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to cook up
01
prepare or cook by mixing ingredients
02
to make up something that is not true, like a story or excuse
Example
She was cooking up a storm in the kitchen, preparing a feast for the family.
Children sometimes cook up elaborate tales to explain their actions when caught misbehaving.
During the interrogation, the suspect attempted to cook up a false alibi.
He tried to cook up an excuse for being late to the meeting.
While he may not be a master chef, he's a jack of all trades in the kitchen, cooking up a variety of dishes.