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

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

Find the sum of 33 terms of an arithmetic progression whose middle term is 33.

unknown values: s

equation: a + (33-1)*d = b

equation: s = (a+b)*33/2

equation: a + ((33+1)/2-1)*d = 33

answer: 1089

Seven more than the product of a number and four is negative seventeen. find the number.

unknown values: n

equation: 7 + 4*n = -17

answer: -6

find four consecutive odd integers such that 6 times the sum of the first and the third is 3 more than 5 times the opposite of the fourth.

unknown values: 2*n-3,2*n-1,2*n+1,2*n+3

equation: 6((2*n-3) + (2*n+1)) = 3 + 5(-1 * (2*n+3))

answer: -3; -1; 1; 3

what is the sum of all the four digit positive integers that can be written with the digits 1, 2, 3, and 4 if each digit must be used exactly once in each four digit positive integer.

unknown values: s

equation: s = (1+2+3+4)*(3*2)*(1000+100+10+1)

answer: 66660

how many 3 digit even numbers can be made using the digits 1,2,3,4,6,7,if no digit is repeated?

unknown values: n

equation: n=3*5*4

answer: 60

How many 3 digit numbers can you make using the digits 1,2,3, and 4 if the hundreds digit is prime and repetition of a digit is not permitted?

unknown values: n

equation: n = 2 * 3 * 2

answer: 12

The sum of the first 100 positive whole numbers is 5050. what is the sum of the first 100 positive odd whole numbers ?

unknown values: s

equation: s = 2 * 5050 - 100 * 1

answer: 10000