Turing Research Analyst Math interview questions

Sequence question which include a square .

1. Tell me about yourself. 2. If f(x+1/x) = x^3 + 1/x^3 what is f(x)? 3. If a and b are the roots of x^2-2x+120=0, what is (a^2-2a)-(b^2-2b)? 4. Find the area between |x| + |y| = 4 and coordinate axes. 5. Find the area between |2x+3y+4| + |3x-2y+8| = 4, 2x+3y+4=0, and 3x-2y+8=0. 6. Find the last digit of a) 1! + 2! + ... + 10! b) 2023^2024 + 2024^2023 7. Find the number of 4-letter words created using the letters in TURING a) letter repetition is allowed b) letter repetition is not allowed 8.log i=? 9. Draw the graph of e^|x|. 10. sin10*cos40*sin70=?