{"status": "success", "data": {"description_md": "For real numbers $w$ and $z$, \n$$\\frac{\\frac{1}{w} + \\frac{1}{z}}{\\frac{1}{w} - \\frac{1}{z}} = 2014.$$\nWhat is $\\frac{w+z}{w-z}$?\n\t\n\n$\\textbf{(A) } -2014 \\qquad\\textbf{(B) } \\frac{-1}{2014} \\qquad\\textbf{(C) } \\frac{1}{2014} \\qquad\\textbf{(D) } 1 \\qquad\\textbf{(E) } 2014$", "description_html": "<p>For real numbers  <span class=\"katex--inline\">w</span>  and  <span class=\"katex--inline\">z</span> ,<br/>\n <span class=\"katex--display\">\\frac{\\frac{1}{w} + \\frac{1}{z}}{\\frac{1}{w} - \\frac{1}{z}} = 2014.</span> <br/>\nWhat is  <span class=\"katex--inline\">\\frac{w+z}{w-z}</span> ?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A) } -2014 \\qquad\\textbf{(B) } \\frac{-1}{2014} \\qquad\\textbf{(C) } \\frac{1}{2014} \\qquad\\textbf{(D) } 1 \\qquad\\textbf{(E) } 2014</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": "2014 AMC 10B Problem 9", "can_next": true, "can_prev": true, "nxt": "/problem/14_amc10B_p10", "prev": "/problem/14_amc10B_p08"}}