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We could solve a problem, obviously. Is it possible to use "break", "beat", "hit", "crack" with the meaning of "solve"? I'm trying to find some more emotional equivalent.

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closed as not constructive by Kris, Matt E. Эллен, tchrist, aedia λ, coleopterist Mar 21 '13 at 15:07

As it currently stands, this question is not a good fit for our Q&A format. We expect answers to be supported by facts, references, or expertise, but this question will likely solicit debate, arguments, polling, or extended discussion. If you feel that this question can be improved and possibly reopened, visit the help center for guidance.If this question can be reworded to fit the rules in the help center, please edit the question.

Go search the corpora and rank the words fitting in that slot. – tchrist Mar 21 '13 at 13:56
One could also climax with a problem, given a certain emotional involvement – SmokerAtStadium Mar 21 '13 at 14:03
I avoid problems. – coleopterist Mar 21 '13 at 14:05
Please do not ask open ended question where all answers are equally valid. If possible, please can you edit your question, so that it is asking for something that isn't just a list of words. – Matt E. Эллен Mar 21 '13 at 14:16
up vote -1 down vote accepted

overcome : 2. To prevail over; surmount

Example usages from Wordnik:

“In fact, the very first hurdle most writers have to overcome, is to shout down the voice in their own head that tells them that their writing is worthless.”
The Harshest Critic « Write Anything

“Of course one problem we're going to have to overcome is that while a psychiatrist may excel in what they do in the real world, they're probably not going to be very good at playing World of Warcraft.”
Boing Boing

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We could clear up a problem. Although, are you looking for just one word?

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