Solve (x² – 5x + 6) / (x – 1) ≤

When a number is divided by 23, the quotient obtained is 168, and the difference between the quotient and the remainder is 152. Determine the number.

An eight-digit number, 81x3y72 is divisible by 72. Find the maximum possible value of x + y.

If 45780x52 is divisible by 72, then find the sum of all possible values of 'x'.

Determine the remainder when 44¹² is divided by 7?

If the seven-digit number 5728p9 is exactly divisible by 11, then what is the value of (11 p), where p > 0?

When a number is divided by 19, the quotient is 145, and the difference between the quotient and the remainder is 134. Find the number.

What is the value of (2² + 3²) × (4³ + 5³) ÷ (6⁴)?

How many factors of 2³ × 3³ × 5⁴ × 7³ are divisible by 50 but not by 100.

Find the largest 4-digit number that is exactly divisible by 27 and 45.