Task 224
Task 224: test task in emrekuruu/math-openenv, an RL environment on the Hugging Face Hub. If $P(x)$ is a polynomial in $x,$ and \ x^{23} + 23x^{17} - 18x^{16} - 24x^{15} + 108x^{14} = (x^4 - 3x^2 - 2x + 9) P(x)\ for all values of $x,$ compute the sum of the coefficients of $P(x).$
The task
If $P(x)$ is a polynomial in $x,$ and \[x^{23} + 23x^{17} - 18x^{16} - 24x^{15} + 108x^{14} = (x^4 - 3x^2 - 2x + 9) P(x)\]for all values of $x,$ compute the sum of the coefficients of $P(x).$