Competition problem — Number theory

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Number theory Difficulty 4.9 AIME Find the answer

70. A cloth bag contains several glass marbles. If you take out 2 at a time, 1 is left; if you take out 3 at a time, 1 is left; if you take out 7 at a time, 3 are left. The cloth bag contains at least $\qquad$ glass marbles.

Your answer

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

Solution

Answer: 31

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