
What is the remainder when 18708 is divided by (-20)/4 + -6 + (-1 - -193) + 8?
186
Let u(v) = 19*v**2 + 52*v + 10. What is the remainder when u(7) is divided by 432?
9
Suppose -2*b = -4, 4*f - 156 - 44 = 4*b. Suppose 2*h - 758 = l - 722, 3*h - l = 56. What is the remainder when f is divided by h?
12
Let u(x) = -x**3 - 9*x**2 + 27*x - 53. Calculate the remainder when 272 is divided by u(-13).
0
Suppose -3*x + 4*l = 11 - 112, 3*x - 2*l = 109. Let f = 139 - 135. Suppose -f*a + 36 = -24. What is the remainder when x is divided by a?
9
Suppose 11*d = 10*d + 6, 5*m - 2*d = 10788. What is the remainder when m is divided by 697?
69
Let u be (1/2)/((-11)/(-726)). Let z be 12/(-2)*(-11)/u. Suppose -16 = -3*v + 2*h, 3*h = -z*v - v + 21. What is the remainder when 28 is divided by v?
4
Suppose 65*b = 26*b + b + 2660. Calculate the remainder when 211 is divided by b.
1
Suppose 4016 = 2*i + 3*u, -5461 = -4*i - u + 2541. Calculate the remainder when i is divided by 25.
24
Let r be (-2 - -5) + 45 + 0. Let u = 146 - r. Let y = 117 - u. What is the remainder when y is divided by 3?
1
Let b(t) = -t**3 + 14*t**2 - 12*t - 4. Let h be b(13). Suppose 2*z - h = 5*z. What is the remainder when 57 - (-8)/(-2) - z is divided by 19?
18
Suppose t - 2*v = v - 1, -3*t = -2*v + 24. Let u be (0/(-2))/(6 + t - -6). Suppose u = -2*k + 24 + 22. Calculate the remainder when 66 is divided by k.
20
Let i = 2044 + -2020. Let x(z) = 8*z - 3. Calculate the remainder when i is divided by x(2).
11
Suppose 6*j - 35 = -j. Suppose 2*b - j*b + 24 = 0. Let h(s) = -s**3 + 9*s**2 - 5*s - 5. What is the remainder when 67 is divided by h(b)?
10
Suppose 3*j - 4 = j. Let o(b) = -2*b**3 - 2*b**2 + 2*b + 3. Let x be o(-2). Suppose -9*f + x + 11 = 0. What is the remainder when j is divided by f?
0
Let l(a) = -5*a. Let r be l(-3). Suppose 4*q - r = 21. Calculate the remainder when (-1)/((-9)/(-288)*-2) is divided by q.
7
Suppose -4*t - 253 = -5*p, 1 = -2*t - 3. Suppose 833 + 37 = 6*l. What is the remainder when l is divided by p?
47
Let s(o) = o**3 + 19*o**2 - 3*o + 1. What is the remainder when 250 is divided by s(-19)?
18
Suppose i - 78 = -g - 2*g, -2*i = 2*g - 172. Let h = i - 32. Let k = h + -53. What is the remainder when 19 is divided by k?
4
Let v(w) = 1. Let x(u) = -u - 8. Let p(m) = -6*v(m) - x(m). Let k(d) = d**2 + 4. Let l be k(0). What is the remainder when p(l) is divided by 4?
2
Let x(d) = -10*d**2 - 81*d + 9. What is the remainder when 350 is divided by x(-8)?
10
Calculate the remainder when 9311 + (-16 - (-16 + 24)) is divided by 72.
71
Suppose 0 = -110*o + 1665 + 1965. Let i(l) = -5*l - 7. What is the remainder when o is divided by i(-5)?
15
Let g(t) be the first derivative of t**3/3 + 5*t**2/2 + 26*t + 25. Let m be g(-17). Suppose -m - 85 = -5*p. What is the remainder when p is divided by 13?
11
Let c be 20/(-25) + ((-138)/(-5))/2. Suppose -c - 16 = -x. Let t = x - 17. Calculate the remainder when t is divided by 4.
0
Suppose 7*w - 4*w + 10 = h, -5*h = -5*w - 30. Suppose -h*b - 17 = -197. Calculate the remainder when 133 is divided by b.
43
Let g be 11/(-44) - 314/(-16)*2. Let c = g + -57. What is the remainder when 38 is divided by (13/3)/((-6)/c)?
12
Let y = -21324 - -25691. What is the remainder when y is divided by 39?
38
Suppose -67 = 5*i - 202. Let j = -2686 + 2815. Calculate the remainder when j is divided by i.
21
Suppose 0 = 5*i + 5*v - 85, -47*i + 49*i - 14 = 3*v. Let w(r) = 2*r - 3. Let a be w(8). Let o = a + -4. What is the remainder when i is divided by o?
4
What is the remainder when 18423 is divided by (-134 - -152) + (-1 - -50)?
65
Suppose -2*c = -4*r - 414, 0 = -2*c + 5*r - 1571 + 1992. Let g(d) = d**2 + 2*d + 1. Calculate the remainder when c is divided by g(6).
46
Let q = -397 + 655. Let d(x) = -58*x - 4689. What is the remainder when q is divided by d(-81)?
6
Let k(o) = o + 3. Let y be 2/(-1) + (1 - -6). Suppose 7 = 2*q - 3, 3*d = y*q + 8. What is the remainder when 53 is divided by k(d)?
11
Suppose 11*u - 555 = -5. Let d be (2 + (-3 - 2))*-3. Suppose -4*w + d + 43 = 0. Calculate the remainder when u is divided by w.
11
Suppose -5*b - 3*s + 75 = 0, -b + s + 14 + 9 = 0. Let g(f) = 19*f + 526. Calculate the remainder when g(-26) is divided by b.
14
Let q(n) = n**3 - 6*n**2 + 5*n + 9. Let t be q(5). Suppose t*h = 6*h - 2*a - 39, 4*h = -4*a - 52. Let g = h + 18. What is the remainder when 12 is divided by g?
2
Suppose 4*z - 15*o - 167 = -16*o, -2*z + 3*o + 101 = 0. Calculate the remainder when 163 is divided by z.
34
Suppose 5*y - 47 = -3*s + 4, -2*s = 2*y - 34. Calculate the remainder when 73 is divided by s.
5
Let c(r) = r**2. Let z(y) = -2*y**2 - 3*y - 12. Let u(l) = 3*c(l) + z(l). Let w = 2310 - 2302. What is the remainder when 110 is divided by u(w)?
26
Let w(t) = 10*t + 22. Let y = 299 - 301. What is the remainder when 2 is divided by w(y)?
0
Suppose -38 = -3*l + l. Suppose -4*q - 93*u = -92*u - 272, 0 = -3*q - 5*u + 221. Calculate the remainder when q is divided by l.
10
Suppose -44 = 2*r + 2*r. Let j(k) = k**3 + 10*k**2 - 15*k - 5. Let t be j(r). Let s = 11 + t. Calculate the remainder when 148 is divided by s.
48
Let r be 11/44 - 19/(-4). Suppose -r*n - 4*g = -7*g - 12, -5*n = 4*g - 19. Suppose n*l = 34 - 4. What is the remainder when 89 is divided by l?
9
Let d be -11 + 15 + (129*1 - -2). Suppose 3*w - 2*r - d = r, -3*w + 100 = 4*r. What is the remainder when 199 is divided by w?
39
Let t = -290 - 39. Let n = t + 342. Calculate the remainder when 100 is divided by n.
9
Suppose -228 = 16*m - 19*m + 3*w, 5*m - 380 = -2*w. Calculate the remainder when m is divided by -57*1/(3/(-2)).
0
Let u(l) = l**2 - 10*l + 37. Calculate the remainder when 2744 is divided by u(12).
60
Let f(q) = 13*q - 114. Let p be f(14). Suppose 2*r + 8 = p. Calculate the remainder when r is divided by 12.
6
What is the remainder when 5498 is divided by (3 + (-403)/91)/(3/(-231))?
108
Suppose 2610 + 1134 = 8*v + 24*v. What is the remainder when 7603 is divided by v?
115
Let q(f) = f + 124. Suppose 3*k = -45*a + 47*a + 101, 6*k + 4*a = 290. What is the remainder when q(0) is divided by k?
1
Suppose -3*a = 2*a + k - 1525, -5*k - 915 = -3*a. Let o = a - 300. Calculate the remainder when 17 is divided by o.
2
Suppose 24*y + 77*y - 1414 = 0. What is the remainder when 471 is divided by y?
9
Suppose -23 = -3*l - 8. Let m be (-3)/3 - (-24)/(-3). Let t = m - -23. What is the remainder when t is divided by l?
4
Suppose -3*c = -n + 38 - 7, 7*n = -2*c + 378. Calculate the remainder when 1565 is divided by n.
5
Let p(g) = 32*g**2 - 6*g + 7. Let o be p(3). Let v = o - 274. Calculate the remainder when 21 is divided by v.
0
What is the remainder when 28 is divided by (0 + -1)*(-276)/92?
1
Let q(f) = 2*f**2 - 2*f. Let o = 23 - 110. Calculate the remainder when (-6)/2 + (-5 - o) is divided by q(3).
7
Let v(s) = -26*s - 34. Calculate the remainder when 9199 is divided by v(-9).
199
Let v be -3 + 2 + -3 + -3. Let t = v - -19. Calculate the remainder when ((-6)/(-4))/(6/132) is divided by t.
9
Let c(n) = -14*n**3 + 18*n + 13*n**2 - 29 + 13*n**3 + 54. What is the remainder when c(14) is divided by 42?
39
What is the remainder when 937 is divided by 327/763*(-8 + 1) - -239?
229
Let g(p) = -6*p - 86. Let j(o) = 8*o + 129. Let l(a) = -8*g(a) - 5*j(a). What is the remainder when l(10) is divided by 62?
61
Suppose 20*t + 64*t - 2268 = 0. Calculate the remainder when ((-1092)/(-8) + 0)*(-2)/(-3) is divided by t.
10
Let d = -7127 + 7146. Let w(u) = u**2 - 2*u - 3. Let c be w(5). Suppose -3*m + 6*m - d = h, 4*h + c = 4*m. What is the remainder when 29 is divided by m?
5
Suppose 0 = 3*d + 3*k + 96, 0*d + 4*k - 160 = 5*d. Let x = 128 - 69. Let u = x + d. Calculate the remainder when 80 is divided by u.
26
Suppose 0 = c - 0 - 8. What is the remainder when (0 + (-6)/12)*(2 + 0)*-23 is divided by c?
7
Suppose -14*c + 3*d = -10*c - 111, -3*c + d = -82. What is the remainder when 186 is divided by c?
24
Suppose -7*f + 4*o + 148 = -3*f, -2*f = -3*o - 76. Let j = -22 + f. Suppose -129*m + 149*m = 2540. What is the remainder when m is divided by j?
10
Suppose 6*h - 48 = -4*l + h, 0 = -l + 2*h - 1. Suppose 2*x - 23 = l. Let f = 26 - x. Calculate the remainder when 52 is divided by f.
8
Let f = 27 - 24. Suppose 4*v - 85 = -