
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 an unknown quantity of pearls. If the pearls are distributed equally among 8 people, 6 pearls are left over. Similarly, if the pearls are distributed equally among 7 people, 5 pearls remain. What is the smallest number of pearls in the chest that satisfies these conditions, and how many pearls are left when equally divided among 9 people?

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