What is the sum of the consecutive integers from 15 to 55 (inclusive)?

unknown values: x

equation: x = (15 + 55)(55 - 15 + 1)/2

answer: 1435

If every number between 1 and 365 were added together, what would the total be?

unknown values: x

equation: x = (1+365)(365-1+1)/2

answer: 66795

what is the sum of all 2-digit numbers from 10 to 99?

unknown values: x

equation: x = (10+99)(99-10+1)/2

answer: 4905

The sum of two positive numbers is 20. What is the minimum value of the sum of their reciprocals?

unknown values: v

equation: x + y = 20

equation: v = min_value(1/x + 1/y)

answer: 1/5 | 0.2

Find the value of k so that the equation will have exactly one rational solution?2x^2+8x+k=0

unknown values: k

equation: 8^2 - 4*2*k = 0

answer: 8

the difference between two numbers is 2184. if the bigger number is 3 times the smaller number, find the sum of the two numbers.

unknown values: s

equation: s = m + n

equation: m - n = 2184

equation: m = 3*n

answer: 4368

I think of a number, double it, add three, multiply the answer by three and then add on twice the number I first thought of. If the final answer is 145 what was the number I first thought of?

unknown values: n

equation: 3(2*n + 3) + 2*n = 145

answer: 17

consider the sequence A,B,C,D,E,F,G,H. The sum of any 3 consecutive terms is 14. If B=7 and F=4. what is D?

unknown values: d

equation: b = 7

equation: f = 4

equation: a + b + c = 14

equation: b + c + d = 14

equation: c + d + m = 14

equation: d + m + f = 14

equation: m + f + g = 14

equation: f + g + h = 14

answer: 3

if p+q=5 and 2pq=8, what is p^2+q^2?

unknown values: x

equation: p+q=5

equation: 2*pq=8

equation: x = p^2+q^2

answer: 17

Find the sum of the terms in this arithmetic sequence :1,5,9,13...105

unknown values: s

equation: 1 + (n-1)(5-1) = 105

equation: s = (1+105)*n/2

answer: 1431