{"status": "success", "data": {"description_md": "Suppose that the number $a$ satisfies the equation $4 = a + a^{ - 1}$. What is the value of $a^{4} + a^{ - 4}$?\n\n$\\text{(A)}\\ 164 \\qquad \\text{(B)}\\ 172 \\qquad \\text{(C)}\\ 192 \\qquad \\text{(D)}\\ 194 \\qquad \\text{(E)}\\ 212$", "description_html": "<p>Suppose that the number  <span class=\"katex--inline\">a</span>  satisfies the equation  <span class=\"katex--inline\">4 = a + a^{ - 1}</span> . What is the value of  <span class=\"katex--inline\">a^{4} + a^{ - 4}</span> ?</p>\n<p> <span class=\"katex--inline\">\\text{(A)}\\ 164 \\qquad \\text{(B)}\\ 172 \\qquad \\text{(C)}\\ 192 \\qquad \\text{(D)}\\ 194 \\qquad \\text{(E)}\\ 212</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": "2007 AMC 10A Problem 20", "can_next": true, "can_prev": true, "nxt": "/problem/07_amc10A_p21", "prev": "/problem/07_amc10A_p19"}}