You can look in includes/config.php to see what your TABLE_PREFIX is. It's possible that you don't have any prefix, in which case the table name would just be "post".
While it's possible to delete a forum using SQL, I wouldn't recommend it because there's lots of things that need to be done to keep the database "clean". If it times out when trying to delete the category from the forum manager, maybe you should try going to the forum and using the "Delete threads" feature. Use "Select All" under the "Inline Mod" menu, then "Delete Threads" under the moderation tools menu at the bottom (and select "physically remove"). Then repeat that for each page of threads.
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