
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
A chest contains silver coins. If the coins are equally divided among seven people, three coins are left over. If the coins are equally divided among four people, two coins are left over. If the chest holds the smallest number of coins that meets these two conditions, how many coins are left when equally divided among eight people?

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