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

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Consider the following new operations: 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 $a * b$. a!ba ! b equals $(b & a) * b$ if |a−b|<2|a-b| < 2 and $(a & b) * a$ otherwise. a><ba >< b equals (a:b)(a : b) if $a & b > 0$; otherwise, it equals −a:−b-a : -b. 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. Let A = (((((((((((((((2 * -9) * -3) : -5) : five) * 2) & -7) & 8) ! -2) : -6) + -6) & -3) * -9) & -6) : seven) >< -9) Let B = ((((-9 + -10) * (3 * -4)) [] ((six * -6) ! (-10 : -1))) : (((5 : -10) ! (7 - -3)) - ((-4 - -9) >< (1 >< 3)))) Let C = (((((((((((((ten ! -9) * -2) & ten) [] four) : -5) [] -2) [] four) + -10) * -4) + one) [] -4) & two) >< 3). 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−a)+b if b<2 and (b−b)+a otherwise.
$a & b$ equals (a−b) if a+b>0; otherwise,  it equals $a * b$.
a!b equals $(b & a) * b$ if |a−b|<2 and $(a & b) * a$ otherwise.
a><b equals (a:b) if $a & b > 0$; otherwise,  it equals −a:−b.
a[]b equals min(a,b) if either a or b is prime and max(a,b) otherwise.

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

$a : b$ equals $(a - a) + b$ if $b < 2$ and $(b - b) + a$ otherwise.
$a & b$ equals $(a - b)$ if $a + b > 0$; otherwise,  it equals $a * b$.
$a ! b$ equals $(b & a) * b$ if $|a-b| < 2$ and $(a & b) * a$ otherwise.
$a >< b$ equals $(a : b)$ if $a & b > 0$; otherwise,  it equals $-a : -b$.
$a [] b$ equals $min(a, b)$ if either $a$ or $b$ is prime and $max(a, b)$ otherwise.

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

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Source and history

task_id
c130684d-fae6-51ef-b068-853e2ad2c99f
task_key
bbeh~5fmultistep~5farithmetic--full--c130684d-fae6-51ef-b068-853e2ad2c99f
task_revision_id
1
config / split
bbeh_multistep_arithmetic / full

Official source

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