Possible way for nuclear waste solution problem:
1. Load it into Space Elevator
2. Punch it to space station which further sends it into the Sun.
3. Profit!
This would be used IRL, if not for the fear of launch failure and waste falling back to the ground and spreading around...
Also, some techniques which are used IRL for handling nuclear waste and may be applied here:
Concentration: It greatly increases amount of radiation per unit of mass, but makes it MUCH easier to store, by the factor of 10...
Reprocessing: Some useful nuclear fuel may be extracted from waste.
Cementing: Really, it's a pretty lame cliche already, that nuclear waste is glowing green liquid. IRL any long-term storage of nuclear waste in LIQUID form is STRICTLY FORBIDDEN. One method of handling is mixing it into cement and making into concrete. Solid contaminates MUCH less than liquid. Variant also include vitrification, etc.
Any other ways which can be used in-game?