#9458: Bug with variable names in solve()
-------------------------+--------------------------------------------------
   Reporter:  tastalian  |       Owner:  AlexGhitza              
       Type:  defect     |      Status:  new                     
   Priority:  major      |   Milestone:  sage-4.5                
  Component:  algebra    |    Keywords:  var solve name factorial
     Author:             |    Upstream:  N/A                     
   Reviewer:             |      Merged:                          
Work_issues:             |  
-------------------------+--------------------------------------------------
 Some variable names yield strange behavior with the solve() function. Here
 is an example:

 {{{
 ----------------------------------------------------------------------
 | Sage Version 4.4.2, Release Date: 2010-05-19                       |
 | Type notebook() for the GUI, and license() for information.        |
 ----------------------------------------------------------------------
 sage: var('d2 d3 x')
 (d2, d3, x)
 sage: solve((d2+d3)*x==1, x)
 [x == factorial(2*k + 6*n)/(d3*factorial(2*k + 6*n) + factorial(k + 3*n -
 1))]
 }}}

 These factorials are strange. They don't occur with other variable names,
 e.g.,

 {{{
 sage: var('y1 y2 x')
 (y1, y2, x)
 sage: solve((y1+y2)*x==1, x)
 [x == (1/(y1 + y2))]
 }}}

 Documentation for solve() does not mention reserved variable names.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9458>
Sage <http://www.sagemath.org>
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