
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
Suppose the random variable $X$ follows a normal distribution $N\left( 2,{3}^{2} \right)$, and $P\left( X\leqslant 1 \right)=P\left( X\geqslant a \right)$, then the coefficient of the ${x}^{3}$ term in the expansion of ${\left( x+a \right)}^{2}{\left( ax-\dfrac{1}{\sqrt{x}} \right)}^{5}$ is \_\_\_\_\_\_\_\_\_\_.

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