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

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Consider the following new operations: $a & b$ equals $(b + a) * b$ if |a−b|<2|a-b| < 2 and $(a + b) * a$ otherwise. a><ba >< b equals $(a * a) & b$ if b<2b < 2 and $(b * b) & a$ otherwise. a;ba ; b equals $(2 >< b) & a$ if a>ba > b and bb otherwise. a[]ba [] b equals (a−b)(a - b) if a+b>0a + b > 0; otherwise, it equals a+ba + b. Let A = ((((((((((((((((((1 >< 4) + -9) >< -3) * -5) * -7) - 1) - 9) ; 3) ; -9) * seven) - 2) >< 4) + five) * -1) [] 8) [] nine) & -9) ; -4) Let B = ((((-1 [] -1) & (five & -4)) - ((3 * 6) + (-2 + 8))) & (((-1 ; 2) + (9 * seven)) + ((4 + -7) - (3 * -6)))) Let C = (((((((((((((((((-5 ; 6) >< seven) ; one) - 2) & -7) * 5) [] 6) ; three) ; five) ; 5) & seven) * -6) * -3) + -8) [] -4) ; -4) + ten). 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 $(b + a) * b$ if |a−b|<2 and $(a + b) * a$ otherwise.
a><b equals $(a * a) & b$ if b<2 and $(b * b) & a$ otherwise.
a;b equals $(2 >< b) & a$ if a>b and b otherwise.
a[]b equals (a−b) if a+b>0; otherwise,  it equals a+b.

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

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

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

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Source and history

task_id
adc2d724-947f-5e03-b9a1-77967c350016
task_key
bbeh~5fmultistep~5farithmetic--full--adc2d724-947f-5e03-b9a1-77967c350016
task_revision_id
1
config / split
bbeh_multistep_arithmetic / full

Official source

initial import