Thanks for the suggestions. I talked to my dad again today, and he had already verified that the solenoid on the carb was working properly, and just to make sure he had cut the plunger off so that it couldn't close (since he has another carb, he wasn't worried about it). He finally ended up taking the carb in to a shop and they were able to get a get clean that dad thought he had gotten, but apparently the bit of gunk was more stubborn than him. Has the tractor running great! Thanks again for the suggestions, and I just figured I'd close the loop on this thread in case someone else stumbles upon it through a search later on with a similar problem.