systemize

The story

1. Proto-Indo-European*ḱe?
2. Proto-Indo-European*ḱómder.?
3. Proto-Indo-European*sem-der.?
4. Proto-Hellenic*ksún
5. Ancient Greekσύν (sún)
6. Ancient Greekσυν- (sun-)
7. Proto-Indo-European*steh₂-
8. Proto-Indo-European*stísteh₂ti
9. Proto-Hellenic*hístāmi
10. Ancient Greekἵστημι (hístēmi)
11. Ancient Greekσῠνῐ́στημῐ (sŭnĭ́stēmĭ)
12. Ancient Greekσύστημα (sústēma)
13. Late Latinsystēma
14. Middle Frenchsysteme
15. Englishsystem
16. English todaysystemize

From system + -ize.