
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
Given that $(2-x)^5 = a_0 + a_1x + a_2x^2 + \cdots + a_5x^5$, find the value of $\frac{a_0 + a_2 + a_4}{a_1 + a_3}$.
Options:
A) $-\frac{122}{121}$  
B) $-\frac{61}{60}$  
C) $-\frac{244}{241}$  
D) $-1$

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