As the title indicates, verification and computation requests are not limited to homework. What I think would be more useful and more widely applicable than focusing on how to police homework, is to add tags such as (and these are examples, not necessarily finalized proposals):
-- [numerical-request] or [programming-request] for questions that can only be fully answered in ways that involve numerical computation or computer programming
-- tag(s) to indicate [numerically-specific] questions (e.g., "find the perpendicular bisector of the segment with endpoints (1,2) and (5,4)", versus requests for general methods such as "how to find the perpendicular bisector of a line segment in coordinates"). This specificity is certainly a feature of many homework problems, but not all homework problems will be labelled as [homework], and many non-homework problems are of the same form. In extreme cases questions will be closed as "too localized" but this seems to happen rarely and until we have specificity as a rating dimension, a tag would carry a lot of relevant information.
Please note that the much linked "Death Of Meta-Tags" (non)answer from StackOverflow is very far from addressing the need for these and other tags that are not fields of mathematics. If anyone here wants to re-introduce that material, please start a separate thread rather than assuming that SO discussions decide how math.SE users should operate the math site.
Generally, although [homework] might be a useful tag when the information is provided, it is not a useful category for thinking about the development of the site. I see no reason to single out homework for special consideration -- typical suggestions are of policing methods, such as limitation of answers, pressure to reveal the fact of it being homework, censure or suspension of users who post a lot of presumed homework questions. There is no fundamental difference between homework, job-work, doctoral work ("how do I approach this problem that arose in my thesis"), or other kinds of [work] that can be posed to the math.SE oracle, and artificially singling out homework is not a principled solution. If homework postings have aspects that are considered undesirable, such as being numerically specific or involving tedious computation, those features can be labelled directly without ever considering the [*-work] status of the posting.