
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 $f(x) = 2x^4 + 8x^3 - 5x^2 + 2x + 5$ and $d(x) = x^2 + 2x - 3$. Use polynomial long division to find $q(x)$ and $r(x)$ such that $f(x) = q(x)d(x) + r(x)$ where $\deg r < \deg d$. Calculate $q(2) + r(-2)$.

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