Here are some simple stateless tools which I find useful in my daily work.
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Select multiple PDF files. You can reorder them using the 'Up' and 'Down' buttons before merging.
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Select a single PDF file and enter the pages or page ranges you want to extract.
For example: 1, 3-5, 8 will extract pages 1, 3, 4, 5, and 8.
Type LaTeX math expressions on the left. The result renders instantly on the right.
Example: $$x = {-b \pm \sqrt{b^2-4ac} \over 2a}$$