Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
33301	Multiply	3/23/23/2*3/2	$\frac{3}{2} \cdot \frac{3}{2} \cdot \frac{3}{2} \cdot \frac{3}{2}$
33302	Solve by Substitution	4x+y=26 y=9/2x-8	$4 x + y = 26$ $y = \frac{9}{2} x - 8$
33303	Write in Standard Form	y=(-3x^3)-3(3-x^3)	$y = (- 3 x^{3}) - 3 (3 - x^{3})$
33304	Simplify	-5w^2(8w^2x-11wx^2)+6x(9wx^4-4w-3x^2)	$- 5 w^{2} (8 w^{2} x - 11 w x^{2}) + 6 x (9 w x^{4} - 4 w - 3 x^{2})$
33305	Find Amplitude, Period, and Phase Shift	y=sin(1/6(x+pi/3))	$y = \sin (\frac{1}{6} (x + \frac{π}{3}))$
33306	Evaluate	square root of -36/(-1-3)	$\sqrt{\frac{- 36}{- 1 - 3}}$
33307	Solve for m	8-7/2m=-13	$8 - \frac{7}{2} m = - 13$
33308	Evaluate	(x^-5y^4y^7)/(x^-5)	$\frac{x^{- 5} y^{4} y^{7}}{x^{- 5}}$
33309	Find the Asymptotes	((2x+1)(x-2))/(x(2x+1))	$\frac{(2 x + 1) (x - 2)}{x (2 x + 1)}$
33310	Find the Product	3x*3x	$3 x \cdot 3 x$
33311	Divide	(5 square root of 3)÷( square root of 3)	$5 \sqrt{3} \div \sqrt{3}$
33312	Divide	(17/3679)	$(\frac{17}{3679})$
33313	Find the LCM	m^2+11m+10 and m^2+9m-10	$m^{2} + 11 m + 10$ and $m^{2} + 9 m - 10$
33314	Solve for a	(4x^3)^a=16x^6	${(4 x^{3})}^{a} = 16 x^{6}$
33315	Solve the Inequality for x	-(3x+1)-1/2x>-3/2x-4/5	$- (3 x + 1) - \frac{1}{2} x > - \frac{3}{2} x - \frac{4}{5}$
33316	Simplify the Radical Expression	fourth root of x^5y^9z^6	$\sqrt[4]{x^{5} y^{9} z^{6}}$
33317	Convert from Degrees to Radians	250deg	$250$ degrees
33318	Simplify	(b^4)/(b1/2)	$\frac{b^{4}}{b \frac{1}{2}}$
33319	Divide	(12x^4y^3z^2w)÷2xy^2	$12 x^{4} y^{3} z^{2} w \div 2 x y^{2}$
33320	Simplify	((2x^-3y^5)/(-3x^4y^-2))^-3	${(\frac{2 x^{- 3} y^{5}}{- 3 x^{4} y^{- 2}})}^{- 3}$
33321	Convert to Set Notation	-3(7n+3)<6n	$- 3 (7 n + 3) < 6 n$
33322	Simplify	(8^(3/4)+2^3)^(1/2)	${(8^{\frac{3}{4}} + 2^{3})}^{\frac{1}{2}}$
33323	Evaluate the Integral	integral from 0 to 1 of pi(1-x^2)^2 with respect to x	$\int_{0}^{1} π {(1 - x^{2})}^{2} d x$
33324	Find the Area Between the Curves	y=sec(x)^2 , y=8cos(x) , -pi/3<=x<=pi/3	$y = \sec^{2} (x)$ , $y = 8 \cos (x)$ , $- \frac{π}{3} \leq x \leq \frac{π}{3}$
33325	Graph	15c^(-)*8d^0	$15 c^{-} \cdot 8 d^{0}$
33326	Simplify	-x square root of 5y^4	$- x \sqrt{5 y^{4}}$
33327	Find dy/dx	5x+y-x^2=y^2	$5 x + y - x^{2} = y^{2}$
33328	Solve the Inequality for x	-5x+6<2(-3-x)	$- 5 x + 6 < 2 (- 3 - x)$
33329	Simplify	(5x)/4-1/(5x^3)	$\frac{5 x}{4} - \frac{1}{5 x^{3}}$
33330	Simplify the Radical Expression	( square root of 8)/( square root of 6)	$\frac{\sqrt{8}}{\sqrt{6}}$
33331	Solve the Inequality for x	10/(x+4)>3-x	$\frac{10}{x + 4} > 3 - x$
33332	Write the Fraction in Simplest Form	((5k^3b^2)^-2)/(5k^7)	$\frac{{(5 k^{3} b^{2})}^{- 2}}{5 k^{7}}$
33333	Find Where Increasing/Decreasing	f(x)=3 square root of x+1	$f (x) = 3 \sqrt{x + 1}$
33334	Find dy/dx	y = square root of square root of 3x+8	$y = \sqrt{\sqrt{3 x} + 8}$
33335	Solve the System of Equations	What is the solution to the system of equations y=x^2-2 and y=-2 ?	What is the solution to the system of equations $y = x^{2} - 2$ and $y = - 2$ ?
33336	Divide Using Long Polynomial Division	Use the long division method to find the result when 6x^3+11x^2+21x+6 is divided by 3x+1	Use the long division method to find the result when $6 x^{3} + 11 x^{2} + 21 x + 6$ is divided by $3 x + 1$
33337	Simplify	(3- square root of 2)/(3+ square root of 2)	$\frac{3 - \sqrt{2}}{3 + \sqrt{2}}$
33338	Simplify	-4+7*4^2	$- 4 + 7 \cdot 4^{2}$
33339	Solve for t	tan(t)=1	$\tan (t) = 1$
33340	Write the Fraction in Simplest Form	(12q^-6)/(4(q)^2)	$\frac{12 q^{- 6}}{4 {(q)}^{2}}$
33341	Find the Integral	cos(ecx)	$\cos (e c x)$
33342	Simplify	2* log of 3	$2 \cdot \log (3)$
33343	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (7,2) and has a slope of 1 ?	What is the equation of the line that passes through the point $(7, 2)$ and has a slope of $1$ ?
33344	Find the Domain	( square root of x+1-1)/x	$\frac{\sqrt{x + 1} - 1}{x}$
33345	Rationalize the Denominator	cube root of 2/4	$\sqrt[3]{\frac{2}{4}}$
33346	Factor	x^2*10x+24	$x^{2} \cdot 10 x + 24$
33347	Solve the Inequality for x	cos(x)<0	$\cos (x) < 0$
33348	Simplify	(m3/5)/(m2/5)	$\frac{m \frac{3}{5}}{m \frac{2}{5}}$
33349	Solve the Inequality for x	x^2-6x<-9	$x^{2} - 6 x < - 9$
33350	Solve the System of Equations	x+2y=-2 y=-1/3x	$x + 2 y = - 2$ $y = - \frac{1}{3} x$
33351	Solve the Function Operation	What number a is 0.4% of 40 ?	What number a is $0.4 %$ of $40$ ?
33352	Simplify	(-2a^3b)^2*8ab^9	${(- 2 a^{3} b)}^{2} \cdot 8 a b^{9}$
33353	Solve the Rational Equation for x	square root of 1-5x=1+ square root of 6-x	$\sqrt{1 - 5 x} = 1 + \sqrt{6 - x}$
33354	Simplify	Simplify square root of 32	Simplify $\sqrt{32}$
33355	Simplify	(650mg)/(325mg)*2ml	$\frac{650 mg}{325 mg} \cdot 2 ml$
33356	Solve for x	square root of x=1/3	$\sqrt{x} = \frac{1}{3}$
33357	Solve for b	square root of 63-7b-b=-9	$\sqrt{63 - 7 b - b} = - 9$
33358	Simplify the Radical Expression	8/( cube root of 3x^2)	$\frac{8}{\sqrt[3]{3 x^{2}}}$
33359	Graph	\|x-9\|=x^2+3	$\| x - 9 \| = x^{2} + 3$
33360	Evaluate	8-5y+2x-3+4y+2+4x-2	$8 - 5 y + 2 x - 3 + 4 y + 2 + 4 x - 2$
33361	Multiply	(3x^2+x-14)/(2x^2-11x+5)*(2x-1)/(3x-6)	$\frac{3 x^{2} + x - 14}{2 x^{2} - 11 x + 5} \cdot \frac{2 x - 1}{3 x - 6}$
33362	Find the Degree, Leading Term, and Leading Coefficient	f(x)=(x+4)^2(x+2)(x-2)^2	$f (x) = {(x + 4)}^{2} (x + 2) {(x - 2)}^{2}$
33363	Find the Product	(4x^2y+3xy-x^2)(-x^3y^2)	$(4 x^{2} y + 3 x y - x^{2}) (- x^{3} y^{2})$
33364	Evaluate	square root of 25+10 square root of 5+5	$\sqrt{25 + 10 \sqrt{5} + 5}$
33365	Graph	y=1/4cot(x+pi)	$y = \frac{1}{4} \cot (x + π)$
33366	Factor	(2x+4y)^3	${(2 x + 4 y)}^{3}$
33367	Solve for x	\|2x-5\|+\|5-2x\|<14	$\| 2 x - 5 \| + \| 5 - 2 x \| < 14$
33368	Solve the Absolute Value Inequality for x	\|x/2-4\|=2	$\| \frac{x}{2} - 4 \| = 2$
33369	Simplify	(x^3y^-5)(2x^-4y^2)(4xy^5)	$(x^{3} y^{- 5}) (2 x^{- 4} y^{2}) (4 x y^{5})$
33370	Factor by Grouping	24x^3y^2+16x^2y+12xy^4	$24 x^{3} y^{2} + 16 x^{2} y + 12 x y^{4}$
33371	Find Amplitude, Period, and Phase Shift	y=5sec(4x)+10	$y = 5 \sec (4 x) + 10$
33372	Convert to a Decimal	60% as a decimal	$60 %$ as a decimal
33373	Divide Using Synthetic Division	Use synthetic division to find the result when 3x^4+14x^3+6x^2-9x-4 is divided by x+4	Use synthetic division to find the result when $3 x^{4} + 14 x^{3} + 6 x^{2} - 9 x - 4$ is divided by $x + 4$
33374	Simplify	square root of 32* square root of 2	$\sqrt{32 \cdot \sqrt{2}}$
33375	Simplify	(a+2b-10)^2	${(a + 2 b - 10)}^{2}$
33376	Solve the Inequality for x	-x^2+2x<=0	$- x^{2} + 2 x \leq 0$
33377	Solve the Function Operation	f(x)=6x^5-1 ; find f^-1(x)	$f (x) = 6 x^{5} - 1$ ; find $f^{- 1} (x)$
33378	Solve the Inequality for v	4v<=-20	$4 v \leq - 20$
33379	Find the End Behavior	f(x)=(x+4)^2(x+2)(x-2)^2	$f (x) = {(x + 4)}^{2} (x + 2) {(x - 2)}^{2}$
33380	Find Amplitude, Period, and Phase Shift	y=1/2cos((6x)/5-1)	$y = \frac{1}{2} \cos (\frac{6 x}{5} - 1)$
33381	Graph	x^3+x+1	$x^{3} + x + 1$
33382	Solve the Function Operation	7.37910^-4 m^3((100(cm))/(1(m)))^3*(19.3(g))/(cm^3)	$7.379 \times 10^{- 4}$ $m^{3} \times {(\frac{100 (cm)}{1 (m)})}^{3} \times \frac{19.3 (g)}{{cm}^{3}}$
33383	Find the Roots (Zeros)	(x^2-1)(9x^2+16x+21)	$(x^{2} - 1) (9 x^{2} + 16 x + 21)$
33384	Find the x and y Intercepts	y=(3x)/(x-3)*(x-4)/(x+1)	$y = \frac{3 x}{(x - 3)} \cdot \frac{(x - 4)}{(x + 1)}$
33385	Evaluate	((10^15)/(10^5))^3	${(\frac{10^{15}}{10^{5}})}^{3}$
33386	Solve for x	log base 32 of x>1/5	$\log_{32} (x) > \frac{1}{5}$
33387	Identify the Sequence	5 , 4 , 16/5	$5$ , $4$ , $\frac{16}{5}$
33388	Find the Antiderivative	x square root of 1-x	$x \sqrt{1 - x}$
33389	Solve the Inequality for x	40>=8(12+x)	$40 \geq 8 (12 + x)$
33390	Solve Using the Quadratic Formula	x^3-6x+1=0	$x^{3} - 6 x + 1 = 0$
33391	Find the Excluded Values	(3x)/(x(2x-3))	$\frac{3 x}{x (2 x - 3)}$
33392	Solve for x	sin(x^3-x)=0	$\sin (x^{3} - x) = 0$
33393	Solve the System of Equations	3x+2y=6 y=-5/2x+1	$3 x + 2 y = 6$ $y = - \frac{5}{2} x + 1$
33394	Solve for a	9a+3b=30 8a+4b=28	$9 a + 3 b = 30$ $8 a + 4 b = 28$
33395	Solve for x	square root of x+9=1+ square root of x	$\sqrt{x + 9} = 1 + \sqrt{x}$
33396	Solve for T	T=gr+gvt	$T = g r + g v t$
33397	Find dy/dx	0=-2y^2+x^3-5y^3	$0 = - 2 y^{2} + x^{3} - 5 y^{3}$
33398	Find the Asymptotes	y=(3x)/(x-3)*(x-4)/(x+1)	$y = \frac{3 x}{(x - 3)} \cdot \frac{(x - 4)}{(x + 1)}$
33399	Divide Using Long Polynomial Division	(x^2-2x-37)÷(x^2-3x-40)	$(x^{2} - 2 x - 37) \div (x^{2} - 3 x - 40)$
33400	Multiply	10y^4(-9x^2)	$10 y^{4} (- 9 x^{2})$