
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 pirate is counting the loot he collected from plundering the ship Galleon X, where all valuables are recorded in base 5. The pirate has a treasure chest with $4132_{5}$ dollars worth of silverware, $1432_{5}$ dollars worth of precious gems, $2024_{5}$ dollars worth of gold coins, and $224_{5}$ dollars worth of silk fabrics. What is the total dollar amount the pirate has in his possession? Express your answer in base 10.

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