Welcome to Episode 3 of Season 1: Unlocking Number Theory and Algebra! This episode presents solutions to several math problems involving number bases and other mathematical concepts. Specific problems include finding remainders after division, converting between different number bases (such as base 10, base 8, and base 11), and identifying palindromic numbers. Each problem is clearly stated, followed by a detailed solution and citation to the source of the problem (often an AMC or AIME competition). The solutions employ various mathematical techniques, including algebraic manipulation and pattern recognition. The overall goal is to illustrate problem-solving strategies within the context of number theory.