Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
8301	Find the Asymptotes	f(x)=(x+5)/(x^3+27)	$f (x) = \frac{x + 5}{x^{3} + 27}$
8302	Simplify	sixth root of 3* sixth root of 3	$\sqrt[6]{3} \cdot \sqrt[6]{3}$
8303	Find the Asymptotes	((x+1)^2)/(x^2-3x-4)	$\frac{{(x + 1)}^{2}}{x^{2} - 3 x - 4}$
8304	Solve for p	-8.2p+3.55=-0.6p-3.45-8.6p	$- 8.2 p + 3.55 = - 0.6 p - 3.45 - 8.6 p$
8305	Graph	f(x)=2*tan(2)(x-(3pi)/4)	$f (x) = 2 \cdot \tan (2) (x - \frac{3 π}{4})$
8306	Graph	1<=y<=5 y>=4x-3 y>=-4x-3 f(x,y)=-8x+y	$1 \leq y \leq 5$ $y \geq 4 x - 3$ $y \geq - 4 x - 3$ $f (x, y) = - 8 x + y$
8307	Find the Second Derivative	(x^2-1)/x	$\frac{x^{2} - 1}{x}$
8308	Simplify	(x^(3n)*x^(n-2))^3	${(x^{3 n} \cdot x^{n - 2})}^{3}$
8309	Simplify	((10r+6)/(6r^2+42r))÷((15r^2-21r-18)/(3r-6))	$\frac{10 r + 6}{6 r^{2} + 42 r} \div \frac{15 r^{2} - 21 r - 18}{3 r - 6}$
8310	Solve the Function Operation	f(x)=x^2+x-1 g(x)=-3x+12 Find: g(f(x))	$f (x) = x^{2} + x - 1$ $g (x) = - 3 x + 12$ Find: $g (f (x))$
8311	Find the Excluded Values	((x+8)/(x^2-6x-7))/((x^2+16x+64)/(x+1))	$\frac{\frac{x + 8}{x^{2} - 6 x - 7}}{\frac{x^{2} + 16 x + 64}{x + 1}}$
8312	Simplify	4/5x+3/8+3/10x	$\frac{4}{5} x + \frac{3}{8} + \frac{3}{10} x$
8313	Evaluate	(11pi)/12=(3pi)/4+pi/6	$\frac{11 π}{12} = \frac{3 π}{4} + \frac{π}{6}$
8314	Solve the Inequality for θ	tan(theta)>0	$\tan (θ) > 0$
8315	Simplify the Radical Expression	fourth root of (4a^3b^2)/(2a^2b^3)	$\sqrt[4]{\frac{4 a^{3} b^{2}}{2 a^{2} b^{3}}}$
8316	Evaluate	y=e^-4	$y = e^{- 4}$
8317	Add	(1/3x+1/4)+(1/2x-2/3)	$(\frac{1}{3} x + \frac{1}{4}) + (\frac{1}{2} x - \frac{2}{3})$
8318	Simplify	(9x)/5*5/(4x^2)	$\frac{9 x}{5} \cdot \frac{5}{4 x^{2}}$
8319	Solve for x	natural log of x-4 = natural log of x+2+ natural log of 3	$\ln (x - 4) = \ln (x + 2) + \ln (3)$
8320	Simplify the Radical Expression	8/(6+ square root of 7)	$\frac{8}{6 + \sqrt{7}}$
8321	Simplify	3 square root of 3+5 square root of 3-2 square root of 5	$3 \sqrt{3} + 5 \sqrt{3} - 2 \sqrt{5}$
8322	Solve the Inequality for x	5^(2x+1)<=125	$5^{2 x + 1} \leq 125$
8323	Find the Degree, Leading Term, and Leading Coefficient	1-(x^2)/9	$1 - \frac{x^{2}}{9}$
8324	Simplify	(1/2)÷(-( square root of 3)/2)	$\frac{1}{2} \div (- \frac{\sqrt{3}}{2})$
8325	Find the Asymptotes	f(x)=((x+3)^2)/((x+3)(x+4))	$f (x) = \frac{{(x + 3)}^{2}}{(x + 3) (x + 4)}$
8326	Solve for k	-2.38+3.9k=2.17+3.2k+2.45	$- 2.38 + 3.9 k = 2.17 + 3.2 k + 2.45$
8327	Solve for x	(1/8)^(3x^2-3x)=64^(9x-21)	${(\frac{1}{8})}^{3 x^{2} - 3 x} = 64^{9 x - 21}$
8328	Solve for x	(2 square root of x-5)/3-5=1	$\frac{2 \sqrt{x - 5}}{3} - 5 = 1$
8329	Write the Fraction in Simplest Form	(12q^3)/((3q^2)^5)	$\frac{12 q^{3}}{{(3 q^{2})}^{5}}$
8330	Graph	y=-5/2x-3 x-y=-4	$y = - \frac{5}{2} x - 3$ $x - y = - 4$
8331	Find the Derivative - d/dx	y = cube root of x^2(2x-x^2)	$y = \sqrt[3]{x^{2}} (2 x - x^{2})$
8332	Find All Complex Solutions	x^3+40=25	$x^{3} + 40 = 25$
8333	Find the Inflection Points	f(x)=-1/6x^6-2x^5	$f (x) = - \frac{1}{6} x^{6} - 2 x^{5}$
8334	Simplify	square root of 2x- square root of 8x^3+3 square root of 18x	$\sqrt{2 x} - \sqrt{8 x^{3}} + 3 \sqrt{18 x}$
8335	Simplify	1/4x+1+3/4x-2/3-1/2x	$\frac{1}{4} x + 1 + \frac{3}{4} x - \frac{2}{3} - \frac{1}{2} x$
8336	Solve for x	x+3 = square root of 16	$x + 3 = \sqrt{16}$
8337	Solve the Inequality for m	-4.5>m/6	$- 4.5 > \frac{m}{6}$
8338	Find the Domain	((25x^2-4)/(x^2-9))÷((5x-2)/(x+3))	$\frac{25 x^{2} - 4}{x^{2} - 9} \div \frac{5 x - 2}{x + 3}$
8339	Evaluate	((8-2)(3+2)-1)3	$((8 - 2) \cdot (3 + 2) - 1) \cdot 3$
8340	Solve for x	32(1/4)^(x/3)=2	$32 {(\frac{1}{4})}^{\frac{x}{3}} = 2$
8341	Simplify	x2/3*x7/3	$x \frac{2}{3} \cdot x \frac{7}{3}$
8342	Write in Exponential Form	cube root of 7^6	$\sqrt[3]{7^{6}}$
8343	Divide	(x^4-3x^3-7x-14)÷(x-4)	$(x^{4} - 3 x^{3} - 7 x - 14) \div (x - 4)$
8344	Evaluate	(x^-1y^-2)/(z^-3)	$\frac{x^{- 1} y^{- 2}}{z^{- 3}}$
8345	Solve for B	2pi=(2pi)/B	$2 π = \frac{2 π}{B}$
8346	Simplify	(5x^4y^2(2x^5y^6))/(20x^3y^5)	$\frac{5 x^{4} y^{2} (2 x^{5} y^{6})}{20 x^{3} y^{5}}$
8347	Graph	f(x)=1/2 square root of x-1-1	$f (x) = \frac{1}{2} \sqrt{x - 1} - 1$
8348	Find the Concavity	f(x)=2/15x^6-3x^4	$f (x) = \frac{2}{15} x^{6} - 3 x^{4}$
8349	Simplify the Radical Expression	square root of (162a)/(6a^3)	$\sqrt{\frac{162 a}{6 a^{3}}}$
8350	Graph	y>\|x-1\|-5 y<=-\|x+3\|+5	$y > \| x - 1 \| - 5$ $y \leq - \| x + 3 \| + 5$
8351	Simplify	(x^4-3x^3+5x-6)(x+2)^-1	$(x^{4} - 3 x^{3} + 5 x - 6) {(x + 2)}^{- 1}$
8352	Convert from Radians to Degrees	arccos(4.5/15)	$\arccos (\frac{4.5}{15})$
8353	Write in Slope-Intercept Form	x-1/2(y-6)=8	$x - \frac{1}{2} (y - 6) = 8$
8354	Solve for p	25^(7p-2)*625^(3-2p)=1	$25^{7 p - 2} \cdot 625^{3 - 2 p} = 1$
8355	Find the Degree, Leading Term, and Leading Coefficient	f(x)=10-x^4	$f (x) = 10 - x^{4}$
8356	Simplify	square root of 108yz+3 square root of 98yz+2 square root of 75yz	$\sqrt{108 y z} + 3 \sqrt{98 y z} + 2 \sqrt{75 y z}$
8357	Find the Antiderivative	(x^3)/( square root of 2-x^2)	$\frac{x^{3}}{\sqrt{2 - x^{2}}}$
8358	Evaluate	(2(fg^4))^4(fg)^6	${(2 f g^{4})}^{4} {(f g)}^{6}$
8359	Solve for x	x=24/(x-5)	$x = \frac{24}{x - 5}$
8360	Simplify	(1+a^3)÷(1+a)	$(1 + a^{3}) \div (1 + a)$
8361	Find the Holes in the Graph	(x^2-5x+6)/(x^2-4x+3)	$\frac{x^{2} - 5 x + 6}{x^{2} - 4 x + 3}$
8362	Simplify the Radical Expression	2ab^2 square root of (200a^2b^5c^11)/(c^11)	$2 a b^{2} \sqrt{\frac{200 a^{2} b^{5} c^{11}}{c^{11}}}$
8363	Simplify	(x^9y^6)^(-1/3)	${(x^{9} y^{6})}^{- \frac{1}{3}}$
8364	Simplify	cube root of 125x^8* fourth root of 16x	$\sqrt[3]{125 x^{8}} \cdot \sqrt[4]{16 x}$
8365	Divide	((y^2-49)/((y-7)^2))÷((5y+35)/(y^2-7y))	$\frac{y^{2} - 49}{{(y - 7)}^{2}} \div \frac{5 y + 35}{y^{2} - 7 y}$
8366	Write Using Positive Exponents	m^4*2m^-3	$m^{4} \cdot 2 m^{- 3}$
8367	Find the Exact Value	( log of 64)/( log of 8)	$\frac{\log (64)}{\log (8)}$
8368	Simplify the Radical Expression	(2- square root of 12)/( square root of 3)	$\frac{2 - \sqrt{12}}{\sqrt{3}}$
8369	Simplify	((x^4y^-2)/(x^-3y^5))^-1	${(\frac{x^{4} y^{- 2}}{x^{- 3} y^{5}})}^{- 1}$
8370	Simplify	-4^-2x^-1y^2z^3	$- 4^{- 2} x^{- 1} y^{2} z^{3}$
8371	Evaluate the Integral	integral from 0 to 1 of 1/((1+ square root of x)^4) with respect to x	$\int_{0}^{1} \frac{1}{{(1 + \sqrt{x})}^{4}} d x$
8372	Simplify	(3e^2-13e)/e+(9e^2+15e)/(3e)	$\frac{3 e^{2} - 13 e}{e} + \frac{9 e^{2} + 15 e}{3 e}$
8373	Simplify	(sec(z)^4-1)/(2+tan(z)^2)	$\frac{\sec^{4} (z) - 1}{2 + \tan^{2} (z)}$
8374	Plot	y>3x-5 y>-x+2	$y > 3 x - 5$ $y > - x + 2$
8375	Solve for x	square root of 8x+2 = square root of 10x+11	$\sqrt{8 x} + 2 = \sqrt{10 x + 11}$
8376	Simplify	2x^2(x+3)^2	$2 x^{2} {(x + 3)}^{2}$
8377	Solve the Inequality for x	2(x+3)<0	$2 (x + 3) < 0$
8378	Find the Derivative - d/dx	(x^3)/3- natural log of x	$\frac{x^{3}}{3} - \ln (x)$
8379	Simplify	7>x/4	$7 > \frac{x}{4}$
8380	Evaluate Using the Given Value	D=3ef^2 ; for e	$D = 3 e f^{2}$ ; for $e$
8381	Evaluate	(3x^-7)(5x^4)	$(3 x^{- 7}) (5 x^{4})$
8382	Solve the Inequality for x	y<2x+2	$y < 2 x + 2$
8383	Simplify	(csc(x)-1)/(sin(x)-1)	$\frac{\csc (x) - 1}{\sin (x) - 1}$
8384	Graph	F(x)=-5x^4	$F (x) = - 5 x^{4}$
8385	Find the Slope	Find the slope of the line passing through the points (2,5) and (8,-4)	Find the slope of the line passing through the points $(2, 5)$ and $(8, - 4)$
8386	Find the Asymptotes	g(x)=4csc(2x)	$g (x) = 4 \csc (2 x)$
8387	Find the Degree, Leading Term, and Leading Coefficient	-1/9+x^2	$- \frac{1}{9} + x^{2}$
8388	Find the Domain and Range	f(x)=-1/((x+3)^2)+2	$f (x) = - \frac{1}{{(x + 3)}^{2}} + 2$
8389	Solve for y	3(y-2)+2y=4y+14	$3 (y - 2) + 2 y = 4 y + 14$
8390	Find the Derivative of the Integral	integral from 0 to x^3 of f(t) with respect to t=x^4	$\int_{0}^{x^{3}} f (t) d t = x^{4}$
8391	Convert to Radical Form	(3x^2+3)^(-2/5)	${(3 x^{2} + 3)}^{- \frac{2}{5}}$
8392	Multiply	4 square root of 2x*5 square root of 6xy^2	$4 \sqrt{2 x} \cdot 5 \sqrt{6 x y^{2}}$
8393	Solve for x	4+(x-1)^(1/3)=2	$4 + {(x - 1)}^{\frac{1}{3}} = 2$
8394	Simplify	(-3x^4y)^2*(5x^2y^6)-(7x^5y^4)^2	${(- 3 x^{4} y)}^{2} \cdot (5 x^{2} y^{6}) - {(7 x^{5} y^{4})}^{2}$
8395	Factor	1+y^2-2y	$1 + y^{2} - 2 y$
8396	Solve for x	5(x-2)+2x=2(x+5)+x	$5 (x - 2) + 2 x = 2 (x + 5) + x$
8397	Simplify	cube root of 4x^2* cube root of 8x^3	$\sqrt[3]{4 x^{2}} \cdot \sqrt[3]{8 x^{3}}$
8398	Solve for x	(x+5)/(x-2)-5/(x+2)=28/(x^2-4)	$\frac{x + 5}{x - 2} - \frac{5}{x + 2} = \frac{28}{x^{2} - 4}$
8399	Add	2 square root of 3+ square root of 3	$2 \sqrt{3} + \sqrt{3}$
8400	Solve for y	-1/4x+8xy=16	$- \frac{1}{4} x + 8 x y = 16$