"riddle out" is a correct and usable phrase in written English.
It means to solve or figure out something that is difficult or confusing. Example: After several hours of studying, she was finally able to riddle out the answer to the complicated math problem.
With none of the musicians in the hall (including Bill Conti, the longtime conductor of Oscars ceremony) able to riddle out a solution, Houston identified the offending chords for the orchestra and created a new arrangement on the spot.
I learned to riddle out problems, to dig through old books for good answers, to accept nothing at face value.
In the story Tom himself tinkers with the power of naming by making a riddle out of it (see what I did there?).
Test the riddle out on somebody!
Ms. Riddle camped out in the Capitol for 36 hours to be the first to file a bill that would stop the flow of state money to any local government that provided "sanctuary" — i.e., a city that does not allow its police officers to enforce federal immigration laws — to illegal immigrants.
'"I accept it is clear to me that these proceedings have been a considerable shock to you". Davis, who had his hands in his pockets, nodded as Justice Riddle laid out his bail condition which, along with the Internet ban, included wearing an electronic tag.
("Mistress" writer) Joyce Eliason ("Tell Me a Riddle") went out and met some mistresses.
I've struggled for a while, trying to riddle it out -- how to adequately describe it.
Riddle pointed out that all approaches using prandial insulin are limited by the need for frequent glucose testing and dose adjustment to address the complications of weight gain and hypoglycemia, which were least with an initial basal insulin approach.
All of these riddles send out tendrils of implication that end up strangling the movie, the plot of which does not so much thicken as clog and coagulate.
However they can be the "butler" and say the riddles, give out the cards, and reveal how the murder really happened.
