
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 $q(x)$ be a polynomial such that $q(x) + (x^6 + 5x^4 + 10x^2) = (10x^4 + 35x^3 + 40x^2 + 15x + 5)$. Find the polynomial $q(x)$, listed in decreasing order of the degrees of its terms.

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