
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 box contains a certain number of gold coins. When these coins are divided among eight people, five coins are left over. When divided among seven people, four coins are left over. What is the smallest number of coins that meets both conditions, and how many coins are left when divided among nine people?

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