# AIME 2020(MOCK) Problems

## Contents

## 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. ! Undefined control sequence.) denote the greatest integer less than or equal to . What is the tens digit of