Solve {l}{6-3*2+4*1-5+13-8:4-9*2}{3-[-5*6-4*(12:4-5*2)-24:3]}{2-3*[-2+10-4*(-1+3:3)-8]}

$$\left. \begin{array} { l } { 6 - 3 \cdot 2 + 4 \cdot 1 - 5 + 13 - 8 : 4 - 9 \cdot 2 } \\ { 3 - [ - 5 \cdot 6 - 4 \cdot ( 12 : 4 - 5 \cdot 2 ) - 24 : 3 ] } \\ { 2 - 3 \cdot [ - 2 + 10 - 4 \cdot ( - 1 + 3 : 3 ) - 8 ] } \end{array} \right.$$

Sort

$$-8,2,13$$

Solution Steps

Divide 3 by 3 to get 1.

$$sort(6-3\times 2+4\times 1-5+13-\frac{8}{4}-9\times 2,3-\left(-5\times 6-4\left(\frac{12}{4}-5\times 2\right)-\frac{24}{3}\right),2-3\left(-2+10-4\left(-1+1\right)-8\right))$$

Multiply 3 and 2 to get 6.

$$sort(6-6+4\times 1-5+13-\frac{8}{4}-9\times 2,3-\left(-5\times 6-4\left(\frac{12}{4}-5\times 2\right)-\frac{24}{3}\right),2-3\left(-2+10-4\left(-1+1\right)-8\right))$$

Subtract 6 from 6 to get 0.

$$sort(0+4\times 1-5+13-\frac{8}{4}-9\times 2,3-\left(-5\times 6-4\left(\frac{12}{4}-5\times 2\right)-\frac{24}{3}\right),2-3\left(-2+10-4\left(-1+1\right)-8\right))$$

Multiply 4 and 1 to get 4.

$$sort(0+4-5+13-\frac{8}{4}-9\times 2,3-\left(-5\times 6-4\left(\frac{12}{4}-5\times 2\right)-\frac{24}{3}\right),2-3\left(-2+10-4\left(-1+1\right)-8\right))$$

Add 0 and 4 to get 4.

$$sort(4-5+13-\frac{8}{4}-9\times 2,3-\left(-5\times 6-4\left(\frac{12}{4}-5\times 2\right)-\frac{24}{3}\right),2-3\left(-2+10-4\left(-1+1\right)-8\right))$$

Subtract 5 from 4 to get -1.

$$sort(-1+13-\frac{8}{4}-9\times 2,3-\left(-5\times 6-4\left(\frac{12}{4}-5\times 2\right)-\frac{24}{3}\right),2-3\left(-2+10-4\left(-1+1\right)-8\right))$$

Add -1 and 13 to get 12.

$$sort(12-\frac{8}{4}-9\times 2,3-\left(-5\times 6-4\left(\frac{12}{4}-5\times 2\right)-\frac{24}{3}\right),2-3\left(-2+10-4\left(-1+1\right)-8\right))$$

Divide 8 by 4 to get 2.

$$sort(12-2-9\times 2,3-\left(-5\times 6-4\left(\frac{12}{4}-5\times 2\right)-\frac{24}{3}\right),2-3\left(-2+10-4\left(-1+1\right)-8\right))$$

Subtract 2 from 12 to get 10.

$$sort(10-9\times 2,3-\left(-5\times 6-4\left(\frac{12}{4}-5\times 2\right)-\frac{24}{3}\right),2-3\left(-2+10-4\left(-1+1\right)-8\right))$$

Multiply 9 and 2 to get 18.

$$sort(10-18,3-\left(-5\times 6-4\left(\frac{12}{4}-5\times 2\right)-\frac{24}{3}\right),2-3\left(-2+10-4\left(-1+1\right)-8\right))$$

Subtract 18 from 10 to get -8.

$$sort(-8,3-\left(-5\times 6-4\left(\frac{12}{4}-5\times 2\right)-\frac{24}{3}\right),2-3\left(-2+10-4\left(-1+1\right)-8\right))$$

Multiply -5 and 6 to get -30.

$$sort(-8,3-\left(-30-4\left(\frac{12}{4}-5\times 2\right)-\frac{24}{3}\right),2-3\left(-2+10-4\left(-1+1\right)-8\right))$$

Divide 12 by 4 to get 3.

$$sort(-8,3-\left(-30-4\left(3-5\times 2\right)-\frac{24}{3}\right),2-3\left(-2+10-4\left(-1+1\right)-8\right))$$

Multiply 5 and 2 to get 10.

$$sort(-8,3-\left(-30-4\left(3-10\right)-\frac{24}{3}\right),2-3\left(-2+10-4\left(-1+1\right)-8\right))$$

Subtract 10 from 3 to get -7.

$$sort(-8,3-\left(-30-4\left(-7\right)-\frac{24}{3}\right),2-3\left(-2+10-4\left(-1+1\right)-8\right))$$

Multiply 4 and -7 to get -28.

$$sort(-8,3-\left(-30-\left(-28\right)-\frac{24}{3}\right),2-3\left(-2+10-4\left(-1+1\right)-8\right))$$

The opposite of -28 is 28.

$$sort(-8,3-\left(-30+28-\frac{24}{3}\right),2-3\left(-2+10-4\left(-1+1\right)-8\right))$$

Add -30 and 28 to get -2.

$$sort(-8,3-\left(-2-\frac{24}{3}\right),2-3\left(-2+10-4\left(-1+1\right)-8\right))$$

Divide 24 by 3 to get 8.

$$sort(-8,3-\left(-2-8\right),2-3\left(-2+10-4\left(-1+1\right)-8\right))$$

Subtract 8 from -2 to get -10.

$$sort(-8,3-\left(-10\right),2-3\left(-2+10-4\left(-1+1\right)-8\right))$$

The opposite of -10 is 10.

$$sort(-8,3+10,2-3\left(-2+10-4\left(-1+1\right)-8\right))$$

Add 3 and 10 to get 13.

$$sort(-8,13,2-3\left(-2+10-4\left(-1+1\right)-8\right))$$

Add -2 and 10 to get 8.

$$sort(-8,13,2-3\left(8-4\left(-1+1\right)-8\right))$$

Add -1 and 1 to get 0.

$$sort(-8,13,2-3\left(8-4\times 0-8\right))$$

Multiply 4 and 0 to get 0.

$$sort(-8,13,2-3\left(8-0-8\right))$$

Subtract 0 from 8 to get 8.

$$sort(-8,13,2-3\left(8-8\right))$$

Subtract 8 from 8 to get 0.

$$sort(-8,13,2-3\times 0)$$

Multiply 3 and 0 to get 0.

$$sort(-8,13,2-0)$$

Subtract 0 from 2 to get 2.

$$sort(-8,13,2)$$

To sort the list, start from a single element -8.

$$-8$$

Insert 13 to the appropriate location in the new list.

$$-8,13$$

Insert 2 to the appropriate location in the new list.

$$-8,2,13$$

Evaluate

$$-8,\ 13,\ 2$$