Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
45801	Solve Using the Quadratic Formula	3(t^2-9)^2+16(t^2-9)=-5	$3 {(t^{2} - 9)}^{2} + 16 (t^{2} - 9) = - 5$
45802	Evaluate the Integral	integral of (x^5-4x^-4+6x^3+2x) with respect to x	$\int (x^{5} - 4 x^{- 4} + 6 x^{3} + 2 x) d x$
45803	Solve the Inequality for y	\|7-2y\|-8>=-3	$\| 7 - 2 y \| - 8 \geq - 3$
45804	Simplify	p(c-d)+c-d	$p (c - d) + c - d$
45805	Find the Domain	H(x) = log base 5 of x^3	$H (x) = \log_{5} (x^{3})$
45806	Solve the Inequality for y	8+3/y>19/y	$8 + \frac{3}{y} > \frac{19}{y}$
45807	Convert to a Percentage	20 is what percent of 50 ?	$20$ is what percent of $50$ ?
45808	Factor	(2x-1)^2-(4x+5)^2	${(2 x - 1)}^{2} - {(4 x + 5)}^{2}$
45809	Integrate Using u-Substitution	integral of e^(cos(x))sin(x) with respect to x	$\int e^{\cos (x)} \sin (x) d x$
45810	Graph	y<=(x-3)^2+3	$y \leq {(x - 3)}^{2} + 3$
45811	Simplify	(4^2)/-3	$\frac{4^{2}}{- 3}$
45812	Solve for x	(x-9)-(x+3)=6x	$(x - 9) - (x + 3) = 6 x$
45813	Graph Using a Table of Values	y=1/(x+3)	$y = \frac{1}{x + 3}$
45814	Solve for h	0.81=0.5 square root of h	$0.81 = 0.5 \sqrt{h}$
45815	Simplify	x square root of 2*x square root of 2	$x \sqrt{2} \cdot x \sqrt{2}$
45816	Find the Tangent Line at (3,1)	y=3/x at (3,1)	$y = \frac{3}{x}$ at $(3, 1)$
45817	Divide Using Long Polynomial Division	(4x^4-2x^3+x^2-5x+8)÷(x^2-2x-1)	$(4 x^{4} - 2 x^{3} + x^{2} - 5 x + 8) \div (x^{2} - 2 x - 1)$
45818	Simplify	(x^2)/(x+2)+(4x)/(x+2)+4/(x+2)	$\frac{x^{2}}{x + 2} + \frac{4 x}{x + 2} + \frac{4}{x + 2}$
45819	Find the Antiderivative	((1-x)/x)^2	${(\frac{1 - x}{x})}^{2}$
45820	Find the Antiderivative	x+y	$x + y$
45821	Solve for θ	cos(2theta)+cos(theta)=0	$\cos (2 θ) + \cos (θ) = 0$
45822	Evaluate the Limit	limit as x approaches infinity of 2x( square root of 9+10/x-3)	$lim_{x \to \infty} 2 x (\sqrt{9 + \frac{10}{x}} - 3)$
45823	Solve for x in Radians	tan(3x)^2=3	$\tan^{2} (3 x) = 3$
45824	Simplify the Radical Expression	square root of 18a^6b^3c^5	$\sqrt{18 a^{6} b^{3} c^{5}}$
45825	Simplify the Radical Expression	fifth root of 10^2* sixth root of 10^5	$\sqrt[5]{10^{2}} \cdot \sqrt[6]{10^{5}}$
45826	Find the Slope	1/6x+3/2	$\frac{1}{6} x + \frac{3}{2}$
45827	Simplify	(2x)/y-6/(3xy)	$\frac{2 x}{y} - \frac{6}{3 x y}$
45828	Simplify	( square root of 6)/2* square root of 3	$\frac{\sqrt{6}}{2} \cdot \sqrt{3}$
45829	Graph	Graph the line y=-2	Graph the line $y = - 2$
45830	Graph	x^2+y^2<16 x^2-y<2	$x^{2} + y^{2} < 16$ $x^{2} - y < 2$
45831	Find the Domain	f(x)=(5+3x)/( square root of 2-x)	$f (x) = \frac{5 + 3 x}{\sqrt{2 - x}}$
45832	Evaluate	(e^0.01-1)/0.01	$\frac{e^{0.01} - 1}{0.01}$
45833	Solve the System of Inequalities	2x+5>11 or -1/3(x+15)<-10	$2 x + 5 > 11$ or $- \frac{1}{3} (x + 15) < - 10$
45834	Convert to a Decimal	sin(40)deg	$\sin (40)$ degrees
45835	Find the Slope	f(x)=2(x+3)	$f (x) = 2 (x + 3)$
45836	Simplify	(4^-2x^3y^-3)/(2x^0)	$\frac{4^{- 2} x^{3} y^{- 3}}{2 x^{0}}$
45837	Divide Using Long Polynomial Division	Use the long division method to find the result when 6x^3+13x^2+23x+30 is divided by 3x+5	Use the long division method to find the result when $6 x^{3} + 13 x^{2} + 23 x + 30$ is divided by $3 x + 5$
45838	Evaluate	x^4=1	$x^{4} = 1$
45839	Simplify	5/(10 square root of 2)	$\frac{5}{10 \sqrt{2}}$
45840	Find the Product	9(x^2+xy-8y^2)	$9 (x^{2} + x y - 8 y^{2})$
45841	Simplify the Radical Expression	(b^(-3/4))^(2/3)	${(b^{- \frac{3}{4}})}^{\frac{2}{3}}$
45842	Solve for d	-16+7d-4=6(d-5)-9	$- 16 + 7 d - 4 = 6 (d - 5) - 9$
45843	Divide	(2^5)/(6^5)	$\frac{2^{5}}{6^{5}}$
45844	Graph	I LOVE YOU	I LOVE $Y O U$
45845	Simplify	5(8r^4p^2q)^0	$5 {(8 r^{4} p^{2} q)}^{0}$
45846	Multiply	( square root of 5)( square root of 5)	$(\sqrt{5}) (\sqrt{5})$
45847	Find the Exact Value	arctan(tan(-(4pi)/9))	$\arctan (\tan (- \frac{4 π}{9}))$
45848	Simplify	3 square root of 7( square root of 14+4 square root of 56)	$3 \sqrt{7} (\sqrt{14} + 4 \sqrt{56})$
45849	Find the Roots (Zeros)	x^2(x-2)	$x^{2} (x - 2)$
45850	Graph	0=(5pi)/6	$0 = \frac{5 π}{6}$
45851	Simplify	(1/2)/x	$\frac{\frac{1}{2}}{x}$
45852	Find f(g(x))	f(x)=x^2-3x+2 and g(x)=2x+4	$f (x) = x^{2} - 3 x + 2$ and $g (x) = 2 x + 4$
45853	Evaluate the Integral	integral of 8cos(theta)cos(sin(theta))^5 with respect to theta	$\int 8 \cos (θ) \cos^{5} (\sin (θ)) d θ$
45854	Solve for p	square root of 72-p=p	$\sqrt{72 - p} = p$
45855	Find the x and y Intercepts	(x^2+y^2-8x)^2=64x^2+64y^2	${(x^{2} + y^{2} - 8 x)}^{2} = 64 x^{2} + 64 y^{2}$
45856	Solve for w	4w^2+5=-12w	$4 w^{2} + 5 = - 12 w$
45857	Solve for x	x^13-2x^12-x^11+2x^10=0	$x^{13} - 2 x^{12} - x^{11} + 2 x^{10} = 0$
45858	Find dy/dx	y = natural log of x+ square root of 1+x^2	$y = \ln (x + \sqrt{1 + x^{2}})$
45859	Simplify	(12xy-8x)/(4x)	$\frac{12 x y - 8 x}{4 x}$
45860	Graph Using a Table of Values	y = cube root of x+2	$y = \sqrt[3]{x + 2}$
45861	Solve the Differential Equation	y'=x+y	$y' = x + y$
45862	Simplify	(-q^3-3q)÷9q^3	$(- q^{3} - 3 q) \div 9 q^{3}$
45863	Solve for y	m=(x-y)/2	$m = \frac{x - y}{2}$
45864	Simplify	-4 root of 16	$\sqrt[- 4]{16}$
45865	Solve the Inequality for k	-20<-5k-15<5	$- 20 < - 5 k - 15 < 5$
45866	Find the Roots (Zeros)	x^2e^x+2xe^x	$x^{2} e^{x} + 2 x e^{x}$
45867	Simplify	(12y+4x^4y)-(-y-6xy^2-8x^4y)-(7x^4y-13xy^2-y)	$(12 y + 4 x^{4} y) - (- y - 6 x y^{2} - 8 x^{4} y) - (7 x^{4} y - 13 x y^{2} - y)$
45868	Convert to Radical Form	(5^(1/5)*0.5^(2/5))	$(5^{\frac{1}{5}} \cdot {0.5}^{\frac{2}{5}})$
45869	Multiply	6/75/111/3	$\frac{6}{7} \cdot \frac{5}{11} \cdot \frac{1}{3}$
45870	Simplify	8+16÷4*5-3	$8 + 16 \div 4 \cdot 5 - 3$
45871	Simplify	square root of 72÷(3+5)+5*2^2	$\sqrt{72 \div (3 + 5)} + 5 \cdot 2^{2}$
45872	Graph	y+1<=2x	$y + 1 \leq 2 x$
45873	Write in Standard Form	log base 3 of x	$\log_{3} (x)$
45874	Factor by Grouping	x^3-2x^2+x	$x^{3} - 2 x^{2} + x$
45875	Solve for x	-bx=-a+c	$- b x = - a + c$
45876	Simplify	sin(240 degrees )	$\sin (240 °)$
45877	Simplify the Radical Expression	(1/64)^(1/6)	${(\frac{1}{64})}^{\frac{1}{6}}$
45878	Find the Inverse	2x^(1/5)-2	$2 x^{\frac{1}{5}} - 2$
45879	Evaluate the Function	f(2)=(1/2)^2	$f (2) = {(\frac{1}{2})}^{2}$
45880	Factor	(6x^2+7x)^2-4(6x^2+7x)-5	${(6 x^{2} + 7 x)}^{2} - 4 (6 x^{2} + 7 x) - 5$
45881	Solve for y	-8x+4y=24 for y	$- 8 x + 4 y = 24$ for $y$
45882	Solve the System of Equations	(x-2)^2+(y-3)^2=16 x+y-1=0	${(x - 2)}^{2} + {(y - 3)}^{2} = 16$ $x + y - 1 = 0$
45883	Solve for x	square root of 3x-11+5=x	$\sqrt{3 x - 11 + 5} = x$
45884	Simplify	Simplify the expression (2x^3-32x)/(2(x^2-4x))	Simplify the expression $\frac{2 x^{3} - 32 x}{2 (x^{2} - 4 x)}$
45885	Solve for x	3*x=2	$3 \cdot x = 2$
45886	Evaluate	x^7y^-2	$x^{7} y^{- 2}$
45887	Find the Slope	2x-5	$2 x - 5$
45888	Solve the System of Equations	y=x+5 3x+y=25	$y = x + 5$ $3 x + y = 25$
45889	Find the Asymptotes	(3x^6-7x+9)/(7x^2+7x+9)	$\frac{3 x^{6} - 7 x + 9}{7 x^{2} + 7 x + 9}$
45890	Evaluate	-pi/3+pi/2	$- \frac{π}{3} + \frac{π}{2}$
45891	Graph Using a Table of Values	y=x^2+x	$y = x^{2} + x$
45892	Find the Sine of the Angle	-(3pi)/2	$- \frac{3 π}{2}$
45893	Simplify	(2-3x)/(6x^2y)+(2x+1)/(6x^2y)+(2x-3)/(6x^2y)	$\frac{2 - 3 x}{6 x^{2} y} + \frac{2 x + 1}{6 x^{2} y} + \frac{2 x - 3}{6 x^{2} y}$
45894	Evaluate the Integral	integral of -e^(-2csc(2x))cot(2x)csc(2x) with respect to x	$\int - e^{- 2 \csc (2 x)} \cot (2 x) \csc (2 x) d x$
45895	Find the Vertices	9y^2-25x^2-100x-108y-1=0	$9 y^{2} - 25 x^{2} - 100 x - 108 y - 1 = 0$
45896	Find the Derivative - d/dx	tan(x-3)	$\tan (x - 3)$
45897	Find the LCD	3/(4x)7/(2x)11/(12x)	$\frac{3}{4 x} \cdot \frac{7}{2 x} \frac{11}{12 x}$
45898	Solve for θ	0 degrees <theta<90 degrees	$0 ° < θ < 90 °$
45899	Find the Inverse	f(x)=(7x+2)/3+5	$f (x) = \frac{7 x + 2}{3} + 5$
45900	Evaluate	square root of x-1 = square root of 2x-11	$\sqrt{x - 1} = \sqrt{2 x - 11}$