{"status": "success", "data": {"description_md": "The function $f$, defined on the set of ordered pairs of positive integers, satisfies the following properties:
\\begin{eqnarray*} f(x,x) &=& x, \\\\ f(x,y) &=& f(y,x), \\quad \\text{and} \\\\ (x + y) f(x,y) &=& yf(x,x + y). \\end{eqnarray*}
Calculate $f(14,52)$.\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": "

The function f, defined on the set of ordered pairs of positive integers, satisfies the following properties:
\\begin{eqnarray*} f(x,x) &=& x, \\ f(x,y) &=& f(y,x), \\quad \\text{and} \\ (x + y) f(x,y) &=& yf(x,x + y). \\end{eqnarray*}
Calculate f(14,52).

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": 4, "problem_name": "1988 AIME Problem 8", "can_next": true, "can_prev": true, "nxt": "/problem/88_aime_p09", "prev": "/problem/88_aime_p07"}}