{"status": "success", "data": {"description_md": "Determine $3x_4+2x_5$ if $x_1$, $x_2$, $x_3$, $x_4$, and $x_5$ satisfy the system of equations below.<br>\n$$ \\begin{array}{l} 2x_1+x_2+x_3+x_4+x_5=6 \\\\ x_1+2x_2+x_3+x_4+x_5=12 \\\\ x_1+x_2+2x_3+x_4+x_5=24 \\\\ x_1+x_2+x_3+2x_4+x_5=48 \\\\ x_1+x_2+x_3+x_4+2x_5=96 \\\\ \\end{array} $$\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>Determine <span class=\"katex--inline\">3x_4+2x_5</span> if <span class=\"katex--inline\">x_1</span>, <span class=\"katex--inline\">x_2</span>, <span class=\"katex--inline\">x_3</span>, <span class=\"katex--inline\">x_4</span>, and <span class=\"katex--inline\">x_5</span> satisfy the system of equations below.<br/><span class=\"katex--display\"> \\begin{array}{l} 2x_1+x_2+x_3+x_4+x_5=6 \\\\ x_1+2x_2+x_3+x_4+x_5=12 \\\\ x_1+x_2+2x_3+x_4+x_5=24 \\\\ x_1+x_2+x_3+2x_4+x_5=48 \\\\ x_1+x_2+x_3+x_4+2x_5=96 \\\\ \\end{array} </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": "1986 AIME Problem 4", "can_next": true, "can_prev": true, "nxt": "/problem/86_aime_p05", "prev": "/problem/86_aime_p03"}}