Five times the smallest of three consecutive integers is 10 more than twice the largest. Find the integers.

unknown values: x, y, z

equation: x + 1 = y

equation: y + 1 = z

equation: 5*x = 10 + 2*z

answer: ans_no_result

If the average of 4 and x is equal to the average of 2, 8, and x, what is the value of x?

unknown values: x

equation: (4 + x) / 2 = (2 + 8 + x) / 3

answer: 8

in a sequence of 5 integers the third integer is the sum of the previous two. The fourth integer is the sum of the previous three and the fifth integer is the sum of the previous four. If the sum of the five integers is 248, what's the third integer in the sequence.

unknown values: x

equation: x = m + n

equation: y = m + n + x

equation: z = m + n + x + y

equation: m + n + x + y + z = 248

answer: 31

If f(x) = 3x^2 - Bx + 4 and f(-1) = 12, what is the value of B?

unknown values: b

equation: m = 3*x^2 - b*x + 4

equation: 12 = 3*(-1)^2 - b*(-1) + 4

answer: 5

what two digit number is three times the sum of its digits?

unknown values: n

equation: n = 10*x + y

equation: 10*x + y = 3(x + y)

answer: 27

find a six-digit number in which the first digit is one more than the third, the second digit is one less than the fourth, the fifth digit is one less than the third, and the sixth digit is one more than the fourth. the sum of the second and third digits equals the first. the sum of all digits is 30.

unknown values: m

equation: m = 100000*x + 10000*y + 1000*z + 100*a + 10*b + c

equation: x = z + 1

equation: y = a - 1

equation: b = z - 1

equation: c = a + 1

equation: y + z = x

equation: x + y + z + a + b + c = 30

answer: 918273

Find three consecutive integers with a sum of 267.

unknown values: x, y, z

equation: x + 1 = y

equation: y + 1 = z

equation: x + y + z = 267

answer: 88; 89; 90

the sum of three consecutive integers is 96. find them.

unknown values: x, y, z

equation: x + 1 = y

equation: y + 1 = z

equation: x + y + z = 96

answer: 31; 32; 33

the sum of 3 consecutive numbers is 753. what are these numbers.

unknown values: x, y, z

equation: x + 1 = y

equation: y + 1 = z

equation: x + y + z = 753

answer: 250; 251; 252

The sum of three consecutive numbers is 72, find the three numbers?

unknown values: x, y, z

equation: x + 1 = y

equation: y + 1 = z

equation: x + y + z = 72

answer: 23; 24; 25