$734 \overset{1}{+} 2586 \overset{2}{-} 1090 \overset{3}{+} 175 = 3320 - 1090 + 175 = 2230 + 175 = 2405$
1) $\snippet{name: op_column, sign: '+', x: '734', y: '2586', z: '3320'}$;
2) $\snippet{name: op_column, sign: '-', x: '3320', y: '1090', z: '2230'}$;
3) $\snippet{name: op_column, sign: '+', x: '2230', y: '175', z: '2405'}$.

$6400 \overset{1}{:} 16 \overset{2}{*} 50 \overset{3}{:} 125 = 400 * 50 : 125 = 20000 : 125 = 160$
1) $\snippet{name: long_division, x: 6400, y: 16}$;
2) 400 * 50 = 20000;
3) $\snippet{name: long_division, x: 20000, y: 125}$.

$408 \overset{1}{*} 26 \overset{3}{+} 37 \overset{2}{*} 15 = 10608 + 555 = 11163$
1) $\snippet{name: column_multiplication, x: 408, y: 26}$;
2) $\snippet{name: column_multiplication, x: 37, y: 15}$;
3) $\snippet{name: op_column, sign: '+', x: '10608', y: '555', z: '11163'}$.

$819 \overset{2}{-} 735 \overset{1}{:} 21 \overset{3}{+} 206 = 819 - 35 + 206 = 784 + 206 = 990$
1) $\snippet{name: long_division, x: 735, y: 21}$;
2) $\snippet{name: op_column, sign: '-', x: '819', y: '35', z: '784'}$;
3) $\snippet{name: op_column, sign: '+', x: '784', y: '206', z: '990'}$.