Verb cook up has 2 senses
  1. concoct, cook up - prepare or cook by mixing ingredients; "concoct a strange mixture"
    --1 is one way to cook, fix, ready, make, prepare
    Sample sentence:
    Somebody ----s something
  2. fabricate, manufacture, cook up, make up, invent - make up something artificial or untrue
    --2 is one way to think up, think of, dream up, hatch, concoct
    Sample sentence:
    Somebody ----s something
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