
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 several gold coins. If the coins are equally divided among 8 people, six coins are left over. If the coins are equally divided among 7 people, five coins are left over. If the coins are equally divided among 9 people, there is one coin left over. If the box holds the smallest number of coins that meets these three conditions, how many coins are left when equally divided among 11 people?

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