AIME 2020(MOCK) Problems
Contents
[hide]Problem 1
Let be . What is the remainder when is divided by ?
Problem 2
Let be a set of polynomials with integral coefficients such that the roots of are , , and . What is the least possible sum of the coefficients of ?
Problem 3
How many digit base positive integers consist of exactly pairs of consecutive s but no consecutive s?
Problem 4
Let $\lfloor\x\rfloor$ (Error compiling LaTeX. Unknown error_msg) denote the greatest integer less than or equal to . What is the tens digit of