
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
Let \( a + b + c = 0 \). Given that \( \frac{a^{2}}{2 a^{2} + b c} + \frac{b^{2}}{2 b^{2} + a c} + \frac{c^{2}}{2 c^{2} + a b} = P - 3 Q \), find the value of \( Q \).

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