{"status": "success", "data": {"description_md": "**POTD Challenge December 14, 2023**\n**Author:** awesomeming327\n\nLet $a, b, c \\in \\mathbb{R}$ such that $a^2+b = b^2+c = c^2+a = 2023$. Find the number of possible values of $(a+b)(b+c)(c+a)$.", "description_html": "<p><strong>POTD Challenge December 14, 2023</strong><br/>&#10;<strong>Author:</strong> awesomeming327</p>&#10;<p>Let <span class=\"katex--inline\">a, b, c \\in \\mathbb{R}</span> such that <span class=\"katex--inline\">a^2+b = b^2+c = c^2+a = 2023</span>. Find the number of possible values of <span class=\"katex--inline\">(a+b)(b+c)(c+a)</span>.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 5, "problem_name": "Problem of the Day #25 (Challenge)", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}