Green’s Dictionary of Slang

puzzle n.2

SE in slang uses

In compounds

puzzle factory (n.)

(US) a psychiatric institution.

[US]N. Green Angel of Montague Street (2004) 5: Someone decided that there were too many people in the puzzle factory who weren’t crazy enough.
puzzle palace (n.) [ carnival j. puzzle palace, the ‘hall of mirrors’]

(US) any upper-echelon office viewed as a locus of pointless red tape.

(con. 1965-66) P. Caputo Rumor of War 283: [of the Pentagon] ‘The birds’ll be here, but the assholes in the puzzle-palace have to do their paperwork first.
[US]B. McCarthy Vice Cop 100: He’d been transferred to work out of the first deputy commissioner’s office in the Puzzle Palace.
[US](con. 1972) Jurgenson & Cea Circle of Six 92: [of NYPD HQ] I tell the truth and those guys in the puzzle palace won’t fire me.
[US]D. Winslow The Force [ebook] He has rabbis at the Puzzle Palace [i.e. NYPD HQ], brass looking out for his interests.

In phrases

fifteen puzzle (n.) [SE fifteen puzzle, a popular puzzle, c.1879; like a prototype Rubik’s cube, it required players to arrange a set of numbered, moveable squares in rows, each of which had to add up to 15]

absolute chaos, utter confusion.

[Aus]Bulletin (Sydney) 18 Apr. 11/3: He can then get so drunk that he will be a fifteen-puzzle to his wife when he comes home, and openly jeer at the lock-up, and still have the law on his side.
[UK] ‘Amer. Bear Story’ in J. Ware Passing Eng. of the Victorian Era (1909) 130/1: The syrup cup was, for a while, a fifteen-puzzle for the bear.
[UK]J. Ware Passing Eng. of the Victorian Era.