Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
37101	Divide Using Synthetic Division	(x^4y^4-x^3y^3-2x^2y^2+xy-5)÷(-xy-2)	$(x^{4} y^{4} - x^{3} y^{3} - 2 x^{2} y^{2} + x y - 5) \div (- x y - 2)$
37102	Evaluate	square root of -2x-5-4=x	$\sqrt{- 2 x - 5} - 4 = x$
37103	Find the Domain	((4m^2-25n^2)/(m^3+8))÷((2m+5n)/(m^2-2m+4))	$\frac{4 m^{2} - 25 n^{2}}{m^{3} + 8} \div \frac{2 m + 5 n}{m^{2} - 2 m + 4}$
37104	Simplify	-3(-3)^3-2	$- 3 {(- 3)}^{3} - 2$
37105	Rationalize the Denominator	x/(2- square root of 3)	$\frac{x}{2 - \sqrt{3}}$
37106	Evaluate from the Right	limit as x approaches 2 of 1+3x	$lim_{x \to 2} 1 + 3 x$
37107	Evaluate	(2\|-8\|)/-8	$\frac{2 \| - 8 \|}{- 8}$
37108	Write in Standard Form	square root of -16+ square root of -64	$\sqrt{- 16} + \sqrt{- 64}$
37109	Find the Prime Factorization	Find the prime factorization of 210	Find the prime factorization of $210$
37110	Multiply	1/4(8mn)(-6m^2n^2)	$\frac{1}{4} (8 m n) (- 6 m^{2} n^{2})$
37111	Find the Derivative - d/dx	natural log of ( square root of 4+x^2)/x	$\ln (\frac{\sqrt{4 + x^{2}}}{x})$
37112	Simplify	(2/3x^(-1/3))^2	${(\frac{2}{3} x^{- \frac{1}{3}})}^{2}$
37113	Solve the Inequality for b	b/9-34<-36	$\frac{b}{9} - 34 < - 36$
37114	Rationalize the Denominator	(9-3 square root of 15)/(12-4 square root of 15)	$\frac{9 - 3 \sqrt{15}}{12 - 4 \sqrt{15}}$
37115	Graph	f(x)=-1/2* natural log of x+3	$f (x) = - \frac{1}{2} \cdot \ln (x + 3)$
37116	Find the Inverse	f(x) = cube root of 5^x+9	$f (x) = \sqrt[3]{5^{x}} + 9$
37117	Combine Like Terms	2(1-3r)+5r	$2 (1 - 3 r) + 5 r$
37118	Solve the System of Equations	5x+2y+z=4 x+2z=4 2x+y-z=-1	$5 x + 2 y + z = 4$ $x + 2 z = 4$ $2 x + y - z = - 1$
37119	Simplify	z/(Z^0)	$\frac{z}{Z^{0}}$
37120	Find the Domain and Range	x=y	$x = y$
37121	Simplify	(a^-2b^8)/(a^5b^-2c^3)	$\frac{a^{- 2} b^{8}}{a^{5} b^{- 2} c^{3}}$
37122	Add	(x^4-2)/(x^2-2)+2/(-x^2+2)	$\frac{x^{4} - 2}{x^{2} - 2} + \frac{2}{- x^{2} + 2}$
37123	Factor	y=x^3+125	$y = x^{3} + 125$
37124	Find the Area Between the Curves	y=tan(5x) , y=2sin(5x) , -pi/15<=x<=pi/15	$y = \tan (5 x)$ , $y = 2 \sin (5 x)$ , $- \frac{π}{15} \leq x \leq \frac{π}{15}$
37125	Solve the Rational Equation for x	9/(3x)=4/(x+2)	$\frac{9}{3 x} = \frac{4}{x + 2}$
37126	Write in Standard Form	-y-10=6x	$- y - 10 = 6 x$
37127	Divide Using Long Polynomial Division	4x^3-22x^2+20x-9 divided by 2x-9	$4 x^{3} - 22 x^{2} + 20 x - 9$ divided by $2 x - 9$
37128	Add	-9/(x+3)+(x^2)/(x+3)	$- \frac{9}{x + 3} + \frac{x^{2}}{x + 3}$
37129	Factor by Grouping	x^3+2x^2+x	$x^{3} + 2 x^{2} + x$
37130	Solve the System of Inequalities	2x+4y<=6 y>=2	$2 x + 4 y \leq 6$ $y \geq 2$
37131	Find the First Term	a_n=-11(n-1)-6	$a_{n} = - 11 (n - 1) - 6$
37132	Simplify the Radical Expression	square root of 72- square root of 50+3 square root of 8	$\sqrt{72} - \sqrt{50} + 3 \sqrt{8}$
37133	Find the Roots (Zeros)	1/3x^4=27	$\frac{1}{3} x^{4} = 27$
37134	Find dy/dx	y=(x^2-4)/(5x-3)	$y = \frac{x^{2} - 4}{5 x - 3}$
37135	Evaluate the Function	5^x=15 , 625	$5^{x} = 15$ , $625$
37136	Solve for x	2/3(x-5/4)=-1/3	$\frac{2}{3} (x - \frac{5}{4}) = - \frac{1}{3}$
37137	Rationalize the Denominator	y/( square root of 5x)	$\frac{y}{\sqrt{5 x}}$
37138	Simplify	3(2r+4r^2-7r+4r^2)	$3 (2 r + 4 r^{2} - 7 r + 4 r^{2})$
37139	Find the Domain	( square root of x-3)/(x-9)	$\frac{\sqrt{x} - 3}{x - 9}$
37140	Solve the Rational Equation for x	cube root of x^2=9	$\sqrt[3]{x^{2}} = 9$
37141	Find the x and y Intercepts	f(x)=1/( square root of x-9)	$f (x) = \frac{1}{\sqrt{x - 9}}$
37142	Solve for x	2x=-3x-2(x-3.1)-5.5	$2 x = - 3 x - 2 (x - 3.1) - 5.5$
37143	Simplify	-9/(x+3)+(x^2)/(x+3)	$- \frac{9}{x + 3} + \frac{x^{2}}{x + 3}$
37144	Write in Slope-Intercept Form	(7,0) and (-2,6)	$(7, 0)$ and $(- 2, 6)$
37145	Simplify	(40x^2 square root of x^12)÷10x^2 square root of 29x^8	$40 x^{2} \sqrt{x^{12}} \div 10 x^{2} \sqrt{29 x^{8}}$
37146	Simplify	3 square root of 5a*-3 square root of 20a^3	$3 \sqrt{5 a} \cdot - 3 \sqrt{20 a^{3}}$
37147	Convert from Radians to Degrees	2/(3pi)	$\frac{2}{3 π}$
37148	Write as a Single Logarithm	natural log of 30+2 natural log of 5- natural log of 15	$\ln (30) + 2 \ln (5) - \ln (15)$
37149	Find the Derivative - d/dx	cosh(x)^2	$\cosh^{2} (x)$
37150	Simplify	(x/(y^2))^5((x^2y^3)/(z^2))^3	${(\frac{x}{y^{2}})}^{5} {(\frac{x^{2} y^{3}}{z^{2}})}^{3}$
37151	Write in Exponential Form	a root of b root of x	$\sqrt[a]{\sqrt[b]{x}}$
37152	Graph	y=1/2 cube root of x-1+3	$y = \frac{1}{2} \sqrt[3]{x - 1} + 3$
37153	Simplify	cube root of square root of 64x^3	$\sqrt[3]{\sqrt{64 x^{3}}}$
37154	Evaluate	75% of 80	$75 %$ of $80$
37155	Find dy/dx	y=-2x^4 square root of 4x+5	$y = - 2 x^{4} \sqrt{4 x + 5}$
37156	Simplify the Radical Expression	square root of 7x^2y	$\sqrt{7 x^{2} y}$
37157	Solve for z	y=2wz-2wx-2xz	$y = 2 w z - 2 w x - 2 x z$
37158	Find dy/dx	y=e^(-x/2)	$y = e^{- \frac{x}{2}}$
37159	Graph	slope of 2	slope of $2$
37160	Divide Using Long Polynomial Division	Use the long division method to find the result when 4x^3+10x^2-14x-15 is divided by 2x-3	Use the long division method to find the result when $4 x^{3} + 10 x^{2} - 14 x - 15$ is divided by $2 x - 3$
37161	Simplify	10 root of fifth root of x^20	$\sqrt[10]{\sqrt[5]{x^{20}}}$
37162	Evaluate the Integral	integral of (1-x-y)^2 with respect to y	$\int {(1 - x - y)}^{2} d y$
37163	Evaluate Using L'Hospital's Rule	limit as x approaches 0 of (3x^2+x)/(4sin(2x)-3x)	$lim_{x \to 0} \frac{3 x^{2} + x}{4 \sin (2 x) - 3 x}$
37164	Solve for x	(3x+9)/2+(x+1)/5=x+4	$\frac{3 x + 9}{2} + \frac{x + 1}{5} = x + 4$
37165	Solve for x	5(1/2x+2)=4(x-2)	$5 (\frac{1}{2} x + 2) = 4 (x - 2)$
37166	Solve the Function Operation	f(x)=10 cube root of x-5 ; find f^-1(x)	$f (x) = 10 \sqrt[3]{x} - 5$ ; find $f^{- 1} (x)$
37167	Find the Derivative - d/dx	(x+y)^2(x-y)^2=x^4+y^4	${(x + y)}^{2} {(x - y)}^{2} = x^{4} + y^{4}$
37168	Find the Exact Value	3((7+8)2+6)	$3 \cdot ((7 + 8) \cdot 2 + 6)$
37169	Find the Equation of the Circle	center at (0,0) ; radius 3	center at $(0, 0)$ ; radius $3$
37170	Simplify	(8(3x+10)-1)/((3x+10)+4)	$\frac{8 (3 x + 10) - 1}{(3 x + 10) + 4}$
37171	Verify the Identity	x^2-y^2=(x-y)(x+y)	$x^{2} - y^{2} = (x - y) (x + y)$
37172	Simplify	(x-4)(2x-1)(2x+1)(x-1)	$(x - 4) (2 x - 1) (2 x + 1) (x - 1)$
37173	Simplify	( cube root of 8+ cube root of 4)( cube root of 64- cube root of 32+ cube root of 16)	$(\sqrt[3]{8} + \sqrt[3]{4}) (\sqrt[3]{64} - \sqrt[3]{32} + \sqrt[3]{16})$
37174	Find the Domain	f(x)=x+2 if x<=2; x^2 if x>2	$f (x) = {\begin{cases} x + 2 & x \leq 2 \\ x^{2} & x > 2 \end{cases}$
37175	Evaluate the Integral	integral of sin(x/2)cos(x/2) with respect to x	$\int \sin (\frac{x}{2}) \cos (\frac{x}{2}) d x$
37176	Evaluate the Integral	integral from -a to a of f(x) with respect to x	$\int_{- a}^{a} f (x) d x$
37177	Find All Complex Solutions	3x-5=x+3	$3 x - 5 = x + 3$
37178	Solve for x	5-1/2x=5/8x+2	$5 - \frac{1}{2} x = \frac{5}{8} x + 2$
37179	Write the Fraction in Simplest Form	(3x)^-3	${(3 x)}^{- 3}$
37180	Solve for Y	X=Z/Y	$X = \frac{Z}{Y}$
37181	Solve for y	M=(x-y)/5	$M = \frac{x - y}{5}$
37182	Find the Equation Given the Roots	1 and -4i	$1$ and $- 4 i$
37183	Solve Over the Interval	sin(3x)=1 , 0<=x<2pi	$\sin (3 x) = 1$ , $0 \leq x < 2 π$
37184	Divide Using Synthetic Division	(5x^3-25x^2+6x^4-30x^3)÷(x+5)	$(5 x^{3} - 25 x^{2} + 6 x^{4} - 30 x^{3}) \div (x + 5)$
37185	Evaluate the Integral	integral from 1 to 4 of (3 square root of x-2/x) with respect to x	$\int_{1}^{4} (3 \sqrt{x} - \frac{2}{x}) d x$
37186	Integrate By Parts	integral from 1 to e of x^3 natural log of x with respect to x	$\int_{1}^{e} x^{3} \ln (x) d x$
37187	Find the Area	circle (2km)	 $\begin{array}{r} r = & 2 km \end{array}$
37188	Simplify	(3x+x^2-x^3)-(x^3+2x^2+5x)	$(3 x + x^{2} - x^{3}) - (x^{3} + 2 x^{2} + 5 x)$
37189	Evaluate the Function	h(x)=17+x/6	$h (x) = 17 + \frac{x}{6}$
37190	Multiply	(12a^2-3)/2(2a+1)^-2(6/(2a+1))^-1	$\frac{12 a^{2} - 3}{2} \cdot {(2 a + 1)}^{- 2} \cdot {(\frac{6}{(2 a + 1)})}^{- 1}$
37191	Simplify	4x+x(13-7)	$4 x + x (13 - 7)$
37192	Evaluate	6(2r+(-1))+1	$6 (2 r + (- 1)) + 1$
37193	Graph	f(x)> square root of 2x-1-3	$f (x) > \sqrt{2 x - 1} - 3$
37194	Write in Slope-Intercept Form	x-3y<0	$x - 3 y < 0$
37195	Find the Domain and Range	f(x)=tan(x-pi)	$f (x) = \tan (x - π)$
37196	Find the Slope and y-intercept	5=10x-5y	$5 = 10 x - 5 y$
37197	Verify the Identity	(2+csc(A))/(sec(A))-2cos(A)=cot(A)	$\frac{2 + \csc (A)}{\sec (A)} - 2 \cos (A) = \cot (A)$
37198	Solve the System of Equations	5y=2-6x y-2x=10	$5 y = 2 - 6 x$ $y - 2 x = 10$
37199	Simplify	(x/2+x/3)*6/x	$(\frac{x}{2} + \frac{x}{3}) \cdot \frac{6}{x}$
37200	Simplify	-4/(9-x^2)(x^2-9)/(24x-4x^2)(x^2-36)/(x^2+9x+18)	$\frac{- 4}{9 - x^{2}} \cdot \frac{x^{2} - 9}{24 x - 4 x^{2}} \cdot \frac{x^{2} - 36}{x^{2} + 9 x + 18}$