​1. Cho bieu thuc A=\(\frac{-4}{n-1}\)(voi n\(\in\)Z)

a. So nguyen n phai co dieu Kien gi de A la Phan so

b. Tin cac so nguyen n de A co gia tri nguyen

​​2. Cho Phan so B= \(\frac{n}{n-4}\)​(voi n\(\in\)Z)

a. Tim cac so Nguyen n de B la phan so

b. Tim tat ca cac so nguyen n de B co gia tri nguyen

​3. Chung minh rang cac Phan so sau Co gia tri la so tu nhien

a. \(\frac{10^{2016}+2}{3}\)

b.\(\frac{10^{2016}+8}{9}\)

1. Tim trung binh cong cua tat ca cac so tu nhien co 4 chu so khac nhau duoc viet boi bon chu so 0;3;5;7.Trung binh cong cua tat ca cac so do la?

2 .Tong cua 3 so bang 5,2. So thu nhat bang 2/3 so thu ba va so thu hai bang 50% so thu ba. Tim so thu hai?

3. Tim mot phan so co mau so bang 25 , biet rang neu cong tu so voi 34 va nhan mau so voi 3 thi duoc phan so moi bang phan so da cho. Tim phan so do?

4. Tim mot phan so biet rang neu cong them 4 vao tu so va giu nguyen mau so thi ta duoc phan so moi bang 1, con neu giu nguyen tu so va cong them 3 thi ta duoc phan so moi bang 1/2 .Tim phan so do?

5. Hay cho biet co tat ca bao nhieu so co 3 chu so ma tong co chu so cua moi so bang 4 . co tat ca bao nhieu so thoa man?

bai 1 tim cac stn x y z sao cho x+y+z=xyz

bai 2cmr neu m^2+mn+n^2chia het cho 9 voi m ,n la cac stn thi m,n chia het cho 3

bai 3 tim stn n nho nhat de cac phan so sau toi gian

7/n+9.8/n+10,...,31/n+33

bai 4chung to rang phan so m^3+2m/m^4+3m^2 +1 toi gian

bai 5 a,cmr khong ton tai so chinh phuong nao co dang abab

b,cho 51 so nguyen duong khong vuot qua 100 cmr ton tai 2 so trong 51 so noi tren ma 1 so chia het cho so con lai

c,tim cac so co 3 chu so sao cho hieu cua so ay va gom 3 chu so ay viet theo thu tu nguoc lai la mot so chinh phuong

bai 6cmr A=2x(x+y-1)+y^2+1 luon nhan gia tri khong am voi moi x,y

bai 7 tim hai so nguyen duong sao cho tong ,hieu thuong (so lon chia cho so nho )cua chung cong lai duoc 38

bai 8 cho ba so a,b,c thoa man a/2009=b/2010=c/2011

tinh gia tri cua bieu thuc M=4(a-b)(b-c)-(c-a)^2