{"status": "success", "data": {"description_md": "The polynomial $x^3 -ax^2 + bx -2010$ has three positive integer roots. What is the smallest possible value of $a$?\n\n$\\mathrm{(A)}\\ 78\n\\qquad\n\\mathrm{(B)}\\ 88\n\\qquad\n\\mathrm{(C)}\\ 98\n\\qquad\n\\mathrm{(D)}\\ 108\n\\qquad\n\\mathrm{(E)}\\ 118$", "description_html": "<p>The polynomial  <span class=\"katex--inline\">x^3 -ax^2 + bx -2010</span>  has three positive integer roots. What is the smallest possible value of  <span class=\"katex--inline\">a</span> ?</p>\n<p> <span class=\"katex--inline\">\\mathrm{(A)}\\ 78\n\\qquad\n\\mathrm{(B)}\\ 88\n\\qquad\n\\mathrm{(C)}\\ 98\n\\qquad\n\\mathrm{(D)}\\ 108\n\\qquad\n\\mathrm{(E)}\\ 118</span> </p>\n<hr><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>", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 4, "problem_name": "2010 AMC 10A Problem 21", "can_next": true, "can_prev": true, "nxt": "/problem/10_amc10A_p22", "prev": "/problem/10_amc10A_p20"}}