{"status": "success", "data": {"description_md": "What is the greatest integer less than or equal to $$\\frac{3^{100}+2^{100}}{3^{96}+2^{96}}?$$\n\n$\\textbf{(A) }80\\qquad\n\\textbf{(B) }81 \\qquad\n\\textbf{(C) }96 \\qquad\n\\textbf{(D) }97 \\qquad\n\\textbf{(E) }625\\qquad$", "description_html": "<p>What is the greatest integer less than or equal to  <span class=\"katex--display\">\\frac{3^{100}+2^{100}}{3^{96}+2^{96}}?</span> </p>\n<p> <span class=\"katex--inline\">\\textbf{(A) }80\\qquad\n\\textbf{(B) }81 \\qquad\n\\textbf{(C) }96 \\qquad\n\\textbf{(D) }97 \\qquad\n\\textbf{(E) }625\\qquad</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": "2018 AMC 10A Problem 14", "can_next": true, "can_prev": true, "nxt": "/problem/18_amc10A_p15", "prev": "/problem/18_amc10A_p13"}}