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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 (a+b)(a + b) if a−b>0a - b > 0; otherwise, it equals $a * b$. a:ba : b equals $(2 - b) ~ a$ if a>ba > b and bb otherwise. a][ba ][ b equals $(a * a) : b$ if b<2b < 2 and $(b * b) : a$ otherwise. a;ba ; b equals (b][a)−b(b ][ a) - b if |a−b|<2|a-b| < 2 and (a][b)−a(a ][ b) - a otherwise. Let A = (((((((((((((((eight * -10) ; seven) ][ -6) ; -6) ; 1) ~ -8) ~ -8) ; -2) ~ -6) ; 1) + 5) ; seven) ][ -3) - -7) + -1) Let B = ((((-4 : 4) - (-6 + -8)) : ((6 ~ one) - (eight : 6))) * (((-2 ~ -10) * (-2 : 4)) : ((8 ; eight) : (-10 - -7)))) Let C = ((((-8 * -3) ; (5 ; -3)) : ((10 * -7) + (seven ~ -7))) * (((10 * nine) : (five ; -8)) + ((-5 : -3) * (1 ~ two)))). 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 $(2 - b) ~ a$ if a>b and b otherwise.
a][b equals $(a * a) : b$ if b<2 and $(b * b) : a$ otherwise.
a;b equals (b][a)−b if |a−b|<2 and (a][b)−a otherwise.

Let A = (((((((((((((((eight * -10) ; seven) ][ -6) ; -6) ; 1) ~ -8) ~ -8) ; -2) ~ -6) ; 1) + 5) ; seven) ][ -3) - -7) + -1)
Let B = ((((-4 : 4) - (-6 + -8)) : ((6 ~ one) - (eight : 6))) * (((-2 ~ -10) * (-2 : 4)) : ((8 ; eight) : (-10 - -7))))
Let C = ((((-8 * -3) ; (5 ; -3)) : ((10 * -7) + (seven ~ -7))) * (((10 * nine) : (five ; -8)) + ((-5 : -3) * (1 ~ two)))).
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 $(2 - b) ~ a$ if $a > b$ and $b$ otherwise.
$a ][ b$ equals $(a * a) : b$ if $b < 2$ and $(b * b) : a$ otherwise.
$a ; b$ equals $(b ][ a) - b$ if $|a-b| < 2$ and $(a ][ b) - a$ otherwise.

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

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Source and history

task_id
355d6f73-a84b-56bc-9f7c-0261b7193c0a
task_key
bbeh~5fmultistep~5farithmetic--full--355d6f73-a84b-56bc-9f7c-0261b7193c0a
task_revision_id
1
config / split
bbeh_multistep_arithmetic / full

Official source

initial import