well, Id only buy a used car if it had all of the reciepts and records, and was preferably entirely dealer serviced... such cars exist, and sometimes you pay a premium, but IMO its worth it...
Maybe Im just talking from my butt, as the only used cars Id ever buy are over 10 years old... any daily driver type of commodity car id only buy new... but thats just me.
But Auto-RX in the engine and in the trans if it is an auto would be a good first move... Id then make sure that all other fluids are replaced with OE fluids... Id use OE coolant and OE ATF, and then amsoil diff oil if necessary.
If slick 50 was put in, and didnt yet destroy the engine, Id cease use, and run a bunch of oil changes (which would be done with ARX anyway) to clean it all out.
Of course d also check thuroughly the tires (people cn really scrimp sometimes), brakes and suspension... If all is well, then Id go on my way.
JMH