Track / Stage 4 / 99 of 340 #359 of 1964

Problem 359

AMC 12 late, AIME early

Number theory Difficulty 4.7 Find the answer

$a, b$ are integers, $a$ divided by 7 leaves a remainder of $2, b$ divided by 7 leaves a remainder of 5, when $a^{2}>3 b$ , the remainder of $a^{2}-3 b$ divided by 7 is

Your answer

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Official solution

4. 3;

Source: NuminaMath-1.5, licensed Apache-2.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.