capable of solving vs capable of solve

Some examples from the web:

• Machine capable of solving Abel's formula that is alive and can overcome 'algorithm absurd'.
• This technology is capable of solving many problems caused by water shortage and drought.
• If you are capable of solving the following puzzle, which I don't doubt, you will be invited to a weekend gathering with the most ingenious mathematical minds.
• This is just another decoy being waved in front of public opinion in Europe in order to deceive people into thinking that Europe is capable of solving their problems.
• But if Turkey is not capable of solving the problem itself by peaceful means, then it has neither the legitimacy nor the right to take action and organise activities in another country.
• Given that the Spanish Government is not capable of solving the problem, as the level of unemployment continues to rise, what action is the Commission taking to tackle the worrying level of unemployment in Spain?
• Recommends that higher education institutions should, as a matter of priority, develop interdisciplinary programmes on the borders between sciences in order to train specialists capable of solving the most complex problems facing the world today;
• I also think that we are not currently fulfilling our responsibilities if we are not capable of solving this problem.
• There is neither a European nor an Israeli policy, with Israel increasingly sinking back into regionalism, no longer capable of solving problems from a broader perspective.
• But we must be careful not to do as we did this morning and talk as though we alone at EU level are capable of solving the problem of unemployment.
• It took, it took that naiveté, that maybe these were problems we were capable of solving at that time.
• The banking crisis is a good current example of what happens if we omit to solve small problems we are capable of solving, if we wait too long: we find ourselves overcome by a giant wave of almost tsunami proportions.
• Sooner or later - sooner better than later - the country should be capable of solving its minority problems and creating a society where all people, regardless of the language they speak, subscribe loyally to the principles of democracy and the rule of law.
• Calls on the Commission to make a proposal - together with the European Space Agency - capable of solving the problem of better public governance by ensuring clear political responsibility and leadership on the part of the Commission;
• Calls on the Commission to make a proposal - together with ESA - capable of solving the problem of better public governance by ensuring clear political responsibility and leadership on the part of the Commission;
• Calls on the Commission to make a proposal - together with the European Space Agency - capable of solving the problem of better public governance by ensuring clear political responsibility and leadership on the part of the Commission;
• Capable of solving even the thorniest Of romantic problems.
• This Parliament's motion for a resolution has been very attentive to these difficulties, making proposals capable of solving them to the Commission and setting reasonable deadlines for making the necessary changes.
• Recommends that higher education institutions should, as a matter of priority, develop interdisciplinary programmes on the borders between sciences in order to train specialists capable of solving the most complex problems facing the world today;

Some examples from the web:

• They are also capable of learning how to solve tasks for reward.
• I know what you're capable of, Richard Castle, how you solve murders.
• The justification for building the A-48 seems to be the need to solve congestion problems which would only occur during holiday periods, traffic which the A-381 is currently capable of absorbing.
• The banking crisis is a good current example of what happens if we omit to solve small problems we are capable of solving, if we wait too long: we find ourselves overcome by a giant wave of almost tsunami proportions.
• This mind is capable of advanced multitasking.
• Viruses are not capable of complex thought.
• Britain is not capable of getting involved.
• You saw firsthand what Inhumans were capable of.
• And I thought narcissistic sociopaths weren't capable of self-evaluation.
• She's perfectly capable of murder.
• Right circumstances, everyone's capable of murder.
• I cannot believe Caroline is capable of wilful deceit.
• Males seek mates capable of nursing offspring.
• Our military is entirely capable of handling this situation.
• Jesse was capable of working under my supervision.
• Sinornithosaurus, more than capable of stealing prey.
• Imagine finding a woman capable of love.
• - I like only men capable of making follies.
• You are thought capable of bearing sons.
• - And a dialing crystal capable of...