Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
234501	Graph	y=3x-2 y-2=x	$y = 3 x - 2$ $y - 2 = x$
234502	Solve the System of Inequalities	y>-3 y>=5x	$y > - 3$ $y \geq 5 x$
234503	Solve for x	2 square root of x=3	$2 \sqrt{x} = 3$
234504	Solve for x	(x-10)/(x^2+8x+12)=3/(x+2)+4/(x+6)	$\frac{x - 10}{x^{2} + 8 x + 12} = \frac{3}{x + 2} + \frac{4}{x + 6}$
234505	Graph	y>x^2+3x-4 y<-x^2-x+2	$y > x^{2} + 3 x - 4$ $y < - x^{2} - x + 2$
234506	Solve the Rational Equation for x	square root of 2x=4	$\sqrt{2 x} = 4$
234507	Simplify	(x^-2)/( square root of x^-2)	$\frac{x^{- 2}}{\sqrt{x^{- 2}}}$
234508	Simplify	((a-b)/(7a+7b))÷((a^2-b^2)/(a^2+4a+4))	$\frac{a - b}{7 a + 7 b} \div \frac{a^{2} - b^{2}}{a^{2} + 4 a + 4}$
234509	Find the Determinant	A=[[1,2,-2],[2,1,-4],[3,0,-6]]	$A = [\begin{array}{c} 1 & 2 & - 2 \\ 2 & 1 & - 4 \\ 3 & 0 & - 6 \end{array}]$
234510	Find the Inverse	y=(2-x)/3	$y = \frac{2 - x}{3}$
234511	Divide	(x^3+1)÷(x^2-x+1)	$(x^{3} + 1) \div (x^{2} - x + 1)$
234512	Simplify the Radical Expression	( square root of w^11)/( cube root of w^8)	$\frac{\sqrt{w^{11}}}{\sqrt[3]{w^{8}}}$
234513	Solve for x	2/((4x-3)^(1/2))=1	$\frac{2}{{(4 x - 3)}^{\frac{1}{2}}} = 1$
234514	Solve for x	log base 2 of 4^(3x-1)=25^( log base 5 of 2)	$\log_{2} (4^{3 x - 1}) = 25^{\log_{5} (2)}$
234515	Simplify	fourth root of (243x^3)/(3x^7)	$\sqrt[4]{\frac{243 x^{3}}{3 x^{7}}}$
234516	Graph	y=0 , 5x+1	$y = 0$ , $5 x + 1$
234517	Simplify	-(7/8)	$- (\frac{7}{8})$
234518	Simplify	-2^2+2^0+2^-1	$- 2^{2} + 2^{0} + 2^{- 1}$
234519	Evaluate	f(4x)=x/(x^2+1)	$f (4 x) = \frac{x}{x^{2} + 1}$
234520	Simplify	(x^10)^(1/2)*x^-11	${(x^{10})}^{\frac{1}{2}} \cdot x^{- 11}$
234521	Simplify	-x^5+6x^4+2x^5-6x^3+x^0-1	$- x^{5} + 6 x^{4} + 2 x^{5} - 6 x^{3} + x^{0} - 1$
234522	Simplify	(5x-20)/(4x^2-25)*(2x-5)/(5x+3)	$\frac{5 x - 20}{4 x^{2} - 25} \cdot \frac{2 x - 5}{5 x + 3}$
234523	Simplify	Simplify square root of -25	Simplify $\sqrt{- 25}$
234524	Simplify	Simplify ( sixth root of 64)/( cube root of 4)	Simplify $\frac{\sqrt[6]{64}}{\sqrt[3]{4}}$
234525	Solve for v	216=v^3	$216 = v^{3}$
234526	Rationalize the Denominator	( square root of 8- square root of 3)/( square root of 2+ square root of 12)	$\frac{\sqrt{8} - \sqrt{3}}{\sqrt{2} + \sqrt{12}}$
234527	Solve for g	4g-5-g=13	$4 g - 5 - g = 13$
234528	Simplify	4i+(8-3i)-(12+ square root of -25)	$4 i + (8 - 3 i) - (12 + \sqrt{- 25})$
234529	Multiply	(x+3)/(x-1)*(x^2-2x+1)/(x^2+5x+6)	$\frac{x + 3}{x - 1} \cdot \frac{x^{2} - 2 x + 1}{x^{2} + 5 x + 6}$
234530	Evaluate	(2x^-4)/(3x^-2)	$\frac{2 x^{- 4}}{3 x^{- 2}}$
234531	Find All Complex Solutions	1-2/(x-4)=-16/(x^2-16)	$1 - \frac{2}{x - 4} = - \frac{16}{x^{2} - 16}$
234532	Simplify	1/2 square root of 18	$\frac{1}{2} \sqrt{18}$
234533	Factor	54i^6-16	$54 i^{6} - 16$
234534	Solve the Inequality for k	-1/3(k+3)<=6	$- \frac{1}{3} (k + 3) \leq 6$
234535	Find the Roots (Zeros)	(x+1)x	$(x + 1) x$
234536	Find the Roots (Zeros)	-x^4+x^3+2x^2	$- x^{4} + x^{3} + 2 x^{2}$
234537	Evaluate	fifth root of 3^3* fifth root of 3^4	$\sqrt[5]{3^{3}} \cdot \sqrt[5]{3^{4}}$
234538	Solve for x	x-42+1/4x+21+2x-59=180	$x - 42 + \frac{1}{4} x + 21 + 2 x - 59 = 180$
234539	Simplify	(5+5x^3+2x^2)-(8x^3-6-4x^2)	$(5 + 5 x^{3} + 2 x^{2}) - (8 x^{3} - 6 - 4 x^{2})$
234540	Evaluate	2cos(30 degrees )	$2 \cos (30 °)$
234541	Evaluate	-x<-29	$- x < - 29$
234542	Write in Standard Form	10+(x^2)/6	$10 + \frac{x^{2}}{6}$
234543	Simplify	square root of square root of 16x^4y^4	$\sqrt{\sqrt{16 x^{4} y^{4}}}$
234544	Find the Equation Given the Roots	-4/3 , -2i	$- \frac{4}{3}$ , $- 2 i$
234545	Evaluate	(11/12+11/20)*15/8	$(\frac{11}{12} + \frac{11}{20}) \cdot \frac{15}{8}$
234546	Simplify	7x^2y^2+12xy^2-3x^2y+11-12xy^2+20x^2y+11xy-5	$7 x^{2} y^{2} + 12 x y^{2} - 3 x^{2} y + 11 - 12 x y^{2} + 20 x^{2} y + 11 x y - 5$
234547	Convert to Polar	3y-y^2=x^2	$3 y - y^{2} = x^{2}$
234548	Divide Using Long Polynomial Division	(x^4+x^3-3x^2-10x+2)/(x^2+3x+3)	$\frac{x^{4} + x^{3} - 3 x^{2} - 10 x + 2}{x^{2} + 3 x + 3}$
234549	Simplify	-18 square root of 5/6	$- 18 \sqrt{\frac{5}{6}}$
234550	Simplify the Radical Expression	(5^4*b^-10)^-6	${(5^{4} \cdot b^{- 10})}^{- 6}$
234551	Find the Quotient	x^5-32 is divided by x-2	$x^{5} - 32$ is divided by $x - 2$
234552	Simplify	(-8(2x+5))/(-4(5+2x))	$\frac{- 8 (2 x + 5)}{- 4 (5 + 2 x)}$
234553	Solve for x	10/3=4/x+2	$\frac{10}{3} = \frac{4}{x} + 2$
234554	Find the Holes in the Graph	f(x)=(3x^2+2x-8)/(4-x^2)	$f (x) = \frac{3 x^{2} + 2 x - 8}{4 - x^{2}}$
234555	Solve for x	2/(3x-4)=1/4	$\frac{2}{3 x - 4} = \frac{1}{4}$
234556	Solve for t	(t+2)^2=7	${(t + 2)}^{2} = 7$
234557	Simplify	((6x^4)/(5y))^-2	${(\frac{6 x^{4}}{5 y})}^{- 2}$
234558	Solve for B	9^2+B^2=13^2	$9^{2} + B^{2} = 13^{2}$
234559	Solve for q	1/2(q+1)=4/3-q	$\frac{1}{2} (q + 1) = \frac{4}{3} - q$
234560	Solve for a	1/4a^2-1/9b^2=0	$\frac{1}{4} a^{2} - \frac{1}{9} b^{2} = 0$
234561	Simplify	1/x-y	$\frac{1}{x} - y$
234562	Describe the Transformation	y=1/2(x+4)^2-8	$y = \frac{1}{2} {(x + 4)}^{2} - 8$
234563	Solve the System of Equations	x+y=12 y=x-4	$x + y = 12$ $y = x - 4$
234564	Evaluate	(21^635^380^3)/(15^414^930^2)	$\frac{21^{6} \cdot 35^{3} \cdot 80^{3}}{15^{4} \cdot 14^{9} \cdot 30^{2}}$
234565	Solve for A	R=(2AS)/(L-2S)	$R = \frac{2 A S}{L - 2 S}$
234566	Graph	g(x+3)=(x+3)^2-3	$g (x + 3) = {(x + 3)}^{2} - 3$
234567	Find the Inverse	f(x) = cube root of 1-x^3	$f (x) = \sqrt[3]{1 - x^{3}}$
234568	Solve for x	5^((x+1)(x-2))=625	$5^{(x + 1) (x - 2)} = 625$
234569	Simplify	-(x^2)/(x^2)	$- \frac{x^{2}}{x^{2}}$
234570	Evaluate	(x^5*x^-3)/(x^-5)	$\frac{x^{5} \cdot x^{- 3}}{x^{- 5}}$
234571	Simplify	((m-4)/(3m^2+24m))÷((m-4)/(m-6))	$\frac{m - 4}{3 m^{2} + 24 m} \div \frac{m - 4}{m - 6}$
234572	Simplify	( cube root of 512)÷( square root of 16)	$\sqrt[3]{512} \div \sqrt{16}$
234573	Simplify	( square root of 40-2 square root of 5)/( square root of 10)	$\frac{\sqrt{40} - 2 \sqrt{5}}{\sqrt{10}}$
234574	Find the Product	x(x+3)	$x (x + 3)$
234575	Simplify	( square root of 27x^9)^4	${(\sqrt{27 x^{9}})}^{4}$
234576	Find the Roots (Zeros)	(x^2+4)(x+5)^2=0	$(x^{2} + 4) {(x + 5)}^{2} = 0$
234577	Simplify the Radical Expression	4 square root of 24-2 square root of 80+11 square root of 6-3 square root of 216	$4 \sqrt{24} - 2 \sqrt{80} + 11 \sqrt{6} - 3 \sqrt{216}$
234578	Convert to Radical Form	((5^3)^9)÷(5^12)	${(5^{3})}^{9} \div 5^{12}$
234579	Simplify	(y/2-1/x)/((6y)/x)	$\frac{\frac{y}{2} - \frac{1}{x}}{\frac{6 y}{x}}$
234580	Solve for b	a=b-14	$a = b - 14$
234581	Factor	x^2+(1/x)^2+2	$x^{2} + {(\frac{1}{x})}^{2} + 2$
234582	Find the Quotient	(5y^4z^5)/(y^4z^3)	$\frac{5 y^{4} z^{5}}{y^{4} z^{3}}$
234583	Solve the Inequality for t	\|3t+1\|>8	$\| 3 t + 1 \| > 8$
234584	Simplify	(5x^4y^4z^0)^0	${(5 x^{4} y^{4} z^{0})}^{0}$
234585	Simplify	(2^2)^-1*2^2	${(2^{2})}^{- 1} \cdot 2^{2}$
234586	Solve for y	y^3+4y-3y^2-12=0	$y^{3} + 4 y - 3 y^{2} - 12 = 0$
234587	Solve for v	v+3/4=1/8	$v + \frac{3}{4} = \frac{1}{8}$
234588	Simplify	square root of 3xy-2 square root of 27x^3y+4 square root of 3xy	$\sqrt{3 x y} - 2 \sqrt{27 x^{3} y} + 4 \sqrt{3 x y}$
234589	Multiply	(3x^2-2x-21)/(2x^2-9x+7)*(2x-7)/(4x-12)	$\frac{3 x^{2} - 2 x - 21}{2 x^{2} - 9 x + 7} \cdot \frac{2 x - 7}{4 x - 12}$
234590	Graph	y=-3x-4 y+4=-3x	$y = - 3 x - 4$ $y + 4 = - 3 x$
234591	Simplify	(5 square root of 4)/(3 square root of 5)	$\frac{5 \sqrt{4}}{3 \sqrt{5}}$
234592	Solve for b	2/7>b+5/7	$\frac{2}{7} > b + \frac{5}{7}$
234593	Factor by Grouping	54x^3+250y^3	$54 x^{3} + 250 y^{3}$
234594	Simplify	3xy^4*2x^-3y^4	$3 x y^{4} \cdot 2 x^{- 3} y^{4}$
234595	Find the Excluded Values	(8x^3-64)/(2x-4)	$\frac{8 x^{3} - 64}{2 x - 4}$
234596	Solve for b	4a^2-b^2=0	$4 a^{2} - b^{2} = 0$
234597	Divide Using Long Polynomial Division	(3x^4-5x^3+x^2+7x)÷(3x+1)	$(3 x^{4} - 5 x^{3} + x^{2} + 7 x) \div (3 x + 1)$
234598	Solve for x	( fourth root of 7x-5)/2 = fourth root of x-2	$\frac{\sqrt[4]{7 x - 5}}{2} = \sqrt[4]{x - 2}$
234599	Simplify	Simplify: (5^2)/(5^23)	Simplify: $\frac{5^{2}}{5^{23}}$
234600	Solve for R	PV=nRT ; solve for R	$P V = n R T$ ; solve for $R$