Addition

1+2

3 plus 4

Multiplication

3 * 2 = 6

2 ⋅ 2 = 4

3 × 3 = 9

9 times 11 = 99

Subtraction

4-5

18−16

3 minus 4 = -1

Division

4/5

7÷12

2|4

3 divides 9

Exponentiation

3^4

13²

2 cubed = 8

Square Root

√2

sqrt(−5)

i = sqrt(-1)

Polynomials

= 144x²y² + 12x - 12y - 1

= (−1 + θ)(3 + θ)(13 + θ)(104 + θ)

δ = 2051543129764485 × θ² + 15388377355799440 × θ + 24765692886531904

Misc

7 ⩭ 3 (mod 4)

21 ≡ 1 (mod 4)

27 ≢ 1 (mod 8)

3 ≠ 4

7 ∈ Q adjoin θ

1 ∉ ℤ/2ℤ

Z/7Z

Z/7Z ≅ C₇