Random coefficients in the polynom package?

Question

I am using the probsoln package to generate random math quizzes. For polynomial division, I can generate random integer coefficients, but I had planned on using the polynom package to auto-generate the solution, but I keep getting one of those "I was expecting a number" errors.

Here is an MWE

\documentclass{article}
\usepackage{probsoln}
\usepackage{polynom}

\newcounter{myCounter}

\begin{document}
  \random{myCounter}{1}{10}
  \[ \polylongdiv{ \value{myCounter}x^2 + 1 }{ x + 1 } \]
\end{document}

I have also tried this using \arabic{myCounter} instead of \value, and I have tried using \pgfmathsetmacro{\newMacro}{\value{myCounter} followed by \pgfmathtruncatemacro{\truncatedMacro}{\newMacro}. Each time, `\polylongdiv' issues the same error.

The .sty file: I have even opened up the .sty file to try and understand how \polylongdiv works, but it just looked like my cats and my kids had randomly played with my keyboard. I couldn't even begin to parse it.

Does anyone have a quick insight/adjustment I can use to accomplish this?

Answer 1

You should expand the number before \polylongdiv starts its work:

\documentclass{article}
\usepackage{probsoln}
\usepackage{polynom}

\newcounter{myCounter}

\newcommand\epolylongdiv[2]{%
  \begingroup\edef\x{\endgroup
  \noexpand\polylongdiv{#1}{#2}}\x}

\begin{document}
  \random{myCounter}{1}{10}
  \[ \epolylongdiv{ \themyCounter x^2 + 1 }{ x + 1 } \]
  \random{myCounter}{1}{10}
  \[ \epolylongdiv{ \themyCounter x^2 + 1 }{ x + 1 } \]
\end{document}