Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
233601	Simplify	(6 cube root of 24)/(2 cube root of 2)	$\frac{6 \sqrt[3]{24}}{2 \sqrt[3]{2}}$
233602	Solve for x	x^5+4x^3=5x^4-2x^3	$x^{5} + 4 x^{3} = 5 x^{4} - 2 x^{3}$
233603	Evaluate	-(0)^4-8(0)^3-18(0)^2+7	$- {(0)}^{4} - 8 {(0)}^{3} - 18 {(0)}^{2} + 7$
233604	Simplify	( square root of 160a^6b^2+ square root of 40a^4b^2)/( square root of 20ab)	$\frac{\sqrt{160 a^{6} b^{2}} + \sqrt{40 a^{4} b^{2}}}{\sqrt{20 a b}}$
233605	Multiply	(2- square root of 5)*(2- square root of 5)	$(2 - \sqrt{5}) \cdot (2 - \sqrt{5})$
233606	Solve for x	3x+2(x-8)>x	$3 x + 2 (x - 8) > x$
233607	Graph	y=1/2x^4	$y = \frac{1}{2} x^{4}$
233608	Divide	((x+4)/(x^2+2))÷((x^2-2)/(x-8))	$\frac{x + 4}{x^{2} + 2} \div \frac{x^{2} - 2}{x - 8}$
233609	Convert to a Percentage	0.2*100	$0.2 \cdot 100$
233610	Simplify	18-12+2*3^2-12÷(1+1)	$18 - 12 + 2 \cdot 3^{2} - 12 \div (1 + 1)$
233611	Solve the Inequality for q	q/7+1>-5	$\frac{q}{7} + 1 > - 5$
233612	Find the Product	(-9x^2-10y)^2	${(- 9 x^{2} - 10 y)}^{2}$
233613	Divide	((x^2+15x+56)/x)÷((x^2+2x-35)/(4x-20))	$\frac{x^{2} + 15 x + 56}{x} \div \frac{x^{2} + 2 x - 35}{4 x - 20}$
233614	Determine if (-3,-4) is a Solution	5x-y>-2 , (-3,-4)	$5 x - y > - 2$ , $(- 3, - 4)$
233615	Solve by Factoring	x^3-5x^2-4x-20=0	$x^{3} - 5 x^{2} - 4 x - 20 = 0$
233616	Divide	(4+3i)/(-10+i)	$\frac{4 + 3 i}{- 10 + i}$
233617	Graph	x^2+y^2=y	$x^{2} + y^{2} = y$
233618	Evaluate the Function	p(11)=5(x^2+1)+16	$p (11) = 5 (x^{2} + 1) + 16$
233619	Divide	((x^2+3x-28)/(2x^3))÷((x^2-7x+12)/(x-3))	$\frac{x^{2} + 3 x - 28}{2 x^{3}} \div \frac{x^{2} - 7 x + 12}{x - 3}$
233620	Rationalize the Denominator	(4+ square root of 27)/(2-3 square root of 27)	$\frac{4 + \sqrt{27}}{2 - 3 \sqrt{27}}$
233621	Solve for P	(P)=(2L+2W)	$(P) = (2 L + 2 W)$
233622	Find All Complex Solutions	4sin(theta)-1=2sin(theta)	$4 \sin (θ) - 1 = 2 \sin (θ)$
233623	Write in Slope-Intercept Form	5x-12=9(2y-1)	$5 x - 12 = 9 (2 y - 1)$
233624	Solve for z	z(z+7)=30	$z (z + 7) = 30$
233625	Simplify	( square root of cube root of 2)^4	${(\sqrt{\sqrt[3]{2}})}^{4}$
233626	Factor	a-b+ab-1	$a - b + a b - 1$
233627	Solve the Inequality for x	(5x-6)^2<=0	${(5 x - 6)}^{2} \leq 0$
233628	Simplify the Radical Expression	square root of (45x^3y^4)/(16x^2)	$\sqrt{\frac{45 x^{3} y^{4}}{16 x^{2}}}$
233629	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-2,0) and has a slope of -2 ?	What is the equation of the line that passes through the point $(- 2, 0)$ and has a slope of $- 2$ ?
233630	Find the Third Term	a_n=1/4(2)^(n-1)	$a_{n} = \frac{1}{4} {(2)}^{n - 1}$
233631	Graph	y=x-1/x	$y = x - \frac{1}{x}$
233632	Solve for z	2(3-2(z+4))=3(4-z)	$2 (3 - 2 (z + 4)) = 3 (4 - z)$
233633	Find the Degree	(5np)/(n^2)-(2g)/h	$\frac{5 n p}{n^{2}} - \frac{2 g}{h}$
233634	Solve for x	f(1)=2x-1	$f (1) = 2 x - 1$
233635	Graph	y<=2x-4 2y-x>=2	$y \leq 2 x - 4$ $2 y - x \geq 2$
233636	Solve for y	y=(-2+1)^2	$y = {(- 2 + 1)}^{2}$
233637	Evaluate	1/2(5/6)^2+2/9	$\frac{1}{2} {(\frac{5}{6})}^{2} + \frac{2}{9}$
233638	Evaluate	2+(-1/2)	$2 + (- \frac{1}{2})$
233639	Simplify	log of 12+1/2 log of 7- log of 2	$\log (12) + \frac{1}{2} \log (7) - \log (2)$
233640	Simplify	x^3 square root of y^4	$x^{3} \sqrt{y^{4}}$
233641	Solve for x	5x-(7x-4)-2=5-(3x+2)	$5 x - (7 x - 4) - 2 = 5 - (3 x + 2)$
233642	Divide Using Long Polynomial Division	Use the long division method to find the result when 3x^3+19x^2+30x+8 is divided by 3x+1	Use the long division method to find the result when $3 x^{3} + 19 x^{2} + 30 x + 8$ is divided by $3 x + 1$
233643	Graph	f(x)=\|x\| g(x)=\|x\|+5	$f (x) = \| x \|$ $g (x) = \| x \| + 5$
233644	Solve for a	ac+2bc-6ab-3a^2=0	$a c + 2 b c - 6 a b - 3 a^{2} = 0$
233645	Evaluate	( fourth root of x)^-1	${(\sqrt[4]{x})}^{- 1}$
233646	Solve for x	1/3(13^(6x+5))=14	$\frac{1}{3} (13^{6 x + 5}) = 14$
233647	Solve the Absolute Value Inequality for y	\|y-20\|<4	$\| y - 20 \| < 4$
233648	Expand Using the Binomial Theorem	(2xy^3+y)^7	${(2 x y^{3} + y)}^{7}$
233649	Divide Using Long Polynomial Division	2x^3+15x^2-16x+4 divided by 2x-1	$2 x^{3} + 15 x^{2} - 16 x + 4$ divided by $2 x - 1$
233650	Simplify the Radical Expression	(x^3)^2	${(x^{3})}^{2}$
233651	Find the Product	(x+ square root of 5)(x+ square root of 5)	$(x + \sqrt{5}) (x + \sqrt{5})$
233652	Multiply	[[-3],[0],[2],[-1]][[1,4,1,-4,0]]	$[\begin{array}{c} - 3 \\ 0 \\ 2 \\ - 1 \end{array}] [\begin{array}{c} 1 & 4 & 1 & - 4 & 0 \end{array}]$
233653	Graph	2/3y=-1/2x	$\frac{2}{3} y = - \frac{1}{2} x$
233654	Rationalize the Denominator	( square root of 9)/( square root of 8)	$\frac{\sqrt{9}}{\sqrt{8}}$
233655	Divide Using Long Polynomial Division	9x^3-12x^2-18x-9 divided by 3x-7	$9 x^{3} - 12 x^{2} - 18 x - 9$ divided by $3 x - 7$
233656	Solve for x	1-x/6=x/2-3	$1 - \frac{x}{6} = \frac{x}{2} - 3$
233657	Write the Fraction in Simplest Form	3/26*8	$\frac{3}{26} \cdot 8$
233658	Solve the Inequality for x	square root of 2x-14+4>12	$\sqrt{2 x - 14} + 4 > 12$ ?
233659	Simplify	( square root of 40x^4)/( cube root of -x^3)	$\frac{\sqrt{40 x^{4}}}{\sqrt[3]{- x^{3}}}$
233660	Simplify the Radical Expression	( fourth root of 16x^16y^24)/( fourth root of x^2y^4)	$\frac{\sqrt[4]{16 x^{16} y^{24}}}{\sqrt[4]{x^{2} y^{4}}}$
233661	Graph	x>=y^2	$x \geq y^{2}$
233662	Solve for x	x^( log base 2 of x)=4x	$x^{\log_{2} (x)} = 4 x$
233663	Solve the System of Equations	-x-3y+3z=-5 x-5y-z=7 x-7y+z=-3	$- x - 3 y + 3 z = - 5$ $x - 5 y - z = 7$ $x - 7 y + z = - 3$
233664	Solve the Inequality for v	3v-8>22	$3 v - 8 > 22$
233665	Find the Domain and Range	y=1/2csc(x)	$y = \frac{1}{2} \csc (x)$
233666	Evaluate	-1/2(8+6)	$- \frac{1}{2} (8 + 6)$
233667	Solve for x	square root of 5+ square root of x=4	$\sqrt{5 + \sqrt{x}} = 4$
233668	Simplify	(-4x^2+16)-(-4x^2+16)	$(- 4 x^{2} + 16) - (- 4 x^{2} + 16)$
233669	Simplify	((x^2+2)^3(4x)-x^2*3(x^2+2)^2(4x))/(((x^2+2)^3)^2)	$\frac{{(x^{2} + 2)}^{3} (4 x) - x^{2} \cdot 3 {(x^{2} + 2)}^{2} (4 x)}{{({(x^{2} + 2)}^{3})}^{2}}$
233670	Evaluate	3^(3x+6)=27^(x+2)	$3^{3 x + 6} = 27^{x + 2}$
233671	Solve for g	t=(v+k)/g	$t = \frac{v + k}{g}$
233672	Simplify	(a^2+b^2)(c^2+d^2)	$(a^{2} + b^{2}) (c^{2} + d^{2})$
233673	Simplify	xy*2x^5y^3	$x y \cdot 2 x^{5} y^{3}$
233674	Evaluate the Function	P(x)=7x^3+6x^4-8x^6+6x+11 at x=0	$P (x) = 7 x^{3} + 6 x^{4} - 8 x^{6} + 6 x + 11$ at $x = 0$
233675	Evaluate	(2x-3)/(3x+2)<0	$\frac{2 x - 3}{3 x + 2} < 0$
233676	Evaluate	2pi-0	$2 π - 0$
233677	Simplify	square root of (x-1)^4	$\sqrt{{(x - 1)}^{4}}$
233678	Solve for z	\|3z-9\|<=3	$\| 3 z - 9 \| \leq 3$
233679	Write the Fraction in Simplest Form	17/15*2/11	$\frac{17}{15} \cdot \frac{2}{11}$
233680	Solve for b	3 3/4b=-2 1/2	$3 \frac{3}{4} b = - 2 \frac{1}{2}$
233681	Solve for A	2cos(A)^2-cos(A)-1=0	$2 \cos^{2} (A) - \cos (A) - 1 = 0$
233682	Simplify	cos(150 degrees )	$\cos (150 °)$
233683	Simplify	((e^x+e^(-x))/2)^2	${(\frac{e^{x} + e^{- x}}{2})}^{2}$
233684	Graph	f(x)=x(x-2)^2(x-1)(x+1)	$f (x) = x {(x - 2)}^{2} (x - 1) (x + 1)$
233685	Simplify the Radical Expression	7 square root of 4(5 square root of 3-2 square root of 3)	$7 \sqrt{4} (5 \sqrt{3} - 2 \sqrt{3})$
233686	Solve the System of Equations	-x-4y=2 and x+4y=-2	$- x - 4 y = 2$ and $x + 4 y = - 2$
233687	Simplify the Radical Expression	fourth root of 3^3* sixth root of 3^5	$\sqrt[4]{3^{3}} \cdot \sqrt[6]{3^{5}}$
233688	Simplify	xy+yx	$x y + y x$
233689	Find the x and y Intercepts	f(x)=x^2(x^2+9)(2x+3)(x^2-6)	$f (x) = x^{2} (x^{2} + 9) (2 x + 3) (x^{2} - 6)$
233690	Simplify	3^3x*3^4	$3^{3} x \cdot 3^{4}$
233691	Solve for y	y-1/2=1/5	$y - \frac{1}{2} = \frac{1}{5}$
233692	Simplify	(2 square root of 8+3 square root of 5)(6 square root of 8+7 square root of 5)	$(2 \sqrt{8} + 3 \sqrt{5}) (6 \sqrt{8} + 7 \sqrt{5})$ ?
233693	Find the Distance Between Two Points	(0,0) and (4,6)	$(0, 0)$ and $(4, 6)$
233694	Solve for x	a(x+z)-yx=b	$a (x + z) - y x = b$
233695	Evaluate	8- fourth root of x=7	$8 - \sqrt[4]{x} = 7$
233696	Graph	x^2+(y-(3/x)^2)*2=1	$x^{2} + (y - {(\frac{3}{x})}^{2}) \cdot 2 = 1$
233697	Simplify	( seventh root of x^2)( fifth root of x^3)	$(\sqrt[7]{x^{2}}) (\sqrt[5]{x^{3}})$
233698	Simplify the Radical Expression	fourth root of 6^5* square root of 6^3	$\sqrt[4]{6^{5}} \cdot \sqrt{6^{3}}$
233699	Simplify	(9/(4x^2))/((6x)/(16x^4))	$\frac{\frac{9}{4 x^{2}}}{\frac{6 x}{16 x^{4}}}$
233700	Write in Standard Form	4x^2y^2-2y^4-8xy^3+9x^3y+6y^4-2xy^3-3x^4+x^2y^2	$4 x^{2} y^{2} - 2 y^{4} - 8 x y^{3} + 9 x^{3} y + 6 y^{4} - 2 x y^{3} - 3 x^{4} + x^{2} y^{2}$