Verb (5-dan, る, transitive)
1.  to cut;  to cut through;  to perform (surgery)
2.  to sever (connections, ties)
3.  to turn off (e.g. the light)
4.  to terminate (e.g. a conversation);  to hang up (the phone);  to disconnect
5.  to punch (a ticket);  to tear off (a stub)
6.  to open (something sealed)
7.  to start
8.  to set (a limit);  to do (something) in less or within a certain time;  to issue (cheques, vouchers, etc.)
9.  to reduce;  to decrease;  to discount
10.  to shake off (water, etc.);  to let drip-dry;  to let drain
11.  to cross;  to traverse
12.  to criticize sharply
13.  to act decisively;  to do (something noticeable);  to go first;  to make (certain facial expressions, in kabuki)
14.  to turn (vehicle, steering wheel, etc.)
15.  to curl (a ball);  to bend;  to cut
16.  to shuffle (cards)
17.  to discard a tile
18.  to dismiss;  to sack;  to let go;  to expulse;  to excommunicate
19.  to dig (a groove);  to cut (a stencil, on a mimeograph)
20.  to trump
21.  to cut (the connection between two groups) (in go)
22.  to start a fire (with wood-wood friction or by striking a metal against stone)
also written as 鑽る
23.  to draw (a shape) in the air (with a sword, etc.)
Auxiliary verb (5-dan, る)
24.  to finish;  to complete
after the -masu stem of a verb