example.tex

\documentclass{article}
\usepackage{xcolor, ifthen, enumerate}

% The following are some standard optional packages
\usepackage{latexsym,amsfonts,amsthm,amssymb,amsmath}

\input{moodle.sty}

\newcommand{\QQ}{\mathbb Q}
\newcommand{\ZZ}{\mathbb Z}
\newcommand{\RR}{\mathbb R}
\newcommand{\CC}{\mathbb C}
\newcommand{\al}{\alpha}
\showinfo

\begin{document}

\moodlecat{week1} %all the following questions will be in moodle category "week1" after importing to moodle.

\begin{problem}

Which of the following is not a field:

\bad The set of all rational functions with rational coefficients (i.e.~all expressions of the form $\frac{a}{b}$ where $a,b\in \QQ[X]$)

\bad The set of all rational functions with integer coefficients (i.e.~all expressions of the form $\frac{a}{b}$ where $a,b\in \ZZ[X]$)

\good The set of all functions $\al\colon\{0,1\} \to \QQ$.

\bad The set of all complex numbers of the form $a +bi$ where $a,b\in \QQ$. 

\bad The ring $k[X,Y]/I$, where $I$ is the ideal generated by $X$ and $Y$.

\end{problem}


\begin{problem}

Which of the following ideals is not principal? 

\bad The ideal generated by $2$ and $4$ in $\ZZ$

\bad The ideal generated by $X+XY$ and $X$ in $\CC[X,Y]$

\bad The ideal generated by $X+XY$, $X$ and $ZYX$ in $\RR[X,Y,Z]$

\good The ideal generated by $X$ and $YZ$ in $\QQ[X,Y,Z]$

\bad The ideal generated by $2$ and $4$ in $\ZZ/6\ZZ$
\end{problem}



\end{document}