
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 $5^a + 5^b = 3^c + 3^d$, determine the maximal number of integers, among variables $a, b, c, d$, which can be negative. Here $a, b, c, d$ are integers, and $a \leq b$, $c \leq d$.
A) 4
B) 3
C) 2
D) 1
E) 0

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