Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
41501	Solve the Absolute Value Inequality for v	\|4v-9\|<=27	$\| 4 v - 9 \| \leq 27$
41502	Graph Using a Table of Values	y=x^-3	$y = x^{- 3}$
41503	Simplify	square root of (4a^4b^2)/(16a^2)	$\sqrt{\frac{4 a^{4} b^{2}}{16 a^{2}}}$
41504	Solve the System of Equations	5x=-3y-31 2y=-4x-22	$5 x = - 3 y - 31$ $2 y = - 4 x - 22$
41505	Graph	y<=x+1 y<-x/2-1	$y \leq x + 1$ $y < - \frac{x}{2} - 1$
41506	Simplify	b^-21*4^-15	$b^{- 21} \cdot 4^{- 15}$
41507	Write in Standard Form	(4i)/( square root of 2+i)	$\frac{4 i}{\sqrt{2} + i}$
41508	Find dy/dx	y = square root of x^2+2x	$y = \sqrt{x^{2} + 2 x}$
41509	Solve for x	x+0.60(15)=0.80(x+15)	$x + 0.6 (15) = 0.8 (x + 15)$
41510	Convert to Radical Form	-4 square root of 6- square root of 6	$- 4 \sqrt{6} - \sqrt{6}$
41511	Simplify	(16^(-1/6)*9^(1/6))^2	${(16^{- \frac{1}{6}} \cdot 9^{\frac{1}{6}})}^{2}$
41512	Solve the Rational Equation for x	-2=3-7 fifth root of x^2	$- 2 = 3 - 7 \sqrt[5]{x^{2}}$
41513	Solve for l	a=l*w	$a = l \cdot w$
41514	Simplify	4*2^x	$4 \cdot 2^{x}$
41515	Solve for m	15m(m+4)=26m-15	$15 m (m + 4) = 26 m - 15$
41516	Solve for x	4(5-7x)=6-12x	$4 (5 - 7 x) = 6 - 12 x$
41517	Simplify the Radical Expression	fourth root of cube root of 81	$\sqrt[4]{\sqrt[3]{81}}$
41518	Expand the Logarithmic Expression	log base b of x^4 cube root of y	$\log_{b} (x^{4} \sqrt[3]{y})$
41519	Simplify	(14x)/(-2x^7)	$\frac{14 x}{- 2 x^{7}}$
41520	Solve by Factoring	(x^2-6)(x^2+1)=0	$(x^{2} - 6) (x^{2} + 1) = 0$
41521	Write the Fraction in Simplest Form	5/9*6	$\frac{5}{9} \cdot 6$
41522	Simplify	4/x-(5x)/2	$\frac{4}{x} - \frac{5 x}{2}$
41523	Simplify	1/x-2/(x^2+x)-3/(x+3)	$\frac{1}{x} - \frac{2}{x^{2} + x} - \frac{3}{x + 3}$
41524	Find the Maximum/Minimum Value	cos(x)	$\cos (x)$
41525	Factor	3x^2-9=26x	$3 x^{2} - 9 = 26 x$
41526	Evaluate Using the Given Value	Evaluate 9-b when b=8	Evaluate $9 - b$ when $b = 8$
41527	Solve the Function Operation	Find the functions f and g if (fog)(x)=2x^3-5	Find the functions $f$ and $g$ if $((f \circ g)) (x) = 2 x^{3} - 5$
41528	Evaluate	4(-3x+1)+(6x+3)	$4 (- 3 x + 1) + (6 x + 3)$
41529	Find dz/dx	z = natural log of x^2+y^2	$z = \ln (x^{2} + y^{2})$
41530	Solve the Inequality for x	\|3x-5\|>=-2	$\| 3 x - 5 \| \geq - 2$
41531	Find the Second Derivative	3x^4-16x^3+24x^2+48	$3 x^{4} - 16 x^{3} + 24 x^{2} + 48$
41532	Solve for x	1/2=2^((x)(x+2))	$\frac{1}{2} = 2^{(x) (x + 2)}$
41533	Find the Domain and Range	C(x)=(x+3)/(x-2)	$C (x) = \frac{x + 3}{x - 2}$
41534	Simplify	3(4)^4 square root of 4	$3 {(4)}^{4} \sqrt{4}$
41535	Simplify the Radical Expression	(7 square root of 9)(7 square root of -16)	$(7 \sqrt{9}) (7 \sqrt{- 16})$
41536	Simplify the Radical Expression	2 square root of 53 square root of 2 square root of 6	$2 \sqrt{5} \cdot 3 \sqrt{2} \cdot \sqrt{6}$
41537	Simplify the Radical Expression	square root of 7* fifth root of 7^6	$\sqrt{7} \cdot \sqrt[5]{7^{6}}$
41538	Write in Standard Form	237qt	$2 \cdot 3 \cdot 7 \cdot q \cdot t$
41539	Graph	y<3x+8 y>=4x	$y < 3 x + 8$ $y \geq 4 x$
41540	Graph	Graph y=x+3	Graph $y = x + 3$
41541	Graph	y=1/2x y=x+2	$y = \frac{1}{2} x$ $y = x + 2$
41542	Find the Product	(a^-2*8^7)^2	${(a^{- 2} \cdot 8^{7})}^{2}$
41543	Identify the Sequence	1/3 , 1/6 , 1/12	$\frac{1}{3}$ , $\frac{1}{6}$ , $\frac{1}{12}$
41544	Find dy/dx	y = fifth root of x^2-8x+1	$y = \sqrt[5]{x^{2} - 8 x + 1}$
41545	Simplify the Radical Expression	(x^2)^3	${(x^{2})}^{3}$
41546	Evaluate	(16-4^2)/(2- square root of 4)	$\frac{16 - 4^{2}}{2 - \sqrt{4}}$
41547	Find the Domain and Range	x^2+6x+y^2-2y-15=0	$x^{2} + 6 x + y^{2} - 2 y - 15 = 0$
41548	Simplify the Radical Expression	square root of 75x^2y^-4	$\sqrt{75 x^{2} y^{- 4}}$
41549	Evaluate	2(5)^(1-1)	$2 {(5)}^{1 - 1}$
41550	Evaluate	i^10i^11i^20	$i^{10} \cdot i^{11} \cdot i^{20}$
41551	Simplify the Radical Expression	fifth root of 7/(16x^3)	$\sqrt[5]{\frac{7}{16 x^{3}}}$
41552	Add	-3/7+5/2	$- \frac{3}{7} + \frac{5}{2}$
41553	Solve for x	(x-8)/(2x+2)+x/(2x+2)=(2x-3)/(x+1)	$\frac{x - 8}{2 x + 2} + \frac{x}{2 x + 2} = \frac{2 x - 3}{x + 1}$
41554	Solve for x	-(4x+4)=0	$- (4 x + 4) = 0$
41555	Solve the System of Equations	y=9-x y=2x^2+4x+6	$y = 9 - x$ $y = 2 x^{2} + 4 x + 6$
41556	Solve for t	t^4-21t^2+80=0	$t^{4} - 21 t^{2} + 80 = 0$
41557	Find the Asymptotes	F(x)=(2x^2-3)/(x^2)	$F (x) = \frac{2 x^{2} - 3}{x^{2}}$
41558	Solve for x	x/(x-1)-2/(x+2)=(4x-1)/(x^2+x-2)	$\frac{x}{x - 1} - \frac{2}{x + 2} = \frac{4 x - 1}{x^{2} + x - 2}$
41559	Find the Antiderivative	x natural log of x+1	$x \ln (x + 1)$
41560	Graph	f(x)=-x^2 g(x)=-x^2+6	$f (x) = - x^{2}$ $g (x) = - x^{2} + 6$
41561	Solve the Rational Equation for r	square root of r=2	$\sqrt{r} = 2$
41562	Evaluate from the Right	limit as x approaches 3 of 10/(x-2)	$lim_{x \to 3} \frac{10}{x - 2}$
41563	Solve for x	(x-4)/(x+2)=(x-6)/5	$\frac{x - 4}{x + 2} = \frac{x - 6}{5}$
41564	Find the x and y Intercepts	f(x)=2(1/4)^x-9	$f (x) = 2 {(\frac{1}{4})}^{x} - 9$
41565	Simplify	sin(x)sec(x)^2-sin(x)tan(x)^2	$\sin (x) \sec^{2} (x) - \sin (x) \tan^{2} (x)$
41566	Find the Reference Angle	cot(330 degrees )	$\cot (330 °)$
41567	Solve for r	r-6>-11	$r - 6 > - 11$
41568	Divide Using Long Polynomial Division	Use the long division method to find the result when 4x^3+23x^2+21x+30 is divided by x+5	Use the long division method to find the result when $4 x^{3} + 23 x^{2} + 21 x + 30$ is divided by $x + 5$
41569	Find the Domain and Range	y=-2cos(-x/2)	$y = - 2 \cos (- \frac{x}{2})$
41570	Find the Third Derivative	f(x)=4/3-1/2x^-1+1/4x^4+1/2x^3	$f (x) = \frac{4}{3} - \frac{1}{2} x^{- 1} + \frac{1}{4} x^{4} + \frac{1}{2} x^{3}$
41571	Find the Exact Value	sin(pi/6)+tan(pi/3)^2	$\sin (\frac{π}{6}) + \tan^{2} (\frac{π}{3})$
41572	Subtract	-3 sixth root of 3-2 sixth root of 192- sixth root of 320	$- 3 \sqrt[6]{3} - 2 \sqrt[6]{192} - \sqrt[6]{320}$
41573	Find the Derivative - d/dx	(1- natural log of x)/(x^2)	$\frac{(1 - \ln (x))}{x^{2}}$
41574	Find the Derivative - d/dx	square root of 4/x- square root of 3x	$\sqrt{\frac{4}{x}} - \sqrt{3 x}$
41575	Simplify the Radical Expression	- square root of 448x^6y^5	$- \sqrt{448 x^{6} y^{5}}$
41576	Verify the Identity	(sin(x))(cot(x)+cos(x)tan(x))=cos(x)+sin(x)^2	$(\sin (x)) (\cot (x) + \cos (x) \tan (x)) = \cos (x) + \sin^{2} (x)$
41577	Solve for θ in Degrees	2cot(theta)-3=0	$2 \cot (θ) - 3 = 0$
41578	Simplify	(1+2yi)(3+i)+(1+2yi)(6-i)	$(1 + 2 y i) (3 + i) + (1 + 2 y i) (6 - i)$
41579	Solve for θ	2cos(theta)sin(theta)=cos(theta)	$2 \cos (θ) \sin (θ) = \cos (θ)$
41580	Simplify	(3a-1)/(a^2-b^2)-(3b-1)/(a^2-b^2)	$\frac{(3 a - 1)}{a^{2} - b^{2}} - \frac{(3 b - 1)}{a^{2} - b^{2}}$
41581	Rationalize the Denominator	(12x^2)/( square root of 3x)	$\frac{12 x^{2}}{\sqrt{3 x}}$
41582	Evaluate	((x^2y^-2)^-3)/((x^-2y)^-2)	$\frac{{(x^{2} y^{- 2})}^{- 3}}{{(x^{- 2} y)}^{- 2}}$
41583	Add	x/(x-1)+x/(x+1)	$\frac{x}{x - 1} + \frac{x}{x + 1}$
41584	Solve the Inequality for x	7x+9(-2x+8)<18x	$7 x + 9 (- 2 x + 8) < 18 x$
41585	Solve for x	square root of x^2+3x=2	$\sqrt{x^{2} + 3 x} = 2$
41586	Multiply	(7-2a)(4a^2+4a+3)	$(7 - 2 a) (4 a^{2} + 4 a + 3)$
41587	Simplify	square root of 32x^3+2 square root of 6x-8 square root of 2x^3+4 square root of 24x	$\sqrt{32 x^{3}} + 2 \sqrt{6 x} - 8 \sqrt{2 x^{3}} + 4 \sqrt{24 x}$
41588	Solve the Inequality for y	x-2y<2	$x - 2 y < 2$
41589	Simplify	((7a^2)/(7a^3+56a^2))÷(2/(a^2+7a-8))	$\frac{7 a^{2}}{7 a^{3} + 56 a^{2}} \div \frac{2}{a^{2} + 7 a - 8}$
41590	Simplify	(4a*6a^5)/(8a^2)	$\frac{4 a \cdot 6 a^{5}}{8 a^{2}}$
41591	Subtract	(4x^2+8)+(-8x^2-5x+2)	$(4 x^{2} + 8) + (- 8 x^{2} - 5 x + 2)$
41592	Integrate Using u-Substitution	integral of 1/((1-6t)^4) with respect to t	$\int \frac{1}{{(1 - 6 t)}^{4}} d t$
41593	Simplify	((y^2-36)/(6y))/((y^2+6y)/(5y^3))	$\frac{\frac{y^{2} - 36}{6 y}}{\frac{y^{2} + 6 y}{5 y^{3}}}$
41594	Solve for x	x^2-1=(x+1)(x-1)	$x^{2} - 1 = (x + 1) (x - 1)$
41595	Solve for w	-11w+7+10w=19+2w	$- 11 w + 7 + 10 w = 19 + 2 w$
41596	Solve for x	(5x-1)^2+16=0	${(5 x - 1)}^{2} + 16 = 0$
41597	Multiply	(c^2-cd-d^2)(c+d)	$(c^{2} - c d - d^{2}) (c + d)$
41598	Simplify	(24a^2b^9c^-7)/(36a^3bc^4)	$\frac{24 a^{2} b^{9} c^{- 7}}{36 a^{3} b c^{4}}$
41599	Multiply	(49-y^2)/(6y^2+42y)*(48y^3)/(y^2-10y+21)	$\frac{49 - y^{2}}{6 y^{2} + 42 y} \cdot \frac{48 y^{3}}{y^{2} - 10 y + 21}$
41600	Simplify	(4+ square root of 12)/(4- square root of 12)	$\frac{4 + \sqrt{12}}{4 - \sqrt{12}}$