Сократим дробь (5*x^712-2*x^36+7*x^25+5)/(x+1)

Вы ввели

   712      36      25    
5*x    - 2*x   + 7*x   + 5
--------------------------
          x + 1           

$$\frac{1}{x + 1} \left(7 x^{25} + 5 x^{712} - 2 x^{36} + 5\right)$$

Степени

       36      712      25
5 - 2*x   + 5*x    + 7*x  
--------------------------
          1 + x           

$$\frac{1}{x + 1} \left(5 x^{712} - 2 x^{36} + 7 x^{25} + 5\right)$$

Численный ответ

(5.0 + 5.0*x^712 + 7.0*x^25 - 2.0*x^36)/(1.0 + x)

Рациональный знаменатель

       36      712      25
5 - 2*x   + 5*x    + 7*x  
--------------------------
          1 + x           

$$\frac{1}{x + 1} \left(5 x^{712} - 2 x^{36} + 7 x^{25} + 5\right)$$

Объединение рациональных выражений

     25 /     11 /        676\\
5 + x  *\7 + x  *\-2 + 5*x   //
-------------------------------
             1 + x             

$$\frac{1}{x + 1} \left(x^{25} \left(x^{11} \left(5 x^{676} - 2\right) + 7\right) + 5\right)$$

Общее упрощение

       36      712      25
5 - 2*x   + 5*x    + 7*x  
--------------------------
          1 + x           

$$\frac{1}{x + 1} \left(5 x^{712} - 2 x^{36} + 7 x^{25} + 5\right)$$

Собрать выражение

       712      25      36
5 + 5*x    + 7*x   - 2*x  
--------------------------
          1 + x           

$$\frac{1}{x + 1} \left(5 x^{712} - 2 x^{36} + 7 x^{25} + 5\right)$$

Общий знаменатель

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484      486      488      490      492      494      496      498      500      502      504      506      508      510      512      514      516      518      520      522      524      526      528      530      532      534      536      538      540      542      544      546      548      550      552      554      556      558      560      562      564      566      568      570      572      574      576      578      580      582      584      586      588      590      592      594      596      598      600      602      604      606      608      610      612      614      616      618      620      622      624      626      628      630      632      634      636      638      640      642      644      646      648      650      652      654      656      658      660      662      664      666      668      670      672      674      676      678      680      682      684      686      688      690      692      694      696      698      700      702      704      706      708      710            3      5      7      9      11      13      15      17      19      21      23      26      28      30      32      34      25      27      29      31      33      35      2      4      6      8      10      12      14      16      18      20      22      24      37      39      41      43      45      47      49      51      53      55      57      59      61      63      65      67      69      71      73      75      77      79      81      83      85      87      89      91      93      95      97      99      101      103      105      107      109      111      113      115      117      119      121      123      125      127      129      131      133      135      137      139      141      143      145      147      149      151      153      155      157      159      161      163      165      167      169      171      173      175      177      179      181      183      185      187      189      191      193      195      197      199      201      203      205      207      209      211      213      215      217      219      221      223      225      227      229      231      233      235      237      239      241      243      245      247      249      251      253      255      257      259      261      263      265      267      269      271      273      275      277      279      281      283      285      287      289      291      293      295      297      299      301      303      305      307      309      311      313      315      317      319      321      323      325      327      329      331      333      335      337      339      341      343      345      347      349      351      353      355      357      359      361      363      365      367      369      371      373      375      377      379      381      383      385      387      389      391      393      395      397      399      401      403      405      407      409      411      413      415      417      419      421      423      425      427      429      431      433      435      437      439      441      443      445      447      449      451      453      455      457      459      461      463      465      467      469      471      473      475      477      479      481      483      485      487      489      491      493      495      497      499      501      503      505      507      509      511      513      515      517      519      521      523      525      527      529      531      533      535      537      539      541      543      545      547      549      551      553      555      557      559      561      563      565      567      569      571      573      575      577      579      581      583      585      587      589      591      593      595      597      599      601      603      605      607      609      611      613      615      617      619      621      623      625      627      629      631      633      635      637      639      641      643      645      647      649      651      653      655      657      659      661      663      665      667      669      671      673      675      677      679      681      683      685      687      689      691      693      695      697      699      701      703      705      707      709      711
4 + ----- - 5*x   - 5*x   - 5*x   - 5*x   - 5*x   - 5*x   - 5*x   - 5*x   - 5*x   - 5*x   - 5*x   - 5*x   - 5*x   - 5*x   - 5*x   - 5*x   - 5*x   - 5*x   - 5*x   - 5*x   - 5*x   - 5*x   - 5*x   - 5*x   - 5*x   - 5*x   - 5*x   - 5*x   - 5*x   - 5*x   - 5*x   - 5*x   - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 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5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 5*x    - 4*x - 4*x  - 4*x  - 4*x  - 4*x  - 4*x   - 4*x   - 4*x   - 4*x   - 4*x   - 4*x   - 4*x   - 3*x   - 3*x   - 3*x   - 3*x   - 3*x   + 3*x   + 3*x   + 3*x   + 3*x   + 3*x   + 3*x   + 4*x  + 4*x  + 4*x  + 4*x  + 4*x   + 4*x   + 4*x   + 4*x   + 4*x   + 4*x   + 4*x   + 4*x   + 5*x   + 5*x   + 5*x   + 5*x   + 5*x   + 5*x   + 5*x   + 5*x   + 5*x   + 5*x   + 5*x   + 5*x   + 5*x   + 5*x   + 5*x   + 5*x   + 5*x   + 5*x   + 5*x   + 5*x   + 5*x   + 5*x   + 5*x   + 5*x   + 5*x   + 5*x   + 5*x   + 5*x   + 5*x   + 5*x   + 5*x   + 5*x   + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x    + 5*x   
    1 + x                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  

$$5 x^{711} - 5 x^{710} + 5 x^{709} - 5 x^{708} + 5 x^{707} - 5 x^{706} + 5 x^{705} - 5 x^{704} + 5 x^{703} - 5 x^{702} + 5 x^{701} - 5 x^{700} + 5 x^{699} - 5 x^{698} + 5 x^{697} - 5 x^{696} + 5 x^{695} - 5 x^{694} + 5 x^{693} - 5 x^{692} + 5 x^{691} - 5 x^{690} + 5 x^{689} - 5 x^{688} + 5 x^{687} - 5 x^{686} + 5 x^{685} - 5 x^{684} + 5 x^{683} - 5 x^{682} + 5 x^{681} - 5 x^{680} + 5 x^{679} - 5 x^{678} + 5 x^{677} - 5 x^{676} + 5 x^{675} - 5 x^{674} + 5 x^{673} - 5 x^{672} + 5 x^{671} - 5 x^{670} + 5 x^{669} - 5 x^{668} + 5 x^{667} - 5 x^{666} + 5 x^{665} - 5 x^{664} + 5 x^{663} - 5 x^{662} + 5 x^{661} - 5 x^{660} + 5 x^{659} - 5 x^{658} + 5 x^{657} - 5 x^{656} + 5 x^{655} - 5 x^{654} + 5 x^{653} - 5 x^{652} + 5 x^{651} - 5 x^{650} + 5 x^{649} - 5 x^{648} + 5 x^{647} - 5 x^{646} + 5 x^{645} - 5 x^{644} + 5 x^{643} - 5 x^{642} + 5 x^{641} - 5 x^{640} + 5 x^{639} - 5 x^{638} + 5 x^{637} - 5 x^{636} + 5 x^{635} - 5 x^{634} + 5 x^{633} - 5 x^{632} + 5 x^{631} - 5 x^{630} + 5 x^{629} - 5 x^{628} + 5 x^{627} - 5 x^{626} + 5 x^{625} - 5 x^{624} + 5 x^{623} - 5 x^{622} + 5 x^{621} - 5 x^{620} + 5 x^{619} - 5 x^{618} + 5 x^{617} - 5 x^{616} + 5 x^{615} - 5 x^{614} + 5 x^{613} - 5 x^{612} + 5 x^{611} - 5 x^{610} + 5 x^{609} - 5 x^{608} + 5 x^{607} - 5 x^{606} + 5 x^{605} - 5 x^{604} + 5 x^{603} - 5 x^{602} + 5 x^{601} - 5 x^{600} + 5 x^{599} - 5 x^{598} + 5 x^{597} - 5 x^{596} + 5 x^{595} - 5 x^{594} + 5 x^{593} - 5 x^{592} + 5 x^{591} - 5 x^{590} + 5 x^{589} - 5 x^{588} + 5 x^{587} - 5 x^{586} + 5 x^{585} - 5 x^{584} + 5 x^{583} - 5 x^{582} + 5 x^{581} - 5 x^{580} + 5 x^{579} - 5 x^{578} + 5 x^{577} - 5 x^{576} + 5 x^{575} - 5 x^{574} + 5 x^{573} - 5 x^{572} + 5 x^{571} - 5 x^{570} + 5 x^{569} - 5 x^{568} + 5 x^{567} - 5 x^{566} + 5 x^{565} - 5 x^{564} + 5 x^{563} - 5 x^{562} + 5 x^{561} - 5 x^{560} + 5 x^{559} - 5 x^{558} + 5 x^{557} - 5 x^{556} + 5 x^{555} - 5 x^{554} + 5 x^{553} - 5 x^{552} + 5 x^{551} - 5 x^{550} + 5 x^{549} - 5 x^{548} + 5 x^{547} - 5 x^{546} + 5 x^{545} - 5 x^{544} + 5 x^{543} - 5 x^{542} + 5 x^{541} - 5 x^{540} + 5 x^{539} - 5 x^{538} + 5 x^{537} - 5 x^{536} + 5 x^{535} - 5 x^{534} + 5 x^{533} - 5 x^{532} + 5 x^{531} - 5 x^{530} + 5 x^{529} - 5 x^{528} + 5 x^{527} - 5 x^{526} + 5 x^{525} - 5 x^{524} + 5 x^{523} - 5 x^{522} + 5 x^{521} - 5 x^{520} + 5 x^{519} - 5 x^{518} + 5 x^{517} - 5 x^{516} + 5 x^{515} - 5 x^{514} + 5 x^{513} - 5 x^{512} + 5 x^{511} - 5 x^{510} + 5 x^{509} - 5 x^{508} + 5 x^{507} - 5 x^{506} + 5 x^{505} - 5 x^{504} + 5 x^{503} - 5 x^{502} + 5 x^{501} - 5 x^{500} + 5 x^{499} - 5 x^{498} + 5 x^{497} - 5 x^{496} + 5 x^{495} - 5 x^{494} + 5 x^{493} - 5 x^{492} + 5 x^{491} - 5 x^{490} + 5 x^{489} - 5 x^{488} + 5 x^{487} - 5 x^{486} + 5 x^{485} - 5 x^{484} + 5 x^{483} - 5 x^{482} + 5 x^{481} - 5 x^{480} + 5 x^{479} - 5 x^{478} + 5 x^{477} - 5 x^{476} + 5 x^{475} - 5 x^{474} + 5 x^{473} - 5 x^{472} + 5 x^{471} - 5 x^{470} + 5 x^{469} - 5 x^{468} + 5 x^{467} - 5 x^{466} + 5 x^{465} - 5 x^{464} + 5 x^{463} - 5 x^{462} + 5 x^{461} - 5 x^{460} + 5 x^{459} - 5 x^{458} + 5 x^{457} - 5 x^{456} + 5 x^{455} - 5 x^{454} + 5 x^{453} - 5 x^{452} + 5 x^{451} - 5 x^{450} + 5 x^{449} - 5 x^{448} + 5 x^{447} - 5 x^{446} + 5 x^{445} - 5 x^{444} + 5 x^{443} - 5 x^{442} + 5 x^{441} - 5 x^{440} + 5 x^{439} - 5 x^{438} + 5 x^{437} - 5 x^{436} + 5 x^{435} - 5 x^{434} + 5 x^{433} - 5 x^{432} + 5 x^{431} - 5 x^{430} + 5 x^{429} - 5 x^{428} + 5 x^{427} - 5 x^{426} + 5 x^{425} - 5 x^{424} + 5 x^{423} - 5 x^{422} + 5 x^{421} - 5 x^{420} + 5 x^{419} - 5 x^{418} + 5 x^{417} - 5 x^{416} + 5 x^{415} - 5 x^{414} + 5 x^{413} - 5 x^{412} + 5 x^{411} - 5 x^{410} + 5 x^{409} - 5 x^{408} + 5 x^{407} - 5 x^{406} + 5 x^{405} - 5 x^{404} + 5 x^{403} - 5 x^{402} + 5 x^{401} - 5 x^{400} + 5 x^{399} - 5 x^{398} + 5 x^{397} - 5 x^{396} + 5 x^{395} - 5 x^{394} + 5 x^{393} - 5 x^{392} + 5 x^{391} - 5 x^{390} + 5 x^{389} - 5 x^{388} + 5 x^{387} - 5 x^{386} + 5 x^{385} - 5 x^{384} + 5 x^{383} - 5 x^{382} + 5 x^{381} - 5 x^{380} + 5 x^{379} - 5 x^{378} + 5 x^{377} - 5 x^{376} + 5 x^{375} - 5 x^{374} + 5 x^{373} - 5 x^{372} + 5 x^{371} - 5 x^{370} + 5 x^{369} - 5 x^{368} + 5 x^{367} - 5 x^{366} + 5 x^{365} - 5 x^{364} + 5 x^{363} - 5 x^{362} + 5 x^{361} - 5 x^{360} + 5 x^{359} - 5 x^{358} + 5 x^{357} - 5 x^{356} + 5 x^{355} - 5 x^{354} + 5 x^{353} - 5 x^{352} + 5 x^{351} - 5 x^{350} + 5 x^{349} - 5 x^{348} + 5 x^{347} - 5 x^{346} + 5 x^{345} - 5 x^{344} + 5 x^{343} - 5 x^{342} + 5 x^{341} - 5 x^{340} + 5 x^{339} - 5 x^{338} + 5 x^{337} - 5 x^{336} + 5 x^{335} - 5 x^{334} + 5 x^{333} - 5 x^{332} + 5 x^{331} - 5 x^{330} + 5 x^{329} - 5 x^{328} + 5 x^{327} - 5 x^{326} + 5 x^{325} - 5 x^{324} + 5 x^{323} - 5 x^{322} + 5 x^{321} - 5 x^{320} + 5 x^{319} - 5 x^{318} + 5 x^{317} - 5 x^{316} + 5 x^{315} - 5 x^{314} + 5 x^{313} - 5 x^{312} + 5 x^{311} - 5 x^{310} + 5 x^{309} - 5 x^{308} + 5 x^{307} - 5 x^{306} + 5 x^{305} - 5 x^{304} + 5 x^{303} - 5 x^{302} + 5 x^{301} - 5 x^{300} + 5 x^{299} - 5 x^{298} + 5 x^{297} - 5 x^{296} + 5 x^{295} - 5 x^{294} + 5 x^{293} - 5 x^{292} + 5 x^{291} - 5 x^{290} + 5 x^{289} - 5 x^{288} + 5 x^{287} - 5 x^{286} + 5 x^{285} - 5 x^{284} + 5 x^{283} - 5 x^{282} + 5 x^{281} - 5 x^{280} + 5 x^{279} - 5 x^{278} + 5 x^{277} - 5 x^{276} + 5 x^{275} - 5 x^{274} + 5 x^{273} - 5 x^{272} + 5 x^{271} - 5 x^{270} + 5 x^{269} - 5 x^{268} + 5 x^{267} - 5 x^{266} + 5 x^{265} - 5 x^{264} + 5 x^{263} - 5 x^{262} + 5 x^{261} - 5 x^{260} + 5 x^{259} - 5 x^{258} + 5 x^{257} - 5 x^{256} + 5 x^{255} - 5 x^{254} + 5 x^{253} - 5 x^{252} + 5 x^{251} - 5 x^{250} + 5 x^{249} - 5 x^{248} + 5 x^{247} - 5 x^{246} + 5 x^{245} - 5 x^{244} + 5 x^{243} - 5 x^{242} + 5 x^{241} - 5 x^{240} + 5 x^{239} - 5 x^{238} + 5 x^{237} - 5 x^{236} + 5 x^{235} - 5 x^{234} + 5 x^{233} - 5 x^{232} + 5 x^{231} - 5 x^{230} + 5 x^{229} - 5 x^{228} + 5 x^{227} - 5 x^{226} + 5 x^{225} - 5 x^{224} + 5 x^{223} - 5 x^{222} + 5 x^{221} - 5 x^{220} + 5 x^{219} - 5 x^{218} + 5 x^{217} - 5 x^{216} + 5 x^{215} - 5 x^{214} + 5 x^{213} - 5 x^{212} + 5 x^{211} - 5 x^{210} + 5 x^{209} - 5 x^{208} + 5 x^{207} - 5 x^{206} + 5 x^{205} - 5 x^{204} + 5 x^{203} - 5 x^{202} + 5 x^{201} - 5 x^{200} + 5 x^{199} - 5 x^{198} + 5 x^{197} - 5 x^{196} + 5 x^{195} - 5 x^{194} + 5 x^{193} - 5 x^{192} + 5 x^{191} - 5 x^{190} + 5 x^{189} - 5 x^{188} + 5 x^{187} - 5 x^{186} + 5 x^{185} - 5 x^{184} + 5 x^{183} - 5 x^{182} + 5 x^{181} - 5 x^{180} + 5 x^{179} - 5 x^{178} + 5 x^{177} - 5 x^{176} + 5 x^{175} - 5 x^{174} + 5 x^{173} - 5 x^{172} + 5 x^{171} - 5 x^{170} + 5 x^{169} - 5 x^{168} + 5 x^{167} - 5 x^{166} + 5 x^{165} - 5 x^{164} + 5 x^{163} - 5 x^{162} + 5 x^{161} - 5 x^{160} + 5 x^{159} - 5 x^{158} + 5 x^{157} - 5 x^{156} + 5 x^{155} - 5 x^{154} + 5 x^{153} - 5 x^{152} + 5 x^{151} - 5 x^{150} + 5 x^{149} - 5 x^{148} + 5 x^{147} - 5 x^{146} + 5 x^{145} - 5 x^{144} + 5 x^{143} - 5 x^{142} + 5 x^{141} - 5 x^{140} + 5 x^{139} - 5 x^{138} + 5 x^{137} - 5 x^{136} + 5 x^{135} - 5 x^{134} + 5 x^{133} - 5 x^{132} + 5 x^{131} - 5 x^{130} + 5 x^{129} - 5 x^{128} + 5 x^{127} - 5 x^{126} + 5 x^{125} - 5 x^{124} + 5 x^{123} - 5 x^{122} + 5 x^{121} - 5 x^{120} + 5 x^{119} - 5 x^{118} + 5 x^{117} - 5 x^{116} + 5 x^{115} - 5 x^{114} + 5 x^{113} - 5 x^{112} + 5 x^{111} - 5 x^{110} + 5 x^{109} - 5 x^{108} + 5 x^{107} - 5 x^{106} + 5 x^{105} - 5 x^{104} + 5 x^{103} - 5 x^{102} + 5 x^{101} - 5 x^{100} + 5 x^{99} - 5 x^{98} + 5 x^{97} - 5 x^{96} + 5 x^{95} - 5 x^{94} + 5 x^{93} - 5 x^{92} + 5 x^{91} - 5 x^{90} + 5 x^{89} - 5 x^{88} + 5 x^{87} - 5 x^{86} + 5 x^{85} - 5 x^{84} + 5 x^{83} - 5 x^{82} + 5 x^{81} - 5 x^{80} + 5 x^{79} - 5 x^{78} + 5 x^{77} - 5 x^{76} + 5 x^{75} - 5 x^{74} + 5 x^{73} - 5 x^{72} + 5 x^{71} - 5 x^{70} + 5 x^{69} - 5 x^{68} + 5 x^{67} - 5 x^{66} + 5 x^{65} - 5 x^{64} + 5 x^{63} - 5 x^{62} + 5 x^{61} - 5 x^{60} + 5 x^{59} - 5 x^{58} + 5 x^{57} - 5 x^{56} + 5 x^{55} - 5 x^{54} + 5 x^{53} - 5 x^{52} + 5 x^{51} - 5 x^{50} + 5 x^{49} - 5 x^{48} + 5 x^{47} - 5 x^{46} + 5 x^{45} - 5 x^{44} + 5 x^{43} - 5 x^{42} + 5 x^{41} - 5 x^{40} + 5 x^{39} - 5 x^{38} + 5 x^{37} - 5 x^{36} + 3 x^{35} - 3 x^{34} + 3 x^{33} - 3 x^{32} + 3 x^{31} - 3 x^{30} + 3 x^{29} - 3 x^{28} + 3 x^{27} - 3 x^{26} + 3 x^{25} + 4 x^{24} - 4 x^{23} + 4 x^{22} - 4 x^{21} + 4 x^{20} - 4 x^{19} + 4 x^{18} - 4 x^{17} + 4 x^{16} - 4 x^{15} + 4 x^{14} - 4 x^{13} + 4 x^{12} - 4 x^{11} + 4 x^{10} - 4 x^{9} + 4 x^{8} - 4 x^{7} + 4 x^{6} - 4 x^{5} + 4 x^{4} - 4 x^{3} + 4 x^{2} - 4 x + 4 + \frac{1}{x + 1}$$