
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
Given real numbers \(a\), \(b\), and \(c\) such that \(a^2+3b=2\), \(b^2+5c=3\), and \(c^2+7a=6\), find the value of \(a^3+b^3+c^3\).
A) \(-1.125\) 
B) \(-1\) 
C) \(-0.875\) 
D) \(-0.75\) 
E) \(-0.625\)

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