Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
60001	Simplify	(z^(5/8))/(z^(3/8))	$\frac{z^{\frac{5}{8}}}{z^{\frac{3}{8}}}$
60002	Simplify	(z^-1)/z	$\frac{z^{- 1}}{z}$
60003	Simplify	(z^13)/(z^3)	$\frac{z^{13}}{z^{3}}$
60004	Simplify	(z^2a^3)/z	$\frac{z^{2} a^{3}}{z}$
60005	Simplify	(z^2)/(z^2-1)-(3z+2)/(z^2-1)	$\frac{z^{2}}{z^{2} - 1} - \frac{3 z + 2}{z^{2} - 1}$
60006	Simplify	(z^-2)/(z^-7)	$\frac{z^{- 2}}{z^{- 7}}$
60007	Simplify	((z^2)/(5w^2))÷(z/(w^3))*w/(2z)	$\frac{z^{2}}{5 w^{2}} \div \frac{z}{w^{3}} \cdot \frac{w}{2 z}$
60008	Simplify	(z^2)/(z-6)-36/(z-6)	$\frac{z^{2}}{z - 6} - \frac{36}{z - 6}$
60009	Simplify	(z^2)/(z-6)+(z-42)/(z-6)	$\frac{z^{2}}{z - 6} + \frac{z - 42}{z - 6}$
60010	Simplify	(z^2+1)/(z^2-4z-5)	$\frac{z^{2} + 1}{z^{2} - 4 z - 5}$
60011	Simplify	((z^2+10z+24)/(z^2+11z+28))÷((z^2+6z)/(z^2-z-56))	$\frac{z^{2} + 10 z + 24}{z^{2} + 11 z + 28} \div \frac{z^{2} + 6 z}{z^{2} - z - 56}$
60012	Simplify	(z^2+10z+25)/(z^2+6z+5)	$\frac{z^{2} + 10 z + 25}{z^{2} + 6 z + 5}$
60013	Simplify	((z^2+12z+35)/(z^2+15z+56))÷((z^2+5z)/(z^2+3z-40))	$\frac{z^{2} + 12 z + 35}{z^{2} + 15 z + 56} \div \frac{z^{2} + 5 z}{z^{2} + 3 z - 40}$
60014	Simplify	(z^2+13z+40)/(z^2-2z-35)	$\frac{z^{2} + 13 z + 40}{z^{2} - 2 z - 35}$
60015	Simplify	((z^2+14z+49)/(z-3))÷((z^2+13z+42)/(z^2+11z+30))	$\frac{z^{2} + 14 z + 49}{z - 3} \div \frac{z^{2} + 13 z + 42}{z^{2} + 11 z + 30}$
60016	Simplify	((z^2+15z+54)/(z^2+14z+45))÷((z^2-z-54)/(4z-36))	$\frac{z^{2} + 15 z + 54}{z^{2} + 14 z + 45} \div \frac{z^{2} - z - 54}{4 z - 36}$
60017	Simplify	(z^2+17)/(z^2-5z-14)	$\frac{z^{2} + 17}{z^{2} - 5 z - 14}$
60018	Simplify	(z^2+3z+2)/((2+z)/((z+2)(z+1)))	$\frac{z^{2} + 3 z + 2}{\frac{2 + z}{(z + 2) (z + 1)}}$
60019	Simplify	(z^2+4z-12)/(z^2+2z-8)*(z^2-2z-8)/(z^2+8z+12)	$\frac{z^{2} + 4 z - 12}{z^{2} + 2 z - 8} \cdot \frac{z^{2} - 2 z - 8}{z^{2} + 8 z + 12}$
60020	Simplify	( square root of 2)/( square root of 49)	$\frac{\sqrt{2}}{\sqrt{49}}$
60021	Simplify	( square root of 2)/( square root of 6)	$\frac{\sqrt{2}}{\sqrt{6}}$
60022	Simplify	( square root of 2)/2+( square root of 2i)/2	$\frac{\sqrt{2}}{2} + \frac{\sqrt{2} i}{2}$
60023	Simplify	( square root of 2)/(9- square root of 3)	$\frac{\sqrt{2}}{9 - \sqrt{3}}$
60024	Simplify	( square root of 2+1)/( square root of 3+1)-( square root of 2-1)/( square root of 5- square root of 3)	$\frac{\sqrt{2} + 1}{\sqrt{3} + 1} - \frac{\sqrt{2} - 1}{\sqrt{5} - \sqrt{3}}$
60025	Simplify	( square root of 210)/( square root of 500)	$\frac{\sqrt{210}}{\sqrt{500}}$
60026	Simplify	( square root of 22- square root of 5)/( square root of 22+ square root of 5)	$\frac{\sqrt{22} - \sqrt{5}}{\sqrt{22} + \sqrt{5}}$
60027	Simplify	( square root of 25)/( square root of 64)	$\frac{\sqrt{25}}{\sqrt{64}}$
60028	Simplify	( square root of 26)/( square root of 13)	$\frac{\sqrt{26}}{\sqrt{13}}$
60029	Simplify	( square root of 27)/( square root of 147)	$\frac{\sqrt{27}}{\sqrt{147}}$
60030	Simplify	( square root of 3 square root of 7)/(-1- square root of 27)	$\frac{\sqrt{3 \sqrt{7}}}{- 1 - \sqrt{27}}$
60031	Simplify	( square root of 3)/( square root of 15)	$\frac{\sqrt{3}}{\sqrt{15}}$
60032	Simplify	( square root of 3)/( cube root of 3)	$\frac{\sqrt{3}}{\sqrt[3]{3}}$
60033	Simplify	16 1/2-(1 1/4+4 1/8)	$16 \frac{1}{2} - (1 \frac{1}{4} + 4 \frac{1}{8})$
60034	Simplify	( square root of 32)/5+( square root of 18)/7	$\frac{\sqrt{32}}{5} + \frac{\sqrt{18}}{7}$
60035	Simplify	(- square root of 40)/( square root of 2)	$\frac{- \sqrt{40}}{\sqrt{2}}$
60036	Simplify	( square root of 5- square root of 2)/( square root of 5+ square root of 2)	$\frac{\sqrt{5} - \sqrt{2}}{\sqrt{5 + \sqrt{2}}}$
60037	Simplify	( square root of 5)/( square root of 125)	$\frac{\sqrt{5}}{\sqrt{125}}$
60038	Simplify	15y^6 square root of y+13 square root of y^13	$15 y^{6} \sqrt{y} + 13 \sqrt{y^{13}}$
60039	Simplify	( square root of 5)/(4 square root of 3)	$\frac{\sqrt{5}}{4 \sqrt{3}}$
60040	Simplify	( square root of 5+ square root of 7)/(3 square root of 5- square root of 7)	$\frac{\sqrt{5} + \sqrt{7}}{3 \sqrt{5} - \sqrt{7}}$
60041	Simplify	( square root of 6)/5	$\frac{\sqrt{6}}{5}$
60042	Subtract	-3-(-8)	$- 3 - (- 8)$
60043	Simplify	1/2-3/8	$\frac{1}{2} - \frac{3}{8}$
60044	Simplify	1/2*((1/( square root of 3c^2+y^2))(10c)(dc))/(dt)	$\frac{1}{2} \cdot \frac{(\frac{1}{\sqrt{3 c^{2} + y^{2}}}) (10 c) (d c)}{d t}$
60045	Simplify	1/2*(5/6+2 3/4)	$\frac{1}{2} \cdot (\frac{5}{6} + 2 \frac{3}{4})$
60046	Simplify	1/2(y^2-y)110	$\frac{1}{2} \cdot (y^{2} - y) \cdot 110$
60047	Simplify	1/2*(12y-4y)	$\frac{1}{2} \cdot (12 y - 4 y)$
60048	Simplify	-1/2*(2y+5)	$- \frac{1}{2} \cdot (2 y + 5)$
60049	Simplify	1/2(4)+1/3(-3)+1/4*(0)	$\frac{1}{2} \cdot (4) + \frac{1}{3} \cdot (- 3) + \frac{1}{4} \cdot (0)$
60050	Simplify	1/2*(4a-10y)	$\frac{1}{2} \cdot (4 a - 10 y)$
60051	Simplify	1/2(5.7)+1/2(8.9)+1/2*(3.4)	$\frac{1}{2} \cdot (5.7) + \frac{1}{2} \cdot (8.9) + \frac{1}{2} \cdot (3.4)$
60052	Simplify	1/2(5a-6)-1/3(9a-15)+1	$\frac{1}{2} \cdot (5 a - 6) - \frac{1}{3} \cdot (9 a - 15) + 1$
60053	Simplify	1/2*(6-10y+4z)	$\frac{1}{2} \cdot (6 - 10 y + 4 z)$
60054	Simplify	1/2(6a+4)+1/2(6a-4)	$\frac{1}{2} \cdot (6 a + 4) + \frac{1}{2} \cdot (6 a - 4)$
60055	Simplify	1/2*(6-y)=y	$\frac{1}{2} \cdot (6 - y) = y$
60056	Simplify	1/2*(8n+20)	$\frac{1}{2} \cdot (8 n + 20)$
60057	Simplify	1/2*(8s+6)	$\frac{1}{2} \cdot (8 s + 6)$
60058	Simplify	1/2*((9)(9)sin(60))	$\frac{1}{2} \cdot ((9) (9) \sin (60))$
60059	Simplify	1/2*((9cm)(6cm))	$\frac{1}{2} \cdot ((9 cm) (6 cm))$
60060	Simplify	1/2*(b-4)+b	$\frac{1}{2} \cdot (b - 4) + b$
60061	Simplify	1/2*(y+1)	$\frac{1}{2} \cdot (y + 1)$
60062	Simplify	1/2(61+7)+11	$\frac{1}{2} \cdot (6 \cdot 1 + 7) + 11$
60063	Simplify	-1/2*2/(2- square root of 3)	$- \frac{1}{2} \cdot \frac{2}{2 - \sqrt{3}}$
60064	Simplify	1/2*32/19	$\frac{1}{2} \cdot \frac{32}{19}$
60065	Simplify	1/2*4/d	$\frac{1}{2} \cdot \frac{4}{d}$
60066	Simplify	1/2*7/2	$\frac{1}{2} \cdot \frac{7}{2}$
60067	Simplify	1/2107*sin(58)	$\frac{1}{2} \cdot 10 \cdot 7 \cdot \sin (58)$
60068	Simplify	1/211 2/3(1/2)^2	$\frac{1}{2} \cdot 11 \frac{2}{3} \cdot {(\frac{1}{2})}^{2}$
60069	Simplify	1/223 1/2	$\frac{1}{2} \cdot 2 \cdot 3 \frac{1}{2}$
60070	Simplify	1/2*(2m)	$\frac{1}{2} \cdot (2 m)$
60071	Simplify	1/236 1/2	$\frac{1}{2} \cdot 3 \cdot 6 \frac{1}{2}$
60072	Simplify	1/2*3 2/5	$\frac{1}{2} \cdot 3 \frac{2}{5}$
60073	Simplify	-1/2*(36a)	$- \frac{1}{2} \cdot (36 a)$
60074	Simplify	1/259*sin(52)	$\frac{1}{2} \cdot 5 \cdot 9 \cdot \sin (52)$
60075	Simplify	1/28 3/81 7/8*3 4/5	$\frac{1}{2} \cdot 8 \frac{3}{8} \cdot 1 \frac{7}{8} \cdot 3 \frac{4}{5}$
60076	Simplify	1/2(81(-1.28))+819.91*h-715	$\frac{1}{2} \cdot (81 (- 1.28)) + 81 \cdot 9.91 \cdot h - 715$
60077	Simplify	15x^2+360	$15 x^{2} + 360$
60078	Simplify	1/2*(2/3)^2-5 2/3+2	$\frac{1}{2} \cdot {(\frac{2}{3})}^{2} - 5 \frac{2}{3} + 2$
60079	Simplify	1/2*1/3	$\frac{1}{2} \cdot \frac{1}{3}$
60080	Simplify	1/2-1/3	$\frac{1}{2} - \frac{1}{3}$
60081	Simplify	1/2-2/2	$\frac{1}{2} - \frac{2}{2}$
60082	Simplify	1/2-2/5	$\frac{1}{2} - \frac{2}{5}$
60083	Simplify	1/2-2/(a+b)	$\frac{1}{2} - \frac{2}{a + b}$
60084	Simplify	1/2-3/16	$\frac{1}{2} - \frac{3}{16}$
60085	Simplify	-1/2-3/5	$- \frac{1}{2} - \frac{3}{5}$
60086	Simplify	1/2-4/7	$\frac{1}{2} - \frac{4}{7}$
60087	Simplify	1/2a^2+1/2a-10	$\frac{1}{2} a^{2} + \frac{1}{2} a - 10$
60088	Simplify	1/2*(ab^5)	$\frac{1}{2} \cdot (a b^{5})$
60089	Simplify	1/2d^0.5*(3d^11)	$\frac{1}{2} d^{0.5} \cdot (3 d^{11})$
60090	Simplify	(1/2(f^2gh))÷1 1/4(g^2f)*(25g^3kh)	$\frac{1}{2} \cdot (f^{2} g h) \div 1 \frac{1}{4} \cdot (g^{2} f) \cdot (25 g^{3} k h)$
60091	Simplify	1/2t^-3	$\frac{1}{2} t^{- 3}$
60092	Simplify	1/2*(uv^2(10u^2-4uv+8v^2))	$\frac{1}{2} \cdot (u v^{2} (10 u^{2} - 4 u v + 8 v^{2}))$
60093	Simplify	1/2* square root of 108a^5c^7	$\frac{1}{2} \cdot \sqrt{108 a^{5} c^{7}}$
60094	Simplify	-1/2* square root of 27c^2*(-6 square root of 12c^10)	$- \frac{1}{2} \cdot \sqrt{27 c^{2}} \cdot (- 6 \sqrt{12 c^{10}})$
60095	Simplify	1/2* square root of 80a^3-4a square root of 20a	$\frac{1}{2} \cdot \sqrt{80 a^{3}} - 4 a \sqrt{20 a}$
60096	Simplify	1/2* cube root of 1/2a^4+ cube root of 1/8a^4	$\frac{1}{2} \cdot \sqrt[3]{\frac{1}{2} a^{4}} + \sqrt[3]{\frac{1}{8} a^{4}}$
60097	Simplify	1/2y^2-7/2y-22	$\frac{1}{2} y^{2} - \frac{7}{2} y - 22$
60098	Simplify	1/2y^2+5/2y-3/2	$\frac{1}{2} y^{2} + \frac{5}{2} y - \frac{3}{2}$
60099	Simplify	-1/2y^3-y^2+4.5y+4y	$- \frac{1}{2} y^{3} - y^{2} + 4.5 y + 4 y$
60100	Simplify	1/2+1/10	$\frac{1}{2} + \frac{1}{10}$