Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
8001	Simplify	(3x^2)/(x-8)+(6x)/(x-8)	$\frac{3 x^{2}}{x - 8} + \frac{6 x}{x - 8}$
8002	Simplify	3/10(2x)/(7y)(11y)/2	$\frac{3}{10} \cdot \frac{2 x}{7 y} \cdot \frac{11 y}{2}$
8003	Simplify	3/(10n)+7/(15n^2)	$\frac{3}{10 n} + \frac{7}{15 n^{2}}$
8004	Simplify	3/(2x)-5/8	$\frac{3}{2 x} - \frac{5}{8}$
8005	Simplify	3/(3x-9)+(x-2)/(3-x)	$\frac{3}{3 x - 9} + \frac{x - 2}{3 - x}$
8006	Simplify	3/4*(x+7)	$\frac{3}{4} \cdot (x + 7)$
8007	Simplify	3/4x-4/5x	$\frac{3}{4} x - \frac{4}{5} x$
8008	Simplify	(3/7)÷5	$\frac{3}{7} \div 5$
8009	Simplify	3/4+6/7	$\frac{3}{4} + \frac{6}{7}$
8010	Simplify	3/(4x^2-21x+27)+1/(4x^2-17x+18)	$\frac{3}{4 x^{2} - 21 x + 27} + \frac{1}{4 x^{2} - 17 x + 18}$
8011	Simplify	3/4*(8x-10)	$\frac{3}{4} \cdot (8 x - 10)$
8012	Simplify	(3/4)÷(7/8)	$\frac{3}{4} \div \frac{7}{8}$
8013	Simplify	((4x-12y)/(x^2-4y^2))÷((x-3y)/(x^2-7xy-18y^2))	$\frac{4 x - 12 y}{x^{2} - 4 y^{2}} \div \frac{x - 3 y}{x^{2} - 7 x y - 18 y^{2}}$
8014	Simplify	(5-5/w)/(5-5/(w-1))	$\frac{5 - \frac{5}{w}}{5 - \frac{5}{w - 1}}$
8015	Simplify	5/(x^2)+6/(5x)	$\frac{5}{x^{2}} + \frac{6}{5 x}$
8016	Simplify	5/3x^4-2/3x^4	$\frac{5}{3} x^{4} - \frac{2}{3} x^{4}$
8017	Simplify	-5/(2y)-7/(6y^2)	$\frac{- 5}{2 y} - \frac{7}{6 y^{2}}$
8018	Simplify	5/(2m)+4/(2m)	$\frac{5}{2 m} + \frac{4}{2 m}$
8019	Simplify	5/(2p-5)+7/(5-2p)	$\frac{5}{2 p - 5} + \frac{7}{5 - 2 p}$
8020	Simplify	(5x^4)/7-(36x^2)/35	$\frac{5 x^{4}}{7} - \frac{36 x^{2}}{35}$
8021	Simplify	(5x^2+8)/13	$\frac{5 x^{2} + 8}{13}$
8022	Simplify	5/(8xy)+1/(12x^2)	$\frac{5}{8 x y} + \frac{1}{12 x^{2}}$
8023	Simplify	5/(7x-3)-2/(2x+1)+(4x)/(14x^2+x-3)	$\frac{5}{7 x - 3} - \frac{2}{2 x + 1} + \frac{4 x}{14 x^{2} + x - 3}$
8024	Simplify	5/(9x)+1/(6x)	$\frac{5}{9 x} + \frac{1}{6 x}$
8025	Simplify	5/(9x)+1/8	$\frac{5}{9 x} + \frac{1}{8}$
8026	Simplify	5/x-10/(x^2)+1/x-4/(x^3)	$\frac{5}{x} - \frac{10}{x^{2}} + \frac{1}{x} - \frac{4}{x^{3}}$
8027	Simplify	5/(4x)-1/x	$\frac{5}{4 x} - \frac{1}{x}$
8028	Simplify	5/6x=35	$\frac{5}{6} x = 35$
8029	Simplify	5/(6x)-9/(8x)	$\frac{5}{6 x} - \frac{9}{8 x}$
8030	Simplify	5/7(x+y)-2/7(x-1)	$\frac{5}{7} \cdot (x + y) - \frac{2}{7} \cdot (x - 1)$
8031	Simplify	((4x-y)/(16x^2+8xy+y^2))÷(1/((4x+y)^2))	$\frac{4 x - y}{16 x^{2} + 8 x y + y^{2}} \div \frac{1}{{(4 x + y)}^{2}}$
8032	Simplify	(5a^-1+4b^-2)/(a^-1-b^-1)	$\frac{5 a^{- 1} + 4 b^{- 2}}{a^{- 1} - b^{- 1}}$
8033	Simplify	(4x-3)/(x+2)*(x(x-6))/(x-4)	$\frac{4 x - 3}{x + 2} \cdot \frac{x (x - 6)}{x - 4}$
8034	Simplify	(4x)/18+1/18	$\frac{4 x}{18} + \frac{1}{18}$
8035	Simplify	(5x^2)/(9y^3)*(18y)/(20x^4)	$\frac{5 x^{2}}{9 y^{3}} \cdot \frac{18 y}{20 x^{4}}$
8036	Simplify	(4x)/3+(5y)/4	$\frac{4 x}{3} + \frac{5 y}{4}$
8037	Simplify	(48x^32y^6)/(8x^2y)	$\frac{48 x^{32} y^{6}}{8 x^{2} y}$
8038	Simplify	(4x)/(x^2-49)*(x+7)/(16x)	$\frac{4 x}{x^{2} - 49} \cdot \frac{x + 7}{16 x}$
8039	Simplify	(46200+v)/(22500-v^2)-(46200-v)/(22500-v^2)-(0.5*(22500-v^2))/(22500-v^2)	$\frac{46200 + v}{22500 - v^{2}} - \frac{46200 - v}{22500 - v^{2}} - \frac{0.5 \cdot (22500 - v^{2})}{22500 - v^{2}}$
8040	Simplify	48/100	$\frac{48}{100}$
8041	Simplify	(4r-2)/(r-2)*(r^2-4)/(r-3)	$\frac{4 r - 2}{r - 2} \cdot \frac{r^{2} - 4}{r - 3}$
8042	Simplify	(2x)/(x+3)+7/(3x+1)	$\frac{2 x}{x + 3} + \frac{7}{3 x + 1}$
8043	Simplify	4/(x+7)+7	$\frac{4}{x + 7} + 7$
8044	Simplify	4^(-2xy)	$4^{- 2 x y}$
8045	Simplify	(4c)/3-(6c+8)/(5c-8)	$\frac{4 c}{3} - \frac{6 c + 8}{5 c - 8}$
8046	Simplify	48/60	$\frac{48}{60}$
8047	Simplify	(5a-10)/(3a+6)*(14a+28)/(6a-12)	$\frac{5 a - 10}{3 a + 6} \cdot \frac{14 a + 28}{6 a - 12}$
8048	Simplify	(6a^2b)/(15c^2d^2)*(5cda^3)/(a^2b^2)	$\frac{6 a^{2} b}{15 c^{2} d^{2}} \cdot \frac{5 c d a^{3}}{a^{2} b^{2}}$
8049	Simplify	(5x)/(4x+16)-(x-4)/(3x+12)	$\frac{5 x}{4 x + 16} - \frac{x - 4}{3 x + 12}$
8050	Simplify	(52/3)÷4 1/4	$\frac{52}{3} \div 4 \frac{1}{4}$
8051	Simplify	(5m)/(4n)+(3m)/(4n)	$\frac{5 m}{4 n} + \frac{3 m}{4 n}$
8052	Simplify	(-5x)/(x-9)--8/(x-9)	$\frac{- 5 x}{x - 9} - \frac{- 8}{x - 9}$
8053	Simplify	(5m)/(m-5)-25/(m-5)	$\frac{5 m}{m - 5} - \frac{25}{m - 5}$
8054	Simplify	(5+5k)/4+(1+k)/8	$\frac{5 + 5 k}{4} + \frac{1 + k}{8}$
8055	Simplify	50/3	$\frac{50}{3}$
8056	Simplify	x^2y^8x^6*y^4	$x^{2} \cdot y^{8} \cdot x^{6} \cdot y^{4}$
8057	Simplify	5/(x+5)+3/(x-5)	$\frac{5}{x + 5} + \frac{3}{x - 5}$
8058	Simplify	(5a-3)/(3a)-(4a+1)/(5a)	$\frac{5 a - 3}{3 a} - \frac{4 a + 1}{5 a}$
8059	Simplify	(5c)/22+(5c)/22	$\frac{5 c}{22} + \frac{5 c}{22}$
8060	Simplify	(5m)/(m-8)-40/(m-8)	$\frac{5 m}{m - 8} - \frac{40}{m - 8}$
8061	Simplify	-5/(x-3)+(3x-19)/(x^2-8x+15)	$\frac{- 5}{x - 3} + \frac{3 x - 19}{x^{2} - 8 x + 15}$
8062	Simplify	5/(z+6)+8/(7z)	$\frac{5}{z + 6} + \frac{8}{7 z}$
8063	Simplify	(6x^2-3x)/(10x^3+50x^2)	$\frac{6 x^{2} - 3 x}{10 x^{3} + 50 x^{2}}$
8064	Simplify	6/(17y^2)-3/(5y)	$\frac{6}{17 y^{2}} - \frac{3}{5 y}$
8065	Simplify	(6x^2-41x)/(6x+1)-7/(6x+1)	$\frac{6 x^{2} - 41 x}{6 x + 1} - \frac{7}{6 x + 1}$
8066	Simplify	-6/11(m1)/4	$- \frac{6}{11} \cdot \frac{m \cdot 1}{4}$
8067	Simplify	6/(ab)+7/b	$\frac{6}{a b} + \frac{7}{b}$
8068	Simplify	6/(n-3)+n/(n+3)	$\frac{6}{n - 3} + \frac{n}{n + 3}$
8069	Simplify	6/x-(2x)/(x+2)	$\frac{6}{x} - \frac{2 x}{x + 2}$
8070	Simplify	6/a-(7/(a^2))÷(6/(a^3))+7/a	$\frac{6}{a} - \frac{7}{a^{2}} \div \frac{6}{a^{3}} + \frac{7}{a}$
8071	Simplify	6/x+2/(5x)	$\frac{6}{x} + \frac{2}{5 x}$
8072	Simplify	6/5k+8/5-2k+2/5+2/5k-6	$\frac{6}{5} k + \frac{8}{5} - 2 k + \frac{2}{5} + \frac{2}{5} k - 6$
8073	Simplify	6/(x+2)+7/(x-1)	$\frac{6}{x + 2} + \frac{7}{x - 1}$
8074	Simplify	6/x+9/(x-2)	$\frac{6}{x} + \frac{9}{x - 2}$
8075	Simplify	6^P*0	$6^{P} \cdot 0$
8076	Simplify	(6x)/(x^2-5x+6)-24/(x^2-6x+8)	$\frac{6 x}{x^{2} - 5 x + 6} - \frac{24}{x^{2} - 6 x + 8}$
8077	Simplify	(-6x)/(x^3-8x)+(7x)/(x^3-8x)	$\frac{- 6 x}{x^{3} - 8 x} + \frac{7 x}{x^{3} - 8 x}$
8078	Simplify	(6x)/45	$\frac{6 x}{45}$
8079	Simplify	(6ab)/(a^2b^2)*(a^2)/(b^2)	$\frac{6 a b}{a^{2} b^{2}} \cdot \frac{a^{2}}{b^{2}}$
8080	Simplify	(6ab)/(12a^2-24a)	$\frac{6 a b}{12 a^{2} - 24 a}$
8081	Solve for x	1/7+1/8=1/x	$\frac{1}{7} + \frac{1}{8} = \frac{1}{x}$
8082	Solve for x	1/4x=5	$\frac{1}{4} x = 5$
8083	Solve for x	1/8+1/6=1/x	$\frac{1}{8} + \frac{1}{6} = \frac{1}{x}$
8084	Solve for x	1/x-3/4=x/4	$\frac{1}{x} - \frac{3}{4} = \frac{x}{4}$
8085	Solve for x	1/x=2/3-5/6	$\frac{1}{x} = \frac{2}{3} - \frac{5}{6}$
8086	Solve for x	1/7=x+4/7	$\frac{1}{7} = x + \frac{4}{7}$
8087	Solve for x	1/7x=5	$\frac{1}{7} x = 5$
8088	Solve for x	1/6x=4	$\frac{1}{6} x = 4$
8089	Solve for x	1/7*(14x-11)-3x=3/7	$\frac{1}{7} \cdot (14 x - 11) - 3 x = \frac{3}{7}$
8090	Solve for x	-1/6x=-9/10	$- \frac{1}{6} x = - \frac{9}{10}$
8091	Solve for x	1/6x=-10	$\frac{1}{6} x = - 10$
8092	Solve for x	-1/7*(x-11)=2	$\frac{- 1}{7} \cdot (x - 11) = 2$
8093	Solve for x	1/40+1/60=1/x	$\frac{1}{40} + \frac{1}{60} = \frac{1}{x}$
8094	Solve for x	1/5x-2/3x-2=-2/5x	$\frac{1}{5} x - \frac{2}{3} x - 2 = - \frac{2}{5} x$
8095	Solve for x	1/5(3x+2)-1/3(x+4)=6	$\frac{1}{5} \cdot (3 x + 2) - \frac{1}{3} \cdot (x + 4) = 6$
8096	Solve for x	1/5x+3=-4	$\frac{1}{5} x + 3 = - 4$
8097	Solve for x	-1/5x=12	$- \frac{1}{5} x = 12$
8098	Solve for x	1/5x=-9	$\frac{1}{5} x = - 9$
8099	Solve for x	1/6*(2/3+x)=-3	$\frac{1}{6} \cdot (\frac{2}{3} + x) = - 3$
8100	Solve for x	-1/6(x-12)+1/2(x+2)=x+11	$- \frac{1}{6} \cdot (x - 12) + \frac{1}{2} \cdot (x + 2) = x + 11$