
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 unique sequence in mathematics uses the exponents of the prime factorization of 1170 in a positioning system where each place represents a prime, using similar rules as in the original problem. Determine what this number would be written in base prime representation.

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