{"status": "success", "data": {"description_md": "What non-zero real value for $x$ satisfies $(7x)^{14}=(14x)^7$?\n\n$\\mathrm{(A)}\\ \\frac17\\qquad\\mathrm{(B)}\\ \\frac27\\qquad\\mathrm{(C)}\\ 1\\qquad\\mathrm{(D)}\\ 7\\qquad\\mathrm{(E)}\\ 14$", "description_html": "<p>What non-zero real value for  <span class=\"katex--inline\">x</span>  satisfies  <span class=\"katex--inline\">(7x)^{14}=(14x)^7</span> ?</p>\n<p> <span class=\"katex--inline\">\\mathrm{(A)}\\ \\frac17\\qquad\\mathrm{(B)}\\ \\frac27\\qquad\\mathrm{(C)}\\ 1\\qquad\\mathrm{(D)}\\ 7\\qquad\\mathrm{(E)}\\ 14</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": 1, "problem_name": "2006 AMC 10A Problem 6", "can_next": true, "can_prev": true, "nxt": "/problem/06_amc10A_p07", "prev": "/problem/06_amc10A_p05"}}