
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]


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The smaller arc between points \( A \) and \( B \) on a circle is equal to 150 m. If the points start moving towards each other along the smaller arc, they will meet in 10 seconds; if they move along the larger arc, they will meet in 14 seconds. Determine the speeds at which the points move and the circumference of the circle, given that point \( A \) can travel around the entire circumference in the same time it takes point \( B \) to travel 90 m.

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