The term independent of x in expansion of (x + 1/x^(2/3) - x^(1/3) + 1 - x^(5/x) - x^(1/2))^10 is:

Let the given expression be denoted by E. Then
E = (x + 1/x^(2/3) - x^(1/3) + 1 - x^(5/x) - x^(1/2))^10
We are looking for the term independent of x in the expansion of E. This means we are looking for the constant term.
The general term in the binomial expansion of (a + b)^n is given by:
T_(r+1) = nCr * a^(n-r) * b^r
In our case, we have a complicated expression inside the parentheses raised to the power 10. Finding the constant term directly would be extremely complex. We need to analyze the terms and see which combinations might lead to a constant term. However, the expression includes terms like x^(5/x) which is not a polynomial and is difficult to expand using binomial theorem. The problem statement appears to contain an error in defining the expression, as the term x^(5/x) is not a standard algebraic term suitable for binomial expansion.
Assuming there's a typo and the expression is meant to be (x + 1/x^(2/3) - x^(1/3) + 1 - x - x^(1/2))^10, the expansion would still be quite complex and it's difficult to solve it without computational aid. The correct approach to this problem will depend on the actual, correctly written, expression.
Without a corrected and well-defined expression, a precise solution cannot be provided.