Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
12101	Simplify	12x+4-3x^2	$12 x + 4 - 3 x^{2}$
12102	Simplify	13.6*sin(72)	$13.6 \cdot \sin (72)$
12103	Simplify	137+6y+y^2+x^(2+24x)	$137 + 6 y + y^{2} + x^{2 + 24 x}$
12104	Simplify	159 degrees	$159 °$
12105	Simplify	12sin(42)	$12 \sin (42)$
12106	Simplify	2sin(2x)cos(2x)	$2 \sin (2 x) \cos (2 x)$
12107	Simplify	2sin(pi/6)+cos((2pi)/6)	$2 \sin (\frac{π}{6}) + \cos (\frac{2 π}{6})$
12108	Simplify	2sin(4x)cos(4x)	$2 \sin (4 x) \cos (4 x)$
12109	Simplify	2sec(x)tan(x)	$2 \sec (x) \tan (x)$
12110	Simplify	2cot(x)	$2 \cot (x)$
12111	Simplify	2x+\|x-2\|	$2 x + \| x - 2 \|$
12112	Simplify	2tan(pi/3)+cos(pi/3)tan(pi/6)	$2 \tan (\frac{π}{3}) + \cos (\frac{π}{3}) \tan (\frac{π}{6})$
12113	Simplify	2tan(pi/3)+cos(pi/4)tan(pi/6)	$2 \tan (\frac{π}{3}) + \cos (\frac{π}{4}) \tan (\frac{π}{6})$
12114	Simplify	2tan(pi/4)+cos(pi/6)tan(pi/3)	$2 \tan (\frac{π}{4}) + \cos (\frac{π}{6}) \tan (\frac{π}{3})$
12115	Simplify	-2sin(x+1)	$- 2 \sin (x + 1)$
12116	Simplify	2sin(x)cos(x)+11cos(x)	$2 \sin (x) \cos (x) + 11 \cos (x)$
12117	Simplify	2cos(t)tan(t)	$2 \cos (t) \tan (t)$
12118	Simplify	27y^3-512x^9z^6	$27 y^{3} - 512 x^{9} z^{6}$
12119	Simplify	28+0.16(x-230)	$28 + 0.16 (x - 230)$
12120	Simplify	2700sin(1.3)	$2700 \sin (1.3)$
12121	Simplify	25+(-10+11i)+15i	$25 + (- 10 + 11 i) + 15 i$
12122	Simplify	2cos(2x)+1	$2 \cos (2 x) + 1$
12123	Simplify	2cos(4x)	$2 \cos (4 x)$
12124	Simplify	2cos((6x+4x)/2)cos((6x-4x)/2)	$2 \cos (\frac{6 x + 4 x}{2}) \cos (\frac{6 x - 4 x}{2})$
12125	Simplify	2cos(pi/3)-1	$2 \cos (\frac{π}{3}) - 1$
12126	Simplify	2cos(pi/8)-1	$2 \cos (\frac{π}{8}) - 1$
12127	Simplify	2cos(pi/6)-6tan(pi/3)	$2 \cos (\frac{π}{6}) - 6 \tan (\frac{π}{3})$
12128	Simplify	2cos(2x)- square root of 3	$2 \cos (2 x) - \sqrt{3}$
12129	Simplify	2cos(2x)	$2 \cos (2 x)$
12130	Simplify	2cot(x)cot(2x)	$2 \cot (x) \cot (2 x)$
12131	Simplify	2i(1/2-i)	$2 i (\frac{1}{2} - i)$
12132	Simplify	2i(4+3i)^2	$2 i {(4 + 3 i)}^{2}$
12133	Simplify	2-2 square root of 3i	$2 - 2 \sqrt{3} i$
12134	Simplify	225(pi/180)	$225 (\frac{π}{180})$
12135	Simplify	243c^5+810c^4d+1080c^3d^2+720c^2d^3+240cd^4+32d^5	$243 c^{5} + 810 c^{4} d + 1080 c^{3} d^{2} + 720 c^{2} d^{3} + 240 c d^{4} + 32 d^{5}$
12136	Simplify	2- square root of -27	$2 - \sqrt{- 27}$
12137	Simplify	2 square root of 3-2i	$2 \sqrt{3} - 2 i$
12138	Simplify	2x^2+4x+1	$2 x^{2} + 4 x + 1$
12139	Simplify	3(5a+3c)(2a-3c)-(4a+c)^2-(a+4c)(a-4c)	$3 (5 a + 3 c) (2 a - 3 c) - {(4 a + c)}^{2} - (a + 4 c) (a - 4 c)$
12140	Simplify	3sec(x)^2-4	$3 \sec^{2} (x) - 4$
12141	Simplify	3pn^-4*(4nm^4p^3)	$3 p n^{- 4} \cdot (4 n m^{4} p^{3})$
12142	Simplify	3(x-1)^(3/2)+6(x-1)^(1/2)-9(x-1)^(-1/2)	$3 {(x - 1)}^{\frac{3}{2}} + 6 {(x - 1)}^{\frac{1}{2}} - 9 {(x - 1)}^{- \frac{1}{2}}$
12143	Simplify	3i^7(i-5i^3)	$3 i^{7} (i - 5 i^{3})$
12144	Simplify	-3(5b+3)^3	$- 3 {(5 b + 3)}^{3}$
12145	Simplify	3(2+y)^3	$3 {(2 + y)}^{3}$
12146	Simplify	3*tan(65)	$3 \cdot \tan (65)$
12147	Simplify	2x+3x^2(4x-5)	$2 x + 3 x^{2} (4 x - 5)$
12148	Simplify	2y-3y(4-2(y-1))	$2 y - 3 y (4 - 2 (y - 1))$
12149	Simplify	3((x+3)/8)-8	$3 (\frac{x + 3}{8}) - 8$
12150	Simplify	2x cube root of 54x^4+4 cube root of 16x^7	$2 x \sqrt[3]{54 x^{4}} + 4 \sqrt[3]{16 x^{7}}$
12151	Simplify	3(-10x+15)+5	$3 (- 10 x + 15) + 5$
12152	Simplify	3(5-x)+5	$3 (5 - x) + 5$
12153	Simplify	3(6-x)+6	$3 (6 - x) + 6$
12154	Simplify	3(cos(pi/3)+isin(pi/3))	$3 (\cos (\frac{π}{3}) + i \sin (\frac{π}{3}))$
12155	Simplify	3(x-1)+4(x+2)	$3 (x - 1) + 4 (x + 2)$
12156	Simplify	3*180/p	$3 \cdot \frac{180}{p}$
12157	Simplify	-3x^2y(x^2-2xy+4y^3)	$- 3 x^{2} y (x^{2} - 2 x y + 4 y^{3})$
12158	Simplify	3168*1/(2p)	$3168 \cdot \frac{1}{2 p}$
12159	Simplify	32x^5-240x^4y+720x^3y^2-1080x^2y^3+810xy^4-243y^5	$32 x^{5} - 240 x^{4} y + 720 x^{3} y^{2} - 1080 x^{2} y^{3} + 810 x y^{4} - 243 y^{5}$
12160	Simplify	32 degrees	$32 °$
12161	Simplify	3z^2(2z^3)^2	$3 z^{2} {(2 z^{3})}^{2}$
12162	Simplify	3-4(3-x)/4	$3 - 4 \frac{3 - x}{4}$
12163	Simplify	36-(x-5)^2	$36 - {(x - 5)}^{2}$
12164	Simplify	38i	$38 i$
12165	Simplify	3cos(((5pi)/4)-pi/4)*(3/2)-2	$3 \cos ((\frac{5 π}{4}) - \frac{π}{4}) \cdot (\frac{3}{2}) - 2$
12166	Simplify	3-2i	$3 - 2 i$
12167	Simplify	3csc((2pi)/3)+sin((5pi)/6)	$3 \csc (\frac{2 π}{3}) + \sin (\frac{5 π}{6})$
12168	Simplify	3x^2-4	$3 x^{2} - 4$
12169	Simplify	3x^2+6x-2	$3 x^{2} + 6 x - 2$
12170	Simplify	3x^2-5x^2+2x	$3 x^{2} - 5 x^{2} + 2 x$
12171	Simplify	3+ square root of (3m)^2-4	$3 + \sqrt{{(3 m)}^{2} - 4}$
12172	Simplify	-3x^2e^(-2x)+3xe^(-2x)	$- 3 x^{2} e^{- 2 x} + 3 x e^{- 2 x}$
12173	Simplify	square root of 281	$\sqrt{281}$
12174	Simplify	square root of 25-x^2+(x^2)/( square root of 25-x^2)	$\sqrt{25 - x^{2}} + \frac{x^{2}}{\sqrt{25 - x^{2}}}$
12175	Simplify	square root of 25x+ square root of x^9	$\sqrt{25 x} + \sqrt{x^{9}}$
12176	Simplify	square root of 3cot(x)+1	$\sqrt{3} \cot (x) + 1$
12177	Simplify	(2y-6x)/(3x)	$\frac{2 y - 6 x}{3 x}$
12178	Simplify	square root of 1-x-2	$\sqrt{1 - x} - 2$
12179	Simplify	square root of 125x^3- square root of 5x	$\sqrt{125 x^{3}} - \sqrt{5 x}$
12180	Simplify	(y^-1+x^-1)/((xy)^-1)	$\frac{(y^{- 1} + x^{- 1})}{{(x y)}^{- 1}}$
12181	Simplify	3 cube root of 16	$3 \sqrt[3]{16}$
12182	Simplify	square root of 5x-6 square root of 20x+3 square root of 180x	$\sqrt{5 x} - 6 \sqrt{20 x} + 3 \sqrt{180 x}$
12183	Simplify	square root of 3cos(30)+1sin(30)	$\sqrt{3} \cos (30) + 1 \sin (30)$
12184	Simplify	square root of 5 square root of 5+ square root of 5	$\sqrt{5} \sqrt{5 + \sqrt{5}}$
12185	Simplify	square root of 5x* square root of 121x	$\sqrt{5 x} \cdot \sqrt{121 x}$
12186	Simplify	square root of 3x+7+ square root of 3x-7	$\sqrt{3 x + 7} + \sqrt{3 x - 7}$
12187	Simplify	square root of 4x-1+1/x	$\sqrt{4 x - 1} + \frac{1}{x}$
12188	Simplify	u^(5/3)u^(2/3)	$u^{\frac{5}{3}} u^{\frac{2}{3}}$
12189	Simplify	(x-x/y)/(y-y/x)	$\frac{x - \frac{x}{y}}{y - \frac{y}{x}}$
12190	Simplify	(x+(6+x^2))(x-(6+x^2))	$(x + (6 + x^{2})) (x - (6 + x^{2}))$
12191	Simplify	square root of 10 square root of 7 square root of 2- square root of 315a^2	$\sqrt{10} \sqrt{7} \sqrt{2} - \sqrt{315 a^{2}}$
12192	Simplify	6 square root of 17x-8 square root of 17x	$6 \sqrt{17 x} - 8 \sqrt{17 x}$
12193	Simplify	square root of x^2-4+(x^2)/(x^2+1)	$\sqrt{x^{2} - 4} + \frac{x^{2}}{x^{2} + 1}$
12194	Simplify	(x^3+5x^2+6x)/(x^2-4)	$\frac{x^{3} + 5 x^{2} + 6 x}{x^{2} - 4}$
12195	Simplify	square root of 17/2	$\sqrt{\frac{17}{2}}$
12196	Simplify	square root of -9/4	$\sqrt{\frac{- 9}{4}}$
12197	Simplify	arctan(-12/5)	$\arctan (- \frac{12}{5})$
12198	Simplify	(tan(x)-sin(x))/(2tan(x))	$\frac{\tan (x) - \sin (x)}{2 \tan (x)}$
12199	Simplify	arctan(30/20)-arctan(6/20)	$\arctan (\frac{30}{20}) - \arctan (\frac{6}{20})$
12200	Simplify	arctan(1.875)	$\arctan (1.875)$