Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
36701	Simplify	x^-44x^43x^0	$x^{- 4} \cdot 4 x^{4} \cdot 3 x^{0}$
36702	Add	1/3+-4	$\frac{1}{3} + - 4$
36703	Simplify	3b1/2*b4/3	$3 b \frac{1}{2} \cdot b \frac{4}{3}$
36704	Evaluate the Limit	limit as x approaches infinity of (x^2)/(e^(2x))	$lim_{x \to \infty} \frac{x^{2}}{e^{2 x}}$
36705	Find the Asymptotes	y=2/3+1/x	$y = \frac{2}{3} + \frac{1}{x}$
36706	Divide Using Long Polynomial Division	(2x^4+4x^3-5x^2+3x-2)/(x^2+2x-3)	$\frac{2 x^{4} + 4 x^{3} - 5 x^{2} + 3 x - 2}{x^{2} + 2 x - 3}$
36707	Solve the Inequality for n	-11>=6-2n-5	$- 11 \geq 6 - 2 n - 5$
36708	Simplify	(-2-4i)^2(-x)	${(- 2 - 4 i)}^{2} (- x)$
36709	Simplify	((x^6y^3)/(x^3y^-3)*(y^-7)/(x^-3))^10	${(\frac{x^{6} y^{3}}{x^{3} y^{- 3}} \cdot \frac{y^{- 7}}{x^{- 3}})}^{10}$
36710	Simplify	(n+6)/(10n+4)+(2n)/3	$\frac{n + 6}{10 n + 4} + \frac{2 n}{3}$
36711	Solve for x	tan(2x)+tan(x)=0	$\tan (2 x) + \tan (x) = 0$
36712	Find the Equation Using Slope-Intercept Form	(4,2) ; slope 12	$(4, 2)$ ; slope $12$
36713	Evaluate the Integral	integral of (2x+4)/(x^2+9) with respect to x	$\int \frac{2 x + 4}{x^{2} + 9} d x$
36714	Simplify the Radical Expression	square root of 81+ square root of -7+ square root of 9+ square root of -112	$\sqrt{81} + \sqrt{- 7} + \sqrt{9} + \sqrt{- 112}$
36715	Simplify	square root of (8x^5y^7z^4)/(24x^3y^2z^7)	$\sqrt{\frac{8 x^{5} y^{7} z^{4}}{24 x^{3} y^{2} z^{7}}}$
36716	Solve the Inequality for k	4/5(4k-1)>=5/4(3k-2)	$\frac{4}{5} (4 k - 1) \geq \frac{5}{4} (3 k - 2)$
36717	Evaluate the Function	g(x)=5/(x-1) at x=2	$g (x) = \frac{5}{x - 1}$ at $x = 2$
36718	Graph	2-\|x-1\|	$2 - \| x - 1 \|$
36719	Solve by Factoring	fourth root of 2=2^(1/4)	$\sqrt[4]{2} = 2^{\frac{1}{4}}$
36720	Find the Integral	(10t^-3+12t^-9+4t^3)dt	$(10 t^{- 3} + 12 t^{- 9} + 4 t^{3}) d t$
36721	Find the Derivative - d/dx	(2x^2)/2	$\frac{2 x^{2}}{2}$
36722	Simplify	-2y^3(5xy^4)	$- 2 y^{3} (5 x y^{4})$
36723	Factor	determine the factors of 144x^2-64	determine the factors of $144 x^{2} - 64$
36724	Find Amplitude, Period, and Phase Shift	y=1/3cos(2x+4pi)	$y = \frac{1}{3} \cos (2 x + 4 π)$
36725	Multiply	( square root of 8x^4y^2)( square root of 12x^4y^2)	$(\sqrt{8 x^{4} y^{2}}) (\sqrt{12 x^{4} y^{2}})$
36726	Evaluate	-( square root of 3)/(2/(1/2))	$- \frac{\sqrt{3}}{\frac{2}{\frac{1}{2}}}$
36727	Solve for x	2x(x+3)+2(x+3)=0	$2 x (x + 3) + 2 (x + 3) = 0$
36728	Add	1/3+-2/3	$\frac{1}{3} + - \frac{2}{3}$
36729	Simplify	x-(3x-8)^2	$x - {(3 x - 8)}^{2}$
36730	Write in Standard Form	(x^2+x-1)(3x^2+6x+6)	$(x^{2} + x - 1) (3 x^{2} + 6 x + 6)$
36731	Evaluate	3(32-10)+48	$3 \cdot (32 - 10) + 4 \cdot 8$
36732	Solve for c	125^c=25^(c-4)	$125^{c} = 25^{c - 4}$
36733	Simplify	(8x-40)/(40-3x-x^2)*(x-8)/(2x^2-8x)	$\frac{8 x - 40}{40 - 3 x - x^{2}} \cdot \frac{x - 8}{2 x^{2} - 8 x}$
36734	Find the Derivative - d/dx	(8cos(x-1))	$(8 \cos (x - 1))$
36735	Simplify the Radical Expression	2 square root of 18+3 cube root of 27-4 cube root of 16	$2 \sqrt{18} + 3 \sqrt[3]{27} - 4 \sqrt[3]{16}$
36736	Evaluate the Limit	limit as x approaches 0 from the right of x natural log of 3x+4x^2	$lim_{x \to 0^{+}} x \ln (3 x + 4 x^{2})$
36737	Find the Antiderivative	4e^x+x	$4 e^{x} + x$
36738	Solve for x	4^x-12*2^x=-32	$4^{x} - 12 \cdot 2^{x} = - 32$
36739	Evaluate Using the Given Value	25-3x if x=6	$25 - 3 x$ if $x = 6$
36740	Simplify	2(x+y)+9x+6y	$2 (x + y) + 9 x + 6 y$
36741	Find the GCF	7k^2+9k	$7 k^{2} + 9 k$
36742	Simplify	5(4-5^(1/2))	$5 (4 - 5^{\frac{1}{2}})$
36743	Find dy/dx	-4x^2=-y^2-y^3	$- 4 x^{2} = - y^{2} - y^{3}$
36744	Evaluate	(-3-i)+4i-(12+16i)	$(- 3 - i) + 4 i - (12 + 16 i)$
36745	Simplify	(3m^2+2mn-n^2)+(m^2+4mn-n^2)	$(3 m^{2} + 2 m n - n^{2}) + (m^{2} + 4 m n - n^{2})$
36746	Convert to Meters	12742km convert to m	$12742 kilometers$ convert to $meter$
36747	Solve for n	3+ square root of n-2=7	$3 + \sqrt{n - 2} = 7$
36748	Solve for p	-1/2(6p+16)=7	$- \frac{1}{2} (6 p + 16) = 7$
36749	Simplify	1/10+1/6	$\frac{1}{10} + \frac{1}{6}$
36750	Simplify/Condense	natural log of x-3 natural log of y+1/2 natural log of z	$\ln (x) - 3 \ln (y) + \frac{1}{2} \ln (z)$
36751	Evaluate	cos((2n+1)*90 degrees )	$\cos ((2 n + 1) \cdot 90 °)$
36752	Divide	(5/2)÷(-15/17)	$\frac{5}{2} \div (- \frac{15}{17})$
36753	Simplify	( square root of 25x^3)/( square root of 4)	$\frac{\sqrt{25 x^{3}}}{\sqrt{4}}$
36754	Simplify	3 square root of -64i	$3 \sqrt{- 64 i}$
36755	Solve for x	-1/2x-3/5=1/5x	$- \frac{1}{2} x - \frac{3}{5} = \frac{1}{5} x$
36756	Solve for t	(2(4t-6t))/40=(7+2)/3	$\frac{2 (4 t - 6 t)}{40} = \frac{(7 + 2)}{3}$
36757	Find the Exact Value	cos(30 degrees )+cos(150 degrees )+cos(210 degrees )+cos(330 degrees )	$\cos (30 °) + \cos (150 °) + \cos (210 °) + \cos (330 °)$
36758	Find the Antiderivative	f(x)=1/( square root of 42-3x)	$f (x) = \frac{1}{\sqrt{42 - 3 x}}$
36759	Solve for x	x^2=5/6x-1/6	$x^{2} = \frac{5}{6} x - \frac{1}{6}$
36760	Factor	1/6x+3/4(1/2x-4)	$\frac{1}{6} x + \frac{3}{4} (\frac{1}{2} x - 4)$
36761	Simplify the Radical Expression	i^24	$i^{24}$
36762	Solve for x	2x^2-11/2x-3/2=0	$2 x^{2} - \frac{11}{2} x - \frac{3}{2} = 0$
36763	Multiply	square root of 14/3* square root of 21/2	$\sqrt{\frac{14}{3}} \cdot \sqrt{\frac{21}{2}}$
36764	Graph Using a Table of Values	-2(1/2)^x	$- 2 {(\frac{1}{2})}^{x}$
36765	Solve for x	seventh root of (5^16+5^x)/(5^x+5^2)=5	$\sqrt[7]{\frac{5^{16} + 5^{x}}{5^{x} + 5^{2}}} = 5$
36766	Solve for x	7z+13x-4(x-6)=18x	$7 z + 13 x - 4 (x - 6) = 18 x$
36767	Factor	-x^3+3x^2-4	$- x^{3} + 3 x^{2} - 4$
36768	Simplify	(11^(4/5)*11^(-4/5))^2	${(11^{\frac{4}{5}} \cdot 11^{- \frac{4}{5}})}^{2}$
36769	Solve by Addition/Elimination	4x=2y+18 x-8y=12	$4 x = 2 y + 18$ $x - 8 y = 12$
36770	Evaluate Using the Given Value	x-3 for x=5	$x - 3$ for $x = 5$
36771	Add	(6x+9)-(7x+1)	$(6 x + 9) - (7 x + 1)$
36772	Solve the Inequality for b₁	A=1/2h(b_1+b_2)	$A = \frac{1}{2} h (b_{1} + b_{2})$
36773	Simplify	2^-14*5^10	$2^{- 14} \cdot 5^{10}$
36774	Divide Using Long Polynomial Division	(x^2+x-6)/(x+3)	$\frac{x^{2} + x - 6}{x + 3}$
36775	Simplify	(3/(4x^3))÷((10x)/3)	$\frac{3}{4 x^{3}} \div \frac{10 x}{3}$
36776	Solve the Rational Equation for x	(3x-21)^(1/3)=(19-x)^(1/3)	${(3 x - 21)}^{\frac{1}{3}} = {(19 - x)}^{\frac{1}{3}}$
36777	Solve for x	(x+9)/(x^2-5x+6)<=0	$\frac{x + 9}{x^{2} - 5 x + 6} \leq 0$
36778	Convert to a Percentage	what percent of 29 is 3	what percent of $29$ is $3$
36779	Evaluate	9/(v-3)-5/(v+1)=28/(v^2-2v-3)	$\frac{9}{v - 3} - \frac{5}{v + 1} = \frac{28}{v^{2} - 2 v - 3}$
36780	Simplify	cos(x)^2*csc(x)-csc(x)	$\cos^{2} (x) \cdot \csc (x) - \csc (x)$
36781	Multiply	-x^2*(-x)	$- x^{2} \cdot (- x)$
36782	Evaluate	40% of 120	$40 %$ of $120$
36783	Find the Antiderivative	f(x)=9/(cos(x)^2)-3sin(x)	$f (x) = \frac{9}{\cos^{2} (x)} - 3 \sin (x)$
36784	Evaluate the Limit	limit as x approaches -3 of (x^2+3x)/(4(x+3))	$lim_{x \to - 3} \frac{x^{2} + 3 x}{4 (x + 3)}$
36785	Simplify	6/( square root of 4y^7)	$\frac{6}{\sqrt{4 y^{7}}}$
36786	Simplify	(8+w)(64-8w+w^2)	$(8 + w) (64 - 8 w + w^{2})$
36787	Write in Standard Form	y=-1/2x^2+4x-3	$y = \frac{- 1}{2} x^{2} + 4 x - 3$
36788	Integrate Using u-Substitution	integral of x^(1/3)(x^(4/3)+9)^8 with respect to x	$\int x^{\frac{1}{3}} {(x^{\frac{4}{3}} + 9)}^{8} d x$
36789	Factor by Grouping	24x^3y^2-18xy^3+12y^3	$24 x^{3} y^{2} - 18 x y^{3} + 12 y^{3}$
36790	Expand the Logarithmic Expression	log base 9 of (4^3)/5	$\log_{9} (\frac{4^{3}}{5})$
36791	Write in Standard Form	x^2-6=x	$x^{2} - 6 = x$
36792	Solve for x	(x-6)/4<(x-3)/6+1/12	$\frac{x - 6}{4} < \frac{x - 3}{6} + \frac{1}{12}$
36793	Eliminate the Parameter	x=2+4t and y=-1+6t	$x = 2 + 4 t$ and $y = - 1 + 6 t$
36794	Graph	y=2 log base 2 of -x+2-2	$y = 2 \log_{2} (- x + 2) - 2$
36795	Solve for v	5v^2+17v+5=6v	$5 v^{2} + 17 v + 5 = 6 v$
36796	Solve the Inequality for x	-30<=-3/4(x+4)	$- 30 \leq - \frac{3}{4} (x + 4)$
36797	Solve for n	2 1/10n=1 1/6	$2 \frac{1}{10} n = 1 \frac{1}{6}$
36798	Find dy/dx	-3=xy-y	$- 3 = x y - y$
36799	Find the Exact Value	sin((3pi)/4)+cos((5pi)/4)	$\sin (\frac{3 π}{4}) + \cos (\frac{5 π}{4})$
36800	Simplify	y/(x^2)+1/(x^2y^2)	$\frac{y}{x^{2}} + \frac{1}{x^{2} y^{2}}$