Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
34501	Find Amplitude, Period, and Phase Shift	y=4sin((4pix)/5-3)	$y = 4 \sin (\frac{4 π x}{5} - 3)$
34502	Simplify the Radical Expression	(81x^-12y^20)^(-3/4)	${(81 x^{- 12} y^{20})}^{- \frac{3}{4}}$
34503	Simplify	(7x+4)/(x^2+3x+2)-(3x-2)/(x^2+3x+2)	$\frac{7 x + 4}{x^{2} + 3 x + 2} - \frac{3 x - 2}{x^{2} + 3 x + 2}$
34504	Solve for x	log base 8 of x = log base 8 of 10^-1	$\log_{8} (x) = \log_{8} (10^{- 1})$
34505	Factor	(x-4)^2-(10x+1)^2	${(x - 4)}^{2} - {(10 x + 1)}^{2}$
34506	Solve the System of Equations	x+2y=21 and -2x-y=-12	$x + 2 y = 21$ and $- 2 x - y = - 12$
34507	Graph	-1/8<x<=3/2	$- \frac{1}{8} < x \leq \frac{3}{2}$
34508	Solve the Inequality for n	-34+7n>8(2+4n)	$- 34 + 7 n > 8 (2 + 4 n)$
34509	Evaluate	x^5=32	$x^{5} = 32$
34510	Graph	x-2y>-2 2x+y>3	$x - 2 y > - 2$ $2 x + y > 3$
34511	Expand Using the Binomial Theorem	(2x^2y^3-1/4y)^9	${(2 x^{2} y^{3} - \frac{1}{4} y)}^{9}$
34512	Simplify	-y^2+4x^2-y-7y^2+3y^2-4x^2-2x^2	$- y^{2} + 4 x^{2} - y - 7 y^{2} + 3 y^{2} - 4 x^{2} - 2 x^{2}$
34513	Find the Trig Value	cot(theta)=5/12 , csc(theta)	$\cot (θ) = \frac{5}{12}$ , $\csc (θ)$
34514	Graph	2x-5y>-15 3x+y>=7	$2 x - 5 y > - 15$ $3 x + y \geq 7$
34515	Simplify	cube root of 27 square root of 3	$\sqrt[3]{27 \sqrt{3}}$
34516	Evaluate the Limit	limit as x approaches 2 of ( square root of 2x-2)/( square root of 14x-3-5)	$lim_{x \to 2} \frac{\sqrt{2 x} - 2}{\sqrt{14 x - 3} - 5}$
34517	Factor by Grouping	2m^6-24m^5+64m^4	$2 m^{6} - 24 m^{5} + 64 m^{4}$
34518	Graph	f(x)< = square root of x-6+2	$f (x) \leq \sqrt{x - 6} + 2$
34519	Find the Product	(5x-y^2)(25x^2+5xy^2+y^4)	$(5 x - y^{2}) (25 x^{2} + 5 x y^{2} + y^{4})$
34520	Solve for x	log of x^2-2+2 log of 6 = log of 6x	$\log (x^{2} - 2) + 2 \log (6) = \log (6 x)$
34521	Solve for y	y=-(2^-5)	$y = - (2^{- 5})$
34522	Simplify	8/(2x^2-7x+5)+(3x+2)/(2x^2-x-10)	$\frac{8}{2 x^{2} - 7 x + 5} + \frac{3 x + 2}{2 x^{2} - x - 10}$
34523	Simplify	(3-6i)/(3i)	$\frac{3 - 6 i}{3 i}$
34524	Find the Exact Value	3 square root of -27	$3 \sqrt{- 27}$
34525	Multiply	cube root of 4x* cube root of 2x	$\sqrt[3]{4 x} \cdot \sqrt[3]{2 x}$
34526	Divide	( square root of 6x)/( square root of 3x)	$\frac{\sqrt{6 x}}{\sqrt{3 x}}$
34527	Solve by Completing the Square	x^2+7/2x-7=0	$x^{2} + \frac{7}{2} x - 7 = 0$
34528	Solve for x	2^3*4^x=2^11	$2^{3} \cdot 4^{x} = 2^{11}$
34529	Simplify	1/(cos(x))+1/(sin(x))	$\frac{1}{\cos (x)} + \frac{1}{\sin (x)}$
34530	Factor	(x-4)^2-(9x-1)^2	${(x - 4)}^{2} - {(9 x - 1)}^{2}$
34531	Solve for w	(2w+8)(2w+10)=224	$(2 w + 8) (2 w + 10) = 224$
34532	Graph	\|x\|<4 and \|y\|<2	$\| x \| < 4$ and $\| y \| < 2$
34533	Find the Derivative - d/dx	Find the derivative of cube root of 6x+2	Find the derivative of $\sqrt[3]{6 x + 2}$
34534	Evaluate	(1+cos(theta))(1-cos(theta))=sin(theta)^2	$(1 + \cos (θ)) (1 - \cos (θ)) = \sin^{2} (θ)$
34535	Find the x and y Intercepts	f(x)=3(3x+1)	$f (x) = 3 (3 x + 1)$
34536	Solve the Inequality for f	9f-2(3f+5)<=8	$9 f - 2 (3 f + 5) \leq 8$
34537	Simplify	2/3y+1/3y-y	$\frac{2}{3} y + \frac{1}{3} y - y$
34538	Graph	f(x)=x^2-2x+1=0	$f (x) = x^{2} - 2 x + 1 = 0$
34539	Simplify	(m-2n)(3m+5n)+4mn	$(m - 2 n) (3 m + 5 n) + 4 m n$
34540	Find the Asymptotes	f(x)=(2x^2+3x+7)/( square root of x^6+2)	$f (x) = \frac{2 x^{2} + 3 x + 7}{\sqrt{x^{6} + 2}}$
34541	Solve the Inequality for x	cos(x)>=1/2	$\cos (x) \geq \frac{1}{2}$
34542	Simplify	square root of 5x square root of 7y	$\sqrt{5 x} \sqrt{7 y}$
34543	Find the Slope	What is the slope of the line through (-1,8) and (3,-4) ?	What is the slope of the line through $(- 1, 8)$ and $(3, - 4)$ ?
34544	Simplify	((x^-2y)/(z^2))^-4	${(\frac{x^{- 2} y}{z^{2}})}^{- 4}$
34545	Solve the Inequality for x	5x^2+25x+8<=4x+4	$5 x^{2} + 25 x + 8 \leq 4 x + 4$
34546	Evaluate the Integral	integral from -2 to 1 of (4x^3+5x^2-x+1) with respect to x	$\int_{- 2}^{1} (4 x^{3} + 5 x^{2} - x + 1) d x$
34547	Find the Equation Using Slope-Intercept Form	y=3x+6 , (4,7)	$y = 3 x + 6$ , $(4, 7)$
34548	Find the Difference Quotient	x^2+1	$x^{2} + 1$
34549	Solve for p	-p/3-8=3	$- \frac{p}{3} - 8 = 3$
34550	Simplify the Radical Expression	square root of (x+1)^4	$\sqrt{{(x + 1)}^{4}}$
34551	Simplify the Radical Expression	(m^(-5/8))(m^(3/8))	$(m^{- \frac{5}{8}}) (m^{\frac{3}{8}})$
34552	Find the Derivative - d/dx	(3x^3)/(2x^3-1)	$\frac{3 x^{3}}{2 x^{3} - 1}$
34553	Simplify	((-6x)/(x+y))/(y/(x^2))	$\frac{\frac{- 6 x}{x + y}}{\frac{y}{x^{2}}}$
34554	Simplify	fourth root of 9(a+3)^2	$\sqrt[4]{9 {(a + 3)}^{2}}$
34555	Solve for x	square root of 3x-3/4=0	$\sqrt{3 x} - \frac{3}{4} = 0$
34556	Add	(4x^3-5x^2+3x-8)+(2x^3-2x^2+6x+12)	$(4 x^{3} - 5 x^{2} + 3 x - 8) + (2 x^{3} - 2 x^{2} + 6 x + 12)$
34557	Find the Second Derivative	5x^(-1/2)	$5 x^{- \frac{1}{2}}$
34558	Evaluate	(x^-8y^-6y^5)/(x^-3)	$\frac{x^{- 8} y^{- 6} y^{5}}{x^{- 3}}$
34559	Divide	(2/3)/(7/8)	$\frac{\frac{2}{3}}{\frac{7}{8}}$
34560	Find the Center and Radius	x^2+y^2+z^2-6x+4y-2z=11	$x^{2} + y^{2} + z^{2} - 6 x + 4 y - 2 z = 11$
34561	Divide	(a-a^4)/(a^2+a+1)	$\frac{a - a^{4}}{a^{2} + a + 1}$
34562	Simplify	square root of x* square root of x^3	$\sqrt{x} \cdot \sqrt{x^{3}}$
34563	Simplify	2k(-3k^3+k^2-10)	$2 k (- 3 k^{3} + k^{2} - 10)$
34564	Evaluate the Function	f(-3)=6/(2x-3)	$f (- 3) = \frac{6}{2 x - 3}$
34565	Solve for y	x+(y-1)^2=0	$x + {(y - 1)}^{2} = 0$
34566	Multiply	log base 3 of 5* log base 2 of 3* log base 5 of 16	$\log_{3} (5) \cdot \log_{2} (3) \cdot \log_{5} (16)$
34567	Simplify	square root of 48+3 square root of 27-7( square root of 12- square root of 75)	$\sqrt{48} + 3 \sqrt{27} - 7 (\sqrt{12} - \sqrt{75})$
34568	Find dy/dx	y^3-3y^2-9y+2x^2+20x=-27	$y^{3} - 3 y^{2} - 9 y + 2 x^{2} + 20 x = - 27$
34569	Add	(7x)/(x-7)+(7x+3)/(x-6)	$\frac{7 x}{x - 7} + \frac{7 x + 3}{x - 6}$
34570	Solve the Rational Equation for x	square root of (x-1)^2=1-x	$\sqrt{{(x - 1)}^{2}} = 1 - x$
34571	Subtract	(4x-3)/(x^2-9)-(2x-3)/(x-3)	$\frac{4 x - 3}{x^{2} - 9} - \frac{2 x - 3}{x - 3}$
34572	Find the Derivative - d/dx	Find the derivative of sin(x+5)^2	Find the derivative of $\sin^{2} (x + 5)$
34573	Simplify	(x-y)/x-(y-x)/y+(x^2+y^2)/(xy)	$\frac{(x - y)}{x} - \frac{(y - x)}{y} + \frac{(x^{2} + y^{2})}{x y}$
34574	Solve Using the Square Root Property	1/4(x+1)^2-16=0	$\frac{1}{4} {(x + 1)}^{2} - 16 = 0$
34575	Graph	tan(theta)>0 and csc(theta)<0	$\tan (θ) > 0$ and $\csc (θ) < 0$
34576	Find the Geometric Mean	4 and 7	$4$ and $7$
34577	Solve for y	y-5=3-9(y+2)	$y - 5 = 3 - 9 (y + 2)$
34578	Evaluate	18+6÷3(2^2+5)	$18 + 6 \div 3 (2^{2} + 5)$
34579	Solve for x	5x^3+3x-2x^3=3x^3	$5 x^{3} + 3 x - 2 x^{3} = 3 x^{3}$
34580	Solve for x	x^3+x^2-2=0	$x^{3} + x^{2} - 2 = 0$
34581	Find the Exact Value	-5(20-10)	$- 5 (20 - 10)$
34582	Simplify	(8y^-2)/(2x)	$\frac{(8 y^{- 2})}{2 x}$
34583	Simplify	(cot(x)sec(x)^2-cot(x))/(sin(x)tan(x)+cos(x))	$\frac{\cot (x) \sec^{2} (x) - \cot (x)}{\sin (x) \tan (x) + \cos (x)}$
34584	Find the Domain and Range	f(x)=2sin(2x)-pi/2	$f (x) = 2 \sin (2 x) - \frac{π}{2}$
34585	Simplify	( cube root of 54)/( sixth root of 4)	$\frac{\sqrt[3]{54}}{\sqrt[6]{4}}$
34586	Multiply	(3x-9)/(9x^2-4)*(3x-2)/(5x+7)	$\frac{3 x - 9}{9 x^{2} - 4} \cdot \frac{3 x - 2}{5 x + 7}$
34587	Find the LCM	x^2+6x+9 and x^2+8x+15	$x^{2} + 6 x + 9$ and $x^{2} + 8 x + 15$
34588	Find the Derivative - d/dx	1+ square root of 2x	$1 + \sqrt{2 x}$
34589	Find All Complex Solutions	1-3/(x-1)=-6/(x^2-1)	$1 - \frac{3}{x - 1} = - \frac{6}{x^{2} - 1}$
34590	Find the Domain and Range	y=3 square root of -x-6	$y = 3 \sqrt{- x} - 6$
34591	Solve the Inequality for x	-8<=(-3x+1)/4<=11	$- 8 \leq \frac{- 3 x + 1}{4} \leq 11$
34592	Find the x and y Intercepts	f(x)=4(x+4)(2x+5)^2(x+4)	$f (x) = 4 (x + 4) {(2 x + 5)}^{2} (x + 4)$
34593	Find All Complex Solutions	-8x^2-8=-32	$- 8 x^{2} - 8 = - 32$
34594	Solve for x	3x<=-5/4	$3 x \leq - \frac{5}{4}$
34595	Simplify	(x^2+7x-8)/(x-7)(x^3-12x^2+35x)/(x^2-3x+2)(x^2-11x+18)/(4x^3+12x^2-160x)	$\frac{x^{2} + 7 x - 8}{x - 7} \cdot \frac{x^{3} - 12 x^{2} + 35 x}{x^{2} - 3 x + 2} \cdot \frac{x^{2} - 11 x + 18}{4 x^{3} + 12 x^{2} - 160 x}$
34596	Simplify	((x^2-9)/(x^2-25))÷((x^2-8x+15)/(x^2+7x+10))	$\frac{x^{2} - 9}{x^{2} - 25} \div \frac{x^{2} - 8 x + 15}{x^{2} + 7 x + 10}$
34597	Find the GCF	6xy , 15x^2 , 9xy^4	$6 x y$ , $15 x^{2}$ , $9 x y^{4}$
34598	Solve for x	x/2=x	$\frac{x}{2} = x$
34599	Divide	(3 square root of 20)/(2 square root of 4)	$\frac{3 \sqrt{20}}{2 \sqrt{4}}$
34600	Simplify	(16i^2)/(2i)	$\frac{16 i^{2}}{2 i}$