Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
213101	Find the Roots (Zeros)	3x^2-24x=-12	$3 x^{2} - 24 x = - 12$
213102	Graph	cos(theta)>0 , tan(theta)<0	$\cos (θ) > 0$ , $\tan (θ) < 0$
213103	Solve the System of Equations	x^2+y^2=25 y=3/4x-25/4	$x^{2} + y^{2} = 25$ $y = \frac{3}{4} x - \frac{25}{4}$
213104	Find the Excluded Values	7/x-9/(x-4)=5	$\frac{7}{x} - \frac{9}{x - 4} = 5$
213105	Simplify the Radical Expression	square root of 27/16	$\sqrt{\frac{27}{16}}$
213106	Solve the Inequality for x	-6x^2+27x-13>=8x-10	$- 6 x^{2} + 27 x - 13 \geq 8 x - 10$
213107	Evaluate	cot(x)^2-csc(x)^2	$\cot^{2} (x) - \csc^{2} (x)$
213108	Simplify	(x^11y^3)/(x^11y)	$\frac{x^{11} y^{3}}{x^{11} y}$
213109	Write in Standard Form	(3x^2-2x+1)(x^2+x-4)	$(3 x^{2} - 2 x + 1) (x^{2} + x - 4)$
213110	Round to the Nearest Hundredth	43/14	$\frac{43}{14}$
213111	Find the x and y Intercepts	f(x)=(-3x(x-2))/((x-2)(x+2))	$f (x) = \frac{- 3 x (x - 2)}{(x - 2) (x + 2)}$
213112	Graph Using a Table of Values	F(x)=(1/3)^(-x)	$F (x) = {(\frac{1}{3})}^{- x}$
213113	Find the x and y Intercepts	3x+12=-6	$3 x + 12 = - 6$
213114	Write in Slope-Intercept Form	y-2=x-3	$y - 2 = x - 3$
213115	Simplify	11i^59+6i^12+9i^15+i^11	$11 i^{59} + 6 i^{12} + 9 i^{15} + i^{11}$
213116	Write in y=mx+b Form	(-6,-5) and (-4,-4)	$(- 6, - 5)$ and $(- 4, - 4)$
213117	Graph	x/4<4y-3	$\frac{x}{4} < 4 y - 3$
213118	Simplify	1/3n^3(6n-9p+18np^4)	$\frac{1}{3} n^{3} (6 n - 9 p + 18 n p^{4})$
213119	Simplify	6 square root of x- square root of x-3 square root of y+ square root of y	$6 \sqrt{x} - \sqrt{x} - 3 \sqrt{y} + \sqrt{y}$
213120	Factor	49n^3-c^2n	$49 n^{3} - c^{2} n$
213121	Find the Product	-3n(n^2-2n+8)	$- 3 n (n^{2} - 2 n + 8)$
213122	Graph	F(x)=-1/2x^4-x^3+x+2	$F (x) = - \frac{1}{2} x^{4} - x^{3} + x + 2$
213123	Factor	75a^2c-45a^2d-30bc+18bd	$75 a^{2} c - 45 a^{2} d - 30 b c + 18 b d$
213124	Solve the Inequality for p	4(2+3p)-2(1+3p)>=32	$4 (2 + 3 p) - 2 (1 + 3 p) \geq 32$
213125	Solve the Inequality for x	2x^2+4x+22<-10x+2	$2 x^{2} + 4 x + 22 < - 10 x + 2$
213126	Simplify	(m^2-m)+(2m+m^2)	$(m^{2} - m) + (2 m + m^{2})$
213127	Evaluate	(6*6^-6)^5	${(6 \cdot 6^{- 6})}^{5}$
213128	Simplify	(1/(x+1)-3/(x^3+1)+3/(x^2-x+1))÷(x-(2x-1)/(x+1))	$(\frac{1}{x + 1} - \frac{3}{x^{3} + 1} + \frac{3}{x^{2} - x + 1}) \div (x - \frac{2 x - 1}{x + 1})$
213129	Simplify	square root of (7m^2)/(y^3)	$\sqrt{\frac{7 m^{2}}{y^{3}}}$
213130	Simplify the Radical Expression	cube root of 7* fourth root of 7	$\sqrt[3]{7} \cdot \sqrt[4]{7}$
213131	Solve the Inequality for c	-15c+6>4+5c	$- 15 c + 6 > 4 + 5 c$
213132	Convert to Interval Notation	x>=1 or x<-1	$x \geq 1$ or $x < - 1$
213133	Solve the Inequality for x	-4x^2-5x+2>=-10x-4	$- 4 x^{2} - 5 x + 2 \geq - 10 x - 4$
213134	Simplify	( fourth root of z^5)/( fifth root of z)	$\frac{\sqrt[4]{z^{5}}}{\sqrt[5]{z}}$
213135	Find the Exact Value	cot(-(7pi)/3)	$\cot (- \frac{7 π}{3})$
213136	Simplify	square root of 2-3	$\sqrt{2 - 3}$
213137	Convert to Radical Form	((3^-6)/(7^-3))^5	${(\frac{3^{- 6}}{7^{- 3}})}^{5}$
213138	Simplify	(1-( square root of 3)/3)/(1+( square root of 3)/3)	$\frac{1 - \frac{\sqrt{3}}{3}}{1 + \frac{\sqrt{3}}{3}}$
213139	Solve the System of Equations	y=2x+1 and y=4x-1	$y = 2 x + 1$ and $y = 4 x - 1$
213140	Evaluate	square root of 3x+7=x-1	$\sqrt{3 x + 7} = x - 1$
213141	Find the First Term	a_n=1/8+2/3n	$a_{n} = \frac{1}{8} + \frac{2}{3} n$
213142	Simplify	(x+4)/(x^2-4)+(-2x-2)/(x^2-4)	$\frac{x + 4}{x^{2} - 4} + \frac{- 2 x - 2}{x^{2} - 4}$
213143	Simplify	fourth root of 81x^9* square root of 144x	$\sqrt[4]{81 x^{9}} \cdot \sqrt{144 x}$
213144	Divide Using Synthetic Division	Use synthetic division to find the result when 3x^3-2x^2-5x-6 is divided by x-2	Use synthetic division to find the result when $3 x^{3} - 2 x^{2} - 5 x - 6$ is divided by $x - 2$
213145	Solve for A	cot(theta)=A/B	$\cot (θ) = \frac{A}{B}$
213146	Simplify	fifth root of a^3b^2* fifth root of b^3c^4* fifth root of a^2c	$\sqrt[5]{a^{3} b^{2}} \cdot \sqrt[5]{b^{3} c^{4}} \cdot \sqrt[5]{a^{2} c}$
213147	Simplify	(a^2b^7)^2(-4ab^2)^2	${(a^{2} b^{7})}^{2} {(- 4 a b^{2})}^{2}$
213148	Graph	y=2cos(b(x-2))-1	$y = 2 \cos (b (x - 2)) - 1$
213149	Solve for x	y=4x y=24	$y = 4 x$ $y = 24$
213150	Graph	cos(theta)<0 and sin(theta)>0	$\cos (θ) < 0$ and $\sin (θ) > 0$
213151	Graph	y>=2 1<=x<=5 y<=x+3 f(x,y)=3x-2y	$y \geq 2$ $1 \leq x \leq 5$ $y \leq x + 3$ $f (x, y) = 3 x - 2 y$
213152	Graph	ax+5y>3 y-2<2/5x	$a x + 5 y > 3$ $y - 2 < \frac{2}{5} x$
213153	Solve for b	7+2b^2=79	$7 + 2 b^{2} = 79$
213154	Solve for x	x^2=(3x)/(x-2)	$x^{2} = \frac{3 x}{x - 2}$
213155	Solve for y	2^y=1/8	$2^{y} = \frac{1}{8}$
213156	Simplify	xy^4x^-2	$x y^{4} x^{- 2}$
213157	Simplify	(3 square root of 12x^3)/( square root of 75x)	$\frac{3 \sqrt{12 x^{3}}}{\sqrt{75 x}}$
213158	Factor	12x+5ay+12y+5ax	$12 x + 5 a y + 12 y + 5 a x$
213159	Graph	g(x)=x if x<1; 3 if x=1; 2-x^2 if 12	$g (x) = {\begin{cases} x & x < 1 \\ 3 & x = 1 \\ 2 - x^{2} & 12 \end{cases}$
213160	Solve for y	4x=y^2	$4 x = y^{2}$
213161	Find the Product	-3n(n^2+2n)	$- 3 n (n^{2} + 2 n)$
213162	Graph	8-x>=5(8-x)	$8 - x \geq 5 (8 - x)$
213163	Simplify	(2^(1/2)x^-2)^(-2/3)	${(2^{\frac{1}{2}} x^{- 2})}^{\frac{- 2}{3}}$
213164	Simplify	((3a^-2y)/(x^3))^-2	${(\frac{3 a^{- 2} y}{x^{3}})}^{- 2}$
213165	Find the Inverse	f(x)=(1-x)/(2x)	$f (x) = \frac{1 - x}{2 x}$
213166	Simplify	(5a^2b^3c^4)^4(6a^3b^4c^2)	${(5 a^{2} b^{3} c^{4})}^{4} (6 a^{3} b^{4} c^{2})$
213167	Evaluate	((2^7)/2)^-4	${(\frac{2^{7}}{2})}^{- 4}$
213168	Simplify/Condense	log base b of 9-2 log base b of 3	$\log_{b} (9) - 2 \log_{b} (3)$
213169	Write the Fraction in Simplest Form	(-20w^7)/(-4(w^-5)^3)	$\frac{- 20 w^{7}}{- 4 {(w^{- 5})}^{3}}$
213170	Simplify	3x^2-x+7+5x+2-2x^2	$3 x^{2} - x + 7 + 5 x + 2 - 2 x^{2}$
213171	Evaluate	3/4(-1)^(4/3)	$\frac{3}{4} {(- 1)}^{\frac{4}{3}}$
213172	Simplify	(-8x^8+18x^6)/(-2x^4)	$\frac{- 8 x^{8} + 18 x^{6}}{- 2 x^{4}}$
213173	Simplify	-1/x(1-x)/(1+x)x/(x^2-1)	$- \frac{1}{x} \cdot \frac{1 - x}{1 + x} \cdot \frac{x}{x^{2} - 1}$
213174	Simplify	5x^2(-2x^2y^3)^4	$5 x^{2} {(- 2 x^{2} y^{3})}^{4}$
213175	Simplify	1-(a+b)/(a-b)	$1 - \frac{a + b}{a - b}$
213176	Find the x and y Intercepts	f(x)=-(1/3)^(x+4)	$f (x) = - {(\frac{1}{3})}^{x + 4}$
213177	Find the Roots (Zeros)	8x^5-14x^4-22x^3+57x^2-35x+6	$8 x^{5} - 14 x^{4} - 22 x^{3} + 57 x^{2} - 35 x + 6$
213178	Simplify	(csc(x))/(cot(x)^2)-(tan(x)^2)/(csc(x))	$\frac{\csc (x)}{\cot^{2} (x)} - \frac{\tan^{2} (x)}{\csc (x)}$
213179	Solve for x	5 square root of x-1=x+3	$5 \sqrt{x - 1} = x + 3$
213180	Solve the Inequality for x	(-2x+10+4x)/2>4	$\frac{- 2 x + 10 + 4 x}{2} > 4$
213181	Simplify	6e^0+(11f)^0-5/(g^0)	$6 e^{0} + {(11 f)}^{0} - \frac{5}{g^{0}}$
213182	Find the First Term	a_n=n*(n+1)!	$a_{n} = n \cdot (n + 1)!$
213183	Find the Second Term	a_n=n*(n+1)!	$a_{n} = n \cdot (n + 1)!$
213184	Evaluate	1-5/2(-4/7)	$1 - \frac{5}{2} (- \frac{4}{7})$
213185	Simplify	ax(2b+3c)	$a x (2 b + 3 c)$
213186	Simplify the Radical Expression	5/(-4+ square root of 5)	$\frac{5}{- 4 + \sqrt{5}}$
213187	Simplify the Radical Expression	( square root of a square root of b)/( ninth root of ab)	$\frac{\sqrt{a \sqrt{b}}}{\sqrt[9]{a b}}$
213188	Evaluate	(1+( square root of 3)/3)/(1-( square root of 3)/3)	$\frac{1 + \frac{\sqrt{3}}{3}}{1 - \frac{\sqrt{3}}{3}}$
213189	Simplify	(3/x+2/y)/(1+4/y)	$\frac{\frac{3}{x} + \frac{2}{y}}{1 + \frac{4}{y}}$
213190	Graph	y>=1/4x+5 y<1/4x+2	$y \geq \frac{1}{4} x + 5$ $y < \frac{1}{4} x + 2$
213191	Find the Exact Value	26*26^8	$26 \cdot 26^{8}$
213192	Simplify	27x^3+27/2x^2+9/4x+1/8	$27 x^{3} + \frac{27}{2} x^{2} + \frac{9}{4} x + \frac{1}{8}$
213193	Simplify	(4x^2+20x)/(5x^2+x^3)	$\frac{4 x^{2} + 20 x}{5 x^{2} + x^{3}}$
213194	Solve for x	2x=y+4	$2 x = y + 4$
213195	Solve for n	x^12*x^n=x^12	$x^{12} \cdot x^{n} = x^{12}$
213196	Simplify	(8x-3)/(16x+28)-(x-7)/(4x+7)	$\frac{8 x - 3}{16 x + 28} - \frac{x - 7}{4 x + 7}$
213197	Simplify	(6x^3)/(2x^4y^2)	$\frac{6 x^{3}}{2 x^{4} y^{2}}$
213198	Graph	y=x-6 y=x+2	$y = x - 6$ $y = x + 2$
213199	Simplify the Radical Expression	21 root of (p^-4)/(p^3)	$\sqrt[21]{\frac{p^{- 4}}{p^{3}}}$
213200	Write in Standard Form	f(x)=(5x+3)(25x^2-15x+9)	$f (x) = (5 x + 3) (25 x^{2} - 15 x + 9)$