
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
Xixi and Shanshan each have a certain number of point cards.
Xixi says to Shanshan: "If you give me 3 cards, the number of my cards will be 3 times yours."
Shanshan says to Xixi: "If you give me 4 cards, the number of my cards will be 4 times yours."
Xixi says to Shanshan: "If you give me 5 cards, the number of my cards will be 5 times yours."
It is known that exactly one of the above statements is incorrect. How many point cards did Xixi originally have?

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