Mathematician

And I did that totally wrong... I am probably too tired to proficiently answer math questions right now.

Well, I did demonstrate how to get the wrong answer, if that's any use.

Not that this will be useful, but:

7 784 068 227 965 013 903 711 526 594 560 867 943 761 141 382 632 346 482 329 813 573 635 396

That really depends on how you define "computer".

(f/g)(x) = f(x)/g(x) = (4x - 5) / 3x

If it needs to be simplified then:

(4/3)x - 5 / 3x

on holiday ellie bought 40 cards

40

she sent 3/8 of them on Wednesday

So if she sent 3/8, then they would be multiplied by the number of cards: 40:

40 * 3/8 = 15

2/5 of the remaining ones on friday

Again, this is multiplication:

15 * 2/5 = 6

I had heard about the spigot formula before. It is definitely an interesting formula.

So you've gone 120 miles, and the total trip is 360 miles, so you've gone 120/360 of the trip.

You can simplify this fraction by dividing the top and the bottom of the fraction by common factors.

I can see that 10 is a common factor, so:

120/360 = (120/10)/(360/10) = 12/36

I can see that 12 is a common factor, so:

12/36 = (12/12)/(36/12) = 1/3

Order of operations is useful here: PEMDAS (Parenthesis, Exponents, Multiplication and Division, Addition and Subtraction.)

((-3) - 3) - 4

So that nested (-3) all by itself is equal to -3:

((-3) - 3) - 4

(-3 - 3) - 4

Then we evaluate the expression inside the parenthesis, (-3 - 3), which equals -6:

(-3 - 3) - 4

(-6) - 4

Then we can turn the (-6) by itself into just plain -6:

(-6) - 4

-6 - 4

And evaluate -6 - 4, which equals -10:

-6 - 4

-10

You simplify an expression by combining all like terms.

For example, given the expression 3x^2 - 2 + 5x + 3 - x^2 + 2x + 13,

you could first combine all the constant terms:

3x^2 - 2 + 5x + 3 - x^2 + 2x + 13

3x^2 + 5x - x^2 + 2x - 2 + 3 + 13

3x^2 + 5x - x^2 + 2x + 14

Then you could combine the x terms:

3x^2 + 5x - x^2 + 2x + 14

3x^2 - x^2 + 5x + 2x + 14

3x^2 - x^2 + 7x + 14

And finally the x^2 terms:

3x^2 - x^2 + 7x + 14

2x^2 + 7x + 14

2x^2 + 7x + 14 is the simplified expression of 3x^2 - 2 + 5x + 3 - x^2 + 2x + 13.

-32^2/5

When there are fractional powers, you evaluate the number to the numerator's (top) power, and then find the denominator's (bottom) root of the number.

Or you can find the root first and then find the power, which is what I will do:

-32^2/5 = (⁵√-32)² = (-2)² = 4

I will answer your question for you...

In the context of Algebra, factor means to find the factors of an expression.

For example, the factors of x^2 + 3x + 2 are (x + 1) and (x + 2).