
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
Suppose $q(x)$ is a function such that $q(x) + (x^6 + 4x^4 + 8x^2 + 7x) = (12x^4 + 30x^3 + 40x^2 + 10x + 2)$. Express $q(x)$ as a polynomial in standard form.

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