Verb (5-dan, む, transitive)
1.  to challenge to (a fight, game, etc.);  to throw down the gauntlet;  to contend for
Verb (5-dan, む, intransitive)
2.  to tackle (e.g. a problem);  to attempt;  to go after (a prize, record, etc.)
3.  to pressure (someone) for sex;  to make advances to