
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
Given that the number \(\overline{73 a b c 6}\) is divisible by 56 and \(b < 4\), and that \(a\) leaves the same remainder when divided by 40, 61, and 810, find all the six-digit numbers that satisfy these conditions.

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