{"status": "success", "data": {"description_md": "**POTD May 18, 2024**\n\nIf $14(x^2+y^2+z^2) = (x+2y+3z)^2$ for $x, y, z \\in \\mathbb{R}$, and $x:y:z$ can be expressed as $p:q:r$, where $p, q, r \\in \\mathbb{Z}^+$ and $\\gcd(p, q, r) = 1$, compute $p+q+r$.", "description_html": "<p><strong>POTD May 18, 2024</strong></p>&#10;<p>If <span class=\"katex--inline\">14(x^2+y^2+z^2) = (x+2y+3z)^2</span> for <span class=\"katex--inline\">x, y, z \\in \\mathbb{R}</span>, and <span class=\"katex--inline\">x:y:z</span> can be expressed as <span class=\"katex--inline\">p:q:r</span>, where <span class=\"katex--inline\">p, q, r \\in \\mathbb{Z}^+</span> and <span class=\"katex--inline\">\\gcd(p, q, r) = 1</span>, compute <span class=\"katex--inline\">p+q+r</span>.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 2, "problem_name": "Problem of the Day #160", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}