{"status": "success", "data": {"description_md": "Find the number of $7$-tuples of positive integers $(a,b,c,d,e,f,g)$ that satisfy the following systems of equations:<br>\n$abc=70$,\n$cde=71$,\n$efg=72$.<br>\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": "<p>Find the number of <span class=\"katex--inline\">7</span>-tuples of positive integers <span class=\"katex--inline\">(a,b,c,d,e,f,g)</span> that satisfy the following systems of equations:<br/><br/>&#10;<span class=\"katex--inline\">abc=70</span>,<br/>&#10;<span class=\"katex--inline\">cde=71</span>,<br/>&#10;<span class=\"katex--inline\">efg=72</span>.<br/></p>&#10;<hr/>&#10;<p>Leading zeroes must be inputted, so if your answer is <code>34</code>, then input <code>034</code>. Full credit goes to <a href=\"https://maa.org/\">MAA</a> for authoring these problems. These problems were taken on the <a href=\"https://artofproblemsolving.com/\">AOPS</a> website.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "2019 AIME II Problem 3", "can_next": true, "can_prev": true, "nxt": "/problem/19_aime_II_p04", "prev": "/problem/19_aime_II_p02"}}