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