Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
48001	Solve for y	(x+y)/9=M	$\frac{x + y}{9} = M$
48002	Write in Standard Form	8y^3-3xy^2-x^2y+2x^3	$8 y^{3} - 3 x y^{2} - x^{2} y + 2 x^{3}$
48003	Find the Asymptotes	f(x)=(x^2-4)/(x^4-81)	$f (x) = \frac{x^{2} - 4}{x^{4} - 81}$
48004	Convert to Radical Form	7^(1/5)*49^(7/5)	$7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}}$
48005	Factor	25(4x-3)^2-9(2x+1)^2	$25 {(4 x - 3)}^{2} - 9 {(2 x + 1)}^{2}$
48006	Graph	table[[x,y],[1,3],[2,6],[3,9]]	$\begin{array}{c} x & y \\ 1 & 3 \\ 2 & 6 \\ 3 & 9 \end{array}$
48007	Solve the System of Equations	2x^2+3y^2=19 2x^2+y^2=9	$2 x^{2} + 3 y^{2} = 19$ $2 x^{2} + y^{2} = 9$
48008	Evaluate	(-( square root of 2)/2)(( square root of 3)/2)	$(- \frac{\sqrt{2}}{2}) (\frac{\sqrt{3}}{2})$
48009	Solve for x	6x-12+2x=3+8x-15	$6 x - 12 + 2 x = 3 + 8 x - 15$
48010	Simplify	limit as x approaches negative infinity of x/(2x-3)	$lim_{x \to - \infty} \frac{x}{2 x - 3}$
48011	Simplify	((6u+72)/(2u+24))÷((u^2+21u+108)/(u^2+20u+96))	$\frac{6 u + 72}{2 u + 24} \div \frac{u^{2} + 21 u + 108}{u^{2} + 20 u + 96}$
48012	Solve the Function Operation	Given that f(x)=x^2-19x+90 and g(x)=x-10 ; find (f÷g)(x) and express the result in standard form.	Given that $f (x) = x^{2} - 19 x + 90$ and $g (x) = x - 10$ ; find $(f \div g) (x)$ and express the result in standard form.
48013	Find the Asymptotes	f(x)=((x-9)(x+5)(x-4))/(-6x^3-9x^2-5x+10)	$f (x) = \frac{(x - 9) (x + 5) (x - 4)}{- 6 x^{3} - 9 x^{2} - 5 x + 10}$
48014	Solve for m	44=-8+m^3	$44 = - 8 + m^{3}$
48015	Solve the Inequality for r	15<3r	$15 < 3 r$
48016	Solve the Inequality for y	(4-y)/5-5y>=0	$\frac{(4 - y)}{5} - 5 y \geq 0$
48017	Graph	-2x^3+3x^2-x-3	$- 2 x^{3} + 3 x^{2} - x - 3$
48018	Multiply	3 square root of 6 and 5 square root of 12	$3 \sqrt{6}$ and $5 \sqrt{12}$
48019	Solve the Inequality for x	-3/4(4x+12)<=-(2x+8)	$- \frac{3}{4} (4 x + 12) \leq - (2 x + 8)$
48020	Find Amplitude, Period, and Phase Shift	y=3+2sin(2x-pi)	$y = 3 + 2 \sin (2 x - π)$
48021	Solve for d	(1/2)^2*4^(3d)=1	${(\frac{1}{2})}^{2} \cdot 4^{3 d} = 1$
48022	Solve the Inequality for x	-5/3x<=-5	$- \frac{5}{3} x \leq - 5$
48023	Simplify	-5/2*(2x+5)/x	$- \frac{5}{2} \cdot \frac{2 x + 5}{x}$
48024	Convert to a Decimal	What is -3 1/3 written as a decimal?	What is $- 3 \frac{1}{3}$ written as a decimal?
48025	Find Trig Functions Using Identities	tan(theta)=2 , sin(theta)<0	$\tan (θ) = 2$ , $\sin (θ) < 0$
48026	Simplify	(uv)/(4vu^4)	$\frac{u v}{4 v u^{4}}$
48027	Evaluate	8*(1/2)^2	$8 \cdot {(\frac{1}{2})}^{2}$
48028	Evaluate	(-xy)^2*(2x^9y^5)^4	${(- x y)}^{2} \cdot {(2 x^{9} y^{5})}^{4}$
48029	Graph	x/5=y/3	$\frac{x}{5} = \frac{y}{3}$
48030	Solve the System of Inequalities	3x+y<=9 y>=4	$3 x + y \leq 9$ $y \geq 4$
48031	Identify the Sequence	-32 , 10 2/3 , -3 5/9 , 1 5/27	$- 32$ , $10 \frac{2}{3}$ , $- 3 \frac{5}{9}$ , $1 \frac{5}{27}$
48032	Solve the Inequality for n	0.6n>=12-0.4n	$0.6 n \geq 12 - 0.4 n$
48033	Simplify	(8a^-6b^-4)/(a^-2b^-3)	$\frac{8 a^{- 6} b^{- 4}}{a^{- 2} b^{- 3}}$
48034	Evaluate	(a+b-c)(a+b+c)	$(a + b - c) (a + b + c)$
48035	Simplify the Radical Expression	(b3/7)(b4/7)	$(b \frac{3}{7}) (b \frac{4}{7})$
48036	Solve for x	cube root of 5x^2+8x-4- cube root of 9x=0	$\sqrt[3]{5 x^{2} + 8 x - 4} - \sqrt[3]{9 x} = 0$
48037	Evaluate	(-6+- square root of 6^2-42-8)/(2(2))	$\frac{- 6 + - \sqrt{6^{2} - 4 \cdot 2 \cdot - 8}}{2 (2)}$
48038	Find the Domain and Range	y=sin(x-pi)	$y = \sin (x - π)$
48039	Find All Complex Solutions	1/(x-1)+1/(x+2)=5/4	$\frac{1}{x - 1} + \frac{1}{x + 2} = \frac{5}{4}$
48040	Find the Degree, Leading Term, and Leading Coefficient	p(x)=(x-2)(x+1)(x+3)	$p (x) = (x - 2) (x + 1) (x + 3)$
48041	Find the Intersection	y<=-x-2 y>=-5x+2	$y \leq - x - 2$ $y \geq - 5 x + 2$
48042	Write in Standard Form	(4x^2+3x+7)(-2x^2+x+2)	$(4 x^{2} + 3 x + 7) (- 2 x^{2} + x + 2)$
48043	Evaluate the Limit	limit as x approaches -1 of (x^2+yx+z)/(x^2-1)=3	$lim_{x \to - 1} \frac{x^{2} + y x + z}{x^{2} - 1} = 3$
48044	Write in y=mx+b Form	(1,1) , (8,-3/4)	$(1, 1)$ , $(8, - \frac{3}{4})$
48045	Evaluate the Integral	integral of (-6+x^3) with respect to x	$\int (- 6 + x^{3}) d x$
48046	Graph	2f(x)=-5	$2 f (x) = - 5$
48047	Solve the System of Inequalities	5x-9y>=8 7x-4y<10	$5 x - 9 y \geq 8$ $7 x - 4 y < 10$
48048	Simplify	(2x^2(x+7))/(3x(x+7))	$\frac{2 x^{2} (x + 7)}{3 x (x + 7)}$
48049	Solve the Inequality for y	-3x+2y>5y+9	$- 3 x + 2 y > 5 y + 9$
48050	Solve the Rational Equation for x	3-1/(x+1)=x/(x+1)	$3 - \frac{1}{x + 1} = \frac{x}{x + 1}$
48051	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (6,-8) and has a slope of -2/3 ?	What is the equation of the line that passes through the point $(6, - 8)$ and has a slope of $- \frac{2}{3}$ ?
48052	Write in Exponential Form	( fifth root of 3)^5	${(\sqrt[5]{3})}^{5}$
48053	Simplify	((x^8y^5)/(x^9y^3))^-6	${(\frac{x^{8} y^{5}}{x^{9} y^{3}})}^{- 6}$
48054	Write the Fraction in Simplest Form	(tan(pi/2-x)csc(x))/(csc(x)^2)	$\frac{\tan (\frac{π}{2} - x) \csc (x)}{\csc^{2} (x)}$
48055	Find the Domain	x/( cube root of x-2)	$\frac{x}{\sqrt[3]{x} - 2}$
48056	Simplify	(x^2)^-2+x^4x^5	${(x^{2})}^{- 2} + x^{4} x^{5}$
48057	Solve for b	y=-1/2x+b	$y = - \frac{1}{2} x + b$
48058	Solve for x	199927=7x^4	$199927 = 7 x^{4}$
48059	Simplify	6y^2-3y^3+6x^2+2y^3+y^3-3y^2+3y^2	$6 y^{2} - 3 y^{3} + 6 x^{2} + 2 y^{3} + y^{3} - 3 y^{2} + 3 y^{2}$
48060	Solve the Function Operation	x+y=3 , 500x-y=2 , 342	$x + y = 3$ , $500 x - y = 2$ , $342$
48061	Write the Fraction in Simplest Form	limit as x approaches 2 of (2-x)/( square root of x+2-2)	$lim_{x \to 2} \frac{2 - x}{\sqrt{x + 2} - 2}$
48062	Evaluate the Integral	integral of xe^x+e^x with respect to x	$\int x e^{x} + e^{x} d x$
48063	Solve for x	log base 256 of x<1/4	$\log_{256} (x) < \frac{1}{4}$
48064	Evaluate the Integral	integral from 0 to 1 of (x-1)/(x+1) with respect to x	$\int_{0}^{1} \frac{x - 1}{x + 1} d x$
48065	Simplify	(6x^3)/(7y^3)(14x)/(15y^2)(25y^4)/(x^3)	$\frac{6 x^{3}}{7 y^{3}} \cdot \frac{14 x}{15 y^{2}} \cdot \frac{25 y^{4}}{x^{3}}$
48066	Solve for y	(y-0)^2=9-9((x+3)^2)/16	${(y - 0)}^{2} = 9 - 9 \frac{{(x + 3)}^{2}}{16}$
48067	Multiply	315/3	$3 \cdot 1 \cdot \frac{5}{3}$
48068	Solve for b	a=1/4b	$a = \frac{1}{4} b$
48069	Evaluate	square root of 3 4/9*7 8/31	$\sqrt{3 \frac{4}{9} \cdot 7 \frac{8}{31}}$
48070	Find the Reference Angle	tan((7pi)/3)	$\tan (\frac{7 π}{3})$
48071	Solve the Inequality for x	5 square root of x-1>10	$5 \sqrt{x - 1} > 10$
48072	Solve for x	4x^5-40x^3+36x=0	$4 x^{5} - 40 x^{3} + 36 x = 0$
48073	Simplify the Radical Expression	( fifth root of 3)^5	${(\sqrt[5]{3})}^{5}$
48074	Expand Using the Binomial Theorem	(1/2x^3y^2-4y)^9	${(\frac{1}{2} x^{3} y^{2} - 4 y)}^{9}$
48075	Solve the Function Operation	Given that f(x)=x^2+11x+30 and g(x)=x+6 ; find (f*g)(x) and express the result in standard form.	Given that $f (x) = x^{2} + 11 x + 30$ and $g (x) = x + 6$ ; find $(f \cdot g) (x)$ and express the result in standard form.
48076	Evaluate the Function	f(x)=\|1-5x\| , f(9)	$f (x) = \| 1 - 5 x \|$ , $f (9)$
48077	Simplify	7/(8n)*2n	$\frac{7}{8 n} \cdot 2 n$
48078	Combine Like Terms	-3+7x^2-4x-5+3x^2-2x	$- 3 + 7 x^{2} - 4 x - 5 + 3 x^{2} - 2 x$
48079	Find the Domain and Range	f(x,y)=4	$f (x, y) = 4$
48080	Find the Derivative - d/dy	1/(x^2+y^2)	$\frac{1}{x^{2} + y^{2}}$
48081	Evaluate the Limit	limit as x approaches 3 of (2x^2-5x-12)/(6-x-x^2)	$lim_{x \to 3} \frac{2 x^{2} - 5 x - 12}{6 - x - x^{2}}$
48082	Calculate the Square Root	-27/216	$- \frac{27}{216}$
48083	Simplify	(-3/5)/(4/5)	$\frac{- \frac{3}{5}}{\frac{4}{5}}$
48084	Divide	(6/5)÷(-12/25)	$\frac{6}{5} \div (- \frac{12}{25})$
48085	Evaluate	(x^2y^-4y^-8)/(x^3)	$\frac{x^{2} y^{- 4} y^{- 8}}{x^{3}}$
48086	Graph	x/(x+4)>=2	$\frac{x}{x + 4} \geq 2$
48087	Solve for y	(5+y)/(y-3)=14/10	$\frac{5 + y}{y - 3} = \frac{14}{10}$
48088	Find the LCM	21 and 6	$21$ and $6$
48089	Rationalize the Denominator	(2 square root of 5x)/( square root of 7y^2)	$\frac{2 \sqrt{5 x}}{\sqrt{7 y^{2}}}$
48090	Solve for t	t^2-8t+16=0	$t^{2} - 8 t + 16 = 0$
48091	Solve the Function Operation	Center=(3,4) , radius=2	$C e n t e r = (3, 4)$ , $r a d i u s = 2$
48092	Evaluate	67/(tan(42))	$\frac{67}{\tan (42)}$
48093	Solve for x in Degrees	2sin(x)^2-cos(x)^2=2	$2 \sin^{2} (x) - \cos^{2} (x) = 2$
48094	Multiply	(3y-4)(5y+2)(2y-1)	$(3 y - 4) (5 y + 2) (2 y - 1)$
48095	Solve the Rational Equation for x	1+x/(x+7)=-7/(x+7)	$1 + \frac{x}{x + 7} = - \frac{7}{x + 7}$
48096	Write in Standard Form	9x^2+y^2+144x=-567	$9 x^{2} + y^{2} + 144 x = - 567$
48097	Simplify	((2x^-3y^4)/(3x^-4y^2))^-2	${(\frac{2 x^{- 3} y^{4}}{3 x^{- 4} y^{2}})}^{- 2}$
48098	Solve for x	square root of 5+4x+ square root of 2x+3=2	$\sqrt{5 + 4 x} + \sqrt{2 x + 3} = 2$
48099	Graph	f(x)=x!	$f (x) = x!$
48100	Simplify	(3+6x^2-6x)-(8-8x+3x^2)	$(3 + 6 x^{2} - 6 x) - (8 - 8 x + 3 x^{2})$