
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
Let $t=\int_{0}^{\frac{\pi}{4}} \cos 2x \, dx$. If $(1-\frac{x}{t})^{2018}=a_{0}+a_{1}x+a_{2}x^{2}+\ldots+a_{2018}x^{2018}$, calculate $a_{1}+a_{2}+a_{3}+\ldots+a_{2018}$.

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