I am trying to solve the equations below. But Mathematica doesn't give any solutions. Anyone can help about. Thank you.
eqs= {(b[0] + b[2]) (b[3] + b[5]) + d[0] ==
1, (b[3] + b[5]) (b[1] + b[2] c[1]) + (b[0] + b[2]) (b[4] +
b[5] c[1]) + d[1] == 1,
b[1] (b[4] + b[5] c[1]) +
c[1] (b[0] b[5] c[1] + b[2] (b[4] + (b[3] + 3 b[5]) c[1])) == 1/2,
c[1]^2 (b[5] (b[1] + b[0] c[1]) +
b[2] (b[4] + (b[3] + 4 b[5]) c[1])) == 1/6,
c[1]^3 (b[5] (b[1] + b[0] c[1]) +
b[2] (b[4] + (b[3] + 5 b[5]) c[1])) == 1/24,
c[1]^4 (b[5] (b[1] + b[0] c[1]) +
b[2] (b[4] + (b[3] + 6 b[5]) c[1])) == 1/120,
c[1]^5 (b[5] (b[1] + b[0] c[1]) +
b[2] (b[4] + (b[3] + 7 b[5]) c[1])) == 1/720,
c[1]^6 (b[5] (b[1] + b[0] c[1]) +
b[2] (b[4] + (b[3] + 8 b[5]) c[1])) == 1/5040,
c[1]^7 (b[5] (b[1] + b[0] c[1]) +
b[2] (b[4] + (b[3] + 9 b[5]) c[1])) == 1/40320}
sol = Solve[
eq1, {b[5], b[4], b[3], b[2], b[1], b[0], d[0], d[1], c[1]}]