数学
         
语言:中文    Language:English
求导函数:
    输入一个原函数(即需要求导的函数),然后设置需要求导的变量和求导的阶数,点击“下一步”按钮,即可获得该函数相应阶数的导函数。
    注意,输入的函数支持数学函数和其它常量。
    当前位置:求导函数 > 导函数计算历史 > 答案

    本次共计算 1 个题目:每一题对 x 求 5 阶导数。
    注意,变量是区分大小写的。
\[ \begin{equation}\begin{split}【1/1】求函数\frac{((2{x}^{2}) + ({x}^{52}))}{(3x + 137362x + {x}^{(13791 - {x}^{182})})} 关于 x 的 5 阶导数:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = \frac{2x^{2}}{(137365x + {x}^{(-x^{182} + 13791)})} + \frac{x^{52}}{(137365x + {x}^{(-x^{182} + 13791)})}\\\\ &\color{blue}{函数的 5 阶导数:} \\=&\frac{47925668743680x^{907}{x}^{(-2x^{182} + 27582)}ln^{5}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} + \frac{1316639251200x^{907}{x}^{(-2x^{182} + 27582)}ln^{4}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} - \frac{18157771913299200x^{725}{x}^{(-2x^{182} + 27582)}ln^{4}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} - \frac{180860150741088000x^{726}{x}^{(-2x^{182} + 27582)}ln^{4}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} + \frac{25516732016106240x^{725}{x}^{(-2x^{182} + 27582)}ln^{4}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} - \frac{67095936241152x^{907}{x}^{(-2x^{182} + 27582)}ln^{5}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} - \frac{1843294951680x^{907}{x}^{(-2x^{182} + 27582)}ln^{4}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} + \frac{561333952757760x^{725}{x}^{(-2x^{182} + 27582)}ln^{3}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} + \frac{14468563200x^{907}{x}^{(-2x^{182} + 27582)}ln^{3}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} - \frac{399071910182400x^{725}{x}^{(-2x^{182} + 27582)}ln^{3}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} - \frac{3974948367936000x^{726}{x}^{(-2x^{182} + 27582)}ln^{3}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} - \frac{20255988480x^{907}{x}^{(-2x^{182} + 27582)}ln^{3}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} + \frac{4630719300480x^{725}{x}^{(-2x^{182} + 27582)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} + \frac{2751800356662739200x^{543}{x}^{(-2x^{182} + 27582)}ln^{3}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} - \frac{521719278923278848x^{544}{x}^{(-2x^{182} + 27582)}ln^{3}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} - \frac{3874309825623793920x^{543}{x}^{(-2x^{182} + 27582)}ln^{3}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} - \frac{63981971445974400x^{543}{x}^{(-2x^{182} + 27582)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} - \frac{3691769824878954240x^{545}{x}^{(-2x^{182} + 27582)}ln^{3}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} + \frac{304289603197179648x^{544}{x}^{(-2x^{182} + 27582)}ln^{3}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} + \frac{180860150741088000x^{726}{x}^{(-2x^{182} + 27582)}ln^{4}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} + \frac{3974948367936000x^{726}{x}^{(-2x^{182} + 27582)}ln^{3}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} - \frac{908378351838921600x^{544}{x}^{(-2x^{182} + 27582)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} + \frac{2366326867757492640x^{543}{x}^{(-2x^{182} + 27582)}ln^{3}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} - \frac{15553920298163520x^{725}{x}^{(-2x^{182} + 27582)}ln^{4}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} - \frac{342502721783040x^{725}{x}^{(-2x^{182} + 27582)}ln^{3}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} + \frac{39155698216012560x^{543}{x}^{(-2x^{182} + 27582)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} + \frac{40736818432128x^{907}{x}^{(-2x^{182} + 27582)}ln^{5}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} + \frac{1119143363520x^{907}{x}^{(-2x^{182} + 27582)}ln^{4}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} + \frac{12298278720x^{907}{x}^{(-2x^{182} + 27582)}ln^{3}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} - \frac{2828250341280x^{725}{x}^{(-2x^{182} + 27582)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} + \frac{215968164823320x^{543}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} + \frac{79497600x^{907}{x}^{(-2x^{182} + 27582)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} - \frac{3289054204800x^{725}{x}^{(-2x^{182} + 27582)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} - \frac{32760563472000x^{726}{x}^{(-2x^{182} + 27582)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} - \frac{111296640x^{907}{x}^{(-2x^{182} + 27582)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} + \frac{16978241280x^{725}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} + \frac{45359346538396800x^{543}{x}^{(-2x^{182} + 27582)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} + \frac{903601861684704000x^{544}{x}^{(-2x^{182} + 27582)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} - \frac{352207104500160x^{543}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} + \frac{4500154801331280000x^{545}{x}^{(-2x^{182} + 27582)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} + \frac{32760563472000x^{726}{x}^{(-2x^{182} + 27582)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} - \frac{4997641957963200x^{544}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} + \frac{67572960x^{907}{x}^{(-2x^{182} + 27582)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} - \frac{10379765760x^{725}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} + \frac{5157856700196586000x^{361}{x}^{(-2x^{182} + 27582)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} - \frac{5602731226205021824x^{361}{x}^{(-2x^{182} + 27582)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} + \frac{4212859666952014208x^{362}{x}^{(-2x^{182} + 27582)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} - \frac{1573142513541056896x^{361}{x}^{(-2x^{182} + 27582)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} + \frac{3235168162338577920x^{361}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} - \frac{6787801200750843776x^{363}{x}^{(-2x^{182} + 27582)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} - \frac{8124879862879421440x^{362}{x}^{(-2x^{182} + 27582)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} - \frac{4773639381859857664x^{362}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} - \frac{1981844663635352880x^{361}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} + \frac{8034265944238390320x^{362}{x}^{(-2x^{182} + 27582)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} - \frac{5926581623281955984x^{362}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} - \frac{4456791621400849280x^{364}{x}^{(-2x^{182} + 27582)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} - \frac{8310396658436341248x^{363}{x}^{(-2x^{182} + 27582)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} + \frac{2215061894927372544x^{545}{x}^{(-2x^{182} + 27582)}ln^{3}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} - \frac{2700092880798768000x^{545}{x}^{(-2x^{182} + 27582)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} + \frac{6079206226837816448x^{363}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} + \frac{902807712856904384x^{544}{x}^{(-2x^{182} + 27582)}ln^{3}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} + \frac{319843019205309600x^{544}{x}^{(-2x^{182} + 27582)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} + \frac{1762293310923600x^{544}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} - \frac{63301052759380800x^{726}{x}^{(-2x^{182} + 27582)}ln^{4}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} - \frac{1391231928777600x^{726}{x}^{(-2x^{182} + 27582)}ln^{3}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} - \frac{2555650424105781232x^{179}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} - \frac{11466197215200x^{726}{x}^{(-2x^{182} + 27582)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} + \frac{2877836989017039232x^{180}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} - \frac{8815499647925977488x^{181}{x}^{(-x^{182} + 13791)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} - \frac{2241505968045402288x^{361}{x}^{(-2x^{182} + 27582)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{3}} - \frac{700720436229209760x^{543}{x}^{(-2x^{182} + 27582)}ln^{3}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{3}} - \frac{11620832764828560x^{543}{x}^{(-2x^{182} + 27582)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{3}} + \frac{588864445138613280x^{361}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{3}} + \frac{4595356258525760x^{725}{x}^{(-2x^{182} + 27582)}ln^{4}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{3}} + \frac{101304056672000x^{725}{x}^{(-2x^{182} + 27582)}ln^{3}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{3}} + \frac{837455542560x^{725}{x}^{(-2x^{182} + 27582)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{3}} - \frac{64239154750680x^{543}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{3}} - \frac{11981417185920x^{907}{x}^{(-2x^{182} + 27582)}ln^{5}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{3}} - \frac{329159812800x^{907}{x}^{(-2x^{182} + 27582)}ln^{4}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{3}} - \frac{3617140800x^{907}{x}^{(-2x^{182} + 27582)}ln^{3}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{3}} + \frac{3076877440x^{725}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{3}} - \frac{19874400x^{907}{x}^{(-2x^{182} + 27582)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{3}} - \frac{7255503445970923872x^{179}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{3}} - \frac{1742627163756019360x^{180}{x}^{(-x^{182} + 13791)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{3}} + \frac{8236624059696712664x^{411}{x}^{(-2x^{182} + 27582)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{3}} + \frac{295913074866412640x^{411}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{3}} + \frac{218400x^{907}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} - \frac{12047817600x^{725}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} - \frac{120002064000x^{726}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} - \frac{305760x^{907}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} + \frac{3018129679570571552x^{179}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} + \frac{249227178782400x^{543}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} + \frac{4964845393872000x^{544}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} + \frac{737925778671628096x^{180}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} + \frac{24726125282040000x^{545}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} + \frac{120002064000x^{726}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} + \frac{5480853599412337856x^{181}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} + \frac{185640x^{907}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} + \frac{1185668412396970320x^{593}{x}^{(-2x^{182} + 27582)}ln^{3}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} + \frac{19619194219814280x^{593}{x}^{(-2x^{182} + 27582)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} + \frac{108211551471660x^{593}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} - \frac{2291394681725385600x^{361}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} + \frac{5316793467949454464x^{362}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} + \frac{6109827478314917440x^{182}{x}^{(-x^{182} + 13791)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} + \frac{533543198026129792x^{363}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} + \frac{12764949204309120x^{775}{x}^{(-2x^{182} + 27582)}ln^{4}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} + \frac{2293730348682329000x^{411}{x}^{(-2x^{182} + 27582)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} - \frac{994064598424792440x^{411}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} + \frac{4613388154658448768x^{364}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} - \frac{14835675169224000x^{545}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} + \frac{280811662010880x^{775}{x}^{(-2x^{182} + 27582)}ln^{3}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} - \frac{42000722400x^{726}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} + \frac{611631448500455160x^{412}{x}^{(-2x^{182} + 27582)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} + \frac{6222576230138977816x^{412}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} - \frac{8311667159541561280x^{363}{x}^{(-x^{182} + 13791)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} + \frac{2116192938229843232x^{363}{x}^{(-x^{182} + 13791)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} - \frac{54600x^{907}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{3}} - \frac{4064365191890967696x^{362}{x}^{(-x^{182} + 13791)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{3}} + \frac{1186897935293361200x^{362}{x}^{(-x^{182} + 13791)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{3}} + \frac{8063234636306195680x^{229}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{3}} - \frac{351534956932220880x^{593}{x}^{(-2x^{182} + 27582)}ln^{3}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{3}} - \frac{5829834466190280x^{593}{x}^{(-2x^{182} + 27582)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{3}} - \frac{32226568259340x^{593}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{3}} + \frac{4949550371010110752x^{179}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} + \frac{636325501513720192x^{180}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} + \frac{2316552114240x^{775}{x}^{(-2x^{182} + 27582)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} - \frac{1939150272362808960x^{593}{x}^{(-2x^{182} + 27582)}ln^{3}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} + \frac{1078320715877566656x^{181}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} - \frac{32023876265035200x^{593}{x}^{(-2x^{182} + 27582)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} - \frac{9091101977095865984x^{594}{x}^{(-2x^{182} + 27582)}ln^{3}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} - \frac{7785189144401760x^{775}{x}^{(-2x^{182} + 27582)}ln^{4}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} - \frac{171432217931520x^{775}{x}^{(-2x^{182} + 27582)}ln^{3}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} + \frac{3892295393722889576x^{229}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} - \frac{454516781554180800x^{594}{x}^{(-2x^{182} + 27582)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} - \frac{1415615750640x^{775}{x}^{(-2x^{182} + 27582)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} - \frac{7829673752481938816x^{230}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} - \frac{415730670423435904x^{182}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} + \frac{8493488640x^{775}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} - \frac{176284269514080x^{593}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} - \frac{2500621009941600x^{594}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} - \frac{5195342880x^{775}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} + \frac{6769398841928436920x^{231}{x}^{(-x^{182} + 13791)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} - \frac{559774524078544448x^{411}{x}^{(-2x^{182} + 27582)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} + \frac{455569376983809280x^{412}{x}^{(-2x^{182} + 27582)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} + \frac{7008446863007883552x^{230}{x}^{(-x^{182} + 13791)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{3}} - \frac{931761022013931200x^{544}{x}^{(-x^{182} + 13791)}ln^{3}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{3}} - \frac{15458071874263200x^{544}{x}^{(-x^{182} + 13791)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{3}} - \frac{85480470238800x^{544}{x}^{(-x^{182} + 13791)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{3}} - \frac{101168396271322240x^{413}{x}^{(-2x^{182} + 27582)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} - \frac{8757062124046563616x^{594}{x}^{(-2x^{182} + 27582)}ln^{3}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} + \frac{160167213828694800x^{594}{x}^{(-2x^{182} + 27582)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} - \frac{1650016972809823848x^{412}{x}^{(-x^{182} + 13791)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{3}} + \frac{597675890348500600x^{412}{x}^{(-x^{182} + 13791)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{3}} + \frac{2301518327078880x^{775}{x}^{(-2x^{182} + 27582)}ln^{4}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{3}} + \frac{50736428288000x^{775}{x}^{(-2x^{182} + 27582)}ln^{3}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{3}} + \frac{419423375280x^{775}{x}^{(-2x^{182} + 27582)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{3}} + \frac{1540986720x^{775}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{3}} + \frac{4957196908457687840x^{183}{x}^{(-x^{182} + 13791)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} + \frac{891358324280169856x^{364}{x}^{(-x^{182} + 13791)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} - \frac{8301375260415510400x^{364}{x}^{(-x^{182} + 13791)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} + \frac{1620076352957112960x^{411}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} - \frac{2337171236991208832x^{412}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} - \frac{4796274509671335616x^{545}{x}^{(-x^{182} + 13791)}ln^{3}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} + \frac{225007740066564000x^{545}{x}^{(-x^{182} + 13791)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} + \frac{882496678681800x^{594}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} + \frac{1236306264102000x^{545}{x}^{(-x^{182} + 13791)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} + \frac{8665716992274670976x^{413}{x}^{(-x^{182} + 13791)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} + \frac{3286864366239308224x^{413}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} + \frac{996281155909821616x^{413}{x}^{(-x^{182} + 13791)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} - \frac{467536739493605600x^{594}{x}^{(-x^{182} + 13791)}ln^{3}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{3}} - \frac{7756336406691600x^{594}{x}^{(-x^{182} + 13791)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{3}} + \frac{3014335845684800x^{726}{x}^{(-x^{182} + 13791)}ln^{4}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{3}} + \frac{66249139465600x^{726}{x}^{(-x^{182} + 13791)}ln^{3}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{3}} - \frac{42890237699400x^{594}{x}^{(-x^{182} + 13791)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{3}} + \frac{546009391200x^{726}{x}^{(-x^{182} + 13791)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{3}} + \frac{2000034400x^{726}{x}^{(-x^{182} + 13791)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{3}} + \frac{8498835504867909392x^{229}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} - \frac{717185881481241056x^{230}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} - \frac{3815229247017957920x^{231}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} - \frac{6191619546966519184x^{179}{x}^{(-x^{182} + 13791)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{2}} - \frac{1807501156076605080x^{361}{x}^{(-x^{182} + 13791)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{2}} - \frac{20252382965592960x^{361}{x}^{(-x^{182} + 13791)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{2}} + \frac{23849542688557040x^{543}{x}^{(-x^{182} + 13791)}ln^{3}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{2}} + \frac{398222448846040x^{543}{x}^{(-x^{182} + 13791)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{2}} + \frac{2216227932100x^{543}{x}^{(-x^{182} + 13791)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{2}} - \frac{155308571672800x^{725}{x}^{(-x^{182} + 13791)}ln^{4}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{2}} - \frac{3435319189120x^{725}{x}^{(-x^{182} + 13791)}ln^{3}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{2}} - \frac{28493927280x^{725}{x}^{(-x^{182} + 13791)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{2}} - \frac{105035840x^{725}{x}^{(-x^{182} + 13791)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{2}} - \frac{2606265756971800592x^{229}{x}^{(-x^{182} + 13791)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{2}} + \frac{399380572864x^{907}{x}^{(-x^{182} + 13791)}ln^{5}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{2}} + \frac{10971993760x^{907}{x}^{(-x^{182} + 13791)}ln^{4}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{2}} + \frac{120571360x^{907}{x}^{(-x^{182} + 13791)}ln^{3}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{2}} - \frac{913486536447297540x^{411}{x}^{(-x^{182} + 13791)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{2}} - \frac{10234574060281480x^{411}{x}^{(-x^{182} + 13791)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{2}} + \frac{12009707838830520x^{593}{x}^{(-x^{182} + 13791)}ln^{3}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{2}} + \frac{662480x^{907}{x}^{(-x^{182} + 13791)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{2}} + \frac{200520319383020x^{593}{x}^{(-x^{182} + 13791)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{2}} + \frac{1115905932050x^{593}{x}^{(-x^{182} + 13791)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{2}} - \frac{77928585680400x^{775}{x}^{(-x^{182} + 13791)}ln^{4}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{2}} - \frac{1723688162560x^{775}{x}^{(-x^{182} + 13791)}ln^{3}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{2}} - \frac{14296649640x^{775}{x}^{(-x^{182} + 13791)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{2}} - \frac{52699920x^{775}{x}^{(-x^{182} + 13791)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{2}} + \frac{1820x^{907}{x}^{(-x^{182} + 13791)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{2}} + \frac{7675110438740150944x^{232}{x}^{(-x^{182} + 13791)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} + \frac{23962834371840x^{957}{x}^{(-2x^{182} + 27582)}ln^{5}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} + \frac{658319625600x^{957}{x}^{(-2x^{182} + 27582)}ln^{4}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} - \frac{9078885956649600x^{775}{x}^{(-2x^{182} + 27582)}ln^{4}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} - \frac{90430075370544000x^{776}{x}^{(-2x^{182} + 27582)}ln^{4}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} - \frac{33547968120576x^{957}{x}^{(-2x^{182} + 27582)}ln^{5}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} - \frac{921647475840x^{957}{x}^{(-2x^{182} + 27582)}ln^{4}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} + \frac{7234281600x^{957}{x}^{(-2x^{182} + 27582)}ln^{3}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} - \frac{199535955091200x^{775}{x}^{(-2x^{182} + 27582)}ln^{3}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} - \frac{1987474183968000x^{776}{x}^{(-2x^{182} + 27582)}ln^{3}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} - \frac{10127994240x^{957}{x}^{(-2x^{182} + 27582)}ln^{3}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} + \frac{1375900178331369600x^{593}{x}^{(-2x^{182} + 27582)}ln^{3}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} + \frac{8962512397393136384x^{594}{x}^{(-2x^{182} + 27582)}ln^{3}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} + \frac{7377487124415298688x^{595}{x}^{(-2x^{182} + 27582)}ln^{3}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} + \frac{90430075370544000x^{776}{x}^{(-2x^{182} + 27582)}ln^{4}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} + \frac{1987474183968000x^{776}{x}^{(-2x^{182} + 27582)}ln^{3}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} + \frac{20368409216064x^{957}{x}^{(-2x^{182} + 27582)}ln^{5}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} + \frac{559571681760x^{957}{x}^{(-2x^{182} + 27582)}ln^{4}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} + \frac{6149139360x^{957}{x}^{(-2x^{182} + 27582)}ln^{3}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} + \frac{39748800x^{957}{x}^{(-2x^{182} + 27582)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} - \frac{1644527102400x^{775}{x}^{(-2x^{182} + 27582)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} - \frac{16380281736000x^{776}{x}^{(-2x^{182} + 27582)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} - \frac{55648320x^{957}{x}^{(-2x^{182} + 27582)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} + \frac{22679673269198400x^{593}{x}^{(-2x^{182} + 27582)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} + \frac{451800930842352000x^{594}{x}^{(-2x^{182} + 27582)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} + \frac{2250077400665640000x^{595}{x}^{(-2x^{182} + 27582)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} + \frac{16380281736000x^{776}{x}^{(-2x^{182} + 27582)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} + \frac{33786480x^{957}{x}^{(-2x^{182} + 27582)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} + \frac{6422006423752264896x^{411}{x}^{(-2x^{182} + 27582)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} + \frac{2106429833476007104x^{412}{x}^{(-2x^{182} + 27582)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} - \frac{3393900600375421888x^{413}{x}^{(-2x^{182} + 27582)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} - \frac{2228395810700424640x^{414}{x}^{(-2x^{182} + 27582)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} - \frac{8115841089391089536x^{595}{x}^{(-2x^{182} + 27582)}ln^{3}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} - \frac{1350046440399384000x^{595}{x}^{(-2x^{182} + 27582)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} - \frac{31650526379690400x^{776}{x}^{(-2x^{182} + 27582)}ln^{4}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} - \frac{695615964388800x^{776}{x}^{(-2x^{182} + 27582)}ln^{3}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} - \frac{5733098607600x^{776}{x}^{(-2x^{182} + 27582)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} - \frac{5990708592960x^{957}{x}^{(-2x^{182} + 27582)}ln^{5}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{3}} - \frac{164579906400x^{957}{x}^{(-2x^{182} + 27582)}ln^{4}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{3}} - \frac{1808570400x^{957}{x}^{(-2x^{182} + 27582)}ln^{3}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{3}} - \frac{9937200x^{957}{x}^{(-2x^{182} + 27582)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{3}} + \frac{109200x^{957}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} - \frac{6023908800x^{775}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} - \frac{60001032000x^{776}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} - \frac{152880x^{957}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} + \frac{124613589391200x^{593}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} + \frac{2482422696936000x^{594}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} + \frac{12363062641020000x^{595}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} + \frac{60001032000x^{776}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} + \frac{92820x^{957}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} - \frac{1145697340862692800x^{411}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} + \frac{2658396733974727232x^{412}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} - \frac{8956600437841710912x^{413}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} - \frac{6916677959525551424x^{414}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} - \frac{7417837584612000x^{595}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} - \frac{21000361200x^{776}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} - \frac{27300x^{957}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{3}} + \frac{2474775185505055376x^{229}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} - \frac{8905209286097915712x^{230}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} + \frac{539160357938783328x^{231}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} - \frac{207865335211717952x^{232}{x}^{(-2x^{182} + 27582)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} - \frac{6744773582625931888x^{233}{x}^{(-x^{182} + 13791)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} + \frac{445679162140084928x^{414}{x}^{(-x^{182} + 13791)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} + \frac{5072684406647020608x^{414}{x}^{(-x^{182} + 13791)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} + \frac{6825234782019108000x^{595}{x}^{(-x^{182} + 13791)}ln^{3}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} + \frac{112503870033282000x^{595}{x}^{(-x^{182} + 13791)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} + \frac{618153132051000x^{595}{x}^{(-x^{182} + 13791)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} + \frac{1507167922842400x^{776}{x}^{(-x^{182} + 13791)}ln^{4}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{3}} + \frac{33124569732800x^{776}{x}^{(-x^{182} + 13791)}ln^{3}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{3}} + \frac{273004695600x^{776}{x}^{(-x^{182} + 13791)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{3}} + \frac{1000017200x^{776}{x}^{(-x^{182} + 13791)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{3}} + \frac{199690286432x^{957}{x}^{(-x^{182} + 13791)}ln^{5}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{2}} + \frac{5485996880x^{957}{x}^{(-x^{182} + 13791)}ln^{4}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{2}} + \frac{60285680x^{957}{x}^{(-x^{182} + 13791)}ln^{3}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{2}} + \frac{331240x^{957}{x}^{(-x^{182} + 13791)}ln^{2}(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{2}} + \frac{910x^{957}{x}^{(-x^{182} + 13791)}ln(x)}{(137365x + {x}^{(-x^{182} + 13791)})^{2}} + \frac{1620794360700x^{594}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} + \frac{6910033337311577032x^{180}{x}^{(-x^{182} + 13791)}}{(137365x + {x}^{(-x^{182} + 13791)})^{3}} + \frac{6904367709724579872x^{180}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} + \frac{2123110x^{775}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{3}} + \frac{820377459201330x^{411}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{3}} + \frac{190093563970646400x^{362}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} - \frac{9165190605600x^{544}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} + \frac{6216182837753621432x^{229}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} + \frac{1134086831892072000x^{363}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} + \frac{4239220x^{725}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{3}} + \frac{2272752812063814368x^{181}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} - \frac{6468121823172832048x^{230}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} + \frac{1663184346663350x^{412}{x}^{(-x^{182} + 13791)}}{(137365x + {x}^{(-x^{182} + 13791)})^{3}} + \frac{198948489150x^{593}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} + \frac{8912747339687520x^{361}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} + \frac{846966976191258800x^{231}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} + \frac{3293509871418523516x^{230}{x}^{(-x^{182} + 13791)}}{(137365x + {x}^{(-x^{182} + 13791)})^{3}} + \frac{23343600x^{725}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} - \frac{5888477591514100752x^{179}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} + \frac{3236643581400x^{544}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} - \frac{376750039235183840x^{182}{x}^{(-x^{182} + 13791)}}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} + \frac{3904953109573116324x^{231}{x}^{(-x^{182} + 13791)}}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} + \frac{11677800x^{775}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} + \frac{2168192619914838736x^{232}{x}^{(-x^{182} + 13791)}}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} - \frac{157557655000x^{544}{x}^{(-x^{182} + 13791)}}{(137365x + {x}^{(-x^{182} + 13791)})^{3}} - \frac{5476055681998620x^{361}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} - \frac{96160172937516000x^{363}{x}^{(-x^{182} + 13791)}}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} - \frac{323467353360x^{593}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} - \frac{646272738720x^{543}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} - \frac{33770652670784850x^{412}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} + \frac{368377402454804324x^{229}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} - \frac{145190x^{725}{x}^{(-x^{182} + 13791)}}{(137365x + {x}^{(-x^{182} + 13791)})^{2}} - \frac{48249908757783000x^{413}{x}^{(-x^{182} + 13791)}}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} - \frac{9174145688824304096x^{180}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} - \frac{4585892062800x^{594}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} - \frac{59380259310x^{593}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{3}} - \frac{5598166595604571740x^{229}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{3}} + \frac{4110991370x^{543}{x}^{(-x^{182} + 13791)}}{(137365x + {x}^{(-x^{182} + 13791)})^{2}} - \frac{118367518620x^{543}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{3}} - \frac{7150110x^{775}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} - \frac{2746683031226310x^{411}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} + \frac{3302993840736700x^{362}{x}^{(-x^{182} + 13791)}}{(137365x + {x}^{(-x^{182} + 13791)})^{3}} + \frac{1632572829463660x^{361}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{3}} + \frac{4463220570359760x^{411}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} - \frac{79053557500x^{594}{x}^{(-x^{182} + 13791)}}{(137365x + {x}^{(-x^{182} + 13791)})^{3}} + \frac{2069857685x^{593}{x}^{(-x^{182} + 13791)}}{(137365x + {x}^{(-x^{182} + 13791)})^{2}} - \frac{1699462677097667352x^{181}{x}^{(-x^{182} + 13791)}}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} - \frac{56723055052850x^{361}{x}^{(-x^{182} + 13791)}}{(137365x + {x}^{(-x^{182} + 13791)})^{2}} + \frac{95183178836803200x^{412}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} + \frac{577961488142536648x^{179}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} - \frac{28663136438175x^{411}{x}^{(-x^{182} + 13791)}}{(137365x + {x}^{(-x^{182} + 13791)})^{2}} + \frac{397062666300x^{543}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} - \frac{14285220x^{725}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} + \frac{193345350978491274x^{229}{x}^{(-x^{182} + 13791)}}{(137365x + {x}^{(-x^{182} + 13791)})^{2}} - \frac{4346250274580925872x^{230}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} + \frac{567722705102136000x^{413}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} + \frac{381205036165492548x^{179}{x}^{(-x^{182} + 13791)}}{(137365x + {x}^{(-x^{182} + 13791)})^{2}} - \frac{67334783932319700x^{362}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} + \frac{7325277453703470136x^{179}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{3}} - \frac{72845x^{775}{x}^{(-x^{182} + 13791)}}{(137365x + {x}^{(-x^{182} + 13791)})^{2}} - \frac{16549200x^{725}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} + \frac{456460034400x^{543}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} + \frac{9093123432000x^{544}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} - \frac{6295040334410400x^{361}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} - \frac{188104897876068000x^{362}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} - \frac{1873615350355020000x^{363}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} + \frac{6513962478507809968x^{179}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} - \frac{4557511856128659904x^{180}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} - \frac{4859150521000994016x^{181}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} + \frac{6281771439008619584x^{182}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} - \frac{7061278056622000400{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{6}x^{3}} + \frac{5758923203903982992{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{6}x^{2}} - \frac{8560954794438751056{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{5}x^{3}} - \frac{1492128220697515424{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{6}x} + \frac{1164023239966971664{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{5}x^{2}} + \frac{3221443064734435728{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{4}x^{3}} + \frac{6223499422945628704{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} + \frac{6176826160021472176x{x}^{(-x^{182} + 13791)}}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} + \frac{2484505954484415296{x}^{(-x^{182} + 13791)}}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} - \frac{3765901986523599872{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{5}x} + \frac{2359004051391677440{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{4}x^{2}} - \frac{7458209898707635968{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{3}x^{3}} + \frac{240x^{907}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} - \frac{164838000x^{726}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} - \frac{336x^{907}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} + \frac{45285943740000x^{545}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} + \frac{164838000x^{726}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} + \frac{204x^{907}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} - \frac{6220703661845100000x^{364}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} - \frac{27171566244000x^{545}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} - \frac{57693300x^{726}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} - \frac{60x^{907}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{3}} + \frac{8439763489155771824x^{183}{x}^{(-x^{182} + 13791)}}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} + \frac{1244140732369020000x^{364}{x}^{(-x^{182} + 13791)}}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} + \frac{2264297187000x^{545}{x}^{(-x^{182} + 13791)}}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} + \frac{2747300x^{726}{x}^{(-x^{182} + 13791)}}{(137365x + {x}^{(-x^{182} + 13791)})^{3}} + \frac{2x^{907}{x}^{(-x^{182} + 13791)}}{(137365x + {x}^{(-x^{182} + 13791)})^{2}} + \frac{120x^{957}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} - \frac{8274600x^{775}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} - \frac{82419000x^{776}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} - \frac{168x^{957}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} + \frac{228230017200x^{593}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} + \frac{4546561716000x^{594}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} + \frac{22642971870000x^{595}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} + \frac{82419000x^{776}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} + \frac{102x^{957}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} - \frac{3147520167205200x^{411}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} - \frac{94052448938034000x^{412}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} - \frac{936807675177510000x^{413}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} - \frac{3110351830922550000x^{414}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} - \frac{13585783122000x^{595}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} - \frac{28846650x^{776}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} - \frac{30x^{957}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{3}} + \frac{3256981239253904984x^{229}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} - \frac{2278755928064329952x^{230}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} + \frac{6793796776354278800x^{231}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} - \frac{6082486317350466016x^{232}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} - \frac{5003490292276889896x^{233}{x}^{(-x^{182} + 13791)}}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} + \frac{622070366184510000x^{414}{x}^{(-x^{182} + 13791)}}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} + \frac{1132148593500x^{595}{x}^{(-x^{182} + 13791)}}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} + \frac{1373650x^{776}{x}^{(-x^{182} + 13791)}}{(137365x + {x}^{(-x^{182} + 13791)})^{3}} + \frac{x^{957}{x}^{(-x^{182} + 13791)}}{(137365x + {x}^{(-x^{182} + 13791)})^{2}} - \frac{3530639028311000200x^{47}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} - \frac{6343910434902784312x^{48}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} + \frac{619218884755346888x^{47}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} - \frac{746064110348757712x^{49}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} - \frac{3758803586950262072x^{48}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} - \frac{2601495831788141204x^{47}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} + \frac{3111749711472814352x^{50}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} - \frac{7731959524557218400x^{49}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} - \frac{2944887790275797448x^{48}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} + \frac{3366038111969888512x^{47}{x}^{(-2x^{182} + 27582)}}{(137365x + {x}^{(-x^{182} + 13791)})^{3}} - \frac{6134958956844039720x^{51}{x}^{(-x^{182} + 13791)}}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} + \frac{4980994061720978144x^{50}{x}^{(-x^{182} + 13791)}}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} - \frac{3594140739037861448x^{49}{x}^{(-x^{182} + 13791)}}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} + \frac{5730126936379259472x^{48}{x}^{(-x^{182} + 13791)}}{(137365x + {x}^{(-x^{182} + 13791)})^{3}} + \frac{8539690615442411488x^{47}{x}^{(-x^{182} + 13791)}}{(137365x + {x}^{(-x^{182} + 13791)})^{2}} - \frac{6350463155795003136{x}^{(-x^{182} + 13791)}}{(137365x + {x}^{(-x^{182} + 13791)})^{4}x} + \frac{1095299029999924992{x}^{(-x^{182} + 13791)}}{(137365x + {x}^{(-x^{182} + 13791)})^{3}x^{2}} - \frac{1596046427279696256{x}^{(-x^{182} + 13791)}}{(137365x + {x}^{(-x^{182} + 13791)})^{2}x^{3}} - \frac{8496075121165059248x^{2}}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} - \frac{7692141048563422240x}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} - \frac{6604283158719994448x^{50}}{(137365x + {x}^{(-x^{182} + 13791)})^{4}} + \frac{50040967832700000x^{49}}{(137365x + {x}^{(-x^{182} + 13791)})^{3}} - \frac{4462576755000x^{48}}{(137365x + {x}^{(-x^{182} + 13791)})^{2}} - \frac{7764113262776731040x^{51}}{(137365x + {x}^{(-x^{182} + 13791)})^{5}} - \frac{4248037560582529624x^{52}}{(137365x + {x}^{(-x^{182} + 13791)})^{6}} + \frac{311875200x^{47}}{(137365x + {x}^{(-x^{182} + 13791)})} - \frac{622070366184510000}{(137365x + {x}^{(-x^{182} + 13791)})^{4}}\\ \end{split}\end{equation} \]



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