Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
232301	Solve the System of Inequalities	x-2<6 or x/3>4	$x - 2 < 6$ or $\frac{x}{3} > 4$
232302	Solve the System of Equations	1/3x+2y=-1 y=2/3x-3	$\frac{1}{3} x + 2 y = - 1$ $y = \frac{2}{3} x - 3$
232303	Multiply	75/33/7	$7 \cdot \frac{5}{3} \cdot \frac{3}{7}$
232304	Simplify	fourth root of x^(2/3)	$\sqrt[4]{x^{\frac{2}{3}}}$
232305	Graph	-x+y=x-5	$- x + y = x - 5$
232306	Write as a Single Logarithm	log base 4 of 5+ log base 4 of b+ log base 4 of c- log base 4 of d	$\log_{4} (5) + \log_{4} (b) + \log_{4} (c) - \log_{4} (d)$
232307	Find the Domain and Range	- log base 3 of x+2	$- \log_{3} (x) + 2$
232308	Solve the Inequality for x	(0.2)^(x+1)<0.04	${(0.2)}^{x + 1} < 0.04$
232309	Simplify	( cube root of 4v^7)( cube root of 80v^5)	$(\sqrt[3]{4 v^{7}}) (\sqrt[3]{80 v^{5}})$
232310	Find the Exact Value	sin(30)^2+cos(45)^2	$\sin^{2} (30) + \cos^{2} (45)$
232311	Solve Over the Interval	sin(2x)=sin(x) and 0<=x<=2pi	$\sin (2 x) = \sin (x)$ and $0 \leq x \leq 2 π$
232312	Simplify	-5m^4n^-3p^0	$- 5 m^{4} n^{- 3} p^{0}$
232313	Find the Holes in the Graph	(x^2-5x+4)/(2x^2-2x)	$\frac{x^{2} - 5 x + 4}{2 x^{2} - 2 x}$
232314	Write in Standard Form	f(x)=8x^2+10x^7-7x^3-x^4	$f (x) = 8 x^{2} + 10 x^{7} - 7 x^{3} - x^{4}$
232315	Solve for y	5y+1=8y-5+6y	$5 y + 1 = 8 y - 5 + 6 y$
232316	Simplify	(4d^2t^5v^-4)+(-5dt^-3v^-1)	$(4 d^{2} t^{5} v^{- 4}) + (- 5 d t^{- 3} v^{- 1})$
232317	Solve the Inequality for x	1/5<(2x-4)/3<6	$\frac{1}{5} < \frac{2 x - 4}{3} < 6$
232318	Solve for x	cos(x)-1/2=0	$\cos (x) - \frac{1}{2} = 0$
232319	Identify the Sequence	5/6 , 2/3 , 1/2 , 1/3	$\frac{5}{6}$ , $\frac{2}{3}$ , $\frac{1}{2}$ , $\frac{1}{3}$
232320	Convert to a Decimal	2rev per s	$2$ revolutions per second
232321	Simplify	(12x^3-8x^2)/(2x^2)	$\frac{12 x^{3} - 8 x^{2}}{2 x^{2}}$
232322	Simplify	((27p^5)(-8p^10))^(1/3)	${((27 p^{5}) (- 8 p^{10}))}^{\frac{1}{3}}$
232323	Simplify	square root of cube root of 4^10	$\sqrt{\sqrt[3]{4^{10}}}$
232324	Divide	( cube root of 18y^2)/( cube root of 12y)	$\frac{\sqrt[3]{18 y^{2}}}{\sqrt[3]{12 y}}$
232325	Evaluate	(4^2-5^2)*5	$(4^{2} - 5^{2}) \cdot 5$
232326	Solve for b	(4b+5)/(5b-11)=6/9	$\frac{4 b + 5}{5 b - 11} = \frac{6}{9}$
232327	Simplify	-2y^3+3y-3y+7y^3+1+2-5	$- 2 y^{3} + 3 y - 3 y + 7 y^{3} + 1 + 2 - 5$
232328	Solve for x	1/2(8x+26)=13+4x	$\frac{1}{2} (8 x + 26) = 13 + 4 x$
232329	Evaluate	natural log of 3- natural log of 2	$\ln (3) - \ln (2)$
232330	Solve the Inequality for w	w+1<-3	$w + 1 < - 3$
232331	Simplify	4(x-4)-2(3x^2+3x-20)	$4 (x - 4) - 2 (3 x^{2} + 3 x - 20)$
232332	Simplify	fifth root of (243x^7)/(y^14z^21)	$\sqrt[5]{\frac{243 x^{7}}{y^{14} z^{21}}}$
232333	Solve the System of Equations	x-5y+7z=-1 x+y+9z=-7 -x+6y-8z=0	$x - 5 y + 7 z = - 1$ $x + y + 9 z = - 7$ $- x + 6 y - 8 z = 0$
232334	Graph	y=-2 (x-1)^2-5	$y = - 2$ ${(x - 1)}^{2} - 5$
232335	Solve for x	1/4+3/(2x)=-3/(4x)	$\frac{1}{4} + \frac{3}{2 x} = - \frac{3}{4 x}$
232336	Find the Domain and Range	1/2*2^x-6	$\frac{1}{2} \cdot 2^{x} - 6$
232337	Solve for x	p(x)=0	$p (x) = 0$
232338	Find the Excluded Values	(x^2-49)/(x^2-81)	$\frac{x^{2} - 49}{x^{2} - 81}$
232339	Find the LCD	x/(x-2) and (7x)/(x-5)	$\frac{x}{x - 2}$ and $\frac{7 x}{x - 5}$
232340	Solve for x	x/10=10/(25-x)	$\frac{x}{10} = \frac{10}{25 - x}$
232341	Simplify	(7-i^2)(2+i^4)	$(7 - i^{2}) (2 + i^{4})$
232342	Write in Standard Form	(6+ square root of -3)(6+ square root of -7)	$(6 + \sqrt{- 3}) (6 + \sqrt{- 7})$
232343	Graph	g(n)=-(3n-1)(2n+1)	$g (n) = - (3 n - 1) (2 n + 1)$
232344	Factor	y=2x^3+x^2-x	$y = 2 x^{3} + x^{2} - x$
232345	Multiply	(2x^2-7x-1)(3x^2+x-1)	$(2 x^{2} - 7 x - 1) (3 x^{2} + x - 1)$
232346	Simplify	(r-2)/(r-1)-5/3	$\frac{r - 2}{r - 1} - \frac{5}{3}$
232347	Evaluate	square root of 5^3* fifth root of 5^4	$\sqrt{5^{3}} \cdot \sqrt[5]{5^{4}}$
232348	Convert to a Simplified Fraction	1.5/9	$\frac{1.5}{9}$
232349	Multiply	( square root of 5)( square root of 3-2 square root of 3)	$(\sqrt{5}) (\sqrt{3} - 2 \sqrt{3})$
232350	Find the Exact Value	- cube root of 125^5	$- \sqrt[3]{125^{5}}$
232351	Simplify	(2x)^(1/5)*(2x)^(-1/5)	${(2 x)}^{\frac{1}{5}} \cdot {(2 x)}^{\frac{- 1}{5}}$
232352	Graph	x<=-y	$x \leq - y$
232353	Write as a Single Logarithm	log of 72-1/3(2* log of 4+ log of 32)	$\log (72) - \frac{1}{3} (2 \cdot \log (4) + \log (32))$
232354	Simplify	Simplify: (-4dq)^2	Simplify: ${(- 4 d q)}^{2}$
232355	Solve by Factoring	x^2-2x+184=2x	$x^{2} - 2 x + 184 = 2 x$
232356	Simplify	-x^2y^-3*x^-2y^2	$- x^{2} y^{- 3} \cdot x^{- 2} y^{2}$
232357	Find the Roots (Zeros)	f(x)=-2(x^2-4)	$f (x) = - 2 (x^{2} - 4)$
232358	Simplify	(100x^2-100)/(1-x^2)	$\frac{100 x^{2} - 100}{1 - x^{2}}$
232359	Simplify	(3x)/5-3(x+17)	$\frac{3 x}{5} - 3 (x + 17)$
232360	Multiply	(x+(y-2))^2	${(x + (y - 2))}^{2}$
232361	Solve for r	1.27=(1+r/12)^84	$1.27 = {(1 + \frac{r}{12})}^{84}$
232362	Solve for x	5x-5/2(x-2)=10	$5 x - \frac{5}{2} (x - 2) = 10$
232363	Simplify	(12x^3-16x^2y+3xy^2+9y^2)(2x^3y)^-1	$(12 x^{3} - 16 x^{2} y + 3 x y^{2} + 9 y^{2}) {(2 x^{3} y)}^{- 1}$
232364	Graph	-(x+3)(x+1)^2(2x-5)	$- (x + 3) {(x + 1)}^{2} (2 x - 5)$
232365	Simplify the Radical Expression	-10x square root of 40-2 square root of 10x^2	$- 10 x \sqrt{40} - 2 \sqrt{10 x^{2}}$
232366	Find the Exact Value	tan(4pi)-sin(-(17pi)/6)+cos(-(13pi)/3)	$\tan (4 π) - \sin (- \frac{17 π}{6}) + \cos (- \frac{13 π}{3})$
232367	Solve the Inequality for x	square root of 2- square root of x+6<=- square root of x	$\sqrt{2} - \sqrt{x + 6} \leq - \sqrt{x}$
232368	Solve the System of Equations	x+y+10=0 x^2+y-2=0	$x + y + 10 = 0$ $x^{2} + y - 2 = 0$
232369	Solve for d	3d-7d+2.8<5.8-27	$3 d - 7 d + 2.8 < 5.8 - 27$
232370	Graph	f(x)=(-3x^2-21x-36)/(2x^2+6x)	$f (x) = \frac{- 3 x^{2} - 21 x - 36}{2 x^{2} + 6 x}$
232371	Solve for t	t^2+9t-4=-5	$t^{2} + 9 t - 4 = - 5$
232372	Find the Degree	s^3+s^2+(s^5)/4	$s^{3} + s^{2} + \frac{s^{5}}{4}$
232373	Factor	m^4+4m^2n+4n^2	$m^{4} + 4 m^{2} n + 4 n^{2}$
232374	Multiply	3*2/3	$3 \times \frac{2}{3}$
232375	Evaluate	3(-(6-1)+2^3)	$3 (- (6 - 1) + 2^{3})$
232376	Simplify the Radical Expression	fourth root of x* cube root of x	$\sqrt[4]{x} \cdot \sqrt[3]{x}$
232377	Find the Equation Using Point-Slope Formula	(1,-8) and (-4,4)	$(1, - 8)$ and $(- 4, 4)$
232378	Graph	A(t)=300te^(-2.5t)	$A (t) = 300 t e^{- 2.5 t}$
232379	Simplify	( square root of 8)/( square root of 2x+6)	$\frac{\sqrt{8}}{\sqrt{2 x} + 6}$
232380	Evaluate	(cos(0.01)-1)/0.01	$\frac{\cos (0.01) - 1}{0.01}$
232381	Graph Using a Table of Values	f(x)=1/2x+2	$f (x) = \frac{1}{2} x + 2$
232382	Solve for θ	tan(2theta)+tan(theta)=0	$\tan (2 θ) + \tan (θ) = 0$
232383	Solve the System of Equations	-2x-3y=-10 and 6x+9y=30	$- 2 x - 3 y = - 10$ and $6 x + 9 y = 30$
232384	Find the Degree, Leading Term, and Leading Coefficient	f(x)=-10x-6+x^3-8x^2	$f (x) = - 10 x - 6 + x^{3} - 8 x^{2}$
232385	Factor	16x^4-1/16	$16 x^{4} - \frac{1}{16}$
232386	Simplify	(1+x/y)/(1-x/y)	$\frac{1 + \frac{x}{y}}{1 - \frac{x}{y}}$
232387	Find the Exact Value	(2pi)/((2pi)/3)	$\frac{2 π}{\frac{2 π}{3}}$
232388	Simplify	25r^3+9s-2r^3+5s	$25 r^{3} + 9 s - 2 r^{3} + 5 s$
232389	Find All Complex Solutions	7(5x+9)=18-(x+9)	$7 (5 x + 9) = 18 - (x + 9)$
232390	Solve for a	a^3=100	$a^{3} = 100$
232391	Evaluate	2(1)-3(1)^(2/3)	$2 (1) - 3 {(1)}^{\frac{2}{3}}$
232392	Solve for Q	6Q-11=21	$6 Q - 11 = 21$
232393	Solve the Inequality for p	-8(p+2)<-56	$- 8 (p + 2) < - 56$
232394	Solve for n	V=C(1-n/N)	$V = C (1 - \frac{n}{N})$
232395	Simplify	(2x+4)/(6x+12)	$\frac{2 x + 4}{6 x + 12}$
232396	Solve for y₁	d = square root of (x_2-x_1)^2+(y_2-y_1)^2	$d = \sqrt{{(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2}}$
232397	Solve the System of Inequalities	x^2+y^2<=49 x^2-4y^2>16	$x^{2} + y^{2} \leq 49$ $x^{2} - 4 y^{2} > 16$
232398	Find the Roots (Zeros)	f(x)=-3(x-1)^2(x^2-4)	$f (x) = - 3 {(x - 1)}^{2} (x^{2} - 4)$
232399	Solve for t	t^(-5/2)=32	$t^{- \frac{5}{2}} = 32$
232400	Evaluate	(2pi)÷(3/2)	$2 π \div \frac{3}{2}$