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% https://tex.stackexchange.com/q/369065/
\documentclass{article}
\usepackage{xsim,tcolorbox,needspace}
\xsimsetup{
exercise/within=section ,
exercise/the-counter = \thesection.\arabic{exercise} ,
exercise/template=cyan-box ,
exercise/name=Example ,
solution/template=red ,
solution/print=true
}
\DeclareExerciseEnvironmentTemplate{cyan-box}{%
\begin{tcolorbox}[arc=0mm,boxrule=1pt,colback=white,colframe=cyan,leftrule=3mm]
\textsf{%
\MakeUppercase{%
\XSIMmixedcase{\GetExerciseName}~\GetExerciseProperty{counter}%
}%
}%
\GetExercisePropertyT{subtitle}{ \textit{#1}}%
\quad
}{\end{tcolorbox}}
\DeclareExerciseEnvironmentTemplate{red}{%
\par
\Needspace*{2\baselineskip}
\noindent
\textsf{\textcolor{red}{\MakeUppercase{\XSIMmixedcase{\GetExerciseName}}}}%
\quad
}{\par\bigskip}
\begin{document}
\section{My first set of exercises}
\begin{exercise}
Prove that $\frac{1}{2}\Delta(f_{ij}f^{ij})
=\nabla^{k}f^{ij}+f^{ij}f^{k}[2\nabla_{i}R_{jk}-\nabla_{k}R_{ij}]$
\end{exercise}
\begin{solution}
From \dots
\end{solution}
\begin{exercise}
Prove that Paulinho is smart.
\end{exercise}
\begin{solution}
All ducks are smart. Paulinho is a duck. Therefore, Paulinho is smart.
\end{solution}
\begin{exercise}
Prove that Paulinho is smart.
\end{exercise}
\begin{solution}
All ducks are smart. Paulinho is a duck. Therefore, Paulinho is smart.
\end{solution}
\section{My second set of exercises}
\begin{exercise}
Prove that Paulinho is smart.
\end{exercise}
\begin{solution}
All ducks are smart. Paulinho is a duck. Therefore, Paulinho is smart.
\end{solution}
\begin{exercise}
Prove that Paulinho is smart.
\end{exercise}
\begin{solution}
All ducks are smart. Paulinho is a duck. Therefore, Paulinho is smart.
\end{solution}
\end{document}
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