
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
Using the same conversion process as before (convert Fahrenheit to Celsius using $C = \frac{5}{9}(F - 32)$, round it to the nearest integer, convert it back to Fahrenheit, and round again), how many integer Fahrenheit temperatures between 32 and 2000 inclusive does the original temperature equal the final temperature?

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