{"status": "success", "data": {"description_md": "Assuming $a\\neq3$, $b\\neq4$, and $c\\neq5$, what is the value in simplest form of the following expression?\n$$\\frac{a-3}{5-c} \\cdot \\frac{b-4}{3-a} \\cdot \\frac{c-5}{4-b}$$\n\n$\\textbf{(A) } {-}1 \\qquad \\textbf{(B) } 1 \\qquad \\textbf{(C) } \\frac{abc}{60} \\qquad \\textbf{(D) } \\frac{1}{abc} - \\frac{1}{60} \\qquad \\textbf{(E) } \\frac{1}{60} - \\frac{1}{abc}$", "description_html": "<p>Assuming  <span class=\"katex--inline\">a\\neq3</span> ,  <span class=\"katex--inline\">b\\neq4</span> , and  <span class=\"katex--inline\">c\\neq5</span> , what is the value in simplest form of the following expression?<br/>\n <span class=\"katex--display\">\\frac{a-3}{5-c} \\cdot \\frac{b-4}{3-a} \\cdot \\frac{c-5}{4-b}</span> </p>\n<p> <span class=\"katex--inline\">\\textbf{(A) } {-}1 \\qquad \\textbf{(B) } 1 \\qquad \\textbf{(C) } \\frac{abc}{60} \\qquad \\textbf{(D) } \\frac{1}{abc} - \\frac{1}{60} \\qquad \\textbf{(E) } \\frac{1}{60} - \\frac{1}{abc}</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": "2020 AMC 10A Problem 3", "can_next": true, "can_prev": true, "nxt": "/problem/20_amc10A_p04", "prev": "/problem/20_amc10A_p02"}}