Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
33901	Evaluate the Function	f(x)=(x+1)^(1/3) at x=0	$f (x) = {(x + 1)}^{\frac{1}{3}}$ at $x = 0$
33902	Divide	(2xh+h^2)/h	$\frac{2 x h + h^{2}}{h}$
33903	Graph	x^4-2x^3+x^2	$x^{4} - 2 x^{3} + x^{2}$
33904	Divide Using Long Polynomial Division	Use the long division method to find the result when 6x^3+11x^2+24x+7 is divided by 3x+1	Use the long division method to find the result when $6 x^{3} + 11 x^{2} + 24 x + 7$ is divided by $3 x + 1$
33905	Solve by Factoring	a^2+2ab+b^2=(a+b)^2	$a^{2} + 2 a b + b^{2} = {(a + b)}^{2}$
33906	Solve the Inequality for b	-5(2-b)<=7(b+2)	$- 5 (2 - b) \leq 7 (b + 2)$
33907	Find the x and y Intercepts	y=x^2(x^2-7)(2x+3)	$y = x^{2} (x^{2} - 7) (2 x + 3)$
33908	Divide	((x^2+3x-28)/(x^2+4x+4))÷((x^2-49)/(x^2-5x-14))	$\frac{x^{2} + 3 x - 28}{x^{2} + 4 x + 4} \div \frac{x^{2} - 49}{x^{2} - 5 x - 14}$
33909	Evaluate the Limit	limit as x approaches 0 of 2cos(x)+(x-4)/(x^2+1)	$lim_{x \to 0} 2 \cos (x) + \frac{x - 4}{x^{2} + 1}$
33910	Solve the System of Inequalities	y>=3/2x-5 y<=-x+5	$y \geq \frac{3}{2} x - 5$ $y \leq - x + 5$
33911	Simplify	f(x)=(x^2-4)/(x+2)	$f (x) = \frac{x^{2} - 4}{x + 2}$
33912	Solve for x	4x-3=8^(x-2)	$4 x - 3 = 8^{x - 2}$
33913	Solve the Inequality for x	2x-2+2x>=4x-9	$2 x - 2 + 2 x \geq 4 x - 9$
33914	Simplify	(-(5a)/3)^-3	${(- \frac{5 a}{3})}^{- 3}$
33915	Simplify	(4x^(4/3)y)/( cube root of 64x^5y^4)	$\frac{4 x^{\frac{4}{3}} y}{\sqrt[3]{64 x^{5} y^{4}}}$
33916	Find All Complex Solutions	square root of x^2-6x+9+2x=9	$\sqrt{x^{2} - 6 x + 9} + 2 x = 9$
33917	Graph	y<=-3/2x+6	$y \leq \frac{- 3}{2} x + 6$
33918	Solve the Inequality for h	-32>1.6h	$- 32 > 1.6 h$
33919	Solve the System of Equations	-8x+y+2z=-7 x+y+5z=-10 3x-y+z=-10	$- 8 x + y + 2 z = - 7$ $x + y + 5 z = - 10$ $3 x - y + z = - 10$
33920	Multiply	3*2/6	$3 \cdot \frac{2}{6}$
33921	Evaluate	(1-(7-2))^2-4^2	${(1 - (7 - 2))}^{2} - 4^{2}$
33922	Divide Using Long Polynomial Division	Use the long division method to find the result when x^3+10x^2+26x+20 is divided by x+2	Use the long division method to find the result when $x^{3} + 10 x^{2} + 26 x + 20$ is divided by $x + 2$
33923	Solve for x	(x-7)^2=64/49	${(x - 7)}^{2} = \frac{64}{49}$
33924	Find the Derivative - d/dz	y = cube root of 1-8z	$y = \sqrt[3]{1 - 8 z}$
33925	Find the Antiderivative	3^(4-11x)	$3^{4 - 11 x}$
33926	Solve the Rational Equation for x	3/(x+1)-2/(x-1)=1/(x^2-1)	$\frac{3}{x + 1} - \frac{2}{x - 1} = \frac{1}{x^{2} - 1}$
33927	Find the Antiderivative	f(x)=1/(4 square root of x)-x^2	$f (x) = \frac{1}{4 \sqrt{x}} - x^{2}$
33928	Solve for x	7^(x-1)>49^x	$7^{x - 1} > 49^{x}$
33929	Add	1x+1x	$1 x + 1 x$
33930	Graph	y>=5x-1 and y<=-3x+4	$y \geq 5 x - 1$ and $y \leq - 3 x + 4$
33931	Verify the Identity	cot(theta)+1=csc(theta)(cos(theta)+sin(theta))	$\cot (θ) + 1 = \csc (θ) (\cos (θ) + \sin (θ))$
33932	Solve the Inequality for x	\|(-2x+9)(x-1)\|<5\|x-1\|	$\| (- 2 x + 9) (x - 1) \| < 5 \| x - 1 \|$
33933	Solve for n	log of 3=n	$\log (3) = n$
33934	Solve for t	75t=7(4t+8)+33t	$75 t = 7 (4 t + 8) + 33 t$
33935	Solve for x	x/4+x/6=5/4	$\frac{x}{4} + \frac{x}{6} = \frac{5}{4}$
33936	Simplify	15(2x^0+3^0)	$15 (2 x^{0} + 3^{0})$
33937	Solve for x	x+9/2=4	$x + \frac{9}{2} = 4$
33938	Solve by Graphing	x+y=-6 y=x	$x + y = - 6$ $y = x$
33939	Solve for x	(1/16)^(x+7)*64^(x+5)=(1/32)^4	${(\frac{1}{16})}^{x + 7} \cdot 64^{x + 5} = {(\frac{1}{32})}^{4}$
33940	Evaluate the Integral	integral of 2/((6-x)^(3/2)) with respect to x	$\int \frac{2}{{(6 - x)}^{\frac{3}{2}}} d x$
33941	Divide Using Synthetic Division	Use synthetic division to find the result when 2x^4+4x^3-x^2+25x+30 is divided by x+3	Use synthetic division to find the result when $2 x^{4} + 4 x^{3} - x^{2} + 25 x + 30$ is divided by $x + 3$
33942	Evaluate the Limit	limit as x approaches infinity of (7x^3-4x+2x^2)/(5x^3-3x^2)	$lim_{x \to \infty} \frac{7 x^{3} - 4 x + 2 x^{2}}{5 x^{3} - 3 x^{2}}$
33943	Find the Derivative - d/dx	e^(2x)dx	$e^{2 x} d x$
33944	Find the Inflection Points	1/6x^4-2x^3-7x^2	$\frac{1}{6} x^{4} - 2 x^{3} - 7 x^{2}$
33945	Find the Third Derivative	f(x)=-1/3x^-2+1-3/20x^6+4/9x	$f (x) = - \frac{1}{3} x^{- 2} + 1 - \frac{3}{20} x^{6} + \frac{4}{9} x$
33946	Find the Distance Between Two Points	(-4,1) and (2,9)	$(- 4, 1)$ and $(2, 9)$
33947	Solve the Inequality for x	(2x)/(x-2)<3	$\frac{2 x}{x - 2} < 3$
33948	Simplify the Radical Expression	( cube root of 16)( cube root of 4)	$(\sqrt[3]{16}) (\sqrt[3]{4})$
33949	Find the LCM	4 and 12	$4$ and $12$
33950	Simplify	5x^1010x^9-5x^6	$5 x^{10} \cdot 10 x^{9} \cdot - 5 x^{6}$
33951	Multiply	(x^2-4)/(x^2+2x-8)*(8x+32)/(x^4+x^3)	$\frac{x^{2} - 4}{x^{2} + 2 x - 8} \cdot \frac{8 x + 32}{x^{4} + x^{3}}$
33952	Solve the Inequality for x	2x^2+x-9>=-3	$2 x^{2} + x - 9 \geq - 3$
33953	Write in y=mx+b Form	(-10,3) and (-8,-8)	$(- 10, 3)$ and $(- 8, - 8)$
33954	Simplify	1/( square root of 3)+ square root of 3	$\frac{1}{\sqrt{3}} + \sqrt{3}$
33955	Evaluate the Integral	integral from -4 to 3 of \|1/2x\| with respect to x	$\int_{- 4}^{3} \| \frac{1}{2} x \| d x$
33956	Simplify the Radical Expression	( square root of 100a^8)/( square root of 25a^4)	$\frac{\sqrt{100 a^{8}}}{\sqrt{25 a^{4}}}$
33957	Find the Concavity	y=x^3	$y = x^{3}$
33958	Evaluate	16pi*135/360	$16 π \cdot \frac{135}{360}$
33959	Solve for n	15 is 30% of what number?	$15$ is $30 %$ of what number?
33960	Find g(f(x))	g(x)=4-3/2x f(x)=1/2x+3/2	$g (x) = 4 - \frac{3}{2} x$ $f (x) = \frac{1}{2} x + \frac{3}{2}$
33961	Write in Slope-Intercept Form	10x-8y=4x-8	$10 x - 8 y = 4 x - 8$
33962	Solve the Rational Equation for r	10 = square root of 14r+2	$10 = \sqrt{14 r + 2}$
33963	Factor	x^2=x+30	$x^{2} = x + 30$
33964	Solve for y	y+-10=-3	$y + - 10 = - 3$
33965	Simplify the Radical Expression	18 root of 1/(n^4*n^5)	$\sqrt[18]{\frac{1}{n^{4} \cdot n^{5}}}$
33966	Find the x and y Intercepts	f(x)=x(x-7)(6x+5)(x-7)	$f (x) = x (x - 7) (6 x + 5) (x - 7)$
33967	Find dx/dy	y=arctan(4x^2-3)	$y = \arctan (4 x^{2} - 3)$
33968	Write the Fraction in Simplest Form	(20y^2h^-1)/((5y^5h^2)^2)	$\frac{20 y^{2} h^{- 1}}{{(5 y^{5} h^{2})}^{2}}$
33969	Find the Distance Between Two Points	(7,-1) and (9,-9)	$(7, - 1)$ and $(9, - 9)$
33970	Find the Product	(x^2+5x-1)(5x^2-6x+1)	$(x^{2} + 5 x - 1) (5 x^{2} - 6 x + 1)$
33971	Find the Derivative - d/dx	(x^4)/((6x+1)^3)	$\frac{x^{4}}{{(6 x + 1)}^{3}}$
33972	Solve the System of Inequalities	x<-6 and x>-9	$x < - 6$ and $x > - 9$
33973	Find the Exact Value	log base 4 of fifth root of 256	$\log_{4} (\sqrt[5]{256})$
33974	Find the Domain	f(x)=(sin(x))/(x+1)	$f (x) = \frac{\sin (x)}{x + 1}$
33975	Describe the Transformation	y = cube root of -x	$y = \sqrt[3]{- x}$
33976	Solve for p	(2p)/8=3/7	$\frac{2 p}{8} = \frac{3}{7}$
33977	Evaluate the Integral	integral of (tan(x)^2+tan(x)^4) with respect to x	$\int (\tan^{2} (x) + \tan^{4} (x)) d x$
33978	Solve for w	w-(-1/3)=2.05	$w - (- \frac{1}{3}) = 2.05$
33979	Write in Standard Form	P(x)=1-3x+x^2	$P (x) = 1 - 3 x + x^{2}$
33980	Graph	((y-1)^2)/(3^2)-((x-1)^2)/(2^2)=1	$\frac{{(y - 1)}^{2}}{3^{2}} - \frac{{(x - 1)}^{2}}{2^{2}} = 1$
33981	Simplify	(-(2a^3b^2c^0)/(3a^2b^3c^7))^-2	${(- \frac{2 a^{3} b^{2} c^{0}}{3 a^{2} b^{3} c^{7}})}^{- 2}$
33982	Find the Inverse	y = cube root of 3x-1+3	$y = \sqrt[3]{3 x - 1} + 3$
33983	Add	-3x^2+5x-8+-10x^2-x-3	$- 3 x^{2} + 5 x - 8 + - 10 x^{2} - x - 3$
33984	Evaluate	sin(arcsin(( square root of 3)/2))	$\sin (\arcsin (\frac{\sqrt{3}}{2}))$
33985	Evaluate the Limit	limit as x approaches infinity of ((3x+9)(2x+7))/((x+1)(5x+4))	$lim_{x \to \infty} \frac{(3 x + 9) (2 x + 7)}{(x + 1) (5 x + 4)}$
33986	Find the Vertex	f(x)=-1/2(x+3)^2	$f (x) = - \frac{1}{2} {(x + 3)}^{2}$
33987	Evaluate	(3a)/4+(2a)/3-a/12	$\frac{3 a}{4} + \frac{2 a}{3} - \frac{a}{12}$
33988	Solve for N	2^N=16	$2^{N} = 16$
33989	Multiply	1/2*( square root of 3)/2	$\frac{1}{2} \cdot \frac{\sqrt{3}}{2}$
33990	Multiply	(28n+40)/(35n+50)*(12n+24)/(8n+16)	$\frac{28 n + 40}{35 n + 50} \cdot \frac{12 n + 24}{8 n + 16}$
33991	Find the Domain	L(t)=(t^2-4)/(t^2-t-2)	$L (t) = \frac{t^{2} - 4}{t^{2} - t - 2}$
33992	Find the Complex Conjugate	5/(4- square root of 3)	$\frac{5}{4 - \sqrt{3}}$
33993	Simplify	(3^3)/( square root of 81)	$\frac{3^{3}}{\sqrt{81}}$
33994	Solve the System of Inequalities	26>3x and -1+2x>=-8	$26 > 3 x$ and $- 1 + 2 x \geq - 8$
33995	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (1,5) and has a slope of -1 ?	What is the equation of the line that passes through the point $(1, 5)$ and has a slope of $- 1$ ?
33996	Solve for x	2x+9x-2=3x-5-4	$2 x + 9 x - 2 = 3 x - 5 - 4$
33997	Solve the System of Equations	Solve 2x+5y=-13 3x-4y=-8	Solve $2 x + 5 y = - 13$ $3 x - 4 y = - 8$
33998	Solve for x	1/5x+a=1/2b	$\frac{1}{5} x + a = \frac{1}{2} b$
33999	Solve by Substitution	-2x+y=0 -7x+3y=2	$- 2 x + y = 0$ $- 7 x + 3 y = 2$
34000	Evaluate the Integral	integral from 1 to e^2 of (x^3+1)/x with respect to x	$\int_{1}^{e^{2}} \frac{(x^{3} + 1)}{x} d x$