The phrase "puts mind to" typically implies a sense of focus and determination. As such, antonyms for this phrase would include words or phrases that convey a lack of focus or lack of motivation. These might include phrases like "half-hearted," "indifferent," or "lackadaisical." Other possible antonyms might include terms like "distracted," "uninterested," or "apathetic." Essentially, any term that implies a lack of dedication, focus, or purpose could be considered an antonym for the phrase "puts mind to." By contrast, words like "focused," "committed," and "driven" would be considered synonyms for this phrase.