I. ˈprä-bləm, -b ə m, -ˌblem noun
Etymology: Middle English probleme, from Latin problema, from Greek problēma, literally, obstacle, from proballein to throw forward, from pro- forward + ballein to throw — more at pro- , devil
Date: 14th century
1.
a. : a question raised for inquiry, consideration, or solution
b. : a proposition in mathematics or physics stating something to be done
2.
a. : an intricate unsettled question
b. : a source of perplexity, distress, or vexation
c. : difficulty in understanding or accepting
I have a problem with your saying that
Synonyms: see mystery
II. adjective
Date: 1894
1. : dealing with a problem of conduct or social relationship
a problem play
2. : difficult to deal with
a problem child