Obviously you burn it to the ground...EQUITY and all. Or rent it out, or invest a minimal amount into it over four years, spruce it up, sell it for more than what you bought it for.
They have a term for it. It is called 'flipping' a house. Although I think a 'flip' happens in a matter of 3-6 months, you could essentially 'flip' it in four years.
I am sure google has 1000's of articles on flipping a house. Search for it. i also know at Barnes and Noble (and borders) there are several books on simple renovations that cost 100's of dollars, that increase the value of the house by 1000's of dollars.
Time in dental school is minimal if you want to specialize, but for the GP, time is available, and there are summers, holidays, etc. to do things to the house to make it livable.
A five bedroom in Lincoln with three bathrooms a block away from the school will cost 80K to 130K. Easily financed over a 5 year arm and may even be cheaper than renting if you get a good mortgage and roomates to pay you.
Hope that helps. It is all about economics. 🙂