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What does intractable mean?

Looking for the meaning or definition of the word intractable? Here's what it means.

Adjective
  1. Not tractable; not able to be managed, controlled, governed or directed.
  2. (mathematics) Not able to be solved (of a mathematical problem).
  3. Stubborn; obstinate (of a person).
  4. (medicine) Difficult to treat (of a medical condition).
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Examples
Given the intractable nature of controlling leaks, we need to try remedies that have not been tried before.
People with diabetes may develop a particularly intractable form of disordered eating that is not readily amenable to treatment.
War is further seen as a means of diverting the attention of working people from the intractable social and economic crisis at home.
This problem has grown increasingly intractable because of changing social expectations about parenthood.
For severe intractable cancer pain, more potent long-acting opioids are recommended.
Under those circumstances, it's hard not to simply decide that the problem is intractable and give up.

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