  An oriented closed connected N-manifold M is inflexible if it does not admit
self-maps of unbounded degree. In addition, if all the maps from any other
oriented closed connected N-manifold have bounded degree, then M is said to be
strongly inflexible. The existence of simply-connected inflexible manifolds was
established by Arkowitz and Lupton. However, the existence of simply-connected
strongly inflexible manifolds is still an open question. We provide an
algorithm relying on Sullivan models that allow us to prove that all, but one,
of the known examples of simply-connected inflexible manifolds are not strongly
inflexible.
