{"status": "success", "data": {"description_md": "**POTD November 20, 2023**\n**Author:** qgek\n\nIf $x+y+z = 6$, $x^{2}+y^{2}+z^{2} = 14$, and $x^{3}+y^{3}+z^{3} = 36$, find the value of $xyz$.", "description_html": "<p><strong>POTD November 20, 2023</strong><br/>&#10;<strong>Author:</strong> qgek</p>&#10;<p>If <span class=\"katex--inline\">x+y+z = 6</span>, <span class=\"katex--inline\">x^{2}+y^{2}+z^{2} = 14</span>, and <span class=\"katex--inline\">x^{3}+y^{3}+z^{3} = 36</span>, find the value of <span class=\"katex--inline\">xyz</span>.</p>&#10;", "hints_md": "Use these formulas:\n- $(x+y+z)^2 = x^2+y^2+z^2+2xy+2xz+2yz$\n- $x^3+y^3+z^3-3xyz$ $=$ $(x+y+z)(x^2+y^2+z^2-xy-xz-yz)$", "hints_html": "<p>Use these formulas:</p>&#10;<ul>&#10;<li><span class=\"katex--inline\">(x+y+z)^2 = x^2+y^2+z^2+2xy+2xz+2yz</span></li>&#10;<li><span class=\"katex--inline\">x^3+y^3+z^3-3xyz</span> <span class=\"katex--inline\">=</span> <span class=\"katex--inline\">(x+y+z)(x^2+y^2+z^2-xy-xz-yz)</span></li>&#10;</ul>&#10;", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "Problem of the Day #1", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}