Celestial objects (like comets, planets and stars) have been observed by civilizations throughout history. Some people viewed these (especially comets and eclipses) as omens of future events while others interpreted them as signs from their gods. Halley's comet orbits the Earth every $76$ years while comet Swift-Tuttle has a $132$-year orbit. If they were to pass by Earth in the same year, about how many years later would they again pass by Earth in the same year?

Evaluate the expression, using the correct order of operations.

$10+12÷2$

Evaluate the expression, using the correct order of operations.

$12-3\times 3+6\times 2$

Evaluate the expression, using the correct order of operations.

$\left(3^3-12\right)÷\left(4^2-1\right)$

Evaluate the expression, using the correct order of operations.

$5\left(3^2-1\right)+7\times 3^2+8$

Evaluate the expression, using the correct order of operations.

$168÷\left(2^4+2^3\right)+11\times \sqrt{169}$

Evaluate the expression, using the correct order of operations.

$2\left(5^2+2\times 4\right)-7\times 8$

Evaluate the expression, using the correct order of operations.

$\frac{4\left(13-8\right)+3\times 4-4^2}{6^2÷\left(2\times 9\right)}$

Evaluate the expression, using the correct order of operations.

$\frac{2^3+21÷3-8÷2}{9^2-7\times 10}$