Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
43301	Solve the Function Operation	f(x)=x^3-3x g(x)=-4x+1 Find f(x)*g(x)	$f (x) = x^{3} - 3 x$ $g (x) = - 4 x + 1$ Find $f (x) \cdot g (x)$
43302	Solve for M	M=(((x+y)^2-(x-y)^2)/(xy))^(1/2)	$M = {(\frac{{(x + y)}^{2} - {(x - y)}^{2}}{x y})}^{\frac{1}{2}}$
43303	Find the Exact Value	(2(3+5)+6)4	$(2 \times (3 + 5) + 6) \times 4$
43304	Graph	y=3x-2 y-2=x	$y = 3 x - 2$ $y - 2 = x$
43305	Solve the System of Inequalities	y>-3 y>=5x	$y > - 3$ $y \geq 5 x$
43306	Solve for x	2 square root of x=3	$2 \sqrt{x} = 3$
43307	Solve for x	(x-10)/(x^2+8x+12)=3/(x+2)+4/(x+6)	$\frac{x - 10}{x^{2} + 8 x + 12} = \frac{3}{x + 2} + \frac{4}{x + 6}$
43308	Graph	y>x^2+3x-4 y<-x^2-x+2	$y > x^{2} + 3 x - 4$ $y < - x^{2} - x + 2$
43309	Solve the Rational Equation for x	square root of 2x=4	$\sqrt{2 x} = 4$
43310	Simplify	(x^-2)/( square root of x^-2)	$\frac{x^{- 2}}{\sqrt{x^{- 2}}}$
43311	Simplify	((a-b)/(7a+7b))÷((a^2-b^2)/(a^2+4a+4))	$\frac{a - b}{7 a + 7 b} \div \frac{a^{2} - b^{2}}{a^{2} + 4 a + 4}$
43312	Find the Determinant	A=[[1,2,-2],[2,1,-4],[3,0,-6]]	$A = [\begin{array}{c} 1 & 2 & - 2 \\ 2 & 1 & - 4 \\ 3 & 0 & - 6 \end{array}]$
43313	Find the Inverse	y=(2-x)/3	$y = \frac{2 - x}{3}$
43314	Find the Antiderivative	1/x+1	$\frac{1}{x} + 1$
43315	Divide	(x^3+1)÷(x^2-x+1)	$(x^{3} + 1) \div (x^{2} - x + 1)$
43316	Simplify the Radical Expression	( square root of w^11)/( cube root of w^8)	$\frac{\sqrt{w^{11}}}{\sqrt[3]{w^{8}}}$
43317	Solve for x	2/((4x-3)^(1/2))=1	$\frac{2}{{(4 x - 3)}^{\frac{1}{2}}} = 1$
43318	Find the Antiderivative	x*e^(3x)	$x \cdot e^{3 x}$
43319	Solve for x	log base 2 of 4^(3x-1)=25^( log base 5 of 2)	$\log_{2} (4^{3 x - 1}) = 25^{\log_{5} (2)}$
43320	Simplify	fourth root of (243x^3)/(3x^7)	$\sqrt[4]{\frac{243 x^{3}}{3 x^{7}}}$
43321	Graph	y=0 , 5x+1	$y = 0$ , $5 x + 1$
43322	Simplify	-(7/8)	$- (\frac{7}{8})$
43323	Simplify	-2^2+2^0+2^-1	$- 2^{2} + 2^{0} + 2^{- 1}$
43324	Evaluate	f(4x)=x/(x^2+1)	$f (4 x) = \frac{x}{x^{2} + 1}$
43325	Simplify	(x^10)^(1/2)*x^-11	${(x^{10})}^{\frac{1}{2}} \cdot x^{- 11}$
43326	Find Where Increasing/Decreasing	f(x)=x square root of 4-x	$f (x) = x \sqrt{4 - x}$
43327	Simplify	-x^5+6x^4+2x^5-6x^3+x^0-1	$- x^{5} + 6 x^{4} + 2 x^{5} - 6 x^{3} + x^{0} - 1$
43328	Simplify	(5x-20)/(4x^2-25)*(2x-5)/(5x+3)	$\frac{5 x - 20}{4 x^{2} - 25} \cdot \frac{2 x - 5}{5 x + 3}$
43329	Simplify	Simplify square root of -25	Simplify $\sqrt{- 25}$
43330	Simplify	Simplify ( sixth root of 64)/( cube root of 4)	Simplify $\frac{\sqrt[6]{64}}{\sqrt[3]{4}}$
43331	Find the Slope	(-9,6) and (-3,2)	$(- 9, 6)$ and $(- 3, 2)$
43332	Solve for v	216=v^3	$216 = v^{3}$
43333	Rationalize the Denominator	( square root of 8- square root of 3)/( square root of 2+ square root of 12)	$\frac{\sqrt{8} - \sqrt{3}}{\sqrt{2} + \sqrt{12}}$
43334	Solve for g	4g-5-g=13	$4 g - 5 - g = 13$
43335	Simplify	4i+(8-3i)-(12+ square root of -25)	$4 i + (8 - 3 i) - (12 + \sqrt{- 25})$
43336	Find the Antiderivative	(x+3)e^(-2x)	$(x + 3) e^{- 2 x}$
43337	Multiply	(x+3)/(x-1)*(x^2-2x+1)/(x^2+5x+6)	$\frac{x + 3}{x - 1} \cdot \frac{x^{2} - 2 x + 1}{x^{2} + 5 x + 6}$
43338	Evaluate	(2x^-4)/(3x^-2)	$\frac{2 x^{- 4}}{3 x^{- 2}}$
43339	Find All Complex Solutions	1-2/(x-4)=-16/(x^2-16)	$1 - \frac{2}{x - 4} = - \frac{16}{x^{2} - 16}$
43340	Convert from Radians to Degrees	5*180/pi	$5 \cdot \frac{180}{π}$
43341	Simplify	1/2 square root of 18	$\frac{1}{2} \sqrt{18}$
43342	Find the Derivative - d/dx	sin(x^3-x)	$\sin (x^{3} - x)$
43343	Factor	54i^6-16	$54 i^{6} - 16$
43344	Solve the Inequality for k	-1/3(k+3)<=6	$- \frac{1}{3} (k + 3) \leq 6$
43345	Find the Roots (Zeros)	(x+1)x	$(x + 1) x$
43346	Find the Antiderivative	1/(cos(x)^2)-1/(sin(x)^2)	$\frac{1}{\cos^{2} (x)} - \frac{1}{\sin^{2} (x)}$
43347	Find the Roots (Zeros)	-x^4+x^3+2x^2	$- x^{4} + x^{3} + 2 x^{2}$
43348	Evaluate the Integral	integral from 0 to 1 of 1/(x^2+x+1) with respect to x	$\int_{0}^{1} \frac{1}{x^{2} + x + 1} d x$
43349	Evaluate	fifth root of 3^3* fifth root of 3^4	$\sqrt[5]{3^{3}} \cdot \sqrt[5]{3^{4}}$
43350	Solve for x	x-42+1/4x+21+2x-59=180	$x - 42 + \frac{1}{4} x + 21 + 2 x - 59 = 180$
43351	Simplify	(5+5x^3+2x^2)-(8x^3-6-4x^2)	$(5 + 5 x^{3} + 2 x^{2}) - (8 x^{3} - 6 - 4 x^{2})$
43352	Evaluate	2cos(30 degrees )	$2 \cos (30 °)$
43353	Add	(7x)/(x+1)+7/(x^2-1)	$\frac{7 x}{x + 1} + \frac{7}{x^{2} - 1}$
43354	Evaluate	-x<-29	$- x < - 29$
43355	Find dy/dx	y = square root of 5x^2+3x	$y = \sqrt{5 x^{2} + 3 x}$
43356	Write in Standard Form	10+(x^2)/6	$10 + \frac{x^{2}}{6}$
43357	Evaluate the Limit	limit as x approaches infinity of 2/(x^2)	$lim_{x \to \infty} \frac{2}{x^{2}}$
43358	Simplify	square root of square root of 16x^4y^4	$\sqrt{\sqrt{16 x^{4} y^{4}}}$
43359	Find the Equation Given the Roots	-4/3 , -2i	$- \frac{4}{3}$ , $- 2 i$
43360	Evaluate	(11/12+11/20)*15/8	$(\frac{11}{12} + \frac{11}{20}) \cdot \frac{15}{8}$
43361	Simplify	7x^2y^2+12xy^2-3x^2y+11-12xy^2+20x^2y+11xy-5	$7 x^{2} y^{2} + 12 x y^{2} - 3 x^{2} y + 11 - 12 x y^{2} + 20 x^{2} y + 11 x y - 5$
43362	Convert to Polar	3y-y^2=x^2	$3 y - y^{2} = x^{2}$
43363	Find the Antiderivative	f(x)=-1/(x^2)+x	$f (x) = - \frac{1}{x^{2}} + x$
43364	Find the Geometric Mean	5 and 8	$5$ and $8$
43365	Divide Using Long Polynomial Division	(x^4+x^3-3x^2-10x+2)/(x^2+3x+3)	$\frac{x^{4} + x^{3} - 3 x^{2} - 10 x + 2}{x^{2} + 3 x + 3}$
43366	Solve for θ in Radians	sin(2theta)+cos(theta)=0	$\sin (2 θ) + \cos (θ) = 0$
43367	Find the Antiderivative	(cos(x))/(1+sin(x))	$\frac{\cos (x)}{1 + \sin (x)}$
43368	Simplify	-18 square root of 5/6	$- 18 \sqrt{\frac{5}{6}}$
43369	Simplify the Radical Expression	(5^4*b^-10)^-6	${(5^{4} \cdot b^{- 10})}^{- 6}$
43370	Find the Quotient	x^5-32 is divided by x-2	$x^{5} - 32$ is divided by $x - 2$
43371	Simplify	(-8(2x+5))/(-4(5+2x))	$\frac{- 8 (2 x + 5)}{- 4 (5 + 2 x)}$
43372	Solve for x	10/3=4/x+2	$\frac{10}{3} = \frac{4}{x} + 2$
43373	Find the Holes in the Graph	f(x)=(3x^2+2x-8)/(4-x^2)	$f (x) = \frac{3 x^{2} + 2 x - 8}{4 - x^{2}}$
43374	Solve for x	2/(3x-4)=1/4	$\frac{2}{3 x - 4} = \frac{1}{4}$
43375	Evaluate Using L'Hospital's Rule	limit as x approaches 2 of ( square root of 2+x-2)/(x-2)	$lim_{x \to 2} \frac{\sqrt{2 + x} - 2}{x - 2}$
43376	Solve for t	(t+2)^2=7	${(t + 2)}^{2} = 7$
43377	Simplify	((6x^4)/(5y))^-2	${(\frac{6 x^{4}}{5 y})}^{- 2}$
43378	Solve for B	9^2+B^2=13^2	$9^{2} + B^{2} = 13^{2}$
43379	Solve for q	1/2(q+1)=4/3-q	$\frac{1}{2} (q + 1) = \frac{4}{3} - q$
43380	Solve for a	1/4a^2-1/9b^2=0	$\frac{1}{4} a^{2} - \frac{1}{9} b^{2} = 0$
43381	Simplify	1/x-y	$\frac{1}{x} - y$
43382	Describe the Transformation	y=1/2(x+4)^2-8	$y = \frac{1}{2} {(x + 4)}^{2} - 8$
43383	Solve the System of Equations	x+y=12 y=x-4	$x + y = 12$ $y = x - 4$
43384	Evaluate	(21^635^380^3)/(15^414^930^2)	$\frac{21^{6} \cdot 35^{3} \cdot 80^{3}}{15^{4} \cdot 14^{9} \cdot 30^{2}}$
43385	Solve for A	R=(2AS)/(L-2S)	$R = \frac{2 A S}{L - 2 S}$
43386	Graph	g(x+3)=(x+3)^2-3	$g (x + 3) = {(x + 3)}^{2} - 3$
43387	Find the Inverse	f(x) = cube root of 1-x^3	$f (x) = \sqrt[3]{1 - x^{3}}$
43388	Find the Antiderivative	f(x)=1/(x^-3)+5xy- square root of x	$f (x) = \frac{1}{x^{- 3}} + 5 x y - \sqrt{x}$
43389	Solve for x	5^((x+1)(x-2))=625	$5^{(x + 1) (x - 2)} = 625$
43390	Add	2 square root of 27+3 square root of 16	$2 \sqrt{27} + 3 \sqrt{16}$
43391	Simplify	-(x^2)/(x^2)	$- \frac{x^{2}}{x^{2}}$
43392	Evaluate	(x^5*x^-3)/(x^-5)	$\frac{x^{5} \cdot x^{- 3}}{x^{- 5}}$
43393	Evaluate the Integral	integral of 9(sin(2x))/(sin(x)) with respect to x	$\int 9 \frac{\sin (2 x)}{\sin (x)} d x$
43394	Simplify	((m-4)/(3m^2+24m))÷((m-4)/(m-6))	$\frac{m - 4}{3 m^{2} + 24 m} \div \frac{m - 4}{m - 6}$
43395	Find the Secant Given the Point	(-5/9,(2 square root of 14)/9)	$(- \frac{5}{9}, \frac{2 \sqrt{14}}{9})$
43396	Simplify	( cube root of 512)÷( square root of 16)	$\sqrt[3]{512} \div \sqrt{16}$
43397	Evaluate the Integral	integral of 1/(by^2+b^3) with respect to y	$\int \frac{1}{b y^{2} + b^{3}} d y$
43398	Simplify	( square root of 40-2 square root of 5)/( square root of 10)	$\frac{\sqrt{40} - 2 \sqrt{5}}{\sqrt{10}}$
43399	Find the Product	x(x+3)	$x (x + 3)$
43400	Simplify	( square root of 27x^9)^4	${(\sqrt{27 x^{9}})}^{4}$