To formulate means to create or develop something carefully and systematically, especially a plan, idea, or mixture. When scientists formulate a hypothesis, they're crafting a clear, testable explanation for something they've observed. When a coach formulates a game strategy, she's putting together a detailed plan based on the team's strengths and the opponent's weaknesses.

The word suggests thoughtful preparation rather than random guessing. You don't just formulate on a whim: you think through the details, consider different factors, and organize your ideas into something coherent. A chef might formulate a new recipe by carefully adjusting ingredients and cooking times. A student council might formulate a proposal for longer lunch periods by gathering data, considering logistics, and presenting clear reasons.

Formulate also has a specific meaning in chemistry and manufacturing: to create a mixture or compound by combining specific ingredients in precise amounts. Pharmacists formulate medicines, and cosmetic companies formulate shampoos and lotions. The noun form, formulation, can refer either to the process of creating something (“the formulation of a plan”) or to the mixture itself (“a new formulation of toothpaste”).