I've gave the first one a go:

P =. (1&!@:[)*!

and then I realized you said a single application of a single verb, and I use ! 
twice. (Also probably should do P~ because your arguments are the different way 
around to !.





> Date: Wed, 25 Jun 2014 09:33:44 -0400
> From: [email protected]
> To: [email protected]
> Subject: [Jprogramming] Test Your J
> 
> The new NuVoc contains much detail not collected anywhere else in the J 
> documentation.  Even experienced J programmers would benefit from a look.
> 
> To convince you, we offer a J quiz:
> 
> http://www.jsoftware.com/jwiki/Vocabulary/TestYourJ
> 
> Use whatever references you like!
> 
> Henry Rich
> ----------------------------------------------------------------------
> For information about J forums see http://www.jsoftware.com/forums.htm
                                          
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