{"status": "success", "data": {"description_md": "Which of the following is equivalent to $\\sqrt{\\frac{x}{1-\\frac{x-1}{x}}}$ when $x < 0$?\n\n$\\mathrm{(A) \\ } -x\\qquad \\mathrm{(B) \\ } x\\qquad \\mathrm{(C) \\ } 1\\qquad \\mathrm{(D) \\ } \\sqrt{\\frac{x}{2}}\\qquad \\mathrm{(E) \\ } x\\sqrt{-1}$", "description_html": "<p>Which of the following is equivalent to  <span class=\"katex--inline\">\\sqrt{\\frac{x}{1-\\frac{x-1}{x}}}</span>  when  <span class=\"katex--inline\">x &lt; 0</span> ?</p>\n<p> <span class=\"katex--inline\">\\mathrm{(A) \\ } -x\\qquad \\mathrm{(B) \\ } x\\qquad \\mathrm{(C) \\ } 1\\qquad \\mathrm{(D) \\ } \\sqrt{\\frac{x}{2}}\\qquad \\mathrm{(E) \\ } x\\sqrt{-1}</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 10B Problem 7", "can_next": true, "can_prev": true, "nxt": "/problem/06_amc10B_p08", "prev": "/problem/06_amc10B_p06"}}