
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
Define two sequences \(A\) and \(B\) as follows:
\[A = 2 \times 3 + 4 \times 5 + 6 \times 7 + \cdots + 40 \times 41 + 42,\]
\[B = 2 + 3 \times 4 + 5 \times 6 + \cdots + 39 \times 40 + 41 \times 42.\]
Find the positive difference between \(A\) and \(B\).

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