Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
16601	Solve for x	4/x+x=5	$\frac{4}{x} + x = 5$
16602	Solve for x	5x+y=-9y	$5 x + y = - 9 y$
16603	Simplify	(3z)/(5z-25)-(z+1)/(2z-10)	$\frac{3 z}{5 z - 25} - \frac{z + 1}{2 z - 10}$
16604	Evaluate	2^3(3*5^2+2^2)	$2^{3} (3 \times 5^{2} + 2^{2})$
16605	Find All Complex Solutions	20y^2-20y-5=y	$20 y^{2} - 20 y - 5 = y$
16606	Multiply	(-a+y)(-1-y)	$(- a + y) (- 1 - y)$
16607	Find the Tangent Given the Point	((3 square root of 10)/10,-( square root of 10)/10)	$(\frac{3 \sqrt{10}}{10}, - \frac{\sqrt{10}}{10})$
16608	Find the Secant Given the Point	((3 square root of 10)/10,-( square root of 10)/10)	$(\frac{3 \sqrt{10}}{10}, - \frac{\sqrt{10}}{10})$
16609	Graph	y=cos(3x+2pi)-2	$y = \cos (3 x + 2 π) - 2$
16610	Evaluate	square root of 3*( square root of 3)/2	$\sqrt{3} \cdot \frac{\sqrt{3}}{2}$
16611	Find the x and y Intercepts	y=6x-1/x-5	$y = 6 x - \frac{1}{x} - 5$
16612	Solve for x	1-1/(1-x)=2/(x^2-1)	$1 - \frac{1}{1 - x} = \frac{2}{x^{2} - 1}$
16613	Simplify	8 square root of 64- square root of 96	$8 \sqrt{64} - \sqrt{96}$
16614	Convert to a Decimal	-3rad	$- 3$ radians
16615	Simplify the Radical Expression	(4x^2)/(2x^(1/2))	$\frac{4 x^{2}}{2 x^{\frac{1}{2}}}$
16616	Find All Complex Solutions	v^2+4v+9=-2v	$v^{2} + 4 v + 9 = - 2 v$
16617	Evaluate	41-(5+(12-8)2)+63	$41 - (5 + (12 - 8) \cdot 2) + 6 \cdot 3$
16618	Find the Maximum/Minimum Value	f(x)=x^4-4x^3+2x^2+4x-3	$f (x) = x^{4} - 4 x^{3} + 2 x^{2} + 4 x - 3$
16619	Solve for x	6x-4+2(5x+2)=16x	$6 x - 4 + 2 (5 x + 2) = 16 x$
16620	Find the Exact Value	sin(1/(2/(7pi)))	$\sin (\frac{1}{\frac{2}{7 π}})$
16621	Solve the Differential Equation	y'=(y^2+x^2)/(2xy)	$y' = \frac{y^{2} + x^{2}}{2 x y}$
16622	Simplify	(3t)/(2-x)+5/(x-2)	$\frac{3 t}{2 - x} + \frac{5}{x - 2}$
16623	Evaluate	(pi/2)/(1/2)	$\frac{\frac{π}{2}}{\frac{1}{2}}$
16624	Simplify	2/(x-2)+x/(x^2-x-6)	$\frac{2}{x - 2} + \frac{x}{x^{2} - x - 6}$
16625	Simplify	square root of 3( square root of 6+ square root of 8)	$\sqrt{3} (\sqrt{6} + \sqrt{8})$
16626	Evaluate	5% of 20	$5 %$ of $20$
16627	Find the Exact Value	cot(495 degrees )	$\cot (495 °)$
16628	Find dy/dx	x^2+y^3=-2+y^2	$x^{2} + y^{3} = - 2 + y^{2}$
16629	Simplify	(-3m^2+m)+(4m^2+6m)	$(- 3 m^{2} + m) + (4 m^{2} + 6 m)$
16630	Simplify	(3-12x)/(-20x+5)	$\frac{3 - 12 x}{- 20 x + 5}$
16631	Evaluate	(csc(pi/6)+sec((5pi)/3))/(2sin(pi))	$\frac{\csc (\frac{π}{6}) + \sec (\frac{5 π}{3})}{2 \sin (π)}$
16632	Find the Slope	(3,-5) and (3,2)	$(3, - 5)$ and $(3, 2)$
16633	Solve for x	5(x+20)=7x+307x+30	$5 (x + 20) = 7 x + 307 x + 30$
16634	Find the Derivative - d/dx	2cos(x)+cos(2x)	$2 \cos (x) + \cos (2 x)$
16635	Simplify	343^(2/3)*32^(2/5)	$343^{\frac{2}{3}} \cdot 32^{\frac{2}{5}}$
16636	Simplify	sin(theta)csc(theta)+cos(theta)sec(theta)	$\sin (θ) \csc (θ) + \cos (θ) \sec (θ)$
16637	Write Using Positive Exponents	(a^-3)/(b^-5)	$\frac{a^{- 3}}{b^{- 5}}$
16638	Find the GCF	(6x^2+4x)+(4x^2-8x)	$(6 x^{2} + 4 x) + (4 x^{2} - 8 x)$
16639	Simplify the Radical Expression	square root of (r^4g^6p^2)^3	$\sqrt{{(r^{4} g^{6} p^{2})}^{3}}$
16640	Find the Domain	square root of 5- square root of 2x-1	$\sqrt{5 - \sqrt{2 x - 1}}$
16641	Evaluate the Integral	integral of (3sec(6x)tan(6x)-5xcsc(2x^2)^2) with respect to x	$\int (3 \sec (6 x) \tan (6 x) - 5 x \csc^{2} (2 x^{2})) d x$
16642	Simplify	square root of 324- square root of 400+2 square root of 25	$\sqrt{324} - \sqrt{400} + 2 \sqrt{25}$
16643	Evaluate the Integral	integral of (x^2-3x+5)e^x with respect to x	$\int (x^{2} - 3 x + 5) e^{x} d x$
16644	Convert to Trigonometric Form	sin(theta)+cos(theta)*cot(theta)	$\sin (θ) + \cos (θ) \cdot \cot (θ)$
16645	Graph	3x+4y>12 y>2x-1	$3 x + 4 y > 12$ $y > 2 x - 1$
16646	Graph Using a Table of Values	f(x)=\|x\|-1	$f (x) = \| x \| - 1$
16647	Simplify	(2x^2+x-1)/(4x^2-3x+2)	$\frac{2 x^{2} + x - 1}{4 x^{2} - 3 x + 2}$
16648	Simplify	16/(a^0)+b^0	$\frac{16}{a^{0}} + b^{0}$
16649	Divide	((x^2-x-12)/(3x-9))÷((x-4)/12)	$\frac{x^{2} - x - 12}{3 x - 9} \div \frac{x - 4}{12}$
16650	Factor	(5x+4)^2-(10x-7)^2	${(5 x + 4)}^{2} - {(10 x - 7)}^{2}$
16651	Solve for x	3(4x-2)-5x=6-7(-x-2)	$3 (4 x - 2) - 5 x = 6 - 7 (- x - 2)$
16652	Evaluate	sin(2x)=sin(x)	$\sin (2 x) = \sin (x)$
16653	Multiply	(m^4+m^2n^2+n^4)*(m^2-n^2)	$(m^{4} + m^{2} n^{2} + n^{4}) \cdot (m^{2} - n^{2})$
16654	Solve for x	36^(1/3+4x) = square root of 6	$36^{\frac{1}{3} + 4 x} = \sqrt{6}$
16655	Find the Derivative - d/dx	y=(12e^(6x)-9e^(8x))/(3e^(3x))	$y = \frac{12 e^{6 x} - 9 e^{8 x}}{3 e^{3 x}}$
16656	Simplify	cube root of (250f^7g^3)/(2f^2g)	$\sqrt[3]{\frac{250 f^{7} g^{3}}{2 f^{2} g}}$
16657	Solve for x	2^(3x+8)>=8	$2^{3 x + 8} \geq 8$
16658	Solve for y	-15+4(2-5y)=-7(y-4)+4	$- 15 + 4 (2 - 5 y) = - 7 (y - 4) + 4$
16659	Find the Inverse	y=1/3(x+7)^3-5	$y = \frac{1}{3} {(x + 7)}^{3} - 5$
16660	Multiply	6/(x^2+9x+20)*(8x+40)/(6x-12)	$\frac{6}{x^{2} + 9 x + 20} \cdot \frac{8 x + 40}{6 x - 12}$
16661	Solve by Addition/Elimination	11+y=-5x 3y=47+5x	$11 + y = - 5 x$ $3 y = 47 + 5 x$
16662	Simplify	((24a^11b^16c^6)/(18a^6b^6c^6))^3	${(\frac{24 a^{11} b^{16} c^{6}}{18 a^{6} b^{6} c^{6}})}^{3}$
16663	Find the Roots (Zeros)	(x-2)	$(x - 2)$
16664	Solve the Function Operation	f(x)=2x^2-4x+13 g(x)=3x-5 Find: (gof)(x)	$f (x) = 2 x^{2} - 4 x + 13$ $g (x) = 3 x - 5$ Find: $((g \circ f)) (x)$
16665	Find the Product	(3x^2)^3	${(3 x^{2})}^{3}$
16666	Find the Maximum/Minimum Value	f(x)=-x(x+2)(x-2)	$f (x) = - x (x + 2) (x - 2)$
16667	Write in Standard Form	f(x)=4^x+2x^2+x+5	$f (x) = 4^{x} + 2 x^{2} + x + 5$
16668	Divide Using Long Polynomial Division	Use the long division method to find the result when 6x^3+10x^2+7x+2 is divided by 3x+2	Use the long division method to find the result when $6 x^{3} + 10 x^{2} + 7 x + 2$ is divided by $3 x + 2$
16669	Simplify	10(25^(2/3))-6*25^(2/3)	$10 (25^{\frac{2}{3}}) - 6 \cdot 25^{\frac{2}{3}}$
16670	Simplify	1 2/5m-3/5(2/3m+1)	$1 \frac{2}{5} m - \frac{3}{5} (\frac{2}{3} m + 1)$
16671	Find the Quotient	(x^2-3x-18)÷(x+3)	$(x^{2} - 3 x - 18) \div (x + 3)$
16672	Convert to a Decimal	280deg	$280$ degrees
16673	Find the Asymptotes	f(x)=(9x^6)/(7x)	$f (x) = \frac{9 x^{6}}{7 x}$
16674	Simplify	(3/2+( square root of 3)/3i)^2	${(\frac{3}{2} + \frac{\sqrt{3}}{3} i)}^{2}$
16675	Simplify	cube root of 108^5a^9b^6	$\sqrt[3]{108^{5} a^{9} b^{6}}$
16676	Solve the Inequality for x	-12<5-x<17	$- 12 < 5 - x < 17$
16677	Simplify	cube root of 3* sixth root of 2	$\sqrt[3]{3} \cdot \sqrt[6]{2}$
16678	Solve for x	\|3x+3/7\|=2 1/3	$\| 3 x + \frac{3}{7} \| = 2 \frac{1}{3}$
16679	Graph	y=-3x+11 2y=4x-5	$y = - 3 x + 11$ $2 y = 4 x - 5$
16680	Find the Domain	f(x)=1/( square root of 7x^2+20x-3)	$f (x) = \frac{1}{\sqrt{7 x^{2} + 20 x - 3}}$
16681	Simplify	(9x^3-63x^2-72x)/(x+1)(x^2-14x+40)/(x^2-18x+80)(x^2-16)/(x^2-16)	$\frac{9 x^{3} - 63 x^{2} - 72 x}{x + 1} \cdot \frac{x^{2} - 14 x + 40}{x^{2} - 18 x + 80} \cdot \frac{x^{2} - 16}{x^{2} - 16}$
16682	Graph Using a Table of Values	f(x)=-2(1/5)^(x+4)+8	$f (x) = - 2 {(\frac{1}{5})}^{x + 4} + 8$
16683	Simplify	20 cube root of x-10 fourth root of y+ fourth root of y-5 cube root of x	$20 \sqrt[3]{x} - 10 \sqrt[4]{y} + \sqrt[4]{y} - 5 \sqrt[3]{x}$
16684	Find the Inverse	y=1/3(x-9)^3	$y = \frac{1}{3} {(x - 9)}^{3}$
16685	Solve the Rational Equation for x	square root of 3x=9	$\sqrt{3 x} = 9$
16686	Solve for r	16^(r+8)-9.6=75	$16^{r + 8} - 9.6 = 75$
16687	Simplify	-x(x-a)(x+b)	$- x (x - a) (x + b)$
16688	Solve for x	1/4+(2x+1)/(4x)=1	$\frac{1}{4} + \frac{2 x + 1}{4 x} = 1$
16689	Solve for Y	11/Y=9/27	$\frac{11}{Y} = \frac{9}{27}$
16690	Subtract	(8x^2)/(x-3)-(24x)/(x-3)	$\frac{8 x^{2}}{x - 3} - \frac{24 x}{x - 3}$
16691	Evaluate the Integral	integral from 1 to 2 of (-4x^(3/2)+2 square root of x-4x^3) with respect to x	$\int_{1}^{2} (- 4 x^{\frac{3}{2}} + 2 \sqrt{x} - 4 x^{3}) d x$
16692	Find the Roots (Zeros)	9x^2=4+7x	$9 x^{2} = 4 + 7 x$
16693	Write as a Single Logarithm	2 natural log of x+ natural log of x+1	$2 \ln (x) + \ln (x + 1)$
16694	Graph	y>=2 x<=-1	$y \geq 2$ $x \leq - 1$
16695	Find the Reference Angle	tan(765 degrees )	$\tan (765 °)$
16696	Evaluate	(-85-(-60))/(5(5-6))	$\frac{- 85 - (- 60)}{5 (5 - 6)}$
16697	Find All Complex Solutions	square root of x+2=-x	$\sqrt{x + 2} = - x$
16698	Solve the Function Operation	Given g(x)=-3x-4 ; find g(1)	Given $g (x) = - 3 x - 4$ ; find $g (1)$
16699	Find the Secant Given the Point	(3 1/2,-2 square root of 15)	$(3 \frac{1}{2}, - 2 \sqrt{15})$
16700	Integrate Using u-Substitution	integral from 1 to 2 of (e^(1/x))/(x^2) with respect to x	$\int_{1}^{2} \frac{e^{\frac{1}{x}}}{x^{2}} d x$