
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
If $2^a + 2^b + 5^e = 3^c + 3^d + 5^f$, find the number of integers $a, b, c, d, e, f$ that can possibly be negative.
A) 6
B) 5
C) 4
D) 3
E) 0

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