Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
213501	Solve the Inequality for y	0.5<=y/8	$0.5 \leq \frac{y}{8}$
213502	Solve for x	3x-(2x-(x-(5x+6)))=x-2	$3 x - (2 x - (x - (5 x + 6))) = x - 2$
213503	Divide Using Synthetic Division	(x^4-4x^3+x+10)/(x-2)	$\frac{x^{4} - 4 x^{3} + x + 10}{x - 2}$
213504	Graph	f(x)=3+5x^2-x^4	$f (x) = 3 + 5 x^{2} - x^{4}$
213505	Evaluate	log base 3 of 2x^2 = log base 3 of 2+2 log base 3 of x	$\log_{3} (2 x^{2}) = \log_{3} (2) + 2 \log_{3} (x)$
213506	Find the End Behavior	f(x)=-5x^6-4x^5+19x^4+x^3-11x^2+15x-1	$f (x) = - 5 x^{6} - 4 x^{5} + 19 x^{4} + x^{3} - 11 x^{2} + 15 x - 1$
213507	Simplify	(4*9)^(1/2)	${(4 \cdot 9)}^{\frac{1}{2}}$
213508	Find the Product	10m^4n(-2mn^3+3n)	$10 m^{4} n (- 2 m n^{3} + 3 n)$
213509	Simplify	3 square root of 2(4 square root of 10-5 square root of 5+8 square root of 2)	$3 \sqrt{2} (4 \sqrt{10} - 5 \sqrt{5} + 8 \sqrt{2})$
213510	Simplify	( fourth root of 32)^2	${(\sqrt[4]{32})}^{2}$
213511	Solve for x	n÷(( square root of 2)/2-( square root of 2i)/2)=nx	$n \div (\frac{\sqrt{2}}{2} - \frac{\sqrt{2} i}{2}) = n x$
213512	Simplify	3(x^2+5)(x^2-5)	$3 (x^{2} + 5) (x^{2} - 5)$
213513	Find the Holes in the Graph	f(x)=(x^2+5x+4)/(x^2-1)	$f (x) = \frac{x^{2} + 5 x + 4}{x^{2} - 1}$
213514	Graph	x>-3y+4	$x > - 3 y + 4$
213515	Solve for y	22=-2y+4(5-3x)	$22 = - 2 y + 4 (5 - 3 x)$
213516	Simplify	1/( square root of 2+ square root of 3+ square root of 5)	$\frac{1}{\sqrt{2} + \sqrt{3} + \sqrt{5}}$
213517	Evaluate	x^2+1=0	$x^{2} + 1 = 0$
213518	Evaluate	(2x^-2y^-2)/(16x^-12y^2)	$\frac{2 x^{- 2} y^{- 2}}{16 x^{- 12} y^{2}}$
213519	Write in Standard Form	(2x^2-x-2)(x^2-6x+4)	$(2 x^{2} - x - 2) (x^{2} - 6 x + 4)$
213520	Determine if a Polynomial	4c^-2+c^2	$4 c^{- 2} + c^{2}$
213521	Simplify	(6x^2+4x-10)/(3x^2+2x-5)	$\frac{6 x^{2} + 4 x - 10}{3 x^{2} + 2 x - 5}$
213522	Find the Equation Using Two Points	(-4,-2) and (4,0)	$(- 4, - 2)$ and $(4, 0)$
213523	Simplify	(1/3)÷(3/7)-3/5*1/2	$\frac{1}{3} \div \frac{3}{7} - \frac{3}{5} \cdot \frac{1}{2}$
213524	Simplify	(x^2)^5(36x^14)^(1/2)	${(x^{2})}^{5} {(36 x^{14})}^{\frac{1}{2}}$
213525	Divide Using Synthetic Division	Use synthetic division to find the result when x^3+4x^2+14x+20 is divided by x+2	Use synthetic division to find the result when $x^{3} + 4 x^{2} + 14 x + 20$ is divided by $x + 2$
213526	Simplify	(-9n+9+6n^4)-(-6n-7n^4)	$(- 9 n + 9 + 6 n^{4}) - (- 6 n - 7 n^{4})$
213527	Solve for x	2/3=x/4+x/3	$\frac{2}{3} = \frac{x}{4} + \frac{x}{3}$
213528	Simplify	(14 root of 4)/( seventh root of 4)	$\frac{\sqrt[14]{4}}{\sqrt[7]{4}}$
213529	Solve for x	cube root of x^2-x- cube root of x+99=0	$\sqrt[3]{x^{2} - x} - \sqrt[3]{x + 99} = 0$
213530	Simplify	1/(n^-8*n^3)	$\frac{1}{n^{- 8} \cdot n^{3}}$
213531	Evaluate	(xy^2)^3	${(x y^{2})}^{3}$
213532	Evaluate	-cos((3pi)/4)	$- \cos (\frac{3 π}{4})$
213533	Solve for x	850=(54.5)(4.42)+1/2(x)(4.22)^2	$850 = (54.5) (4.42) + \frac{1}{2} (x) {(4.22)}^{2}$
213534	Find the Product	(2a-3b)(4a+5.5b+2.8)	$(2 a - 3 b) (4 a + 5.5 b + 2.8)$
213535	Solve for j	5/6+3j=-2/3	$\frac{5}{6} + 3 j = - \frac{2}{3}$
213536	Solve the Rational Equation for x	(4x)/(x+5)=x/(x+4)	$\frac{4 x}{x + 5} = \frac{x}{x + 4}$
213537	Multiply	3*2/10	$3 \cdot \frac{2}{10}$
213538	Simplify	square root of 5x^2* square root of 20x	$\sqrt{5 x^{2}} \cdot \sqrt{20 x}$
213539	Find the Third Term	3n^2-1	$3 n^{2} - 1$
213540	Solve for x	1/2+4/(x-4)=-2/(x-4)	$\frac{1}{2} + \frac{4}{x - 4} = - \frac{2}{x - 4}$
213541	Find the Roots (Zeros)	x^4-5x^3+2x^2+2x=0	$x^{4} - 5 x^{3} + 2 x^{2} + 2 x = 0$
213542	Solve for a	a-b=b-a	$a - b = b - a$
213543	Solve for m	k=2mn+2ml	$k = 2 m n + 2 ml$
213544	Graph	y>2 square root of x+7-5	$y > 2 \sqrt{x + 7} - 5$
213545	Evaluate	1/2*4^1	$\frac{1}{2} \cdot 4^{1}$
213546	Solve for t	t-2/3=25 3/4	$t - \frac{2}{3} = 25 \frac{3}{4}$
213547	Solve the Inequality for x	\|x\|+7>16	$\| x \| + 7 > 16$
213548	Simplify	1/2(3+4t-10)	$\frac{1}{2} (3 + 4 t - 10)$
213549	Simplify	(m^(-3/4)n^(-3/4))/((m^2n)^(1/2))	$\frac{m^{- \frac{3}{4}} n^{- \frac{3}{4}}}{{(m^{2} n)}^{\frac{1}{2}}}$
213550	Simplify	((3x^-1)^-2)/((3x^2)^-2)	$\frac{{(3 x^{- 1})}^{- 2}}{{(3 x^{2})}^{- 2}}$
213551	Describe the Transformation	f(x) = square root of x g(x)=- square root of x-2	$f (x) = \sqrt{x}$ $g (x) = - \sqrt{x - 2}$
213552	Solve for m	square root of 36/9=1/3m^2-10	$\sqrt{\frac{36}{9}} = \frac{1}{3} m^{2} - 10$
213553	Solve for x	x/(x+2)+(x+7)/(x-3)=(3x+1)/(x-3)	$\frac{x}{x + 2} + \frac{x + 7}{x - 3} = \frac{3 x + 1}{x - 3}$
213554	Find the Degree	m+m^3-8m^4	$m + m^{3} - 8 m^{4}$
213555	Solve for q	1/4* natural log of 16q^8- natural log of 3 = natural log of 24	$\frac{1}{4} \cdot \ln (16 q^{8}) - \ln (3) = \ln (24)$
213556	Simplify	(5-i^7)-(9+i^10)	$(5 - i^{7}) - (9 + i^{10})$
213557	Simplify the Radical Expression	i^25	$i^{25}$
213558	Simplify	(3/(2^2))^-3	${(\frac{3}{2^{2}})}^{- 3}$
213559	Evaluate	((8^4)/(10^4))^(-1/4)	${(\frac{8^{4}}{10^{4}})}^{- \frac{1}{4}}$
213560	Simplify	2/(3x)+1/x+7/(5x)	$\frac{2}{3 x} + \frac{1}{x} + \frac{7}{5 x}$
213561	Solve for r	r+2/3=5/6	$r + \frac{2}{3} = \frac{5}{6}$
213562	Graph	x/(x^2)	$\frac{x}{x^{2}}$
213563	Simplify	4/(x+2)-(3x+18)/(x^2+7x+10)	$\frac{4}{x + 2} - \frac{3 x + 18}{x^{2} + 7 x + 10}$
213564	Evaluate the Function	F(-2)=5^-2	$F (- 2) = 5^{- 2}$
213565	Convert to Radical Form	(3^5)/3	$\frac{3^{5}}{3}$
213566	Solve the Inequality for t	((3-4t)-12)/2<2t+3/2	$\frac{(3 - 4 t) - 12}{2} < 2 t + \frac{3}{2}$
213567	Graph	y<-1/2x+3 y>1/2x+1 y<3x+10	$y < - \frac{1}{2} x + 3$ $y > \frac{1}{2} x + 1$ $y < 3 x + 10$
213568	Rationalize the Denominator	9/(2 square root of 45)	$\frac{9}{2 \sqrt{45}}$
213569	Simplify the Radical Expression	(x^2)/( cube root of x)	$\frac{x^{2}}{\sqrt[3]{x}}$
213570	Simplify	2z^2(m^3-4m^8)-8m^5+m^10	$2 z^{2} (m^{3} - 4 m^{8}) - 8 m^{5} + m^{10}$
213571	Simplify	1/3 square root of -25	$\frac{1}{3} \sqrt{- 25}$
213572	Divide	((x^2-2x)/6)÷((3x-6)/x)	$\frac{x^{2} - 2 x}{6} \div \frac{3 x - 6}{x}$
213573	Write the Fraction in Simplest Form	(4z^-4t^10)/((3z^3t^-4)^2)	$\frac{4 z^{- 4} t^{10}}{{(3 z^{3} t^{- 4})}^{2}}$
213574	Solve the Rational Equation for x	(x+3)/(3x-2)-(x-3)/(3x+2)=-22/(9x^2-4)	$\frac{x + 3}{3 x - 2} - \frac{x - 3}{3 x + 2} = \frac{- 22}{9 x^{2} - 4}$
213575	Solve Using the Quadratic Formula	-15x^4+18x^2-4	$- 15 x^{4} + 18 x^{2} - 4$
213576	Solve for y	12y=2*2	$12 y = 2 \cdot 2$
213577	Simplify	(x+y)/(2xy-y^2)-(x-y)/(2x^2-xy)	$\frac{(x + y)}{2 x y - y^{2}} - \frac{(x - y)}{2 x^{2} - x y}$
213578	Solve for x	6x-(2x-1)=9x+2(2-x)	$6 x - (2 x - 1) = 9 x + 2 (2 - x)$
213579	Simplify	(-a^3b^5)^2(a^4b)^2	${(- a^{3} b^{5})}^{2} {(a^{4} b)}^{2}$
213580	Simplify	(3x-9)/(-12x+36)	$\frac{3 x - 9}{- 12 x + 36}$
213581	Simplify	square root of cube root of 5y^6	$\sqrt{\sqrt[3]{5 y^{6}}}$
213582	Solve the Inequality for x	1/2>(x/8)^(1/3)	$\frac{1}{2} > {(\frac{x}{8})}^{\frac{1}{3}}$
213583	Simplify	(2^0a^4b^2)^-2	${(2^{0} a^{4} b^{2})}^{- 2}$
213584	Graph	y=1/2sin(x+2/3pi)	$y = \frac{1}{2} \sin (x + \frac{2}{3} π)$
213585	Evaluate	(20-0)/(2006-1994)	$\frac{20 - 0}{2006 - 1994}$
213586	Simplify	(4x^2+2x-4)-(-5-4x+4x^2+x^3)	$(4 x^{2} + 2 x - 4) - (- 5 - 4 x + 4 x^{2} + x^{3})$
213587	Simplify	2^3+(6^2)÷9	$2^{3} + 6^{2} \div 9$
213588	Simplify	3^(-1/2)*3x^(9/2)(3x)^(-7/2)	$3^{- \frac{1}{2}} \cdot 3 x^{\frac{9}{2}} {(3 x)}^{- \frac{7}{2}}$
213589	Solve for c	x^2+18x+c=25+c	$x^{2} + 18 x + c = 25 + c$
213590	Simplify	(x+1)/(3x+6)*(6x+12)/(x^2-1)	$\frac{x + 1}{3 x + 6} \cdot \frac{6 x + 12}{x^{2} - 1}$
213591	Simplify	cube root of 10yz^5* cube root of 4y^3	$\sqrt[3]{10 y z^{5}} \cdot \sqrt[3]{4 y^{3}}$
213592	Write in Slope-Intercept Form	y-5=2x	$y - 5 = 2 x$
213593	Find the Exact Value	3^-6*((3^4)÷(3^0))^2	$3^{- 6} \cdot {(3^{4} \div 3^{0})}^{2}$
213594	Divide	( square root of 27)/( square root of 48)	$\frac{\sqrt{27}}{\sqrt{48}}$
213595	Solve by Addition/Elimination	-4x-2y=-12 and 4x+8y=-24	$- 4 x - 2 y = - 12$ and $4 x + 8 y = - 24$
213596	Solve for x	(3x)/(x+1)+6/(2x)=7/x	$\frac{3 x}{x + 1} + \frac{6}{2 x} = \frac{7}{x}$
213597	Simplify	(2/(8m^3-64m^2))÷(1/(8m^2))	$\frac{2}{8 m^{3} - 64 m^{2}} \div \frac{1}{8 m^{2}}$
213598	Solve for m	-5/9m=1 11/12	$- \frac{5}{9} m = 1 \frac{11}{12}$
213599	Simplify	8/(-3- square root of 14)	$\frac{8}{- 3 - \sqrt{14}}$
213600	Write the Fraction in Simplest Form	(2(j^2)^4)/(-2j^5)	$\frac{2 {(j^{2})}^{4}}{- 2 j^{5}}$