Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
227501	Simplify	(4^-1s^3)^-2	${(4^{- 1} s^{3})}^{- 2}$
227502	Evaluate	sin(theta)+cot(theta)cos(theta)	$\sin (θ) + \cot (θ) \cos (θ)$
227503	Find the Roots (Zeros)	y=-2x^4+3	$y = - 2 x^{4} + 3$
227504	Simplify	x^-3x^4x^3	$x^{- 3} x^{4} x^{3}$
227505	Simplify	((10x^3)/9)÷(5/(8x^3))	$\frac{10 x^{3}}{9} \div \frac{5}{8 x^{3}}$
227506	Simplify	5(x^3)^-3(2x)^-4	$5 {(x^{3})}^{- 3} {(2 x)}^{- 4}$
227507	Find the Roots (Zeros)	x^6-2x^5-5x^4+6x^3	$x^{6} - 2 x^{5} - 5 x^{4} + 6 x^{3}$
227508	Simplify	(x+3)/(x+4)-(3x-6)/(x^2+2x-8)	$\frac{x + 3}{x + 4} - \frac{3 x - 6}{x^{2} + 2 x - 8}$
227509	Graph	f(x)=(x^2+5x+4)/(2x^2-2)	$f (x) = \frac{x^{2} + 5 x + 4}{2 x^{2} - 2}$
227510	Divide	(x/(x^2))÷((x^2+6x-27)/(x^2-9))	$\frac{x}{x^{2}} \div \frac{x^{2} + 6 x - 27}{x^{2} - 9}$
227511	Simplify	( square root of 7)÷( square root of 3)- square root of 2	$\sqrt{7} \div \sqrt{3} - \sqrt{2}$
227512	Factor	(16p^3+6p^2)	$(16 p^{3} + 6 p^{2})$
227513	Solve the Rational Equation for n	square root of n+9=1	$\sqrt{n + 9} = 1$
227514	Evaluate	-4a(1/2b+1/4c+1)	$- 4 a (\frac{1}{2} b + \frac{1}{4} c + 1)$
227515	Simplify	( cube root of 7xy^2)/( cube root of 4x^2)	$\frac{\sqrt[3]{7 x y^{2}}}{\sqrt[3]{4 x^{2}}}$
227516	Graph	F(x)=x^5-x^3+x^2	$F (x) = x^{5} - x^{3} + x^{2}$
227517	Solve for x	81=3x^2	$81 = 3 x^{2}$
227518	Solve for x	(x^2-9)(x^2+12x+36)=0	$(x^{2} - 9) (x^{2} + 12 x + 36) = 0$
227519	Solve for x	F(x)=1/x	$F (x) = \frac{1}{x}$
227520	Simplify	(x^2-3x+2)/(x+1)*(x-2)/(x^2-4x+4)	$\frac{x^{2} - 3 x + 2}{x + 1} \cdot \frac{x - 2}{x^{2} - 4 x + 4}$
227521	Simplify	(4^-2)/(2^-4)	$\frac{4^{- 2}}{2^{- 4}}$
227522	Solve for x	17/3(x-3/2)=-5/4	$\frac{17}{3} (x - \frac{3}{2}) = - \frac{5}{4}$
227523	Solve for x	square root of x^2-4x=-4+x	$\sqrt{x^{2} - 4 x} = - 4 + x$
227524	Subtract	(9+52i)-(1)	$(9 + 52 i) - (1)$
227525	Solve for n	log base 1/2 of n=-2	$\log_{\frac{1}{2}} (n) = - 2$
227526	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 $c = 4$
227527	Evaluate	(x^7x^3)/(y^-3y^-8)	$\frac{x^{7} x^{3}}{y^{- 3} y^{- 8}}$
227528	Simplify the Radical Expression	5 square root of 9-9 square root of 16	$5 \sqrt{9} - 9 \sqrt{16}$
227529	Simplify	(2xy)^5(2xy^5)	${(2 x y)}^{5} (2 x y^{5})$
227530	Find the LCM	LCM of 6 and 9	LCM of $6$ and $9$
227531	Find the Holes in the Graph	(x^2+4x)/(x^2+3x-4)	$\frac{x^{2} + 4 x}{x^{2} + 3 x - 4}$
227532	Find the Degree, Leading Term, and Leading Coefficient	f(x)=x^3(x+3)^2(x-5)	$f (x) = x^{3} {(x + 3)}^{2} (x - 5)$
227533	Convert to Radical Form	(1/( square root of y))^(-1/5)	${(\frac{1}{\sqrt{y}})}^{\frac{- 1}{5}}$
227534	Simplify	(9x^2+2x)-(2x^2+2x)-(4x^2-4)	$(9 x^{2} + 2 x) - (2 x^{2} + 2 x) - (4 x^{2} - 4)$
227535	Solve by Substitution	2x+y=-2 and 5x+3y=-8	$2 x + y = - 2$ and $5 x + 3 y = - 8$
227536	Simplify the Radical Expression	cube root of 3* cube root of -20	$\sqrt[3]{3} \cdot \sqrt[3]{- 20}$
227537	Simplify the Radical Expression	fourth root of 405x^2y^3	$\sqrt[4]{405 x^{2} y^{3}}$
227538	Solve the System of Equations	y=x+16 x^2+y^2=128	$y = x + 16$ $x^{2} + y^{2} = 128$
227539	Solve the System of Inequalities	y>1/3x-5 y>-x+3	$y > \frac{1}{3} x - 5$ $y > - x + 3$
227540	Simplify	2h+3h^2-4g^4+5f^2+11g^4-4h+f^2	$2 h + 3 h^{2} - 4 g^{4} + 5 f^{2} + 11 g^{4} - 4 h + f^{2}$
227541	Simplify	(x^8x^3y^-2)/(x^-1y^-5)	$\frac{x^{8} x^{3} y^{- 2}}{x^{- 1} y^{- 5}}$
227542	Simplify	(14a^4b^3-20a^2b^2+2ab)*(2ab)^-1	$(14 a^{4} b^{3} - 20 a^{2} b^{2} + 2 a b) \cdot {(2 a b)}^{- 1}$
227543	Solve for X	F=1/2XP	$F = \frac{1}{2} X P$
227544	Solve the System of Equations	x+2y=22 and 4x+y=46	$x + 2 y = 22$ and $4 x + y = 46$
227545	Simplify	(4y)/(x-3y)+(2x-2y)/(3y-x)	$\frac{4 y}{x - 3 y} + \frac{(2 x - 2 y)}{3 y - x}$
227546	Simplify	(1/9)÷((3x+10)/(x+2))	$\frac{1}{9} \div \frac{3 x + 10}{x + 2}$
227547	Solve the Rational Equation for x	1/(3x-2)+1=3/(3x+2)	$\frac{1}{3 x - 2} + 1 = \frac{3}{3 x + 2}$
227548	Evaluate	(5+-6i)(2+4i)	$(5 + - 6 i) (2 + 4 i)$
227549	Evaluate	(8)^6-64(8)^4+(8)^2-7*8-51	${(8)}^{6} - 64 {(8)}^{4} + {(8)}^{2} - 7 \cdot 8 - 51$
227550	Solve for v	5v^2+7v-3=-v^2	$5 v^{2} + 7 v - 3 = - v^{2}$
227551	Simplify the Radical Expression	( square root of 5- square root of 6)/( square root of 18)	$\frac{\sqrt{5} - \sqrt{6}}{\sqrt{18}}$
227552	Evaluate Using the Given Value	-50x^2-50x+1 , 0=R	$- 50 x^{2} - 50 x + 1$ , $0 = R$
227553	Evaluate	5/4pi-pi	$\frac{5}{4} π - π$
227554	Simplify the Radical Expression	( square root of 4)/(5 square root of 3)	$\frac{\sqrt{4}}{5 \sqrt{3}}$
227555	Evaluate	2/3(-2)^3+1/3(-2)	$\frac{2}{3} {(- 2)}^{3} + \frac{1}{3} (- 2)$
227556	Evaluate	1/(-(2 square root of 2)/3)	$\frac{1}{- \frac{2 \sqrt{2}}{3}}$
227557	Find All Complex Solutions	4+ square root of x-2=x	$4 + \sqrt{x - 2} = x$
227558	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 $3 x + 2$
227559	Solve for p	p/1 6/7=-4.4	$\frac{p}{1 \frac{6}{7}} = - 4.4$
227560	Simplify	x/(x^2-36)+4/x	$\frac{x}{x^{2} - 36} + \frac{4}{x}$
227561	Solve for x	x^2+(x+1)^2+(x+2)^2=1454	$x^{2} + {(x + 1)}^{2} + {(x + 2)}^{2} = 1454$
227562	Divide	(-7/12)÷(14/15)	$- \frac{7}{12} \div \frac{14}{15}$
227563	Solve for x	-2 cube root of 16x-3 cube root of 54x=39	$- 2 \sqrt[3]{16 x} - 3 \sqrt[3]{54 x} = 39$
227564	Solve the Inequality for x	1/6x>=-5/6x+2/3	$\frac{1}{6} x \geq - \frac{5}{6} x + \frac{2}{3}$
227565	Simplify	(3(5-x))/(3x(x-5))	$\frac{3 (5 - x)}{3 x (x - 5)}$
227566	Solve the Inequality for p	-15p<=-90	$- 15 p \leq - 90$
227567	Determine if (3,-1) is a Solution	x-3y>6 , (3,-1)	$x - 3 y > 6$ , $(3, - 1)$
227568	Simplify	( square root of 5)	$(\sqrt{5})$
227569	Find the x and y Intercepts	f(x)=x/2+2	$f (x) = \frac{x}{2} + 2$
227570	Solve for x	natural log of 3x+2=3x	$\ln (3 x + 2) = 3 x$
227571	Find the Domain and Range	f(x) = cube root of -4x	$f (x) = \sqrt[3]{- 4 x}$
227572	Find the Equation Using Point-Slope Formula	(-4,4) y=-7/4x+2	$(- 4, 4)$ $y = - \frac{7}{4} x + 2$
227573	Find the LCD	5/(4x) and 6/(3x+5)	$\frac{5}{4 x}$ and $\frac{6}{3 x + 5}$
227574	Write in Standard Form	(y^8)(-2y^2)	$(y^{8}) (- 2 y^{2})$
227575	Write in Standard Form	x(x+4)(x-3)	$x (x + 4) (x - 3)$
227576	Graph	f(x)=(x^2+x)/(-5x-5)	$f (x) = \frac{x^{2} + x}{- 5 x - 5}$
227577	Simplify	- square root of 2( square root of 10-4 square root of 6)	$- \sqrt{2 (\sqrt{10 - 4 \sqrt{6}})}$
227578	Solve for x	2/3(x-3)-1/7(x+1)=1	$\frac{2}{3} (x - 3) - \frac{1}{7} (x + 1) = 1$
227579	Multiply	4 square root of 7*3 square root of 2	$4 \sqrt{7} \cdot 3 \sqrt{2}$
227580	Simplify	((7b^3c^4n)/(3bc^5n))^-3	${(\frac{7 b^{3} c^{4} n}{3 b c^{5} n})}^{- 3}$
227581	Evaluate	1/(sin(40))	$\frac{1}{\sin (40)}$
227582	Write the Fraction in Simplest Form	(5a^4)/(-2(a^4m^-4)^-1)	$\frac{5 a^{4}}{- 2 {(a^{4} m^{- 4})}^{- 1}}$
227583	Evaluate	5-3^x=-40	$5 - 3^{x} = - 40$
227584	Simplify	5p+7y+2t-3p+4y	$5 p + 7 y + 2 t - 3 p + 4 y$
227585	Evaluate	log base xy of 1/x+ log base xy of 1/y	$\log_{x y} (\frac{1}{x}) + \log_{x y} (\frac{1}{y})$
227586	Solve for a	4x=(a+b)/(8c)	$4 x = \frac{a + b}{8 c}$
227587	Find the Holes in the Graph	f(x)=(x^3-7x^2-x+7)/(x-7)	$f (x) = \frac{x^{3} - 7 x^{2} - x + 7}{x - 7}$
227588	Solve the System of Inequalities	r/5>-3 OR 4r<-100	$\frac{r}{5} > - 3$ OR $4 r < - 100$
227589	Solve for x	(x^2+3x+3)^(4/3)=1	${(x^{2} + 3 x + 3)}^{\frac{4}{3}} = 1$
227590	Graph	f(x)=(x-3)/(3x-9)	$f (x) = \frac{x - 3}{3 x - 9}$
227591	Solve the Inequality for b	18<-3b	$18 < - 3 b$
227592	Simplify	7^0+8(3)^0	$7^{0} + 8 {(3)}^{0}$
227593	Evaluate	(-4)(-4)(-4)yy	$(- 4) \cdot (- 4) \cdot (- 4) \cdot y \cdot y$
227594	Evaluate	(pi*4^2)/2	$\frac{π \cdot 4^{2}}{2}$
227595	Solve for m	\|(m-12)/4\|<19	$\| \frac{m - 12}{4} \| < 19$
227596	Find All Complex Solutions	a/6-10=a/3	$\frac{a}{6} - 10 = \frac{a}{3}$
227597	Simplify	(a+b)(a^3-a^2b+ab^2-b^3)	$(a + b) (a^{3} - a^{2} b + a b^{2} - b^{3})$
227598	Solve for r	2+r=7+6r	$2 + r = 7 + 6 r$
227599	Simplify the Radical Expression	-5 cube root of 14p*-4 cube root of 4p^3	$- 5 \sqrt[3]{14 p} \cdot - 4 \sqrt[3]{4 p^{3}}$
227600	Simplify	6/(10p)*2/6	$\frac{6}{10 p} \cdot \frac{2}{6}$