Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
182501	Find the Volume	sphere (7cm)	 $\begin{array}{r} r = & 7 cm \end{array}$
182502	Divide	2/31/2	$\frac{2}{3} \cdot \frac{1}{2}$
182503	Evaluate	2x-6=3x+1-x-7	$2 x - 6 = 3 x + 1 - x - 7$
182504	Solve for b	-6/5(30b+15)-3b=-1/5b-3+6/5b	$- \frac{6}{5} (30 b + 15) - 3 b = - \frac{1}{5} b - 3 + \frac{6}{5} b$
182505	Simplify the Radical Expression	square root of 4/9	$\sqrt{\frac{4}{9}}$
182506	Graph	1/3x-8>=x+6	$\frac{1}{3} x - 8 \geq x + 6$
182507	Write in Slope-Intercept Form	(-3,0) and (0,-3)	$(- 3, 0)$ and $(0, - 3)$
182508	Graph	y=-1/2\|x+2\|-1	$y = - \frac{1}{2} \| x + 2 \| - 1$
182509	Find the Roots (Zeros)	0=x^2-26x+48	$0 = x^{2} - 26 x + 48$
182510	Simplify	(4a)/(5b^3)+(6a)/2	$\frac{4 a}{5 b^{3}} + \frac{6 a}{2}$
182511	Find the Holes in the Graph	y=(x^2-7x+12)/(x^2-9)	$y = \frac{x^{2} - 7 x + 12}{x^{2} - 9}$
182512	Solve for A	A=2pir^2+2pirh	$A = 2 π r^{2} + 2 π r h$
182513	Solve for x	3/4=15/(2x)	$\frac{3}{4} = \frac{15}{2 x}$
182514	Find All Complex Solutions	theta=(7pi)/6	$θ = \frac{7 π}{6}$
182515	Simplify	5/(4x^2-36)+4/(2x+6)	$\frac{5}{4 x^{2} - 36} + \frac{4}{2 x + 6}$
182516	Describe the Transformation	f(x)=5/2 square root of -(x-6)	$f (x) = \frac{5}{2} \sqrt{- (x - 6)}$
182517	Expand the Logarithmic Expression	log of ( square root of yz^4)/x	$\log (\frac{\sqrt{y} z^{4}}{x})$
182518	Solve for x	(x+8)^4=16	${(x + 8)}^{4} = 16$
182519	Simplify	(a^2-5)/(a^3-1)-(a+1)/(a^2+a+1)	$\frac{a^{2} - 5}{a^{3} - 1} - \frac{a + 1}{a^{2} + a + 1}$
182520	Find the Holes in the Graph	f(x)=(x^2+5x+6)/(x^2+2x-3)	$f (x) = \frac{x^{2} + 5 x + 6}{x^{2} + 2 x - 3}$
182521	Find the Product	3x(2x-5)	$3 x (2 x - 5)$
182522	Simplify	(a^4)/(2a^2-4a^4)*(8a^3+1)/(2a+4a^2)	$\frac{a^{4}}{2 a^{2} - 4 a^{4}} \cdot \frac{8 a^{3} + 1}{2 a + 4 a^{2}}$
182523	Graph	m=5 and (6,-1)	$m = 5$ and $(6, - 1)$
182524	Solve for x	3/(x-2)+6 = square root of x-2+8	$\frac{3}{x - 2} + 6 = \sqrt{x - 2} + 8$
182525	Solve for x	F(x)=-3	$F (x) = - 3$
182526	Solve for x	\|2x-5\|=3+2\|7-x\|	$\| 2 x - 5 \| = 3 + 2 \| 7 - x \|$
182527	Evaluate	f(1)=4^1	$f (1) = 4^{1}$
182528	Evaluate the Function	f(-1)=4^-1	$f (- 1) = 4^{- 1}$
182529	Solve the Inequality for x	-2(4x-2)<-8x+4	$- 2 (4 x - 2) < - 8 x + 4$
182530	Find the Product	(n^2+6n-4)(2n-4)	$(n^{2} + 6 n - 4) (2 n - 4)$
182531	Evaluate	4n-2n=4	$4 n - 2 n = 4$
182532	Divide	(3/9)÷(3/6)	$\frac{3}{9} \div \frac{3}{6}$
182533	Find the Exact Value	i^9	$i^{9}$
182534	Evaluate	square root of 1 9/16	$\sqrt{1 \frac{9}{16}}$
182535	Find the Domain and Range	x^2+x	$x^{2} + x$
182536	Find the Parabola with Focus (-2,5) and Directrix x=3	(-2,5) x=3	$(- 2, 5)$ $x = 3$
182537	Solve for x	-6/(x^2+x)+1=-(6x)/(x+1)	$- \frac{6}{x^{2} + x} + 1 = - \frac{6 x}{x + 1}$
182538	Find the Holes in the Graph	f(x)=(2x^2-4x)/(x^2-2x-3)	$f (x) = \frac{2 x^{2} - 4 x}{x^{2} - 2 x - 3}$
182539	Evaluate	log base a of mn	$\log_{a} (m n)$
182540	Solve for x	14-(5x-1)(2x+3)=17-(10x+1)(x-6)	$14 - (5 x - 1) (2 x + 3) = 17 - (10 x + 1) (x - 6)$
182541	Simplify	( square root of 2+ square root of 6)/( square root of 8+ square root of 6)	$\frac{\sqrt{2} + \sqrt{6}}{\sqrt{8} + \sqrt{6}}$
182542	Simplify	(6x^2+7x)+(5-2x^2+9x)	$(6 x^{2} + 7 x) + (5 - 2 x^{2} + 9 x)$
182543	Convert to Interval Notation	x/4+4<3 or -x+2<2	$\frac{x}{4} + 4 < 3$ or $- x + 2 < 2$
182544	Simplify	((25x^2-4)/(2x^2-11x-21))÷((5x-2)/(2x-14))	$\frac{25 x^{2} - 4}{2 x^{2} - 11 x - 21} \div \frac{5 x - 2}{2 x - 14}$
182545	Simplify	((2u^-5v^2)/(8w))^-2	${(\frac{2 u^{- 5} v^{2}}{8 w})}^{- 2}$
182546	Find the Domain and Range	y=5/(2x)	$y = \frac{5}{2 x}$
182547	Solve for x	x/(x+8)+1/(x-8)=(2x)/(x^2-64)	$\frac{x}{x + 8} + \frac{1}{x - 8} = \frac{2 x}{x^{2} - 64}$
182548	Solve the System of Equations	-x+5y=-5 x-5y=5	$- x + 5 y = - 5$ $x - 5 y = 5$
182549	Solve for a	( fifth root of x^3)/((x^3)^(1/5))=x^a	$\frac{\sqrt[5]{x^{3}}}{{(x^{3})}^{\frac{1}{5}}} = x^{a}$
182550	Evaluate	square root of 2*( square root of 2)/2	$\sqrt{2} \cdot \frac{\sqrt{2}}{2}$
182551	Multiply	(8n^2+3n^7)(8n^2-3n^7)	$(8 n^{2} + 3 n^{7}) (8 n^{2} - 3 n^{7})$
182552	Factor	f(x)=x^2+x-12	$f (x) = x^{2} + x - 12$
182553	Divide	a^2-2a-3 entre a+1	$a^{2} - 2 a - 3$ entre $a + 1$
182554	Simplify	(2+2/x)/(1/(x^2)-1)	$\frac{2 + \frac{2}{x}}{\frac{1}{x^{2}} - 1}$
182555	Simplify	(2x^2)/(x^2-1)*(x-1)/x	$\frac{2 x^{2}}{x^{2} - 1} \cdot \frac{x - 1}{x}$
182556	Simplify	(x^3-16x)/(6x+24)*(x^2-100)/(x^4-14x^3+40x^2)	$\frac{x^{3} - 16 x}{6 x + 24} \cdot \frac{x^{2} - 100}{x^{4} - 14 x^{3} + 40 x^{2}}$
182557	Find the Perfect Square Trinomial	x^2-4	$x^{2} - 4$
182558	Solve the Inequality for x	x+3>5	$x + 3 > 5$
182559	Solve for c	p(x)=4x^3+cx^2+x+2	$p (x) = 4 x^{3} + c x^{2} + x + 2$
182560	Solve for x	3.8=1.1^(x-5)	$3.8 = {1.1}^{x - 5}$
182561	Find the Holes in the Graph	f(x)=(x+2)/(x^2-3x-10)	$f (x) = \frac{x + 2}{x^{2} - 3 x - 10}$
182562	Simplify	(x/2)^3(5x^6)	${(\frac{x}{2})}^{3} (5 x^{6})$
182563	Find All Complex Solutions	cos(x)^3=cos(x)	$\cos^{3} (x) = \cos (x)$
182564	Graph	f(x)=6x+24 if x<-3; x-3 if x>5	$f (x) = {\begin{cases} 6 x + 24 & x < - 3 \\ x - 3 & x > 5 \end{cases}$
182565	Simplify	( square root of 5)/(a- square root of 5)	$\frac{\sqrt{5}}{a - \sqrt{5}}$
182566	Find the Function	f(x)=3x^2-4	$f (x) = 3 x^{2} - 4$
182567	Write Using Negative Exponents	5x+30x^2-6	$5 x + 30 x^{2} - 6$
182568	Simplify	-x square root of 200x^2-9 square root of 2x^4	$- x \sqrt{200 x^{2}} - 9 \sqrt{2 x^{4}}$
182569	Solve for y	2x-y^2=7	$2 x - y^{2} = 7$
182570	Graph	g(x)=-1/2\|x\|	$g (x) = - \frac{1}{2} \| x \|$
182571	Simplify	3x^-2*(3x^2)^-1	$3 x^{- 2} \cdot {(3 x^{2})}^{- 1}$
182572	Simplify	8x square root of 96-10 square root of 54x^2	$8 x \sqrt{96} - 10 \sqrt{54 x^{2}}$
182573	Graph	-3x+16>=-2	$- 3 x + 16 \geq - 2$
182574	Simplify	-2x-2y-2z+5x-2y-4z	$- 2 x - 2 y - 2 z + 5 x - 2 y - 4 z$
182575	Solve for x	x/(x-1)+9=1/(x^2-x)	$\frac{x}{x - 1} + 9 = \frac{1}{x^{2} - x}$
182576	Simplify	square root of -4* square root of -12	$\sqrt{- 4} \cdot \sqrt{- 12}$
182577	Find the Exact Value	cot(15 degrees )	$\cot (15 °)$
182578	Simplify	12/-8	$\frac{12}{- 8}$
182579	Solve for y	0=2y-8x+10	$0 = 2 y - 8 x + 10$
182580	Solve for x	1-1/(x^2+9x)=-(9x)/(x+9)	$1 - \frac{1}{x^{2} + 9 x} = - \frac{9 x}{x + 9}$
182581	Find the Product	-7(-a^2)(-b^3)	$- 7 (- a^{2}) (- b^{3})$
182582	Simplify	- square root of 2*(- square root of 2)	$- \sqrt{2} \cdot (- \sqrt{2})$
182583	Simplify	(-10+14i)/(-11+11i)	$\frac{- 10 + 14 i}{- 11 + 11 i}$
182584	Solve the Inequality for h	-1/3h<=7	$- \frac{1}{3} h \leq 7$
182585	Evaluate	pipi	$π π$
182586	Solve for c	3ab-2bc=12	$3 a b - 2 b c = 12$
182587	Simplify	(4+a)/(a-3)+4/5	$\frac{4 + a}{a - 3} + \frac{4}{5}$
182588	Evaluate	(-1+3/4-1/3)/(2-1/4)	$\frac{- 1 + \frac{3}{4} - \frac{1}{3}}{2 - \frac{1}{4}}$
182589	Solve for P	P(d)=1/33d+1	$P (d) = \frac{1}{33} d + 1$
182590	Simplify	(5u)/(6u+3)+9/(6u+3)	$\frac{5 u}{6 u + 3} + \frac{9}{6 u + 3}$
182591	Simplify	4 square root of 20+ square root of 75	$4 \sqrt{20} + \sqrt{75}$
182592	Evaluate	(2i)^4	${(2 i)}^{4}$
182593	Graph	x<=-2 or x>5	$x \leq - 2$ or $x > 5$
182594	Graph	y>x-5 y>=-2x-2	$y > x - 5$ $y \geq - 2 x - 2$
182595	Evaluate	(-2^3)	$(- 2^{3})$
182596	Solve Using the Quadratic Formula	12x=13-x^2	$12 x = 13 - x^{2}$
182597	Multiply	(3/5)^2	${(\frac{3}{5})}^{2}$
182598	Solve for m	e^m=28	$e^{m} = 28$
182599	Find the Holes in the Graph	(4x^2-4x-24)/(3x^2-10x+3)	$\frac{4 x^{2} - 4 x - 24}{3 x^{2} - 10 x + 3}$
182600	Simplify	(( square root of 5)/2+5/3i)^2	${(\frac{\sqrt{5}}{2} + \frac{5}{3} i)}^{2}$