The term 'cooked up' can be broken down into four separate crossword solutions: IDEATED (7 letters), BREWED (6 letters), DREAMT (6 letters), and MADE (4 letters). IDEATED means to form an idea or plan, while BREWED means to make a beverage by boiling and fermenting ingredients. DREAMT means to have a vision or experience in a dream, and MADE means to create or construct something. Together, these four words suggest that the term 'cooked up' implies the creation of something through the combination of ideas, beverages, dreams, and physical objects.