Components
解く is an exact match with one form of the following word:
解く
BOOST
Reading : とく   
'ku' godan verb, transitive verb
1. to untie; to unfasten; to unwrap; to undo; to unbind; to unpack
2. to unsew; to unstitch
3. to solve; to work out; to answer
4. to dispel (misunderstanding, etc.); to clear up; to remove (suspicion); to appease
5. to dissolve (a contract); to cancel; to remove (a prohibition); to lift (a ban); to raise (a siege)
6. to release (from duty); to relieve; to dismiss
7. to comb (out); to card; to untangle (hair)  (see also: 梳く:すく)
My mastery:
My current mastery of 解く:
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My flashcards:
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Usefulness and usage:
Kanshudo usefulness level: 5 (among the 10,000 most useful words in Japanese)
• Kanshudo usefulness level is based on a usefulness score of 93,400 which gives a rank of 7,107
解く is the most useful form. 1 additional form is shown below.
This word is a member of our collection of the 10,000 most useful words in Japanese:
• This form is used about 70% of the time
• Google Japan frequency rank: 44,000 (about 11,700,000 results)
• This form appears in Wikipedia's list of JLPT N3 vocabulary (see JLPT collections)
• iknow! Core 6000 rank: 3517 (see iKnow! collections)
• Routledge most useful 5000 words rank: 3070
• This form appears in the 1998 'Ichimango goi bunruishuu' frequent word list by Senmon Kyouiku
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Example sentences:
この
すうがく
数学
もんだい
問題
わたし
かんたん
簡単
ことできない
I can't figure out this mathematics problem easily.
あに
その
ふくざつ
複雑
もんだい
問題
ことできなかった
My brother could not solve the complicated problem.
その
しょうねん
少年
そのクイズ
ほね
った

The boy took great pains to solve the quiz.
Useful expressions:
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とく
BOOST
My flashcards:
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Usefulness and usage:
• This form is used about 30% of the time
• Google Japan frequency rank: 71,000 (about 4,270,000 results)
• This form appears in the 1998 'Ichimango goi bunruishuu' frequent word list by Senmon Kyouiku
VIEW INFLECTIONS
カイ   ゲ   と to untie, solve, resolve   とける to come undone, disappear   とかす to melt, dissolve   
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カク   corner; horn   かど corner   つの horn   
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corner
ヨウ   もちいる to use   
トウ   かたな sword   
ギュウ   うし cow   
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