Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
196301	Simplify	(x^2-x)+(8x-2x^2)	$(x^{2} - x) + (8 x - 2 x^{2})$
196302	Solve the Inequality for b	b/8+(b+3)/6>=-3	$\frac{b}{8} + \frac{b + 3}{6} \geq - 3$
196303	Simplify	-2/3-2	$- \frac{2}{3} - 2$
196304	Evaluate	3 log base 2 of 4+1/2 log base 2 of 6-1/2 log base 2 of 24	$3 \log_{2} (4) + \frac{1}{2} \log_{2} (6) - \frac{1}{2} \log_{2} (24)$
196305	Factor	(a+b)^3-(b-c)^3	${(a + b)}^{3} - {(b - c)}^{3}$
196306	Find the x and y Intercepts	(5x+5)/(-x^2-2x-1)	$\frac{5 x + 5}{- x^{2} - 2 x - 1}$
196307	Solve for x	x+9=4(x-1)^2	$x + 9 = 4 {(x - 1)}^{2}$
196308	Evaluate	16^(2X-3)=4^(X+2)	$16^{2 X - 3} = 4^{X + 2}$
196309	Convert to a Simplified Fraction	0.2 as a fraction	$0.2$ as a fraction
196310	Solve for x	(x^2-100)(x^2+1)=0	$(x^{2} - 100) (x^{2} + 1) = 0$
196311	Divide	((x-1)/3)÷((2x-2)/6)	$\frac{x - 1}{3} \div \frac{2 x - 2}{6}$
196312	Solve for x	log base x of 8x-3- log base x of 4=2	$\log_{x} (8 x - 3) - \log_{x} (4) = 2$
196313	Simplify	(24 square root of 225x^22)/(4 square root of 5x^4)	$\frac{24 \sqrt{225 x^{22}}}{4 \sqrt{5 x^{4}}}$
196314	Simplify	(2+3/x)/(4-2/(3x))	$\frac{2 + \frac{3}{x}}{4 - \frac{2}{3 x}}$
196315	Solve for y	1/3(21y+39)=-36	$\frac{1}{3} (21 y + 39) = - 36$
196316	Solve for x	x^2+x^2=8^2	$x^{2} + x^{2} = 8^{2}$
196317	Solve for x	3=10^x	$3 = 10^{x}$
196318	Solve for y	6x-3y=12 for y	$6 x - 3 y = 12$ for $y$
196319	Factor by Grouping	x^2+4xy+4y^2	$x^{2} + 4 x y + 4 y^{2}$
196320	Solve for k	1/4k+1/2(1/2k+4)=6	$\frac{1}{4} k + \frac{1}{2} (\frac{1}{2} k + 4) = 6$
196321	Simplify	4x-8y+6x^2+3x-5y	$4 x - 8 y + 6 x^{2} + 3 x - 5 y$
196322	Solve for y	x/y=2	$\frac{x}{y} = 2$
196323	Evaluate	(3(-4)^2)/((-4)^2-4)	$\frac{3 {(- 4)}^{2}}{{(- 4)}^{2} - 4}$
196324	Solve for k	f=9/5(k-273)+32	$f = \frac{9}{5} (k - 273) + 32$
196325	Solve the Rational Equation for x	8^(2-x)=2	$8^{2 - x} = 2$
196326	Graph Using a Table of Values	f(x)=(-10x+20)/(x^2-3x-10)	$f (x) = \frac{- 10 x + 20}{x^{2} - 3 x - 10}$
196327	Solve for x	1+30/(x^2-9)=5/(x-3)	$1 + \frac{30}{x^{2} - 9} = \frac{5}{x - 3}$
196328	Solve the Inequality for x	-2x-3+8<-3(3x+5)	$- 2 x - 3 + 8 < - 3 (3 x + 5)$
196329	Evaluate the Function	f(x)=-2x^2-4 for x=3	$f (x) = - 2 x^{2} - 4$ for $x = 3$
196330	Simplify	(5+i)-(3+i)	$(5 + i) - (3 + i)$
196331	Solve for x	3+4\|3x+7\|>=-89	$3 + 4 \| 3 x + 7 \| \geq - 89$
196332	Solve for x	5(-1/2x-1/2)-2x=9/2-6(x-1)	$5 (- \frac{1}{2} x - \frac{1}{2}) - 2 x = \frac{9}{2} - 6 (x - 1)$
196333	Identify the Zeros and Their Multiplicities	f(x)=-(x+2)(x+1)^2(x-1)	$f (x) = - (x + 2) {(x + 1)}^{2} (x - 1)$
196334	Simplify	(4x^2y^2+3x^2y-2xy^2+4xy)-(-3x^2y^2+3x^2y+2xy^2-2xy)	$(4 x^{2} y^{2} + 3 x^{2} y - 2 x y^{2} + 4 x y) - (- 3 x^{2} y^{2} + 3 x^{2} y + 2 x y^{2} - 2 x y)$
196335	Solve for θ	pi<theta<(3pi)/2	$π < θ < \frac{3 π}{2}$
196336	Solve for x	2=\|x\|-1	$2 = \| x \| - 1$
196337	Solve for X	-4X=3	$- 4 X = 3$
196338	Solve for x	x/a+x/3=c	$\frac{x}{a} + \frac{x}{3} = c$
196339	Solve the Inequality for x	(x-3)/(2x+5)>=1	$\frac{x - 3}{2 x + 5} \geq 1$
196340	Solve for x	(9x)/2-x/6=2	$\frac{9 x}{2} - \frac{x}{6} = 2$
196341	Find the Quotient	((2x-5)/4)÷((x+3)/4)	$\frac{2 x - 5}{4} \div \frac{x + 3}{4}$
196342	Find the Equation of the Circle	center (-7,-5) and diameter 2	center $(- 7, - 5)$ and diameter $2$
196343	Evaluate	(-(4/5-2/3(4/5+1/2)))÷(1/5)	$- (\frac{4}{5} - \frac{2}{3} (\frac{4}{5} + \frac{1}{2})) \div \frac{1}{5}$
196344	Solve for x	(3x-4)/x+3/(2x)=1/2	$\frac{3 x - 4}{x} + \frac{3}{2 x} = \frac{1}{2}$
196345	Graph	(1,10)	$(1, 10)$
196346	Solve for x	(7x+10)(x^2-13)=0	$(7 x + 10) (x^{2} - 13) = 0$
196347	Find the Exact Value	((-2x)^3(-x)^2)/((2x)^2)	$\frac{{(- 2 x)}^{3} {(- x)}^{2}}{{(2 x)}^{2}}$
196348	Solve for x	-2/3(x+3/5)=1/2	$- \frac{2}{3} (x + \frac{3}{5}) = \frac{1}{2}$
196349	Solve for x	7/2x-2=28-4x	$\frac{7}{2} x - 2 = 28 - 4 x$
196350	Simplify	-5x-x-8-x	$- 5 x - x - 8 - x$
196351	Graph	2x^2-16x=y-33	$2 x^{2} - 16 x = y - 33$
196352	Simplify	5/9-4/9+1/9	$\frac{5}{9} - \frac{4}{9} + \frac{1}{9}$
196353	Solve for x	a/3=2/5x	$\frac{a}{3} = \frac{2}{5} x$
196354	Solve Over the Interval	90 degrees <theta<180 degrees , sin(theta)=4/5	$90 ° < θ < 180 °$ , $\sin (θ) = \frac{4}{5}$
196355	Factor	ab-ac-b^2+2bc-c^2	$a b - a c - b^{2} + 2 b c - c^{2}$
196356	Solve the Inequality for x	y<3x^2+3x-6	$y < 3 x^{2} + 3 x - 6$
196357	Evaluate	(9x+5)+(-2x^2+10x)	$(9 x + 5) + (- 2 x^{2} + 10 x)$
196358	Simplify	(3x)/(2x-3)-3/(x+6)	$\frac{3 x}{2 x - 3} - \frac{3}{x + 6}$
196359	Solve for x	24/(x^2-x-6)-(x-1)/(x+2)=(x+3)/(3-x)	$\frac{24}{x^{2} - x - 6} - \frac{x - 1}{x + 2} = \frac{x + 3}{3 - x}$
196360	Solve for x	x-2(-x+9)=0	$x - 2 (- x + 9) = 0$
196361	Solve for w	w+9<-6w+3	$w + 9 < - 6 w + 3$
196362	Solve the Inequality for x	4\|x-2\|-4<16	$4 \| x - 2 \| - 4 < 16$
196363	Factor	(4x^2-16)	$(4 x^{2} - 16)$
196364	Graph	y>=\|x\|-4	$y \geq \| x \| - 4$
196365	Solve for x	3(x-4)-2(3x+4)=4(3-x)+5x+4	$3 (x - 4) - 2 (3 x + 4) = 4 (3 - x) + 5 x + 4$
196366	Graph	{x:-2<=x<=6}	${x : - 2 \leq x \leq 6}$
196367	Simplify	((4^5)(4^-2))/(4^-7)	$\frac{(4^{5}) (4^{- 2})}{4^{- 7}}$
196368	Solve the Inequality for x	-9>-4-4/5(-3/2x+1)	$- 9 > - 4 - \frac{4}{5} (- \frac{3}{2} x + 1)$
196369	Find the Quotient	(2x^2-7x+2)/(x-4)	$\frac{2 x^{2} - 7 x + 2}{x - 4}$
196370	Graph	m(x)=x^3	$m (x) = x^{3}$
196371	Graph	f''''(x)<0	$f'' (x) < 0$
196372	Evaluate	(pi/2)÷pi	$\frac{π}{2} \div π$
196373	Simplify	(2/(5t)-3/(3t))/(1/(2t)+1/(2t))	$\frac{\frac{2}{5 t} - \frac{3}{3 t}}{\frac{1}{2 t} + \frac{1}{2 t}}$
196374	Simplify	(4x^4x^3)/(8x)	$\frac{4 x^{4} x^{3}}{8 x}$
196375	Find the Inverse	x=2\|y\|+1	$x = 2 \| y \| + 1$
196376	Simplify	cube root of x^4+ cube root of 8x	$\sqrt[3]{x^{4}} + \sqrt[3]{8 x}$
196377	Graph	y>=2x+4 y<=2x-2	$y \geq 2 x + 4$ $y \leq 2 x - 2$
196378	Find the Inverse	f(x)=-5+1/2x	$f (x) = - 5 + \frac{1}{2} x$
196379	Simplify	(1-(sin(theta)-cos(theta))(sin(theta)-cos(theta)))/(sin(theta)cos(theta))	$\frac{1 - (\sin (θ) - \cos (θ)) (\sin (θ) - \cos (θ))}{\sin (θ) \cos (θ)}$
196380	Solve for x	log base 6 of 3x^2-3- log base 6 of 4x+4=0	$\log_{6} (3 x^{2} - 3) - \log_{6} (4 x + 4) = 0$
196381	Solve for x	x^2+(-8/17)^2=1	$x^{2} + {(- \frac{8}{17})}^{2} = 1$
196382	Graph	f(x)=-3 log base 2 of -x-7+4	$f (x) = - 3 \log_{2} (- x - 7) + 4$
196383	Solve for m	1/2m-3/4*8=16	$\frac{1}{2} m - \frac{3}{4} \cdot 8 = 16$
196384	Simplify	(s^4tu^2)(s^7t^-1)	$(s^{4} t u^{2}) (s^{7} t^{- 1})$
196385	Find the Distance Between Two Points	(0,0) and (9,-12)	$(0, 0)$ and $(9, - 12)$
196386	Graph	2<x/-5	$2 < \frac{x}{- 5}$
196387	Simplify	((x^2y^(2/3)x^-4)/(x^-1z^-2))^3	${(\frac{x^{2} y^{\frac{2}{3}} x^{- 4}}{x^{- 1} z^{- 2}})}^{3}$
196388	Simplify	( square root of 7-5)/( square root of 7+ square root of 8)	$\frac{\sqrt{7} - 5}{\sqrt{7} + \sqrt{8}}$
196389	Solve the Inequality for x	-2(8-3x)>=6x+2	$- 2 (8 - 3 x) \geq 6 x + 2$
196390	Graph	x+y<=6 x<=4	$x + y \leq 6$ $x \leq 4$
196391	Find the Distance Between Two Points	(6,4) and (1,8)	$(6, 4)$ and $(1, 8)$
196392	Graph	(x)=x^2	$(x) = x^{2}$
196393	Divide	1/(2/4)	$\frac{1}{\frac{2}{4}}$
196394	Evaluate	1/(1-3)	$\frac{1}{1 - 3}$
196395	Find f(g(x))	f(x)=2x-3 g(x)=(x+3)/2	$f (x) = 2 x - 3$ $g (x) = \frac{x + 3}{2}$
196396	Simplify	(4-(3c-1))(6-(3c-1))	$(4 - (3 c - 1)) (6 - (3 c - 1))$
196397	Find the Domain and Range	r(x)=(x^2+6x-16)/((x+1)(x-3)(x+8))	$r (x) = \frac{x^{2} + 6 x - 16}{(x + 1) (x - 3) (x + 8)}$
196398	Simplify	(2a^3b^4c^3)^2*(4a^2bc^3)	${(2 a^{3} b^{4} c^{3})}^{2} \cdot (4 a^{2} b c^{3})$
196399	Solve the Inequality for x	3/2x-7>=-3(-3x-5)-7	$\frac{3}{2} x - 7 \geq - 3 (- 3 x - 5) - 7$
196400	Solve for x	2^5=3x+8	$2^{5} = 3 x + 8$