{"raw_statement":[{"iden":"statement","content":"To solve this task you should either solve the given equation or listen to your heart.\n\nFind an integer $x$ such that $$ \\bigg(\\sqrt{x-3} - \\sqrt[3]{\\frac{3x+2}{2}}\\bigg)^7 = \\bigg(x - \\sqrt{\\frac{x^2-1984}{5}}\\bigg)^3. $$ It is guaranteed that this equation has only one integer solution $x$.\n\nOutput the integer solution $x$ of the equation.\n\n"},{"iden":"output","content":"Output the integer solution $x$ of the equation."}],"translated_statement":null,"sample_group":[],"show_order":[],"formal_statement":"Find integer $ x $ such that  \n$$\n\\left( \\sqrt{x - 3} - \\sqrt[3]{\\frac{3x + 2}{2}} \\right)^7 = \\left( x - \\sqrt{\\frac{x^2 - 1984}{5}} \\right)^3.\n$$","simple_statement":"Find the integer x that satisfies:  \n(√(x−3) − ∛((3x+2)/2))⁷ = (x − √((x²−1984)/5))³  \n\nThere is only one integer solution. Output it.","has_page_source":false}