Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
40601	Find the Degree	-4s^3t^3+8s^5 square root of 7	$- 4 s^{3} t^{3} + 8 s^{5} \sqrt{7}$
40602	Evaluate	f^-1((3+x)/(x-2))=x+1	$f^{- 1} (\frac{3 + x}{x - 2}) = x + 1$
40603	Solve for b	s=(ab^2)/3	$s = \frac{a b^{2}}{3}$
40604	Graph	-2x-y=1 -6x=3y+3	$- 2 x - y = 1$ $- 6 x = 3 y + 3$
40605	Solve for x	2 log base 4 of 64=3 log base 4 of x	$2 \log_{4} (64) = 3 \log_{4} (x)$
40606	Convert from Radians to Degrees	(2pi)/7rad	$\frac{2 π}{7}$ rad
40607	Find the Remainder	x^5-1 is divided by x-1	$x^{5} - 1$ is divided by $x - 1$
40608	Integrate By Parts	integral of xsin(3x) with respect to x	$\int x \sin (3 x) d x$
40609	Simplify the Radical Expression	cube root of fourth root of 16	$\sqrt[3]{\sqrt[4]{16}}$
40610	Find the GCF	5x^2+30xy	$5 x^{2} + 30 x y$
40611	Solve for y	ny+nx=0	$n y + n x = 0$
40612	Solve for x	y=3x^(1/3)	$y = 3 x^{\frac{1}{3}}$
40613	Evaluate the Integral	integral of [3sin(x)-2sec(x)^2] with respect to x	$\int [3 \sin (x) - 2 \sec^{2} (x)] d x$
40614	Graph	y>=2+x	$y \geq 2 + x$
40615	Divide Using Synthetic Division	Use synthetic division to find the result when 4x^4+12x^3+18x^2+19x+9 is divided by x+1	Use synthetic division to find the result when $4 x^{4} + 12 x^{3} + 18 x^{2} + 19 x + 9$ is divided by $x + 1$
40616	Simplify	limit as x approaches 9 of (x-9)/( square root of x-3)	$lim_{x \to 9} \frac{x - 9}{\sqrt{x} - 3}$
40617	Simplify	3^x*3^(-x)	$3^{x} \cdot 3^{- x}$
40618	Solve the Inequality for x	7^(3x)<49^(1-x)	$7^{3 x} < 49^{1 - x}$
40619	Find the Exact Value	1/4*2	$\frac{1}{4} \cdot 2$
40620	Convert to Radical Form	(75/3)^(2/3)	${(\frac{75}{3})}^{\frac{2}{3}}$
40621	Simplify	[-2(x-36)]	$[- 2 (x - 36)]$
40622	Divide Using Synthetic Division	(-2x^5-x^3+5x+1)/(x+1)	$\frac{- 2 x^{5} - x^{3} + 5 x + 1}{x + 1}$
40623	Solve the Inequality for p	2>=5+p	$2 \geq 5 + p$
40624	Solve for n	3/2(7/3n+1)=3/2	$\frac{3}{2} (\frac{7}{3} n + 1) = \frac{3}{2}$
40625	Evaluate	-5/4+75/40+100%	$- \frac{5}{4} + \frac{75}{40} + 100 %$
40626	Simplify the Radical Expression	square root of 3(-5 square root of 10+ square root of 6)	$\sqrt{3} (- 5 \sqrt{10} + \sqrt{6})$
40627	Integrate By Parts	integral of natural log of cube root of x with respect to x	$\int \ln (\sqrt[3]{x}) d x$
40628	Solve by Factoring	2cos(x)^2+3cos(x)+1=0	$2 \cos^{2} (x) + 3 \cos (x) + 1 = 0$
40629	Subtract	(-5x^2-4x-1)+(-4x^2-4x)	$(- 5 x^{2} - 4 x - 1) + (- 4 x^{2} - 4 x)$
40630	Simplify	-(7x^3y)^2	$- {(7 x^{3} y)}^{2}$
40631	Evaluate the Integral	integral of (6e^x+7/x) with respect to x	$\int (6 e^{x} + \frac{7}{x}) d x$
40632	Evaluate the Limit	limit as x approaches pi/2 of (sin(x-pi/4))/x	$lim_{x \to \frac{π}{2}} \frac{\sin (x - \frac{π}{4})}{x}$
40633	Find the Derivative - d/dx	y=((x^3+4)^5)/(3x^4-2)	$y = \frac{{(x^{3} + 4)}^{5}}{3 x^{4} - 2}$
40634	Find the Antiderivative	3/(x^2+3x)	$\frac{3}{x^{2} + 3 x}$
40635	Solve for x	6(5x-2)+12=30	$6 (5 x - 2) + 12 = 30$
40636	Add	7/(n+9)+12/(4n+36)	$\frac{7}{n + 9} + \frac{12}{4 n + 36}$
40637	Solve for B	A=BC+BD	$A = B C + B D$
40638	Solve by Factoring	2e+3+7=2	$2 e + 3 + 7 = 2$
40639	Find the Function	V(r)=4/3pir^3	$V (r) = \frac{4}{3} π r^{3}$
40640	Simplify	(3^(1/3)*5^(-1/6))^6	${(3^{\frac{1}{3}} \cdot 5^{- \frac{1}{6}})}^{6}$
40641	Solve for x	3(5x-12)=5(x+4/5)	$3 (5 x - 12) = 5 (x + \frac{4}{5})$
40642	Solve the Absolute Value Inequality for c	\|4+5c\|=5	$\| 4 + 5 c \| = 5$
40643	Simplify	42÷(-6)+5	$42 \div (- 6) + 5$
40644	Divide Using Long Polynomial Division	4x^3+19x^2+29x+14 divided by 4x+7	$4 x^{3} + 19 x^{2} + 29 x + 14$ divided by $4 x + 7$
40645	Find h(g(n))	h(n)=-3n^3+2n^2 g(n)=n+1	$h (n) = - 3 n^{3} + 2 n^{2}$ $g (n) = n + 1$
40646	Solve for k	7.3*10^-11=(k^2)/0.35	$7.3 \cdot 10^{- 11} = \frac{k^{2}}{0.35}$
40647	Simplify the Radical Expression	3÷( square root of 3)	$3 \div \sqrt{3}$
40648	Solve for y	3*10^(2y)=3600	$3 \cdot 10^{2 y} = 3600$
40649	Find the Roots (Zeros)	x^2-7x-5ix-15i+12	$x^{2} - 7 x - 5 i x - 15 i + 12$
40650	Find the Equation Using Slope-Intercept Form	m=5 and b=-3	$m = 5$ and $b = - 3$
40651	Simplify	cube root of square root of 216y^3	$\sqrt[3]{\sqrt{216 y^{3}}}$
40652	Divide	((4x)/(x^2+x-42))÷((x^3)/(x^2-49))	$\frac{4 x}{x^{2} + x - 42} \div \frac{x^{3}}{x^{2} - 49}$
40653	Simplify	((x^2-y^2)/(4x+4y))÷((3y-3x)/(12x^2))	$\frac{x^{2} - y^{2}}{4 x + 4 y} \div \frac{3 y - 3 x}{12 x^{2}}$
40654	Solve for a	c/a=r/d	$\frac{c}{a} = \frac{r}{d}$
40655	Multiply	(4+3 square root of x)(4+3 square root of x)	$(4 + 3 \sqrt{x}) (4 + 3 \sqrt{x})$
40656	Rationalize the Denominator	(5- square root of 3)/( square root of 3+2)	$\frac{5 - \sqrt{3}}{\sqrt{3} + 2}$
40657	Write in Standard Form	f^2-2f+f^4	$f^{2} - 2 f + f^{4}$
40658	Solve the System of Inequalities	x-2<6 or x/3>4	$x - 2 < 6$ or $\frac{x}{3} > 4$
40659	Solve the System of Equations	1/3x+2y=-1 y=2/3x-3	$\frac{1}{3} x + 2 y = - 1$ $y = \frac{2}{3} x - 3$
40660	Solve for x in Degrees	7tan(x)sin(x)=-6sin(x)	$7 \tan (x) \sin (x) = - 6 \sin (x)$
40661	Multiply	75/33/7	$7 \cdot \frac{5}{3} \cdot \frac{3}{7}$
40662	Simplify	fourth root of x^(2/3)	$\sqrt[4]{x^{\frac{2}{3}}}$
40663	Graph	-x+y=x-5	$- x + y = x - 5$
40664	Write as a Single Logarithm	log base 4 of 5+ log base 4 of b+ log base 4 of c- log base 4 of d	$\log_{4} (5) + \log_{4} (b) + \log_{4} (c) - \log_{4} (d)$
40665	Find the Domain and Range	- log base 3 of x+2	$- \log_{3} (x) + 2$
40666	Solve the Inequality for x	(0.2)^(x+1)<0.04	${(0.2)}^{x + 1} < 0.04$
40667	Simplify	( cube root of 4v^7)( cube root of 80v^5)	$(\sqrt[3]{4 v^{7}}) (\sqrt[3]{80 v^{5}})$
40668	Find the Exact Value	sin(30)^2+cos(45)^2	$\sin^{2} (30) + \cos^{2} (45)$
40669	Solve Over the Interval	sin(2x)=sin(x) and 0<=x<=2pi	$\sin (2 x) = \sin (x)$ and $0 \leq x \leq 2 π$
40670	Evaluate the Integral	integral of square root of (x^2)/2 with respect to x	$\int \sqrt{\frac{x^{2}}{2}} d x$
40671	Simplify	-5m^4n^-3p^0	$- 5 m^{4} n^{- 3} p^{0}$
40672	Find the Holes in the Graph	(x^2-5x+4)/(2x^2-2x)	$\frac{x^{2} - 5 x + 4}{2 x^{2} - 2 x}$
40673	Write in Standard Form	f(x)=8x^2+10x^7-7x^3-x^4	$f (x) = 8 x^{2} + 10 x^{7} - 7 x^{3} - x^{4}$
40674	Solve for y	5y+1=8y-5+6y	$5 y + 1 = 8 y - 5 + 6 y$
40675	Simplify	(4d^2t^5v^-4)+(-5dt^-3v^-1)	$(4 d^{2} t^{5} v^{- 4}) + (- 5 d t^{- 3} v^{- 1})$
40676	Solve the Inequality for x	1/5<(2x-4)/3<6	$\frac{1}{5} < \frac{2 x - 4}{3} < 6$
40677	Solve for x	cos(x)-1/2=0	$\cos (x) - \frac{1}{2} = 0$
40678	Identify the Sequence	5/6 , 2/3 , 1/2 , 1/3	$\frac{5}{6}$ , $\frac{2}{3}$ , $\frac{1}{2}$ , $\frac{1}{3}$
40679	Convert to a Decimal	2rev per s	$2$ revolutions per second
40680	Find the Derivative - d/dy	d/(dy) natural log of x^2+y^2	$\frac{d}{d y} \ln (x^{2} + y^{2})$
40681	Simplify	(12x^3-8x^2)/(2x^2)	$\frac{12 x^{3} - 8 x^{2}}{2 x^{2}}$
40682	Simplify	((27p^5)(-8p^10))^(1/3)	${((27 p^{5}) (- 8 p^{10}))}^{\frac{1}{3}}$
40683	Simplify	square root of cube root of 4^10	$\sqrt{\sqrt[3]{4^{10}}}$
40684	Divide	( cube root of 18y^2)/( cube root of 12y)	$\frac{\sqrt[3]{18 y^{2}}}{\sqrt[3]{12 y}}$
40685	Evaluate	(4^2-5^2)*5	$(4^{2} - 5^{2}) \cdot 5$
40686	Solve for b	(4b+5)/(5b-11)=6/9	$\frac{4 b + 5}{5 b - 11} = \frac{6}{9}$
40687	Add	(x+2x^2)+(4x^2+7x)	$(x + 2 x^{2}) + (4 x^{2} + 7 x)$
40688	Simplify	-2y^3+3y-3y+7y^3+1+2-5	$- 2 y^{3} + 3 y - 3 y + 7 y^{3} + 1 + 2 - 5$
40689	Solve for x	1/2(8x+26)=13+4x	$\frac{1}{2} (8 x + 26) = 13 + 4 x$
40690	Evaluate	natural log of 3- natural log of 2	$\ln (3) - \ln (2)$
40691	Solve the Inequality for w	w+1<-3	$w + 1 < - 3$
40692	Simplify	4(x-4)-2(3x^2+3x-20)	$4 (x - 4) - 2 (3 x^{2} + 3 x - 20)$
40693	Simplify	fifth root of (243x^7)/(y^14z^21)	$\sqrt[5]{\frac{243 x^{7}}{y^{14} z^{21}}}$
40694	Solve the System of Equations	x-5y+7z=-1 x+y+9z=-7 -x+6y-8z=0	$x - 5 y + 7 z = - 1$ $x + y + 9 z = - 7$ $- x + 6 y - 8 z = 0$
40695	Find the Cotangent Given the Point	(1/5,-(2 square root of 6)/5)	$(\frac{1}{5}, - \frac{2 \sqrt{6}}{5})$
40696	Graph	y=-2 (x-1)^2-5	$y = - 2$ ${(x - 1)}^{2} - 5$
40697	Solve for x	1/4+3/(2x)=-3/(4x)	$\frac{1}{4} + \frac{3}{2 x} = - \frac{3}{4 x}$
40698	Evaluate the Integral	integral of (2x)/(x^2) with respect to x	$\int \frac{2 x}{x^{2}} d x$
40699	Find the Domain and Range	1/2*2^x-6	$\frac{1}{2} \cdot 2^{x} - 6$
40700	Solve for x	p(x)=0	$p (x) = 0$