Learning system presented in Lipson, one stem generates all forms. Need to know the generative patterns/rules.
вёд'+ => вести веду' ведёшь и т. д. вёл вела' и т. д. веди' ... веду'щий и т. д. ве'дший и т. д. ведённый и т. д. (reflexive also)
Working backwards to deduce stem is often easy, but for some verbs need to know some of conjugations to deduce stem.