{"status": "success", "data": {"description_md": "Find $ax^5 + by^5$ if the real numbers $a$, $b$, $x$, and $y$ satisfy the equations
\\begin{eqnarray*} ax + by &=& 3, \\\\ ax^2 + by^2 &=& 7, \\\\ ax^3 + by^3 &=& 16, \\\\ ax^4 + by^4 &=& 42. \\end{eqnarray*}\n___\nLeading zeroes must be inputted, so if your answer is `34`, then input `034`. Full credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "description_html": "

Find ax^5 + by^5 if the real numbers a, b, x, and y satisfy the equations
\\begin{eqnarray*} ax + by &=& 3, \\ ax^2 + by^2 &=& 7, \\ ax^3 + by^3 &=& 16, \\ ax^4 + by^4 &=& 42. \\end{eqnarray*}

Leading zeroes must be inputted, so if your answer is 34, then input 034. Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.

", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 6, "problem_name": "1990 AIME Problem 15", "can_next": false, "can_prev": true, "nxt": "", "prev": "/problem/90_aime_p14"}}