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Get image of equation

I would like to make .png images of equations. To achive that I usepdflatex+pdfcrop+convert. But it takes more than 3 seconds on my computer to process simple $$E=mc^2$$. But I will generate dozens of images and I would like to do it as fast as possible.

pdfcrop is really slow and now I am trying to fit equation into page to except crop from my cycle.I use this:

\documentclass[landscape]{report}\usepackage{amsmath} \usepackage{graphicx}\begin{document}\thispagestyle{empty}\begin{equation*}\resizebox{1.0\linewidth}{!} {    $ E = mc^2 $}\end{equation*}\end{document}

pdflatex produces this:Image may be NSFW.
Clik here to view.
1

So, it's a lot of blank space around the equation. Moreover, I would like to use latex instead of pdflatex because it's faster. But latex ignores resizebox environment. So, my questions are: Is it possible to

1) Make pdflatex scale equation to entire page?

2) Similar but using latex?

3) Or maybe there is another way to produce images of equations?


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