to attempt  - intentar, tratar de 

to try  - enjuiciar, juzgar, procesar, tratar, intentar, probar, tentar, poner a prueba, tratar (de) 

to claim  - reclamar, reivindicar, afirmar, sostener 

to seek  - buscar, solicitar, pedir 

to aspire to

to court  - cortejar, galantear