be, pose, present (sb with)
Finding a reliable babysitter presented us with quite a serious problem last summer.
bring, cause, create
The new software created problems for our team during the first week.
be beset with, be confronted by/with, be dogged by, be faced with, be fraught with, confront, encounter, face, run into
The new software project ran into serious problems during the testing phase.
raise
During the discussion, my colleague raised an important problem about the new software system.
consider, debate, discuss, look at/into
address, approach, attack, combat, come/get to grips with, grapple with, handle, tackle
The government is tackling the problem of rising homelessness in the city.
avoid, circumvent, find a way around/round, get around/round
clear up, cure, deal with, overcome, resolve, solve
She worked with a therapist to overcome the anxiety problem that had affected her for years.