
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
For any real number $x$, there is $(x-1)^{11}=a_{0}+a_{1}(x-3)+a_{2}(x-3)^{2}+a_{3}(x-3)^{3}+…+a_{11}(x-3)^{11}$. Find the value of $\dfrac {a_{1}+a_{3}+a_{5}+a_{7}+a_{11}}{a_{9}}$.

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