{"status": "success", "data": {"description_md": "**POTD January 27, 2024**\n\nIf the smallest value of $\\frac{5}{x}+\\frac{10}{1-x}$ can be expressed as $a+b\\sqrt{c}$, where $c$ is not divisible by the square of any prime, and $a, b, c > 0$, find the value of $a+b+c$.", "description_html": "<p><strong>POTD January 27, 2024</strong></p>&#10;<p>If the smallest value of <span class=\"katex--inline\">\\frac{5}{x}+\\frac{10}{1-x}</span> can be expressed as <span class=\"katex--inline\">a+b\\sqrt{c}</span>, where <span class=\"katex--inline\">c</span> is not divisible by the square of any prime, and <span class=\"katex--inline\">a, b, c &gt; 0</span>, find the value of <span class=\"katex--inline\">a+b+c</span>.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "Problem of the Day #53", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}