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rack (one's) brain(s)
To struggle to recall or think of something. I've been racking my brain, but I still can't remember what Lydia's husband's name is. He racked his brains all weekend trying to think of a solution to the problem.
See also: rack
Farlex Dictionary of Idioms. © 2015 Farlex, Inc, all rights reserved.
rack (one's) brains/brain
To try hard to remember or think of something.
American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.