{"status": "success", "data": {"description_md": "Let a, b, c, d, and e be distinct integers such that\n\n$(6-a)(6-b)(6-c)(6-d)(6-e)=45$.\n<br>What is $a+b+c+d+e$?\n\n$\\mathrm{(A)}\\ 5\\qquad \\mathrm{(B)}\\ 17\\qquad \\mathrm{(C)}\\ 25\\qquad \\mathrm{(D)}\\ 27\\qquad \\mathrm{(E)}\\ 30$\n___\nFull 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 a, b, c, d, and e be distinct integers such that</p>&#10;<p><span class=\"katex--inline\">(6-a)(6-b)(6-c)(6-d)(6-e)=45</span>.<br/>&#10;<br/>What is <span class=\"katex--inline\">a+b+c+d+e</span>?</p>&#10;<p><span class=\"katex--inline\">\\mathrm{(A)}\\ 5\\qquad \\mathrm{(B)}\\ 17\\qquad \\mathrm{(C)}\\ 25\\qquad \\mathrm{(D)}\\ 27\\qquad \\mathrm{(E)}\\ 30</span></p>&#10;<hr/>&#10;<p>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": "2007 AMC 12A Problem 14", "can_next": true, "can_prev": true, "nxt": "/problem/07_amc12A_p15", "prev": "/problem/07_amc12A_p13"}}