
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
You roll 6 standard 6-sided dice and multiply the numbers shown on each die. What is the probability that the resulting product is divisible by 2, 3, or 5?

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