  Gravity coupled to an arbitrary number of antisymmetric tensors and scalar
fields in arbitrary space-time dimensions is studied in a context of general,
static, spherically symmetric solutions with many orthogonally intersecting
branes. Neither supersymmetry nor harmonic gauge is assumed. It is shown that
the system reduces to a Toda-like system after an adequate redefinition of
transverse radial coordinate $r$. Duality $r \to 1/r$ in the set of solutions
is observed.
