Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
234501	Simplify	-(7/8)	$- (\frac{7}{8})$
234502	Simplify	-2^2+2^0+2^-1	$- 2^{2} + 2^{0} + 2^{- 1}$
234503	Evaluate	f(4x)=x/(x^2+1)	$f (4 x) = \frac{x}{x^{2} + 1}$
234504	Simplify	(x^10)^(1/2)*x^-11	${(x^{10})}^{\frac{1}{2}} \cdot x^{- 11}$
234505	Simplify	-x^5+6x^4+2x^5-6x^3+x^0-1	$- x^{5} + 6 x^{4} + 2 x^{5} - 6 x^{3} + x^{0} - 1$
234506	Simplify	(5x-20)/(4x^2-25)*(2x-5)/(5x+3)	$\frac{5 x - 20}{4 x^{2} - 25} \cdot \frac{2 x - 5}{5 x + 3}$
234507	Simplify	Simplify square root of -25	Simplify $\sqrt{- 25}$
234508	Simplify	Simplify ( sixth root of 64)/( cube root of 4)	Simplify $\frac{\sqrt[6]{64}}{\sqrt[3]{4}}$
234509	Solve for v	216=v^3	$216 = v^{3}$
234510	Rationalize the Denominator	( square root of 8- square root of 3)/( square root of 2+ square root of 12)	$\frac{\sqrt{8} - \sqrt{3}}{\sqrt{2} + \sqrt{12}}$
234511	Solve for g	4g-5-g=13	$4 g - 5 - g = 13$
234512	Simplify	4i+(8-3i)-(12+ square root of -25)	$4 i + (8 - 3 i) - (12 + \sqrt{- 25})$
234513	Multiply	(x+3)/(x-1)*(x^2-2x+1)/(x^2+5x+6)	$\frac{x + 3}{x - 1} \cdot \frac{x^{2} - 2 x + 1}{x^{2} + 5 x + 6}$
234514	Evaluate	(2x^-4)/(3x^-2)	$\frac{2 x^{- 4}}{3 x^{- 2}}$
234515	Find All Complex Solutions	1-2/(x-4)=-16/(x^2-16)	$1 - \frac{2}{x - 4} = - \frac{16}{x^{2} - 16}$
234516	Simplify	1/2 square root of 18	$\frac{1}{2} \sqrt{18}$
234517	Factor	54i^6-16	$54 i^{6} - 16$
234518	Solve the Inequality for k	-1/3(k+3)<=6	$- \frac{1}{3} (k + 3) \leq 6$
234519	Find the Roots (Zeros)	(x+1)x	$(x + 1) x$
234520	Find the Roots (Zeros)	-x^4+x^3+2x^2	$- x^{4} + x^{3} + 2 x^{2}$
234521	Evaluate	fifth root of 3^3* fifth root of 3^4	$\sqrt[5]{3^{3}} \cdot \sqrt[5]{3^{4}}$
234522	Solve for x	x-42+1/4x+21+2x-59=180	$x - 42 + \frac{1}{4} x + 21 + 2 x - 59 = 180$
234523	Simplify	(5+5x^3+2x^2)-(8x^3-6-4x^2)	$(5 + 5 x^{3} + 2 x^{2}) - (8 x^{3} - 6 - 4 x^{2})$
234524	Evaluate	2cos(30 degrees )	$2 \cos (30 °)$
234525	Evaluate	-x<-29	$- x < - 29$
234526	Write in Standard Form	10+(x^2)/6	$10 + \frac{x^{2}}{6}$
234527	Simplify	square root of square root of 16x^4y^4	$\sqrt{\sqrt{16 x^{4} y^{4}}}$
234528	Find the Equation Given the Roots	-4/3 , -2i	$- \frac{4}{3}$ , $- 2 i$
234529	Evaluate	(11/12+11/20)*15/8	$(\frac{11}{12} + \frac{11}{20}) \cdot \frac{15}{8}$
234530	Simplify	7x^2y^2+12xy^2-3x^2y+11-12xy^2+20x^2y+11xy-5	$7 x^{2} y^{2} + 12 x y^{2} - 3 x^{2} y + 11 - 12 x y^{2} + 20 x^{2} y + 11 x y - 5$
234531	Convert to Polar	3y-y^2=x^2	$3 y - y^{2} = x^{2}$
234532	Divide Using Long Polynomial Division	(x^4+x^3-3x^2-10x+2)/(x^2+3x+3)	$\frac{x^{4} + x^{3} - 3 x^{2} - 10 x + 2}{x^{2} + 3 x + 3}$
234533	Simplify	-18 square root of 5/6	$- 18 \sqrt{\frac{5}{6}}$
234534	Simplify the Radical Expression	(5^4*b^-10)^-6	${(5^{4} \cdot b^{- 10})}^{- 6}$
234535	Find the Quotient	x^5-32 is divided by x-2	$x^{5} - 32$ is divided by $x - 2$
234536	Simplify	(-8(2x+5))/(-4(5+2x))	$\frac{- 8 (2 x + 5)}{- 4 (5 + 2 x)}$
234537	Solve for x	10/3=4/x+2	$\frac{10}{3} = \frac{4}{x} + 2$
234538	Find the Holes in the Graph	f(x)=(3x^2+2x-8)/(4-x^2)	$f (x) = \frac{3 x^{2} + 2 x - 8}{4 - x^{2}}$
234539	Solve for x	2/(3x-4)=1/4	$\frac{2}{3 x - 4} = \frac{1}{4}$
234540	Solve for t	(t+2)^2=7	${(t + 2)}^{2} = 7$
234541	Simplify	((6x^4)/(5y))^-2	${(\frac{6 x^{4}}{5 y})}^{- 2}$
234542	Solve for B	9^2+B^2=13^2	$9^{2} + B^{2} = 13^{2}$
234543	Solve for q	1/2(q+1)=4/3-q	$\frac{1}{2} (q + 1) = \frac{4}{3} - q$
234544	Solve for a	1/4a^2-1/9b^2=0	$\frac{1}{4} a^{2} - \frac{1}{9} b^{2} = 0$
234545	Simplify	1/x-y	$\frac{1}{x} - y$
234546	Describe the Transformation	y=1/2(x+4)^2-8	$y = \frac{1}{2} {(x + 4)}^{2} - 8$
234547	Solve the System of Equations	x+y=12 y=x-4	$x + y = 12$ $y = x - 4$
234548	Evaluate	(21^635^380^3)/(15^414^930^2)	$\frac{21^{6} \cdot 35^{3} \cdot 80^{3}}{15^{4} \cdot 14^{9} \cdot 30^{2}}$
234549	Solve for A	R=(2AS)/(L-2S)	$R = \frac{2 A S}{L - 2 S}$
234550	Graph	g(x+3)=(x+3)^2-3	$g (x + 3) = {(x + 3)}^{2} - 3$
234551	Find the Inverse	f(x) = cube root of 1-x^3	$f (x) = \sqrt[3]{1 - x^{3}}$
234552	Solve for x	5^((x+1)(x-2))=625	$5^{(x + 1) (x - 2)} = 625$
234553	Simplify	-(x^2)/(x^2)	$- \frac{x^{2}}{x^{2}}$
234554	Evaluate	(x^5*x^-3)/(x^-5)	$\frac{x^{5} \cdot x^{- 3}}{x^{- 5}}$
234555	Simplify	((m-4)/(3m^2+24m))÷((m-4)/(m-6))	$\frac{m - 4}{3 m^{2} + 24 m} \div \frac{m - 4}{m - 6}$
234556	Simplify	( cube root of 512)÷( square root of 16)	$\sqrt[3]{512} \div \sqrt{16}$
234557	Simplify	( square root of 40-2 square root of 5)/( square root of 10)	$\frac{\sqrt{40} - 2 \sqrt{5}}{\sqrt{10}}$
234558	Find the Product	x(x+3)	$x (x + 3)$
234559	Simplify	( square root of 27x^9)^4	${(\sqrt{27 x^{9}})}^{4}$
234560	Find the Roots (Zeros)	(x^2+4)(x+5)^2=0	$(x^{2} + 4) {(x + 5)}^{2} = 0$
234561	Simplify the Radical Expression	4 square root of 24-2 square root of 80+11 square root of 6-3 square root of 216	$4 \sqrt{24} - 2 \sqrt{80} + 11 \sqrt{6} - 3 \sqrt{216}$
234562	Convert to Radical Form	((5^3)^9)÷(5^12)	${(5^{3})}^{9} \div 5^{12}$
234563	Simplify	(y/2-1/x)/((6y)/x)	$\frac{\frac{y}{2} - \frac{1}{x}}{\frac{6 y}{x}}$
234564	Solve for b	a=b-14	$a = b - 14$
234565	Factor	x^2+(1/x)^2+2	$x^{2} + {(\frac{1}{x})}^{2} + 2$
234566	Find the Quotient	(5y^4z^5)/(y^4z^3)	$\frac{5 y^{4} z^{5}}{y^{4} z^{3}}$
234567	Solve the Inequality for t	\|3t+1\|>8	$\| 3 t + 1 \| > 8$
234568	Simplify	(5x^4y^4z^0)^0	${(5 x^{4} y^{4} z^{0})}^{0}$
234569	Simplify	(2^2)^-1*2^2	${(2^{2})}^{- 1} \cdot 2^{2}$
234570	Solve for y	y^3+4y-3y^2-12=0	$y^{3} + 4 y - 3 y^{2} - 12 = 0$
234571	Solve for v	v+3/4=1/8	$v + \frac{3}{4} = \frac{1}{8}$
234572	Simplify	square root of 3xy-2 square root of 27x^3y+4 square root of 3xy	$\sqrt{3 x y} - 2 \sqrt{27 x^{3} y} + 4 \sqrt{3 x y}$
234573	Multiply	(3x^2-2x-21)/(2x^2-9x+7)*(2x-7)/(4x-12)	$\frac{3 x^{2} - 2 x - 21}{2 x^{2} - 9 x + 7} \cdot \frac{2 x - 7}{4 x - 12}$
234574	Graph	y=-3x-4 y+4=-3x	$y = - 3 x - 4$ $y + 4 = - 3 x$
234575	Simplify	(5 square root of 4)/(3 square root of 5)	$\frac{5 \sqrt{4}}{3 \sqrt{5}}$
234576	Solve for b	2/7>b+5/7	$\frac{2}{7} > b + \frac{5}{7}$
234577	Factor by Grouping	54x^3+250y^3	$54 x^{3} + 250 y^{3}$
234578	Simplify	3xy^4*2x^-3y^4	$3 x y^{4} \cdot 2 x^{- 3} y^{4}$
234579	Find the Excluded Values	(8x^3-64)/(2x-4)	$\frac{8 x^{3} - 64}{2 x - 4}$
234580	Solve for b	4a^2-b^2=0	$4 a^{2} - b^{2} = 0$
234581	Divide Using Long Polynomial Division	(3x^4-5x^3+x^2+7x)÷(3x+1)	$(3 x^{4} - 5 x^{3} + x^{2} + 7 x) \div (3 x + 1)$
234582	Solve for x	( fourth root of 7x-5)/2 = fourth root of x-2	$\frac{\sqrt[4]{7 x - 5}}{2} = \sqrt[4]{x - 2}$
234583	Simplify	Simplify: (5^2)/(5^23)	Simplify: $\frac{5^{2}}{5^{23}}$
234584	Solve for R	PV=nRT ; solve for R	$P V = n R T$ ; solve for $R$
234585	Evaluate	49+27^2+9	$4 \times 9 + 2 \times 7^{2} + 9$
234586	Solve for x	x/(x-2)+2=8/(x^2-4)	$\frac{x}{x - 2} + 2 = \frac{8}{x^{2} - 4}$
234587	Solve the Rational Equation for x	(2^(x/2))(4^(x/2))=2^6	$(2^{\frac{x}{2}}) (4^{\frac{x}{2}}) = 2^{6}$
234588	Multiply	-x*(-x^2)	$- x \cdot (- x^{2})$
234589	Write in Slope-Intercept Form	4x+y>=4	$4 x + y \geq 4$
234590	Expand Using Pascal's Triangle	(2x^2-3y)^3	${(2 x^{2} - 3 y)}^{3}$
234591	Simplify	-(3(t)^2)/(-12t^-4)	$- \frac{3 {(t)}^{2}}{- 12 t^{- 4}}$
234592	Solve for v	57=-3(4v+1)+2v	$57 = - 3 (4 v + 1) + 2 v$
234593	Factor	3/2a^2-2ab+2/3b^2	$\frac{3}{2} a^{2} - 2 a b + \frac{2}{3} b^{2}$
234594	Simplify	tan(theta)^2+1/25(cos(theta)^2-1)	$\tan^{2} (θ) + \frac{1}{25} (\cos^{2} (θ) - 1)$
234595	Simplify the Radical Expression	(x4/3)/(x2/3)	$\frac{x \frac{4}{3}}{x \frac{2}{3}}$
234596	Solve by Addition/Elimination	10x-9y=46 and -2x+3y=10	$10 x - 9 y = 46$ and $- 2 x + 3 y = 10$
234597	Simplify	-9x-3-(5x+3)-7	$- 9 x - 3 - (5 x + 3) - 7$
234598	Graph	m(x)=4^(5/2x)	$m (x) = 4^{\frac{5}{2} x}$
234599	Simplify	(2/(7x^3))÷(2/(3x^3))	$\frac{2}{7 x^{3}} \div \frac{2}{3 x^{3}}$
234600	Solve the Rational Equation for x	square root of 4x-4=x-1	$\sqrt{4 x - 4} = x - 1$