Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
11601	Simplify	-24y^4+(2x^0y^2)^2	$- 24 y^{4} + {(2 x^{0} y^{2})}^{2}$
11602	Simplify	3x+5-2x-5x+9+8x	$3 x + 5 - 2 x - 5 x + 9 + 8 x$
11603	Simplify	14bc+6b-4c+8b-8c+8bc	$14 b c + 6 b - 4 c + 8 b - 8 c + 8 b c$
11604	Divide	(6 square root of 18)÷12 square root of 40	$6 \sqrt{18} \div 12 \sqrt{40}$
11605	Simplify	3^-1*3^0	$3^{- 1} \cdot 3^{0}$
11606	Evaluate	75% of 40	$75 %$ of $40$
11607	Solve for x	log base a of x=2 log base a of 3+ log base a of 5	$\log_{a} (x) = 2 \log_{a} (3) + \log_{a} (5)$
11608	Evaluate	1+x+(x^2)/(1-x)=1/(1-x)	$1 + x + \frac{x^{2}}{1 - x} = \frac{1}{1 - x}$
11609	Simplify	2/3(6-3/2)	$\frac{2}{3} (6 - \frac{3}{2})$
11610	Find the Product	log base 3 of 5* log base 2 of 3* log base 5 of 16	$\log_{3} (5) \cdot \log_{2} (3) \cdot \log_{5} (16)$
11611	Graph	y=1/5x^5-2x^3+9/5x	$y = \frac{1}{5} x^{5} - 2 x^{3} + \frac{9}{5} x$
11612	Graph	3y-9<=6x	$3 y - 9 \leq 6 x$
11613	Evaluate	1(1+1/365)^365	$1 {(1 + \frac{1}{365})}^{365}$
11614	Solve for x	5/3(4x-5)=4x-1/3	$\frac{5}{3} (4 x - 5) = 4 x - \frac{1}{3}$
11615	Evaluate	2sin(pi/3)-3tan(pi/6)	$2 \sin (\frac{π}{3}) - 3 \tan (\frac{π}{6})$
11616	Simplify	5r^3*2r^(1/2)	$5 r^{3} \cdot 2 r^{\frac{1}{2}}$
11617	Simplify	(6 cube root of x^7y^5)÷2 cube root of xy^2	$6 \sqrt[3]{x^{7} y^{5}} \div 2 \sqrt[3]{x y^{2}}$
11618	Simplify	((4^2x^-2)/(10y^0))	$(\frac{4^{2} x^{- 2}}{10 y^{0}})$
11619	Solve for x	176=-15(x-11)	$176 = - 15 (x - 11)$
11620	Find the Roots (Zeros)	y=(-x-1)^2+3	$y = {(- x - 1)}^{2} + 3$
11621	Multiply	(a^2-6a)/(a-6)*(a+3)/a	$\frac{a^{2} - 6 a}{a - 6} \cdot \frac{a + 3}{a}$
11622	Solve for x	\|x+1\|+\|3x-2\|=2	$\| x + 1 \| + \| 3 x - 2 \| = 2$
11623	Determine if True	tan(theta)+cot(theta)=csc(theta)sec(theta)	$\tan (θ) + \cot (θ) = \csc (θ) \sec (θ)$
11624	Find the Maximum/Minimum Value	f(x)=e^(x^2-1)	$f (x) = e^{x^{2} - 1}$
11625	Simplify	cube root of 27x^12* fourth root of 81x^11	$\sqrt[3]{27 x^{12}} \cdot \sqrt[4]{81 x^{11}}$
11626	Graph	cos(theta)<0 and tan(theta)<0	$\cos (θ) < 0$ and $\tan (θ) < 0$
11627	Simplify	(4(x+6))/(x-2)*(x+10)/(24(x+6))	$\frac{4 (x + 6)}{(x - 2)} \cdot \frac{(x + 10)}{24 (x + 6)}$
11628	Graph	-x^2+y>=-3	$- x^{2} + y \geq - 3$
11629	Find Trig Functions Using Identities	tan(theta)=3/4 , sin(theta)<0	$\tan (θ) = \frac{3}{4}$ , $\sin (θ) < 0$
11630	Evaluate the Function	x=-2 , 0 , 1	$x = - 2$ , $0$ , $1$
11631	Factor	x^2+(-7x)+(-8)	$x^{2} + (- 7 x) + (- 8)$
11632	Convert to Interval Notation	square root of 4x^2-12x+9<=9	$\sqrt{4 x^{2} - 12 x + 9} \leq 9$
11633	Solve for m	m+1/3<-2 1/4	$m + \frac{1}{3} < - 2 \frac{1}{4}$
11634	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-5,3) and has a slope of -6/5 ?	What is the equation of the line that passes through the point $(- 5, 3)$ and has a slope of $- \frac{6}{5}$ ?
11635	Simplify	1/2 square root of 4x-1/3 square root of 9x+1/4 square root of 64	$\frac{1}{2} \sqrt{4 x} - \frac{1}{3} \sqrt{9 x} + \frac{1}{4} \sqrt{64}$
11636	Simplify	( square root of 4x^4)/( square root of x^4)	$\frac{\sqrt{4 x^{4}}}{\sqrt{x^{4}}}$
11637	Find the Asymptotes	(x^2-8x)/(3x^2-3x-90)	$\frac{x^{2} - 8 x}{3 x^{2} - 3 x - 90}$
11638	Solve for x	5^x+125/(5^x)=30	$5^{x} + \frac{125}{5^{x}} = 30$
11639	Graph	y=x^2 and y=x^2-2	$y = x^{2}$ and $y = x^{2} - 2$
11640	Solve for m	2 log of m-1+ log of 2 = log of 2m^2-1	$2 \log (m - 1) + \log (2) = \log (2 m^{2} - 1)$
11641	Simplify	(m^(2/3)*m^(-1/2))/(m^(1/6))	$\frac{m^{\frac{2}{3}} \cdot m^{- \frac{1}{2}}}{m^{\frac{1}{6}}}$
11642	Find the Domain and Range	h(x)=tan(x-pi/2)	$h (x) = \tan (x - \frac{π}{2})$
11643	Find the Exact Value	sin(1/(2/(3pi)))	$\sin (\frac{1}{\frac{2}{3 π}})$
11644	Find the Domain and Range	f(x)=(3/2)^(-x)-7	$f (x) = {(\frac{3}{2})}^{- x} - 7$
11645	Solve for x	7x^(12/7)-448x^(6/7)=0	$7 x^{\frac{12}{7}} - 448 x^{\frac{6}{7}} = 0$
11646	Simplify	y cube root of 750x^3y^7	$y \sqrt[3]{750 x^{3} y^{7}}$
11647	Simplify	((x^2y)/(xy^2))^3	${(\frac{x^{2} y}{x y^{2}})}^{3}$
11648	Simplify	2^3-12÷6-1	$2^{3} - 12 \div 6 - 1$
11649	Find the Maximum/Minimum Value	h(x)=x^3e^(-x)	$h (x) = x^{3} e^{- x}$
11650	Find the Distance Between Two Points	What is the distance between the points (-2,5) and (2,8) ?	What is the distance between the points $(- 2, 5)$ and $(2, 8)$ ?
11651	Solve for x	-2(x+4)+6=1/2(x-6)+1	$- 2 (x + 4) + 6 = \frac{1}{2} (x - 6) + 1$
11652	Solve the Inequality for b	b-20<=-10	$b - 20 \leq - 10$
11653	Divide	(3x^2-2xy)/(2x)	$\frac{3 x^{2} - 2 x y}{2 x}$
11654	Find the Concavity	f(x)=-1/3x^3-7x^2	$f (x) = - \frac{1}{3} x^{3} - 7 x^{2}$
11655	Find the Norm	[[4],[0],[4],[5],[6]]	$[\begin{array}{c} 4 \\ 0 \\ 4 \\ 5 \\ 6 \end{array}]$
11656	Multiply	4/33.141^3	$\frac{4}{3} \cdot 3.14 \cdot 1^{3}$
11657	Evaluate	(f(-6))/(f(6))	$\frac{f (- 6)}{f (6)}$
11658	Simplify the Radical Expression	( fourth root of 16)/( fourth root of 81)	$\frac{\sqrt[4]{16}}{\sqrt[4]{81}}$
11659	Graph	2x+3y>=4 and 2x-y<5	$2 x + 3 y \geq 4$ and $2 x - y < 5$
11660	Simplify	x+8+4x-3x-4	$x + 8 + 4 x - 3 x - 4$
11661	Solve for x	3(2x-14)+x=15-(-9x-5)	$3 (2 x - 14) + x = 15 - (- 9 x - 5)$
11662	Find the Roots (Zeros)	M(s)=-5(s-4)(s-2)(s+1)(s+3)(s+5)	$M (s) = - 5 (s - 4) (s - 2) (s + 1) (s + 3) (s + 5)$
11663	Solve for x	(x^2-5)/(x-1)=(7x+10)/9	$\frac{x^{2} - 5}{x - 1} = \frac{7 x + 10}{9}$
11664	Simplify the Radical Expression	(4+3 square root of 5)*(-2+ square root of 5)	$(4 + 3 \sqrt{5}) \cdot (- 2 + \sqrt{5})$
11665	Simplify	10 square root of 28+ cube root of -56-4 square root of 175	$10 \sqrt{28} + \sqrt[3]{- 56} - 4 \sqrt{175}$
11666	Solve for x	(2x)/(x^2+3x)-2/(x+3)=2/x	$\frac{2 x}{x^{2} + 3 x} - \frac{2}{x + 3} = \frac{2}{x}$
11667	Convert to Trigonometric Form	cos(theta)+sin(theta)	$\cos (θ) + \sin (θ)$
11668	Evaluate	2x-1<x-8	$2 x - 1 < x - 8$
11669	Graph	y<=-x+4 -4x+4y<=16	$y \leq - x + 4$ $- 4 x + 4 y \leq 16$
11670	Solve for x	square root of x+4 = square root of 3x	$\sqrt{x + 4} = \sqrt{3 x}$
11671	Find the Concavity	x^5+5x^4	$x^{5} + 5 x^{4}$
11672	Simplify	(3z)(3x^3y^5z^2)^3(x^6yz)^2	$(3 z) {(3 x^{3} y^{5} z^{2})}^{3} {(x^{6} y z)}^{2}$
11673	Find the Domain and Range	f(x)=-2x^(1/4)	$f (x) = - 2 x^{\frac{1}{4}}$
11674	Convert from Degrees to Radians	tan(30 degrees )	$\tan (30 °)$
11675	Write in Standard Form	(2x^2-x-2)(x^2-2x+4)	$(2 x^{2} - x - 2) (x^{2} - 2 x + 4)$
11676	Solve for c	0.24+0.5c=-0.05+0.8c+0.02	$0.24 + 0.5 c = - 0.05 + 0.8 c + 0.02$
11677	Simplify	(-c^5h^6)^4	${(- c^{5} h^{6})}^{4}$
11678	Evaluate the Function	f(x)=10x^3+4x^2-5 at x=-3	$f (x) = 10 x^{3} + 4 x^{2} - 5$ at $x = - 3$
11679	Solve for y	x^2+4y=(x+6)(x-2)	$x^{2} + 4 y = (x + 6) (x - 2)$
11680	Convert to Trigonometric Form	tan(theta/2)+cot(theta/2)	$\tan (\frac{θ}{2}) + \cot (\frac{θ}{2})$
11681	Simplify	(4 square root of 125)/(5 square root of 80)	$\frac{4 \sqrt{125}}{5 \sqrt{80}}$
11682	Simplify	1/(a^5a^-4)	$\frac{1}{a^{5} a^{- 4}}$
11683	Simplify	(3 square root of 2x)(2 square root of 6x)	$(3 \sqrt{2 x}) (2 \sqrt{6 x})$
11684	Find the Inflection Points	f(x)=-1/6x^4+x^2	$f (x) = - \frac{1}{6} x^{4} + x^{2}$
11685	Find All Complex Solutions	x/(x-1)=-2/(x-3)	$\frac{x}{x - 1} = - \frac{2}{x - 3}$
11686	Simplify	fourth root of 81x^2* cube root of 27x^7	$\sqrt[4]{81 x^{2}} \cdot \sqrt[3]{27 x^{7}}$
11687	Solve the Inequality for t	t-12>=12	$t - 12 \geq 12$
11688	Evaluate	y-1-5/(y+3)	$y - 1 - \frac{5}{y + 3}$
11689	Evaluate the Limit	limit as x approaches 0 of ((3+x)^4-81)/(6x)	$lim_{x \to 0} \frac{{(3 + x)}^{4} - 81}{6 x}$
11690	Simplify	a^2(8a+9)-10(8a+9)	$a^{2} (8 a + 9) - 10 (8 a + 9)$
11691	Graph	y>=((-2x+3)(x-2))/(x-2)	$y \geq \frac{(- 2 x + 3) (x - 2)}{(x - 2)}$
11692	Simplify	cube root of (-8a^6)/(b^3)	$\sqrt[3]{\frac{- 8 a^{6}}{b^{3}}}$
11693	Subtract	3 square root of 3- square root of 27	$3 \sqrt{3} - \sqrt{27}$
11694	Verify the Identity	(x^2-9)/(x-3)=x+3	$\frac{x^{2} - 9}{x - 3} = x + 3$
11695	Find the Domain	(((x-y)^2)/(x+y))÷((3x+3y)/(x^2-y^2))	$\frac{{(x - y)}^{2}}{x + y} \div \frac{3 x + 3 y}{x^{2} - y^{2}}$
11696	Simplify	(a^2-7)(a+2)-(2a-1)(a-14)	$(a^{2} - 7) (a + 2) - (2 a - 1) (a - 14)$
11697	Find the Roots (Zeros)	-2x^5+2x^4+40x^3	$- 2 x^{5} + 2 x^{4} + 40 x^{3}$
11698	Factor	x^3+1+x^2+x	$x^{3} + 1 + x^{2} + x$
11699	Graph	1/4y^2+x=0	$\frac{1}{4} y^{2} + x = 0$
11700	Evaluate	7^(3x+2)<49	$7^{3 x + 2} < 49$