guess at (something)
To give a possibility of what something might be; to make a guess about something. We don't have to be exact here, so just guess at the measurements. Oh wow, I was only guessing at Cynthia's phone number, but I'm glad I got it right! A: "I don't want to guess at that woman's name, so I hope you know what it is." B: "No, I've never seen her before."
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