
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
A frog starts at point (1, 1) in a Cartesian coordinate plane and jumps according to the following rules: 
1. The frog can jump from any point \((a, b)\) to the point \((2a, 6)\) or \((a, 2b)\).
2. If \(a > b\), the frog can jump from \((a, b)\) to \((a-b, b)\). If \(a < b\), the frog can jump from \((a, b)\) to \((a, b-a)\).

Question: Can the frog reach the following points?
1. \((24, 40)\)
2. \((40, 60)\)
3. \((24, 60)\)
4. \((200, 4)\)

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