
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 $x^{5}=a_5(2x+1)^{5}+a_4(2x+1)^{4}+\ldots+a_1(2x+1)+a_0$, find the values of $a_5$ and $a_4$.

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