
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
Consider a fraction $\frac{a}{b}$, where $a$ and $b$ are positive integers whose sum is $12$. Define these fractions as special. Determine how many distinct integers can be written as the sum of two, not necessarily different, special fractions.
- **A)** 6
- **B)** 8
- **C)** 10
- **D)** 12

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