Solve {l}{35+32-11*3+7*8-19-5*6+6*2}{47-4*4+4*5*3+1*8+7-15*5}

$$\left. \begin{array} { l } { 35 + 32 - 11 \times 3 + 7 \times 8 - 19 - 5 \times 6 + 6 \times 2 } \\ { 47 - 4 \times 4 + 4 \times 5 \times 3 + 1 \times 8 + 7 - 15 \times 5 } \end{array} \right.$$

Sort

$$31,53$$

Solution Steps

Add 35 and 32 to get 67.

$$sort(67-11\times 3+7\times 8-19-5\times 6+6\times 2,47-4\times 4+4\times 5\times 3+1\times 8+7-15\times 5)$$

Multiply 11 and 3 to get 33.

$$sort(67-33+7\times 8-19-5\times 6+6\times 2,47-4\times 4+4\times 5\times 3+1\times 8+7-15\times 5)$$

Subtract 33 from 67 to get 34.

$$sort(34+7\times 8-19-5\times 6+6\times 2,47-4\times 4+4\times 5\times 3+1\times 8+7-15\times 5)$$

Multiply 7 and 8 to get 56.

$$sort(34+56-19-5\times 6+6\times 2,47-4\times 4+4\times 5\times 3+1\times 8+7-15\times 5)$$

Add 34 and 56 to get 90.

$$sort(90-19-5\times 6+6\times 2,47-4\times 4+4\times 5\times 3+1\times 8+7-15\times 5)$$

Subtract 19 from 90 to get 71.

$$sort(71-5\times 6+6\times 2,47-4\times 4+4\times 5\times 3+1\times 8+7-15\times 5)$$

Multiply 5 and 6 to get 30.

$$sort(71-30+6\times 2,47-4\times 4+4\times 5\times 3+1\times 8+7-15\times 5)$$

Subtract 30 from 71 to get 41.

$$sort(41+6\times 2,47-4\times 4+4\times 5\times 3+1\times 8+7-15\times 5)$$

Multiply 6 and 2 to get 12.

$$sort(41+12,47-4\times 4+4\times 5\times 3+1\times 8+7-15\times 5)$$

Add 41 and 12 to get 53.

$$sort(53,47-4\times 4+4\times 5\times 3+1\times 8+7-15\times 5)$$

Multiply 4 and 5 to get 20. Multiply 1 and 8 to get 8.

$$sort(53,47-4\times 4+20\times 3+8+7-15\times 5)$$

Multiply 4 and 4 to get 16.

$$sort(53,47-16+20\times 3+8+7-15\times 5)$$

Subtract 16 from 47 to get 31.

$$sort(53,31+20\times 3+8+7-15\times 5)$$

Multiply 20 and 3 to get 60.

$$sort(53,31+60+8+7-15\times 5)$$

Add 31 and 60 to get 91.

$$sort(53,91+8+7-15\times 5)$$

Add 91 and 8 to get 99.

$$sort(53,99+7-15\times 5)$$

Add 99 and 7 to get 106.

$$sort(53,106-15\times 5)$$

Multiply 15 and 5 to get 75.

$$sort(53,106-75)$$

Subtract 75 from 106 to get 31.

$$sort(53,31)$$

To sort the list, start from a single element 53.

$$53$$

Insert 31 to the appropriate location in the new list.

$$31,53$$

Evaluate

$$53,\ 31$$