You should take a sample in to get it analized, alot of old black cutback prior to the mid 70's contained asbestos and if left undesturbed causes no problems. But if you try scraping, sanding, etc, the fibers will become airborn and dangerous.
There are two Companies that make a Black mastic remover for your project. One is the Sentinel Company in Minneapolis and the other Dumond chemicals in New york (
www.dumondchemicals.com. It will make your job easier and safer.
Otherwise, there are thinsets that are rated for applying overtop of cutback.