
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 the polynomial x<sup>2</sup>+2x<sup>11</sup>=a<sub>0</sub>+a<sub>1</sub>(x+1)+……+a<sub>10</sub>(x+1)<sup>10</sup>+a<sub>11</sub>(x+1)<sup>11</sup>, find the value of a<sub>10</sub>.

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