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    "url": "https://numbas.mathcentre.ac.uk/api/questions/11976/?format=api",
    "name": "Solve three congruences with the Chinese Remainder Theorem",
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        "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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    "source": "https://numbas.mathcentre.ac.uk/question/11976/solve-three-congruences-with-the-chinese-remainder.exam?format=api",
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        "licence": "Creative Commons Attribution 4.0 International",
        "description": "<p>Solving three simultaneous congruences using the Chinese Remainder Theorem:</p>\n<p>\\[\\begin{eqnarray*} x\\;&amp;\\equiv&amp;\\;b_1\\;&amp;\\mod&amp;\\;n_1\\\\ x\\;&amp;\\equiv&amp;\\;b_2\\;&amp;\\mod&amp;\\;n_2\\\\x\\;&amp;\\equiv&amp;\\;b_3\\;&amp;\\mod&amp;\\;n_3 \\end{eqnarray*} \\] where $\\operatorname{gcd}(n_1,n_2,n_3)=1$</p>"
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