Some golfing nitpicks:
- Instead of int(rand 2)?'':'-', you can write '-'x rand 2, saving seven characters.
- No need to quote 987654321, Perl will happely turn this integer into a string for you. This saves two characters.
- Use $` instead of pos(). Three characters.
- If you use an empty pattern in the substitution, Perl will do the right thing. Another five characters.
- Use s### instead of s[][] for one character savings.
Result:
$ perl -e'($_=987654321)=~s##$`?(qw[+ - * /],("")x4)[rand 8]:"-"x rand
+ 2#ge while 2006!=eval;print'
9+8*7+654*3-21
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