Algebraists is a 11 letter English word. It's valid Words with friends word worth 16 points.
You can make 1281 anagrams from letters in algebraists (aabegilrsst).
First recorded in 1665-75; algebra + -ist
The problem is of course (as any algebraist sees at once) a case of "simultaneous simple equations."
Like the great French algebraist, Vieta, from whom he drew much of his inspiration, he was an amateur mathematician.