I am coming to the point in my career where I will be expected to take graduate students, and I’d like some advice about finding problems for them. How responsible am I for making sure that a problem is solvable and not already under attack elsewhere? I have a (private) list of problems that might be suitable for attack with tropical methods, or using cluster algebras. In most cases, the reason that I have not worked on these problems myself is that I would have to do a fair bit of research to find out the current state of the field and make sure that I wasn’t missing something stupid. Is it fair to pass this sort of thing off to a graduate student?