{"status": "success", "data": {"description_md": "$\\frac{x^{24}}{24}+8 \\cdot 3^{11}$ can be written as $k \\cdot A(x) \\cdot B(x) \\cdot C(x) \\cdot D(x)$, where $k$ is a rational number and $A(x), B(x), C(x)$ and $D(x)$ are non-constant polynomials with rational coefficients. Find the number of terms (including $k$) in the new form.\n\nFor example, the polynomial $\\frac{4}{63} \\cdot (x^2+4x+3) \\cdot (x+2) \\cdot (x^6+4x^5) \\cdot (9x^3+5)$ would have $10$ terms.", "description_html": "<p><span class=\"katex--inline\">\\frac{x^{24}}{24}+8 \\cdot 3^{11}</span> can be written as <span class=\"katex--inline\">k \\cdot A(x) \\cdot B(x) \\cdot C(x) \\cdot D(x)</span>, where <span class=\"katex--inline\">k</span> is a rational number and <span class=\"katex--inline\">A(x), B(x), C(x)</span> and <span class=\"katex--inline\">D(x)</span> are non-constant polynomials with rational coefficients. Find the number of terms (including <span class=\"katex--inline\">k</span>) in the new form.</p>&#10;<p>For example, the polynomial <span class=\"katex--inline\">\\frac{4}{63} \\cdot (x^2+4x+3) \\cdot (x+2) \\cdot (x^6+4x^5) \\cdot (9x^3+5)</span> would have <span class=\"katex--inline\">10</span> terms.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 4, "problem_name": "Algebra Practice #2", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}