
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 three propositions:

(1) If the radius of a sphere is reduced to half of its original size, then its volume is reduced to $\frac{1}{8}$ of its original size.

(2) If the average values of two sets of data are equal, then their standard deviations are also equal.

(3) The line $x + y + 1 = 0$ is tangent to the circle $x^2 + y^2 = \frac{1}{2}$.

Determine the sequence number(s) of the true proposition(s).

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