603*(1812:2)*30-(790*970-92142:6)

Let's break down the expression step by step:

1. Calculate \(1812:2\): \[ 1812 \div 2 = 906 \]

2. Now substitute this back into the expression: \[ 603 \times 906 \times 30 - (790 \times 970 - 92142:6) \]

3. Calculate \(92142:6\): \[ 92142 \div 6 = 15357 \]

4. Now substitute this value back: \[ 603 \times 906 \times 30 - (790 \times 970 - 15357) \]

5. Calculate \(790 \times 970\): \[ 790 \times 970 = 765300 \]

6. Now substitute this into the expression: \[ 603 \times 906 \times 30 - (765300 - 15357) \]

7. Calculate \(765300 - 15357\): \[ 765300 - 15357 = 749943 \]

8. Now the expression becomes: \[ 603 \times 906 \times 30 - 749943 \]

9. Calculate \(603 \times 906\): \[ 603 \times 906 = 546918 \]

10. Then calculate \(546918 \times 30\): \[ 546918 \times 30 = 16407540 \]

11. Finally, subtract \(749943\) from \(16407540\): \[ 16407540 - 749943 = 15657697 \]

Thus, the final answer is: \[ \boxed{15657697} \]