Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
42501	Evaluate	square root of 36xy^11	$\sqrt{36 x y^{11}}$
42502	Solve for d	(1/3)^(d-5)=81	${(\frac{1}{3})}^{d - 5} = 81$
42503	Simplify	\|7-9\|+(7-9)^2	$\| 7 - 9 \| + {(7 - 9)}^{2}$
42504	Find the Derivative - d/dx	1-tan(x)^2	$1 - \tan^{2} (x)$
42505	Convert to a Decimal	255*10^-4	$255 \cdot 10^{- 4}$
42506	Graph	Graph the line x=2	Graph the line $x = 2$
42507	Simplify	(2x+3y)/(9x)+(6x-11y)/(9x)-(19y-x)/(9x)	$\frac{(2 x + 3 y)}{9 x} + \frac{(6 x - 11 y)}{9 x} - \frac{(19 y - x)}{9 x}$
42508	Solve for x	3x(x+2)=3	$3 x (x + 2) = 3$
42509	Solve the Inequality for v	16-7v<2	$16 - 7 v < 2$
42510	Multiply	-4*(3/-4)	$- 4 \cdot (\frac{3}{- 4})$
42511	Solve for x	x^2+11x+11=4x	$x^{2} + 11 x + 11 = 4 x$
42512	Solve the Inequality for x	(x-1)/x>0	$\frac{x - 1}{x} > 0$
42513	Find the Derivative - d/dx	y=sin(x^2+3x)^4	$y = \sin^{4} (x^{2} + 3 x)$
42514	Simplify	((x^2+4x-12)/(x^2-25))÷((x+6)/(x^2-5x))	$\frac{x^{2} + 4 x - 12}{x^{2} - 25} \div \frac{x + 6}{x^{2} - 5 x}$
42515	Solve for x	z=y-x-m	$z = y - x - m$
42516	Find the Exact Value	1/(3^-2)	$\frac{1}{3^{- 2}}$
42517	Find dx/dy	y=x^(2/3)	$y = x^{\frac{2}{3}}$
42518	Simplify	((i+1)^2)/(3-i)	$\frac{{(i + 1)}^{2}}{3 - i}$
42519	Find the x and y Intercepts	P(x)=(x-5)(x-3)(x+2)	$P (x) = (x - 5) (x - 3) (x + 2)$
42520	Solve for V	r=((3V)/(4pi))^(1/3)	$r = {(\frac{3 V}{4 π})}^{\frac{1}{3}}$
42521	Divide	(-6/5)÷(4/7)	$- \frac{6}{5} \div \frac{4}{7}$
42522	Multiply	6/5*(-2/3)	$\frac{6}{5} \cdot (- \frac{2}{3})$
42523	Find the Asymptotes	f(x)=(6x^2+1)/(2x^2+9)	$f (x) = \frac{6 x^{2} + 1}{2 x^{2} + 9}$
42524	Solve for z	2(z+5)+5(z+2)=10(z-1)	$2 (z + 5) + 5 (z + 2) = 10 (z - 1)$
42525	Divide	(-3/20)÷(21/16)	$- \frac{3}{20} \div \frac{21}{16}$
42526	Evaluate	-2/((1)^2)	$- \frac{2}{{(1)}^{2}}$
42527	Solve for x	8x-6=4x+8x+12	$8 x - 6 = 4 x + 8 x + 12$
42528	Solve by Substitution	11x-y=3 y=11x	$11 x - y = 3$ $y = 11 x$
42529	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-4,6) and has a slope of -5/4 ?	What is the equation of the line that passes through the point $(- 4, 6)$ and has a slope of $- \frac{5}{4}$ ?
42530	Add	(3x^2+11x+4)+(-5x+x^2-13)	$(3 x^{2} + 11 x + 4) + (- 5 x + x^{2} - 13)$
42531	Identify the Sequence	3 , 2 , 4/3	$3$ , $2$ , $\frac{4}{3}$
42532	Simplify	(x^2-3x-10)-(x-5)	$(x^{2} - 3 x - 10) - (x - 5)$
42533	Convert to Radical Form	(-32)^0.4	${(- 32)}^{0.4}$
42534	Solve for k	3+5x = square root of k+6x	$3 + 5 x = \sqrt{k + 6 x}$
42535	Graph	f(x)=cot(1/2x-pi)	$f (x) = \cot (\frac{1}{2} x - π)$
42536	Evaluate	(36k^4m^10)1/2	$(36 k^{4} m^{10}) \frac{1}{2}$
42537	Simplify the Radical Expression	square root of 28+ square root of 63	$\sqrt{28} + \sqrt{63}$
42538	Simplify	cot(60 degrees )	$\cot (60 °)$
42539	Simplify	i^52-i^48	$i^{52} - i^{48}$
42540	Expand the Logarithmic Expression	log of (a^6)/( square root of b^3c^3)	$\log (\frac{a^{6}}{\sqrt{b^{3} c^{3}}})$
42541	Find dy/dx	y=(-6+x-6x^2)(-9-9x)	$y = (- 6 + x - 6 x^{2}) (- 9 - 9 x)$
42542	Simplify	(18-6 cube root of 3)/( cube root of 9)	$\frac{18 - 6 \sqrt[3]{3}}{\sqrt[3]{9}}$
42543	Evaluate	f(-1)f(-2)	$f (- 1) f (- 2)$
42544	Divide Using Long Polynomial Division	2x^3+9x^2+15x+9 divided by 2x+3	$2 x^{3} + 9 x^{2} + 15 x + 9$ divided by $2 x + 3$
42545	Find the Inverse	f(x)=((x^7+10)^(1/5))/9	$f (x) = \frac{{(x^{7} + 10)}^{\frac{1}{5}}}{9}$
42546	Graph	-8>=-5x+7>=-33	$- 8 \geq - 5 x + 7 \geq - 33$
42547	Convert from Degrees to Radians	540deg	$540$ degrees
42548	Evaluate the Integral	4 integral from 0 to 1 of x^3 square root of 1-x^2 with respect to x	$4 \int_{0}^{1} x^{3} \sqrt{1 - x^{2}} d x$
42549	Solve for x	5x-9-2=-5(2-x)-1	$5 x - 9 - 2 = - 5 (2 - x) - 1$
42550	Find the Inverse	8(x+9)^(1/7)	$8 {(x + 9)}^{\frac{1}{7}}$
42551	Solve for m	m^2=2m	$m^{2} = 2 m$
42552	Simplify	6x-3x+3-3x	$6 x - 3 x + 3 - 3 x$
42553	Write in y=mx+b Form	6x+y=4x+11y	$6 x + y = 4 x + 11 y$
42554	Evaluate	(2^4)/((2^-6)^-1)	$\frac{2^{4}}{{(2^{- 6})}^{- 1}}$
42555	Solve for u	-83=2u+3u-18	$- 83 = 2 u + 3 u - 18$
42556	Find the Vertex	2x-y^2=4y+10	$2 x - y^{2} = 4 y + 10$
42557	Simplify	(4x^(-1/2)y^(7/4))/( fourth root of 16x^3y^5)	$\frac{4 x^{- \frac{1}{2}} y^{\frac{7}{4}}}{\sqrt[4]{16 x^{3} y^{5}}}$
42558	Evaluate	3(-4)^-1	$3 {(- 4)}^{- 1}$
42559	Simplify	(4x+8)*(x+3)	$(4 x + 8) \cdot (x + 3)$
42560	Find dy/dx	y=( square root of 4+6x^3)/(cos(x)^3)	$y = \frac{\sqrt{4 + 6 x^{3}}}{\cos^{3} (x)}$
42561	Simplify the Radical Expression	square root of 4+ square root of -36- square root of 49+ square root of -49	$\sqrt{4} + \sqrt{- 36} - \sqrt{49} + \sqrt{- 49}$
42562	Graph	y=\|x\| and y=\|x-3\|	$y = \| x \|$ and $y = \| x - 3 \|$
42563	Find the Derivative - d/dx	xy^2-sin(x+y)+y	$x y^{2} - \sin (x + y) + y$
42564	Simplify the Radical Expression	cube root of square root of x^3	$\sqrt[3]{\sqrt{x^{3}}}$
42565	Factor by Grouping	x^4+2x^2-63	$x^{4} + 2 x^{2} - 63$
42566	Solve the Rational Equation for a	( fifth root of x^3)/((x^3)^(1/5))=x^a	$\frac{\sqrt[5]{x^{3}}}{{(x^{3})}^{\frac{1}{5}}} = x^{a}$
42567	Simplify	2 square root of 3 square root of 2	$2 \sqrt{3} \sqrt{2}$
42568	Solve for x	\|(3-7x)/9\|>=3/5	$\| \frac{3 - 7 x}{9} \| \geq \frac{3}{5}$
42569	Evaluate	square root of 3-( square root of 3)/2	$\sqrt{3} - \frac{\sqrt{3}}{2}$
42570	Simplify	square root of 27x^3y+x square root of 48xy	$\sqrt{27 x^{3} y} + x \sqrt{48 x y}$
42571	Graph	f(x)=x(x+4)(x+1)(x-3)	$f (x) = x (x + 4) (x + 1) (x - 3)$
42572	Simplify	-6*(x+8)/x	$- 6 \cdot \frac{x + 8}{x}$
42573	Solve for v	38=-6v-7v-27	$38 = - 6 v - 7 v - 27$
42574	Find All Complex Solutions	4p^2=12p-5	$4 p^{2} = 12 p - 5$
42575	Simplify	(3x^2+11x+4)+(-5x+x^2-13)	$(3 x^{2} + 11 x + 4) + (- 5 x + x^{2} - 13)$
42576	Solve the Inequality for a	4a+3b<12	$4 a + 3 b < 12$
42577	Graph	x<-1 or x>3	$x < - 1$ or $x > 3$
42578	Factor	y=x^3+6x^2-16x	$y = x^{3} + 6 x^{2} - 16 x$
42579	Find the Inverse	y=(2^x-3)^(1/4)	$y = {(2^{x} - 3)}^{\frac{1}{4}}$
42580	Simplify	(2x^3)/(x^5y^4)	$\frac{2 x^{3}}{x^{5} y^{4}}$
42581	Graph	x^2=8/x	$x^{2} = \frac{8}{x}$
42582	Verify the Identity	1/(sec(theta)^2)+1/(csc(theta)^2)=1	$\frac{1}{\sec^{2} (θ)} + \frac{1}{\csc^{2} (θ)} = 1$
42583	Solve for t	t-2/7=1/2	$t - \frac{2}{7} = \frac{1}{2}$
42584	Graph	x^2-1>=0	$x^{2} - 1 \geq 0$
42585	Find Amplitude, Period, and Phase Shift	y=1/4cos((3pix)/2-3/5)	$y = \frac{1}{4} \cos (\frac{3 π x}{2} - \frac{3}{5})$
42586	Find the Maximum/Minimum Value	y=4-6x+x^3	$y = 4 - 6 x + x^{3}$
42587	Subtract	(x^2+8x+8)+(-10x^2+5x)	$(x^{2} + 8 x + 8) + (- 10 x^{2} + 5 x)$
42588	Evaluate	(tan(t))/(sec(t)-cos(t))	$\frac{\tan (t)}{\sec (t) - \cos (t)}$
42589	Solve the Inequality for a	11a-4(a+2)<=8a+10	$11 a - 4 (a + 2) \leq 8 a + 10$
42590	Evaluate	(y^(1/6))^3* square root of x	${(y^{\frac{1}{6}})}^{3} \cdot \sqrt{x}$
42591	Find the Critical Points	y=4-6x+x^3	$y = 4 - 6 x + x^{3}$
42592	Evaluate	1/(1/2+1)	$\frac{1}{\frac{1}{2} + 1}$
42593	Solve the System of Inequalities	4x+2>10 and -3x-1>5	$4 x + 2 > 10$ and $- 3 x - 1 > 5$
42594	Simplify	13v-v+15w-4v	$13 v - v + 15 w - 4 v$
42595	Simplify Using Half-Angle Formula	cos((11pi)/12)	$\cos (\frac{11 π}{12})$
42596	Find the Axis of Symmetry	y^2=x+49	$y^{2} = x + 49$
42597	Factor	(5x+6)^2-(2x+1)^2	${(5 x + 6)}^{2} - {(2 x + 1)}^{2}$
42598	Solve for x	5/(x-5)=2+x/(x-5)	$\frac{5}{x - 5} = 2 + \frac{x}{x - 5}$
42599	Simplify	1/(x^3)-x/(y^3)	$\frac{1}{x^{3}} - \frac{x}{y^{3}}$
42600	Find the Antiderivative	1/(sin(2x))	$\frac{1}{\sin (2 x)}$