
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
Calculate the value of the function \\(f(x)=2x^{5}-3x^{3}+5x^{2}-4\\) at \\(x=2\\) using the Qin Jiushao algorithm, where \\(v\_{3}=\\) \_\_\_\_\_\_. (Note: In the function \\(f(x)=a\_{n}x^{n}+a\_{n-1}x^{n-1}+…+a\_{1}x+a\_{0}\\), the Qin Jiushao algorithm is defined as \\( \\begin{cases} \\overset{v\_{0}=a\_{n}}{v\_{k}=v\_{k-1}x+a\_{n-k}(k=1,2,\\cdots ,n)}\\end{cases})\\)

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