
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 three-digit number \(\overline{abc}\) is a multiple of 15, the two-digit number \(\overline{bc}\) is a multiple of 4, and \(a > b > c\). How many such \(\overline{abc}\) satisfy the given conditions?

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