
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 \(a, b, c\) be non-zero complex numbers, and \(\frac{a}{b} = \frac{b}{c} = \frac{c}{a}\). Evaluate the expression \(\frac{a+b-c}{a-b+c}\).

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