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The problem is that TeXWriter is based on a very minimal TeX distribution that only uses Knuth TeX, which doesn't have the e-TeX extensions necessary to run a bunch of modern packages (notably biblatex and its toolkit etoolbox). Unless the developers of that TeX distribution get convinced to add e-TeX, you're out of luck.

9

This is the relevant part from etex.ch: 5247 @ The function |quotient(n,d)| computes the rounded quotient 5248 $q=\lfloor n/d+{1\over2}\rfloor$, when $n$ and $d$ are positive. 5249 5250 @<Declare subprocedures for |scan_expr|@>= 5251 function quotient(@!n,@!d:integer):integer; 5252 var negative:boolean; {should the answer be ...

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No, it is not possible to define it yourself but probably you do not need to anyway. Th \dimexpr primitive is provided by e-TeX, and since it is a primitive ('build in') it cannot be properly simulated by a macro. However, e-TeX has been around for many years. Older TeX systems used to require you to explicitly ask for e-TeX, so using etex, elatex, ...

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