The sum of a number plus half of itself is 18.75. Find the number.
unknown values: n
equation: n + n/2 = 18.75
answer: 25/2 | 12.5
The sum of 1/9, 2/3, and 5/18 is?
unknown values: x
equation: x = 1/9 + 2/3 + 5/18
answer: 19/18 | 1.056
What number is 17% of 200.
unknown values: n
equation: n = 17/100 * 200
answer: 34
Find the number that is 27 greater than twice the opposite of itself.
unknown values: n
equation: n = 27 + 2(-1 * n)
answer: 9
If A denotes the sum of even integers from 2 to 118 inclusive, and B denotes the sum of odd integers from 3 to 119 inclusive, what is the value of B-A?
unknown values: x
equation: a = (2+118)((118-2)/2+1)/2
equation: b = (3+119)((119-3)/2+1)/2
equation: x = b - a
answer: 59
Find two integers such that their sum is -1 and the sum of their squares is 61.
unknown values: x,y
equation: x+y=-1
equation: x^2 + y^2 = 61
answer: {5; -6}
the sum of the digits of a two digit number is 13. The number is 4 more than 5 times the unit digit. find the number.
unknown values: n
equation: n = 10*a + b
equation: a + b = 13
equation: n = 4 + 5*b
answer: 49
If y varies inversely as the square of x and y=5 when x=2.5, what is the value of y when x=9?
unknown values: y
equation: 5 * (2.5*2.5) = k
equation: y * (9*9) = k
answer: 125/324 | 0.386
Find three consecutive integers such that five times the third integer equals twice the first integer plus seven more than the second integer.
unknown values: n,n+1,n+2
equation: 5(n+2) = 2*n + (7 + (n+1))
answer: -1; 0; 1
If log 28 = log 4 + log x, what is the value of x?
unknown values: x
equation: log28 = log4 + log(x)
answer: 7