Here is a challenging problem from the 2021 Math Calendar.

“Find the remainder from dividing the polynomial

x²⁰ + x¹⁵ + x¹⁰ + x⁵ + x + 1

by the polynomial

x⁴ + x³ + x² + x + 1”

Recall that all the answers are integer days of the month.

Answer.

See the Remainder Problem for a solution.