The word unsystematic is playable in Words With Friends™, no blanks required. Because it is longer than 7 letters, you would have to play off an existing word or do it in several moves.
Words With Friends™ Letter Score: 22
Highest Scoring Words With Friends™ Play In The Letters unsystematic
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Seven Letter Word Alert: (76 words)
acumens, acutest, amenity, amnesic, amnesty, anytime, ascents, ascites, attunes, aunties, autists, caesium, caseins, catmint, cesiums, cinemas, cyanise, cyanite, cystine, ecstasy, emacity, encysts, eustacy, eustasy, icemans, icemass, incests, inmates, inseams, insects, instate, minuets, minuses, minutes, miscast, miscues, miscuts, misseat, mistune, mittens, munites, mutants, mutates, mystics, nematic, nictate, nutcase, nutmeat, sanctum, sanctus, satiety, secants, seitans, sestina, sinuate, situate, smitten, stamens, stances, statice, statics, statins, statism, statues, stymies, sustain, tautens, testacy, tetanic, tetanus, tissuey, tsunami, unmates, unmessy, unseats, untasty