What is the meaning of 싶다?
to be desirous of, to want
Used after a clause with a sentence ending that expresses a sentiment or subjective speculation, commonly -ㄴ가 (-n'ga), -나 (-na), -ㄹ까 (-lkka), -으면 (-eumyeon), and -다 (-da), to state that the subject feels that certain way.
Source: wiktionary.org