to be understood  - comprender, entender, tener entendido 

to get along well

to understand each other

to figure out  - entender, resolver (un problema, etc.) 

to understand  - comprender, entender, tener entendido 

to think  - pensar, razonar, considerar, creer, opinar, reflexionar, ocurrirse, concebir 

to believe  - creer 

to mean  - querer, pensar, tener la intención de, querer decir, significar, importar 

to intend  - querer decir, tener planeado, proyectar, proponerse 

to infer  - deducir, inferir, concluir, suponer, tener entendido, sugerir, insinuar 

to deduce  - deducir, inferir