Produce a palindrome from this text
Mathematica 146 92 chars (score 2130/92 = 23.15)
Shorter Version (92 chars)
This palindrome has the characters grouped,
&quot;&quot;&lt;&gt;{s=({#[[1]],Length@#~Quotient~2}&amp;/@ Gather@Characters@t)
/.{c_,n_}:&gt;c~Table~{n},Reverse@s}


Longer Version (146 chars)
This will return a maximum length, randomized palindrome from t.
Because capital letters are equivalent to lowercase letters, I converted all capitals to lower case.  (This can be changed if necessary.)
f@t_ := &quot;&quot; &lt;&gt; Join[s = RandomSample[ Flatten[({#[[1]], Quotient[Length[#], 2]} &amp; /@ 
     Gather[Characters@ToLowerCase@t]) /. {c_, n_} :&gt; ConstantArray[c, n]]], Reverse@s]

Example:
When t is the suggested, Lorem ipsum, text.  (Ignore line returns; all line returns were generated via the SE editor.)

&quot;ti,iopexri  rpiuu opaat tismimetnesa lvuot oiaiu oaaittcoar nc
muapua elhpibemu utin ia f  ihide sdourgeeic e  oaasa.marsae dstircd
ci ndn   rs t egoaiq.aeatntreusng xi a lumalnoiieqqeq cc otiueasniieu
nrpupdlmnai o cdsm t gt.iccmittli i t tu.rust.li maui bea gqiceeo
pncu eonttecvtutqun eaaariusoquppsedlqu scrddmt esiafidurs  hitlpna
nlamltire ivmumbabi nbuderup td x uuualsoq.eiib li olel ru aeelau
idbc lrop iil ssur anda o scnmsr ,m uri,teo
esmiaveuomrt ldqqaid ihi snsr   spueeoevcre oe
msirulaleaisormm.oicolarsstteo td aatncn ieqrsuam boid te utcf eccp
siacu m etnqutlacniiereltiulqemltaqx a
qtdlxmliibileoheesimittlusqemooamuiippeaiilcgudsatfsiemamsc irn
rsgoi, ie
nmteiaiiptraned alsomsui noru ic,mditi ic ouud oadmv iudinrfuludet
eeiidueel nndaemcrepnioe sials unetuamconn,i
ubpo eiu ei dsn equi,ue ostmp udiatqu dalmau nueeiit ln e mioancteop
ntiiao ts noeefubtefrit ldeop earnmsm oas
d.catirotulvliodiellmesurotiomsmduia.nauenb iuiroimduriohs.lrndsaroc
t inidrssq apeuionnlaa eqdroounosmotidr arxr o taouarut  ussce uamae
is.dcadaimuoaprad iifl  i  lmml  i  lfii darpaoumiadacd.si eamau
ecssu  turauoat o rxra rditomsonuoordqe aalnnoiuepa qssrdini t
corasdnrl.shoirudmioriui bneuan.aiudmsmoitorusemlleidoilvlutoritac.d
sao msmnrae poedl tirfetbufeeon st oaiitn poetcnaoim e nl tiieeun
uamlad uqtaidu pmtso eu,iuqe nsd ie uie opbu
i,nnocmautenu slais eoinpercmeadnn leeudiiee tedulufrnidui vmdao duuo
ci itidm,ci uron iusmosla denartpiiaietmn
ei ,iogsr nri
csmameisftasdugcliiaeppiiumaoomeqsulttimiseehoelibiilmxldtq a
xqatlmeqluitlereiincaltuqnte m ucais pcce fctu et diob mausrqei
ncntaa dt oettssralocio.mmrosiaelalurism eo ercveoeeups   rsns ihi
diaqqdl trmouevaimse
oet,iru m, rsmncs o adna russ lii porl cbdi  ualeea ur lelo il
biie.qoslauuu x dt puredubn ibabmumvi eritlmaln anpltih  srudifaise
tmddrcs uqldesppuqosuiraaae nuqtutvcettnoe ucnp oeeciqg aeb iuam
il.tsur.ut t i ilttimcci.tg t msdc o ianmldpuprn  ueiinsaeuito cc
qeqqeiionlamul a ix gnsuertntaea.qiaoge t sr   ndn ic dcritsd
easram.asaao  e cieegruods edihi  f ai nitu umebiphle aupaum cn
raocttiaao uiaio touvl asentemimsit taapo uuipr  irxepoi,it&quot;