
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
Two arithmetic sequences \(X\) and \(Y\) both start with the number 40. Sequence \(X\) has a common difference of 12, while sequence \(Y\) has a common difference of -8. Calculate the absolute value of the difference between the 101st terms of sequences \(X\) and \(Y\).

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