Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
10301	Solve for x	Solve 3^(x-5)=9	Solve $3^{x - 5} = 9$
10302	Write in Standard Form	w^3(3w^2+2w)+5w^4	$w^{3} (3 w^{2} + 2 w) + 5 w^{4}$
10303	Solve the System of Equations	y=2 2x+y=8	$y = 2$ $2 x + y = 8$
10304	Combine Like Terms	2(x/2-5)-3/2(x+7/4)	$2 (\frac{x}{2} - 5) - \frac{3}{2} (x + \frac{7}{4})$
10305	Integrate By Parts	integral of e^(8theta)sin(9theta) with respect to theta	$\int e^{8 θ} \sin (9 θ) d θ$
10306	Simplify	(6x)/(x^2-8x)+4/(2x-16)	$\frac{6 x}{x^{2} - 8 x} + \frac{4}{2 x - 16}$
10307	Graph	2x+4y<=12 3x-y<2	$2 x + 4 y \leq 12$ $3 x - y < 2$
10308	Evaluate	(x-4)^2+4=49	${(x - 4)}^{2} + 4 = 49$
10309	Convert to a Decimal	144deg	$144$ degrees
10310	Solve the Inequality for m	-7/8>=m-13/8	$- \frac{7}{8} \geq m - \frac{13}{8}$
10311	Solve for x	2x square root of 7=6 square root of 63	$2 x \sqrt{7} = 6 \sqrt{63}$
10312	Simplify	(3^-2x^-3y^4)/(6^-2x^-2y^-2)	$\frac{3^{- 2} x^{- 3} y^{4}}{6^{- 2} x^{- 2} y^{- 2}}$
10313	Simplify	(-( square root of 3)/2)÷(-1/2)	$- \frac{\sqrt{3}}{2} \div (- \frac{1}{2})$
10314	Solve for b	\|b-7\|<6	$\| b - 7 \| < 6$
10315	Solve the Inequality for n	-3(2n-11)>n+26	$- 3 (2 n - 11) > n + 26$
10316	Solve for t	y=350(1+0.75)^t	$y = 350 {(1 + 0.75)}^{t}$
10317	Simplify	(x^3-3x^2)/(4x^2-5x)	$\frac{x^{3} - 3 x^{2}}{4 x^{2} - 5 x}$
10318	Simplify	x/(x-2)-3/(x+2)+(x+3)/(x^2-4)	$\frac{x}{x - 2} - \frac{3}{x + 2} + \frac{x + 3}{x^{2} - 4}$
10319	Find the Domain and Range	f(x)=(2x)/(3/4x+1/3)	$f (x) = \frac{2 x}{\frac{3}{4} x + \frac{1}{3}}$
10320	Simplify	(5^(1/3)*7^(1/4))^3	${(5^{\frac{1}{3}} \cdot 7^{\frac{1}{4}})}^{3}$
10321	Solve for x	6e^(6x)-17e^(3x)+7=0	$6 e^{6 x} - 17 e^{3 x} + 7 = 0$
10322	Find the Secant of the Angle	(4pi)/3	$\frac{4 π}{3}$
10323	Solve Using a Matrix with Cramer's Rule	2x-3y+z=4 y-2z+x-5=0 3-2x=4y-z	$2 x - 3 y + z = 4$ $y - 2 z + x - 5 = 0$ $3 - 2 x = 4 y - z$
10324	Simplify the Radical Expression	cube root of (x^5)/(x^2)	$\sqrt[3]{\frac{x^{5}}{x^{2}}}$
10325	Find the End Behavior	f(x)=-216x^4+8x^6+216x^2+9720-7776x+1152x^3-32x^5	$f (x) = - 216 x^{4} + 8 x^{6} + 216 x^{2} + 9720 - 7776 x + 1152 x^{3} - 32 x^{5}$
10326	Solve for m	m^2=5m	$m^{2} = 5 m$
10327	Simplify	cube root of a/(b^2)	$\sqrt[3]{\frac{a}{b^{2}}}$
10328	Evaluate the Integral	integral of 3/(x^3)+5 square root of x with respect to x	$\int \frac{3}{x^{3}} + 5 \sqrt{x} d x$
10329	Find the Roots (Zeros)	g(t)=2tan(4pit)	$g (t) = 2 \tan (4 π t)$
10330	Find the Degree, Leading Term, and Leading Coefficient	g(x)=x^4-1/3x^2+10-4x^3+2x	$g (x) = x^{4} - \frac{1}{3} x^{2} + 10 - 4 x^{3} + 2 x$
10331	Simplify	(y^3-4y)/(16y^2)*(-8y)/(3y^3-12y)	$\frac{y^{3} - 4 y}{16 y^{2}} \cdot \frac{- 8 y}{3 y^{3} - 12 y}$
10332	Simplify	square root of (3x^2)/(7x^3)	$\sqrt{\frac{3 x^{2}}{7 x^{3}}}$
10333	Factor	-4x(x+3)+3x^2(x+3)	$- 4 x (x + 3) + 3 x^{2} (x + 3)$
10334	Graph	F(x)=x^3+x+3	$F (x) = x^{3} + x + 3$
10335	Simplify	fourth root of 16x^6* square root of 49x^3	$\sqrt[4]{16 x^{6}} \cdot \sqrt{49 x^{3}}$
10336	Simplify	(c/(c^2))^4*(-3c)^4	${(\frac{c}{c^{2}})}^{4} \cdot {(- 3 c)}^{4}$
10337	Simplify	(27y)/(y^2-1)*(y^2+y)/(36y^2)	$\frac{27 y}{y^{2} - 1} \cdot \frac{y^{2} + y}{36 y^{2}}$
10338	Simplify	(4x^-2)/(y^-8)	$\frac{4 x^{- 2}}{y^{- 8}}$
10339	Find the Difference Quotient	1/(x^2)	$\frac{1}{x^{2}}$
10340	Find the Integral	( square root of x)/x	$\frac{\sqrt{x}}{x}$
10341	Simplify	((3^-6)/(3^0))^-3	${(\frac{3^{- 6}}{3^{0}})}^{- 3}$
10342	Graph	P(x)=x^3+2x^2-5x-6	$P (x) = x^{3} + 2 x^{2} - 5 x - 6$
10343	Simplify	fifth root of 5^3* fifth root of 5	$\sqrt[5]{5^{3}} \cdot \sqrt[5]{5}$
10344	Evaluate the Limit	limit as x approaches 0 of (x+cos(-7x)-1)/(-2x)	$lim_{x \to 0} \frac{x + \cos (- 7 x) - 1}{- 2 x}$
10345	Solve for x	( square root of 2x)/4+3=5	$\frac{\sqrt{2 x}}{4} + 3 = 5$
10346	Find the Exact Value	sec(0 degrees )+tan(45 degrees )	$\sec (0 °) + \tan (45 °)$
10347	Simplify	(-9x-4/5)+(2x+2/3)	$(- 9 x - \frac{4}{5}) + (2 x + \frac{2}{3})$
10348	Simplify	3 square root of 5y* square root of 6y* square root of 12y	$3 \sqrt{5 y} \cdot \sqrt{6 y} \cdot \sqrt{12 y}$
10349	Simplify	5/( square root of 8- square root of 3)	$\frac{5}{\sqrt{8} - \sqrt{3}}$
10350	Expand the Logarithmic Expression	natural log of square root of (4x)/(x-4)	$\ln (\sqrt{\frac{4 x}{x - 4}})$
10351	Subtract	(4x^2+7x^3y^2)-(-6x^2-7x^3y^2-4x)-(10x+9x^2)	$(4 x^{2} + 7 x^{3} y^{2}) - (- 6 x^{2} - 7 x^{3} y^{2} - 4 x) - (10 x + 9 x^{2})$
10352	Evaluate	(x^9yz^4)^5	${(x^{9} y z^{4})}^{5}$
10353	Evaluate the Function	g(3y)=x^3	$g (3 y) = x^{3}$
10354	Rationalize the Denominator	3/( square root of 7-2)	$\frac{3}{\sqrt{7 - 2}}$
10355	Solve for m	m+1/4<-1 2/5	$m + \frac{1}{4} < - 1 \frac{2}{5}$
10356	Simplify	(1/y+2/(x-y))*(x-(x^2+y^2)/(x+y))	$(\frac{1}{y} + \frac{2}{x - y}) \cdot (x - \frac{x^{2} + y^{2}}{x + y})$
10357	Divide Using Long Polynomial Division	(x^3+x^2-2x+14)/(x+3)	$\frac{x^{3} + x^{2} - 2 x + 14}{x + 3}$
10358	Solve for s	3\|s\|=18	$3 \| s \| = 18$
10359	Determine if True	tan(x)^2sin(x)^2=tan(x)^2-sin(x)^2	$\tan^{2} (x) \sin^{2} (x) = \tan^{2} (x) - \sin^{2} (x)$
10360	Solve for x	6=36^x	$6 = 36^{x}$
10361	Divide	Divide x^2-x-6 by x-3	Divide $x^{2} - x - 6$ by $x - 3$
10362	Simplify	(5x^3)/6*1/(4x^3)	$\frac{5 x^{3}}{6} \cdot \frac{1}{4 x^{3}}$
10363	Solve for x	square root of 4x+1 = square root of 5x+4	$\sqrt{4 x} + 1 = \sqrt{5 x + 4}$
10364	Factor	3/4(24x+28)-(4x-1)	$\frac{3}{4} (24 x + 28) - (4 x - 1)$
10365	Write the Fraction in Simplest Form	(3(y^-4)^4)/(12y^-6)	$\frac{3 {(y^{- 4})}^{4}}{12 y^{- 6}}$
10366	Simplify	1/7y^5+2y+3/7y^5+2y	$\frac{1}{7} y^{5} + 2 y + \frac{3}{7} y^{5} + 2 y$
10367	Find the Quadratic Equation Given the Roots	4 , - square root of 5	$4$ , $- \sqrt{5}$
10368	Find the Derivative - d/dx	x^3-2x^2-6x+pi	$x^{3} - 2 x^{2} - 6 x + π$
10369	Simplify	square root of 64x^9* fourth root of 256x^10	$\sqrt{64 x^{9}} \cdot \sqrt[4]{256 x^{10}}$
10370	Solve for x	3^2=3^x	$3^{2} = 3^{x}$
10371	Solve the System of Equations	y = square root of x-5 y=-x+1	$y = \sqrt{x} - 5$ $y = - x + 1$
10372	Find the Maximum/Minimum Value	f(x)=(x^2)/((x-1)^2)	$f (x) = \frac{x^{2}}{{(x - 1)}^{2}}$
10373	Find the Roots (Zeros)	(x-2)(x-3)^2=0	$(x - 2) {(x - 3)}^{2} = 0$
10374	Find f(g(x))	f(x)=-3x g(x)=-x+8	$f (x) = - 3 x$ $g (x) = - x + 8$
10375	Find the Domain and Range	y=arctan(3x)	$y = \arctan (3 x)$
10376	Multiply	13i*(1-5i)	$13 i \cdot (1 - 5 i)$
10377	Evaluate	(a^(6n))/(a^(3n))	$\frac{a^{6 n}}{a^{3 n}}$
10378	Graph	F(x)=1/3\|x\|+1	$F (x) = \frac{1}{3} \| x \| + 1$
10379	Evaluate	square root of 54/6+2/3	$\sqrt{\frac{54}{6}} + \frac{2}{3}$
10380	Expand the Logarithmic Expression	log of (z^4)/( cube root of y^4x^3)	$\log (\frac{z^{4}}{\sqrt[3]{y^{4} x^{3}}})$
10381	Graph	y+1/4x=1	$y + \frac{1}{4} x = 1$
10382	Simplify	1/((-2z)^-2)	$\frac{1}{{(- 2 z)}^{- 2}}$
10383	Solve for x	square root of 2x = square root of x+5	$\sqrt{2 x} = \sqrt{x + 5}$
10384	Simplify	(((12m^6n^4)/(mn))((m^2n)/(18m^5n^2)))^2	${((\frac{12 m^{6} n^{4}}{m n}) (\frac{m^{2} n}{18 m^{5} n^{2}}))}^{2}$
10385	Find the Degree, Leading Term, and Leading Coefficient	f(x)=x^4-7x^2-9x-6	$f (x) = x^{4} - 7 x^{2} - 9 x - 6$
10386	Graph	y<3x-4 y>=-1/2x+3	$y < 3 x - 4$ $y \geq - \frac{1}{2} x + 3$
10387	Write the Fraction in Simplest Form	(20x^-3c)/((4x^4)^-5)	$\frac{20 x^{- 3} c}{{(4 x^{4})}^{- 5}}$
10388	Solve for t	3(8+t)=25.50	$3 (8 + t) = 25.5$
10389	Simplify	2a^2bc(4c^0)^3	$2 a^{2} b c {(4 c^{0})}^{3}$
10390	Find the Derivative - d/dx	(dy)/(dx)=(y^2)/(x^2)	$\frac{d y}{d x} = \frac{y^{2}}{x^{2}}$
10391	Solve for x	(sin(x)-1)(sin(x)-5)=0 ?	$(\sin (x) - 1) (\sin (x) - 5) = 0$ ?
10392	Solve the System of Equations	x-6y-z=6 x+2y+z=2 -10x+2y-z=4	$x - 6 y - z = 6$ $x + 2 y + z = 2$ $- 10 x + 2 y - z = 4$
10393	Graph	P(x)=x(2x+5)(x+1)	$P (x) = x (2 x + 5) (x + 1)$
10394	Evaluate	(12x^6y^-4z^2)/(3x^2y^-6z^3)	$\frac{12 x^{6} y^{- 4} z^{2}}{3 x^{2} y^{- 6} z^{3}}$
10395	Subtract	1 1/3-2/3	$1 \frac{1}{3} - \frac{2}{3}$
10396	Solve for y	square root of y^2-20y+100=y-10	$\sqrt{y^{2} - 20 y + 100} = y - 10$
10397	Determine if a Polynomial	-6q^2-10p^3q	$- 6 q^{2} - 10 p^{3} q$
10398	Simplify the Radical Expression	square root of cube root of 81	$\sqrt{\sqrt[3]{81}}$
10399	Convert to a Decimal	115deg	$115$ degrees
10400	Describe the Transformation	-f(2(x-2))+1	$- f (2 (x - 2)) + 1$