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BIG-Bench Extra Hard (BBEH) / Consider the following new operations:

Problem

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input

Consider the following new operations: a][ba ][ b equals (a+b)(a + b) if $a * b > 0$; otherwise, it equals a−ba - b. $a & b$ equals $a * b$ if gcd(a,b)==1gcd(a, b) == 1 and gcd(a,b)gcd(a, b) otherwise, where gcd stands for greatest common divisor. a;ba ; b equals $(2 + b) & a$ if a>ba > b and bb otherwise. a[]ba [] b equals min(a,b)min(a, b) if either aa or bb is prime and max(a,b)max(a, b) otherwise. a!ba ! b equals (a−b)(a - b) if a−b>0a - b > 0; otherwise, it equals a+ba + b. Let A = ((((((((((((((((((((3 ; -3) ; 7) ! -1) + 5) & -5) ; -10) & -9) ; -6) [] -5) ! 4) + -6) [] -5) * -4) & -2) ; -8) ][ five) ; -1) + -8) - -1) ! -2) Let B = (((((((((((((((-3 & seven) - -9) ; -7) + 2) & -9) ; -9) ! 4) - -7) & eight) * 9) & 10) & 9) * five) & two) * -2) Let C = (((((((((((((-9 - -5) ][ 5) * 3) & -4) [] -7) [] -6) ! -4) ][ -2) & 7) + -5) [] ten) ! -1) & 6). Compute A + B - C. Your final answer must be in number form.
Plain-text mathematical notation (without MathML)
Consider the following new operations:

a][b equals (a+b) if $a * b > 0$; otherwise,  it equals a−b.
$a & b$ equals $a * b$ if gcd(a,b)==1 and gcd(a,b) otherwise, where gcd stands for greatest common divisor.
a;b equals $(2 + b) & a$ if a>b and b otherwise.
a[]b equals min(a,b) if either a or b is prime and max(a,b) otherwise.
a!b equals (a−b) if a−b>0; otherwise,  it equals a+b.

Let A = ((((((((((((((((((((3 ; -3) ; 7) ! -1) + 5) & -5) ; -10) & -9) ; -6) [] -5) ! 4) + -6) [] -5) * -4) & -2) ; -8) ][ five) ; -1) + -8) - -1) ! -2)
Let B = (((((((((((((((-3 & seven) - -9) ; -7) + 2) & -9) ; -9) ! 4) - -7) & eight) * 9) & 10) & 9) * five) & two) * -2)
Let C = (((((((((((((-9 - -5) ][ 5) * 3) & -4) [] -7) [] -6) ! -4) ][ -2) & 7) + -5) [] ten) ! -1) & 6).
Compute A + B - C. Your final answer must be in number form.
Original LaTeX notation
Consider the following new operations:

$a ][ b$ equals $(a + b)$ if $a * b > 0$; otherwise,  it equals $a - b$.
$a & b$ equals $a * b$ if $gcd(a, b) == 1$ and $gcd(a, b)$ otherwise, where gcd stands for greatest common divisor.
$a ; b$ equals $(2 + b) & a$ if $a > b$ and $b$ otherwise.
$a [] b$ equals $min(a, b)$ if either $a$ or $b$ is prime and $max(a, b)$ otherwise.
$a ! b$ equals $(a - b)$ if $a - b > 0$; otherwise,  it equals $a + b$.

Let A = ((((((((((((((((((((3 ; -3) ; 7) ! -1) + 5) & -5) ; -10) & -9) ; -6) [] -5) ! 4) + -6) [] -5) * -4) & -2) ; -8) ][ five) ; -1) + -8) - -1) ! -2)
Let B = (((((((((((((((-3 & seven) - -9) ; -7) + 2) & -9) ; -9) ! 4) - -7) & eight) * 9) & 10) & 9) * five) & two) * -2)
Let C = (((((((((((((-9 - -5) ][ 5) * 3) & -4) [] -7) [] -6) ! -4) ][ -2) & 7) + -5) [] ten) ! -1) & 6).
Compute A + B - C. Your final answer must be in number form.

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Source and history

task_id
1b9a2e75-c921-5dc4-a884-9621c58c609e
task_key
bbeh~5fmultistep~5farithmetic--full--1b9a2e75-c921-5dc4-a884-9621c58c609e
task_revision_id
1
config / split
bbeh_multistep_arithmetic / full

Official source

initial import