gray matter

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grey matter [noun]

A person's intelligence

US /ˈɡreɪ ˌmæt̬.ɚ/ 
UK /ˈɡreɪ ˌmæt.ər/ 
Example: 

It's not the sort of movie that stimulates the old grey matter much

Longman Dictionary of Contemporary English

gray matter

ˈgrey ˌmatter BrE AmE British English, gray matter American English noun [uncountable]
informal your intelligence, or your brain

Oxford Advanced Learner's Dictionary

grey matter

ˈgrey matter [grey matter]       (especially BrE) (NAmE usually ˈgray matter) noun uncountable (informal)
a person's intelligence

This should exercise the old grey matter.

Cambridge Advanced Learner's Dictionary

Cambridge Advanced Learner's Dictionary - 4th Edition
 

ˈ grey ˌ matter informal ( US usually ˈ gray ˌ matter ) noun [ U ]

a person's intelligence:

It's not the sort of movie that stimulates the old grey matter much.

© Cambridge University Press 2013

Merriam-Webster's Advanced Learner's Dictionary

gray matter

gray matter noun [noncount] : the tissue that makes up the brain - often used figuratively to refer to a person's intelligence
• His books are enjoyable, but they don't do much to challenge the reader's gray matter. [=intelligence]