
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 binomial expansion of \\(\left( x-\\frac{2}{\\sqrt{x}} \\right)^{10}\\),

(1) Find the coefficient of the term containing \(x^{4}\);

(2) If the binomial coefficients of the \(3r\)-th term and the \((r+2)\)-th term are equal, find the value of \(r\).

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