
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
The real number \( x \) satisfies \( x + \frac{1}{x} = 3 \). Calculate \( x^{12} - 7x^6 + x^2 \).
A) \( 45362x - 17327 \)
B) \( 45363 \)
C) \( 45363x - 17327 \)
D) \( 44363x - 17327 \)

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