Question: Solving coefficients of a polynomial

Hi guys. This is kinda tricky to explain, but this is what I've tried that doesn't work: U := add(lambda^n, n=1..8)-lambda^2; f[0,1]:=1: Q := collect(f[1,0]*lambda+add(add(f[m-k,k]*(lambda^(m-k))*U^k, k=0..m), m=2..3)+U, lambda); R := {coeffs(Q, lambda)}; solve(R); So I'm trying to compute the coefficients of lambda. Q gives terms from lambda^1, lambda^2,...,lambda^24. But there are only 8 unknowns, and the coefficients of lambda^9,...,lambda^24 are not required to solve for the unknowns. So my question is how do I remove the last 16 terms of Q, so I have 8 equations that I can solve for 8 unknowns? Not sure that makes sense, but any help is much appreciated. Tom
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