Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
216601	Solve for x	x/9=(24-x)/18	$\frac{x}{9} = \frac{24 - x}{18}$
216602	Simplify	(14x^2+8)+(4x-2)-(12x^2-1)	$(14 x^{2} + 8) + (4 x - 2) - (12 x^{2} - 1)$
216603	Simplify	(-7mn+8mn^2-8m^2n^2)+(10m^2n+2m^2n^2-3mn)	$(- 7 m n + 8 m n^{2} - 8 m^{2} n^{2}) + (10 m^{2} n + 2 m^{2} n^{2} - 3 m n)$
216604	Simplify	cube root of -40a^7+2a^2* cube root of 135a^4	$\sqrt[3]{- 40 a^{7}} + 2 a^{2} \cdot \sqrt[3]{135 a^{4}}$
216605	Evaluate	(tan(pi/4))/2-1/(sec(pi/3))	$\frac{\tan (\frac{π}{4})}{2} - \frac{1}{\sec (\frac{π}{3})}$
216606	Graph	2x-3y<12 y<=-x+6	$2 x - 3 y < 12$ $y \leq - x + 6$
216607	Solve for x	5/4x-2=-1/4x+19	$\frac{5}{4} x - 2 = - \frac{1}{4} x + 19$
216608	Solve the Rational Equation for x	(5-x)^(1/2)-2x=0	${(5 - x)}^{\frac{1}{2}} - 2 x = 0$
216609	Simplify	(x^2-7x+6)+(x^2+6x)	$(x^{2} - 7 x + 6) + (x^{2} + 6 x)$
216610	Find the x and y Intercepts	f(x)=-3(x^2-7)(x-1)(x-4)^2(x-1)(x^2+1)	$f (x) = - 3 (x^{2} - 7) (x - 1) {(x - 4)}^{2} (x - 1) (x^{2} + 1)$
216611	Identify the Zeros and Their Multiplicities	f(x)=4x^3-4x^2+x	$f (x) = 4 x^{3} - 4 x^{2} + x$
216612	Solve the System of Equations	x^2+4y^2=100 4y-x^2=-20	$x^{2} + 4 y^{2} = 100$ $4 y - x^{2} = - 20$
216613	Find the Distance Between Two Points	(-3,5) and (-3,2)	$(- 3, 5)$ and $(- 3, 2)$
216614	Factor	10x^4+55x^3y+6xy+33y^2	$10 x^{4} + 55 x^{3} y + 6 x y + 33 y^{2}$
216615	Simplify	fourth root of 16x^8y^4	$\sqrt[4]{16 x^{8}} y^{4}$
216616	Simplify	(4 square root of 3-2 square root of 2)/(3 square root of 12)	$\frac{4 \sqrt{3} - 2 \sqrt{2}}{3 \sqrt{12}}$
216617	Solve the Inequality for x	-3x^2+84<=-9x	$- 3 x^{2} + 84 \leq - 9 x$
216618	Convert to a Decimal	sin(135)deg	$\sin (135)$ degrees
216619	Write in Standard Form	(7x^2-2)-(2x^2-5x+3)	$(7 x^{2} - 2) - (2 x^{2} - 5 x + 3)$
216620	Find the Inverse	A(b)=10*(b+7)/2	$A (b) = 10 \cdot \frac{b + 7}{2}$
216621	Solve the Inequality for x	-7-(3x+2)<-8(x+1)	$- 7 - (3 x + 2) < - 8 (x + 1)$
216622	Graph	y-x+2y<=1	$y - x + 2 y \leq 1$
216623	Find f(g(x))	f(x)=x^2+2x-5 g(x)=x+1	$f (x) = x^{2} + 2 x - 5$ $g (x) = x + 1$
216624	Graph	p(x):\|1+2x\|=7 q(x):\|x-3\|=1-x	$p (x) : \| 1 + 2 x \| = 7$ $q (x) : \| x - 3 \| = 1 - x$
216625	Solve for x	square root of 7x+2- square root of 3x+6=6	$\sqrt{7 x + 2} - \sqrt{3 x + 6} = 6$
216626	Solve for x	15x^2=-x^2-1	$15 x^{2} = - x^{2} - 1$
216627	Find the Roots (Zeros)	4x^5-100x^(13/3)=0	$4 x^{5} - 100 x^{\frac{13}{3}} = 0$
216628	Simplify the Radical Expression	cube root of (32x^12y^3)/(4x^3)	$\sqrt[3]{\frac{32 x^{12} y^{3}}{4 x^{3}}}$
216629	Multiply	4x(x-1)^2	$4 x {(x - 1)}^{2}$
216630	Simplify	(3x^-1)/-1	$\frac{3 x^{- 1}}{- 1}$
216631	Determine if a Polynomial	(m^5)/n	$\frac{m^{5}}{n}$
216632	Evaluate	((7-2)^2)/(5^1)-3*-3	$\frac{{(7 - 2)}^{2}}{5^{1}} - 3 \cdot - 3$
216633	Simplify	-x^2(-2xy^2)^3	$- x^{2} {(- 2 x y^{2})}^{3}$
216634	Evaluate	1/2(-7)+3	$\frac{1}{2} (- 7) + 3$
216635	Graph	y< = square root of 4x+8	$y \leq \sqrt{4 x + 8}$
216636	Solve for k	square root of 2-k = square root of -2-3k	$\sqrt{2 - k} = \sqrt{- 2 - 3 k}$
216637	Simplify	(2+ square root of 3x)/( square root of 2x)	$\frac{2 + \sqrt{3 x}}{\sqrt{2 x}}$
216638	Find the Inverse	y=3((x-9)/2)+20	$y = 3 (\frac{x - 9}{2}) + 20$
216639	Simplify	9(3^-2)-(3^4)/(3^2)-( square root of 2^6)÷2	$9 (3^{- 2}) - \frac{3^{4}}{3^{2}} - \sqrt{2^{6}} \div 2$
216640	Simplify	(4z)^-3*(2z)^5	${(4 z)}^{- 3} \times {(2 z)}^{5}$
216641	Write in Standard Form	y=x/3+5	$y = \frac{x}{3} + 5$
216642	Solve for x	32+x^2=12x	$32 + x^{2} = 12 x$
216643	Simplify	fifth root of square root of y^5	$\sqrt[5]{\sqrt{y^{5}}}$
216644	Multiply	square root of 2x^3* square root of 18x^5	$\sqrt{2 x^{3}} \cdot \sqrt{18 x^{5}}$
216645	Simplify	(x-2)/(x-3)*(x+x/(2-x))	$\frac{x - 2}{x - 3} \cdot (x + \frac{x}{2 - x})$
216646	Solve for x	-2=5+3x-10	$- 2 = 5 + 3 x - 10$
216647	Write in Standard Form	(3x^2+x-5)(2x^2+x+3)	$(3 x^{2} + x - 5) (2 x^{2} + x + 3)$
216648	Simplify	1/3x+1/4-2/3x	$\frac{1}{3} x + \frac{1}{4} - \frac{2}{3} x$
216649	Simplify	(7x^3+3x^2+4x+10)-(10+8x+3x^3)	$(7 x^{3} + 3 x^{2} + 4 x + 10) - (10 + 8 x + 3 x^{3})$
216650	Solve for p	1/(p-2)-5/(p^2+4p-12)=6/(p-2)	$\frac{1}{p - 2} - \frac{5}{p^{2} + 4 p - 12} = \frac{6}{p - 2}$
216651	Evaluate	(5b^-2)/(b^-3)	$\frac{5 b^{- 2}}{b^{- 3}}$
216652	Solve the Inequality for x	e^x>7	$e^{x} > 7$
216653	Find All Complex Solutions	2^(2x)-12*2^x+2^5=0	$2^{2 x} - 12 \cdot 2^{x} + 2^{5} = 0$
216654	Solve for c	5-8x=cx+5	$5 - 8 x = c x + 5$
216655	Find the Product	5jk(3jk+2k)	$5 j k (3 j k + 2 k)$
216656	Simplify	(ab^2)/3(6a^3b^3+15a^2b^5-3ab^2-12)	$\frac{a b^{2}}{3} (6 a^{3} b^{3} + 15 a^{2} b^{5} - 3 a b^{2} - 12)$
216657	Solve the System of Inequalities	r/6<-6 OR 4r+2>18	$\frac{r}{6} < - 6$ OR $4 r + 2 > 18$
216658	Solve for x	1/4 cube root of 2x+8=6	$\frac{1}{4} \sqrt[3]{2 x} + 8 = 6$
216659	Solve for x	(3^2)^4=9^(x+2)	${(3^{2})}^{4} = 9^{x + 2}$
216660	Solve for t	5(2t+s)=2(3s)	$5 (2 t + s) = 2 (3 s)$
216661	Solve for a	(9x-4)(9x+4)=ax^2-b	$(9 x - 4) (9 x + 4) = a x^{2} - b$
216662	Simplify the Radical Expression	(-2 square root of -10)( square root of -3)	$(- 2 \sqrt{- 10}) (\sqrt{- 3})$
216663	Simplify	((3x)/(4x^2))^2	${(\frac{3 x}{4 x^{2}})}^{2}$
216664	Solve for h	v = square root of 2gr* square root of h/(r+h)	$v = \sqrt{2 g r} \cdot \sqrt{\frac{h}{r + h}}$
216665	Solve for x	x^2-3/4x-7/64=0	$x^{2} - \frac{3}{4} x - \frac{7}{64} = 0$
216666	Simplify	a^2-(a^4+1)/(a^2-1)+1	$a^{2} - \frac{a^{4} + 1}{a^{2} - 1} + 1$
216667	Divide Using Synthetic Division	Use synthetic division to find the result when 4x^3+3x^2-8x-7 is divided by x+1	Use synthetic division to find the result when $4 x^{3} + 3 x^{2} - 8 x - 7$ is divided by $x + 1$
216668	Evaluate	natural log of e+ natural log of cube root of e	$\ln (e) + \ln (\sqrt[3]{e})$
216669	Solve for x	x^(x^6)=( square root of 2)^( square root of 2)	$x^{x^{6}} = {(\sqrt{2})}^{\sqrt{2}}$
216670	Solve for t	-18t=18t-5(5t-11)	$- 18 t = 18 t - 5 (5 t - 11)$
216671	Find the Degree	3x^4y^2-9x^3y	$3 x^{4} y^{2} - 9 x^{3} y$
216672	Graph	f(x)=3/2(x-2)	$f (x) = \frac{3}{2} (x - 2)$
216673	Solve for x	-2/3(18x+42)=-5x-18	$- \frac{2}{3} (18 x + 42) = - 5 x - 18$
216674	Solve for x	5x-5=x	$5 x - 5 = x$
216675	Divide Using Synthetic Division	(2x^4-4x^3+7x)/(x+1)	$\frac{2 x^{4} - 4 x^{3} + 7 x}{x + 1}$
216676	Solve the System of Equations	y=-3x^2-16x-2 2=2x-y	$y = - 3 x^{2} - 16 x - 2$ $2 = 2 x - y$
216677	Solve for y	-2(3y-4)+10=0	$- 2 (3 y - 4) + 10 = 0$
216678	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-5,-2) and has a slope of -6/5 ?	What is the equation of the line that passes through the point $(- 5, - 2)$ and has a slope of $- \frac{6}{5}$ ?
216679	Solve the Inequality for b	b-2>=-1	$b - 2 \geq - 1$
216680	Evaluate	cot(theta)=-1	$\cot (θ) = - 1$
216681	Simplify	5^05^-15^-2	$5^{0} \cdot 5^{- 1} \cdot 5^{- 2}$
216682	Convert to a Simplified Fraction	50lb to 35lb	$50 pounds$ to $35 pounds$
216683	Solve the Rational Equation for x	square root of x+6=x	$\sqrt{x} + 6 = x$
216684	Solve for x	12x^5-384x^(10/3)=0	$12 x^{5} - 384 x^{\frac{10}{3}} = 0$
216685	Solve for y	-5y+4(4y-3)=5y	$- 5 y + 4 (4 y - 3) = 5 y$
216686	Simplify	j^4-16+(j^2-4)^2	$j^{4} - 16 + {(j^{2} - 4)}^{2}$
216687	Factor	x^2+3x^2-4x-12	$x^{2} + 3 x^{2} - 4 x - 12$
216688	Solve for k	7.3*10^-11=(k^2)/0.35	$7.3 \times 10^{- 11} = \frac{k^{2}}{0.35}$
216689	Convert to a Decimal	126deg	$126$ degrees
216690	Simplify	(( square root of 3)/2+( square root of 3)/3i)^2	${(\frac{\sqrt{3}}{2} + \frac{\sqrt{3}}{3} i)}^{2}$
216691	Solve for x	(x-3)/(4x^2)+3/(x^2)=1/(2x^2)	$\frac{x - 3}{4 x^{2}} + \frac{3}{x^{2}} = \frac{1}{2 x^{2}}$
216692	Simplify	4x+(x^2*x^4)-(y^2)^3+(3xy)^2	$4 x + (x^{2} \cdot x^{4}) - {(y^{2})}^{3} + {(3 x y)}^{2}$
216693	Simplify	( square root of 20)/( cube root of 8)	$\frac{\sqrt{20}}{\sqrt[3]{8}}$
216694	Graph	-1/8x^2+x-4	$- \frac{1}{8} x^{2} + x - 4$
216695	Solve for x	square root of 5x+11-1=x	$\sqrt{5 x + 11 - 1} = x$
216696	Simplify	-2/5(15-20d+5c)	$- \frac{2}{5} (15 - 20 d + 5 c)$
216697	Simplify	(sin(x)(tan(x)+cot(x)))/(cos(x))	$\frac{\sin (x) (\tan (x) + \cot (x))}{\cos (x)}$
216698	Solve for k	k^5+4k^4-32k^3=0	$k^{5} + 4 k^{4} - 32 k^{3} = 0$
216699	Simplify the Radical Expression	cube root of (4x)/(5x^2)	$\sqrt[3]{\frac{4 x}{5 x^{2}}}$
216700	Simplify	1/(cos(x))(1-sin(x)^2)	$\frac{1}{\cos (x)} (1 - \sin^{2} (x))$