Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
12501	Simplify	8/(3x-18)-(x+1)/(x^2-5x-6)	$\frac{8}{3 x - 18} - \frac{x + 1}{x^{2} - 5 x - 6}$
12502	Simplify	7^x-6	$7^{x} - 6$
12503	Simplify	(8sin(x)^2+10sin(x)+3)/(2sin(x)^2+3sin(x)+1)	$\frac{8 \sin^{2} (x) + 10 \sin (x) + 3}{2 \sin^{2} (x) + 3 \sin (x) + 1}$
12504	Simplify	(8y^3-27)/(2y-3)	$\frac{8 y^{3} - 27}{2 y - 3}$
12505	Simplify	(8y^4)/(12y^5)	$\frac{8 y^{4}}{12 y^{5}}$
12506	Simplify	square root of 3(2+ square root of 3)	$\sqrt{3} (2 + \sqrt{3})$
12507	Simplify	64^2y^12	$64^{2} y^{12}$
12508	Simplify	6/(7p)-5/(2p^2)	$\frac{6}{7 p} - \frac{5}{2 p^{2}}$
12509	Simplify	7/(a^2)-4/(ab)+5/(b^2)	$\frac{7}{a^{2}} - \frac{4}{a b} + \frac{5}{b^{2}}$
12510	Simplify	7/(x/(x+7))	$\frac{7}{\frac{x}{x + 7}}$
12511	Simplify	(7+4j)/(4+j)	$\frac{7 + 4 j}{4 + j}$
12512	Simplify	(7a)/(6a^2-15a)+(12a)/(4a^2-25)	$\frac{7 a}{6 a^{2} - 15 a} + \frac{12 a}{4 a^{2} - 25}$
12513	Simplify	(7x+9)/(9x-7)-(9x)/(9x-7)	$\frac{7 x + 9}{9 x - 7} - \frac{9 x}{9 x - 7}$
12514	Simplify	i^1004	$i^{1004}$
12515	Simplify	h^2j^-3(2hj^4-h^-2j^-1)	$h^{2} j^{- 3} (2 h j^{4} - h^{- 2} j^{- 1})$
12516	Simplify	e^(x-1)+2	$e^{x - 1} + 2$
12517	Simplify	e^12	$e^{12}$
12518	Simplify	e^1.5	$e^{1.5}$
12519	Simplify	e^(-2x)	$e^{- 2 x}$
12520	Simplify	e^(2x)e^(-3x)	$e^{2 x} e^{- 3 x}$
12521	Simplify	e^(2x)-2e^x-10	$e^{2 x} - 2 e^{x} - 10$
12522	Simplify	e^(ix)	$e^{i x}$
12523	Simplify	e^x=5.7	$e^{x} = 5.7$
12524	Simplify	e^(x+3)	$e^{x + 3}$
12525	Simplify	e^(2x)-15e^x+14	$e^{2 x} - 15 e^{x} + 14$
12526	Simplify	i^140	$i^{140}$
12527	Simplify	i^105-i^-222+i^-32-2i	$i^{105} - i^{- 222} + i^{- 32} - 2 i$
12528	Simplify	i^139	$i^{139}$
12529	Simplify	i^175	$i^{175}$
12530	Simplify	i^1602	$i^{1602}$
12531	Simplify	i^-169	$i^{- 169}$
12532	Simplify	i^323	$i^{323}$
12533	Simplify	i^7(1+i^2)	$i^{7} (1 + i^{2})$
12534	Simplify	i^-85	$i^{- 85}$
12535	Simplify	i^46+i^47	$i^{46} + i^{47}$
12536	Simplify	e^(5/3)	$e^{\frac{5}{3}}$
12537	Simplify	arccsc(sin((2pi)/3))	$arccsc (\sin (\frac{2 π}{3}))$
12538	Simplify	csc(35)^2-tan(55)^2	$\csc^{2} (35) - \tan^{2} (55)$
12539	Simplify	csc(40)^2-tan(50)^2	$\csc^{2} (40) - \tan^{2} (50)$
12540	Simplify	(csc(t))/(cot(t))	$\frac{\csc (t)}{\cot (t)}$
12541	Simplify	(csc(x))/(cot(x)sec(x))	$\frac{\csc (x)}{\cot (x) \sec (x)}$
12542	Simplify	(csc(x))/(sin(x))	$\frac{\csc (x)}{\sin (x)}$
12543	Simplify	(x^(4/3)y^(-2/3))/((x^2y)^(1/3))	$\frac{x^{\frac{4}{3}} y^{- \frac{2}{3}}}{{(x^{2} y)}^{\frac{1}{3}}}$
12544	Simplify	cot(x)^2cos(x)^2	$\cot^{2} (x) \cos^{2} (x)$
12545	Simplify	(cot(x))/(csc(-x))	$\frac{\cot (x)}{\csc (- x)}$
12546	Simplify	(cot(x)-tan(x))/(cot(x)+tan(x))	$\frac{\cot (x) - \tan (x)}{\cot (x) + \tan (x)}$
12547	Simplify	fourth root of (-7)^4	$\sqrt[4]{{(- 7)}^{4}}$
12548	Simplify	(cos(y)+1)/(1+sec(y))	$\frac{\cos (y) + 1}{1 + \sec (y)}$
12549	Simplify	arccos(cos(x))	$\arccos (\cos (x))$
12550	Simplify	( cube root of 54)/( cube root of 10)	$\frac{\sqrt[3]{54}}{\sqrt[3]{10}}$
12551	Simplify	cos(2x)^2-sin(2x)	$\cos^{2} (2 x) - \sin (2 x)$
12552	Simplify	cos(37)^2-sin(37)^2	$\cos^{2} (37) - \sin^{2} (37)$
12553	Simplify	cos(3theta)^2-sin(3theta)^2	$\cos^{2} (3 θ) - \sin^{2} (3 θ)$
12554	Simplify	cos(4x)^2-sin(4x)^2	$\cos^{2} (4 x) - \sin^{2} (4 x)$
12555	Simplify	cos(75)^2-sin(75)^2	$\cos^{2} (75) - \sin^{2} (75)$
12556	Simplify	cos(pi/13)^2-sin(pi/13)^2	$\cos^{2} (\frac{π}{13}) - \sin^{2} (\frac{π}{13})$
12557	Simplify	(cot(x))/(1+csc(x))	$\frac{\cot (x)}{1 + \csc (x)}$
12558	Simplify	(cot(x))/(1-tan(x))+(tan(x))/(1-cot(x))	$\frac{\cot (x)}{1 - \tan (x)} + \frac{\tan (x)}{1 - \cot (x)}$
12559	Simplify	(cot(-t))/(cos(-t))	$\frac{\cot (- t)}{\cos (- t)}$
12560	Simplify	(cot(t))/(csc(t))	$\frac{\cot (t)}{\csc (t)}$
12561	Simplify	(cot(2x)-tan(2x))/(sin(2x)+cos(2x))	$\frac{\cot (2 x) - \tan (2 x)}{\sin (2 x) + \cos (2 x)}$
12562	Simplify	4sin(2x)	$4 \sin (2 x)$
12563	Simplify	4tan(pi/3)+cos(pi/6)tan(pi/6)	$4 \tan (\frac{π}{3}) + \cos (\frac{π}{6}) \tan (\frac{π}{6})$
12564	Simplify	4sin(x)cos(x)csc(x)	$4 \sin (x) \cos (x) \csc (x)$
12565	Simplify	4sin(x-pi/2)-2	$4 \sin (x - \frac{π}{2}) - 2$
12566	Simplify	4x+9	$4 x + 9$
12567	Simplify	4x-7*(x+7)/4	$4 x - 7 \cdot \frac{x + 7}{4}$
12568	Simplify	5(3t-4)-(t^2+2)-2t(t-3)	$5 (3 t - 4) - (t^{2} + 2) - 2 t (t - 3)$
12569	Simplify	4sin(4x)cos(4x)	$4 \sin (4 x) \cos (4 x)$
12570	Simplify	5(2x-3)+7x	$5 (2 x - 3) + 7 x$
12571	Simplify	5sin(x)^2+5cos(x)^2	$5 \sin^{2} (x) + 5 \cos^{2} (x)$
12572	Simplify	5 square root of 98m^2n^5-3m square root of 16n^5	$5 \sqrt{98 m^{2} n^{5}} - 3 m \sqrt{16 n^{5}}$
12573	Simplify	5(2x+1)^2+(5x-6)(2(2x+1))2	$5 {(2 x + 1)}^{2} + (5 x - 6) \cdot (2 (2 x + 1)) \cdot 2$
12574	Simplify	5w^2(w-9)-7(w-9)	$5 w^{2} (w - 9) - 7 (w - 9)$
12575	Simplify	-5v^-4	$- 5 v^{- 4}$
12576	Simplify	5 square root of 442	$5 \sqrt{442}$
12577	Simplify	5a^2-3a-2	$5 a^{2} - 3 a - 2$
12578	Simplify	5a cube root of 24a^2+3 cube root of 4b^4- cube root of 192a^5-6b cube root of 32b	$5 a \sqrt[3]{24 a^{2}} + 3 \sqrt[3]{4 b^{4}} - \sqrt[3]{192 a^{5}} - 6 b \sqrt[3]{32 b}$
12579	Simplify	-5w-w/2	$- 5 w - \frac{w}{2}$
12580	Simplify	6(6x-5)-5	$6 (6 x - 5) - 5$
12581	Simplify	-6(2-8i)+3(5+7i)	$- 6 (2 - 8 i) + 3 (5 + 7 i)$
12582	Simplify	5y(x^-1y^-2)^-2	$5 y {(x^{- 1} y^{- 2})}^{- 2}$
12583	Simplify	5-4x-7x+4	$5 - 4 x - 7 x + 4$
12584	Simplify	5280*tan(30.3)	$5280 \cdot \tan (30.3)$
12585	Simplify	-5x(8-x^3)	$- 5 x (8 - x^{3})$
12586	Simplify	4x^2-8x	$4 x^{2} - 8 x$
12587	Simplify	4csc((3pi)/4)-cot(-pi/4)	$4 \csc (\frac{3 π}{4}) - \cot (- \frac{π}{4})$
12588	Simplify	48*pi/180	$48 \cdot \frac{π}{180}$
12589	Simplify	4xe^(-x)+e^(-x)	$4 x e^{- x} + e^{- x}$
12590	Simplify	4+7i^22+3-6i^32	$4 + 7 i^{22} + 3 - 6 i^{32}$
12591	Simplify	4-4 square root of 3i	$4 - 4 \sqrt{3} i$
12592	Simplify	4e^(2.5i)	$4 e^{2.5 i}$
12593	Simplify	4cos(x)^3-3cos(x)	$4 \cos^{3} (x) - 3 \cos (x)$
12594	Simplify	3i(2+i)	$3 i (2 + i)$
12595	Simplify	4( square root of 64)^3y^8*(4 square root of 121h)	$4 {(\sqrt{64})}^{3} y^{8} \cdot (4 \sqrt{121 h})$
12596	Simplify	4a^3b^2*(3a^4b^3)	$4 a^{3} b^{2} \cdot (3 a^{4} b^{3})$
12597	Simplify	4sin(x)^2+8sin(x)+4	$4 \sin^{2} (x) + 8 \sin (x) + 4$
12598	Simplify	4x^2-36	$4 x^{2} - 36$
12599	Simplify	4x^2-3x	$4 x^{2} - 3 x$
12600	Simplify	4x^3+3x+6	$4 x^{3} + 3 x + 6$