If α and β are the roots of the equation x² + x - 1 = 0, then what is the equation whose roots are and α⁵ and β⁵ ? 

lf p + m = 6 and p³ + m³ = 72, then the value of pm is: 

A tourist spends daily as many rupees as the number of days of his total tour. If his total expenses were ₹ 361, then how many days did his tour last? 

The number of integers in between 100 and 600, which are divisible by 4 and 6 both, is: 

Sum of the factors of 4b²c²-(b²+c²-a²)² is : 

Find the value of a and b if (x-1) and (x+1) are factors of x⁴+ax³-3x²+2x+b

If a-b=1 and a³-b³=61, then the value of ab will be 

If p=99, then the value of p(p²+3p+3) will be