Five times the first of three consecutive even integers is four less than three times the third integer. Find the smallest even integer

unknown values: 2*k-2

equation: 5(2*k-2) = 3(2*k+2)-4

answer: 4

Find three consecutive integers such that 3 times the first integer plus the second integer minus 2 times the third integer is 9.

unknown values: k,k+1,k+2

equation: 3*k + (k+1) - 2(k+2)=9

answer: 6; 7; 8

four times the smallest of three consecutive odd integers is five more than three times the largest. What is the sum of these consecutive odd integers?

unknown values: x

equation: x = (2*k+1) + (2*k+3) + (2*k+5)

equation: 4(2*k+1) = 5 + 3(2*k+5)

answer: 57

Three times the opposite of a number is 40 greater than 5 times number. What is the number?

unknown values: n

equation: 3((-1)*n) = 40 + 5*n

answer: -5

Find a number that is 32 more than its opposite

unknown values: n

equation: n = -1 * n + 32

answer: 16

the sum of a number and three times that number is 720. what is the number

unknown values: x

equation: x + 3*x = 720

answer: 180

The sum of a number and seven times the number is 112. What is the number?

unknown values: x

equation: x + 7*x = 112

answer: 14

If 4a+3b=27 and 3a+4b=29, then 7a+7b/2=?

unknown values: (7*a+7*b)/2

equation: 4*a+3*b=27

equation: 3*a+4*b=29

answer: 38.5 | 77/2

if the difference between the smallest and the largest of five consecutive odd numbers is t, what is t-2

unknown values: t-2

equation: (2*k+9) - (2*k+1) = t

answer: 6

find five consecutive odd integers such that the sum of the first and fifth is one less than three times the fourth

unknown values: 2*k+1,2*k+3,2*k+5,2*k+7,2*k+9

equation: (2*k+1) + (2*k+9) = 3(2*k+7) - 1

answer: -9; -7; -5; -3; -1