
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]


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(1) A company has 750 employees, among which there are 300 male employees. To conduct a certain survey, it is planned to use stratified sampling to draw a sample of 45. The number of female employees to be drawn is ______.

(2) If 9 people are arranged in a row at random, the probability that person A is in the middle and persons B and C are adjacent is ______.

(3) In the expansion of $\left( x-\dfrac{1}{x} \right){{\left( 2x-1 \right)}^{6}}$, the coefficient of ${{x}^{3}}$ is ______. (Fill in the answer with numbers)

(4) Given the function $f\left( x \right)=a{\ln }x-b{{x}^{2}}$, where $a$, $b\in \mathbb{R}$, if the inequality $f\left( x \right)\geqslant x$ holds for all $b\in \left( -\infty ,0 \right],x\in \left( e,{{e}^{2}} \right]$, then the range of values for $a$ is ______.

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