Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
197301	Evaluate	(2(1/2)^2)/((1/2)^2-1)	$\frac{2 {(\frac{1}{2})}^{2}}{{(\frac{1}{2})}^{2} - 1}$
197302	Solve for x	(2x)/(3x-10)=(x-8)/(x-5)	$\frac{2 x}{3 x - 10} = \frac{x - 8}{x - 5}$
197303	Solve for k	\|2k+6\|=\|k\|	$\| 2 k + 6 \| = \| k \|$
197304	Solve for x	6/x-2/(x+3)=(3(x+5))/(x^2+3x)	$\frac{6}{x} - \frac{2}{x + 3} = \frac{3 (x + 5)}{x^{2} + 3 x}$
197305	Find f(g(x))	f(x)=2x^2+x-3 and g(x)=x-1	$f (x) = 2 x^{2} + x - 3$ and $g (x) = x - 1$
197306	Evaluate	sixth root of 64(x^2-3)^18	$\sqrt[6]{64 {(x^{2} - 3)}^{18}}$
197307	Graph	y = square root of -x-1-2	$y = \sqrt{- x - 1} - 2$
197308	Graph	f(x)=x^4+x^3-10x^2+10	$f (x) = x^{4} + x^{3} - 10 x^{2} + 10$
197309	Find All Complex Solutions	square root of 3sin(x)sec(x)=2sin(x)	$\sqrt{3} \sin (x) \sec (x) = 2 \sin (x)$
197310	Simplify	-(8a-6b-c)+(2a+8b+c)	$- (8 a - 6 b - c) + (2 a + 8 b + c)$
197311	Convert to Interval Notation	x<=-45 or x>86	$x \leq - 45$ or $x > 86$
197312	Solve for x	(x-6)/x+(x-5)/(x+7)=(2x-12)/x	$\frac{x - 6}{x} + \frac{x - 5}{x + 7} = \frac{2 x - 12}{x}$
197313	Simplify	(x+2)/(3(x+1))*(9(x-1))/(x+2)	$\frac{x + 2}{3 (x + 1)} \cdot \frac{9 (x - 1)}{x + 2}$
197314	Solve for E	E=sin(30 degrees )^2+tan(37 degrees )	$E = \sin^{2} (30 °) + \tan (37 °)$
197315	Solve the Inequality for x	1+3x>=4/5x-5(x+1)	$1 + 3 x \geq \frac{4}{5} x - 5 (x + 1)$
197316	Solve for x	5/6x-2/3x=-3/8	$\frac{5}{6} x - \frac{2}{3} x = - \frac{3}{8}$
197317	Evaluate	(2pi)/(x/2)	$\frac{2 π}{\frac{x}{2}}$
197318	Graph	5pi	$5 π$
197319	Simplify	(-2+- square root of 2^2-41-3)/(2(1))	$\frac{- 2 + - \sqrt{2^{2} - 4 \cdot 1 \cdot - 3}}{2 (1)}$
197320	Solve for C	s^3=(km^2C)/(AJ)	$s^{3} = \frac{{km}^{2} C}{A J}$
197321	Solve for x	2x^2-3x=2x-2	$2 x^{2} - 3 x = 2 x - 2$
197322	Solve for x	2x-1>=0	$2 x - 1 \geq 0$
197323	Find the Distance Between Two Points	(4,3) and (0,6)	$(4, 3)$ and $(0, 6)$
197324	Solve for h	10-h=-4+h	$10 - h = - 4 + h$
197325	Simplify	(6mn^4+3m^5p)^2	${(6 m n^{4} + 3 m^{5} p)}^{2}$
197326	Simplify	((170+50x)/x)÷((120+30x)/x)	$\frac{170 + 50 x}{x} \div \frac{120 + 30 x}{x}$
197327	Write in Standard Form	x^2-9=0	$x^{2} - 9 = 0$
197328	Divide	(5ab-10b^2+15bc)÷5b	$(5 a b - 10 b^{2} + 15 b c) \div 5 b$
197329	Graph	r=5sec(theta)	$r = 5 \sec (θ)$
197330	Solve for x	8-\|2x-1\|>=6	$8 - \| 2 x - 1 \| \geq 6$
197331	Solve for x	-2(4-3x)-6x=10	$- 2 (4 - 3 x) - 6 x = 10$
197332	Simplify	- square root of 5q^3*3 square root of 35	$- \sqrt{5 q^{3}} \cdot 3 \sqrt{35}$
197333	Describe the Transformation	f(x)=1/(x^2)	$f (x) = \frac{1}{x^{2}}$
197334	Solve for x	2x+3(x-2)=6(x-1)-x	$2 x + 3 (x - 2) = 6 (x - 1) - x$
197335	Solve for x	1/3 log base 2 of x+5=7	$\frac{1}{3} \log_{2} (x) + 5 = 7$
197336	Evaluate	g^-1(x)	$g^{- 1} (x)$
197337	Graph	(x-7)(x-1)<=0	$(x - 7) (x - 1) \leq 0$
197338	Describe the Transformation	F(x) = square root of x-6	$F (x) = \sqrt{x - 6}$
197339	Solve for x	3x+2+x=x+5	$3 x + 2 + x = x + 5$
197340	Simplify	cube root of 4x^2y* cube root of 16xy^2	$\sqrt[3]{4 x^{2} y} \cdot \sqrt[3]{16 x y^{2}}$
197341	Complete the Square	x^2-4x+4=2x	$x^{2} - 4 x + 4 = 2 x$
197342	Multiply	(v-2)/(v^2+2v-3)*(v^2+2v-3)/(v-4)	$\frac{v - 2}{v^{2} + 2 v - 3} \cdot \frac{v^{2} + 2 v - 3}{v - 4}$
197343	Solve for y	y = square root of 5y+6	$y = \sqrt{5 y + 6}$
197344	Find f(g(x))	f(x) = square root of x and g(x)=x+2	$f (x) = \sqrt{x}$ and $g (x) = x + 2$
197345	Solve the Inequality for x	x^4-10x^2+9>=0	$x^{4} - 10 x^{2} + 9 \geq 0$
197346	Solve by Substitution	x=7-2y 2x+y=5	$x = 7 - 2 y$ $2 x + y = 5$
197347	Simplify	((x^2-x-6)/(x^2-9))÷((3x+6)/(x+3))	$\frac{x^{2} - x - 6}{x^{2} - 9} \div \frac{3 x + 6}{x + 3}$
197348	Solve the Inequality for x	28<4(5-2x)	$28 < 4 (5 - 2 x)$
197349	Solve the Inequality for x	log base 2 of x<=4	$\log_{2} (x) \leq 4$
197350	Solve for x	1/2(x+8)+3/2x=10	$\frac{1}{2} (x + 8) + \frac{3}{2} x = 10$
197351	Factor	x^(6a)-y^(4b)	$x^{6 a} - y^{4 b}$
197352	Graph	y=x^2+bx+c	$y = x^{2} + b x + c$
197353	Combine Like Terms	5+(-3)(6x-5)	$5 + (- 3) (6 x - 5)$
197354	Find the Equation Using Two Points	f(-4)=2 and f(6)=-3	$f (- 4) = 2$ and $f (6) = - 3$
197355	Solve the Inequality for x	-4-x<-8+6(2x-5/6)	$- 4 - x < - 8 + 6 (2 x - \frac{5}{6})$
197356	Simplify	3i(4-5i)-1	$3 i (4 - 5 i) - 1$
197357	Solve for x	3(5x+2)=15x	$3 (5 x + 2) = 15 x$
197358	Solve for d	g=R/(p(d+a))	$g = \frac{R}{p (d + a)}$
197359	Solve for x	square root of 3x-1=-4	$\sqrt{3 x} - 1 = - 4$
197360	Graph	f(x,y) = square root of xy	$f (x, y) = \sqrt{x y}$
197361	Factor	x^2y+xy	$x^{2} y + x y$
197362	Graph	y=(sin(x))/(1+cos(x))	$y = \frac{\sin (x)}{1 + \cos (x)}$
197363	Find the Point-Slope Form	y=-2/3x+6	$y = - \frac{2}{3} x + 6$
197364	Divide	((5m^2)/(7n^3))÷((10m^4)/(14an^4))	$\frac{5 m^{2}}{7 n^{3}} \div \frac{10 m^{4}}{14 a n^{4}}$
197365	Solve the Inequality for x	6^(x+4)<=6^(2x-1)	$6^{x + 4} \leq 6^{2 x - 1}$
197366	Evaluate	(12/3)÷(8/5)+10-5/7+8 2/4	$\frac{12}{3} \div \frac{8}{5} + 10 - \frac{5}{7} + 8 \frac{2}{4}$
197367	Solve the Inequality for r	a=pir^2	$a = π r^{2}$
197368	Evaluate	2^(1+2x)=32	$2^{1 + 2 x} = 32$
197369	Expand the Logarithmic Expression	log base 7 of 7mn^4	$\log_{7} (7 m n^{4})$
197370	Graph	y=cos(x+45 degrees )	$y = \cos (x + 45 °)$
197371	Solve for x	2/(x-6)=x/(x+10)	$\frac{2}{x - 6} = \frac{x}{x + 10}$
197372	Simplify	4 square root of 2x*5 square root of 6xy^2	$4 \sqrt{2 x} \cdot 5 \sqrt{6 x y^{2}}$
197373	Simplify	(4+5x+6x^2)+(7+8x+9x^2)	$(4 + 5 x + 6 x^{2}) + (7 + 8 x + 9 x^{2})$
197374	Solve for x	ax-b^3=a^3-bx	$a x - b^{3} = a^{3} - b x$
197375	Evaluate	4pi6^2	$4 \cdot π \cdot 6^{2}$
197376	Simplify	(6x^2)/(7x)*2/(3x^3)	$\frac{6 x^{2}}{7 x} \cdot \frac{2}{3 x^{3}}$
197377	Subtract	-1/6-2/3	$- \frac{1}{6} - \frac{2}{3}$
197378	Combine Like Terms	(-x^2+2x)-(x^2-2x)	$(- x^{2} + 2 x) - (x^{2} - 2 x)$
197379	Find All Complex Solutions	square root of 3tan(2x)+1=0	$\sqrt{3} \tan (2 x) + 1 = 0$
197380	Solve for a	(a+4)/b=(a-4)/b+(b+4)/a	$\frac{a + 4}{b} = \frac{a - 4}{b} + \frac{b + 4}{a}$
197381	Solve for x	(2x+5)/(x+1)+5/(x-1)=(3x+2)/(x-1)	$\frac{2 x + 5}{x + 1} + \frac{5}{x - 1} = \frac{3 x + 2}{x - 1}$
197382	Evaluate	\|-6\|+60÷60*2^2	$\| - 6 \| + 60 \div 60 \cdot 2^{2}$
197383	Simplify	(x/y-1)/(1-(x^2)/(y^2))	$\frac{\frac{x}{y} - 1}{1 - \frac{x^{2}}{y^{2}}}$
197384	Simplify	(48-3n^2)/(n^2+n-20)	$\frac{48 - 3 n^{2}}{n^{2} + n - 20}$
197385	Simplify	-3x(4x-5xy+8y)	$- 3 x (4 x - 5 x y + 8 y)$
197386	Solve for x	(1/32768)^(x-8)=(1/262144)^(-3x-15)	${(\frac{1}{32768})}^{x - 8} = {(\frac{1}{262144})}^{- 3 x - 15}$
197387	Simplify	square root of 32 square root of 25 square root of 8* square root of 18	$\sqrt{3} \cdot 2 \sqrt{2} \cdot 5 \sqrt{8} \cdot \sqrt{18}$
197388	Solve for m	x^3y^2((x^2y^3*z^m)/(z^-5))=x^5y^5z	$x^{3} \cdot y^{2} (\frac{x^{2} \cdot y^{3} \cdot z^{m}}{z^{- 5}}) = x^{5} y^{5} z$
197389	Solve for a	1/4(a+2)=1/6(5-a)	$\frac{1}{4} (a + 2) = \frac{1}{6} (5 - a)$
197390	Graph	g(x)=-1/2f(x)	$g (x) = - \frac{1}{2} f (x)$
197391	Solve for b	a=(ab)/2	$a = \frac{a b}{2}$
197392	Solve for w	w+33/8=15/6	$w + \frac{33}{8} = \frac{15}{6}$
197393	Find g(f(x))	f(x)=x+2 and g(x)=x-2	$f (x) = x + 2$ and $g (x) = x - 2$
197394	Graph Using a Table of Values	3^(-x)	$3^{- x}$
197395	Solve the Inequality for x	5<2-3x<8	$5 < 2 - 3 x < 8$
197396	Find the First Term	n^2	$n^{2}$
197397	Simplify	37/(6+i)	$\frac{37}{6 + i}$
197398	Solve for y	x(4-2y)=3y-1	$x (4 - 2 y) = 3 y - 1$
197399	Factor by Grouping	x-x^2+x^3-x^4	$x - x^{2} + x^{3} - x^{4}$
197400	Graph	y=(2+x)/(1-x)	$y = \frac{2 + x}{1 - x}$