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    "url": "https://numbas.mathcentre.ac.uk/api/questions/11920/?format=api",
    "name": "Use Bézout's algorithm to solve $as + bt = \\gcd(a,b)$, ",
    "published": true,
    "project": "https://numbas.mathcentre.ac.uk/api/projects/601/?format=api",
    "author": {
        "url": "https://numbas.mathcentre.ac.uk/api/users/697/?format=api",
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        "full_name": "Newcastle University Mathematics and Statistics",
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    "edit": "https://numbas.mathcentre.ac.uk/question/11920/use-bezout-s-algorithm-to-solve-as-bt-gcd-a-b/?format=api",
    "preview": "https://numbas.mathcentre.ac.uk/question/11920/use-bezout-s-algorithm-to-solve-as-bt-gcd-a-b/preview/?format=api",
    "download": "https://numbas.mathcentre.ac.uk/question/11920/use-bezout-s-algorithm-to-solve-as-bt-gcd-a-b.zip?format=api",
    "source": "https://numbas.mathcentre.ac.uk/question/11920/use-bezout-s-algorithm-to-solve-as-bt-gcd-a-b.exam?format=api",
    "metadata": {
        "notes": "<p>The functions to generate the tables in the Advice could be done a lot better using the new HTML data type, but they do work.</p>",
        "licence": "Creative Commons Attribution 4.0 International",
        "description": "<p>Given two numbers, find the gcd, then use B&eacute;zout's algorithm to find $s$ and $t$ such that $as+bt=\\operatorname{gcd}(a,b)$.&nbsp;</p>"
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