
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
A specific mathematical expression $\frac{1051}{1050} - \frac{1050}{1051}$ simplifies to a fraction $\frac{p}{q}$ where $p$ and $q$ are coprime integers. Determine the value of $p$.
A) 1050
B) 1051
C) 1100
D) 2099
E) 2101

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