
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 $(2-x)^5 = a_0 + a_1x + a_2x^2 + \ldots + a_5x^5$, calculate the value of $\frac {a_{0}+a_{2}+a_{4}}{a_{1}+a_{3}+a_{5}}$

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