Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
22001	Simplify	(54x^8y^-3)/(-6x^6y^-5)	$\frac{54 x^{8} y^{- 3}}{- 6 x^{6} y^{- 5}}$
22002	Solve the Rational Equation for x	square root of x+11=x+5	$\sqrt{x} + 11 = x + 5$
22003	Solve for d	A=pi(d/2)^2	$A = π {(\frac{d}{2})}^{2}$
22004	Evaluate	(6+- square root of 36-(4)25)/4	$\frac{6 + - \sqrt{36 - (4) \cdot 2 \cdot 5}}{4}$
22005	Convert to a Decimal	cos(315)deg	$\cos (315)$ degrees
22006	Evaluate Using the Given Value	1 , 125=9x^3	$1$ , $125 = 9 x^{3}$
22007	Simplify	(1-x^2)/(x(1-x))	$\frac{1 - x^{2}}{x (1 - x)}$
22008	Solve the Rational Equation for y	square root of 2y+3+4=2	$\sqrt{2 y + 3} + 4 = 2$
22009	Simplify	(8-2i)+(13+i)-(1-5i)	$(8 - 2 i) + (13 + i) - (1 - 5 i)$
22010	Solve for t	p(t)=5000+1000t^2	$p (t) = 5000 + 1000 t^{2}$
22011	Find the Cosecant Given the Point	(( square root of 10)/10,-(3 square root of 10)/10)	$(\frac{\sqrt{10}}{10}, - \frac{3 \sqrt{10}}{10})$
22012	Solve for b	a=1/2(b-c)	$a = \frac{1}{2} (b - c)$
22013	Graph	7 square root of 3x+9-12<=30	$7 \sqrt{3 x + 9} - 12 \leq 30$
22014	Solve for y	(y^2-17)^2-16(y^2-17)=-64	${(y^{2} - 17)}^{2} - 16 (y^{2} - 17) = - 64$
22015	Evaluate	(3^-2a^-1)/(9^-1b^-2c^0)	$\frac{3^{- 2} a^{- 1}}{9^{- 1} b^{- 2} c^{0}}$
22016	Find the Inverse	f(x)=b(x+a)^3+c	$f (x) = b {(x + a)}^{3} + c$
22017	Write as a Single Logarithm	log base 2 of x+ log base 2 of x+ log base 2 of 4	$\log_{2} (x) + \log_{2} (x) + \log_{2} (4)$
22018	Find the Exact Value	tan(70 degrees )-(sin(70 degrees ))/(cos(70 degrees ))	$\tan (70 °) - \frac{\sin (70 °)}{\cos (70 °)}$
22019	Evaluate	square root of 144(x+9)^10	$\sqrt{144 {(x + 9)}^{10}}$
22020	Simplify	log base 8 of (1/64)^3	$\log_{8} ({(\frac{1}{64})}^{3})$
22021	Find the Asymptotes	((x^3+5)(2x-1))/((x^2-4)(x^2+4))	$\frac{(x^{3} + 5) (2 x - 1)}{(x^{2} - 4) (x^{2} + 4)}$
22022	Simplify	(x^4y)^(1/2)+(xy^(1/4))^2	${(x^{4} y)}^{\frac{1}{2}} + {(x y^{\frac{1}{4}})}^{2}$
22023	Simplify	(2x+5)/(x^3)-(x+2)/(x^2)	$\frac{2 x + 5}{x^{3}} - \frac{x + 2}{x^{2}}$
22024	Graph	y=2x y=-2x+8	$y = 2 x$ $y = - 2 x + 8$
22025	Write in y=mx+b Form	(-10,-7) and (-5,-9)	$(- 10, - 7)$ and $(- 5, - 9)$
22026	Solve the Inequality for x	2<3x-4<=19	$2 < 3 x - 4 \leq 19$
22027	Simplify	( sixth root of s^4t^9)/( cube root of st)	$\frac{\sqrt[6]{s^{4} t^{9}}}{\sqrt[3]{s t}}$
22028	Solve the System of Equations	8-2d=c 4c+3d=2	$8 - 2 d = c$ $4 c + 3 d = 2$
22029	Write the Fraction in Simplest Form	(15d^-9t^4)/((5d^-3t)^-2)	$\frac{15 d^{- 9} t^{4}}{{(5 d^{- 3} t)}^{- 2}}$
22030	Simplify	4^3x^2(4/x)^-2	$4^{3} \cdot x^{2} \cdot {(\frac{4}{x})}^{- 2}$
22031	Solve for a	a^2+11a=-18	$a^{2} + 11 a = - 18$
22032	Write in Standard Form	(8-2i^4)+(3-7i^8)-(4+i^9)	$(8 - 2 i^{4}) + (3 - 7 i^{8}) - (4 + i^{9})$
22033	Find the Product	(w+5)(w^2+3w)	$(w + 5) (w^{2} + 3 w)$
22034	Solve for x	2xe^(2x)+e^(2x)=0	$2 x e^{2 x} + e^{2 x} = 0$
22035	Find the Asymptotes	f(x)=(2x^2-4x)/(x^2+4x+4)	$f (x) = \frac{2 x^{2} - 4 x}{x^{2} + 4 x + 4}$
22036	Find the Slope	(9,-2) and (-3,2)	$(9, - 2)$ and $(- 3, 2)$
22037	Find the Maximum/Minimum Value	f(x)=-x^4+x^3+2x^2	$f (x) = - x^{4} + x^{3} + 2 x^{2}$
22038	Evaluate the Function	f(-5)=3x^4+x^3-2x^2+x+12	$f (- 5) = 3 x^{4} + x^{3} - 2 x^{2} + x + 12$
22039	Multiply	(w+5)(w^2+3w)	$(w + 5) (w^{2} + 3 w)$
22040	Find the Equation Using Point-Slope Formula	(9,-2) and (-3,2)	$(9, - 2)$ and $(- 3, 2)$
22041	Solve the Function Operation	f(x)=x+7 , f(5)	$f (x) = x + 7$ , $f (5)$
22042	Evaluate the Limit	limit as x approaches infinity of ( square root of x+5- square root of 5)/( square root of x- square root of 5)	$lim_{x \to \infty} \frac{\sqrt{x + 5} - \sqrt{5}}{\sqrt{x} - \sqrt{5}}$
22043	Find the Antiderivative	(20x^2-30x+7)/( square root of 2x-3)	$\frac{20 x^{2} - 30 x + 7}{\sqrt{2 x - 3}}$
22044	Solve for y	x=1/3( fourth root of y)	$x = \frac{1}{3} (\sqrt[4]{y})$
22045	Factor	x^2y-3x^2+5xy-15x	$x^{2} y - 3 x^{2} + 5 x y - 15 x$
22046	Find the Exact Value	3 2/5+4/3	$3 \frac{2}{5} + \frac{4}{3}$
22047	Simplify	square root of 3+ square root of 5-4 square root of 3+6 square root of 5	$\sqrt{3} + \sqrt{5} - 4 \sqrt{3} + 6 \sqrt{5}$
22048	Solve for x	1-2/(x-6)=(3x+2)/(x^2-36)	$1 - \frac{2}{x - 6} = \frac{3 x + 2}{x^{2} - 36}$
22049	Write the Fraction in Simplest Form	(3a^9r^-3)/(-4(a^2)^-1)	$\frac{3 a^{9} r^{- 3}}{- 4 {(a^{2})}^{- 1}}$
22050	Simplify	((y+2)/(4y^2))/((3y+6)/(2y^3))	$\frac{\frac{y + 2}{4 y^{2}}}{\frac{3 y + 6}{2 y^{3}}}$
22051	Solve the Inequality for p	p/8>=-5	$\frac{p}{8} \geq - 5$
22052	Divide	( square root of 200)÷( square root of 5)	$\sqrt{200} \div \sqrt{5}$
22053	Subtract	(4x^2+x-5)-(5x^2-1)	$(4 x^{2} + x - 5) - (5 x^{2} - 1)$
22054	Simplify the Radical Expression	(p^(3/2))^-2	${(p^{\frac{3}{2}})}^{- 2}$
22055	Solve for x	5x<=23	$5 x \leq 23$
22056	Solve the Inequality for d	d/13>=-3	$\frac{d}{13} \geq - 3$
22057	Simplify the Radical Expression	3/( fifth root of 8)	$\frac{3}{\sqrt[5]{8}}$
22058	Convert to a Decimal	The height of a triangle is (7- square root of 2)cm What is the Conjugate of the height	The height of a triangle is $(7 - \sqrt{2})$ $centimeters$ What is the Conjugate of the height?
22059	Find dy/dx	xy^2+4+y=-x^3	$x y^{2} + 4 + y = - x^{3}$
22060	Evaluate the Integral	integral of 3x(2x-1)^2 with respect to x	$\int 3 x {(2 x - 1)}^{2} d x$
22061	Solve the Inequality for x	cube root of x-5>=3	$\sqrt[3]{x - 5} \geq 3$
22062	Solve for x	2/x=-7/(x-4)	$\frac{2}{x} = - \frac{7}{x - 4}$
22063	Solve the System of Equations	-4y=8 x+3y-3z=-26 2x-5y+z=19	$- 4 y = 8$ $x + 3 y - 3 z = - 26$ $2 x - 5 y + z = 19$
22064	Evaluate	e^(4/3 natural log of 2-1)	$e^{\frac{4}{3} \ln (2) - 1}$
22065	Simplify	7+10x-x+(-x)	$7 + 10 x - x + (- x)$
22066	Simplify	(x/(1+x))/(1+x/(1+x))	$\frac{\frac{x}{1 + x}}{1 + \frac{x}{1 + x}}$
22067	Solve the Inequality for x	(x/3+2)<4	$(\frac{x}{3} + 2) < 4$
22068	Solve using Gaussian Elimination	5x_1-4x_2=-8 3x_1-2x_2=-2	$5 x_{1} - 4 x_{2} = - 8$ $3 x_{1} - 2 x_{2} = - 2$
22069	Divide Using Synthetic Division	Use synthetic division to find the result when x^3+10x^2+19x+6 is divided by x+2	Use synthetic division to find the result when $x^{3} + 10 x^{2} + 19 x + 6$ is divided by $x + 2$
22070	Evaluate the Integral	integral of 1/((1-x^2)^(3/2)) with respect to x	$\int \frac{1}{{(1 - x^{2})}^{\frac{3}{2}}} d x$
22071	Evaluate the Integral	integral of x^3 square root of 4+x^2 with respect to x	$\int x^{3} \sqrt{4 + x^{2}} d x$
22072	Simplify	-12a^4b^2*3ab^3c^2	$- 12 a^{4} b^{2} \cdot 3 a b^{3} c^{2}$
22073	Simplify	(9*10^-3)^2	${(9 \times 10^{- 3})}^{2}$
22074	Find the Derivative - d/dx	y=(2x+3)^-3	$y = {(2 x + 3)}^{- 3}$
22075	Identify the Zeros and Their Multiplicities	-x(3x-2)^2(x+9)^5	$- x {(3 x - 2)}^{2} {(x + 9)}^{5}$
22076	Graph	y=1/2tan(x)-1/2	$y = \frac{1}{2} \tan (x) - \frac{1}{2}$
22077	Find Where Increasing/Decreasing	y=-1/2x^3	$y = - \frac{1}{2} x^{3}$
22078	Multiply	(5 square root of 2+4)(5 square root of 2-4)	$(5 \sqrt{2 + 4}) (5 \sqrt{2 - 4})$
22079	Evaluate	(2a+5)/5=(3a+11)/4	$\frac{2 a + 5}{5} = \frac{3 a + 11}{4}$
22080	Solve for X	square root of 4X-11-2 square root of X=1	$\sqrt{4 X - 11} - 2 \sqrt{X} = 1$
22081	Simplify	cos(-x)csc(pi/2-x)	$\cos (- x) \csc (\frac{π}{2} - x)$
22082	Simplify	x/(2x+1)-3/(x+2)	$\frac{x}{2 x + 1} - \frac{3}{x + 2}$
22083	Multiply	square root of 5x* square root of 5x	$\sqrt{5 x} \cdot \sqrt{5 x}$
22084	Find the Slope	(-8,-1) and (-6,5)	$(- 8, - 1)$ and $(- 6, 5)$
22085	Simplify	(1/((x-1)^2))÷(x/(x^2-1))	$\frac{1}{{(x - 1)}^{2}} \div \frac{x}{x^{2} - 1}$
22086	Find the Slope	4-3x=y	$4 - 3 x = y$
22087	Simplify	-(5/7)^3	$- {(\frac{5}{7})}^{3}$
22088	Solve the Function Operation	f(x)=4x+5 Find f(f(-1))	$f (x) = 4 x + 5$ Find $f (f (- 1))$
22089	Graph	-7x+3y>-1 5x-9y>-6	$- 7 x + 3 y > - 1$ $5 x - 9 y > - 6$
22090	Find the Domain and Range	g(x) = square root of 1/3(x-1)	$g (x) = \sqrt{\frac{1}{3} (x - 1)}$
22091	Verify the Identity	cos(x-pi/4)=( square root of 2)/2(cos(x)+sin(x))	$\cos (x - \frac{π}{4}) = \frac{\sqrt{2}}{2} (\cos (x) + \sin (x))$
22092	Simplify	(5x^3-2x)(3x^2+x-8)	$(5 x^{3} - 2 x) (3 x^{2} + x - 8)$
22093	Simplify	49^(2/10)*7^(1/5)	$49^{\frac{2}{10}} \cdot 7^{\frac{1}{5}}$
22094	Solve for a	16a^2+21a+9=6a^2	$16 a^{2} + 21 a + 9 = 6 a^{2}$
22095	Simplify	square root of 8x^2+2x square root of 2- square root of 20x	$\sqrt{8 x^{2}} + 2 x \sqrt{2} - \sqrt{20 x}$
22096	Multiply	(4x^2-y^2)/(8x^2+10xy+3y^2)*(4x^2-9xy-9y^2)/(2x^2-5xy-3y^2)	$\frac{4 x^{2} - y^{2}}{8 x^{2} + 10 x y + 3 y^{2}} \cdot \frac{4 x^{2} - 9 x y - 9 y^{2}}{2 x^{2} - 5 x y - 3 y^{2}}$
22097	Solve the Inequality for x	x^2+14x-14>9x	$x^{2} + 14 x - 14 > 9 x$
22098	Graph	(5,6) and (0,11)	$(5, 6)$ and $(0, 11)$
22099	Simplify	6.2+8.9w-12-11.2w-6.2	$6.2 + 8.9 w - 12 - 11.2 w - 6.2$
22100	Multiply	(b+4a)^2	${(b + 4 a)}^{2}$