\documentclass{amsart}
\usepackage{amsmath, amssymb, amsthm}

\theoremstyle{definition}
\newtheorem{problem}{Problem}
\theoremstyle{remark}
\newtheorem*{solution}{Solution}

\setcounter{problem}{9}
% Change 9 to n-1 where n is the first exercise of your p-set.

\title{Problem Set \#$\aleph_0$, 18.100C}
\author{G.~Cantor}
\date{February 4, 2011}

\begin{document}
\maketitle

\begin{problem}

\end{problem}

\begin{solution}

\end{solution}

\begin{thebibliography}{9}

\bibitem{Rudin}
  Walter Rudin,
  \emph{Principles of mathematical analysis}.
  McGraw-Hill Book Co.,
  3rd Edition,
  1976.

\end{thebibliography}

\end{document}
