
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
If \({(1-3x)}^{2018}={a}_0+{a}_1x+\ldots+{a}_{2018}x^{2018},x\in\mathbb{R}\), calculate the value of \({a}_1\cdot3+{a}_2\cdot3^2+\ldots+{a}_{2018}\cdot3^{2018}\).

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