
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
Simplify the expressions first, then evaluate them:

1. $x^n(x^n + 9x - 12) - 3(3x^{n+1} - 4x^n)$, where $x = -3$, $n = 2$
2. $(x^2 + 2x + 2)(x + 2) + (-x^2 + 1)(x - 5)$, where $x = -1$

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