
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

Which of the following statements are reversible:
1) If \( x = y \), then \( x^2 = y^2 \) (where \( x \) and \( y \) are real numbers).
2) If \( x = y \), then \( x^3 = y^3 \) (where \( x \) and \( y \) are real numbers).
3) For two lines to be parallel, it is necessary that they do not have a common point.
4) A line parallel to any side of a triangle cuts off a triangle similar to the given one.
5) Any cross-section of a sphere by a plane is a circle.
6) For a number to be divisible by 5, it is sufficient that it ends in the digit 5.
7) In a regular pentagon, the diagonals are equal.
8) For a fraction to be zero, it is necessary that the numerator of the fraction be zero.

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