Solve {l}{32:[14:(1-3)-3*3]-3[(0-10):2+3]}{(26-16:2)(-13+4*3)}{(8*6-16):(-4-2*2)}

$$\left. \begin{array} { l } { 32 : [ 14 : ( 1 - 3 ) - 3 \cdot 3 ] - 3 [ ( 0 - 10 ) : 2 + 3 ] } \\ { ( 26 - 16 : 2 ) ( - 13 + 4 \cdot 3 ) } \\ { ( 8 \cdot 6 - 16 ) : ( - 4 - 2 \cdot 2 ) } \end{array} \right.$$

Sort

$$-18,-4,4$$

Solution Steps

Subtract 3 from 1 to get -2.

$$sort(\frac{32}{\frac{14}{-2}-3\times 3}-3\left(\frac{0-10}{2}+3\right),\left(26-\frac{16}{2}\right)\left(-13+4\times 3\right),\frac{8\times 6-16}{-4-2\times 2})$$

Divide 14 by -2 to get -7.

$$sort(\frac{32}{-7-3\times 3}-3\left(\frac{0-10}{2}+3\right),\left(26-\frac{16}{2}\right)\left(-13+4\times 3\right),\frac{8\times 6-16}{-4-2\times 2})$$

Multiply 3 and 3 to get 9.

$$sort(\frac{32}{-7-9}-3\left(\frac{0-10}{2}+3\right),\left(26-\frac{16}{2}\right)\left(-13+4\times 3\right),\frac{8\times 6-16}{-4-2\times 2})$$

Subtract 9 from -7 to get -16.

$$sort(\frac{32}{-16}-3\left(\frac{0-10}{2}+3\right),\left(26-\frac{16}{2}\right)\left(-13+4\times 3\right),\frac{8\times 6-16}{-4-2\times 2})$$

Divide 32 by -16 to get -2.

$$sort(-2-3\left(\frac{0-10}{2}+3\right),\left(26-\frac{16}{2}\right)\left(-13+4\times 3\right),\frac{8\times 6-16}{-4-2\times 2})$$

Subtract 10 from 0 to get -10.

$$sort(-2-3\left(\frac{-10}{2}+3\right),\left(26-\frac{16}{2}\right)\left(-13+4\times 3\right),\frac{8\times 6-16}{-4-2\times 2})$$

Divide -10 by 2 to get -5.

$$sort(-2-3\left(-5+3\right),\left(26-\frac{16}{2}\right)\left(-13+4\times 3\right),\frac{8\times 6-16}{-4-2\times 2})$$

Add -5 and 3 to get -2.

$$sort(-2-3\left(-2\right),\left(26-\frac{16}{2}\right)\left(-13+4\times 3\right),\frac{8\times 6-16}{-4-2\times 2})$$

Multiply 3 and -2 to get -6.

$$sort(-2-\left(-6\right),\left(26-\frac{16}{2}\right)\left(-13+4\times 3\right),\frac{8\times 6-16}{-4-2\times 2})$$

The opposite of -6 is 6.

$$sort(-2+6,\left(26-\frac{16}{2}\right)\left(-13+4\times 3\right),\frac{8\times 6-16}{-4-2\times 2})$$

Add -2 and 6 to get 4.

$$sort(4,\left(26-\frac{16}{2}\right)\left(-13+4\times 3\right),\frac{8\times 6-16}{-4-2\times 2})$$

Divide 16 by 2 to get 8.

$$sort(4,\left(26-8\right)\left(-13+4\times 3\right),\frac{8\times 6-16}{-4-2\times 2})$$

Subtract 8 from 26 to get 18.

$$sort(4,18\left(-13+4\times 3\right),\frac{8\times 6-16}{-4-2\times 2})$$

Multiply 4 and 3 to get 12.

$$sort(4,18\left(-13+12\right),\frac{8\times 6-16}{-4-2\times 2})$$

Add -13 and 12 to get -1.

$$sort(4,18\left(-1\right),\frac{8\times 6-16}{-4-2\times 2})$$

Multiply 18 and -1 to get -18.

$$sort(4,-18,\frac{8\times 6-16}{-4-2\times 2})$$

Multiply 8 and 6 to get 48.

$$sort(4,-18,\frac{48-16}{-4-2\times 2})$$

Subtract 16 from 48 to get 32.

$$sort(4,-18,\frac{32}{-4-2\times 2})$$

Multiply 2 and 2 to get 4.

$$sort(4,-18,\frac{32}{-4-4})$$

Subtract 4 from -4 to get -8.

$$sort(4,-18,\frac{32}{-8})$$

Divide 32 by -8 to get -4.

$$sort(4,-18,-4)$$

To sort the list, start from a single element 4.

$$4$$

Insert -18 to the appropriate location in the new list.

$$-18,4$$

Insert -4 to the appropriate location in the new list.

$$-18,-4,4$$

Evaluate

$$4,\ -18,\ -4$$