
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
Find a positive integral solution to the equation
\[
\frac{1+3+5+\dots+(2n-1)}{2+4+6+\dots+2n} = \frac{125}{126}
\]
**A)** 124
**B)** 125
**C)** 126
**D)** 127
**E)** No positive integral solutions

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