
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
You have a stash of silver coins. You decide to share them equally among your 15 best friends. After distributing the silver coins in 15 equal piles, you realize that if you were to give away all your silver coins, 3 people would end up receiving one extra silver coin each. You know that you have fewer than 150 silver coins. What is the largest number of silver coins you could have to make this distribution possible?

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