We found one dictionary that defines the word wrack one's brain:

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1. wrack one's brain: Wiktionary

Definitions from Wiktionary (wrack one's brain) ▸ verb:  Eggcorn of rack one's brain. ▸ Words similar to wrack one's brain ▸ Usage examples for wrack one's brain ▸ Idioms related to wrack one's brain ▸ Wikipedia articles (New!) ▸ Words that often appear near wrack one's brain ▸ Rhymes of wrack one's brain ▸ Invented words related to wrack one's brain