
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
When the number \( 15! \) is represented in base 12, it has \( k \) trailing zeros, and when represented in base 10, it has \( h \) trailing zeros, determine the value of \( k + h \).

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