"Smart as a tack" is a colloquial expression used to describe someone who is very intelligent, quick-witted, and alert. Antonyms for this phrase would include words that describe someone dull, slow, or lacking in mental agility. Some possible antonyms for "smart as a tack" might include words like dullard, dimwitted, foolish, unthinking, or obtuse. Alternatively, you could use words that describe a lack of awareness or attentiveness, such as absent-minded, forgetful, unfocused, or scattered. Whatever antonym you choose, it should convey the idea of someone who is not quick-witted or astute, but rather sluggish or mentally inflexible.