Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
18201	Simplify	tan(-8)	$\tan (- 8)$
18202	Simplify	-tan(x)*cos(x)	$- \tan (x) \cdot \cos (x)$
18203	Simplify	tan(arcsec(x/3))	$\tan (arcsec (\frac{x}{3}))$
18204	Simplify	tan(285)	$\tan (285)$
18205	Simplify	tan(2pi)	$\tan (2 π)$
18206	Simplify	tan(16)	$\tan (16)$
18207	Simplify	tan(2x)-tan(2x-pi)	$\tan (2 x) - \tan (2 x - π)$
18208	Solve for z	z=arctan(y/x)	$z = \arctan (\frac{y}{x})$
18209	Solve for y	y-2=1/3*(x+2)	$y - 2 = \frac{1}{3} \cdot (x + 2)$
18210	Solve for y	y-3=1/96*(x-16)	$y - 3 = \frac{1}{96} \cdot (x - 16)$
18211	Solve for x	\|x+1\|-\|x-3\|>-1	$\| x + 1 \| - \| x - 3 \| > - 1$
18212	Solve for X	(2X-7)/(X+1)=1	$\frac{2 X - 7}{X + 1} = 1$
18213	Solve for y	y-4=4(x-1)	$y - 4 = 4 (x - 1)$
18214	Solve for y	y=2xcos(x)	$y = 2 x \cos (x)$
18215	Solve for y	x^2+y^2=22^2	$x^{2} + y^{2} = 22^{2}$
18216	Solve for y	y=arcsin(cos(-pi/3))	$y = \arcsin (\cos (- \frac{π}{3}))$
18217	Solve for y	y=sec(x)tan(x)	$y = \sec (x) \tan (x)$
18218	Solve for y	y-1=-1/11*(x-1)	$y - 1 = - \frac{1}{11} \cdot (x - 1)$
18219	Solve for y	y-6=-4(x+2)	$y - 6 = - 4 (x + 2)$
18220	Solve for z	z^2-6x+10=0	$z^{2} - 6 x + 10 = 0$
18221	Solve for k	6k^3-5k^2<4k	$6 k^{3} - 5 k^{2} < 4 k$
18222	Solve for y	(dy)/(dx)=5x-4	$\frac{d y}{d x} = 5 x - 4$
18223	Solve for x	y=(x^2)/3	$y = \frac{x^{2}}{3}$
18224	Solve for x	y=1/(2 square root of 2x-x^2)	$y = \frac{1}{2 \sqrt{2 x - x^{2}}}$
18225	Solve for y	12y-52=0	$12 y - 52 = 0$
18226	Solve for y	4y=x^5	$4 y = x^{5}$
18227	Solve for y	2y=-5	$2 y = - 5$
18228	Solve for y	y=(54-2x)/2	$y = \frac{54 - 2 x}{2}$
18229	Solve for x	x(x-1)(x+2)>0	$x (x - 1) (x + 2) > 0$
18230	Solve for x	natural log of x=1/2	$\ln (x) = \frac{1}{2}$
18231	Solve for x	sin(2x)>=sin(x)	$\sin (2 x) \geq \sin (x)$
18232	Solve for x	2-162/(x^2)=0	$2 - \frac{162}{x^{2}} = 0$
18233	Solve for x	2-32/(x^2)=0	$2 - \frac{32}{x^{2}} = 0$
18234	Solve for x	1-1/65x^2=0	$1 - \frac{1}{65} x^{2} = 0$
18235	Solve for x	2x^2+y^2=34	$2 x^{2} + y^{2} = 34$
18236	Solve for x	2x^2+1<9x-3	$2 x^{2} + 1 < 9 x - 3$
18237	Solve for x	3x^2+12x+19=7	$3 x^{2} + 12 x + 19 = 7$
18238	Solve for x	5(x-3)=8(x+5)	$5 (x - 3) = 8 (x + 5)$
18239	Solve for x	4x^2-23x-6=0	$4 x^{2} - 23 x - 6 = 0$
18240	Solve for x	6x^2-6x-36=0	$6 x^{2} - 6 x - 36 = 0$
18241	Solve for x	-60x^4+300x^3-360x^2=0	$- 60 x^{4} + 300 x^{3} - 360 x^{2} = 0$
18242	Solve for x	6x-12=0	$6 x - 12 = 0$
18243	Solve for x	6x-x^2-x^3=0	$6 x - x^{2} - x^{3} = 0$
18244	Solve for x	7=-5+4e^(-6x)	$7 = - 5 + 4 e^{- 6 x}$
18245	Solve for x	8-3x=5	$8 - 3 x = 5$
18246	Solve for x	-2x^2+4000x>700000	$- 2 x^{2} + 4000 x > 700000$
18247	Solve for x	17615+550x=0	$17615 + 550 x = 0$
18248	Solve for x	2(x+2)+3(2-x)=x-1	$2 (x + 2) + 3 (2 - x) = x - 1$
18249	Solve for x	1- natural log of 1-x>0	$1 - \ln (1 - x) > 0$
18250	Solve for x	2(x-2)^(-1/3)-2/3*(x(x-2)^(-4/3))=0	$2 {(x - 2)}^{- \frac{1}{3}} - \frac{2}{3} \cdot (x {(x - 2)}^{- \frac{4}{3}}) = 0$
18251	Solve for x	2x^4-9x^2-5=0	$2 x^{4} - 9 x^{2} - 5 = 0$
18252	Solve for x	(x+1)/(3x-1)+(2x+1)/(3x-2)=-1	$\frac{x + 1}{3 x - 1} + \frac{2 x + 1}{3 x - 2} = - 1$
18253	Solve for x	x^3+2x^2-9x-18>0	$x^{3} + 2 x^{2} - 9 x - 18 > 0$
18254	Solve for x	0 = square root of x-1+ square root of y	$0 = \sqrt{x - 1} + \sqrt{y}$
18255	Solve for x	1-3/(2x)=7/4	$1 - \frac{3}{2 x} = \frac{7}{4}$
18256	Solve for x	1-49/(x^2)=0	$1 - \frac{49}{x^{2}} = 0$
18257	Solve for x	0=x-1/70x^3	$0 = x - \frac{1}{70} x^{3}$
18258	Solve for x	120x+(73x^-3)/2-(50x^-6)/3+15x^-7=0	$120 x + \frac{73 x^{- 3}}{2} - \frac{50 x^{- 6}}{3} + 15 x^{- 7} = 0$
18259	Solve for x	(x+1)/(x-1)+(x-1)/(x+1)=13/6	$\frac{x + 1}{x - 1} + \frac{x - 1}{x + 1} = \frac{13}{6}$
18260	Solve for x	x^3-4x<0	$x^{3} - 4 x < 0$
18261	Solve for x	e^x>5	$e^{x} > 5$
18262	Solve for x	x^2y^3-2xy=6x+y+1	$x^{2} y^{3} - 2 x y = 6 x + y + 1$
18263	Solve for x	( natural log of 2- natural log of x)/x=5	$\frac{\ln (2) - \ln (x)}{x} = 5$
18264	Solve for x	log base 3 of 3x+4=2* log base 9 of 1-x-2	$\log_{3} (3 x + 4) = 2 \cdot \log_{9} (1 - x) - 2$
18265	Solve for t	s=24+64t-16t^2	$s = 24 + 64 t - 16 t^{2}$
18266	Solve for t	0=58-9.8t	$0 = 58 - 9.8 t$
18267	Solve for t	t=( natural log of 2)/(2 natural log of 1.04)	$t = \frac{\ln (2)}{2 \ln (1.04)}$
18268	Solve for x	\|12x-11\|<7	$\| 12 x - 11 \| < 7$
18269	Solve for x	((xe^-8-e^-8)-(xe^0-e^0))=1	$((x e^{- 8} - e^{- 8}) - (x e^{0} - e^{0})) = 1$
18270	Solve for x	(x-1)^2-(x+1)^2=2	${(x - 1)}^{2} - {(x + 1)}^{2} = 2$
18271	Solve for x	(\|2x-1\|)/(2-x)<1	$\frac{\| 2 x - 1 \|}{2 - x} < 1$
18272	Solve for x	-0.2x+270=0	$- 0.2 x + 270 = 0$
18273	Solve for u	\|u+2\|<6	$\| u + 2 \| < 6$
18274	Solve for x	(x^2)/9=(x^2)/36+h	$\frac{x^{2}}{9} = \frac{x^{2}}{36} + h$
18275	Solve for x	10^(3-x)=1	$10^{3 - x} = 1$
18276	Solve for x	10^x=64	$10^{x} = 64$
18277	Solve for x	e^(2x)-2e^x+1=0	$e^{2 x} - 2 e^{x} + 1 = 0$
18278	Solve for x	e^(2x)-3e^x+2<0	$e^{2 x} - 3 e^{x} + 2 < 0$
18279	Solve for x	e^x>7	$e^{x} > 7$
18280	Solve for x	6/(x-x)-6/x=1	$\frac{6}{x - x} - \frac{6}{x} = 1$
18281	Solve for x	(8x^3-27)/(2x^2-x-3)<3/2	$\frac{8 x^{3} - 27}{2 x^{2} - x - 3} < \frac{3}{2}$
18282	Solve for x	\|8+2x\|+2x=40	$\| 8 + 2 x \| + 2 x = 40$
18283	Solve for x	2/3x^2-x=1/3	$\frac{2}{3} x^{2} - x = \frac{1}{3}$
18284	Solve for x	\|x-5\|=6	$\| x - 5 \| = 6$
18285	Solve for x	10^(x+4)=100^x	$10^{x + 4} = 100^{x}$
18286	Simplify	2.33	$2.33$
18287	Simplify	2*pi/2	$2 \cdot \frac{π}{2}$
18288	Simplify	2*pi/4	$2 \cdot \frac{π}{4}$
18289	Simplify	2(2+h)^2	$2 {(2 + h)}^{2}$
18290	Simplify	-2(3t^2-3)(1-t)^(1/2)	$- 2 (3 t^{2} - 3) {(1 - t)}^{\frac{1}{2}}$
18291	Simplify	2e^3	$2 e^{3}$
18292	Simplify	2t^3	$2 t^{3}$
18293	Simplify	2e^(-x)-2xe^(-x)+(-x^2)e^(-x)+2xe^(-x)-e^(-x)	$2 e^{- x} - 2 x e^{- x} + (- x^{2}) e^{- x} + 2 x e^{- x} - e^{- x}$
18294	Simplify	24.99^2-54.99	$2 \cdot {4.99}^{2} - 5 \cdot 4.99$
18295	Simplify	2(n+2)^2-3(n+2)-2	$2 {(n + 2)}^{2} - 3 (n + 2) - 2$
18296	Simplify	2cos(pi/16)^4+2cos((3pi)/16)^4+2cos((5pi)/16)^4	$2 \cos^{4} (\frac{π}{16}) + 2 \cos^{4} (\frac{3 π}{16}) + 2 \cos^{4} (\frac{5 π}{16})$
18297	Simplify	1-sin(pi/2)	$1 - \sin (\frac{π}{2})$
18298	Simplify	1-sin(pi/3)	$1 - \sin (\frac{π}{3})$
18299	Simplify	1536-960+3+x square root of 383-5x square root of 283+ square root of 83	$1536 - 960 + 3 + x \sqrt{383 - 5} x \sqrt{283} + \sqrt{83}$
18300	Simplify	18cos(pi/2)	$18 \cos (\frac{π}{2})$