
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
How many seven-digit natural numbers exist where the product of the first three digits is 30, the product of the three middle digits is 7, and the product of the last three digits is 15?

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