Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
222401	Find the Domain and Range	f(x)=1/2* log base 1/4 of x	$f (x) = \frac{1}{2} \cdot \log_{\frac{1}{4}} (x)$
222402	Solve the Inequality for x	(-x)/(x-6)<=1/(x-2)	$\frac{- x}{x - 6} \leq \frac{1}{x - 2}$
222403	Solve for x	(4x-3)/5-(4-2x)/3=1	$\frac{4 x - 3}{5} - \frac{4 - 2 x}{3} = 1$
222404	Evaluate	-2/3-5/6	$\frac{- 2}{3} - \frac{5}{6}$
222405	Solve the System of Inequalities	8m+5>=5 and -4m+6<=-10	$8 m + 5 \geq 5$ and $- 4 m + 6 \leq - 10$
222406	Find the Excluded Values	(x^2+14x+33)/(4x)(x^2-3x)/(x+3)(8x-56)/(x^2+4x-77)	$\frac{x^{2} + 14 x + 33}{4 x} \cdot \frac{x^{2} - 3 x}{x + 3} \cdot \frac{8 x - 56}{x^{2} + 4 x - 77}$
222407	Describe the Transformation	f(x)=x^5 g(x)=4f(x-3)	$f (x) = x^{5}$ $g (x) = 4 f (x - 3)$
222408	Find the Product	-4(3/4e+2)=7+1/2e-8	$- 4 (\frac{3}{4} e + 2) = 7 + \frac{1}{2} e - 8$
222409	Find the End Behavior	y=-5x	$y = - 5 x$
222410	Solve the Inequality for m	m/2<4	$\frac{m}{2} < 4$
222411	Evaluate	(-3/7)÷(1/2)	$- \frac{3}{7} \div \frac{1}{2}$
222412	Graph	f-6<5 and f-4>=2	$f - 6 < 5$ and $f - 4 \geq 2$
222413	Solve by Addition/Elimination	y=6x-1 y=6x+1	$y = 6 x - 1$ $y = 6 x + 1$
222414	Simplify	4(1/2+5/4)+-5	$4 (\frac{1}{2} + \frac{5}{4}) + - 5$
222415	Combine Like Terms	7x^3+2x-5x^2+6+x+9+3x^3+12x^2	$7 x^{3} + 2 x - 5 x^{2} + 6 + x + 9 + 3 x^{3} + 12 x^{2}$
222416	Simplify	(x+y+1)(x-y-1)	$(x + y + 1) (x - y - 1)$
222417	Solve for r	r-s-10=P	$r - s - 10 = P$
222418	Solve for x	1-(2x+3)/(x+9)=2/(x^2+6x-27)	$1 - \frac{2 x + 3}{x + 9} = \frac{2}{x^{2} + 6 x - 27}$
222419	Divide	(2ab-a)÷(4b^2-4b+1)	$(2 a b - a) \div (4 b^{2} - 4 b + 1)$
222420	Simplify	(m/4-1/m)/(1/(3m)+1/6)	$\frac{\frac{m}{4} - \frac{1}{m}}{\frac{1}{3 m} + \frac{1}{6}}$
222421	Simplify	cube root of fourth root of x^36	$\sqrt[3]{\sqrt[4]{x^{36}}}$
222422	Simplify the Radical Expression	5 cube root of a*4 square root of a^3	$5 \sqrt[3]{a} \cdot 4 \sqrt{a^{3}}$
222423	Evaluate	1/2*180/pi	$\frac{1}{2} \cdot \frac{180}{π}$
222424	Evaluate	y(0.5+8)	$y (0.5 + 8)$
222425	Solve for x	4(x^2-x)=x^2-2	$4 (x^{2} - x) = x^{2} - 2$
222426	Evaluate Using the Given Value	x^2+4x+1 when x=-3	$x^{2} + 4 x + 1$ when $x = - 3$
222427	Write in Standard Form	3x^3-x+5x^4	$3 x^{3} - x + 5 x^{4}$
222428	Graph	-1/4(d+1)<2	$- \frac{1}{4} (d + 1) < 2$
222429	Solve the Inequality for y	6y+10>8-(y+14)	$6 y + 10 > 8 - (y + 14)$
222430	Solve for x	-sin(x)=cos(x)	$- \sin (x) = \cos (x)$
222431	Solve for x	(10x+3)/12=1+(6+8x)/9	$\frac{10 x + 3}{12} = 1 + \frac{6 + 8 x}{9}$
222432	Simplify	(6x)/(x^2+4x+4)+3/(x+2)	$\frac{6 x}{x^{2} + 4 x + 4} + \frac{3}{x + 2}$
222433	Solve the Inequality for n	30>1/2n	$30 > \frac{1}{2} n$
222434	Simplify	Simplify square root of -4	Simplify $\sqrt{- 4}$
222435	Solve the Inequality for x	log base 2 of x>3	$\log_{2} (x) > 3$
222436	Find the Exact Value	1-( square root of 3)/2	$1 - \frac{\sqrt{3}}{2}$
222437	Simplify the Radical Expression	9(27)^(1/3)	$9 {(27)}^{\frac{1}{3}}$
222438	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-5,7) and has a slope of -1/5 ?	What is the equation of the line that passes through the point $(- 5, 7)$ and has a slope of $- \frac{1}{5}$ ?
222439	Simplify	square root of 3( square root of 12- square root of 3)	$\sqrt{3} (\sqrt{12} - \sqrt{3})$
222440	Find the Exact Value	10/3+2/7-1/2	$\frac{10}{3} + \frac{2}{7} - \frac{1}{2}$
222441	Simplify the Radical Expression	( cube root of 9)/( cube root of 4)	$\frac{\sqrt[3]{9}}{\sqrt[3]{4}}$
222442	Simplify	(1/x-f(a))/(x-a)	$\frac{\frac{1}{x} - f (a)}{x - a}$
222443	Find the Inverse	f(x)=\|2x-1\|	$f (x) = \| 2 x - 1 \|$
222444	Find the Domain of the Quotient of the Two Functions	f(x)=2x^2+x-3 and g(x)=x-1	$f (x) = 2 x^{2} + x - 3$ and $g (x) = x - 1$
222445	Simplify	fourth root of 256*81	$\sqrt[4]{256 \cdot 81}$
222446	Simplify	3/(12y)+9/24	$\frac{3}{12 y} + \frac{9}{24}$
222447	Solve for x	(0.500)^(x/4.50)=0.100	${(0.5)}^{\frac{x}{4.5}} = 0.1$
222448	Evaluate	(x+3)/(x-3)<0	$\frac{x + 3}{x - 3} < 0$
222449	Evaluate	(1/2)^x	${(\frac{1}{2})}^{x}$
222450	Simplify	(6m^2n^-1)^3	${(6 m^{2} n^{- 1})}^{3}$
222451	Evaluate	(5^3-(6+4)^2)/(5^1)	$\frac{5^{3} - {(6 + 4)}^{2}}{5^{1}}$
222452	Solve for a	a+1/3=4 3/4	$a + \frac{1}{3} = 4 \frac{3}{4}$
222453	Solve for x	log of x-5- log of 1-x=1/3	$\log (x - 5) - \log (1 - x) = \frac{1}{3}$
222454	Solve for y	(-3,-4) and (-5,y) , m=-9/2	$(- 3, - 4)$ and $(- 5, y)$ , $m = - \frac{9}{2}$
222455	Simplify	(8x^7y^2)(2x^-1y^-6)^3	$(8 x^{7} y^{2}) {(2 x^{- 1} y^{- 6})}^{3}$
222456	Solve for t	t = square root of h/16	$t = \sqrt{\frac{h}{16}}$
222457	Evaluate the Function	f(1)=(1/2)^1	$f (1) = {(\frac{1}{2})}^{1}$
222458	Simplify	(x^6y^4)^(1/8)+2(x^(1/3)y^(1/4))^2	${(x^{6} y^{4})}^{\frac{1}{8}} + 2 {(x^{\frac{1}{3}} y^{\frac{1}{4}})}^{2}$
222459	Simplify	(x^3y^2z)^3(3xy^2z^3)^2(-3x)^2	${(x^{3} y^{2} z)}^{3} {(3 x y^{2} z^{3})}^{2} {(- 3 x)}^{2}$
222460	Divide	(6 square root of 3)/2	$\frac{6 \sqrt{3}}{2}$
222461	Solve for x	3x-4+3x-17+69=180	$3 x - 4 + 3 x - 17 + 69 = 180$
222462	Solve for u	1-(2u-3)/4=(2-5u)/3-3u	$1 - \frac{2 u - 3}{4} = \frac{2 - 5 u}{3} - 3 u$
222463	Graph	y=-7x^3+8x^2+x	$y = - 7 x^{3} + 8 x^{2} + x$
222464	Solve for y	-4(8+y)=90	$- 4 (8 + y) = 90$
222465	Simplify	6 square root of 4x^2*2 square root of 9x^2y^2	$6 \sqrt{4 x^{2}} \cdot 2 \sqrt{9 x^{2} y^{2}}$
222466	Solve for x	natural log of x- natural log of 4x-1 = natural log of 5	$\ln (x) - \ln (4 x - 1) = \ln (5)$
222467	Solve the System of Inequalities	y<2x+5 4y>-4x-8	$y < 2 x + 5$ $4 y > - 4 x - 8$
222468	Graph	x+y>=2 and y<=2	$x + y \geq 2$ and $y \leq 2$
222469	Find the Discriminant	-7n^2+16n=8n	$- 7 n^{2} + 16 n = 8 n$
222470	Solve for C	C=(5F-160)/9	$C = \frac{5 F - 160}{9}$
222471	Find the End Behavior	P(x)=-2x^7-5x^4+2x^2-3	$P (x) = - 2 x^{7} - 5 x^{4} + 2 x^{2} - 3$
222472	Simplify	(8 square root of 24)÷16 square root of 6	$8 \sqrt{24} \div 16 \sqrt{6}$
222473	Solve for x	(7x)/12-4=3+(3x)/4	$\frac{7 x}{12} - 4 = 3 + \frac{3 x}{4}$
222474	Solve the Rational Equation for h	square root of 3h=3	$\sqrt{3 h} = 3$
222475	Solve the Inequality for b	square root of b-7+6<=12	$\sqrt{b - 7} + 6 \leq 12$
222476	Solve the Inequality for x	(x-3)/(x+4)>3	$\frac{x - 3}{x + 4} > 3$
222477	Find the Function	f(x)=(3x+2)^4	$f (x) = {(3 x + 2)}^{4}$
222478	Solve for c	a=-bc+d	$a = - b c + d$
222479	Rationalize the Denominator	-5/(4+ square root of 6)	$\frac{- 5}{4 + \sqrt{6}}$
222480	Find the Product	(2x^2+5x)(3x-2)	$(2 x^{2} + 5 x) (3 x - 2)$
222481	Simplify	9 square root of 4+12 cube root of 8-6 fifth root of 32	$9 \sqrt{4} + 12 \sqrt[3]{8} - 6 \sqrt[5]{32}$
222482	Find the x and y Intercepts	(4x)/(x^3+2x^2-3x)	$\frac{4 x}{x^{3} + 2 x^{2} - 3 x}$
222483	Evaluate	4(x+6)-x=6(x-111)-2x+305	$4 (x + 6) - x = 6 (x - 111) - 2 x + 305$
222484	Simplify	2(x^(1/3))^(6/5)*y^(2/3)	$2 {(x^{\frac{1}{3}})}^{\frac{6}{5}} \cdot y^{\frac{2}{3}}$
222485	Solve the Inequality for a	\|-8a-3\|>11	$\| - 8 a - 3 \| > 11$
222486	Simplify	x/(x^2+x)*(x+1)/3	$\frac{x}{x^{2} + x} \cdot \frac{x + 1}{3}$
222487	Solve the Inequality for x	0<2x-5<9	$0 < 2 x - 5 < 9$
222488	Evaluate	cot(-(5pi)/3)	$\cot (- \frac{5 π}{3})$
222489	Solve the Inequality for x	1/2x-3<=-3	$\frac{1}{2} x - 3 \leq - 3$
222490	Evaluate the Function	f(x)=x^4+6x^2-7x+1 for x=3	$f (x) = x^{4} + 6 x^{2} - 7 x + 1$ for $x = 3$
222491	Simplify	((x-5)/(2x-5))/((x-5)/(2x-5)-(x+2)/(x-5))	$\frac{\frac{x - 5}{2 x - 5}}{\frac{x - 5}{2 x - 5} - \frac{x + 2}{x - 5}}$
222492	Simplify the Radical Expression	( square root of 270x^5)/( square root of 10)	$\frac{\sqrt{270 x^{5}}}{\sqrt{10}}$
222493	Solve the Rational Equation for x	(x+2)/(x^2-25)+1=(8x)/(2x-10)	$\frac{x + 2}{x^{2} - 25} + 1 = \frac{8 x}{2 x - 10}$
222494	Solve for x	1/(3x)=3x	$\frac{1}{3 x} = 3 x$
222495	Evaluate	4/9+(-6/9)	$\frac{4}{9} + (- \frac{6}{9})$
222496	Solve for w	-5(5w-19)=-19w-19	$- 5 (5 w - 19) = - 19 w - 19$
222497	Find the Domain and Range	y=cos(1/2theta)	$y = \cos (\frac{1}{2} θ)$
222498	Graph	y=5/3sin(-(2pi)/3x)	$y = \frac{5}{3} \sin (- \frac{2 π}{3} x)$
222499	Factor	ax^3+bx^3-8a-8b	$a x^{3} + b x^{3} - 8 a - 8 b$
222500	Simplify	((x+y)^-2(x+y)^4)/((x+y)^3)	$\frac{{(x + y)}^{- 2} {(x + y)}^{4}}{{(x + y)}^{3}}$