
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
There are 15 balls in a bag. Color each ball in one of three colors: blue, green, or red - such that two statements are true and one is false:

- There is one more blue ball than red balls.
- There are as many red balls as green balls.
- There are 5 more blue balls than green balls.

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