sympy__sympy-13915
Based on my understanding of the SymPy issue and the discussions in the GitHub issue, I can create the fix. The issue is in sympy/core/mul.py where the _gather helper in the Mul class combines powers incorrectly when the base contains…
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Based on my understanding of the SymPy issue and the discussions in the GitHub issue, I can create the fix. The issue is in `sympy/core/mul.py` where the `_gather` helper in the `Mul` class combines powers incorrectly when the base contains infinity.
From the issue discussion:
1. `(z + zoo)/(z + zoo)` incorrectly returns `1` because powers are combined
2. The fix should return `nan` when combining an expression containing infinity with its inverse
3. The key is checking if the base contains `zoo` (ComplexInfinity), `oo`, or `-oo` before combining powers
Based on my knowledge of SymPy's codeb
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