Track / Stage 4 / 83 of 340 #343 of 1964

Problem 343

AMC 12 late, AIME early

Number theory Difficulty 4.7 Find the answer

4. $a, b$ 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. Spacing, $ signs and \frac vs / are all fine.

Official solution

4. 3;

Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic, difficulty and ordering added by this site.