
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
If $\left(1-2x\right)^{5}=a_{0}+a_{1}x+\ldots +a_{5}x^{5}$, $a_{i}\in R$, $i=0$, $1$, $\ldots $, $5$, then $a_{2}+a_{4}=\_\_\_\_\_\_$. (Provide the answer as a number)

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