Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
227501	Evaluate	(2^x)^2	${(2^{x})}^{2}$
227502	Solve the Inequality for x	5(x-1)-2(x-3)>=13	$5 (x - 1) - 2 (x - 3) \geq 13$
227503	Simplify	( square root of 15)/( square root of 3+ square root of 5)	$\frac{\sqrt{15}}{\sqrt{3} + \sqrt{5}}$
227504	Simplify	x^2-(x+3)^2	$x^{2} - {(x + 3)}^{2}$
227505	Solve for x	1/(x+3)=(x+4)/(x-2)+6/(x-2)	$\frac{1}{x + 3} = \frac{x + 4}{x - 2} + \frac{6}{x - 2}$
227506	Simplify	(ab+a^2-b)(a-b^2+2)-2(a^2-b)	$(a b + a^{2} - b) (a - b^{2} + 2) - 2 (a^{2} - b)$
227507	Simplify	-5x^7x^-112x^4	$- 5 x^{7} \cdot x^{- 11} \cdot 2 x^{4}$
227508	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-6,4) and has a slope of -5/6 ?	What is the equation of the line that passes through the point $(- 6, 4)$ and has a slope of $- \frac{5}{6}$ ?
227509	Simplify/Condense	3 log base 5 of x-1/2 log base 5 of 6-x	$3 \log_{5} (x) - \frac{1}{2} \log_{5} (6 - x)$
227510	Solve for y	x-yz+5=8	$x - y z + 5 = 8$
227511	Graph	y=cos(2)(theta-pi/2)	$y = \cos (2) (θ - \frac{π}{2})$
227512	Find f(g(x))	f(x)=2x^2-1 , g(x) = square root of (x+1)/2	$f (x) = 2 x^{2} - 1$ , $g (x) = \sqrt{\frac{x + 1}{2}}$
227513	Determine if Linear	x/4-y/3=1	$\frac{x}{4} - \frac{y}{3} = 1$
227514	Graph	p(x)=-3x+7 if x<=3; x if 3=5	$p (x) = {\begin{cases} - 3 x + 7 & x \leq 3 \\ x & 3 = 5 \end{cases}$
227515	Convert to Interval Notation	-7<(6-5x)/2<-2	$- 7 < \frac{6 - 5 x}{2} < - 2$
227516	Simplify	((x+2)/(x+3))(x+3)	$(\frac{x + 2}{x + 3}) (x + 3)$
227517	Simplify	(4^-1s^3)^-2	${(4^{- 1} s^{3})}^{- 2}$
227518	Evaluate	sin(theta)+cot(theta)cos(theta)	$\sin (θ) + \cot (θ) \cos (θ)$
227519	Find the Roots (Zeros)	y=-2x^4+3	$y = - 2 x^{4} + 3$
227520	Simplify	x^-3x^4x^3	$x^{- 3} x^{4} x^{3}$
227521	Simplify	((10x^3)/9)÷(5/(8x^3))	$\frac{10 x^{3}}{9} \div \frac{5}{8 x^{3}}$
227522	Simplify	5(x^3)^-3(2x)^-4	$5 {(x^{3})}^{- 3} {(2 x)}^{- 4}$
227523	Find the Roots (Zeros)	x^6-2x^5-5x^4+6x^3	$x^{6} - 2 x^{5} - 5 x^{4} + 6 x^{3}$
227524	Simplify	(x+3)/(x+4)-(3x-6)/(x^2+2x-8)	$\frac{x + 3}{x + 4} - \frac{3 x - 6}{x^{2} + 2 x - 8}$
227525	Graph	f(x)=(x^2+5x+4)/(2x^2-2)	$f (x) = \frac{x^{2} + 5 x + 4}{2 x^{2} - 2}$
227526	Divide	(x/(x^2))÷((x^2+6x-27)/(x^2-9))	$\frac{x}{x^{2}} \div \frac{x^{2} + 6 x - 27}{x^{2} - 9}$
227527	Simplify	( square root of 7)÷( square root of 3)- square root of 2	$\sqrt{7} \div \sqrt{3} - \sqrt{2}$
227528	Factor	(16p^3+6p^2)	$(16 p^{3} + 6 p^{2})$
227529	Solve the Rational Equation for n	square root of n+9=1	$\sqrt{n + 9} = 1$
227530	Evaluate	-4a(1/2b+1/4c+1)	$- 4 a (\frac{1}{2} b + \frac{1}{4} c + 1)$
227531	Simplify	( cube root of 7xy^2)/( cube root of 4x^2)	$\frac{\sqrt[3]{7 x y^{2}}}{\sqrt[3]{4 x^{2}}}$
227532	Graph	F(x)=x^5-x^3+x^2	$F (x) = x^{5} - x^{3} + x^{2}$
227533	Solve for x	81=3x^2	$81 = 3 x^{2}$
227534	Solve for x	(x^2-9)(x^2+12x+36)=0	$(x^{2} - 9) (x^{2} + 12 x + 36) = 0$
227535	Solve for x	F(x)=1/x	$F (x) = \frac{1}{x}$
227536	Simplify	(x^2-3x+2)/(x+1)*(x-2)/(x^2-4x+4)	$\frac{x^{2} - 3 x + 2}{x + 1} \cdot \frac{x - 2}{x^{2} - 4 x + 4}$
227537	Simplify	(4^-2)/(2^-4)	$\frac{4^{- 2}}{2^{- 4}}$
227538	Solve for x	17/3(x-3/2)=-5/4	$\frac{17}{3} (x - \frac{3}{2}) = - \frac{5}{4}$
227539	Solve for x	square root of x^2-4x=-4+x	$\sqrt{x^{2} - 4 x} = - 4 + x$
227540	Subtract	(9+52i)-(1)	$(9 + 52 i) - (1)$
227541	Solve for n	log base 1/2 of n=-2	$\log_{\frac{1}{2}} (n) = - 2$
227542	Evaluate Using the Given Value	Evaluate 8a+3b-10+c^2 when a=2 , b=5 ; and c=4	Evaluate $8 a + 3 b - 10 + c^{2}$ when $a = 2$ , $b = 5$ ; and $c = 4$
227543	Evaluate	(x^7x^3)/(y^-3y^-8)	$\frac{x^{7} x^{3}}{y^{- 3} y^{- 8}}$
227544	Simplify the Radical Expression	5 square root of 9-9 square root of 16	$5 \sqrt{9} - 9 \sqrt{16}$
227545	Simplify	(2xy)^5(2xy^5)	${(2 x y)}^{5} (2 x y^{5})$
227546	Find the LCM	LCM of 6 and 9	LCM of $6$ and $9$
227547	Find the Holes in the Graph	(x^2+4x)/(x^2+3x-4)	$\frac{x^{2} + 4 x}{x^{2} + 3 x - 4}$
227548	Find the Degree, Leading Term, and Leading Coefficient	f(x)=x^3(x+3)^2(x-5)	$f (x) = x^{3} {(x + 3)}^{2} (x - 5)$
227549	Convert to Radical Form	(1/( square root of y))^(-1/5)	${(\frac{1}{\sqrt{y}})}^{\frac{- 1}{5}}$
227550	Simplify	(9x^2+2x)-(2x^2+2x)-(4x^2-4)	$(9 x^{2} + 2 x) - (2 x^{2} + 2 x) - (4 x^{2} - 4)$
227551	Solve by Substitution	2x+y=-2 and 5x+3y=-8	$2 x + y = - 2$ and $5 x + 3 y = - 8$
227552	Simplify the Radical Expression	cube root of 3* cube root of -20	$\sqrt[3]{3} \cdot \sqrt[3]{- 20}$
227553	Simplify the Radical Expression	fourth root of 405x^2y^3	$\sqrt[4]{405 x^{2} y^{3}}$
227554	Solve the System of Equations	y=x+16 x^2+y^2=128	$y = x + 16$ $x^{2} + y^{2} = 128$
227555	Solve the System of Inequalities	y>1/3x-5 y>-x+3	$y > \frac{1}{3} x - 5$ $y > - x + 3$
227556	Simplify	2h+3h^2-4g^4+5f^2+11g^4-4h+f^2	$2 h + 3 h^{2} - 4 g^{4} + 5 f^{2} + 11 g^{4} - 4 h + f^{2}$
227557	Simplify	(x^8x^3y^-2)/(x^-1y^-5)	$\frac{x^{8} x^{3} y^{- 2}}{x^{- 1} y^{- 5}}$
227558	Simplify	(14a^4b^3-20a^2b^2+2ab)*(2ab)^-1	$(14 a^{4} b^{3} - 20 a^{2} b^{2} + 2 a b) \cdot {(2 a b)}^{- 1}$
227559	Solve for X	F=1/2XP	$F = \frac{1}{2} X P$
227560	Solve the System of Equations	x+2y=22 and 4x+y=46	$x + 2 y = 22$ and $4 x + y = 46$
227561	Simplify	(4y)/(x-3y)+(2x-2y)/(3y-x)	$\frac{4 y}{x - 3 y} + \frac{(2 x - 2 y)}{3 y - x}$
227562	Simplify	(1/9)÷((3x+10)/(x+2))	$\frac{1}{9} \div \frac{3 x + 10}{x + 2}$
227563	Solve the Rational Equation for x	1/(3x-2)+1=3/(3x+2)	$\frac{1}{3 x - 2} + 1 = \frac{3}{3 x + 2}$
227564	Evaluate	(5+-6i)(2+4i)	$(5 + - 6 i) (2 + 4 i)$
227565	Evaluate	(8)^6-64(8)^4+(8)^2-7*8-51	${(8)}^{6} - 64 {(8)}^{4} + {(8)}^{2} - 7 \cdot 8 - 51$
227566	Solve for v	5v^2+7v-3=-v^2	$5 v^{2} + 7 v - 3 = - v^{2}$
227567	Simplify the Radical Expression	( square root of 5- square root of 6)/( square root of 18)	$\frac{\sqrt{5} - \sqrt{6}}{\sqrt{18}}$
227568	Evaluate Using the Given Value	-50x^2-50x+1 , 0=R	$- 50 x^{2} - 50 x + 1$ , $0 = R$
227569	Evaluate	5/4pi-pi	$\frac{5}{4} π - π$
227570	Simplify the Radical Expression	( square root of 4)/(5 square root of 3)	$\frac{\sqrt{4}}{5 \sqrt{3}}$
227571	Evaluate	2/3(-2)^3+1/3(-2)	$\frac{2}{3} {(- 2)}^{3} + \frac{1}{3} (- 2)$
227572	Evaluate	1/(-(2 square root of 2)/3)	$\frac{1}{- \frac{2 \sqrt{2}}{3}}$
227573	Find All Complex Solutions	4+ square root of x-2=x	$4 + \sqrt{x - 2} = x$
227574	Divide Using Long Polynomial Division	Use the long division method to find the result when 6x^3+25x^2+20x+4 is divided by 3x+2	Use the long division method to find the result when $6 x^{3} + 25 x^{2} + 20 x + 4$ is divided by $3 x + 2$
227575	Solve for p	p/1 6/7=-4.4	$\frac{p}{1 \frac{6}{7}} = - 4.4$
227576	Simplify	x/(x^2-36)+4/x	$\frac{x}{x^{2} - 36} + \frac{4}{x}$
227577	Solve for x	x^2+(x+1)^2+(x+2)^2=1454	$x^{2} + {(x + 1)}^{2} + {(x + 2)}^{2} = 1454$
227578	Divide	(-7/12)÷(14/15)	$- \frac{7}{12} \div \frac{14}{15}$
227579	Solve for x	-2 cube root of 16x-3 cube root of 54x=39	$- 2 \sqrt[3]{16 x} - 3 \sqrt[3]{54 x} = 39$
227580	Solve the Inequality for x	1/6x>=-5/6x+2/3	$\frac{1}{6} x \geq - \frac{5}{6} x + \frac{2}{3}$
227581	Simplify	(3(5-x))/(3x(x-5))	$\frac{3 (5 - x)}{3 x (x - 5)}$
227582	Solve the Inequality for p	-15p<=-90	$- 15 p \leq - 90$
227583	Determine if (3,-1) is a Solution	x-3y>6 , (3,-1)	$x - 3 y > 6$ , $(3, - 1)$
227584	Simplify	( square root of 5)	$(\sqrt{5})$
227585	Find the x and y Intercepts	f(x)=x/2+2	$f (x) = \frac{x}{2} + 2$
227586	Solve for x	natural log of 3x+2=3x	$\ln (3 x + 2) = 3 x$
227587	Find the Domain and Range	f(x) = cube root of -4x	$f (x) = \sqrt[3]{- 4 x}$
227588	Find the Equation Using Point-Slope Formula	(-4,4) y=-7/4x+2	$(- 4, 4)$ $y = - \frac{7}{4} x + 2$
227589	Find the LCD	5/(4x) and 6/(3x+5)	$\frac{5}{4 x}$ and $\frac{6}{3 x + 5}$
227590	Write in Standard Form	(y^8)(-2y^2)	$(y^{8}) (- 2 y^{2})$
227591	Write in Standard Form	x(x+4)(x-3)	$x (x + 4) (x - 3)$
227592	Graph	f(x)=(x^2+x)/(-5x-5)	$f (x) = \frac{x^{2} + x}{- 5 x - 5}$
227593	Simplify	- square root of 2( square root of 10-4 square root of 6)	$- \sqrt{2 (\sqrt{10 - 4 \sqrt{6}})}$
227594	Solve for x	2/3(x-3)-1/7(x+1)=1	$\frac{2}{3} (x - 3) - \frac{1}{7} (x + 1) = 1$
227595	Multiply	4 square root of 7*3 square root of 2	$4 \sqrt{7} \cdot 3 \sqrt{2}$
227596	Simplify	((7b^3c^4n)/(3bc^5n))^-3	${(\frac{7 b^{3} c^{4} n}{3 b c^{5} n})}^{- 3}$
227597	Evaluate	1/(sin(40))	$\frac{1}{\sin (40)}$
227598	Write the Fraction in Simplest Form	(5a^4)/(-2(a^4m^-4)^-1)	$\frac{5 a^{4}}{- 2 {(a^{4} m^{- 4})}^{- 1}}$
227599	Evaluate	5-3^x=-40	$5 - 3^{x} = - 40$
227600	Simplify	5p+7y+2t-3p+4y	$5 p + 7 y + 2 t - 3 p + 4 y$