
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 that ((1-2x)^{2017}=a_{0}+a_{1}(x-1)+a_{2}(x-1)^{2}+\ldots+a_{2016}(x-1)^{2016}+a_{2017}(x-1)^{2017} (x\in\mathbb{R})), calculate the value of a_{1}-2a_{2}+3a_{3}-4a_{4}+\ldots-2016a_{2016}+2017a_{2017}.

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