  We introduce notation Q(1) * ... * Q(n) * L(F_r)$ for von Neumann algebra
II_1 factors where $r$ is allowed to be negative. This notation is defined by
rescalings of free products of II_1 factors, and is proved to be consistent
with known results and natural operations. We also give two statements which we
prove are equivalent to isomorphism of free group factors.
