{"status": "success", "data": {"description_md": "If the roots of $x^4-8x^3+bx^2+cx+16$ are positive reals, for $b, c \\in \\mathbb{Z}$, find $-\\dfrac{bc}{6}$.", "description_html": "<p>If the roots of <span class=\"katex--inline\">x^4-8x^3+bx^2+cx+16</span> are positive reals, for <span class=\"katex--inline\">b, c \\in \\mathbb{Z}</span>, find <span class=\"katex--inline\">-\\dfrac{bc}{6}</span>.</p>&#10;", "hints_md": "Apply AM-GM on the roots of the polynomial.", "hints_html": "<p>Apply AM-GM on the roots of the polynomial.</p>&#10;", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 2, "problem_name": "Silver III", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}