{"status": "success", "data": {"description_md": "The polynomial expression $x^4 - 14x^3 + ax^2 - bx + 36$ has exactly two positive integer roots of multiplicity $2$, for $a, b \\in \\mathbb{R}$. What is $a + b$?  \n  \n$\\textbf{(A)}~132 \\qquad \\textbf{(B)}~145 \\qquad \\textbf{(C)}~168 \\qquad \\textbf{(D)}~185 \\qquad \\textbf{(E)}~200$", "description_html": "<p>The polynomial expression <span class=\"katex--inline\">x^4 - 14x^3 + ax^2 - bx + 36</span> has exactly two positive integer roots of multiplicity <span class=\"katex--inline\">2</span>, for <span class=\"katex--inline\">a, b \\in \\mathbb{R}</span>. What is <span class=\"katex--inline\">a + b</span>?</p>&#10;<p><span class=\"katex--inline\">\\textbf{(A)}~132 \\qquad \\textbf{(B)}~145 \\qquad \\textbf{(C)}~168 \\qquad \\textbf{(D)}~185 \\qquad \\textbf{(E)}~200</span></p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 2, "problem_name": "2024 Mock AMC 10 - Problem 14", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}