{"status": "success", "data": {"description_md": "Let $ABCD$ be a parallelogram. Extend $\\overline{DA}$ through $A$ to a point $P,$ and let $\\overline{PC}$ meet $\\overline{AB}$ at $Q$ and $\\overline{DB}$ at $R.$ Given that $PQ=735$ and $QR=112,$ find $RC.$\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>Let <span class=\"katex--inline\">ABCD</span> be a parallelogram. Extend <span class=\"katex--inline\">\\overline{DA}</span> through <span class=\"katex--inline\">A</span> to a point <span class=\"katex--inline\">P,</span> and let <span class=\"katex--inline\">\\overline{PC}</span> meet <span class=\"katex--inline\">\\overline{AB}</span> at <span class=\"katex--inline\">Q</span> and <span class=\"katex--inline\">\\overline{DB}</span> at <span class=\"katex--inline\">R.</span> Given that <span class=\"katex--inline\">PQ=735</span> and <span class=\"katex--inline\">QR=112,</span> find <span class=\"katex--inline\">RC.</span></p>&#10;<hr><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>", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 4, "problem_name": "1998 AIME Problem 6", "can_next": true, "can_prev": true, "nxt": "/problem/98_aime_p07", "prev": "/problem/98_aime_p05"}}