Find the sum of the real roots of the polynomial
\[x^6 + x^4 - 115x^3 + x^2 + 1 = 0.\]
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Find the sum of the real roots of the polynomial
\[x^6 + x^4 - 115x^3 + x^2 + 1 = 0.\]
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
5
Find the sum of the real roots of the polynomial
\[x^6 + x^4 - 115x^3 + x^2 + 1 = 0.\]
train