
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
Consider the three-digit number 864 where altering the middle digit can potentially affect divisibility rules. If you change the middle digit \(D\) (in place of 6) so that the new number \(8D4\) is divisible by 4, how many possibilities are there for \(D\)?

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