\documentclass[12pt]{article}

\usepackage{precalc}

\begin{document}

\solutions{$\pi$} 
          {P. S. Cal and R. Kim Eadies} 

\section{Solutions}

\begin{solution}
  No, $6$ is not a prime number, since, for example, it is divisible
  by $2$.
\end{solution}

\begin{solution}
  Just one.  He holds the lightbulb up and the world revolves around
  him.
\end{solution}

\begin{solution}
  Since Lemma 37 guarantees that tensor products over the Gaussian
  integers form a continuous semilattice, by Theorem 2.4.9.6.ix.22 we
  may conclude that $\int_\lambda^{x^2} \mathcal{P}(x_\xi) \geq
  \|\vec{v}^\perp\|$. From this, it is plain to see that $1 + 1 = 2$.
\end{solution}

\section{Comments}

Overall, we enjoyed this assignment, especially the part with the
lightbulb jokes.  However, we found the material on continuous
semilattices confusing, and Problem 3 was much too difficult.  It
seemed almost like you just made it up.  Three questions also seemed
like a bit much---this assignment took us a whole fifteen minutes to
complete! It would be nice if future assignments were a bit shorter,
like, say, zero or maybe negative one problems.

We would be interested to learn more about the number $6$.  What more
can you teach us about this fascinating number?

\end{document}
