Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
55001	Simplify	(c+3)/(c^2-4)*(c+2)/(3(c^2-9))	$\frac{c + 3}{c^{2} - 4} \cdot \frac{c + 2}{3 (c^{2} - 9)}$
55002	Simplify	(c+3)/(c-6)+(c+8)/(c-2)	$\frac{c + 3}{c - 6} + \frac{c + 8}{c - 2}$
55003	Simplify	(c+3)/(y-2)+(2c-1)/(y-2)	$\frac{c + 3}{y - 2} + \frac{2 c - 1}{y - 2}$
55004	Simplify	(c-4)/(c^2-3c-4)*(c^2+5c+6)/(c^2-4)	$\frac{c - 4}{c^{2} - 3 c - 4} \cdot \frac{c^{2} + 5 c + 6}{c^{2} - 4}$
55005	Simplify	((c-4)/(c+4))÷((4-c)/(16+c^2))	$\frac{c - 4}{c + 4} \div \frac{4 - c}{16 + c^{2}}$
55006	Simplify	((c-d)/(c+2d)*(2d+c)/(d+c))÷((d-c)/(d+c))	$\frac{c - d}{c + 2 d} \cdot \frac{2 d + c}{d + c} \div \frac{d - c}{d + c}$
55007	Simplify	Co^2	$C o^{2}$
55008	Simplify	(cos(4a)-cos(2a))/(sin(3a))	$\frac{\cos (4 a) - \cos (2 a)}{\sin (3 a)}$
55009	Simplify	cos(C)^2-1	$\cos^{2} (C) - 1$
55010	Simplify	(cos(t))/(t^3)	$\frac{\cos (t)}{t^{3}}$
55011	Simplify	cos(t)^2-(ctg(t)^2)÷(sin(t)^2)-tg(t)^2	$\cos^{2} (t) - c t g {(t)}^{2} \div \sin^{2} (t) - t g {(t)}^{2}$
55012	Simplify	(cos(y))/(sin(y))	$\frac{\cos (y)}{\sin (y)}$
55013	Simplify	-csc(pi/4)^2pi/4*3	$- \csc^{2} (\frac{π}{4}) \frac{π}{4} \cdot 3$
55014	Simplify	(c-y)/(c^2+y)*(c^2)/(y^2-cy)	$\frac{c - y}{c^{2} + y} \cdot \frac{c^{2}}{y^{2} - c y}$
55015	Simplify	d/(d^2+13d+42)-6/(d^2+11d+30)	$\frac{d}{d^{2} + 13 d + 42} - \frac{6}{d^{2} + 11 d + 30}$
55016	Simplify	d/(d^2+17d+72)-8/(d^2+15d+56)	$\frac{d}{d^{2} + 17 d + 72} - \frac{8}{d^{2} + 15 d + 56}$
55017	Simplify	(d/4)÷6	$\frac{d}{4} \div 6$
55018	Simplify	D/6-4	$\frac{D}{6} - 4$
55019	Simplify	d/(d-2)+d/(2-d)	$\frac{d}{d - 2} + \frac{d}{2 - d}$
55020	Simplify	(d/(d-b))÷(a/(b-d))	$\frac{d}{d - b} \div \frac{a}{b - d}$
55021	Simplify	d/(ds(3+s)^(2(2s-1)^3))	$\frac{d}{d s {(3 + s)}^{2 {(2 s - 1)}^{3}}}$
55022	Simplify	c^2+5c-3	$c^{2} + 5 c - 3$
55023	Simplify	c^2+7c-5	$c^{2} + 7 c - 5$
55024	Simplify	C^2+cd+cy+dy	$C^{2} + c d + c y + d y$
55025	Simplify	c^3+c^2	$c^{3} + c^{2}$
55026	Simplify	b^-3b	$b^{- 3} b$
55027	Simplify	b^3-6b+b^7-7b^5	$b^{3} - 6 b + b^{7} - 7 b^{5}$
55028	Simplify	a^(10-49)b^12	$a^{10 - 49} b^{12}$
55029	Simplify	a^(2 fourth root of 4a^2+ square root of 18a^5-a square root of 2a^3)	$a^{2 \sqrt[4]{4 a^{2}} + \sqrt{18 a^{5}} - a \sqrt{2 a^{3}}}$
55030	Simplify	b^4c^5(12bc^2)	$b^{4} c^{5} (12 b c^{2})$
55031	Simplify	b^(4+7b^(2-4b^4))	$b^{4 + 7 b^{2 - 4 b^{4}}}$
55032	Simplify	b^6*b^11	$b^{6} \cdot b^{11}$
55033	Simplify	b^-8	$b^{- 8}$
55034	Simplify	((b-2a)/(b^2+4ba+4a^2))÷((b^2-4a^2)/(b^2-7ba+10a^2))	$\frac{b - 2 a}{b^{2} + 4 b a + 4 a^{2}} \div \frac{b^{2} - 4 a^{2}}{b^{2} - 7 b a + 10 a^{2}}$
55035	Simplify	(b-2a)/(b+a)+(b+4a)/(b+a)	$\frac{b - 2 a}{b + a} + \frac{b + 4 a}{b + a}$
55036	Simplify	bbb^3	$b b b^{3}$
55037	Simplify	bbbbbbbbb^3	$b b b b b b b b b^{3}$
55038	Simplify	c^(1/5)	$c^{\frac{1}{5}}$
55039	Simplify	(a+b)/5-(a-b)/12	$\frac{a + b}{5} - \frac{a - b}{12}$
55040	Simplify	(a+b)/a+(a-b)/b	$\frac{a + b}{a} + \frac{a - b}{b}$
55041	Simplify	1/27 1/23	$\frac{1}{2} \cdot 7 \frac{1}{2} \cdot 3$
55042	Simplify	((a+b)/(ab))÷((a^2-b^2)/(6a^3b))	$\frac{a + b}{a b} \div \frac{a^{2} - b^{2}}{6 a^{3} b}$
55043	Simplify	(a+b+2 square root of ab)/( square root of a+ square root of b)*( square root of a- square root of b)/( square root of a- square root of b)	$\frac{a + b + 2 \sqrt{a b}}{\sqrt{a} + \sqrt{b}} \cdot \frac{\sqrt{a} - \sqrt{b}}{\sqrt{a} - \sqrt{b}}$
55044	Simplify	(a-1)/(abc^3)-3/(abc^3)	$\frac{a - 1}{a b c^{3}} - \frac{3}{a b c^{3}}$
55045	Simplify	(a-1)/(2a-3)+(3a-7)/(6+2a-4a^2)	$\frac{a - 1}{2 a - 3} + \frac{3 a - 7}{6 + 2 a - 4 a^{2}}$
55046	Simplify	((a-2)/(6a^2-7a-5))÷((2a)/(3a^2-5a))-(3a+2)/(2a^2+11a+5)	$\frac{a - 2}{6 a^{2} - 7 a - 5} \div \frac{2 a}{3 a^{2} - 5 a} - \frac{3 a + 2}{2 a^{2} + 11 a + 5}$
55047	Simplify	(a-2)/(a+3)+(10a)/(a^2-9)	$\frac{a - 2}{a + 3} + \frac{10 a}{a^{2} - 9}$
55048	Simplify	(a-2)/(a-1)+(a+3)/(a+2)+(a+1)/(a-3)	$\frac{a - 2}{a - 1} + \frac{a + 3}{a + 2} + \frac{a + 1}{a - 3}$
55049	Simplify	(a-3)/(3a-3)*(a^2+2a-3)/(a-2)	$\frac{a - 3}{3 a - 3} \cdot \frac{a^{2} + 2 a - 3}{a - 2}$
55050	Simplify	(a-4)/(a^2-16)*(a^2+5a+4)/(a-5)	$\frac{a - 4}{a^{2} - 16} \cdot \frac{a^{2} + 5 a + 4}{a - 5}$
55051	Simplify	(a-4)/(a^2-6a+8)	$\frac{a - 4}{a^{2} - 6 a + 8}$
55052	Simplify	(ab(a+b))/(a+c)+(bc(a+b))/(a+c)-(b(a^2+ac+bc+b^2))/(a+c)	$\frac{a b (a + b)}{a + c} + \frac{b c (a + b)}{a + c} - \frac{b (a^{2} + a c + b c + b^{2})}{a + c}$
55053	Simplify	(a-b)/a+b	$\frac{a - b}{a} + b$
55054	Simplify	((a-b)/(ab))÷((ab)/b)	$\frac{a - b}{a b} \div \frac{a b}{b}$
55055	Simplify	((a-b)/b)÷(((a-b)^2)/(b-a))	$\frac{a - b}{b} \div \frac{{(a - b)}^{2}}{b - a}$
55056	Simplify	ab^0(a^4b^0)(a^0b^0)	$a b^{0} \cdot (a^{4} b^{0}) \cdot (a^{0} b^{0})$
55057	Simplify	(ab^2c^3*(4a^4b^4))÷2bca^3	$a b^{2} c^{3} \cdot (4 a^{4} b^{4}) \div 2 b c a^{3}$
55058	Simplify	ab^2c+a^2bc	$a b^{2} c + a^{2} b c$
55059	Simplify	abc^2	$a b c^{2}$
55060	Simplify	ar^(n-1)	$a r^{n - 1}$
55061	Simplify	(ay-3y)/(a-y)*(a^2-y^2)/y	$\frac{a y - 3 y}{a - y} \cdot \frac{a^{2} - y^{2}}{y}$
55062	Simplify	(b-1/c)/(c-1/b)	$\frac{b - \frac{1}{c}}{c - \frac{1}{b}}$
55063	Simplify	b/(b^2+18b+81)+9/(b^2+17b+72)	$\frac{b}{b^{2} + 18 b + 81} + \frac{9}{b^{2} + 17 b + 72}$
55064	Simplify	b/(b^2+5b+6)-2/(b^2+3b+2)	$\frac{b}{b^{2} + 5 b + 6} - \frac{2}{b^{2} + 3 b + 2}$
55065	Simplify	b/5	$\frac{b}{5}$
55066	Simplify	b/5=16	$\frac{b}{5} = 16$
55067	Simplify	b/(9b^2-4)+(b+1)/(6b^2-4b)-1/(6b+4)	$\frac{b}{9 b^{2} - 4} + \frac{b + 1}{6 b^{2} - 4 b} - \frac{1}{6 b + 4}$
55068	Simplify	(b^(3/2)b^(-1/4))÷(b^(-1/3))	$b^{\frac{3}{2}} b^{- \frac{1}{4}} \div b^{- \frac{1}{3}}$
55069	Simplify	b^1.5*b^-0.2	$b^{1.5} \cdot b^{- 0.2}$
55070	Simplify	b^2*(2b^3)/(2b)	$b^{2} \cdot \frac{2 b^{3}}{2 b}$
55071	Simplify	b^2+5b	$b^{2} + 5 b$
55072	Simplify	b^2-24b+144÷b-12	$b^{2} - 24 b + 144 \div b - 12$
55073	Simplify	b^2-49c^2	$b^{2} - 49 c^{2}$
55074	Simplify	b^2-8b+16	$b^{2} - 8 b + 16$
55075	Simplify	b^2-9b-90	$b^{2} - 9 b - 90$
55076	Simplify	b^(2+2b-15)	$b^{2 + 2 b - 15}$
55077	Simplify	B^(2-2b-24)	$B^{2 - 2 b - 24}$
55078	Simplify	u^(2/5)u^(4/7)	$u^{\frac{2}{5}} u^{\frac{4}{7}}$
55079	Simplify	u^(3/2)+u^(5/2)	$u^{\frac{3}{2}} + u^{\frac{5}{2}}$
55080	Simplify	u^2-u^-2	$u^{2} - u^{- 2}$
55081	Simplify	u^-2*u^3	$u^{- 2} \cdot u^{3}$
55082	Simplify	-u^2v^3*(-u^5v^-5)^4	$- u^{2} v^{3} \cdot {(- u^{5} v^{- 5})}^{4}$
55083	Simplify	u^2+16	$u^{2} + 16$
55084	Simplify	u^(2-3u-40)	$u^{2 - 3 u - 40}$
55085	Simplify	u^3	$u^{3}$
55086	Simplify	u^-3	$u^{- 3}$
55087	Simplify	u^4	$u^{4}$
55088	Simplify	u^4*u^-6	$u^{4} \cdot u^{- 6}$
55089	Simplify	u^4*u^8	$u^{4} \cdot u^{8}$
55090	Simplify	u^5uu^3	$u^{5} \cdot u \cdot u^{3}$
55091	Simplify	u^5*u^3	$u^{5} \cdot u^{3}$
55092	Simplify	u^6*u^2	$u^{6} \cdot u^{2}$
55093	Simplify	u^-6*u^6	$u^{- 6} \cdot u^{6}$
55094	Simplify	(u+2)/(8u^2)*(4u^2)/(u^2+5u+6)	$\frac{u + 2}{8 u^{2}} \cdot \frac{4 u^{2}}{u^{2} + 5 u + 6}$
55095	Simplify	(uw-ut+3vw-3vt)/(w^2-t^2)*(6w+6t+uw+tu)/(36-u^2)	$\frac{u w - u t + 3 v w - 3 v t}{w^{2} - t^{2}} \cdot \frac{6 w + 6 t + u w + t u}{36 - u^{2}}$
55096	Simplify	v((- square root of 5-6 square root of 5)^2+(2 square root of 6- square root of 6)^2)	$v ({(- \sqrt{5} - 6 \sqrt{5})}^{2} + {(2 \sqrt{6} - \sqrt{6})}^{2})$
55097	Simplify	v(13(13-5)(13-10)(13-11))	$v (13 (13 - 5) (13 - 10) (13 - 11))$
55098	Simplify	v(54)	$v (54)$
55099	Simplify	square root of 0.6	$\sqrt{0.6}$
55100	Simplify	square root of (-16-3)^2+(22-20)^2	$\sqrt{{(- 16 - 3)}^{2} + {(22 - 20)}^{2}}$