. Let g = c - 41. Suppose -p + 511 = 5*b + p, 2*p - 208 = -g*b. What is the remainder when b is divided by 17?
16
What is the remainder when -7 + 10 + 6*605/10 is divided by 31?
25
Suppose 110*n = 4379 + 7156 + 2655. Calculate the remainder when n is divided by 50.
29
Let u(t) = 7*t**3 - 43*t**2 - 3*t + 51. Let i(z) = -3*z**3 + 21*z**2 + 2*z - 25. Let w(v) = 5*i(v) + 2*u(v). What is the remainder when w(19) is divided by 14?
11
Let b(x) = x**3 + 106*x**2 - 107*x + 848. Calculate the remainder when b(-107) is divided by 37.
34
Let q = 241 - 231. Let y be 4 + 0/((-4)/(-2)). Let t = q - y. What is the remainder when 6 is divided by t?
0
Suppose -11*u = -13*u + 716. Suppose 4*l - 81 - 206 = 3*t, 5*l - 3*t - u = 0. Suppose 2*c + 3 = -3, c + 39 = a. What is the remainder when l is divided by a?
35
Let u(x) = -2*x**3 - 7*x**2 - x + 7. Let j(q) = 0 - 4*q**2 + q - 586*q**3 - 3 + 588*q**3. What is the remainder when u(-5) is divided by j(3)?
15
Suppose -1258*b + 1259*b - 4*a = -4, -4*b = -4*a - 8. Calculate the remainder when 17 is divided by b.
1
Let a = 800 + -540. Suppose -4*q + 2*c + a = -72, 3*c + 158 = 2*q. Suppose 3*n - q = 26. What is the remainder when 108 is divided by n?
34
Let c = 16492 - 15667. What is the remainder when c is divided by 28?
13
Let s(f) = -298*f + 7120. Calculate the remainder when s(23) is divided by 12.
2
Let l be 82/14 + 5/35 + 0. Let r(x) = 117*x - 16. Let b be r(l). Suppose 3*h - 448 - 242 = 3*c, -3*h - c = -b. What is the remainder when h is divided by 21?
19
Let y be 808/15 - (-36)/270. Suppose 34 = 4*q - y. What is the remainder when q is divided by (13/(-3) - -2)/((-2)/6)?
1
Suppose 2*w - 3 = -3*w + 4*j, w = -j + 6. Suppose -2*c = k - 317, -w*c + 6*c + 2*k = 477. Let n = -25 + 65. Calculate the remainder when c is divided by n.
37
Let r be 3/(-9) - 10/(-3). Suppose 0 = c + 5*o - 3, c = -2*c - 3*o - r. Let b(v) = 2*v**2 + 6*v + 6. What is the remainder when 15 is divided by b(c)?
1
Let g(l) = 1. Let f be (-1)/(2/4)*3/(-6). Let s(a) = a**2 - 2*a - 9. Let t(p) = f*g(p) - s(p). What is the remainder when 36 is divided by t(0)?
6
Suppose a = 5*r + 348, -3*r - 201 = -3*a + 5*a. Let s = r + 100. Let l = s + -25. What is the remainder when 8 is divided by l?
2
Let f(a) = 31*a - 34 + 9 - 10*a. Calculate the remainder when 50 is divided by f(2).
16
Let u = -57 - -116. Suppose 44*i = -53*i + 194. Calculate the remainder when u is divided by i.
1
Let j = -41 - -69. Suppose -a + 2 = -4*h + j, -a = 2. What is the remainder when h is divided by 3?
0
Let q(y) = -3*y + 68. Suppose 12*f - 11 = 11*f - 3*i, -2*f - 3*i + 28 = 0. Calculate the remainder when 200 is divided by q(f).
13
Suppose -165 = -3*w - 2*w. Let r(b) = -b**3 - 36*b**2 - 110*b - 356. Calculate the remainder when w is divided by r(-33).
5
Suppose -5*a + 39*m = 43*m - 1055, -4*m = -a + 187. What is the remainder when a is divided by 56?
39
Let x(k) = 198*k**3 - k**2 + 3*k - 2. Let t be x(1). Let c = 666 - t. Suppose -c = -8*g - 52. Calculate the remainder when g is divided by 9.
7
Let u = -23 - -31. Let f = -24 + 31. Suppose -3 = -2*x - f, -4*w = -4*x - 52. What is the remainder when w is divided by u?
3
Let m(k) = 8*k + 26. Let f(r) = r**3 - 41*r**2 - 40*r - 53. Calculate the remainder when m(16) is divided by f(42).
30
Suppose -32*t - 17976 = -2*x - 28*t, 8981 = x - t. What is the remainder when x is divided by 272?
270
Let a be ((-5)/5)/(1/25). Let k = 78 + -46. What is the remainder when (-295)/a*15/3 is divided by k?
27
Let s = -10763 + 12002. Calculate the remainder when s is divided by 208.
199
Suppose -84*a + 774 = 15*a - 414. Calculate the remainder when 192 is divided by a.
0
Suppose -4*o + 5*k + 40 = 0, 3*o + 0*k - 25 = 5*k. Calculate the remainder when 3021 is divided by o.
6
Let l = -24031 - -24068. What is the remainder when 1554 is divided by l?
0
Let f = 805 + -744. Suppose -5*q = -i - 63 - 36, -3*q = i - f. What is the remainder when 277 is divided by q?
17
Let v = -184 - -112. Let h = 91 - v. Calculate the remainder when h is divided by 34.
27
Suppose 0 = 7*j - 2*j + 3*g - 1064, g = -3*j + 640. Suppose -b - 18 = -5*c, -5*b + 5*c - 466 + 476 = 0. What is the remainder when j is divided by b?
4
Let b = -386 + 392. Calculate the remainder when 27 + 20/15 + (-1)/3 is divided by b.
4
Let n(l) = -6*l - 33. Let d be n(0). What is the remainder when 4 is divided by d/(-15) - 19/95?
0
Let c = 13125 + -10805. Calculate the remainder when c is divided by 54.
52
Let q(i) = 2*i**2 + 4*i - 59. Calculate the remainder when 84 is divided by q(-9).
17
Suppose 0 = -45*v + 266 + 274. Calculate the remainder when 2073 is divided by v.
9
Suppose 3*o - 36 = -3*v, 486*v = 487*v - 2*o - 6. What is the remainder when 423 is divided by v?
3
Suppose 2*z + 5 = y + 235, y - 575 = -5*z. Calculate the remainder when 477 is divided by z.
17
Suppose -26 - 79 = -15*r. Suppose -r*t = -79 - 19. What is the remainder when 45 is divided by t?
3
Suppose 3*s = -9*t + 6*t + 66, -110 = -5*t + 2*s. Calculate the remainder when 1031 is divided by t.
19
Let o(m) = -m**3 + m**2 - 2*m - 15. Let k = 17 + -17. Let d be o(k). Let r(l) = l**3 + 17*l**2 + 30*l + 16. Calculate the remainder when 44 is divided by r(d).
12
What is the remainder when 2146 is divided by (-15*(-15)/27 + -8)*42?
4
Let z(n) = 125*n + 236. Calculate the remainder when z(5) is divided by 174.
165
Suppose -125 - 63 = -4*f. Suppose -v + 5*c - 4*c = -f, -5*v + 233 = -4*c. What is the remainder when v is divided by 28?
17
Let w(i) = i**2 + i - 22. Suppose 30 = -2*r + 8. Calculate the remainder when w(r) is divided by 32.
24
Suppose -3*r - 3237 = -3*f, 2*f + 0*r + 2*r - 2182 = 0. What is the remainder when f is divided by 34?
31
Suppose -45 + 85 = -10*r. Calculate the remainder when (9 + r)/(-20) - (-1012)/16 is divided by 23.
17
Suppose 134 = 18*k + 62. Suppose k*c - 16*c + 60 = 0. What is the remainder when 42 is divided by c?
2
Let x(c) = -c**2 - 35*c - 90. Let y be x(-32). Calculate the remainder when 62 is divided by (-9 + y)*32/(-3).
30
Suppose 106*v = 107*v. What is the remainder when (v - -1)/((-8)/(-456)) is divided by 15?
12
Suppose -2*p = -5*b + 65 + 99, 128 = -2*p - 4*b. Let y = 1526 - 1437. Let j = y + p. Calculate the remainder when 32 is divided by j.
15
Suppose k = -k - v - 4, 2*v = -8. Suppose -2*b = y - 1002, y + b - 3*b - 1002 = k. What is the remainder when y/5 - (-10)/(-25) is divided by 29?
26
Let y(u) = 83*u - 17. Let n be y(1). Suppose n = 13*k - 155. Calculate the remainder when k is divided by 3.
2
Let u(j) be the third derivative of -1/24*j**4 + 11*j**2 + 5/2*j**3 + 0 + 0*j. Calculate the remainder when u(-6) is divided by 11.
10
Let r = 60 + 6. Suppose 0*n + n - r = 0. Suppose -101 + 230 = -u + 13*w, 3*u - 2*w = 20. Calculate the remainder when n is divided by u.
10
Suppose 28 = -7*a + 5*a. Let y be 18/63 + (-2320)/a. Suppose -7*b + 2*b + 2*t = -277, -t = -3*b + y. What is the remainder when b is divided by 14?
13
Let u(p) = -14*p + 34. Let s be u(7). Let q = s + 70. What is the remainder when 2/5 - (-686)/10 is divided by q?
3
Suppose 5*u + 16 = k + 68, 4*u - 2*k = 44. Let w = 95 - u. Let j = 23 + w. Calculate the remainder when j is divided by 14.
10
What is the remainder when 10724 is divided by ((-6)/9)/(6 + (-10816)/1800)?
74
Suppose -b + 3*d + 26 = 0, 25 = -b + 2*b - 2*d. Suppose 0 = 47*s - 42*s - 10. Suppose s*z - 11*z = -54. What is the remainder when b is divided by z?
5
Suppose 82 = -26*m + 24*m. Let c = m - -93. What is the remainder when -5*6/(-15) + 192/2 is divided by c?
46
Let v(p) = 4*p**3 + 3*p**2 + 281*p - 1158. What is the remainder when 3236 is divided by v(4)?
266
Let x be (9/6)/(3/4). Suppose -4*l - 8 = -2*i, -2*i - 4*l + 16 = x*i. Let j = 1674 - 1656. Calculate the remainder when j is divided by i.
2
Suppose 0 = -2*p + r + 46, 1 = r - 3. Suppose 1 = -2*v - 19. Let a = -1 - v. Calculate the remainder when p is divided by a.
7
Let s(r) = -r**2 - 4*r + 10. Let c be s(-5). What is the remainder when 37 is divided by 200/52 - (c - (-134)/(-26))?
1
Let y = 23125 - 21534. Calculate the remainder when y is divided by 2.
1
Let y be 5/(-1*3/(-6)). Let z = 62 + y. Calculate the remainder when 286 is divided by z.
70
Let i = 46546 - 25885. Suppose -26*n - 4723 = -i. Calculate the remainder wh