How to say takeo is engrossed in solving mathematical problems. in Japanese

1)タケオno dictionary result, likely a conjigated verbno dictionary result, likely a conjigated verb(int) indicating a subject/yes/indeed/well/ha!/what?/huh?/sigh(n,adj-na) sparse/not closeの(no) (prt) indicates possessive/nominalizes verbs and adjectives/substitutes for "ga" in subordinate phrases/indicates a confident conclusion/ indicates emotional emphasis/indicates question数学数学(suugaku) (n) mathematics/arithmeticの(no) (prt) indicates possessive/nominalizes verbs and adjectives/substitutes for "ga" in subordinate phrases/indicates a confident conclusion/ indicates emotional emphasis/indicates question問題問題(mondai) (n) problem/questionを(wo) (prt) indicates direct object of action/indicates subject of causative expression/indicates an area traversed/indicates time over which action takes place/indicates point of departure or separation of action/indicates object of desire, like, hate,解く解く(toku) (v5k,vt) to untie/to unfasten/to unwrap/to undo/to unbind/to unpack/to unsew/to unstitch/to solve/to work out/to answer/to dispel/to clear up/to remove/to appease/to dissolve/to cancel/to remove/to lift/to raise/to release/to relieve/to dismissのにのに(noni) (prt) although/when/and yet/despite this/in spite of/even though/but even so/but even then/however/nevertheless/for all that/notwithstanding that/while/if only/i wish/i tell you/you should do/in order to熱中熱中(necchuu) (n,vs) going nuts/enthusiasm/zeal/maniaし(shi) (num) 10^24/septillion/quadrillionているている(teiru) (v) an "ing" form of the previous verb。(。) Japanese period "."    
takeo hasono suugaku no mondai wo toku noni necchuu shiteiru 。
Grammer form日常会話 (Casual form)Casual form (nichijoukaiwa)
everyday casual language, commonly used between friends and family.
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