
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 \( a_{0} + a_{1}(2x - 1) + a_{2}(2x - 1)^{2} + a_{3}(2x - 1)^{3} + a_{4}(2x - 1)^{4} + a_{5}(2x - 1)^{5} = x^{5} \), then \( a_{2} = \)

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