find the sum of the first 100 odd numbers?
unknown values: x
equation: x = (1 + (2*100-1))*100/2
answer: 10000
What is the sum of the first 85 consecutive odd numbers?
unknown values: x
equation: x = 85*(1+(2*85-1))/2
answer: 7225
find 2 integers whose sum is -18 and whose product is 45
unknown values: x,y
equation: x+y=-18
equation: xy=45
answer: {-3; -15}
two negative integers have a sum of -13 and a product of 42. what are the integers?
unknown values: x,y
equation: x+y=-13
equation: xy=42
answer: {-7; -6}
The sum of five consecutive integers is 40. What is the smallest of the integers?
unknown values: x-2
equation: (x-2)+(x-1)+x+(x+1)+(x+2)=40
answer: 6
Find four consecutive integers whose sum is -38.
unknown values: x-1,x,x+1,x+2
equation: (x-1)+x+(x+1)+(x+2)=-38
answer: -11; -10; -9; -8
Find three consecutive odd integers such that the product of the first and second exceeds the third by 8.
unknown values: x,x+2,x+4
equation: x(x+2)-8=x+4
answer: 3; 5; 7
find three consecutive positive integers such that the product of the first and the third is 29 more than the second.
unknown values: x,x+1,x+2
equation: x(x+2)-29=x+1
equation: x>0
answer: 5; 6; 7
Find three consecutive positive even integers such that the product of the second and third integers is twenty more than ten times the first integer.
unknown values: x,x+1,x+2
equation: (x+1)(x+2)-20=10*x
equation: x>0
answer: 6; 8; 10
find three consecutive positive integers such that the product of the second and third integers is twenty more than ten times the first integer
unknown values: x,x+1,x+2
equation: (x+1)(x+2)-20=10*x
equation: x>0
answer: 9; 10; 11