
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 the number of two-digit positive integers $n$ such that $R(n) = R(n+2)$ where $R(n)$ is the sum of remainders when $n$ is divided by $2, 3, 4, 5, 6, 7, 8$, and $9$.
- **A) 0**
- **B) 1**
- **C) 2**
- **D) 3**
- **E) More than 3**

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