The term 'PREFIX WITH CHEMICAL' can be broken down into five different prefixes and their corresponding solutions: NEURO (5 letters), GEO (3 letters), PETRO (5 letters), AGRI (4 letters), and AGRO (4 letters), BIO (3 letters). Neuro refers to the nervous system, geo refers to the Earth, petro refers to petroleum, agri refers to agriculture, agro refers to agronomy, and BIO refers to biology. All of these terms are related to chemistry in some way, as they all involve the study of matter and its properties.