{"status": "success", "data": {"description_md": "How many ordered pairs of integers $(m,n)$ satisfy the equation $m^2+mn+n^2 = m^2n^2$?\n\n$\\textbf{(A) }7\\qquad\\textbf{(B) }1\\qquad\\textbf{(C) }3\\qquad\\textbf{(D) }6\\qquad\\textbf{(E) }5$", "description_html": "<p>How many ordered pairs of integers  <span class=\"katex--inline\">(m,n)</span>  satisfy the equation  <span class=\"katex--inline\">m^2+mn+n^2 = m^2n^2</span> ?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A) }7\\qquad\\textbf{(B) }1\\qquad\\textbf{(C) }3\\qquad\\textbf{(D) }6\\qquad\\textbf{(E) }5</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": "2023 AMC 10B Problem 14", "can_next": true, "can_prev": true, "nxt": "/problem/23_amc10B_p15", "prev": "/problem/23_amc10B_p13"}}