Solve (30*(1+5)-80)+(30(2^3+5*2)-80)+(30(3^3+5*3)-80)+(30(4^3+5*4)-80)+(30(5^3+5*5)-80)+(30({6}^3+5*6)-80)

$$(30 \times (1+5)-80)+(30( { 2 }^{ 3 } +5 \times 2)-80)+(30( { 3 }^{ 3 } +5 \times 3)-80)+(30( { 4 }^{ 3 } +5 \times 4)-80)+(30( { 5 }^{ 3 } +5 \times 5)-80)+(30( { 6 }^{ 3 } +5 \times 6)-80)$$

Evaluate

$$15900$$

Solution Steps

Add 1 and 5 to get 6.

$$30\times 6-80+30\left(2^{3}+5\times 2\right)-80+30\left(3^{3}+5\times 3\right)-80+30\left(4^{3}+5\times 4\right)-80+30\left(5^{3}+5\times 5\right)-80+30\left(6^{3}+5\times 6\right)-80$$

Multiply 30 and 6 to get 180.

$$180-80+30\left(2^{3}+5\times 2\right)-80+30\left(3^{3}+5\times 3\right)-80+30\left(4^{3}+5\times 4\right)-80+30\left(5^{3}+5\times 5\right)-80+30\left(6^{3}+5\times 6\right)-80$$

Subtract 80 from 180 to get 100.

$$100+30\left(2^{3}+5\times 2\right)-80+30\left(3^{3}+5\times 3\right)-80+30\left(4^{3}+5\times 4\right)-80+30\left(5^{3}+5\times 5\right)-80+30\left(6^{3}+5\times 6\right)-80$$

Calculate 2 to the power of 3 and get 8.

$$100+30\left(8+5\times 2\right)-80+30\left(3^{3}+5\times 3\right)-80+30\left(4^{3}+5\times 4\right)-80+30\left(5^{3}+5\times 5\right)-80+30\left(6^{3}+5\times 6\right)-80$$

Multiply 5 and 2 to get 10.

$$100+30\left(8+10\right)-80+30\left(3^{3}+5\times 3\right)-80+30\left(4^{3}+5\times 4\right)-80+30\left(5^{3}+5\times 5\right)-80+30\left(6^{3}+5\times 6\right)-80$$

Add 8 and 10 to get 18.

$$100+30\times 18-80+30\left(3^{3}+5\times 3\right)-80+30\left(4^{3}+5\times 4\right)-80+30\left(5^{3}+5\times 5\right)-80+30\left(6^{3}+5\times 6\right)-80$$

Multiply 30 and 18 to get 540.

$$100+540-80+30\left(3^{3}+5\times 3\right)-80+30\left(4^{3}+5\times 4\right)-80+30\left(5^{3}+5\times 5\right)-80+30\left(6^{3}+5\times 6\right)-80$$

Add 100 and 540 to get 640.

$$640-80+30\left(3^{3}+5\times 3\right)-80+30\left(4^{3}+5\times 4\right)-80+30\left(5^{3}+5\times 5\right)-80+30\left(6^{3}+5\times 6\right)-80$$

Subtract 80 from 640 to get 560.

$$560+30\left(3^{3}+5\times 3\right)-80+30\left(4^{3}+5\times 4\right)-80+30\left(5^{3}+5\times 5\right)-80+30\left(6^{3}+5\times 6\right)-80$$

Calculate 3 to the power of 3 and get 27.

$$560+30\left(27+5\times 3\right)-80+30\left(4^{3}+5\times 4\right)-80+30\left(5^{3}+5\times 5\right)-80+30\left(6^{3}+5\times 6\right)-80$$

Multiply 5 and 3 to get 15.

$$560+30\left(27+15\right)-80+30\left(4^{3}+5\times 4\right)-80+30\left(5^{3}+5\times 5\right)-80+30\left(6^{3}+5\times 6\right)-80$$

Add 27 and 15 to get 42.

$$560+30\times 42-80+30\left(4^{3}+5\times 4\right)-80+30\left(5^{3}+5\times 5\right)-80+30\left(6^{3}+5\times 6\right)-80$$

Multiply 30 and 42 to get 1260.

$$560+1260-80+30\left(4^{3}+5\times 4\right)-80+30\left(5^{3}+5\times 5\right)-80+30\left(6^{3}+5\times 6\right)-80$$

Add 560 and 1260 to get 1820.

$$1820-80+30\left(4^{3}+5\times 4\right)-80+30\left(5^{3}+5\times 5\right)-80+30\left(6^{3}+5\times 6\right)-80$$

Subtract 80 from 1820 to get 1740.

$$1740+30\left(4^{3}+5\times 4\right)-80+30\left(5^{3}+5\times 5\right)-80+30\left(6^{3}+5\times 6\right)-80$$

Calculate 4 to the power of 3 and get 64.

$$1740+30\left(64+5\times 4\right)-80+30\left(5^{3}+5\times 5\right)-80+30\left(6^{3}+5\times 6\right)-80$$

Multiply 5 and 4 to get 20.

$$1740+30\left(64+20\right)-80+30\left(5^{3}+5\times 5\right)-80+30\left(6^{3}+5\times 6\right)-80$$

Add 64 and 20 to get 84.

$$1740+30\times 84-80+30\left(5^{3}+5\times 5\right)-80+30\left(6^{3}+5\times 6\right)-80$$

Multiply 30 and 84 to get 2520.

$$1740+2520-80+30\left(5^{3}+5\times 5\right)-80+30\left(6^{3}+5\times 6\right)-80$$

Add 1740 and 2520 to get 4260.

$$4260-80+30\left(5^{3}+5\times 5\right)-80+30\left(6^{3}+5\times 6\right)-80$$

Subtract 80 from 4260 to get 4180.

$$4180+30\left(5^{3}+5\times 5\right)-80+30\left(6^{3}+5\times 6\right)-80$$

Calculate 5 to the power of 3 and get 125.

$$4180+30\left(125+5\times 5\right)-80+30\left(6^{3}+5\times 6\right)-80$$

Multiply 5 and 5 to get 25.

$$4180+30\left(125+25\right)-80+30\left(6^{3}+5\times 6\right)-80$$

Add 125 and 25 to get 150.

$$4180+30\times 150-80+30\left(6^{3}+5\times 6\right)-80$$

Multiply 30 and 150 to get 4500.

$$4180+4500-80+30\left(6^{3}+5\times 6\right)-80$$

Add 4180 and 4500 to get 8680.

$$8680-80+30\left(6^{3}+5\times 6\right)-80$$

Subtract 80 from 8680 to get 8600.

$$8600+30\left(6^{3}+5\times 6\right)-80$$

Calculate 6 to the power of 3 and get 216.

$$8600+30\left(216+5\times 6\right)-80$$

Multiply 5 and 6 to get 30.

$$8600+30\left(216+30\right)-80$$

Add 216 and 30 to get 246.

$$8600+30\times 246-80$$

Multiply 30 and 246 to get 7380.

$$8600+7380-80$$

Add 8600 and 7380 to get 15980.

$$15980-80$$

Subtract 80 from 15980 to get 15900.

$$15900$$

Factor

$$2^{2}\times 3\times 5^{2}\times 53$$