{"status": "success", "data": {"description_md": "Suppose that the roots of $x^3+3x^2+4x-11=0$ are $a, b,$ and $c,$ and that the roots of $x^3+rx^2+sx+t=0$ are $a+b, b+c,$ and $c+a.$ Find $t.$\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>Suppose that the roots of <span class=\"katex--inline\">x^3+3x^2+4x-11=0</span> are <span class=\"katex--inline\">a, b,</span> and <span class=\"katex--inline\">c,</span> and that the roots of <span class=\"katex--inline\">x^3+rx^2+sx+t=0</span> are <span class=\"katex--inline\">a+b, b+c,</span> and <span class=\"katex--inline\">c+a.</span> Find <span class=\"katex--inline\">t.</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": 3, "problem_name": "1996 AIME Problem 5", "can_next": true, "can_prev": true, "nxt": "/problem/96_aime_p06", "prev": "/problem/96_aime_p04"}}