Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
167501	Solve for x	x^2-4=3x	$x^{2} - 4 = 3 x$
167502	Solve for x	(2x-1)/6=(4x+1)/12+(2x+2)/(2x+1)	$\frac{2 x - 1}{6} = \frac{4 x + 1}{12} + \frac{2 x + 2}{2 x + 1}$
167503	Solve the Inequality for x	x^2-5x-24<=0	$x^{2} - 5 x - 24 \leq 0$
167504	Solve for x	-5+3/(x-3)=(4x)/(x-3)	$- 5 + \frac{3}{x - 3} = \frac{4 x}{x - 3}$
167505	Write Using Positive Exponents	3x^-2	$3 x^{- 2}$
167506	Graph	f(x)=x+1 if x<=-5; -3 if -5=6	$f (x) = {\begin{cases} x + 1 & x \leq - 5 \\ - 3 & - 5 = 6 \end{cases}$
167507	Simplify	(- square root of 6)(-2 square root of -42)	$(- \sqrt{6}) (- 2 \sqrt{- 42})$
167508	Graph Using a Table of Values	f(x)=-4(4/5)^x	$f (x) = - 4 {(\frac{4}{5})}^{x}$
167509	Solve for x	8x-4=2(4x-4)	$8 x - 4 = 2 (4 x - 4)$
167510	Find the Exact Value	1/2*1/2	$\frac{1}{2} \cdot \frac{1}{2}$
167511	Find the Exact Value	natural log of e^3	$\ln (e^{3})$
167512	Evaluate	f(x)=(2/3)^-2	$f (x) = {(\frac{2}{3})}^{- 2}$
167513	Simplify	(1/3)^1	${(\frac{1}{3})}^{1}$
167514	Solve the Inequality for x	(x+1)(x^2-3x+2)<0	$(x + 1) (x^{2} - 3 x + 2) < 0$
167515	Solve the System of Equations	2x+7y=-7 -4x-3y=-19	$2 x + 7 y = - 7$ $- 4 x - 3 y = - 19$
167516	Multiply	(7p-7p)/p*(2p^2)/(8p-8)	$\frac{7 p - 7 p}{p} \cdot \frac{2 p^{2}}{8 p - 8}$
167517	Simplify	5m(5m^4+5m^2-4)	$5 m (5 m^{4} + 5 m^{2} - 4)$
167518	Simplify	( square root of 15)/(3 square root of 3)	$\frac{\sqrt{15}}{3 \sqrt{3}}$
167519	Graph	f^-1(x)=x^2-1	$f^{- 1} (x) = x^{2} - 1$
167520	Solve for x	(2(x+4))/5=2	$\frac{2 (x + 4)}{5} = 2$
167521	Simplify	-5/-2	$\frac{- 5}{- 2}$
167522	Write in Slope-Intercept Form	(9,-2) and (1,6)	$(9, - 2)$ and $(1, 6)$
167523	Solve the Inequality for x	14+8x>=30	$14 + 8 x \geq 30$
167524	Solve the Inequality for x	3(x-4)>=5x+2 ?	$3 (x - 4) \geq 5 x + 2$ ?
167525	Solve for x	(10-x)/2=5/2+(5-x)/3	$\frac{10 - x}{2} = \frac{5}{2} + \frac{5 - x}{3}$
167526	Subtract	5/6-4/8	$\frac{5}{6} - \frac{4}{8}$
167527	Combine Like Terms	-7x+y^3+7x^3+6x-3y^3-2x^3+3x	$- 7 x + y^{3} + 7 x^{3} + 6 x - 3 y^{3} - 2 x^{3} + 3 x$
167528	Graph Using a Table of Values	y=4/x	$y = \frac{4}{x}$
167529	Find the Holes in the Graph	f(x)=(5x)/(3x-11)	$f (x) = \frac{5 x}{3 x - 11}$
167530	Find the LCD	(3x)/(7x^2-5x-2) and 2/(7x^2+9x+2)	$\frac{3 x}{7 x^{2} - 5 x - 2}$ and $\frac{2}{7 x^{2} + 9 x + 2}$
167531	Write in Standard Form	f(x)=x^2+6x	$f (x) = x^{2} + 6 x$
167532	Find the Exact Value	tan(arccos(5x))	$\tan (\arccos (5 x))$
167533	Solve the System of Equations	3x+2y=7 y=-3x+11	$3 x + 2 y = 7$ $y = - 3 x + 11$
167534	Simplify	(-9xy^3-9x^4y^3)+(3xy^3+7y^4-8x^4y^4)+(3x^4y^3+2xy^3)	$(- 9 x y^{3} - 9 x^{4} y^{3}) + (3 x y^{3} + 7 y^{4} - 8 x^{4} y^{4}) + (3 x^{4} y^{3} + 2 x y^{3})$
167535	Solve for s	-1/2s=-6	$- \frac{1}{2} s = - 6$
167536	Simplify	( square root of 25(x-1))÷( square root of 5(x-1)^2)	$\sqrt{25 (x - 1)} \div \sqrt{5 {(x - 1)}^{2}}$
167537	Solve for x	-2/(x-1)=(x-8)/(x+1)	$\frac{- 2}{x - 1} = \frac{x - 8}{x + 1}$
167538	Solve the System of Inequalities	3x+2<-4 or 4x+4>24	$3 x + 2 < - 4$ or $4 x + 4 > 24$
167539	Multiply	(2-5y)(y^2+6y+9)	$(2 - 5 y) (y^{2} + 6 y + 9)$
167540	Solve for m	1+m/3<=6	$1 + \frac{m}{3} \leq 6$
167541	Graph Using a Table of Values	y=(x-2)^2	$y = {(x - 2)}^{2}$
167542	Find the Domain and Range	y=(x-1)/(x+2)	$y = \frac{x - 1}{x + 2}$
167543	Simplify	(4t-8/5)-(3-4/3t)	$(4 t - \frac{8}{5}) - (3 - \frac{4}{3} t)$
167544	Simplify	2x+5+1/(x+7)	$2 x + 5 + \frac{1}{x + 7}$
167545	Simplify	1/( square root of 4)	$\frac{1}{\sqrt{4}}$
167546	Find the Exact Value	cot(360 degrees )	$\cot (360 °)$
167547	Graph	y>=x^2+2x-8	$y \geq x^{2} + 2 x - 8$
167548	Evaluate	(6(-x)^2-1)/((-x)^2)	$\frac{6 {(- x)}^{2} - 1}{{(- x)}^{2}}$
167549	Find the Exact Value	4sin(pi/3)cos(pi/3)	$4 \sin (\frac{π}{3}) \cos (\frac{π}{3})$
167550	Factor	-19xy^7z^7-24y^4z^4	$- 19 x y^{7} z^{7} - 24 y^{4} z^{4}$
167551	Convert to Interval Notation	2<=x	$2 \leq x$
167552	Simplify	(8 square root of -84)(5 square root of -7)	$(8 \sqrt{- 84}) (5 \sqrt{- 7})$
167553	Evaluate	(4-x)^2	${(4 - x)}^{2}$
167554	Solve for x	5/11x+2/3x-1/6x=-189	$\frac{5}{11} x + \frac{2}{3} x - \frac{1}{6} x = - 189$
167555	Find the Exact Value	2/( square root of 3)	$\frac{2}{\sqrt{3}}$
167556	Find the Product	(2x+2)^2	${(2 x + 2)}^{2}$
167557	Solve the Inequality for x	x^2<49	$x^{2} < 49$
167558	Find the Product	(x-3)(x-3)	$(x - 3) (x - 3)$
167559	Combine Like Terms	5-2y^2-3y+2y^2-7y-3+3y^2	$5 - 2 y^{2} - 3 y + 2 y^{2} - 7 y - 3 + 3 y^{2}$
167560	Find f(g(x))	f(x)=x^2+3 , g(x) = square root of x-2	$f (x) = x^{2} + 3$ , $g (x) = \sqrt{x - 2}$
167561	Solve the Inequality for y	4y+3<=y+6	$4 y + 3 \leq y + 6$
167562	Simplify	(2+i)/(3-i)	$\frac{2 + i}{3 - i}$
167563	Graph	f(x)=1/2cos(x)	$f (x) = \frac{1}{2} \cos (x)$
167564	Write in Standard Form	-4x-19=x^2	$- 4 x - 19 = x^{2}$
167565	Find the Exact Value	( square root of 3)^2	${(\sqrt{3})}^{2}$
167566	Solve for y	x=1/2yz	$x = \frac{1}{2} y z$
167567	Graph	(negative infinity,1) union (1,infinity)	$(- \infty, 1) \cup (1, \infty)$
167568	Combine Like Terms	-1+4x^3-6+7y^2+5+6x^3-4x^3	$- 1 + 4 x^{3} - 6 + 7 y^{2} + 5 + 6 x^{3} - 4 x^{3}$
167569	Solve the Inequality for x	1<\|x\|<2	$1 < \| x \| < 2$
167570	Simplify	(x^2-9)-(x^2-5x+6)	$(x^{2} - 9) - (x^{2} - 5 x + 6)$
167571	Simplify	x-(x-y)	$x - (x - y)$
167572	Solve for n	p^3q^2((p^4q^n*r^3)/(r^-4))=p^7q^5r^7	$p^{3} \cdot q^{2} (\frac{p^{4} \cdot q^{n} \cdot r^{3}}{r^{- 4}}) = p^{7} q^{5} r^{7}$
167573	Solve the Inequality for g	5(g+4)>15	$5 (g + 4) > 15$
167574	Evaluate	1/2(9)^(-1/2)	$\frac{1}{2} {(9)}^{- \frac{1}{2}}$
167575	Simplify	(m+5n)/(12m)-(m-n)/(12m)	$\frac{m + 5 n}{12 m} - \frac{m - n}{12 m}$
167576	Write in Standard Form	y=x^2-6x+5	$y = x^{2} - 6 x + 5$
167577	Evaluate	sec(theta)-cos(theta)	$\sec (θ) - \cos (θ)$
167578	Simplify	(3x^-3y)^3*2xy^-4	${(3 x^{- 3} y)}^{3} \cdot 2 x y^{- 4}$
167579	Solve the Inequality for z	-53>-3(3z+3)+3z	$- 53 > - 3 (3 z + 3) + 3 z$
167580	Solve for f	f=(9/5*C)+32	$f = (\frac{9}{5} \cdot C) + 32$
167581	Graph	y<=-5/2x-2 y<-1/2x+2	$y \leq - \frac{5}{2} x - 2$ $y < - \frac{1}{2} x + 2$
167582	Evaluate	(2pi)/((8pi)/5)	$\frac{2 π}{\frac{8 π}{5}}$
167583	Factor	-10t^5+12t^4+50t^3-60t^2	$- 10 t^{5} + 12 t^{4} + 50 t^{3} - 60 t^{2}$
167584	Simplify	((2y^2)^4)/(-10y^-1)	$\frac{{(2 y^{2})}^{4}}{- 10 y^{- 1}}$
167585	Solve the Inequality for b	b-7<-12	$b - 7 < - 12$
167586	Solve for x	1+7/(x+5)=-x/(x+5)	$1 + \frac{7}{x + 5} = - \frac{x}{x + 5}$
167587	Rationalize the Denominator	2/(2- square root of 6x)	$\frac{2}{2 - \sqrt{6 x}}$
167588	Find All Complex Solutions	3(y+9)=12y+13	$3 (y + 9) = 12 y + 13$
167589	Find the Exact Value	(2/5)^2	${(\frac{2}{5})}^{2}$
167590	Find the x and y Intercepts	y=x/2-3	$y = \frac{x}{2} - 3$
167591	Evaluate	(5!)/(1!(5-1)!)	$\frac{5!}{1! (5 - 1)!}$
167592	Graph	f(x)=[2x]	$f (x) = [2 x]$
167593	Simplify	(2x)/3+1/2	$\frac{2 x}{3} + \frac{1}{2}$
167594	Find the Exact Value	-2^5	$- 2^{5}$
167595	Solve for x	\|2x+6\|=x	$\| 2 x + 6 \| = x$
167596	Combine Like Terms	-2+5x^3+3y^2+4x^3-7+3-5x^3	$- 2 + 5 x^{3} + 3 y^{2} + 4 x^{3} - 7 + 3 - 5 x^{3}$
167597	Simplify	4/5+6/(5x)	$\frac{4}{5} + \frac{6}{5 x}$
167598	Graph	x^2+6x>=-8	$x^{2} + 6 x \geq - 8$
167599	Graph	x^2-8x<=-12	$x^{2} - 8 x \leq - 12$
167600	Find the Holes in the Graph	f(x)=(3x+15)/(x^2-25)	$f (x) = \frac{3 x + 15}{x^{2} - 25}$