What is the remainder when (-45)/(-6)*p/12 is divided by 4/24*(210/(-14) - -39)?
2
Let r be -32 - -34 - 0/1. Suppose -b + 4*d + 61 = r*b, 2*b - 5*d = 36. What is the remainder when (2/(-4))/(1/(-228)) is divided by b?
22
Suppose 0 = -p + 5, 5*w - 5*p - 1543 - 14622 = 0. What is the remainder when w is divided by 98?
4
Let q(r) = -r**2 - 6*r - 1. Let p be q(-6). Calculate the remainder when (272/12)/(p/(-3)) is divided by ((-1720)/100 - -17) + 96/5.
11
Suppose -4*r - 556 = -3*v + 210, 4*v = -r + 996. Calculate the remainder when v is divided by 63.
61
Let r be (-7)/((-21)/6) - -3. Suppose -50 = -5*l - r*l. Suppose 2*j - 267 = -l*c, c - 2 - 1 = 0. Calculate the remainder when j is divided by 33.
27
Let y(c) = -3 - 4 - 1056*c + 1061*c. Let p = -31 + 42. What is the remainder when y(p) is divided by 13?
9
Let b(l) = -233*l - 2997. Calculate the remainder when b(-17) is divided by 161.
159
What is the remainder when -15 + 17 + 1 + 21 is divided by (1 - 0) + (-6)/(-1)?
3
Let a(h) = -16*h**2 - 88*h + 6. What is the remainder when 1083 is divided by a(-5)?
25
Suppose -l = -2*o + 1, -43 = 222*l - 227*l + 4*o. Suppose 30 = 5*u - 10. Calculate the remainder when l is divided by u.
7
Let c(a) = 5*a - 18. Suppose -48 = -n - 2*d, d = -5*n - 2*d + 261. Let i = 81 - n. Calculate the remainder when i is divided by c(5).
6
Let c(h) = h**2 + 16*h + 10. Let v be c(-6). Let k = -41 - v. Calculate the remainder when ((-8)/(-4)*11)/(6/k) is divided by 20.
13
Suppose -16 = -7*r - 2. Let n(t) = 9*t + t**3 - 7 + t**2 - 15*t**2 + 9*t**r. What is the remainder when n(7) is divided by 39?
37
Let j(i) = -i**3 + 3*i**2 + 766*i - 6399. Suppose q + 408 = 3*q. Calculate the remainder when q is divided by j(9).
6
Suppose -4*f = -49 - 143. Let x = -1300 + 1335. Let t(k) = 11*k - 368. Calculate the remainder when f is divided by t(x).
14
Suppose 9*z - 38*z + 203 = 0. Let n be (-1140)/(-100) - 2/5. Calculate the remainder when n/(2/(-2 + 4)) is divided by z.
4
Let a(y) = 8*y - 16. Suppose -r = -0 - 4. Suppose -u = -3*g - 4, u - 3*g + 12 = r*u. What is the remainder when 45 is divided by a(u)?
13
Let g be (4 + 0)*(-4 + 3). Calculate the remainder when g/22 + 756/44 is divided by 11.
6
Let j(c) = -c**3 + 8*c**2 + 12*c - 6. Let r be j(9). Let u = -6 + 19. Calculate the remainder when u is divided by (4 - 2)/(r/42).
1
Let b = 10540 - 10441. What is the remainder when 273 is divided by b?
75
What is the remainder when 27640/98 + 72/(-1764) is divided by 15?
12
Suppose 4*k = 2*u + 1402, 0 = u + 3*k + 337 + 384. Let z = -658 - u. Calculate the remainder when 199 is divided by z.
46
Calculate the remainder when 1606 is divided by ((-91)/13 + -40)/((-1)/17).
8
Let d(q) = 799*q + 1130. Calculate the remainder when d(7) is divided by 164.
163
Suppose 4*z = 16 + 32. Calculate the remainder when (-8)/(-9) + 46690/1035 is divided by z.
10
Let p(i) = 8*i**2 + 5*i + 4. Let t be p(-1). Suppose 78 = t*h - h. What is the remainder when h is divided by (-1)/3 - (-7)/3?
1
Let n(g) = 24*g**2 + 19*g + 20. What is the remainder when 45 is divided by n(-1)?
20
Let g(t) = 61*t + 320. Calculate the remainder when 372 is divided by g(-5).
12
Suppose -72*x + 11006 + 3083 = -1823. What is the remainder when x is divided by 69?
14
Suppose 13*q - 222 - 259 = 0. Suppose 3*w - q - 464 = 0. Calculate the remainder when w is divided by 43.
38
Let u = -20962 - -20991. What is the remainder when 172 is divided by u?
27
What is the remainder when -2*2/(4/(-4769)) is divided by 53?
52
Let v(a) = -a**3 + 3 + 4*a**2 + 43*a - 6*a - 9*a. What is the remainder when 65 is divided by v(7)?
13
Suppose 5*r = 3*a - 0*r - 10, 0 = -5*a - r - 2. Calculate the remainder when (a/1)/(-3) + 279 + -16 is divided by 33.
32
Let c(f) = 2*f**3 + 17*f**2 + 7*f - 4. Let a be c(-8). Suppose 7*x = a*x + 21. What is the remainder when -11*2/(2 - 4) is divided by x?
4
Suppose -4*y + 3*c = 6*c, 3*y + c - 5 = 0. Suppose 4*v = 0, 2*v + 76 = -t - y*t. Let u = t - -24. Calculate the remainder when u is divided by 3.
2
Let a = -17869 + 22417. Calculate the remainder when a is divided by 91.
89
Let p(u) = 2*u**2 - 280*u + 4212. Calculate the remainder when 2993 is divided by p(17).
23
Suppose 0 = -10*z + 1570 - 380. Let i = 269 + -254. What is the remainder when z is divided by i?
14
Suppose -22*d - 24310 = -8*d - 69*d. Calculate the remainder when d is divided by 31.
8
Let p be -3 + 2/(-8)*-4. Let u(b) = 3*b**3 - 2*b**2 - 4*b - 2. Let s be u(p). Let l = -13 - s. What is the remainder when l is divided by 4?
1
Let f = -730 + 694. Calculate the remainder when -2 + 15/6 - 6606/f is divided by (93/6)/((-1)/(-2)).
29
Let i(n) = 14 + 2*n**2 + 712*n + 709*n - 1422*n - n**3. Suppose 5*s = 4*q + 25, -q + 5*s = 11 + 14. Calculate the remainder when i(q) is divided by 5.
4
Suppose 5*x = -3*a + 107, -1242*x = -1241*x + 2*a - 20. Suppose -4*m = -m - 429. Calculate the remainder when m is divided by x.
11
Let m be 4/(-12)*-3 - (-1 + -17). Suppose b - m = 4*o, 3*b - 4*b + 3*o = -20. Calculate the remainder when b is divided by 3.
2
Let z be (-676)/(-32) - (1 + 35/(-40)). Let b be (-12)/(-8)*8/6. Suppose b*c + z = 53. What is the remainder when 159 is divided by c?
15
Suppose 99 = z - 4*z. Let f be 14/4*(6 - 15 - -5) - -2. Let h = f - z. What is the remainder when h is divided by 8?
5
Let x(a) = -3*a + 90. Let l be x(-22). Let i = l + 183. What is the remainder when i is divided by 34?
33
Let j = 142 - 50. Suppose -63 - 270 = -4*a + 3*h, -2*a + 2*h = -168. What is the remainder when a is divided by 1/(((-8)/j)/(-2) + 0)?
12
Let y(v) = 4*v**2 + 122*v - 154. What is the remainder when 529 is divided by y(-32)?
35
Suppose -i + 0*i - 3*y + 64 = 0, 0 = 5*y - 5. Suppose -633 + 508 = -5*b. Calculate the remainder when i is divided by b.
11
Let x = 49 + -8. Let i(w) = -975*w + 4896. Calculate the remainder when i(5) is divided by 2/(-10) + x/5.
5
Let g = 6329 - 5952. What is the remainder when g is divided by 39?
26
Suppose 3824*f - 3855*f + 66123 = 0. What is the remainder when f is divided by 152?
5
Let v = 18 + -297. Let q = v + 417. What is the remainder when q is divided by 74?
64
Suppose 3379 = 68*d + 455. Calculate the remainder when 93 is divided by d.
7
Let b = 283 + -283. Let m(d) = d**3 - d**2 - 3*d + 179. Calculate the remainder when m(b) is divided by 31.
24
Suppose -93*c - 37 = -95*c - 5*p, 2*p - 124 = -5*c. Let g = -203 - -44. Let b = -57 - g. What is the remainder when b is divided by c?
24
Suppose 361*v = 363*v - 82. Suppose 12 + v = d. Calculate the remainder when 369 is divided by d.
51
Suppose 0 = -30*i + 17*i + 3*i + 42150. Calculate the remainder when i is divided by 37.
34
Let o(s) be the third derivative of -5*s**4/12 - 21*s**3/2 - 10*s**2 + 3. What is the remainder when 48 is divided by o(-8)?
14
Suppose 11*m - 6*m = -150. Let y = m - -1. Let w = y - -32. What is the remainder when w is divided by 2?
1
Suppose -2321 = -35*q + 1074. Calculate the remainder when 185 is divided by q.
88
Let f(m) = -10*m + 638. Let i be f(0). Let r = i + -609. Calculate the remainder when r is divided by 15.
14
Suppose -c + 53 - 12 = -5*w, -11 = -c - w. Let o be (-1)/((-9)/(-6))*3. Calculate the remainder when ((-404)/c + o)*(-2 - 2) is divided by 28.
25
Suppose 0 = 22*p - 26*p + 160. Let j = -49 + p. Let z = 60 + j. Calculate the remainder when z is divided by 28.
23
Let a(y) = y**3 - 6*y**2 + 16*y - 6. Let s = -183 + 189. What is the remainder when a(s) is divided by 31?
28
Let k = 87 - 453. Calculate the remainder when k/(-13) + (18/13)/(-9) is divided by 16.
12
Suppose t + 64 = 9*t. Calculate the remainder when 138 is divided by t/16*66 - 5.
26
Let d = 14 - 15. Let l be -2*(-2 + d - -2). Suppose -114 = l*u - 5*u. Calculate the remainder when u is divided by 10.
8
Let g = 620 + -557. Let s(n) = 32*n - 52. What is the remainder when s(7) is divided by g?
46
Let r(p) = -2*p - 13. Let c be r(-7). Let y(b) = 3*b + 0*b + 0 - 2*b - c. What is the remainder when 6 is divided by y(4)?
0
What is the remainder when 273 is divided by -19 - 423*15/(-45)?
29
Suppose -5*u = -w + 126, -5*w + u + 740 = -2*u. Suppose -2*z + 41 = -w. Let b = z + 13. Calculate the remainder when b is divided by 37.
35
Let n = 541975 + -541947. Let y = -20 + 48. Calculate the remainder when y is divid