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

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input

Consider the following new operations: 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. a[]ba [] b equals (a:a);b(a : a) ; b if b<2b < 2 and (b:b);a(b : b) ; a otherwise. $a @ b$ equals (a:b)(a : b) if a−b>0a - b > 0; otherwise, it equals $a * b$. Let A = (((((((((((((two + 4) : -10) ; 5) ; 6) + -1) @ 6) + -5) * -1) @ 6) @ 8) + -6) [] 9) ; -3) Let B = (((((((((((((((((((((-2 * -6) : -2) @ -8) : 5) ; 3) * -1) : -2) * two) @ -4) [] -8) @ 7) - eight) ; 1) [] -3) @ -9) * -1) : nine) [] two) : -8) @ 8) [] -1) Let C = ((((one : -10) [] (-7 * four)) @ ((nine : ten) - (-8 + -10))) + (((-8 * six) : (1 : two)) @ ((-8 - -8) * (-5 [] -9)))). 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 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.
a[]b equals (a:a);b if b<2 and (b:b);a otherwise.
$a @ b$ equals (a:b) if a−b>0; otherwise,  it equals $a * b$.

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

$a ; b$ 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 $a + b$.
$a [] b$ equals $(a : a) ; b$ if $b < 2$ and $(b : b) ; a$ otherwise.
$a @ b$ equals $(a : b)$ if $a - b > 0$; otherwise,  it equals $a * b$.

Let A = (((((((((((((two + 4) : -10) ; 5) ; 6) + -1) @ 6) + -5) * -1) @ 6) @ 8) + -6) [] 9) ; -3)
Let B = (((((((((((((((((((((-2 * -6) : -2) @ -8) : 5) ; 3) * -1) : -2) * two) @ -4) [] -8) @ 7) - eight) ; 1) [] -3) @ -9) * -1) : nine) [] two) : -8) @ 8) [] -1)
Let C = ((((one : -10) [] (-7 * four)) @ ((nine : ten) - (-8 + -10))) + (((-8 * six) : (1 : two)) @ ((-8 - -8) * (-5 [] -9)))).
Compute A + B - C. Your final answer must be in number form.

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Source and history

task_id
32f14ab9-a068-5fb1-8bf2-3697e21bb969
task_key
bbeh~5fmultistep~5farithmetic--full--32f14ab9-a068-5fb1-8bf2-3697e21bb969
task_revision_id
1
config / split
bbeh_multistep_arithmetic / full

Official source

initial import