
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
When Ringo places his marbles into bags with 8 marbles per bag, he has 5 marbles left over, and when Paul does the same, he has 7 marbles left over. George has 2 fewer marbles than the amount needed to fill one of these bags completely. Determine the number of marbles that will be left over when they pool all their marbles and place them into as many bags as possible, with 8 marbles per bag.

Present the answer in LaTex format: \boxed{Your answer}
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