
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
 $\frac{a^3}{b^3}$ + $\frac{a^3+1}{b^3+1}$ +...+ $\frac{a^3+2015}{b^3+2015}$ =2016
b - positive integer, b can't be 0
a - real
Find  $\frac{a^3}{b^3}$ * $\frac{a^3+1}{b^3+1}$ *...* $\frac{a^3+2015}{b^3+2015}$ 

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