
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 the equation \(x+\frac{1}{x} = \sqrt{7}\). Find the value of \(x^{12}-8x^8+x^4\).
**A)** -1030  
**B)** -2060  
**C)** 259  
**D)** 1365  
**E)** 2900

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