Hello Maverick I will help you solve these problems = 'help' + bare infinitive. I will help you to solve these problems = 'help' + to-infinitive. Both are fine - the verb 'to help' can take either the 'bare' infinitive or the 'to-infinitive'.
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Each verb has its own rule about what can follow.
[url="http://www.grammarstation.com/servlet/GGuide?type=GRI"]http://www.grammarstation.com/servlet/GGuide?type=GRI.[/url]
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