Singular

Hello Everyone,

is it possible to use Singular to solve inhomogeneous Syzygy equations?
Like
A v = b,
where A is a known matrix and b is a known vector, both polynomial in variables (x1,...,xn).
Of course I could use the syz command on the matrix
A' =(A|b) and intersect the result of A' v' with the hyperplane v'.(0,...,0,1)=1, however, in the particular problem I am currently studying this is highly inefficient as the kernel of the intersection is huge.
So, is there a way to go directly for the inhomogeneous equation?