#!/usr/local/bin/maple
# -*- maplev -*-

# Nathaniel Shar
# HW 7 supplement
# Experimental Mathematics

AnswerToProblem7 := [1/2*x*(15*x+1)*(6600*x^2+380*x+7), 1/2*x*(15*x+1)*(6600*x^2+500*x+11), 1/2*x*(39+1265*x+18900*x^2+99000*x^3), 1/2*x*(43+1535*x+20700*x^2+99000*x^3), 1+95/2*x+2375/2*x^2+12750*x^3+49500*x^4, 1+117/2*x+2735/2*x^2+13650*x^3+49500*x^4, 1/2*(15*x+1)*(6600*x^3+1700*x^2+141*x+4), 2+229/2*x+4265/2*x^2+16950*x^3+49500*x^4, 4+353/2*x+5585/2*x^2+19350*x^3+49500*x^4, 5+405/2*x+6125/2*x^2+20250*x^3+49500*x^4, 8+577/2*x+7685/2*x^2+22650*x^3+49500*x^4, 1/2*(15*x+2)*(6600*x^3+2260*x^2+253*x+9), 14+869/2*x+10115/2*x^2+25950*x^3+49500*x^4, 16+963/2*x+10835/2*x^2+26850*x^3+49500*x^4, 23+1255/2*x+12875/2*x^2+29250*x^3+49500*x^4, 1/2*(5*x+1)*(19800*x^3+8100*x^2+1117*x+50), 1/2*(15*x+2)*(5*x+1)*(1320*x^2+428*x+35), 1/2*(15*x+2)*(5*x+1)*(1320*x^2+452*x+39), 52+2323/2*x+19385/2*x^2+35850*x^3+49500*x^4, 57+2495/2*x+20375/2*x^2+36750*x^3+49500*x^4, 1/2*(5*x+1)*(19800*x^3+11700*x^2+2287*x+148), 1/2*(5*x+1)*(19800*x^3+12060*x^2+2431*x+162), 1/2*(5*x+1)*(19800*x^3+13020*x^2+2839*x+206), 111+4113/2*x+28385/2*x^2+43350*x^3+49500*x^4, 139+4845/2*x+31625/2*x^2+45750*x^3+49500*x^4, 1/2*(15*x+4)*(5*x+1)*(1320*x^2+628*x+75), 1/2*(5*x+1)*(19800*x^3+15660*x^2+4141*x+368), 1/2*(5*x+1)*(19800*x^3+16020*x^2+4339*x+394), 239+7273/2*x+41435/2*x^2+52350*x^3+49500*x^4, 256+7655/2*x+42875/2*x^2+53250*x^3+49500*x^4, 1/2*(15*x+4)*(6600*x^3+5660*x^2+1613*x+153), 325+9171/2*x+48365/2*x^2+56550*x^3+49500*x^4, 385+10399/2*x+52565/2*x^2+58950*x^3+49500*x^4, 409+10883/2*x+54185/2*x^2+59850*x^3+49500*x^4, 5/2*(3*x+1)*(6600*x^3+6100*x^2+1875*x+192), 1/2*(3*x+1)*(33000*x^3+31100*x^2+9745*x+1014), 590+14311/2*x+65015/2*x^2+65550*x^3+49500*x^4, 623+14909/2*x+66815/2*x^2+66450*x^3+49500*x^4, 1/2*(5*x+2)*(19800*x^3+19620*x^2+6499*x+719),756+17245/2*x+73625/2*x^2+69750*x^3+49500*x^4, 1/2*(5*x+2)*(3*x+1)*(6600*x^2+4780*x+867), 1/2*(5*x+2)*(3*x+1)*(6600*x^2+4900*x+911), 1038+21849/2*x+86165/2*x^2+75450*x^3+49500*x^4, 1/2*(5*x+2)*(19800*x^3+22620*x^2+8599*x+1087), 1232+24845/2*x+93875/2*x^2+78750*x^3+49500*x^4, 1/2*(5*x+2)*(19800*x^3+23940*x^2+9631*x+1289), 1/2*(5*x+2)*(19800*x^3+24900*x^2+10423*x+1453), 1516+29039/2*x+104165/2*x^2+82950*x^3+49500*x^4, 1/2*(5*x+2)*(15*x+7)*(1320*x^2+1132*x+243),1774+32655/2*x+112625/2*x^2+86250*x^3+49500*x^4, 1/2*(5*x+2)*(19800*x^3+27540*x^2+12781*x+1981), 1/2*(5*x+2)*(19800*x^3+27900*x^2+13123*x+2061), 2293+39579/2*x+128015/2*x^2+91950*x^3+49500*x^4, 2384+40753/2*x+130535/2*x^2+92850*x^3+49500*x^4, 2642+44005/2*x+137375/2*x^2+95250*x^3+49500*x^4, 2741+45257/2*x+139985/2*x^2+96150*x^3+49500*x^4, 3027+48741/2*x+147065/2*x^2+98550*x^3+49500*x^4, 3139+50089/2*x+149765/2*x^2+99450*x^3+49500*x^4, 3455+53813/2*x+157085/2*x^2+101850*x^3+49500*x^4, 3577+55245/2*x+159875/2*x^2+102750*x^3+49500*x^4, 3925+59217/2*x+167435/2*x^2+105150*x^3+49500*x^4, 4061+60751/2*x+170315/2*x^2+106050*x^3+49500*x^4, 1/2*(5*x+3)*(19800*x^3+31500*x^2+16723*x+2962), 1/2*(5*x+3)*(19800*x^3+31860*x^2+17101*x+3060), 5009+71095/2*x+189125/2*x^2+111750*x^3+49500*x^4, 1/2*(15*x+8)*(5*x+3)*(1320*x^2+1508*x+431), 5629+77591/2*x+200465/2*x^2+115050*x^3+49500*x^4, 1/2*(5*x+3)*(19800*x^3+34500*x^2+20023*x+3870), 1/2*(5*x+3)*(19800*x^3+35460*x^2+21151*x+4202), 6497+86405/2*x+215375/2*x^2+119250*x^3+49500*x^4, 1/2*(5*x+3)*(19800*x^3+36780*x^2+22759*x+4692), 7246+93781/2*x+227465/2*x^2+122550*x^3+49500*x^4, 1/2*(3*x+2)*(5*x+3)*(6600*x^2+8300*x+2611), 1/2*(3*x+2)*(5*x+3)*(6600*x^2+8420*x+2687), 8696+107505/2*x+249125/2*x^2+128250*x^3+49500*x^4, 1/2*(5*x+3)*(19800*x^3+39780*x^2+26659*x+5960), 9626+116021/2*x+262115/2*x^2+131550*x^3+49500*x^4, 9892+118419/2*x+265715/2*x^2+132450*x^3+49500*x^4, 1/2*(3*x+2)*(33000*x^3+67900*x^2+46545*x+10631), 5/2*(3*x+2)*(6600*x^3+13700*x^2+9475*x+2183), 11710+134387/2*x+289085/2*x^2+138150*x^3+49500*x^4, 12018+137031/2*x+292865/2*x^2+139050*x^3+49500*x^4, 12872+144259/2*x+303065/2*x^2+141450*x^3+49500*x^4, 1/2*(15*x+11)*(6600*x^3+14140*x^2+10093*x+2400), 14116+154595/2*x+317375/2*x^2+144750*x^3+49500*x^4, 14470+157497/2*x+321335/2*x^2+145650*x^3+49500*x^4, 1/2*(5*x+4)*(19800*x^3+43380*x^2+31699*x+7725), 1/2*(5*x+4)*(19800*x^3+43740*x^2+32221*x+7913), 1/2*(5*x+4)*(15*x+11)*(1320*x^2+2012*x+767), 17279+179905/2*x+351125/2*x^2+152250*x^3+49500*x^4,18397+188557/2*x+362285/2*x^2+154650*x^3+49500*x^4, 1/2*(5*x+4)*(19800*x^3+46380*x^2+36199*x+9413), 1/2*(5*x+4)*(19800*x^3+47340*x^2+37711*x+10009), 1/2*(5*x+4)*(19800*x^3+47700*x^2+38287*x+10239), 21747+213755/2*x+393875/2*x^2+161250*x^3+49500*x^4, 22233+217347/2*x+398285/2*x^2+162150*x^3+49500*x^4, 1/2*(5*x+4)*(15*x+13)*(1320*x^2+2188*x+907), 1/2*(5*x+4)*(15*x+13)*(1320*x^2+2212*x+927), 1/2*(5*x+4)*(19800*x^3+51300*x^2+44317*x+12767), 26083+244995/2*x+431375/2*x^2+168750*x^3+49500*x^4, 27602+255607/2*x+443735/2*x^2+171150*x^3+49500*x^4, 28187+259661/2*x+448415/2*x^2+172050*x^3+49500*x^4, 1/2*(15*x+13)*(6600*x^3+17540*x^2+15533*x+4584), 30412+274893/2*x+465785/2*x^2+175350*x^3+49500*x^4, 32115+286345/2*x+478625/2*x^2+177750*x^3+49500*x^4, 32770+290717/2*x+483485/2*x^2+178650*x^3+49500*x^4, 34570+302601/2*x+496565/2*x^2+181050*x^3+49500*x^4, 1/2*(15*x+14)*(6600*x^3+18100*x^2+16541*x+5037), 37160+319453/2*x+514835/2*x^2+184350*x^3+49500*x^4, 37891+324155/2*x+519875/2*x^2+185250*x^3+49500*x^4, 1/2*(1+x)*(99000*x^3+276300*x^2+257135*x+79792), 1/2*(1+x)*(99000*x^3+278100*x^2+260465*x+81326), 1/2*(15*x+14)*(1+x)*(6600*x^2+12700*x+6111), 1/2*(15*x+14)*(1+x)*(6600*x^2+12820*x+6227), 5/2*(1+x)*(19800*x^3+57900*x^2+56425*x+18326), 1/2*(1+x)*(99000*x^3+291300*x^2+285635*x+93332), 1/2*(1+x)*(99000*x^3+296100*x^2+295115*x+98016), 1/2*(1+x)*(99000*x^3+297900*x^2+298715*x+99814), 1/2*(1+x)*(99000*x^3+302700*x^2+308435*x+104738), 5/2*x*(-1+25*x+1500*x^2+19800*x^3)]: