[qayxc]

Nuclear waste is primarily a political problem (which actually makes it damn near impossible to solve in the near term).

There's no fundamental problem with it, since it's produced naturally as well [1] and sites exist that would allow for very safe long term storage if need be.

It's also possible to get rid of long lived decay products entirely using certain types of reactors that can "burn" nuclear waste.

Again, political will and major investments would be required to make that happen, though some companies are already working on it.

[1] https://en.wikipedia.org/wiki/Oklo_Mine