Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
219601	Graph	e^(-\|x\|)	$e^{- \| x \|}$
219602	Divide Using Synthetic Division	Use synthetic division to find the result when 4x^4-9x^3-30x^2+13x-20 is divided by x-4	Use synthetic division to find the result when $4 x^{4} - 9 x^{3} - 30 x^{2} + 13 x - 20$ is divided by $x - 4$
219603	Simplify	(6-8x)/(4x^2-3x)	$\frac{6 - 8 x}{4 x^{2} - 3 x}$
219604	Solve the System of Inequalities	5x+2y>19 x+y>=5	$5 x + 2 y > 19$ $x + y \geq 5$
219605	Determine the Possible Number of Real Roots	cube root of -27	$\sqrt[3]{- 27}$
219606	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-6,2) and has a slope of -3/2 ?	What is the equation of the line that passes through the point $(- 6, 2)$ and has a slope of $- \frac{3}{2}$ ?
219607	Factor	(9x+10)^2-4x(9x+10)	${(9 x + 10)}^{2} - 4 x (9 x + 10)$
219608	Find the LCD	(7x)/(x+2) and 5/(2x)	$\frac{7 x}{x + 2}$ and $\frac{5}{2 x}$
219609	Graph	y=-2 natural log of x-1+1	$y = - 2 \ln (x - 1) + 1$
219610	Factor	(m+n)^4(m-n)-(m-n)^4(m+n)	${(m + n)}^{4} (m - n) - {(m - n)}^{4} (m + n)$
219611	Divide Using Long Polynomial Division	(x^5-4x^3+4x^2)÷(x-4)	$(x^{5} - 4 x^{3} + 4 x^{2}) \div (x - 4)$
219612	Find the LCD	(3x^2+4x+1)/(x^2-4)-(x^2+8x+12)/(x+1)	$\frac{3 x^{2} + 4 x + 1}{x^{2} - 4} - \frac{x^{2} + 8 x + 12}{x + 1}$
219613	Simplify	Find 4(-3x+1)+(6x+3)	Find $4 (- 3 x + 1) + (6 x + 3)$
219614	Evaluate	1*2/( square root of 2)	$1 \cdot \frac{2}{\sqrt{2}}$
219615	Graph	16>=-x+6>5	$16 \geq - x + 6 > 5$
219616	Simplify/Condense	log of x-1/2 log of y+4 log of z	$\log (x) - \frac{1}{2} \log (y) + 4 \log (z)$
219617	Simplify	square root of 7/9* square root of 4/7	$\sqrt{\frac{7}{9}} \cdot \sqrt{\frac{4}{7}}$
219618	Simplify	fourth root of (256m^8n^4p^16)/(2m^4p^4)	$\sqrt[4]{\frac{256 m^{8} n^{4} p^{16}}{2 m^{4} p^{4}}}$
219619	Find the Roots (Zeros)	x^3+1=4x^2	$x^{3} + 1 = 4 x^{2}$
219620	Solve for p	3p+2>=-10	$3 p + 2 \geq - 10$
219621	Simplify	-x^2y^-2	$- x^{2} y^{- 2}$
219622	Solve the Rational Equation for A	1/((x+1)(x+2))=A/(x+1)+B/(x+2)	$\frac{1}{(x + 1) (x + 2)} = \frac{A}{x + 1} + \frac{B}{x + 2}$
219623	Divide Using Synthetic Division	(4p^3-3p^2+2p)÷(p-1)	$(4 p^{3} - 3 p^{2} + 2 p) \div (p - 1)$
219624	Solve for v	-6+ log of 6v=-7	$- 6 + \log (6 v) = - 7$
219625	Convert to a Decimal	28deg	$28$ degrees
219626	Simplify	cd cube root of -80c	$c d \sqrt[3]{- 80 c}$
219627	Simplify	(9x^2)/(x-6)(x^2-36)/(3x-6)3/(4x^2+24x)	$\frac{9 x^{2}}{x - 6} \cdot \frac{x^{2} - 36}{3 x - 6} \cdot \frac{3}{4 x^{2} + 24 x}$
219628	Factor	3(8x+3)^2(7x-6)-(8x+3)(7x-6)^2	$3 {(8 x + 3)}^{2} (7 x - 6) - (8 x + 3) {(7 x - 6)}^{2}$
219629	Determine if Parallel	y=8 and x=-1	$y = 8$ and $x = - 1$
219630	Simplify the Radical Expression	square root of 32 square root of 25 square root of 8* square root of 18	$\sqrt{3} \cdot 2 \sqrt{2} \cdot 5 \sqrt{8} \cdot \sqrt{18}$
219631	Solve for x	log base 4 of x^2- log base 4 of x-1=1	$\log_{4} (x^{2}) - \log_{4} (x - 1) = 1$
219632	Graph	(x^2+2x)/(-4x+8)	$\frac{x^{2} + 2 x}{- 4 x + 8}$
219633	Solve for x	-9/2+(2x+9)/(2x)=-5	$\frac{- 9}{2} + \frac{2 x + 9}{2 x} = - 5$
219634	Factor	x^4+7x^3-8x^2-9x^2-63x+72	$x^{4} + 7 x^{3} - 8 x^{2} - 9 x^{2} - 63 x + 72$
219635	Evaluate	g(-x)=-x^3	$g (- x) = - x^{3}$
219636	Evaluate	0.5/(( square root of 3)/2)	$\frac{0.5}{\frac{\sqrt{3}}{2}}$
219637	Simplify	x/(2x+8)-(5x+1)/(x+4)	$\frac{x}{2 x + 8} - \frac{5 x + 1}{x + 4}$
219638	Solve the Inequality for x	0>-5x-6x	$0 > - 5 x - 6 x$
219639	Solve for n	-9(n+4)=-5n-(4n+36)	$- 9 (n + 4) = - 5 n - (4 n + 36)$
219640	Graph	x=t^2+3 , y=t/4-5 , -5<=t<=5	$x = t^{2} + 3$ , $y = \frac{t}{4} - 5$ , $- 5 \leq t \leq 5$
219641	Solve for y	limit as x approaches y of (yx)/3=12	$lim_{x \to y} \frac{y x}{3} = 12$
219642	Write the Fraction in Simplest Form	1/(1+cos(x))+1/(1-cos(x))	$\frac{1}{1 + \cos (x)} + \frac{1}{1 - \cos (x)}$
219643	Evaluate	1/(1+cos(x))+1/(1-cos(x))	$\frac{1}{1 + \cos (x)} + \frac{1}{1 - \cos (x)}$
219644	Solve for x	x^8+48x^4=49	$x^{8} + 48 x^{4} = 49$
219645	Evaluate	3(4)^4 square root of 4	$3 {(4)}^{4} \sqrt{4}$
219646	Write as a Single Logarithm	( log base 3 of 2)( log base 3 of 4)	$(\log_{3} (2)) (\log_{3} (4))$
219647	Evaluate	3^(9^(2^-1))	$3^{9^{2^{- 1}}}$
219648	Expand the Logarithmic Expression	( log base 3 of 2)( log base 3 of 4)	$(\log_{3} (2)) (\log_{3} (4))$
219649	Solve for x	natural log of natural log of x-1=5	$\ln (\ln (x - 1)) = 5$
219650	Convert to Interval Notation	37>7-6x>-17	$37 > 7 - 6 x > - 17$
219651	Simplify	2 cube root of x^2+3 square root of x^3	$2 \sqrt[3]{x^{2}} + 3 \sqrt{x^{3}}$
219652	Simplify	(-6qr)(9q^2+4qr^2-7)	$(- 6 q r) (9 q^{2} + 4 q r^{2} - 7)$
219653	Solve the Inequality for v	5(2v+3)-10v>-10	$5 (2 v + 3) - 10 v > - 10$
219654	Simplify	4/(3x^3)*(7x^2)/3	$\frac{4}{3 x^{3}} \cdot \frac{7 x^{2}}{3}$
219655	Write in Standard Form	y=(-1x)/11-8/11	$y = \frac{- 1 x}{11} - \frac{8}{11}$
219656	Simplify	x(y-1/x)-xy	$x (y - \frac{1}{x}) - x y$
219657	Simplify	(2 square root of 6i)/( square root of 2i)	$\frac{2 \sqrt{6} i}{\sqrt{2} i}$
219658	Simplify	3x^2-5xy-6y^2-2x^2-3xy+4y^2	$3 x^{2} - 5 x y - 6 y^{2} - 2 x^{2} - 3 x y + 4 y^{2}$
219659	Write in Exponential Form	- square root of (2x+1)^6	$- \sqrt{{(2 x + 1)}^{6}}$
219660	Find the GCF	22y	$22 y$
219661	Solve for b	y=(x-1)(x+b)	$y = (x - 1) (x + b)$
219662	Solve for x	0=-5/4(x-6/5)	$0 = - \frac{5}{4} (x - \frac{6}{5})$
219663	Evaluate	-4(3^3)+(10^2)/2	$- 4 (3^{3}) + \frac{10^{2}}{2}$
219664	Solve for x	2/3x+5/6=3 1/3	$\frac{2}{3} x + \frac{5}{6} = 3 \frac{1}{3}$
219665	Graph	y-1<3x	$y - 1 < 3 x$
219666	Find the Third Term	a_n=4(4)^n	$a_{n} = 4 {(4)}^{n}$
219667	Write in Standard Form	-9=-4x-7y	$- 9 = - 4 x - 7 y$
219668	Evaluate	i^6i^38i^25	$i^{6} \cdot i^{38} \cdot i^{25}$
219669	Evaluate	square root of 3+ square root of 36	$\sqrt{3 + \sqrt{36}}$
219670	Find the Excluded Values	(x^3(x+5))/(x-9)*((x-9)(x+8))/(3x^3)	$\frac{x^{3} (x + 5)}{x - 9} \cdot \frac{(x - 9) (x + 8)}{3 x^{3}}$
219671	Solve the System of Equations	4x-8y=-8 and 5x-9y=-7	$4 x - 8 y = - 8$ and $5 x - 9 y = - 7$
219672	Solve by Graphing	-3x+y=8 -x+y=-2	$- 3 x + y = 8$ $- x + y = - 2$
219673	Simplify	(x-y)/( square root of x- square root of y)	$\frac{x - y}{\sqrt{x} - \sqrt{y}}$
219674	Solve the Rational Equation for x	-6+ square root of x-5=-2	$- 6 + \sqrt{x - 5} = - 2$
219675	Convert to a Decimal	sin(585)deg	$\sin (585)$ degrees
219676	Evaluate	( square root of 20- square root of 3)( square root of 20+ square root of 3)	$(\sqrt{20} - \sqrt{3}) (\sqrt{20} + \sqrt{3})$
219677	Write the Fraction in Simplest Form	(10p^-2y^5)/(-2(p^4y^2)^4)	$\frac{10 p^{- 2} y^{5}}{- 2 {(p^{4} y^{2})}^{4}}$
219678	Factor	-16x^3y^2-8x^2y-24x^4y^4-40x^2y^3	$- 16 x^{3} y^{2} - 8 x^{2} y - 24 x^{4} y^{4} - 40 x^{2} y^{3}$
219679	Solve for w	v+w-x=y for w	$v + w - x = y$ for $w$
219680	Solve for x	x/2+(5x)/4=13/4	$\frac{x}{2} + \frac{5 x}{4} = \frac{13}{4}$
219681	Find the Degree	y^2+12-5y^3+y^2	$y^{2} + 12 - 5 y^{3} + y^{2}$
219682	Write as a Single Logarithm	4 log of 2-2 log of 3- log of 4	$4 \log (2) - 2 \log (3) - \log (4)$
219683	Solve the System of Inequalities	-4<(y-7)/-3<=2	$- 4 < \frac{y - 7}{- 3} \leq 2$
219684	Simplify	(x^2+x)^2+x	${(x^{2} + x)}^{2} + x$
219685	Find the Exact Value	log base 4 of 20- log base 4 of 45+ log base 4 of 144	$\log_{4} (20) - \log_{4} (45) + \log_{4} (144)$
219686	Find All Complex Solutions	x/5=1/(x+4)	$\frac{x}{5} = \frac{1}{x + 4}$
219687	Simplify	5/(x^3)-1/(4x^2)	$\frac{5}{x^{3}} - \frac{1}{4 x^{2}}$
219688	Simplify	(-15x^-2y^4)/(25x^2y)	$\frac{- 15 x^{- 2} y^{4}}{25 x^{2} y}$
219689	Solve for G	2/3(F+G)=D	$\frac{2}{3} (F + G) = D$
219690	Multiply	7x^4(2x^6+4x^3-3x^2-5x)	$7 x^{4} (2 x^{6} + 4 x^{3} - 3 x^{2} - 5 x)$
219691	Evaluate Using the Given Value	Evaluate 4-0.25g+0.5h when g=10 and h=5	Evaluate $4 - 0.25 g + 0.5 h$ when $g = 10$ and $h = 5$
219692	Solve the Inequality for x	-2x>=10x-9(x-1/3)-7	$- 2 x \geq 10 x - 9 (x - \frac{1}{3}) - 7$
219693	Determine if a Polynomial	3h^4+ fifth root of h+1	$3 h^{4} + \sqrt[5]{h} + 1$
219694	Subtract	3/4--1/2	$\frac{3}{4} - \frac{- 1}{2}$
219695	Find the Symmetry	y=x^3+x^2-100x-100	$y = x^{3} + x^{2} - 100 x - 100$
219696	Subtract	-3/4-1/2	$\frac{- 3}{4} - \frac{1}{2}$
219697	Find the Product	(x+2y)(x^2-xy+3y)	$(x + 2 y) (x^{2} - x y + 3 y)$
219698	Graph	y=x^2 and y=x^2-5	$y = x^{2}$ and $y = x^{2} - 5$
219699	Rationalize the Denominator	3/(-1- square root of 10)	$\frac{3}{- 1 - \sqrt{10}}$
219700	Simplify	(24x^4y^-2)/((2xy)^2)	$\frac{24 x^{4} y^{- 2}}{{(2 x y)}^{2}}$