Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
3201	Simplify	(-12x^5)^-2	${(- 12 x^{5})}^{- 2}$
3202	Simplify	(125x^6)^(2/3)	${(125 x^{6})}^{\frac{2}{3}}$
3203	Simplify	(16x^4y^6)^(-3/2)	${(16 x^{4} y^{6})}^{- \frac{3}{2}}$
3204	Simplify	(1+1/x)^2-(1-1/x)^2	${(1 + \frac{1}{x})}^{2} - {(1 - \frac{1}{x})}^{2}$
3205	Simplify	(2y^2)^4	${(2 y^{2})}^{4}$
3206	Simplify	(25x^4y^6)^(1/2)	${(25 x^{4} y^{6})}^{\frac{1}{2}}$
3207	Solve for x	x-8 square root of x+15=0	$x - 8 \sqrt{x} + 15 = 0$
3208	Solve for x	p=-1/6x+100	$p = - \frac{1}{6} x + 100$
3209	Solve for x	x=-1/8y^2	$x = - \frac{1}{8} y^{2}$
3210	Solve for x	7x^3+3x^2-29x+11=0	$7 x^{3} + 3 x^{2} - 29 x + 11 = 0$
3211	Solve for x	9x^2-1=0	$9 x^{2} - 1 = 0$
3212	Solve for x	a-2(b-3(c-x))=6	$a - 2 (b - 3 (c - x)) = 6$
3213	Solve for x	12=10^(x+3)-9	$12 = 10^{x + 3} - 9$
3214	Solve for x	x/4-5/3=(3x)/8	$\frac{x}{4} - \frac{5}{3} = \frac{3 x}{8}$
3215	Solve for x	x^4-3x^3=81+18x-5x^3	$x^{4} - 3 x^{3} = 81 + 18 x - 5 x^{3}$
3216	Simplify	(2-8i)(2+8i)	$(2 - 8 i) (2 + 8 i)$
3217	Simplify	3x^2+x+1+(2x^2-3x-5)	$3 x^{2} + x + 1 + (2 x^{2} - 3 x - 5)$
3218	Simplify	(-2+3i)+2(5+6i)	$(- 2 + 3 i) + 2 (5 + 6 i)$
3219	Simplify	(2+3i)(3-2i)	$(2 + 3 i) (3 - 2 i)$
3220	Simplify	(-2a^(3/4))(5a^(3/2))	$(- 2 a^{\frac{3}{4}}) (5 a^{\frac{3}{2}})$
3221	Simplify	(1-4i)(3-2i)	$(1 - 4 i) (3 - 2 i)$
3222	Simplify	(x^(7/2)+y^(7/2))(x^(7/2)-y^(7/2))	$(x^{\frac{7}{2}} + y^{\frac{7}{2}}) (x^{\frac{7}{2}} - y^{\frac{7}{2}})$
3223	Simplify	4 square root of 54-3 square root of 96+5 square root of 24- square root of 150	$4 \sqrt{54} - 3 \sqrt{96} + 5 \sqrt{24} - \sqrt{150}$
3224	Solve for y	y=ax^2+bx+c	$y = a x^{2} + b x + c$
3225	Solve for y	3y+5x=7	$3 y + 5 x = 7$
3226	Simplify	((x^4z^2)/(4y^5))((2x^3y^2)/(z^3))^2	$(\frac{x^{4} z^{2}}{4 y^{5}}) {(\frac{2 x^{3} y^{2}}{z^{3}})}^{2}$
3227	Solve for y	y^4+3y^2-28=0	$y^{4} + 3 y^{2} - 28 = 0$
3228	Solve for y	3y+5=0	$3 y + 5 = 0$
3229	Solve for y	81y^4+1=18y^2	$81 y^{4} + 1 = 18 y^{2}$
3230	Solve for y	5x+10y=7	$5 x + 10 y = 7$
3231	Solve for y	\|7y-6\|=\|6-7y\|	$\| 7 y - 6 \| = \| 6 - 7 y \|$
3232	Solve for y	y=6^-2	$y = 6^{- 2}$
3233	Solve for y	y=-3cos((6pi)/12-pi)	$y = - 3 \cos (\frac{6 π}{12} - π)$
3234	Solve for c	c/-6=-1/6	$\frac{c}{- 6} = \frac{- 1}{6}$
3235	Solve for k	1.5=k/20	$1.5 = \frac{k}{20}$
3236	Solve for b	(a-1)+(b+3)i=5+8i	$(a - 1) + (b + 3) i = 5 + 8 i$
3237	Solve for b	1/b=1/(x+b)+1/(x-b)	$\frac{1}{b} = \frac{1}{x + b} + \frac{1}{x - b}$
3238	Solve for y	y=sin(x)	$y = \sin (x)$
3239	Solve for z	y^2+3yz-8z-4x=0	$y^{2} + 3 y z - 8 z - 4 x = 0$
3240	Solve for x	(1/6)^(3x+2)*216^(3x)=1/216	${(\frac{1}{6})}^{3 x + 2} \cdot 216^{3 x} = \frac{1}{216}$
3241	Solve for x	(1/e)^-1=(1/(e^2))^(x+1)	${(\frac{1}{e})}^{- 1} = {(\frac{1}{e^{2}})}^{x + 1}$
3242	Solve for x	(x^2+6)^(2/3)=16	${(x^{2} + 6)}^{\frac{2}{3}} = 16$
3243	Solve for x	\|2-4x\|=12	$\| 2 - 4 x \| = 12$
3244	Solve for x	1/27=3^(2x)	$\frac{1}{27} = 3^{2 x}$
3245	Solve for x	10/(x+4)-3/4=7/(4x+16)	$\frac{10}{x + 4} - \frac{3}{4} = \frac{7}{4 x + 16}$
3246	Solve for t	2cos(t)+1=0	$2 \cos (t) + 1 = 0$
3247	Solve for t	(t-4)^2=(t+4)^2+32	${(t - 4)}^{2} = {(t + 4)}^{2} + 32$
3248	Solve for x	square root of 2x-5=7	$\sqrt{2 x - 5} = 7$
3249	Solve for x	square root of square root of x-5+x=5	$\sqrt{\sqrt{x - 5} + x} = 5$
3250	Solve for x	ap^2+py-x=0	$a p^{2} + p y - x = 0$
3251	Solve for x	e^(-3x)=1/3	$e^{- 3 x} = \frac{1}{3}$
3252	Solve for x	square root of 7x+x=0	$\sqrt{7 x} + x = 0$
3253	Solve for ?	tan(theta)=1	$\tan (θ) = 1$
3254	Find the Foci	(x^2)/81+(y^2)/225=1	$\frac{x^{2}}{81} + \frac{y^{2}}{225} = 1$
3255	Solve for x	log of 5+x- log of x-4 = log of 2	$\log (5 + x) - \log (x - 4) = \log (2)$
3256	Solve for x	log of 7-3x=2	$\log (7 - 3 x) = 2$
3257	Solve for x	log of 9x+6=2	$\log (9 x + 6) = 2$
3258	Solve for x	log of 4=1+ log of x-1	$\log (4) = 1 + \log (x - 1)$
3259	Solve for x	log of 3x+1=5	$\log (3 x + 1) = 5$
3260	Solve for x	log of x+ log of x-30=3	$\log (x) + \log (x - 30) = 3$
3261	Solve for x	log of x+ log of x-2 = log of 3x	$\log (x) + \log (x - 2) = \log (3 x)$
3262	Solve for x	log of x+ log of x-3 = log of 28	$\log (x) + \log (x - 3) = \log (28)$
3263	Solve for x	- log of x=5.1	$- \log (x) = 5.1$
3264	Solve for x	x^4-7x^2+10=0	$x^{4} - 7 x^{2} + 10 = 0$
3265	Solve for x	log of x- log of x+1=-1	$\log (x) - \log (x + 1) = - 1$
3266	Solve for x	sec(90-x)=2	$\sec (90 - x) = 2$
3267	Solve for x	log of x+7- log of 2 = log of 3x+2	$\log (x + 7) - \log (2) = \log (3 x + 2)$
3268	Solve for x	log of x+8+ log of x-1=1	$\log (x + 8) + \log (x - 1) = 1$
3269	Solve for x	log of x+3+ log of x-2 = log of 14	$\log (x + 3) + \log (x - 2) = \log (14)$
3270	Solve for x	log of x-15=2- log of x	$\log (x - 15) = 2 - \log (x)$
3271	Solve for x	log of x-3=2	$\log (x - 3) = 2$
3272	Solve for x	log of square root of x^3-9=2	$\log (\sqrt{x^{3} - 9}) = 2$
3273	Solve for x	natural log of x-4=0	$\ln (x - 4) = 0$
3274	Solve for x	natural log of x+4- natural log of x=5	$\ln (x + 4) - \ln (x) = 5$
3275	Solve for x	natural log of x+2- natural log of x=2	$\ln (x + 2) - \ln (x) = 2$
3276	Solve for x	natural log of x+8 = natural log of x+ natural log of 8	$\ln (x + 8) = \ln (x) + \ln (8)$
3277	Solve for x	natural log of x-1=2	$\ln (x - 1) = 2$
3278	Solve for x	natural log of x- natural log of 3=2	$\ln (x) - \ln (3) = 2$
3279	Solve for x	natural log of x- natural log of 4=0	$\ln (x) - \ln (4) = 0$
3280	Solve for x	x^3-3x+1=0	$x^{3} - 3 x + 1 = 0$
3281	Solve for x	natural log of 3x- natural log of 4=2	$\ln (3 x) - \ln (4) = 2$
3282	Solve for x	natural log of 2x-1=5	$\ln (2 x - 1) = 5$
3283	Solve for x	natural log of 2x-3=14	$\ln (2 x - 3) = 14$
3284	Solve for x	natural log of x^2-7x+11=0	$\ln (x^{2} - 7 x + 11) = 0$
3285	Solve for x	natural log of 6=5- natural log of x	$\ln (6) = 5 - \ln (x)$
3286	Solve for x	natural log of 6- natural log of 2x=3	$\ln (6) - \ln (2 x) = 3$
3287	Solve for x	natural log of 7=x	$\ln (7) = x$
3288	Solve for x	natural log of x+ natural log of (x)^2=5	$\ln (x) + \ln ({(x)}^{2}) = 5$
3289	Solve for x	natural log of x+ natural log of x+6=9	$\ln (x) + \ln (x + 6) = 9$
3290	Solve for x	natural log of x+ natural log of x+12=9	$\ln (x) + \ln (x + 12) = 9$
3291	Solve for x	natural log of x+ natural log of x+8=4	$\ln (x) + \ln (x + 8) = 4$
3292	Solve for x	csc(x)=- square root of 2	$\csc (x) = - \sqrt{2}$
3293	Solve for x	natural log of e^4=x	$\ln (e^{4}) = x$
3294	Solve for x	natural log of square root of x+1=7	$\ln (\sqrt{x + 1}) = 7$
3295	Solve for x	natural log of e^x=5	$\ln (e^{x}) = 5$
3296	Solve for x	natural log of square root of x+7=2	$\ln (\sqrt{x + 7}) = 2$
3297	Solve for x	csc(x)=4	$\csc (x) = 4$
3298	Solve for x	cos(x)+2cos(x)sin(x)=0	$\cos (x) + 2 \cos (x) \sin (x) = 0$
3299	Solve for x	cos(7x)=1	$\cos (7 x) = 1$
3300	Solve for x	cos(8x)=-1	$\cos (8 x) = - 1$