We discuss dimension-5 operators in supersymmetric models containing extra
hypercharge-1/3 color triplets. We derive a general formula relating the di
mension-5 operator to the color-triplet mass matrix. We show that certain z
eros in the triplet mass matrix together with some triplet coupling selecti
on rules can lead to the elimination of dimension-5 operators. In particula
r we focus on SU(5) models and show that (a) dimension-5 operators can be e
liminated in the standard SU(5) model by the introduction of an extra pair
of 5 + (5) over bar Higgs representations with specific couplings, (b) flip
ped SU(5) models with extra 10 + <(10)over bar> Higgs representations are f
ree of dimension-5 operators, and (c) flipped SU(5) models with extra 5 + (
5) over bar and/or extra 10 + <(10)over bar> Higgs representations can be m
ade free of dimension-5 operators for a textured form of the triplet mass m
atrix accompanied by constraints on the 5-plet couplings to matter. Our ana
lysis is motivated by the recently put forward M-theory phenomenological fr
amework that requires a strong string coupling and reintroduces the problem
of eliminating dimension-5 operators.