Wands, wands and more wands

[cynthiaanncoe at home.com]

No: HPFGUIDX 24634

A couple of wand questions:

First, where is Pettigrew's wand?  I personally think it got blown up 
(or lost) when he blew up the street.  That explains why Pettigrew is 
using Voldemort's wand all the time (except for the time he used 
Lupin's wand to stun Ron and Crookshanks).

Second, wizards can do simple spells without wands.  So, then, what 
is the single most complex spell any wizard or witch performs in the 
books without a wand?  Any ideas?