> 
eq:=1/8*2^(1/2)*(2*x*(w^4*x^11+(4*w^46*w^3)*x^10+(10*w^422*w^3+17*w^2)*x^9+(16*w^450*w^3+62*w^230*w)*x^8+(71/2+19*w^472*w^3+132*w^2114*w)*x^7+(140685/3*w+16*w^476*w^3+176*w^2)*x^6+(263841/3*w+10*w^456*w^3+331/2*w^2)*x^5+(2921385/6*w+105*w^2+4*w^430*w^3)*x^4+(821/4+w^4733/6*w10*w^3+91/2*w^2)*x^3+(173/22*w^3122/3*w+11*w^2)*x^2+(77/4+3/2*w^237/6*w)*x+3/21/2*w)*(1+I*3^(1/2))^(1/2)+2^(1/2)*(I*x*(w^4*x^11+(4*w^46*w^3)*x^10+(10*w^422*w^3+17*w^2)*x^9+(16*w^450*w^3+62*w^230*w)*x^8+(71/2+19*w^472*w^3+132*w^2114*w)*x^7+(140685/3*w+16*w^476*w^3+176*w^2)*x^6+(263841/3*w+10*w^456*w^3+331/2*w^2)*x^5+(2921385/6*w+105*w^2+4*w^430*w^3)*x^4+(821/4+w^4733/6*w10*w^3+91/2*w^2)*x^3+(173/22*w^3122/3*w+11*w^2)*x^2+(77/4+3/2*w^237/6*w)*x+3/21/2*w)*3^(1/2)1/43*w^4*x^12+(12*w^4+10*w^3)*x^11+(30*w^4+26*w^37*w^2)*x^10+(48*w^4+54*w^3+14*w^214*w)*x^9+(63/257*w^4+64*w^3+36*w^298*w)*x^8+(14048*w^4+68*w^3+80*w^2565/3*w)*x^7+(255769/3*w30*w^4+48*w^3+127/2*w^2)*x^6+(2921169/6*w12*w^4+34*w^3+45*w^2)*x^5+(797/4661/6*w+7/2*w^23*w^4+14*w^3)*x^4+(173/280/3*w+6*w^3w^2)*x^3+(69/425/6*w9/2*w^2)*x^2+(3/2+3/2*w)*x))/(x^2+x+1)^4/x^4;

> 
PDEtools:Solve(eq=0,w)

> 
interface(warnlevel=4);
kernelopts('assertlevel'=2):

> 
eq:=1/8*2^(1/2)*(2*x*(w^4*x^11+(4*w^46*w^3)*x^10+(10*w^422*w^3+17*w^2)*x^9+(16*w^450*w^3+62*w^230*w)*x^8+(71/2+19*w^472*w^3+132*w^2114*w)*x^7+(140685/3*w+16*w^476*w^3+176*w^2)*x^6+(263841/3*w+10*w^456*w^3+331/2*w^2)*x^5+(2921385/6*w+105*w^2+4*w^430*w^3)*x^4+(821/4+w^4733/6*w10*w^3+91/2*w^2)*x^3+(173/22*w^3122/3*w+11*w^2)*x^2+(77/4+3/2*w^237/6*w)*x+3/21/2*w)*(1+I*3^(1/2))^(1/2)+2^(1/2)*(I*x*(w^4*x^11+(4*w^46*w^3)*x^10+(10*w^422*w^3+17*w^2)*x^9+(16*w^450*w^3+62*w^230*w)*x^8+(71/2+19*w^472*w^3+132*w^2114*w)*x^7+(140685/3*w+16*w^476*w^3+176*w^2)*x^6+(263841/3*w+10*w^456*w^3+331/2*w^2)*x^5+(2921385/6*w+105*w^2+4*w^430*w^3)*x^4+(821/4+w^4733/6*w10*w^3+91/2*w^2)*x^3+(173/22*w^3122/3*w+11*w^2)*x^2+(77/4+3/2*w^237/6*w)*x+3/21/2*w)*3^(1/2)1/43*w^4*x^12+(12*w^4+10*w^3)*x^11+(30*w^4+26*w^37*w^2)*x^10+(48*w^4+54*w^3+14*w^214*w)*x^9+(63/257*w^4+64*w^3+36*w^298*w)*x^8+(14048*w^4+68*w^3+80*w^2565/3*w)*x^7+(255769/3*w30*w^4+48*w^3+127/2*w^2)*x^6+(2921169/6*w12*w^4+34*w^3+45*w^2)*x^5+(797/4661/6*w+7/2*w^23*w^4+14*w^3)*x^4+(173/280/3*w+6*w^3w^2)*x^3+(69/425/6*w9/2*w^2)*x^2+(3/2+3/2*w)*x))/(x^2+x+1)^4/x^4:

Error, (in Internal:FactorEasy) assertion failed, Internal:FactorEasy expects its return value to be of type list(_POWER(POLYNOMIAL, posint)), but computed [_POWER(POLYNOMIAL([0, [z, x, r1, r2, r3], [[[[1], [0, 1]], 0, [[1]]], [[1], 0, [1]], [3, 0, 1]]], [[[0, [[1]]]]]), 1), _POWER(POLYNOMIAL([0, [z, x, r1, r2, r3], [[[[1], [0, 1]], 0, [[1]]], [[1], 0, [1]], [3, 0, 1]]], [[[[0, [1]]]]]), FAIL), _POWER(POLYNOMIAL([0, [z, x, r1, r2, r3], [[[[1], [0, 1]], 0, [[1]]], [[1], 0, [1]], [3, 0, 1]]], [[[[[0, 1]]]]]), FAIL), _POWER(POLYNOMIAL([0, [z, x, r1, r2, r3], [[[[1], [0, 1]], 0, [[1]]], [[1], 0, [1]], [3, 0, 1]]], [[[[[1], [0, 1]]], 0, [[[8], [0, 8]]], 0, [[[24], [0, 24]]], 0, [[[32], [0, 32]]], 0, [[[16], [0, 16 ... , [[[160], [0, 160]]], [[[64], [0, 64]]], [[[16], [0, 16]]]]]), 1)]
> 
PDEtools:Solve(eq=0,w)

Error, (in Internal:FactorEasy) assertion failed, Internal:FactorEasy expects its return value to be of type list(_POWER(POLYNOMIAL, posint)), but computed [_POWER(POLYNOMIAL([0, [z, x, r1, r2, r3], [[[[1], [0, 1]], 0, [[1]]], [[1], 0, [1]], [3, 0, 1]]], [[[0, [[1]]]]]), 1), _POWER(POLYNOMIAL([0, [z, x, r1, r2, r3], [[[[1], [0, 1]], 0, [[1]]], [[1], 0, [1]], [3, 0, 1]]], [[[[0, [1]]]]]), FAIL), _POWER(POLYNOMIAL([0, [z, x, r1, r2, r3], [[[[1], [0, 1]], 0, [[1]]], [[1], 0, [1]], [3, 0, 1]]], [[[[[0, 1]]]]]), FAIL), _POWER(POLYNOMIAL([0, [z, x, r1, r2, r3], [[[[1], [0, 1]], 0, [[1]]], [[1], 0, [1]], [3, 0, 1]]], [[[[[1], [0, 1]]], 0, [[[8], [0, 8]]], 0, [[[24], [0, 24]]], 0, [[[32], [0, 32]]], 0, [[[16], [0, 16 ... , [[[160], [0, 160]]], [[[64], [0, 64]]], [[[16], [0, 16]]]]]), 1)]
