insolvable
adjective
                                                                                                                            
                                                            in·solv·able
                    
                                                                                                              
                                                                                                                                  (ˌ)in-ˈsäl-və-bəl  
                                                                                                                              
            -ˈsȯl-
                                                      
                                                          
                                
              
          
                                                      : admitting no solution                                      
              
                             
an apparently insolvable problem
                         
                
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  Merriam-Webster unabridged




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