{"status": "success", "data": {"description_md": "If $r_{1}, r_{2}, ... , r_{1000}$ are the roots (with multiplicity) of polynomial $P(x) = x^{1000} - 2x^2 + 25x - 1$, find $r_1^{1000}+r_{2}^{1000}+...+r_{1000}^{1000}$.", "description_html": "<p>If <span class=\"katex--inline\">r_{1}, r_{2}, ... , r_{1000}</span> are the roots (with multiplicity) of polynomial <span class=\"katex--inline\">P(x) = x^{1000} - 2x^2 + 25x - 1</span>, find <span class=\"katex--inline\">r_1^{1000}+r_{2}^{1000}+...+r_{1000}^{1000}</span>.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "AMC Practice #1 - Problem 4", "can_next": true, "can_prev": true, "nxt": "/problem/amc1-p05", "prev": "/problem/amc1-p03"}}