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This is a Q&A forum for SageMath, the Sage mathematics software system.
For more information about Sage, see http://sagemath.org.
You can use latex for math (rendered by MathJax) like so:
$\sum_{k=0}^{p-1} C_kx^k\equiv \frac{1-(1-4x)^{(p+1)/2}}{2x}-x^{p-1}\quad\bmod (p,x^p).$
$\sum_{k=0}^{p-1} C_kx^k\equiv \frac{1-(1-4x)^{(p+1)/2}}{2x}-x^{p-1}\quad\bmod (p,x^p).$