
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 brave explorer has discovered a hidden cave filled with ancient artifacts. Everything in the cave is tagged with a price in base 5. The inventory includes an artifact priced at $4213_{5}$, a sculpture priced at $2431_{5}$, and a pile of rare coins worth $213_{5}$. What is the total dollar amount of all items combined expressed in base 10?

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