Jabari is thinking of three numbers. The greatest number is twice as big as the least number. The middle number is three more than the least number. The sum of the three numbers is 75. Find the numbers.

unknown values: x,y,z

equation: x = 2*z

equation: y = 3 + z

equation: x + y + z = 75

answer: {36; 21; 18}

find the common difference of an AP whose 1st term is 100 and the sum of whose first six terms is 5 times the sum of the next 6 terms?

unknown values: d

equation: m = 100 + 5*d

equation: n = 100 + 6*d

equation: k = 100 + 11*d

equation: (100 + m) * 6 / 2 = 5 * (n + k) * 6 / 2

answer: -10

Find The sum of all integer multiples of 7 from 7 to 700

unknown values: s

equation: s = (7+700)*((700-7)/7+1)/2

answer: 35350

If 2/3 is 1/2 of 4/5 of a certain number, then that number is what?

unknown values: n

equation: 2/3 = 1/2 * 4/5 * n

answer: 5/3

In an arithmetic sequence, the 7th term minus the 1st term equals 18. The sum of the 1st and 7th term is -2. Find the 6th term.

unknown values: x

equation: a + (7-1)*d - a = 18

equation: a + (7-1)*d + a = -2

equation: x = a + (6-1)*d

answer: 5

if the product of (2+3), (3+4), and (4+5) is equal to the sum of 40 and x then x=?

unknown values: x

equation: (2+3)(3+4)(4+5) = 40 + x

answer: 275

One number is seven more than twice another. If their sum is decreased by nine, the result is thirteen. Find the numbers.

unknown values: x,y

equation: x = 7 + 2*y

equation: (x+y) - 9 = 13

answer: {17; 5}

A certain number has four digits, the sum of which is 10. If you exchange the first and the last digits, the new number will be 2997 larger. If you exchange the middle two digits of the original number, the new number will be 90 larger. This last enlarged number plus the original number equals 2558. What is the original number?

unknown values: n

equation: n = 1000*a + 100*b + 10*c + d

equation: a + b + c + d = 10

equation: 1000*d + 100*b + 10*c + a = 2997 + n

equation: 1000*a + 100*c + 10*b + d = 90 + n

equation: (90 + n) + n = 2558

answer: 1234

the sum of my two digits is 13. I am not divisible by 2. List all the possible numbers I could be.

unknown values: n

equation: n = 10*a + b

equation: a + b = 13

equation: is_odd(n)

equation: is_digit(a)

equation: is_digit(b)

answer: 49 or 67 or 85

what is the sum of the roots of the equation?: 2x^2+6x-7=0?

unknown values: s

equation: s = -1 * 6 / 2

answer: -3