Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
182501	Describe the Transformation	f(x)=5/2 square root of -(x-6)	$f (x) = \frac{5}{2} \sqrt{- (x - 6)}$
182502	Expand the Logarithmic Expression	log of ( square root of yz^4)/x	$\log (\frac{\sqrt{y} z^{4}}{x})$
182503	Solve for x	(x+8)^4=16	${(x + 8)}^{4} = 16$
182504	Simplify	(a^2-5)/(a^3-1)-(a+1)/(a^2+a+1)	$\frac{a^{2} - 5}{a^{3} - 1} - \frac{a + 1}{a^{2} + a + 1}$
182505	Find the Holes in the Graph	f(x)=(x^2+5x+6)/(x^2+2x-3)	$f (x) = \frac{x^{2} + 5 x + 6}{x^{2} + 2 x - 3}$
182506	Find the Product	3x(2x-5)	$3 x (2 x - 5)$
182507	Simplify	(a^4)/(2a^2-4a^4)*(8a^3+1)/(2a+4a^2)	$\frac{a^{4}}{2 a^{2} - 4 a^{4}} \cdot \frac{8 a^{3} + 1}{2 a + 4 a^{2}}$
182508	Graph	m=5 and (6,-1)	$m = 5$ and $(6, - 1)$
182509	Solve for x	3/(x-2)+6 = square root of x-2+8	$\frac{3}{x - 2} + 6 = \sqrt{x - 2} + 8$
182510	Solve for x	F(x)=-3	$F (x) = - 3$
182511	Solve for x	\|2x-5\|=3+2\|7-x\|	$\| 2 x - 5 \| = 3 + 2 \| 7 - x \|$
182512	Evaluate	f(1)=4^1	$f (1) = 4^{1}$
182513	Evaluate the Function	f(-1)=4^-1	$f (- 1) = 4^{- 1}$
182514	Solve the Inequality for x	-2(4x-2)<-8x+4	$- 2 (4 x - 2) < - 8 x + 4$
182515	Find the Product	(n^2+6n-4)(2n-4)	$(n^{2} + 6 n - 4) (2 n - 4)$
182516	Evaluate	4n-2n=4	$4 n - 2 n = 4$
182517	Divide	(3/9)÷(3/6)	$\frac{3}{9} \div \frac{3}{6}$
182518	Find the Exact Value	i^9	$i^{9}$
182519	Evaluate	square root of 1 9/16	$\sqrt{1 \frac{9}{16}}$
182520	Find the Domain and Range	x^2+x	$x^{2} + x$
182521	Find the Parabola with Focus (-2,5) and Directrix x=3	(-2,5) x=3	$(- 2, 5)$ $x = 3$
182522	Solve for x	-6/(x^2+x)+1=-(6x)/(x+1)	$- \frac{6}{x^{2} + x} + 1 = - \frac{6 x}{x + 1}$
182523	Find the Holes in the Graph	f(x)=(2x^2-4x)/(x^2-2x-3)	$f (x) = \frac{2 x^{2} - 4 x}{x^{2} - 2 x - 3}$
182524	Evaluate	log base a of mn	$\log_{a} (m n)$
182525	Solve for x	14-(5x-1)(2x+3)=17-(10x+1)(x-6)	$14 - (5 x - 1) (2 x + 3) = 17 - (10 x + 1) (x - 6)$
182526	Simplify	( square root of 2+ square root of 6)/( square root of 8+ square root of 6)	$\frac{\sqrt{2} + \sqrt{6}}{\sqrt{8} + \sqrt{6}}$
182527	Simplify	(6x^2+7x)+(5-2x^2+9x)	$(6 x^{2} + 7 x) + (5 - 2 x^{2} + 9 x)$
182528	Convert to Interval Notation	x/4+4<3 or -x+2<2	$\frac{x}{4} + 4 < 3$ or $- x + 2 < 2$
182529	Simplify	((25x^2-4)/(2x^2-11x-21))÷((5x-2)/(2x-14))	$\frac{25 x^{2} - 4}{2 x^{2} - 11 x - 21} \div \frac{5 x - 2}{2 x - 14}$
182530	Simplify	((2u^-5v^2)/(8w))^-2	${(\frac{2 u^{- 5} v^{2}}{8 w})}^{- 2}$
182531	Find the Domain and Range	y=5/(2x)	$y = \frac{5}{2 x}$
182532	Solve for x	x/(x+8)+1/(x-8)=(2x)/(x^2-64)	$\frac{x}{x + 8} + \frac{1}{x - 8} = \frac{2 x}{x^{2} - 64}$
182533	Solve the System of Equations	-x+5y=-5 x-5y=5	$- x + 5 y = - 5$ $x - 5 y = 5$
182534	Solve for a	( fifth root of x^3)/((x^3)^(1/5))=x^a	$\frac{\sqrt[5]{x^{3}}}{{(x^{3})}^{\frac{1}{5}}} = x^{a}$
182535	Evaluate	square root of 2*( square root of 2)/2	$\sqrt{2} \cdot \frac{\sqrt{2}}{2}$
182536	Multiply	(8n^2+3n^7)(8n^2-3n^7)	$(8 n^{2} + 3 n^{7}) (8 n^{2} - 3 n^{7})$
182537	Factor	f(x)=x^2+x-12	$f (x) = x^{2} + x - 12$
182538	Divide	a^2-2a-3 entre a+1	$a^{2} - 2 a - 3$ entre $a + 1$
182539	Simplify	(2+2/x)/(1/(x^2)-1)	$\frac{2 + \frac{2}{x}}{\frac{1}{x^{2}} - 1}$
182540	Simplify	(2x^2)/(x^2-1)*(x-1)/x	$\frac{2 x^{2}}{x^{2} - 1} \cdot \frac{x - 1}{x}$
182541	Simplify	(x^3-16x)/(6x+24)*(x^2-100)/(x^4-14x^3+40x^2)	$\frac{x^{3} - 16 x}{6 x + 24} \cdot \frac{x^{2} - 100}{x^{4} - 14 x^{3} + 40 x^{2}}$
182542	Find the Perfect Square Trinomial	x^2-4	$x^{2} - 4$
182543	Solve the Inequality for x	x+3>5	$x + 3 > 5$
182544	Solve for c	p(x)=4x^3+cx^2+x+2	$p (x) = 4 x^{3} + c x^{2} + x + 2$
182545	Solve for x	3.8=1.1^(x-5)	$3.8 = {1.1}^{x - 5}$
182546	Find the Holes in the Graph	f(x)=(x+2)/(x^2-3x-10)	$f (x) = \frac{x + 2}{x^{2} - 3 x - 10}$
182547	Simplify	(x/2)^3(5x^6)	${(\frac{x}{2})}^{3} (5 x^{6})$
182548	Find All Complex Solutions	cos(x)^3=cos(x)	$\cos^{3} (x) = \cos (x)$
182549	Graph	f(x)=6x+24 if x<-3; x-3 if x>5	$f (x) = {\begin{cases} 6 x + 24 & x < - 3 \\ x - 3 & x > 5 \end{cases}$
182550	Simplify	( square root of 5)/(a- square root of 5)	$\frac{\sqrt{5}}{a - \sqrt{5}}$
182551	Find the Function	f(x)=3x^2-4	$f (x) = 3 x^{2} - 4$
182552	Write Using Negative Exponents	5x+30x^2-6	$5 x + 30 x^{2} - 6$
182553	Simplify	-x square root of 200x^2-9 square root of 2x^4	$- x \sqrt{200 x^{2}} - 9 \sqrt{2 x^{4}}$
182554	Solve for y	2x-y^2=7	$2 x - y^{2} = 7$
182555	Graph	g(x)=-1/2\|x\|	$g (x) = - \frac{1}{2} \| x \|$
182556	Simplify	3x^-2*(3x^2)^-1	$3 x^{- 2} \cdot {(3 x^{2})}^{- 1}$
182557	Simplify	8x square root of 96-10 square root of 54x^2	$8 x \sqrt{96} - 10 \sqrt{54 x^{2}}$
182558	Graph	-3x+16>=-2	$- 3 x + 16 \geq - 2$
182559	Simplify	-2x-2y-2z+5x-2y-4z	$- 2 x - 2 y - 2 z + 5 x - 2 y - 4 z$
182560	Solve for x	x/(x-1)+9=1/(x^2-x)	$\frac{x}{x - 1} + 9 = \frac{1}{x^{2} - x}$
182561	Simplify	square root of -4* square root of -12	$\sqrt{- 4} \cdot \sqrt{- 12}$
182562	Find the Exact Value	cot(15 degrees )	$\cot (15 °)$
182563	Simplify	12/-8	$\frac{12}{- 8}$
182564	Solve for y	0=2y-8x+10	$0 = 2 y - 8 x + 10$
182565	Solve for x	1-1/(x^2+9x)=-(9x)/(x+9)	$1 - \frac{1}{x^{2} + 9 x} = - \frac{9 x}{x + 9}$
182566	Find the Product	-7(-a^2)(-b^3)	$- 7 (- a^{2}) (- b^{3})$
182567	Simplify	- square root of 2*(- square root of 2)	$- \sqrt{2} \cdot (- \sqrt{2})$
182568	Simplify	(-10+14i)/(-11+11i)	$\frac{- 10 + 14 i}{- 11 + 11 i}$
182569	Solve the Inequality for h	-1/3h<=7	$- \frac{1}{3} h \leq 7$
182570	Evaluate	pipi	$π π$
182571	Solve for c	3ab-2bc=12	$3 a b - 2 b c = 12$
182572	Simplify	(4+a)/(a-3)+4/5	$\frac{4 + a}{a - 3} + \frac{4}{5}$
182573	Evaluate	(-1+3/4-1/3)/(2-1/4)	$\frac{- 1 + \frac{3}{4} - \frac{1}{3}}{2 - \frac{1}{4}}$
182574	Solve for P	P(d)=1/33d+1	$P (d) = \frac{1}{33} d + 1$
182575	Simplify	(5u)/(6u+3)+9/(6u+3)	$\frac{5 u}{6 u + 3} + \frac{9}{6 u + 3}$
182576	Simplify	4 square root of 20+ square root of 75	$4 \sqrt{20} + \sqrt{75}$
182577	Evaluate	(2i)^4	${(2 i)}^{4}$
182578	Graph	x<=-2 or x>5	$x \leq - 2$ or $x > 5$
182579	Graph	y>x-5 y>=-2x-2	$y > x - 5$ $y \geq - 2 x - 2$
182580	Evaluate	(-2^3)	$(- 2^{3})$
182581	Solve Using the Quadratic Formula	12x=13-x^2	$12 x = 13 - x^{2}$
182582	Multiply	(3/5)^2	${(\frac{3}{5})}^{2}$
182583	Solve for m	e^m=28	$e^{m} = 28$
182584	Find the Holes in the Graph	(4x^2-4x-24)/(3x^2-10x+3)	$\frac{4 x^{2} - 4 x - 24}{3 x^{2} - 10 x + 3}$
182585	Simplify	(( square root of 5)/2+5/3i)^2	${(\frac{\sqrt{5}}{2} + \frac{5}{3} i)}^{2}$
182586	Simplify	(5x)/(3x^2)-7/(6x)	$\frac{5 x}{3 x^{2}} - \frac{7}{6 x}$
182587	Graph	y<=x^2-4x+2	$y \leq x^{2} - 4 x + 2$
182588	Simplify	2 cube root of x^4	$2 \sqrt[3]{x^{4}}$
182589	Solve for x	3-1/6x=3/2	$3 - \frac{1}{6} x = \frac{3}{2}$
182590	Find the Product	(4x+5y)^2	${(4 x + 5 y)}^{2}$
182591	Divide	x+1 into x^2+2x+3	$x + 1$ into $x^{2} + 2 x + 3$
182592	Divide	(12i)/(3-3i)	$\frac{12 i}{3 - 3 i}$
182593	Graph	F(x)=(x^3)/(x^2-4)	$F (x) = \frac{x^{3}}{x^{2} - 4}$
182594	Solve for θ	4sin(theta)^2=3	$4 \sin^{2} (θ) = 3$
182595	Graph	g(x)=2(x+3)(x^2-1)	$g (x) = 2 (x + 3) (x^{2} - 1)$
182596	Graph	y=1/2sec(x)	$y = \frac{1}{2} \sec (x)$
182597	Find the x and y Intercepts	f(x)=2(1/2)^x	$f (x) = 2 {(\frac{1}{2})}^{x}$
182598	Evaluate	4^(x+3)=64	$4^{x + 3} = 64$
182599	Simplify	m^3y^6m^2	$m^{3} \cdot y^{6} \cdot m^{2}$
182600	Convert to Interval Notation	4y+2(2y-4)<=2(2y+4)	$4 y + 2 (2 y - 4) \leq 2 (2 y + 4)$