Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
43201	Graph	k-3<-7 or k+5>=8	$k - 3 < - 7$ or $k + 5 \geq 8$
43202	Find the Antiderivative	f(x)=1/(sin(4x-pi/3)^2)	$f (x) = \frac{1}{\sin^{2} (4 x - \frac{π}{3})}$
43203	Simplify	x/(2x-1)+(x+2)/x	$\frac{x}{2 x - 1} + \frac{x + 2}{x}$
43204	Find the Derivative - d/dx	5e^x+5e^(-x)	$5 e^{x} + 5 e^{- x}$
43205	Find the Product	(6y^2+5y^4)^2	${(6 y^{2} + 5 y^{4})}^{2}$
43206	Graph	-2x-4>-20 or -2x-4<-28	$- 2 x - 4 > - 20$ or $- 2 x - 4 < - 28$
43207	Simplify	cube root of x2/3	$\sqrt[3]{x \frac{2}{3}}$
43208	Simplify the Radical Expression	(-64)(1/3)	$(- 64) (\frac{1}{3})$
43209	Simplify	square root of 72 square root of 32 square root of 8	$\sqrt{72} \sqrt{32} \sqrt{8}$
43210	Find the Maximum/Minimum Value	x^(2/3)	$x^{\frac{2}{3}}$
43211	Solve the Rational Equation for x	(x-6)^(5/2)=243	${(x - 6)}^{\frac{5}{2}} = 243$
43212	Find the Derivative - d/dD(x)	D_x((2x+5)/(x^2-1))	$D_{x} (\frac{2 x + 5}{x^{2} - 1})$
43213	Find the Complex Conjugate	-5/6+1/6i	$- \frac{5}{6} + \frac{1}{6} i$
43214	Evaluate the Limit	limit as x approaches 15 of 2/( square root of x+5)	$lim_{x \to 15} \frac{2}{\sqrt{x + 5}}$
43215	Simplify	((x^2)/(x-3))/(x/((x-3)^2))	$\frac{(\frac{x^{2}}{(x - 3)})}{(\frac{x}{{(x - 3)}^{2}})}$
43216	Simplify the Radical Expression	- square root of 25+ square root of -24+ square root of 1+ square root of -54	$- \sqrt{25} + \sqrt{- 24} + \sqrt{1} + \sqrt{- 54}$
43217	Simplify	(x/(x+3))/3	$\frac{\frac{x}{x + 3}}{3}$
43218	Simplify	((3m^-5n^2)/(4m^-2n^0))*((mn^4)/(9n))^2	$(\frac{3 m^{- 5} n^{2}}{4 m^{- 2} n^{0}}) \cdot {(\frac{m n^{4}}{9 n})}^{2}$
43219	Find the Derivative - d/dA	sin(2A)	$\sin (2 A)$
43220	Evaluate	natural log of e^( natural log of e)	$\ln (e^{\ln (e)})$
43221	Convert from Radians to Degrees	arcsec(2/( square root of 3))	$arcsec (\frac{2}{\sqrt{3}})$
43222	Solve the System of Equations	Solve the system of equations y=2x+3 and 2y-2x=8 using the Substitution Method.	Solve the system of equations $y = 2 x + 3$ and $2 y - 2 x = 8$ using the Substitution Method.
43223	Find the Excluded Values	(2y^2+2)/(y^3-5y^2+y-5)	$\frac{2 y^{2} + 2}{y^{3} - 5 y^{2} + y - 5}$
43224	Evaluate	55% of 80	$55 %$ of $80$
43225	Solve for m	(2m+1)^(1/4)-2=1	${(2 m + 1)}^{\frac{1}{4}} - 2 = 1$
43226	Solve for x	1/2(x+5/2)=15/4	$\frac{1}{2} (x + \frac{5}{2}) = \frac{15}{4}$
43227	Find the Derivative - d/dx	2/(-x^2-9)	$\frac{2}{- x^{2} - 9}$
43228	Multiply	2/51/37/8	$\frac{2}{5} \cdot \frac{1}{3} \cdot \frac{7}{8}$
43229	Simplify the Radical Expression	square root of 5(6+ square root of 2)	$\sqrt{5} (6 + \sqrt{2})$
43230	Convert to Interval Notation	x<-2 and x<2	$x < - 2$ and $x < 2$
43231	Simplify the Radical Expression	5/( square root of 8)	$\frac{5}{\sqrt{8}}$
43232	Simplify the Radical Expression	(-8 square root of 6)(2 square root of -42)	$(- 8 \sqrt{6}) (2 \sqrt{- 42})$
43233	Find the Roots (Zeros)	y=(x-1)^2(2x-3)^3	$y = {(x - 1)}^{2} {(2 x - 3)}^{3}$
43234	Solve by Factoring	x^6-9x^4-x^2+9=0	$x^{6} - 9 x^{4} - x^{2} + 9 = 0$
43235	Evaluate the Limit	limit as x approaches natural log of 10 of e^x+2	$lim_{x \to \ln (10)} e^{x} + 2$
43236	Find the Derivative - d/dx	(3x^2-1)/3	$\frac{3 x^{2} - 1}{3}$
43237	Graph	R={y\|y>=0}	$R = {y \| y \geq 0}$
43238	Evaluate the Integral	integral from 1 to x^2+1 of (2t+2)/( square root of t+1) with respect to t	$\int_{1}^{x^{2} + 1} \frac{2 t + 2}{\sqrt{t + 1}} d t$
43239	Evaluate	2x-3y<6	$2 x - 3 y < 6$
43240	Simplify	((2a^3b^2c)^-3)/((3a^2b^3c)^2)	$\frac{{(2 a^{3} b^{2} c)}^{- 3}}{{(3 a^{2} b^{3} c)}^{2}}$
43241	Find the Domain of the Composition f(g(h(x)))	f(x)=x^3-x^2+10 g(x)=3x^2+2x-10 h(x)=2x^3+2x^2-3x	$f (x) = x^{3} - x^{2} + 10$ $g (x) = 3 x^{2} + 2 x - 10$ $h (x) = 2 x^{3} + 2 x^{2} - 3 x$
43242	Find the Maximum/Minimum Value	f(x)=-5sin(1/3x)-15	$f (x) = - 5 \sin (\frac{1}{3} x) - 15$
43243	Solve for x	(x^2+x-12)/(x-5)=(2x+3)/(x+4)	$\frac{x^{2} + x - 12}{x - 5} = \frac{2 x + 3}{x + 4}$
43244	Find the Domain and Range	f(x)=2(2/3)^(x-3)-4	$f (x) = 2 {(\frac{2}{3})}^{x - 3} - 4$
43245	Evaluate	log base 8 of cube root of 1/64	$\log_{8} (\sqrt[3]{\frac{1}{64}})$
43246	Solve for x	2=3x^2-x-2	$2 = 3 x^{2} - x - 2$
43247	Convert from Degrees to Radians	-60^o	$- 60^{o}$
43248	Evaluate	2*3^(2-1)	$2 \cdot 3^{2 - 1}$
43249	Simplify	(10x^4-4x^3-7x^2+5x+9)-(2x^4-5x^3-4x^2+9x+3)	$(10 x^{4} - 4 x^{3} - 7 x^{2} + 5 x + 9) - (2 x^{4} - 5 x^{3} - 4 x^{2} + 9 x + 3)$
43250	Evaluate	(18-(-4))/2+(-6)(3)	$\frac{18 - (- 4)}{2} + (- 6) (3)$
43251	Graph	x>-y	$x > - y$
43252	Solve for x	(10x)/(2-5)=3	$\frac{10 x}{2 - 5} = 3$
43253	Simplify	((3xy^2)/(x^3y))^-2	${(\frac{3 x y^{2}}{x^{3} y})}^{- 2}$
43254	Find the Domain and Range	y=sec(x-pi/2)	$y = \sec (x - \frac{π}{2})$
43255	Find the Inverse	y=4 square root of x+3	$y = 4 \sqrt{x + 3}$
43256	Simplify the Radical Expression	4 square root of 2*5 square root of 8	$4 \sqrt{2} \cdot 5 \sqrt{8}$
43257	Factor	b^2-c^2-10(b-c)	$b^{2} - c^{2} - 10 (b - c)$
43258	Solve for C	F=5/9C+32 for C	$F = \frac{5}{9} C + 32$ for $C$
43259	Simplify the Radical Expression	((w^7)/(w^4))^(5/12)	${(\frac{w^{7}}{w^{4}})}^{\frac{5}{12}}$
43260	Evaluate Using the Given Value	(dt)/(dx) if t=x/(8x-4)	$\frac{d t}{d x}$ if $t = \frac{x}{8 x - 4}$
43261	Multiply	( square root of 2+ square root of 3)*( square root of 3- square root of 2)	$(\sqrt{2} + \sqrt{3}) \cdot (\sqrt{3} - \sqrt{2})$
43262	Simplify	(6-3)^3-(4-1)^3	${(6 - 3)}^{3} - {(4 - 1)}^{3}$
43263	Solve for x	2(x-1)^2-2x^2=4	$2 {(x - 1)}^{2} - 2 x^{2} = 4$
43264	Find the Antiderivative	f(x)=6/((4-3x)^2)	$f (x) = \frac{6}{{(4 - 3 x)}^{2}}$
43265	Graph	y<=x 5 y<=2x+3	$y \leq x$ $5$ $y \leq 2 x + 3$
43266	Simplify	square root of 3- square root of 3+ square root of 3	$\sqrt{3} - \sqrt{3} + \sqrt{3}$
43267	Evaluate the Integral	integral of (2x^4+2x^2-5x^-3) with respect to x	$\int (2 x^{4} + 2 x^{2} - 5 x^{- 3}) d x$
43268	Solve the Inequality for b	3(b+2)-7>=2b-5+b	$3 (b + 2) - 7 \geq 2 b - 5 + b$
43269	Solve the Inequality for x	3(x-2)>=3x-10	$3 (x - 2) \geq 3 x - 10$
43270	Divide Using Long Polynomial Division	(2x^3-5x^2+x)/x	$\frac{2 x^{3} - 5 x^{2} + x}{x}$
43271	Multiply	7/186/175/16	$\frac{7}{18} \cdot \frac{6}{17} \cdot \frac{5}{16}$
43272	Solve for n	165=6n^3+9	$165 = 6 n^{3} + 9$
43273	Write in Slope-Intercept Form	(5,0) and (-3,6)	$(5, 0)$ and $(- 3, 6)$
43274	Solve the Inequality for a	6a+4b>=10	$6 a + 4 b \geq 10$
43275	Evaluate	natural log of 5x+7=8	$\ln (5 x + 7) = 8$
43276	Simplify	5x^2+8x+6+x^2+3x+1	$5 x^{2} + 8 x + 6 + x^{2} + 3 x + 1$
43277	Solve for x	12-3(3+x)=12-8x	$12 - 3 (3 + x) = 12 - 8 x$
43278	Evaluate the Function	f(x)=2x+2 for x=4	$f (x) = 2 x + 2$ for $x = 4$
43279	Find the Focus	x^2=12(y+5/2)^2	$x^{2} = 12 {(y + \frac{5}{2})}^{2}$
43280	Simplify the Radical Expression	2z square root of 100x^7z^4	$2 z \sqrt{100 x^{7} z^{4}}$
43281	Solve for x	y = square root of (x-48)/6	$y = \sqrt{\frac{x - 48}{6}}$
43282	Simplify	14/3-4/6	$\frac{14}{3} - \frac{4}{6}$
43283	Evaluate the Integral	integral of (3x^2)/((3x^3-2)^(2/3)) with respect to x	$\int \frac{3 x^{2}}{{(3 x^{3} - 2)}^{\frac{2}{3}}} d x$
43284	Simplify	1/6xy(6xy)^3	$\frac{1}{6} x y {(6 x y)}^{3}$
43285	Solve the Inequality for θ	30 degrees <theta<90 degrees	$30 ° < θ < 90 °$
43286	Divide Using Long Polynomial Division	(2x^3-5x^2+14)÷(x^2-x-2)	$(2 x^{3} - 5 x^{2} + 14) \div (x^{2} - x - 2)$
43287	Find the Asymptotes	(2x^2)/(4x^2-1)	$\frac{2 x^{2}}{4 x^{2} - 1}$
43288	Evaluate	log base 8 of square root of 2-2 log of 10+8	$\log_{8} (\sqrt{2}) - 2 \log (10) + 8$
43289	Solve the System of Equations	y=-1 y=3/4x-4	$y = - 1$ $y = \frac{3}{4} x - 4$
43290	Find the Antiderivative	e^(-x)dx	$e^{- x} d x$
43291	Solve the Inequality for x	((x-5)^2(x+3))/(x-6)>=0	$\frac{{(x - 5)}^{2} (x + 3)}{x - 6} \geq 0$
43292	Simplify	simplify (3s^8)^-5	simplify ${(3 s^{8})}^{- 5}$
43293	Solve for p	32>=-16p	$32 \geq - 16 p$
43294	Simplify	(a^2-ab)+(a^2+2ab)+(a-2a^2)	$(a^{2} - a b) + (a^{2} + 2 a b) + (a - 2 a^{2})$
43295	Solve for y	(y+1)/(y-5)+10/(y+5)=(y+1)/(y-5)*10/(y+5)	$\frac{y + 1}{y - 5} + \frac{10}{y + 5} = \frac{y + 1}{y - 5} \cdot \frac{10}{y + 5}$
43296	Simplify	(x^(7/4)y^(3/7))/(y^(-2/7)x^(1/2))	$\frac{x^{\frac{7}{4}} \cdot y^{\frac{3}{7}}}{y^{- \frac{2}{7}} \cdot x^{\frac{1}{2}}}$
43297	Simplify	(9/6t-4)*2	$(\frac{9}{6} t - 4) \cdot 2$
43298	Solve for x	(2x+1)/3-(x-1)/2=5/6	$\frac{2 x + 1}{3} - \frac{x - 1}{2} = \frac{5}{6}$
43299	Find the Derivative - d/dt	Differentiate y=4 log base 3 of t	Differentiate $y = 4 \log_{3} (t)$
43300	Find the Domain and Range	y=(12x-5)/(3x-1)	$y = \frac{12 x - 5}{3 x - 1}$