
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
Given the following five statements, identify which one(s) are always true:
(1) $a(x+y)=ax+ay$
(2) $a^{x+y}=a^x+a^y$
(3) $(x+y)^2=x^2+y^2$
(4) $\sqrt{a^2 + b^2} = a + b$
(5) $a(b/c)=\frac{ab}{c}$
**A)** Only 1 and 4 are true.
**B)** Only 1 and 5 are true.
**C)** Only 1, 3, and 5 are true.
**D)** Only 1 and 2 are true.
**E)** Only 5 is true.

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