Сократим дробь (15*x^712-2*x^35+7*x^5+10)/(x+1)

Учитель очень удивится увидев твоё верное решение 😼

Решение

Вы ввели [src]
    712      35      5     
15*x    - 2*x   + 7*x  + 10
---------------------------
           x + 1           
$$\frac{1}{x + 1} \left(7 x^{5} + 15 x^{712} - 2 x^{35} + 10\right)$$
Степени [src]
        35      5       712
10 - 2*x   + 7*x  + 15*x   
---------------------------
           1 + x           
$$\frac{1}{x + 1} \left(15 x^{712} - 2 x^{35} + 7 x^{5} + 10\right)$$
Численный ответ [src]
(10.0 + 7.0*x^5 + 15.0*x^712 - 2.0*x^35)/(1.0 + x)
Рациональный знаменатель [src]
        35      5       712
10 - 2*x   + 7*x  + 15*x   
---------------------------
           1 + x           
$$\frac{1}{x + 1} \left(15 x^{712} - 2 x^{35} + 7 x^{5} + 10\right)$$
Объединение рациональных выражений [src]
      5 /     30 /         677\\
10 + x *\7 + x  *\-2 + 15*x   //
--------------------------------
             1 + x              
$$\frac{1}{x + 1} \left(x^{5} \left(x^{30} \left(15 x^{677} - 2\right) + 7\right) + 10\right)$$
Общее упрощение [src]
        35      5       712
10 - 2*x   + 7*x  + 15*x   
---------------------------
           1 + x           
$$\frac{1}{x + 1} \left(15 x^{712} - 2 x^{35} + 7 x^{5} + 10\right)$$
Собрать выражение [src]
        5       712      35
10 + 7*x  + 15*x    - 2*x  
---------------------------
           1 + x           
$$\frac{1}{x + 1} \left(15 x^{712} - 2 x^{35} + 7 x^{5} + 10\right)$$
Общий знаменатель [src]
          6       8       10       12       14       16       18       20       22       24       26       28       30       32       34       36       38       40       42       44       46       48       50       52       54       56       58       60       62       64       66       68       70       72       74       76       78       80       82       84       86       88       90       92       94       96       98       100       102       104       106       108       110       112       114       116       118       120       122       124       126       128       130       132       134       136       138       140       142       144       146       148       150       152       154       156       158       160       162       164       166       168       170       172       174       176       178       180       182       184       186       188       190       192       194       196       198       200       202       204       206       208       210       212       214       216       218       220       222       224       226       228       230       232       234       236       238       240       242       244       246       248       250       252       254       256       258       260       262       264       266       268       270       272       274       276       278       280       282       284       286       288       290       292       294       296       298       300       302       304       306       308       310       312       314       316       318       320       322       324       326       328       330       332       334       336       338       340       342       344       346       348       350       352       354       356       358       360       362       364       366       368       370       372       374       376       378       380       382       384       386       388       390       392       394       396       398       400       402       404       406       408       410       412       414       416       418       420       422       424       426       428       430       432       434       436       438       440       442       444       446       448       450       452       454       456       458       460       462       464       466       468       470       472       474       476       478       480       482       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       2       4              3       35       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       5       7       9       11       13       15       17       19       21       23       25       27       29       31       33     20 
-10 - 17*x  - 17*x  - 17*x   - 17*x   - 17*x   - 17*x   - 17*x   - 17*x   - 17*x   - 17*x   - 17*x   - 17*x   - 17*x   - 17*x   - 17*x   - 15*x   - 15*x   - 15*x   - 15*x   - 15*x   - 15*x   - 15*x   - 15*x   - 15*x   - 15*x   - 15*x   - 15*x   - 15*x   - 15*x   - 15*x   - 15*x   - 15*x   - 15*x   - 15*x   - 15*x   - 15*x   - 15*x   - 15*x   - 15*x   - 15*x   - 15*x   - 15*x   - 15*x   - 15*x   - 15*x   - 15*x   - 15*x   - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 15*x    - 10*x  - 10*x  + 10*x + 10*x  + 15*x   + 15*x   + 15*x   + 15*x   + 15*x   + 15*x   + 15*x   + 15*x   + 15*x   + 15*x   + 15*x   + 15*x   + 15*x   + 15*x   + 15*x   + 15*x   + 15*x   + 15*x   + 15*x   + 15*x   + 15*x   + 15*x   + 15*x   + 15*x   + 15*x   + 15*x   + 15*x   + 15*x   + 15*x   + 15*x   + 15*x   + 15*x   + 15*x   + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 15*x    + 17*x  + 17*x  + 17*x  + 17*x   + 17*x   + 17*x   + 17*x   + 17*x   + 17*x   + 17*x   + 17*x   + 17*x   + 17*x   + 17*x   + 17*x   + -----
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               1 + x
$$15 x^{711} - 15 x^{710} + 15 x^{709} - 15 x^{708} + 15 x^{707} - 15 x^{706} + 15 x^{705} - 15 x^{704} + 15 x^{703} - 15 x^{702} + 15 x^{701} - 15 x^{700} + 15 x^{699} - 15 x^{698} + 15 x^{697} - 15 x^{696} + 15 x^{695} - 15 x^{694} + 15 x^{693} - 15 x^{692} + 15 x^{691} - 15 x^{690} + 15 x^{689} - 15 x^{688} + 15 x^{687} - 15 x^{686} + 15 x^{685} - 15 x^{684} + 15 x^{683} - 15 x^{682} + 15 x^{681} - 15 x^{680} + 15 x^{679} - 15 x^{678} + 15 x^{677} - 15 x^{676} + 15 x^{675} - 15 x^{674} + 15 x^{673} - 15 x^{672} + 15 x^{671} - 15 x^{670} + 15 x^{669} - 15 x^{668} + 15 x^{667} - 15 x^{666} + 15 x^{665} - 15 x^{664} + 15 x^{663} - 15 x^{662} + 15 x^{661} - 15 x^{660} + 15 x^{659} - 15 x^{658} + 15 x^{657} - 15 x^{656} + 15 x^{655} - 15 x^{654} + 15 x^{653} - 15 x^{652} + 15 x^{651} - 15 x^{650} + 15 x^{649} - 15 x^{648} + 15 x^{647} - 15 x^{646} + 15 x^{645} - 15 x^{644} + 15 x^{643} - 15 x^{642} + 15 x^{641} - 15 x^{640} + 15 x^{639} - 15 x^{638} + 15 x^{637} - 15 x^{636} + 15 x^{635} - 15 x^{634} + 15 x^{633} - 15 x^{632} + 15 x^{631} - 15 x^{630} + 15 x^{629} - 15 x^{628} + 15 x^{627} - 15 x^{626} + 15 x^{625} - 15 x^{624} + 15 x^{623} - 15 x^{622} + 15 x^{621} - 15 x^{620} + 15 x^{619} - 15 x^{618} + 15 x^{617} - 15 x^{616} + 15 x^{615} - 15 x^{614} + 15 x^{613} - 15 x^{612} + 15 x^{611} - 15 x^{610} + 15 x^{609} - 15 x^{608} + 15 x^{607} - 15 x^{606} + 15 x^{605} - 15 x^{604} + 15 x^{603} - 15 x^{602} + 15 x^{601} - 15 x^{600} + 15 x^{599} - 15 x^{598} + 15 x^{597} - 15 x^{596} + 15 x^{595} - 15 x^{594} + 15 x^{593} - 15 x^{592} + 15 x^{591} - 15 x^{590} + 15 x^{589} - 15 x^{588} + 15 x^{587} - 15 x^{586} + 15 x^{585} - 15 x^{584} + 15 x^{583} - 15 x^{582} + 15 x^{581} - 15 x^{580} + 15 x^{579} - 15 x^{578} + 15 x^{577} - 15 x^{576} + 15 x^{575} - 15 x^{574} + 15 x^{573} - 15 x^{572} + 15 x^{571} - 15 x^{570} + 15 x^{569} - 15 x^{568} + 15 x^{567} - 15 x^{566} + 15 x^{565} - 15 x^{564} + 15 x^{563} - 15 x^{562} + 15 x^{561} - 15 x^{560} + 15 x^{559} - 15 x^{558} + 15 x^{557} - 15 x^{556} + 15 x^{555} - 15 x^{554} + 15 x^{553} - 15 x^{552} + 15 x^{551} - 15 x^{550} + 15 x^{549} - 15 x^{548} + 15 x^{547} - 15 x^{546} + 15 x^{545} - 15 x^{544} + 15 x^{543} - 15 x^{542} + 15 x^{541} - 15 x^{540} + 15 x^{539} - 15 x^{538} + 15 x^{537} - 15 x^{536} + 15 x^{535} - 15 x^{534} + 15 x^{533} - 15 x^{532} + 15 x^{531} - 15 x^{530} + 15 x^{529} - 15 x^{528} + 15 x^{527} - 15 x^{526} + 15 x^{525} - 15 x^{524} + 15 x^{523} - 15 x^{522} + 15 x^{521} - 15 x^{520} + 15 x^{519} - 15 x^{518} + 15 x^{517} - 15 x^{516} + 15 x^{515} - 15 x^{514} + 15 x^{513} - 15 x^{512} + 15 x^{511} - 15 x^{510} + 15 x^{509} - 15 x^{508} + 15 x^{507} - 15 x^{506} + 15 x^{505} - 15 x^{504} + 15 x^{503} - 15 x^{502} + 15 x^{501} - 15 x^{500} + 15 x^{499} - 15 x^{498} + 15 x^{497} - 15 x^{496} + 15 x^{495} - 15 x^{494} + 15 x^{493} - 15 x^{492} + 15 x^{491} - 15 x^{490} + 15 x^{489} - 15 x^{488} + 15 x^{487} - 15 x^{486} + 15 x^{485} - 15 x^{484} + 15 x^{483} - 15 x^{482} + 15 x^{481} - 15 x^{480} + 15 x^{479} - 15 x^{478} + 15 x^{477} - 15 x^{476} + 15 x^{475} - 15 x^{474} + 15 x^{473} - 15 x^{472} + 15 x^{471} - 15 x^{470} + 15 x^{469} - 15 x^{468} + 15 x^{467} - 15 x^{466} + 15 x^{465} - 15 x^{464} + 15 x^{463} - 15 x^{462} + 15 x^{461} - 15 x^{460} + 15 x^{459} - 15 x^{458} + 15 x^{457} - 15 x^{456} + 15 x^{455} - 15 x^{454} + 15 x^{453} - 15 x^{452} + 15 x^{451} - 15 x^{450} + 15 x^{449} - 15 x^{448} + 15 x^{447} - 15 x^{446} + 15 x^{445} - 15 x^{444} + 15 x^{443} - 15 x^{442} + 15 x^{441} - 15 x^{440} + 15 x^{439} - 15 x^{438} + 15 x^{437} - 15 x^{436} + 15 x^{435} - 15 x^{434} + 15 x^{433} - 15 x^{432} + 15 x^{431} - 15 x^{430} + 15 x^{429} - 15 x^{428} + 15 x^{427} - 15 x^{426} + 15 x^{425} - 15 x^{424} + 15 x^{423} - 15 x^{422} + 15 x^{421} - 15 x^{420} + 15 x^{419} - 15 x^{418} + 15 x^{417} - 15 x^{416} + 15 x^{415} - 15 x^{414} + 15 x^{413} - 15 x^{412} + 15 x^{411} - 15 x^{410} + 15 x^{409} - 15 x^{408} + 15 x^{407} - 15 x^{406} + 15 x^{405} - 15 x^{404} + 15 x^{403} - 15 x^{402} + 15 x^{401} - 15 x^{400} + 15 x^{399} - 15 x^{398} + 15 x^{397} - 15 x^{396} + 15 x^{395} - 15 x^{394} + 15 x^{393} - 15 x^{392} + 15 x^{391} - 15 x^{390} + 15 x^{389} - 15 x^{388} + 15 x^{387} - 15 x^{386} + 15 x^{385} - 15 x^{384} + 15 x^{383} - 15 x^{382} + 15 x^{381} - 15 x^{380} + 15 x^{379} - 15 x^{378} + 15 x^{377} - 15 x^{376} + 15 x^{375} - 15 x^{374} + 15 x^{373} - 15 x^{372} + 15 x^{371} - 15 x^{370} + 15 x^{369} - 15 x^{368} + 15 x^{367} - 15 x^{366} + 15 x^{365} - 15 x^{364} + 15 x^{363} - 15 x^{362} + 15 x^{361} - 15 x^{360} + 15 x^{359} - 15 x^{358} + 15 x^{357} - 15 x^{356} + 15 x^{355} - 15 x^{354} + 15 x^{353} - 15 x^{352} + 15 x^{351} - 15 x^{350} + 15 x^{349} - 15 x^{348} + 15 x^{347} - 15 x^{346} + 15 x^{345} - 15 x^{344} + 15 x^{343} - 15 x^{342} + 15 x^{341} - 15 x^{340} + 15 x^{339} - 15 x^{338} + 15 x^{337} - 15 x^{336} + 15 x^{335} - 15 x^{334} + 15 x^{333} - 15 x^{332} + 15 x^{331} - 15 x^{330} + 15 x^{329} - 15 x^{328} + 15 x^{327} - 15 x^{326} + 15 x^{325} - 15 x^{324} + 15 x^{323} - 15 x^{322} + 15 x^{321} - 15 x^{320} + 15 x^{319} - 15 x^{318} + 15 x^{317} - 15 x^{316} + 15 x^{315} - 15 x^{314} + 15 x^{313} - 15 x^{312} + 15 x^{311} - 15 x^{310} + 15 x^{309} - 15 x^{308} + 15 x^{307} - 15 x^{306} + 15 x^{305} - 15 x^{304} + 15 x^{303} - 15 x^{302} + 15 x^{301} - 15 x^{300} + 15 x^{299} - 15 x^{298} + 15 x^{297} - 15 x^{296} + 15 x^{295} - 15 x^{294} + 15 x^{293} - 15 x^{292} + 15 x^{291} - 15 x^{290} + 15 x^{289} - 15 x^{288} + 15 x^{287} - 15 x^{286} + 15 x^{285} - 15 x^{284} + 15 x^{283} - 15 x^{282} + 15 x^{281} - 15 x^{280} + 15 x^{279} - 15 x^{278} + 15 x^{277} - 15 x^{276} + 15 x^{275} - 15 x^{274} + 15 x^{273} - 15 x^{272} + 15 x^{271} - 15 x^{270} + 15 x^{269} - 15 x^{268} + 15 x^{267} - 15 x^{266} + 15 x^{265} - 15 x^{264} + 15 x^{263} - 15 x^{262} + 15 x^{261} - 15 x^{260} + 15 x^{259} - 15 x^{258} + 15 x^{257} - 15 x^{256} + 15 x^{255} - 15 x^{254} + 15 x^{253} - 15 x^{252} + 15 x^{251} - 15 x^{250} + 15 x^{249} - 15 x^{248} + 15 x^{247} - 15 x^{246} + 15 x^{245} - 15 x^{244} + 15 x^{243} - 15 x^{242} + 15 x^{241} - 15 x^{240} + 15 x^{239} - 15 x^{238} + 15 x^{237} - 15 x^{236} + 15 x^{235} - 15 x^{234} + 15 x^{233} - 15 x^{232} + 15 x^{231} - 15 x^{230} + 15 x^{229} - 15 x^{228} + 15 x^{227} - 15 x^{226} + 15 x^{225} - 15 x^{224} + 15 x^{223} - 15 x^{222} + 15 x^{221} - 15 x^{220} + 15 x^{219} - 15 x^{218} + 15 x^{217} - 15 x^{216} + 15 x^{215} - 15 x^{214} + 15 x^{213} - 15 x^{212} + 15 x^{211} - 15 x^{210} + 15 x^{209} - 15 x^{208} + 15 x^{207} - 15 x^{206} + 15 x^{205} - 15 x^{204} + 15 x^{203} - 15 x^{202} + 15 x^{201} - 15 x^{200} + 15 x^{199} - 15 x^{198} + 15 x^{197} - 15 x^{196} + 15 x^{195} - 15 x^{194} + 15 x^{193} - 15 x^{192} + 15 x^{191} - 15 x^{190} + 15 x^{189} - 15 x^{188} + 15 x^{187} - 15 x^{186} + 15 x^{185} - 15 x^{184} + 15 x^{183} - 15 x^{182} + 15 x^{181} - 15 x^{180} + 15 x^{179} - 15 x^{178} + 15 x^{177} - 15 x^{176} + 15 x^{175} - 15 x^{174} + 15 x^{173} - 15 x^{172} + 15 x^{171} - 15 x^{170} + 15 x^{169} - 15 x^{168} + 15 x^{167} - 15 x^{166} + 15 x^{165} - 15 x^{164} + 15 x^{163} - 15 x^{162} + 15 x^{161} - 15 x^{160} + 15 x^{159} - 15 x^{158} + 15 x^{157} - 15 x^{156} + 15 x^{155} - 15 x^{154} + 15 x^{153} - 15 x^{152} + 15 x^{151} - 15 x^{150} + 15 x^{149} - 15 x^{148} + 15 x^{147} - 15 x^{146} + 15 x^{145} - 15 x^{144} + 15 x^{143} - 15 x^{142} + 15 x^{141} - 15 x^{140} + 15 x^{139} - 15 x^{138} + 15 x^{137} - 15 x^{136} + 15 x^{135} - 15 x^{134} + 15 x^{133} - 15 x^{132} + 15 x^{131} - 15 x^{130} + 15 x^{129} - 15 x^{128} + 15 x^{127} - 15 x^{126} + 15 x^{125} - 15 x^{124} + 15 x^{123} - 15 x^{122} + 15 x^{121} - 15 x^{120} + 15 x^{119} - 15 x^{118} + 15 x^{117} - 15 x^{116} + 15 x^{115} - 15 x^{114} + 15 x^{113} - 15 x^{112} + 15 x^{111} - 15 x^{110} + 15 x^{109} - 15 x^{108} + 15 x^{107} - 15 x^{106} + 15 x^{105} - 15 x^{104} + 15 x^{103} - 15 x^{102} + 15 x^{101} - 15 x^{100} + 15 x^{99} - 15 x^{98} + 15 x^{97} - 15 x^{96} + 15 x^{95} - 15 x^{94} + 15 x^{93} - 15 x^{92} + 15 x^{91} - 15 x^{90} + 15 x^{89} - 15 x^{88} + 15 x^{87} - 15 x^{86} + 15 x^{85} - 15 x^{84} + 15 x^{83} - 15 x^{82} + 15 x^{81} - 15 x^{80} + 15 x^{79} - 15 x^{78} + 15 x^{77} - 15 x^{76} + 15 x^{75} - 15 x^{74} + 15 x^{73} - 15 x^{72} + 15 x^{71} - 15 x^{70} + 15 x^{69} - 15 x^{68} + 15 x^{67} - 15 x^{66} + 15 x^{65} - 15 x^{64} + 15 x^{63} - 15 x^{62} + 15 x^{61} - 15 x^{60} + 15 x^{59} - 15 x^{58} + 15 x^{57} - 15 x^{56} + 15 x^{55} - 15 x^{54} + 15 x^{53} - 15 x^{52} + 15 x^{51} - 15 x^{50} + 15 x^{49} - 15 x^{48} + 15 x^{47} - 15 x^{46} + 15 x^{45} - 15 x^{44} + 15 x^{43} - 15 x^{42} + 15 x^{41} - 15 x^{40} + 15 x^{39} - 15 x^{38} + 15 x^{37} - 15 x^{36} + 15 x^{35} - 17 x^{34} + 17 x^{33} - 17 x^{32} + 17 x^{31} - 17 x^{30} + 17 x^{29} - 17 x^{28} + 17 x^{27} - 17 x^{26} + 17 x^{25} - 17 x^{24} + 17 x^{23} - 17 x^{22} + 17 x^{21} - 17 x^{20} + 17 x^{19} - 17 x^{18} + 17 x^{17} - 17 x^{16} + 17 x^{15} - 17 x^{14} + 17 x^{13} - 17 x^{12} + 17 x^{11} - 17 x^{10} + 17 x^{9} - 17 x^{8} + 17 x^{7} - 17 x^{6} + 17 x^{5} - 10 x^{4} + 10 x^{3} - 10 x^{2} + 10 x - 10 + \frac{20}{x + 1}$$