Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
213201	Find the Domain and Range	f(x)=-1/4e^(x-3)	$f (x) = - \frac{1}{4} e^{x - 3}$
213202	Find the Inverse	f(x)=1/2x^3+1/2	$f (x) = \frac{1}{2} x^{3} + \frac{1}{2}$
213203	Simplify	(3xy-1)^3	${(3 x y - 1)}^{3}$
213204	Find the x and y Intercepts	(-3x^2+21x-36)/(5x-20)	$\frac{- 3 x^{2} + 21 x - 36}{5 x - 20}$
213205	Simplify	(-125/64)^(-1/3)	${(- \frac{125}{64})}^{\frac{- 1}{3}}$
213206	Simplify	(2-x)^2+3	${(2 - x)}^{2} + 3$
213207	Simplify the Radical Expression	0.7 square root of 300	$0.7 \sqrt{300}$
213208	Find the Exact Value	sec((-11pi)/6)	$\sec (\frac{- 11 π}{6})$
213209	Find the Roots (Zeros)	-xe^(-x)+e^(-x)	$- x e^{- x} + e^{- x}$
213210	Solve for y	x=5/(3y-2)	$x = \frac{5}{3 y - 2}$
213211	Find the Equation Given the Roots	3 , 4+2i , 1+ square root of 7	$3$ , $4 + 2 i$ , $1 + \sqrt{7}$
213212	Evaluate	30 degrees *pi/180	$30 ° \cdot \frac{π}{180}$
213213	Evaluate	(5x-4)^(1/2)-x=0	${(5 x - 4)}^{\frac{1}{2}} - x = 0$
213214	Solve the Inequality for p	-3p>-48	$- 3 p > - 48$
213215	Solve the Rational Equation for x	x-x/(x+7)=7/(x+7)	$x - \frac{x}{x + 7} = \frac{7}{x + 7}$
213216	Solve for w	25% of what number w is 9	$25 %$ of what number $w$ is $9$
213217	Simplify	(4z^(a+2))÷(-8z^(a-2))	$4 z^{a + 2} \div (- 8 z^{a - 2})$
213218	Divide	(-5/6)÷(3/10)	$- \frac{5}{6} \div \frac{3}{10}$
213219	Solve for k	e^(k^2+9)e^(-k)=e^(2k+5)e^(3k-4)	$e^{k^{2} + 9} \cdot e^{- k} = e^{2 k + 5} \cdot e^{3 k - 4}$
213220	Graph	4x+3y<-2 y<=5	$4 x + 3 y < - 2$ $y \leq 5$
213221	Solve the System of Inequalities	4x+3>15 or -6x>=12	$4 x + 3 > 15$ or $- 6 x \geq 12$
213222	Solve for x	log base 3 of x+5 = log base 3 of 2x+10	$\log_{3} (x) + 5 = \log_{3} (2 x) + 10$
213223	Solve by Factoring	3x^2-21=4-x^2	$3 x^{2} - 21 = 4 - x^{2}$
213224	Evaluate	52-3x<-14	$52 - 3 x < - 14$
213225	Solve the Rational Equation for x	square root of 3x+8=x+2	$\sqrt{3 x} + 8 = x + 2$
213226	Find the Slope and y-intercept	y-1=3x+8.4	$y - 1 = 3 x + 8.4$
213227	Simplify	(7(2^x)-8*2^(x-2))/(2^(x+1)-2^(x-1))	$\frac{7 (2^{x}) - 8 \cdot 2^{x - 2}}{2^{x + 1} - 2^{x - 1}}$
213228	Solve the System of Equations	-9x-2y=-3 and -2x-3y=7	$- 9 x - 2 y = - 3$ and $- 2 x - 3 y = 7$
213229	Evaluate	log base 2 of y=x+7	$\log_{2} (y) = x + 7$
213230	Find the Domain and Range	f(x)=-1/( square root of -5x+4)	$f (x) = - \frac{1}{\sqrt{- 5 x + 4}}$
213231	Multiply	-4x^2y(x^2+7xy-6y^3)	$- 4 x^{2} y (x^{2} + 7 x y - 6 y^{3})$
213232	Simplify	((xy^4)/(-4z^8))^2	${(\frac{x y^{4}}{- 4 z^{8}})}^{2}$
213233	Evaluate	(1/4)^x=256	${(\frac{1}{4})}^{x} = 256$
213234	Solve for u	-4u+13u+5=6u+32	$- 4 u + 13 u + 5 = 6 u + 32$
213235	Solve for t	2t+5=2t+5	$2 t + 5 = 2 t + 5$
213236	Simplify	7x square root of 8- square root of 18+3 square root of 32-3x square root of 50	$7 x \sqrt{8} - \sqrt{18} + 3 \sqrt{32} - 3 x \sqrt{50}$
213237	Evaluate	(-3^2-9)/(-3+3)	$\frac{- 3^{2} - 9}{- 3 + 3}$
213238	Evaluate	(cot(theta))/(csc(theta))	$\frac{\cot (θ)}{\csc (θ)}$
213239	Solve for x	(tan(x)+ square root of 3)(2sin(x)- square root of 2)=0	$(\tan (x) + \sqrt{3}) (2 \sin (x) - \sqrt{2}) = 0$
213240	Solve for y	square root of 36=3y	$\sqrt{36} = 3 y$
213241	Solve for x	5x-8=11-7x+12x	$5 x - 8 = 11 - 7 x + 12 x$
213242	Find the Degree, Leading Term, and Leading Coefficient	y=x(x^2-5)	$y = x (x^{2} - 5)$
213243	Find the Exact Value	pi/2-pi/4	$\frac{π}{2} - \frac{π}{4}$
213244	Simplify	(3x-5)/(x^2+3x+2)+x/(x+2)	$\frac{3 x - 5}{x^{2} + 3 x + 2} + \frac{x}{x + 2}$
213245	Find the Domain and Range	f(x)=1/2 square root of x+4-1	$f (x) = \frac{1}{2} \sqrt{x + 4} - 1$
213246	Write in Standard Form	7x=6-2y	$7 x = 6 - 2 y$
213247	Simplify	(x^5y^3)^3(xy^5)^2	${(x^{5} y^{3})}^{3} {(x y^{5})}^{2}$
213248	Find the Inverse	f^-1(x) = cube root of 4-x	$f^{- 1} (x) = \sqrt[3]{4 - x}$
213249	Determine if a Polynomial	x^2+x/4	$x^{2} + \frac{x}{4}$
213250	Solve the Inequality for x	x^2-15x+36<=-2x	$x^{2} - 15 x + 36 \leq - 2 x$
213251	Solve for x	x-(9x-10)+11=12x+3(-2x+1/3)	$x - (9 x - 10) + 11 = 12 x + 3 (- 2 x + \frac{1}{3})$
213252	Simplify	(5i-3)^2	${(5 i - 3)}^{2}$
213253	Solve the Inequality for x	-1<2x<=8	$- 1 < 2 x \leq 8$
213254	Simplify	(1/3i)/(2/3i)	$\frac{\frac{1}{3} i}{\frac{2}{3} i}$
213255	Solve the Inequality for x	\|(x+1)/(x-2)\|<1	$\| \frac{x + 1}{x - 2} \| < 1$
213256	Rationalize the Denominator	(4- square root of 3)/(4+ square root of 3)	$\frac{4 - \sqrt{3}}{4 + \sqrt{3}}$
213257	Solve for x	log base x of 7x=2	$\log_{x} (7 x) = 2$
213258	Simplify	square root of (5x^2y^2)/4+ square root of 5x^2y^2	$\sqrt{\frac{5 x^{2} y^{2}}{4}} + \sqrt{5 x^{2} y^{2}}$
213259	Solve for t	t/4+3=2t-b	$\frac{t}{4} + 3 = 2 t - b$
213260	Simplify	square root of 135+5 square root of 10d-3 square root of 60	$\sqrt{135} + 5 \sqrt{10 d} - 3 \sqrt{60}$
213261	Solve for x	81x^2-180x+100=100	$81 x^{2} - 180 x + 100 = 100$
213262	Simplify	Simplify square root of 45	Simplify $\sqrt{45}$
213263	Evaluate	1/2(5/6)^2-1/9	$\frac{1}{2} {(\frac{5}{6})}^{2} - \frac{1}{9}$
213264	Solve for x	4+3x+1-x=5+2x	$4 + 3 x + 1 - x = 5 + 2 x$
213265	Find the Exact Value	3^3+1	$3^{3} + 1$
213266	Simplify	(( square root of 2)/3-( square root of 2)/3i)^2	${(\frac{\sqrt{2}}{3} - \frac{\sqrt{2}}{3} i)}^{2}$
213267	Solve for y	1000=y^3	$1000 = y^{3}$
213268	Evaluate the Function	h(x)=5x^3-3x^2+2x+4 , x=-1/3	$h (x) = 5 x^{3} - 3 x^{2} + 2 x + 4$ , $x = - \frac{1}{3}$
213269	Simplify	(5+m)-m	$(5 + m) - m$
213270	Solve for y	3(y-2)+5=19	$3 (y - 2) + 5 = 19$
213271	Evaluate	3+4-8*2+(4+2)	$3 + 4 - 8 \cdot 2 + (4 + 2)$
213272	Evaluate	10% of 80	$10 %$ of $80$
213273	Evaluate	(2x^3)/( cube root of x)	$\frac{2 x^{3}}{\sqrt[3]{x}}$
213274	Evaluate	(4x^4y^-4)^3	${(4 x^{4} y^{- 4})}^{3}$
213275	Find the Product	(2x^2-x-3)/(x+4)*(x^2-2x-24)/(x+1)	$\frac{2 x^{2} - x - 3}{x + 4} \cdot \frac{x^{2} - 2 x - 24}{x + 1}$
213276	Find the Points of Intersection	x+3y=3 2x+6y=6	$x + 3 y = 3$ $2 x + 6 y = 6$
213277	Divide	((2x)/3)÷((3x)/2)	$\frac{2 x}{3} \div \frac{3 x}{2}$
213278	Graph	Graph y> = square root of x-2+1	Graph $y \geq \sqrt{x - 2} + 1$
213279	Multiply	(x^2-12x+27)*(x-9)	$(x^{2} - 12 x + 27) \cdot (x - 9)$
213280	Write in Standard Form	f(x)=-5x^2-6-4x	$f (x) = - 5 x^{2} - 6 - 4 x$
213281	Write the Fraction in Simplest Form	(12a^5)/(-4(a^5)^4)	$\frac{12 a^{5}}{- 4 {(a^{5})}^{4}}$
213282	Simplify	(2y)/(3 square root of 3y)	$\frac{2 y}{3 \sqrt{3 y}}$
213283	Solve for B	(tan(x)+sec(x))^2=(A+sin(x))/(B-sin(x))	${(\tan (x) + \sec (x))}^{2} = \frac{A + \sin (x)}{B - \sin (x)}$
213284	Find the Exact Value	cot((1pi)/6)	$\cot (\frac{1 π}{6})$
213285	Simplify	6 square root of 5- square root of 11-6 square root of 5- square root of 11	$6 \sqrt{5} - \sqrt{11} - 6 \sqrt{5} - \sqrt{11}$
213286	Solve the System of Equations	x^2+(y+1)^2=37 -x+y=-6	$x^{2} + {(y + 1)}^{2} = 37$ $- x + y = - 6$
213287	Solve for n	log base 9 of 15-4n=1/2	$\log_{9} (15 - 4 n) = \frac{1}{2}$
213288	Simplify	square root of x^3* cube root of x	$\sqrt{x^{3}} \cdot \sqrt[3]{x}$
213289	Simplify	(6- square root of 3)/( square root of 3+4)	$\frac{6 - \sqrt{3}}{\sqrt{3} + 4}$
213290	Solve for x	(4x)/3-5y=11	$\frac{4 x}{3} - 5 y = 11$
213291	Simplify	((2^2)^-1)/(2^2)	$\frac{{(2^{2})}^{- 1}}{2^{2}}$
213292	Evaluate	-1/2(2)^0	$- \frac{1}{2} {(2)}^{0}$
213293	Solve for x	\|3-x\|-\|x+2\|=5	$\| 3 - x \| - \| x + 2 \| = 5$
213294	Find the Excluded Values	(p^2-3p-10)/(p^2+p-2)	$\frac{p^{2} - 3 p - 10}{p^{2} + p - 2}$
213295	Simplify	9x+4x(2+3)-4(2x+3x)	$9 x + 4 x (2 + 3) - 4 (2 x + 3 x)$
213296	Multiply	-12*(8-2i)	$- 12 \cdot (8 - 2 i)$
213297	Simplify	(5+x square root of 6)^2	${(5 + x \sqrt{6})}^{2}$
213298	Solve for x	3(x+5)^(1/3)-6=0	$3 {(x + 5)}^{\frac{1}{3}} - 6 = 0$
213299	Solve for s	-2(13s-14)=4(-8s+10)	$- 2 (13 s - 14) = 4 (- 8 s + 10)$
213300	Write in Standard Form	-x^3+10x-4x^5+3x^2+7x^4+14	$- x^{3} + 10 x - 4 x^{5} + 3 x^{2} + 7 x^{4} + 14$