{"status": "success", "data": {"description_md": "All the roots of the polynomial $z^6-10z^5+Az^4+Bz^3+Cz^2+Dz+16$ are positive integers, possibly repeated. What is the value of $B$?\n\n$\\textbf{(A) }{-}88 \\qquad \\textbf{(B) }{-}80 \\qquad \\textbf{(C) }{-}64 \\qquad \\textbf{(D) }{-}41\\qquad \\textbf{(E) }{-}40$", "description_html": "<p>All the roots of the polynomial  <span class=\"katex--inline\">z^6-10z^5+Az^4+Bz^3+Cz^2+Dz+16</span>  are positive integers, possibly repeated. What is the value of  <span class=\"katex--inline\">B</span> ?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A) }{-}88 \\qquad \\textbf{(B) }{-}80 \\qquad \\textbf{(C) }{-}64 \\qquad \\textbf{(D) }{-}41\\qquad \\textbf{(E) }{-}40</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": 3, "problem_name": "2021 AMC 10A Problem 14", "can_next": true, "can_prev": true, "nxt": "/problem/21_amc10A_p15", "prev": "/problem/21_amc10A_p13"}}