PROBLEM
\pɹˈɒbləm], \pɹˈɒbləm], \p_ɹ_ˈɒ_b_l_ə_m]\
Definitions of PROBLEM
 2006  WordNet 3.0
 2011  English Dictionary Database
 2010  New Age Dictionary Database
 1919  The Winston Simplified Dictionary
 1899  The american dictionary of the english language.
 1919  The Concise Standard Dictionary of the English Language
 1894  The Clarendon dictionary
 1914  Nuttall's Standard dictionary of the English language
 1874  Etymological and pronouncing dictionary of the English language
 1871  The Cabinet Dictionary of the English Language
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a source of difficulty; "one trouble after another delayed the job"; "what's the problem?"

a question raised for consideration or solution; "our homework consisted of ten problems to solve"
By Princeton University

a source of difficulty; "one trouble after another delayed the job"; "what's the problem?"

a question raised for consideration or solution; "our homework consisted of ten problems to solve"
By DataStellar Co., Ltd

A question proposed for solution; a matter stated for examination or proof; hence, a matter difficult of solution or settlement; a doubtful case; a question involving doubt.

Anything which is required to be done; as, in geometry, to bisect a line, to draw a perpendicular; or, in algebra, to find an unknown quantity.
By Oddity Software
By William Dodge Lewis, Edgar Arthur Singer

Problematically.

A matter difficult of settlement or solution: (geom.) a proposition in which something is required to be done.
By Daniel Lyons
By James Champlin Fernald
By William Hand Browne, Samuel Stehman Haldeman

A question proposed for solution; any question involving doubt or uncertainty; a proposition requiring something to be done.
By Nuttall, P.Austin.

A question involving doubt or uncertainty proposed for solution; in geom., a proposition in which some operation or construction is required; in alg., a proposition which requires some unknown truth to be discovered or demonstrated; in logic, a proposition which, appearing neither absolutely true nor false, may consequently be asserted either in the affirmative or negative.
By Stormonth, James, Phelp, P. H.

n. [Greek] A question proposed for solution ; hence, a matter difficult of solution or settlement ;in logic, a proposition which seems absolutely neither true nor false, and which may be stated as affirmative or negative;in mathematics, a proposition or theorem to be wrought out and demonstrated either by the actual construction of the lines, angles, planes, figures, &c., or by calculation of their relative positions and magnitudes ;any mechanical or practical difficulty to be overcome.