{"status": "success", "data": {"description_md": "What is the value of $$\\frac{\\left(1+\\frac13\\right)\\left(1+\\frac15\\right)\\left(1+\\frac17\\right)}{\\sqrt{\\left(1-\\frac{1}{3^2}\\right)\\left(1-\\frac{1}{5^2}\\right)\\left(1-\\frac{1}{7^2}\\right)}}?$$\n\n$\\textbf{(A)}\\ \\sqrt3 \\qquad\\textbf{(B)}\\ 2 \\qquad\\textbf{(C)}\\ \\sqrt{15} \\qquad\\textbf{(D)}\\ 4 \\qquad\\textbf{(E)}\\ \\sqrt{105}$", "description_html": "<p>What is the value of  <span class=\"katex--display\">\\frac{\\left(1+\\frac13\\right)\\left(1+\\frac15\\right)\\left(1+\\frac17\\right)}{\\sqrt{\\left(1-\\frac{1}{3^2}\\right)\\left(1-\\frac{1}{5^2}\\right)\\left(1-\\frac{1}{7^2}\\right)}}?</span> </p>\n<p> <span class=\"katex--inline\">\\textbf{(A)}\\ \\sqrt3 \\qquad\\textbf{(B)}\\ 2 \\qquad\\textbf{(C)}\\ \\sqrt{15} \\qquad\\textbf{(D)}\\ 4 \\qquad\\textbf{(E)}\\ \\sqrt{105}</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": "2022 AMC 10B Problem 5", "can_next": true, "can_prev": true, "nxt": "/problem/22_amc10B_p06", "prev": "/problem/22_amc10B_p04"}}