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\documentclass{article}
\usepackage{amsmath}
\usepackage[myconfig,forpaper,pointsonleft,nosolutions]{eqexam}

\examNum{2}
\forVersion a
\VersionAtext{Quiz~\nExam--003}
\VersionBtext{Quiz~\nExam--007}
\shortVersionAtext{Q{\nExam}s3}
\shortVersionBtext{Q{\nExam}s7}

\title[\sExam]{\bfseries\Exam}
\author{D. P. Story}
\subject[C1]{Calculus I}
\date{Spring \the\year}
\keywords{Test~\nExam, Section \ifAB{003}{007}}
\email{dpstory@uakron.edu}

\everymath{\displaystyle}

\begin{document}

\maketitle

\begin{exam}{Part1}

\begin{instructions}[Instructions:]
Do as well as you can under the circumstances.
\end{instructions}

\begin{problem*}[3ea]
Do each of the following without error.
\begin{multicols}{2}
    \begin{parts}
        \item This this problem.
        \begin{solution}[2in]\end{solution}

        \item This this problem.
        \begin{solution}[2in]\end{solution}
\pushProblem
\end{multicols}
\par\noindent
\makebox[\linewidth][c]{\rule{.67\linewidth}{.4pt}}
\popProblem
        \item Do this harder problem.
        \begin{solution}[1in]\end{solution}
    \end{parts}
\end{problem*}

\begin{problem*}[\auto]
Do each of the following without error.
    \begin{parts}
        \item\PTs{3} This this problem.
        \begin{solution}[1in]\end{solution}
\pushProblem
\begin{multicols}{2}
\popProblem
        \item\PTs{4} This is a hard problem.
        \begin{solution}[2in]\end{solution}
        \item\PTs{4} Do this harder problem.
        \begin{solution}[2in]\end{solution}
    \end{parts}
\end{multicols}
\end{problem*}

\end{exam}
\end{document}