
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 the general term of the sequence \(\left\{a_{n}\right\}\) be given by \(a_{n}=n^{3}-n\) \(\left(n \in \mathbf{Z}_{+}\right)\). The sequence formed by arranging the terms of \(\left\{a_{n}\right\}\) that end in the digit 0 in increasing order is \(\left\{b_{n}\right\}\). Determine the remainder when \(b_{2018}\) is divided by 7.

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