1a matter or situation regarded as unwelcome or harmful and needing to be dealt with and overcome:they have financial problemsthe problem of ageism in Hollywood
a thing that is difficult to achieve:motivation of staff can also be a problem
2 Physics & Mathematics an inquiry starting from given conditions to investigate or demonstrate a fact, result, or law.
Geometry a proposition in which something has to be constructed.Compare with theorem.
(in chess) an arrangement of pieces in which the solver has to achieve a specified result.
have a problem with
disagree with or have an objection to:I have no problem with shopping on Sundays
no problem
used to express one’s agreement or acquiescence:‘Can you come over here right away?’ ‘No problem.’
that's your (or his, her, etc.) problem
used to express one’s lack of interest in or sympathy with another person’s problems:he’d made a mistake but that was his problem