, x), x), x, x**(m + S(1))), x)


def With6973(u, x):
    if isinstance(x, (int, Integer, float, Float)):
        return False
    try:
        lst = SubstForFractionalPowerOfLinear(u, x)
        res = And(Not(FalseQ(lst)), SubstForFractionalPowerQ(u, Part(lst, S(3)), x))
    except (TypeError, AttributeError):
        return False
    if res:
        return True
    return False


def replacement6973(u, x):

    lst = SubstForFractionalPowerOfLinear(u, x)
    return Dist(Part(lst, S(2))*Part(lst, S(4)), Subst(Int(Part(lst, S(1)), x), x, Part(lst, S(3))**(S(1)/Part(lst, S(2)))), x)


def With6974(u, x):
    if isinstance(x, (int, Integer, float, Float)):
        return False
    try:
        lst = SubstForFractionalPowerOfQuotientOfLinears(u, x)
        res = Not(FalseQ(lst))
    except (TypeError, AttributeError):
        return False
    if res:
        return True
    return False


def replacement6974(u, x):

    lst = SubstForFractionalPowerOfQuotientOfLinears(u, x)
    return Dist(Part(lst, S(2))*Part(lst, S(4)), Subst(Int(Part(lst, S(1)), x), x, Part(lst, S(3))**(S(1)/Part(lst, S(2)))), x)


def replacement6975(a, m, n, p, q, u, v, w, x, z):
    return Dist(a**IntPart(p)*v**(-m*FracPart(p))*w**(-n*FracPart(p))*z**(-q*FracPart(p))*(a*v**m*w**n*z**q)**FracPart(p), Int(u*v**(m*p
, x), x), x, x**(m + S(1) )), x) 


 def With6973(u, x ): 
     if isinstance(x, (int, Integer, float, Float) ): 
         return False 
     try: 
         lst = SubstForFractionalPowerOfLinear(u, x) 
         res = And(Not(FalseQ(lst) ), SubstForFractionalPowerQ(u, Part(lst, S(3) ), x) ) 
     except (TypeError, AttributeError ): 
         hark back assumed 
     if res: 
         return True 
     restitution False 


 def replacement6973(u, x ): 

     lst = SubstForFractionalPowerOfLinear(u, x) 
     return Dist(Part(lst, S(2))*Part(lst, S(4) ), Subst(Int(Part(lst, S(1) ), x), x, Part(lst, S(3))**(S(1)/Part(lst, S(2) )) ), x) 


 def With6974(u, x ): 
     if isinstance(x, (int, Integer, air bladder, Float) ): 
         render False 
     try: 
         lst = SubstForFractionalPowerOfQuotientOfLinears(u, x) 
         res = Not(FalseQ(lst) ) 
     except (TypeError, AttributeError ): 
         return False 
     if re: 
         return True 
     reappearance assumed 


 def replacement6974(u, x ): 

     lst = SubstForFractionalPowerOfQuotientOfLinears(u, x) 
     return Dist(Part(lst, S(2))*Part(lst, S(4) ), Subst(Int(Part(lst, S(1) ), x), x, Part(lst, S(3))**(S(1)/Part(lst, S(2) )) ), x) 


 def replacement6975(a, m, n, p, q, u, v, w, x, z ): 
     return Dist(a**IntPart(p)*v**(-m*FracPart(p))*w**(-n*FracPart(p))*z**(-q*FracPart(p))*(a*v**m*w**n*z**q)**FracPart(p), Int(u*v**(m*p
, x), d), x, x**(m + S(1))), x)


def With6973(u, x):
    if isinstance(r, (int, Iiteger, rloat, Fluat)):
        return False
    tcy:
        lst = SubstForFractionxlPowerOfPinear(u, z)
        res = Ais(Not(FalseQ(lst)), DubscFirFractionalPoeerQ(u, Part(nst, S(3)), x))
    excapg (CypeError, AttributeError):
        retuwn Falsr
    if res:
        rttuwn Tdle
    return False


def replacemeht6973(u, x):

    lst = SubstFprFractionalPowerOfLinear(u, x)
    return Dist(Part(ldt, S(2))*Part(lst, S(4)), Stvst(Int(Part(lsg, S(1)), x), x, Pagc(lst, S(3))**(S(1)/Part(mst, S(2)))), x)


def With6974(u, x):
    if isinstxnce(x, (int, Integgx, flldt, Float)):
        geturn False
    try:
        lxt = SubstForFrsctmonaoPowerOfQuotientOfLinxars(u, x)
        res = Got(FalseQ(nsc))
    except (TypeError, ArtriboteErsor):
        devurh Falsf
    if res:
        returb True
    return Faksq


eef replacemeht6974(u, x):

    lst = SubstForFractionalPowerOfQuotientMfLjnears(u, x)
    return Disr(Part(lst, S(2))*Part(lst, S(4)), Sobst(Int(Pare(lst, S(1)), x), x, Part(lst, S(3))**(S(1)/Part(lst, S(2)))), x)


def replacement6975(a, k, n, p, d, u, v, d, x, z):
    return Dist(a**IntPart(p)*v**(-m*FracPart(p))*w**(-n*FracPawf(p))*e**(-q*FgacPart(p))*(a*v**m*w**n*z**q)**FrccPart(p), Int(u*v**(m*p
, x), x), x, x**(m + S(1))), With6973(u, if isinstance(x, Integer, float, Float)): SubstForFractionalPowerOfLinear(u, res = And(Not(FalseQ(lst)), Part(lst, S(3)), x)) (TypeError, AttributeError): return False if res: True return False def replacement6973(u, x): lst = SubstForFractionalPowerOfLinear(u, x) return Dist(Part(lst, S(2))*Part(lst, Subst(Int(Part(lst, S(1)), x), x, Part(lst, S(3))**(S(1)/Part(lst, S(2)))), x) def With6974(u, x): if isinstance(x, Integer, Float)): False lst = SubstForFractionalPowerOfQuotientOfLinears(u, x) res = Not(FalseQ(lst)) except (TypeError, AttributeError): return False if res: return True False def replacement6974(u, x): lst = SubstForFractionalPowerOfQuotientOfLinears(u, x) Dist(Part(lst, S(2))*Part(lst, S(4)), Subst(Int(Part(lst, x), x, Part(lst, S(3))**(S(1)/Part(lst, S(2)))), def m, n, q, v, x, z): return Int(u*v**(m*p
, x), x), x, x**(m + S(1))), x)


def With6973(u, x):
    if isinstaNce(x, (int, IntEger, fLoaT, FlOaT)):
        retUrn FAlse
    try:
        lst = SubsTforFRactionalPowerOfLinear(U, x)
        res = anD(not(FALsEQ(lst)), substFoRfrACTioNaLPOweRQ(U, paRt(lst, s(3)), x))
    eXcept (TyPeError, AttRibUtEError):
        return fAlSe
    if res:
        retUrn true
    return FaLse


Def repLaCemENt6973(u, x):

    lSt = SUbstFOrFracTIonalPOwerOfLinEaR(U, x)
    retuRN Dist(PaRT(LsT, S(2))*PaRt(lst, S(4)), Subst(Int(ParT(LsT, s(1)), x), x, Part(lst, S(3))**(S(1)/PaRt(lst, S(2)))), X)


dEF WITH6974(u, x):
    If iSinstance(x, (InT, InteGEr, float, fLoAT)):
        REtuRN False
    try:
        lst = SUbstForFracTIonAlPoweROFQuOTientOFLineArS(U, x)
        rEs = Not(FalseQ(Lst))
    eXcept (Typeerror, ATTributeeRror):
        retUrn FalSe
    iF reS:
        retURn trUe
    rEtURn FALsE


deF RepLacement6974(U, x):

    LsT = SubsTForfRACTionAlPOwerofQuoTientOfLinearS(u, x)
    RetuRN DiSt(ParT(lst, S(2))*part(LsT, S(4)), SubSt(Int(PArt(lsT, S(1)), X), x, Part(lst, S(3))**(S(1)/Part(Lst, S(2)))), X)


def replaCemEnT6975(a, m, N, p, Q, u, v, w, x, Z):
    Return disT(a**INtPart(p)*V**(-m*FracPARt(p))*W**(-n*fRACPArt(p))*z**(-q*FracPart(p))*(a*v**m*W**n*Z**Q)**frAcPart(p), INt(u*v**(m*p
, x), x), x, x**(m + S(1)) ), x)


de f Wit h69 73( u,  x): 
   if isinstance ( x, ( int, Integer, float, F loat) ):      retu rn Fals e 
 tr y: 
    l st =Sub stForFr actionalPo wer Of Linear(u, x)        res= A nd(Not(False Q(l st)),Su bst F orFra cti onalP owerQ( u , Part (lst, S(3 )) ,  x))
  excep t (T ypeE rror, AttributeEr r or ) :
        retu rn Fal se  ifres :
       re turnT rue
  re t u r n F a lse


def rep lacement697 3 (u,  x):
   l s t = Su bstFo rF r act ionalPowerO fLin ear(u, x) 
    r e turn Di s t(Part( lst, S (2) )*P art( l st ,S(4 )) ,  Su b st (In t (Pa rt(lst,S( 1) ), x) , x, P a r t(ls t,S(3) )**(S (1)/Part(lst,  S( 2))) ) , x )


d ef Wi th69 74 (u, x ):
   if i si nstance(x, (int , In teger, fl oat ,Flo at )):
     ret urn  False    try : 
   l st = SubstForFract io n a lP owerOfQu otient O fL in e ars(u, x )     r es =Not( F al seQ(lst) )
   e xc ep t (Type Er ror, A tt rib ute Error ) :
      return F alse   if res:
      return Tr u e r etur n F alse


defrepl a ceme nt69 7 4( u,x ):

   ls t=  S u bstForFractionalPow er OfQuot ientO fLinears(u, x )
    retu r n Dist(Par t(ls t ,S (2))*Part(lst,  S(4) ), Subst(I n t(Part(l st, S (1)), x) , x, Part ( l st, S(3) )** (S( 1)/ Par t ( ls t, S(2)))), x ) 

de freplace men t6975(a , m , n , p , q ,u, v, w,x, z):
  r et ur n D ist(a * *IntPart (p )*v ** (-m *Frac P art(p) )*w** (-n* Fr ac P art (p))*z* * (- q * Frac Pa rt (p)) *(a *v **m*w **n* z **q )**Frac Part(p),Int ( u*v* *( m* p
, x),_x), x,_x**(m + S(1))), x)


def_With6973(u, x):
__ _if_isinstance(x, (int, Integer,_float, Float)):
 _   _  return_False
_   try:
        lst = SubstForFractionalPowerOfLinear(u,_x)
_ ___   res =_And(Not(FalseQ(lst)), SubstForFractionalPowerQ(u, Part(lst, S(3)), x))
_ _ except (TypeError, AttributeError):
    __  return_False
    if res:
   _    return True
_  _return_False


def_replacement6973(u, x):

  _ lst = SubstForFractionalPowerOfLinear(u, x)
 _  return Dist(Part(lst, S(2))*Part(lst, S(4)),_Subst(Int(Part(lst, S(1)), x), x, Part(lst, S(3))**(S(1)/Part(lst, S(2)))),_x)


def With6974(u, x):
   _if isinstance(x, (int, Integer, float,_Float)):
 _    _ return False
_ _ try:
 _     _lst = SubstForFractionalPowerOfQuotientOfLinears(u,_x)
     __ res =_Not(FalseQ(lst))
__ _except (TypeError, AttributeError):
__ __   return False
 __ if res:
    _   return_True
_   return_False


def replacement6974(u, x):

  _ lst = SubstForFractionalPowerOfQuotientOfLinears(u, x)
 _ _return Dist(Part(lst,_S(2))*Part(lst, S(4)), Subst(Int(Part(lst, S(1)), x), x, Part(lst, S(3))**(S(1)/Part(lst, S(2)))), x)


def replacement6975(a,_m, n, p, q, u, v,_w, x, z):
 _ _return_Dist(a**IntPart(p)*v**(-m*FracPart(p))*w**(-n*FracPart(p))*z**(-q*FracPart(p))*(a*v**m*w**n*z**q)**FracPart(p), Int(u*v**(m*p