We study dynamical flavor symmetry breaking in the context of a class of N
= 1 supersymmetric SU(n(c)) and USp(2n(c)) gauge theories, constructed from
the exactly solvable N = 2 theories by perturbing them with small adjoint
and generic bare hypermultiplet (quark) masses. We find that the flavor U(n
(f)) symmetry in SU(n(c)) theories is dynamically broken to U(r) x U(n(f) -
r) groups for n(f) less than or equal to n(c). In the r = 1 case the dynam
ical symmetry breaking is caused by the condensation of monopoles in the n(
f) representation. For general r, however, the monopoles in the <(n(f)C(r))
under bar> representation, whose condensation could explain the flavor symm
etry breaking but would produce too-many Nambu-Goldstone multiplets, actual
ly "break up" into "magnetic quarks" which condense and induce confinement
and the symmetry breaking. In USp(2n(c)) theories with n(f) less than or eq
ual to n(c) + 1, the flavor SO(2n(f)) symmetry is dynamically broken to U(n
(f)), but with no description in terms of a weakly coupled local field theo
ry. In both SU(n(c)) and USp(2n(c)) theories, with larger numbers of quark
flavors, besides the vacua with these properties, there exist also vacua wi
th no flavor symmetry breaking.