divided by h.
14
Let v(z) = 11*z**2 + 12*z**2 - 12*z**2 + 27*z - 3*z - 3 + z**3. What is the remainder when 92 is divided by v(-7)?
17
Let h(x) = 6*x**3 - 11*x**2 - 2*x + 27. Let r be h(-5). Let b = -535 - r. Calculate the remainder when b is divided by 24.
21
Let z = -1290 + 1382. What is the remainder when z is divided by 40?
12
Let r(y) = y**2 - 2*y + 9. Let h be r(-7). Suppose 3*s - 105 = h. Suppose 0 = 266*u - 366*u + 2100. What is the remainder when s is divided by u?
17
Suppose 0 = -87*c - 1478 + 2000. What is the remainder when ((-16)/(-2))/((-3)/(-6)) is divided by c?
4
Suppose -5*j + 247 = 3*x, 11*j - 7*j - 198 = -2*x. What is the remainder when 4297 is divided by j?
47
Let n be (-4 - (-3)/1) + 6. Suppose 0 = -5*d - d. Suppose 109 = n*j + 4*w, d*j + 9 = j + 4*w. Calculate the remainder when 68 is divided by j.
18
Let j(p) = -43*p - 1795. Calculate the remainder when 12318 is divided by j(-44).
96
Suppose -588 + 9 = -3*s. Suppose 0 = 7*k + 353 - 521. What is the remainder when s is divided by (-40)/k*-12 + -6?
11
Suppose 2*g + 5*v - 56 - 12 = 0, -184 = -4*g + 2*v. Suppose 0*r + g = 3*p - 2*r, 0 = p - 5*r - 32. Calculate the remainder when 22 is divided by p.
10
Suppose -11*r = -9*r + 2*t - 2154, -3*r = -2*t - 3216. What is the remainder when r is divided by 108?
102
Let h(o) = 15*o - 33. Let y be h(-9). Let k = y + 172. Suppose -3*l - 5*a = -20, 0 = -5*l + 4*a - 35 + 93. Calculate the remainder when l is divided by k.
2
Let l(z) = -874*z - 4720. Calculate the remainder when l(-7) is divided by 203.
180
Let u(q) = q**3 - 14*q**2 - 71*q - 24. Let r be u(19). Let n = r - 251. What is the remainder when n is divided by 37?
33
Let f = -1856 - -837. Let l = 1654 + f. Calculate the remainder when l is divided by 53.
52
Suppose -n + 2 = 0, 2*s - 8 = 3*n - 7*n. Suppose 4*u - 4*a - 22 = 14, s = 2*u + 5*a + 17. Calculate the remainder when 24 is divided by (-1)/4*-55 + u/16.
10
Suppose -5*d - 17 + 147 = -3*i, -20 = -4*i. What is the remainder when 11683 is divided by d?
25
Let l(p) = p**3 - 7*p**2 - 10*p + 12. Let b be l(8). Let a be -1 - (b + 27/2)*-12. Suppose a*h - 226 = 111*h. Calculate the remainder when h is divided by 29.
26
Suppose 4*w + 5*g - 36 = 0, 3*w + 2*g + 45 = 8*w. Let i = -6955 + 6975. What is the remainder when i is divided by w?
2
Let d be -61 - 0 - ((-4)/4 - 2). What is the remainder when 71 is divided by ((36/10)/(-3))/(d/580)?
11
Let y(u) = -3*u**3 - 6*u**2 - u + 1. Let r(n) = -2*n**2 - n - 2. Let p be r(0). Calculate the remainder when y(p) is divided by 2.
1
Suppose -17*p + 247 + 246 = 0. Calculate the remainder when 1144 is divided by p.
13
Let y = -37 + 40. Suppose -2*a = -3*b + 826, -4*b = -0*b - 2*a - 1104. Suppose 88 = -19*q + b. Calculate the remainder when q is divided by y.
1
Let d = 3039 - 3030. Calculate the remainder when 168 is divided by d.
6
Suppose 12*q - 6781 - 1955 = 0. Calculate the remainder when q is divided by 12.
8
Let k(y) = y**2 - 7*y - 51. Let g = 23 - 29. What is the remainder when 75 is divided by k(g)?
21
Let l = 379 + -375. Suppose w + 46 = 4*o, -2*o - l*w + 29 + 3 = 0. Let k(m) = m**3 + 6*m**2 + m - 6. Calculate the remainder when k(-5) is divided by o.
2
Let z = -212 + 242. Calculate the remainder when z is divided by 8.
6
Suppose -2*i = -13 + 7. Let o(w) = 2*w**2 - 9*w - 13. Let a be o(6). Suppose 3*h = a*h - 24. Calculate the remainder when h is divided by i.
0
Let x(c) = 3*c**2 + 3*c - 3. Let v(s) = s**2 + 2*s - 9. Suppose -3*u = -q - 5, -5*q + 3*u = -0*q - 11. What is the remainder when x(-5) is divided by v(q)?
12
Suppose 0*i - 4*h - 28 = -2*i, 2*i + 2*h - 28 = 0. Suppose -695*w + 12 = -2073. Calculate the remainder when i is divided by w.
2
Suppose 76*z = 108*z - 384. What is the remainder when 489