Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
188501	Solve for n	36^(n-3)*216^n=216^(2n+1)	$36^{n - 3} \cdot 216^{n} = 216^{2 n + 1}$
188502	Write in Standard Form	(4+x)(4-x)	$(4 + x) (4 - x)$
188503	Solve for x	5(5x-8)^2=5	$5 {(5 x - 8)}^{2} = 5$
188504	Simplify	(x^2(xy)^-3z^-2)/(x^-2yz^-1)	$\frac{x^{2} {(x y)}^{- 3} z^{- 2}}{x^{- 2} y z^{- 1}}$
188505	Simplify	4/(x^2-3x)+6/(3x-9)	$\frac{4}{x^{2} - 3 x} + \frac{6}{3 x - 9}$
188506	Solve the System of Inequalities	2x+1<=-4 or 2x+1>=4	$2 x + 1 \leq - 4$ or $2 x + 1 \geq 4$
188507	Solve for a	17a-31a-40=16	$17 a - 31 a - 40 = 16$
188508	Solve for x	12x^2-36x+27=0	$12 x^{2} - 36 x + 27 = 0$
188509	Solve for x	-7/(6x)+4/(3x)=-2/3	$- \frac{7}{6 x} + \frac{4}{3 x} = - \frac{2}{3}$
188510	Solve for x	(2x-4)/x=(x-2)/2	$\frac{2 x - 4}{x} = \frac{x - 2}{2}$
188511	Solve the Inequality for x	5x+24>2(x-9)-3x	$5 x + 24 > 2 (x - 9) - 3 x$
188512	Solve for x	2.25(4x-4)=-2+10x+12	$2.25 (4 x - 4) = - 2 + 10 x + 12$
188513	Solve for c	f=(9/5*c)+32	$f = (\frac{9}{5} \cdot c) + 32$
188514	Simplify	-x^3 square root of 3+x square root of 147x^4	$- x^{3} \sqrt{3} + x \sqrt{147 x^{4}}$
188515	Subtract	3/(x^2-3x)-4/(x^2-4x+3)	$\frac{3}{x^{2} - 3 x} - \frac{4}{x^{2} - 4 x + 3}$
188516	Evaluate	2+5(23)^3	$2 + 5 \cdot {(2 \cdot 3)}^{3}$
188517	Multiply	(4x^2-8x)/(x+1)*(x^2+2x+1)/(4x)	$\frac{4 x^{2} - 8 x}{x + 1} \cdot \frac{x^{2} + 2 x + 1}{4 x}$
188518	Graph	2f(x)+1	$2 f (x) + 1$
188519	Find All Complex Solutions	10/(x^2-2x)+4/x=5/(x-2)	$\frac{10}{x^{2} - 2 x} + \frac{4}{x} = \frac{5}{x - 2}$
188520	Find the Product	cube root of 4* square root of 3	$\sqrt[3]{4} \cdot \sqrt{3}$
188521	Simplify	5x^2+x-x^2+4x	$5 x^{2} + x - x^{2} + 4 x$
188522	Find the x and y Intercepts	f(x)=(x-3)(2x-8)	$f (x) = (x - 3) (2 x - 8)$
188523	Graph	y=4*(1/2)^(x-1)-2	$y = 4 \cdot {(\frac{1}{2})}^{x - 1} - 2$
188524	Find g(f(x))	f(x)=6x g(x)=x/6	$f (x) = 6 x$ $g (x) = \frac{x}{6}$
188525	Simplify	(6r^2-7r+2)/(2r-1)*4/(15r-10)	$\frac{6 r^{2} - 7 r + 2}{2 r - 1} \cdot \frac{4}{15 r - 10}$
188526	Simplify	(7 square root of 100)/( square root of 500)	$\frac{7 \sqrt{100}}{\sqrt{500}}$
188527	Solve the Absolute Value Inequality for x	2\|x+3\|-4<-8	$2 \| x + 3 \| - 4 < - 8$
188528	Convert to Radical Form	2^3*2^4	$2^{3} \cdot 2^{4}$
188529	Graph	f^-1(x)=-x/2+3/2	$f^{- 1} (x) = - \frac{x}{2} + \frac{3}{2}$
188530	Simplify	((-3p^-3)/(q^-4))^2	${(\frac{- 3 p^{- 3}}{q^{- 4}})}^{2}$
188531	Simplify	( square root of 3)/2*1/2	$\frac{\sqrt{3}}{2} \cdot \frac{1}{2}$
188532	Divide	3x^2y^3-(5a^2x^4)÷(-3)x^2	$3 x^{2} y^{3} - 5 a^{2} x^{4} \div (- 3) x^{2}$
188533	Write in Slope-Intercept Form	y-7=-1/3(x+9)	$y - 7 = - \frac{1}{3} (x + 9)$
188534	Simplify	( fourth root of 81)^5	${(\sqrt[4]{81})}^{5}$
188535	Evaluate Using the Given Value	9-8/s when s=4	$9 - \frac{8}{s}$ when $s = 4$
188536	Solve the System of Equations	y=-1/3x-4 y=2/3x+2	$y = - \frac{1}{3} x - 4$ $y = \frac{2}{3} x + 2$
188537	Find the GCF	x^2	$x^{2}$
188538	Factor	2x^2+(3a+8)x+a(a+4)	$2 x^{2} + (3 a + 8) x + a (a + 4)$
188539	Graph	f(x)=1/2(x-4)^2+3	$f (x) = \frac{1}{2} {(x - 4)}^{2} + 3$
188540	Solve the Inequality for x	-50<7x+6<-8	$- 50 < 7 x + 6 < - 8$
188541	Find the Distance Between Two Points	(-2,4) and (4,-6)	$(- 2, 4)$ and $(4, - 6)$
188542	Solve for w	cube root of w=4	$\sqrt[3]{w} = 4$
188543	Simplify	(2/3-1/5)/(7/2-5/6)	$\frac{\frac{2}{3} - \frac{1}{5}}{\frac{7}{2} - \frac{5}{6}}$
188544	Find the Exact Value	\|3\|-\|-1\|	$\| 3 \| - \| - 1 \|$
188545	Evaluate	(4^2)÷((2^3)÷((-1)*(9+(-5))))	$4^{2} \div (2^{3} \div ((- 1) \cdot (9 + (- 5))))$
188546	Write as a Single Logarithm	log of x-1/2 log of y+3 log of z	$\log (x) - \frac{1}{2} \log (y) + 3 \log (z)$
188547	Simplify	14y(15x^4y)	$14 y (15 x^{4} y)$
188548	Simplify	(7^-3)/(5^-4)	$\frac{7^{- 3}}{5^{- 4}}$
188549	Find the x and y Intercepts	f(x)=8x^3+9x^5-6x-3x^2+2x^4	$f (x) = 8 x^{3} + 9 x^{5} - 6 x - 3 x^{2} + 2 x^{4}$
188550	Find the Roots (Zeros)	x+4	$x + 4$
188551	Solve for S	S+4=24	$S + 4 = 24$
188552	Solve for θ	4cos(theta)^2-1=0	$4 \cos^{2} (θ) - 1 = 0$
188553	Find the First Term	a_n=2^(n-1)	$a_{n} = 2^{n - 1}$
188554	Solve the Rational Equation for x	(x+3)/2-x/4=4/3	$\frac{x + 3}{2} - \frac{x}{4} = \frac{4}{3}$
188555	Find the Perpendicular Line	(2,8) and perpendicular to 3x+5y=1	$(2, 8)$ and perpendicular to $3 x + 5 y = 1$
188556	Graph	g(x)=-3,-8<=x<-2; 1,-2<=x<4; 5,4<=x<10	$g (x) = {\begin{cases} - 3, - 8 \leq x < - 2 \\ 1, - 2 \leq x < 4 \\ 5, 4 \leq x < 10 \end{cases}$
188557	Find the Holes in the Graph	y=(x+3)/(x^2+8x+15)	$y = \frac{x + 3}{x^{2} + 8 x + 15}$
188558	Find All Complex Solutions	(17-3x)/((x-3)(x-4))=(x+1)/(x-4)	$\frac{17 - 3 x}{(x - 3) (x - 4)} = \frac{x + 1}{x - 4}$
188559	Simplify	x/3+x	$\frac{x}{3} + x$
188560	Find the x and y Intercepts	h(x)=((x-1)(x-5))/((2x)(x-4))	$h (x) = \frac{(x - 1) (x - 5)}{(2 x) (x - 4)}$
188561	Simplify	(1/4m-2n)^2	${(\frac{1}{4} m - 2 n)}^{2}$
188562	Solve the System of Inequalities	-5<=4-9x<-2	$- 5 \leq 4 - 9 x < - 2$
188563	Graph	(5/2,0)	$(\frac{5}{2}, 0)$
188564	Find the Domain and Range	f(x) = log base 1/4 of x	$f (x) = \log_{\frac{1}{4}} (x)$
188565	Simplify	1/3(3x)	$\frac{1}{3} (3 x)$
188566	Solve for T	D=VT	$D = V T$
188567	Graph	f(x)=-x-5 if x<-1; -x if x>2	$f (x) = {\begin{cases} - x - 5 & x < - 1 \\ - x & x > 2 \end{cases}$
188568	Find the Distance Between Two Points	(8,-5) and (1,1)	$(8, - 5)$ and $(1, 1)$
188569	Simplify	( eighth root of 81)/( sixth root of 3)	$\frac{\sqrt[8]{81}}{\sqrt[6]{3}}$
188570	Solve for x	(x^2+6)^2-21=4x^2+24	${(x^{2} + 6)}^{2} - 21 = 4 x^{2} + 24$
188571	Evaluate	3^-1(46)*2^-3	$3^{- 1} \cdot (4 \cdot 6) \cdot 2^{- 3}$
188572	Graph Using a Table of Values	y=-2\|x\|	$y = - 2 \| x \|$
188573	Solve the System of Equations	y=3x+3 and 2y-2x=6	$y = 3 x + 3$ and $2 y - 2 x = 6$
188574	Simplify	4 sixth root of 3+2 fourth root of 32-3 sixth root of 192-2 sixth root of 192	$4 \sqrt[6]{3} + 2 \sqrt[4]{32} - 3 \sqrt[6]{192} - 2 \sqrt[6]{192}$
188575	Evaluate	cos(x)^2+2cos(x)+1=0	$\cos^{2} (x) + 2 \cos (x) + 1 = 0$
188576	Solve for x	x/(x+1)-x/(x^2+3x+2)=3/(x+2)	$\frac{x}{x + 1} - \frac{x}{x^{2} + 3 x + 2} = \frac{3}{x + 2}$
188577	Simplify	(x^2+y)^2	${(x^{2} + y)}^{2}$
188578	Solve the Inequality for x	(x-7)(4-x)(x+1)>0	$(x - 7) (4 - x) (x + 1) > 0$
188579	Solve Using the Quadratic Formula	x^2+17x+12=-3x^2	$x^{2} + 17 x + 12 = - 3 x^{2}$
188580	Graph Using a Table of Values	y=x^3-3	$y = x^{3} - 3$
188581	Simplify	square root of -24* square root of -3* square root of -2	$\sqrt{- 24} \cdot \sqrt{- 3} \cdot \sqrt{- 2}$
188582	Combine Like Terms	(m-3+4n)*(-8)	$(m - 3 + 4 n) \cdot (- 8)$
188583	Find the Distance Between Two Points	(-2,-2) and (0,7)	$(- 2, - 2)$ and $(0, 7)$
188584	Find the Exact Value	cos(660 degrees )	$\cos (660 °)$
188585	Find the Parallel Line	(-1,7) which is parallel to the line y=8x+4	$(- 1, 7)$ which is parallel to the line $y = 8 x + 4$
188586	Evaluate	2(3r+7)-(2+r)	$2 (3 r + 7) - (2 + r)$
188587	Simplify	(2x^3-8x)/(4x^3-16x^2+16x)	$\frac{2 x^{3} - 8 x}{4 x^{3} - 16 x^{2} + 16 x}$
188588	Simplify	3/5m^2-2mn+1/10m^2-1/3mn+2mn-2m^2	$\frac{3}{5} m^{2} - 2 m n + \frac{1}{10} m^{2} - \frac{1}{3} m n + 2 m n - 2 m^{2}$
188589	Solve for x	square root of x-3=0	$\sqrt{x} - 3 = 0$
188590	Graph	cos(theta)>0 and tan(theta)>0	$\cos (θ) > 0$ and $\tan (θ) > 0$
188591	Solve the Inequality for x	(x+1)(x-2)<=0	$(x + 1) (x - 2) \leq 0$
188592	Graph	f(x)=2+2x if x<0; x^2 if x>=0	$f (x) = {\begin{cases} 2 + 2 x & x < 0 \\ x^{2} & x \geq 0 \end{cases}$
188593	Graph	f(x)=(2x^2-18)/(g(x))	$f (x) = \frac{2 x^{2} - 18}{g (x)}$
188594	Solve for x	( square root of x+7)/( square root of x+1)=( square root of x+1)/( square root of x-1)	$\frac{\sqrt{x} + 7}{\sqrt{x} + 1} = \frac{\sqrt{x} + 1}{\sqrt{x} - 1}$
188595	Simplify	3n^2(5n^2-2n+1)+(4n^2-11n^4-9)	$3 n^{2} (5 n^{2} - 2 n + 1) + (4 n^{2} - 11 n^{4} - 9)$
188596	Simplify	square root of 49/50	$\sqrt{\frac{49}{50}}$
188597	Simplify	4n+4+1+3n	$4 n + 4 + 1 + 3 n$
188598	Simplify	6/(-4i)	$\frac{6}{- 4 i}$
188599	Solve the Inequality for x	-x^2-10x-21>=0	$- x^{2} - 10 x - 21 \geq 0$
188600	Solve for x	x^2-k/2x=2p	$x^{2} - \frac{k}{2} x = 2 p$