
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 \(x = \frac{1 + i\sqrt{3}}{2}\), where \(i = \sqrt{-1}\). Compute \(\frac{1}{x^2-x}\).
A) \( -2 \)
B) \( -1 \)
C) \( 1+i\sqrt{3} \)
D) \( 1 \)
E) \( 2 \)

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