{"status": "success", "data": {"description_md": "**POTD April 27, 2024**\n\nFind the number of polynomials $p(x) \\forall x \\in \\mathbb{R}.$ with integer coefficients satisfying:\n- $p(x) \\geq \\min\\left(2x^4 - 6x^2 + 1, 4 - 5x^2\\right)$\n- $p(x) \\leq \\max\\left(2x^4 - 6x^2 + 1, 4 - 5x^2\\right)$", "description_html": "<p><strong>POTD April 27, 2024</strong></p>&#10;<p>Find the number of polynomials <span class=\"katex--inline\">p(x) \\forall x \\in \\mathbb{R}.</span> with integer coefficients satisfying:</p>&#10;<ul>&#10;<li><span class=\"katex--inline\">p(x) \\geq \\min\\left(2x^4 - 6x^2 + 1, 4 - 5x^2\\right)</span></li>&#10;<li><span class=\"katex--inline\">p(x) \\leq \\max\\left(2x^4 - 6x^2 + 1, 4 - 5x^2\\right)</span></li>&#10;</ul>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 4, "problem_name": "Problem of the Day #139", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}