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I believe, there is only two solutions. Here is also Mathematica's 7 output: ``` In[1]:= Solve[-x^(1/5) + x^(1/3) + 1/7 == 0, x] Out[1]= {{x -> Root[1 - 48706 #1 + 1367434327 #1^2 - 2107426771968 #1^3 + 10242552528740 #1^4 + 4747561509943 #1^5 &, 2]}, {x -> Root[1 - 48706 #1 + 1367434327 #1^2 - 2107426771968 #1^3 + 10242552528740 #1^4 + 4747561509943 #1^5 &, 3]}} ```
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