
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 recounts the loot from a recent raid on the ship S.S. Adventura, which also uses base 5 for counting valuables. Inside the captured loot, there is $4123_5$ dollars worth of silverware, $2021_5$ dollars worth of silk garments, and $231_5$ dollars worth of rare spices. What is the total dollar value of the items the pirate has seized? Provide the answer in base 10.

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