Find four consecutive integers such that the sum of the second and the fourth is fifty-seven less than thrice the first.

unknown values: x-1,x,x+1,x+2

equation: x+(x+2)=3(x-1)-57

answer: 61; 62; 63; 64

Five times some number is 10 less than the number. What is the number?

unknown values: x

equation: 5*x=x-10

answer: -2.5

Two more than twice a number is equal to the number itself. Find the number.

unknown values: n

equation: 2 + 2*n = n

answer: -2

The sum of two numbers is 1457. Four times the first number minus twice the second number is 8. Find the larger number.

unknown values: y

equation: x + y = 1457

equation: 4*x - 2*y = 8

answer: 970

The sum of two numbers is 3 and twice the larger number is 36 more than three times the smaller number.What is the larger number?

unknown values: m

equation: m+n=3

equation: 2*m = 36 + 3*n

answer: 9

Find three consecutive even integers such that twice the sum of the first and third is four more than three times the second.

unknown values: 2*k-2,2*k,2*k+2

equation: 2*((2*k-2)+(2*k+2))=3*(2*k)+4

answer: 2; 4; 6

For three consecutive integers, when four times the third is subtracted from five times the first, the result is -4. Find the integers

unknown values: x-1,x,x+1

equation: 5(x-1)-4(x+1)=-4

answer: 4; 5; 6

twice the first of three consecutive even integers minus the third equals 36. Find the three integers.

unknown values: 2*x-2,2*x,2*x+2

equation: 2(2*x-2)-(2*x+2)= 36

answer: 40;42;44

If the sum of six consecutive even integers is 450, what is the smallest of the six integers?

unknown values: 2*k-4

equation: (2*k-4)+(2*k-2)+2*k+(2*k+2)+(2*k+4)+(2*k+6)=450

answer: 70

three times the largest of three consecutive odd integers is three less than twice the sum of the other two integers. find the integers.

unknown values: 2*k-1,2*k+1,2*k+3

equation: 3*(2*k+3)=3+2*(2*k+1+2*k-1)

answer: 5;7;9