Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
184301	Simplify	((10ab)/(c^3d))÷((15ab^3)/(7c^3d^4))	$\frac{10 a b}{c^{3} d} \div \frac{15 a b^{3}}{7 c^{3} d^{4}}$
184302	Find the Function	f(x)=2x^2+5	$f (x) = 2 x^{2} + 5$
184303	Solve the System of Inequalities	y>2x-1 2x>5	$y > 2 x - 1$ $2 x > 5$
184304	Solve for c	(c^3+4)/11=20	$\frac{c^{3} + 4}{11} = 20$
184305	Graph	(x^2+1)/(x^2+2)	$\frac{x^{2} + 1}{x^{2} + 2}$
184306	Simplify	(3n^2+2n^4)(4-5n^2)	$(3 n^{2} + 2 n^{4}) (4 - 5 n^{2})$
184307	Divide	1 1/4÷1 2/5	$1 \frac{1}{4} \div 1 \frac{2}{5}$
184308	Solve the System of Equations	y-15=3x -2x+5y=-3	$y - 15 = 3 x$ $- 2 x + 5 y = - 3$
184309	Simplify	3x^2y-4x+x^2y+2x+y	$3 x^{2} y - 4 x + x^{2} y + 2 x + y$
184310	Find the Exact Value	f^-1(8)	$f^{- 1} (8)$
184311	Solve for x	3(x+1)^2=27	$3 {(x + 1)}^{2} = 27$
184312	Solve for m	1-6mn=11-4mn	$1 - 6 m n = 11 - 4 m n$
184313	Solve for x	64^(2x-11)=(1/16)^(-x+11)	$64^{2 x - 11} = {(\frac{1}{16})}^{- x + 11}$
184314	Solve for x	b/(a-x)=c	$\frac{b}{a - x} = c$
184315	Simplify	(2/(x^2)-1/x)/(2/(x^2)-1/2)	$\frac{\frac{2}{x^{2}} - \frac{1}{x}}{\frac{2}{x^{2}} - \frac{1}{2}}$
184316	Solve the System of Equations	x-2y+3z=7 2x+y+z=4 -3x+2y-2z=-10	$x - 2 y + 3 z = 7$ $2 x + y + z = 4$ $- 3 x + 2 y - 2 z = - 10$
184317	Simplify	x/(x-5)*(2x)/(x+4)	$\frac{x}{x - 5} \cdot \frac{2 x}{x + 4}$
184318	Multiply	(x/2)^2	${(\frac{x}{2})}^{2}$
184319	Solve the System of Equations	x+Y=4 x+Y=2	$x + Y = 4$ $x + Y = 2$
184320	Find the Midpoint	(6,4) and (9,1)	$(6, 4)$ and $(9, 1)$
184321	Find f(g(x))	f(x)=x+2 and g(x)=x-2	$f (x) = x + 2$ and $g (x) = x - 2$
184322	Find h(f(x))	f(x)=(3x-5)^3 h(x)=2 cube root of x+8	$f (x) = {(3 x - 5)}^{3}$ $h (x) = 2 \sqrt[3]{x} + 8$
184323	Simplify	f(x)=x cube root of x^2x^5 sixth root of x square root of x	$f (x) = x \sqrt[3]{x^{2} \cdot x^{5} \cdot \sqrt[6]{x \sqrt{x}}}$
184324	Solve the Inequality for x	square root of 2x+4<4	$\sqrt{2 x + 4} < 4$
184325	Simplify	(2x^5+2x^4-4x^3)/(6x^3-48x^2+42x)*((x-7)^2)/(x+2)	$\frac{2 x^{5} + 2 x^{4} - 4 x^{3}}{6 x^{3} - 48 x^{2} + 42 x} \cdot \frac{{(x - 7)}^{2}}{x + 2}$
184326	Solve for x	(x+3)/4+(5(7x+9))/3=(3(4x+3))/12-7/2	$\frac{x + 3}{4} + \frac{5 \cdot (7 x + 9)}{3} = \frac{3 \cdot (4 x + 3)}{12} - \frac{7}{2}$
184327	Solve the Inequality for x	6-4(6x+7)>=122	$6 - 4 (6 x + 7) \geq 122$
184328	Solve for x	(3x)/2+1/4+2=(3x)/4-x/3	$\frac{3 x}{2} + \frac{1}{4} + 2 = \frac{3 x}{4} - \frac{x}{3}$
184329	Solve the System of Inequalities	7x-9<12 or 1/4x+8>11	$7 x - 9 < 12$ or $\frac{1}{4} x + 8 > 11$
184330	Simplify	(-1-2i)/(i-2)	$\frac{- 1 - 2 i}{i - 2}$
184331	Simplify	(10+ square root of -200)(4+ square root of -200)	$(10 + \sqrt{- 200}) (4 + \sqrt{- 200})$
184332	Graph	S(x)=1/2x^6-2x^4	$S (x) = \frac{1}{2} x^{6} - 2 x^{4}$
184333	Solve for a	(x^(4/3))^(6/5)=x^a	${(x^{\frac{4}{3}})}^{\frac{6}{5}} = x^{a}$
184334	Solve for x	100^((3-4x)/(2x+1))<=0.01^((5x-8)/(2x+1))	$100^{\frac{3 - 4 x}{2 x + 1}} \leq {0.01}^{\frac{5 x - 8}{2 x + 1}}$
184335	Find the Roots (Zeros)	h(t)=(t-8)^1(t-4)^2(t-2)^3(t-1)^4	$h (t) = {(t - 8)}^{1} {(t - 4)}^{2} {(t - 2)}^{3} {(t - 1)}^{4}$
184336	Simplify	(5-80x^2)/10	$\frac{5 - 80 x^{2}}{10}$
184337	Find q(p(x))	p(x)=x^2+9 q(x) = square root of x+8	$p (x) = x^{2} + 9$ $q (x) = \sqrt{x + 8}$
184338	Solve the Inequality for x	x^3-9x>0	$x^{3} - 9 x > 0$
184339	Solve the Inequality for k	k/-0.25<=36	$\frac{k}{- 0.25} \leq 36$
184340	Graph Using a Table of Values	f(x)=15(6/5)^x	$f (x) = 15 {(\frac{6}{5})}^{x}$
184341	Solve for x	4\|x+3\|+3>=31	$4 \| x + 3 \| + 3 \geq 31$
184342	Solve for x	x^2=6-x	$x^{2} = 6 - x$
184343	Find a,b,c	3x+5=0	$3 x + 5 = 0$
184344	Solve for x	(5x)/6-7/4+(2x)/3=2x-5/12+x/3	$\frac{5 x}{6} - \frac{7}{4} + \frac{2 x}{3} = 2 x - \frac{5}{12} + \frac{x}{3}$
184345	Find the Focus	-x^2+4y^2-16y+12=0	$- x^{2} + 4 y^{2} - 16 y + 12 = 0$
184346	Solve Using the Quadratic Formula	-5x^2=-25	$- 5 x^{2} = - 25$
184347	Simplify	(1/4)^1	${(\frac{1}{4})}^{1}$
184348	Solve for n	-2(n+3)=13	$- 2 (n + 3) = 13$
184349	Simplify	3b+5b^2-3b-4b^2	$3 b + 5 b^{2} - 3 b - 4 b^{2}$
184350	Simplify	a-(b+a)+(-a+b)-(-a+2b)	$a - (b + a) + (- a + b) - (- a + 2 b)$
184351	Factor by Grouping	a^4-b^4	$a^{4} - b^{4}$
184352	Graph	f(x)=f(x+2)	$f (x) = f (x + 2)$
184353	Rationalize the Denominator	2/(3+ square root of 19)	$\frac{2}{3 + \sqrt{19}}$
184354	Convert to Scientific Notation	(7.0610^5)÷5.310^-2	$7.06 \times 10^{5} \div 5.3 \times 10^{- 2}$
184355	Evaluate	-2(3/2)^2	$- 2 {(\frac{3}{2})}^{2}$
184356	Solve the System of Inequalities	x+7>=1 or 16<x+7	$x + 7 \geq 1$ or $16 < x + 7$
184357	Simplify	2/( cube root of 2)	$\frac{2}{\sqrt[3]{2}}$
184358	Find the x and y Intercepts	(x^2-25)/(2x^2-17x+35)	$\frac{x^{2} - 25}{2 x^{2} - 17 x + 35}$
184359	Solve for x	2(x+4)-8=3x+10-4	$2 (x + 4) - 8 = 3 x + 10 - 4$
184360	Graph	y-2x=0 y+x=3	$y - 2 x = 0$ $y + x = 3$
184361	Find All Complex Solutions	cos(theta)+1=1	$\cos (θ) + 1 = 1$
184362	Solve for θ	cos(2theta)+4sin(theta)^2=2	$\cos (2 θ) + 4 \sin^{2} (θ) = 2$
184363	Evaluate	e^x=3	$e^{x} = 3$
184364	Solve for n	4+(n+10)=25	$4 + (n + 10) = 25$
184365	Solve the System of Equations	2x+2y+z=-2 -2x-y+2z=-5 4x+2y+z=0	$2 x + 2 y + z = - 2$ $- 2 x - y + 2 z = - 5$ $4 x + 2 y + z = 0$
184366	Solve for x	8(4x-1)-12x=11(2x-6)	$8 (4 x - 1) - 12 x = 11 (2 x - 6)$
184367	Solve for b	4x^2+bx+25=0	$4 x^{2} + b x + 25 = 0$
184368	Solve the Inequality for x	(2x-7)/(x-2)>1	$\frac{2 x - 7}{x - 2} > 1$
184369	Graph	y>x+3 y<=5x-1	$y > x + 3$ $y \leq 5 x - 1$
184370	Evaluate	square root of 16+\|8-11\|-45÷5	$\sqrt{16} + \| 8 - 11 \| - 45 \div 5$
184371	Solve for x	1/(2x+2)+5/(x^2-1)=1/(x-1)	$\frac{1}{2 x + 2} + \frac{5}{x^{2} - 1} = \frac{1}{x - 1}$
184372	Evaluate Using the Given Value	2d+3 when d=8	$2 d + 3$ when $d = 8$
184373	Find All Complex Solutions	-4sin(x)=-cos(x)^2+1	$- 4 \sin (x) = - \cos^{2} (x) + 1$
184374	Factor	x^4-x^3-x+x^2	$x^{4} - x^{3} - x + x^{2}$
184375	Graph	f(x)=-3x-17 if x<-4; 3x-6 if x>-1	$f (x) = {\begin{cases} - 3 x - 17 & x < - 4 \\ 3 x - 6 & x > - 1 \end{cases}$
184376	Solve the Rational Equation for x	square root of x+7-5=x	$\sqrt{x + 7} - 5 = x$
184377	Evaluate	-(9x)^0	$- {(9 x)}^{0}$
184378	Simplify	(n-4)/(7n^2-28n)+(3n)/(n-2)	$\frac{n - 4}{7 n^{2} - 28 n} + \frac{3 n}{n - 2}$
184379	Simplify	(x^2+4x-5)/(15x^2+45x-60)*(10x^4+130x^3+360x^2)/(x+9)	$\frac{x^{2} + 4 x - 5}{15 x^{2} + 45 x - 60} \cdot \frac{10 x^{4} + 130 x^{3} + 360 x^{2}}{x + 9}$
184380	Factor	2(x-y)^2-3(x-y)^3	$2 {(x - y)}^{2} - 3 {(x - y)}^{3}$
184381	Find the Inverse	f(x)=(-6- cube root of 4x)/2	$f (x) = \frac{- 6 - \sqrt[3]{4 x}}{2}$
184382	Solve for x	1700=2600(0.97)^(x+4)	$1700 = 2600 {(0.97)}^{x + 4}$
184383	Multiply	-1/5*3	$- \frac{1}{5} \cdot 3$
184384	Simplify the Radical Expression	square root of 3* square root of 12	$\sqrt{3} \cdot \sqrt{12}$
184385	Find the Domain and Range	x=2y^2	$x = 2 y^{2}$
184386	Solve for x	6x+30-5x=25	$6 x + 30 - 5 x = 25$
184387	Solve for x	24+8x=8(5x+8)+8x	$24 + 8 x = 8 (5 x + 8) + 8 x$
184388	Simplify	(-2x^3)^2yy^9	${(- 2 x^{3})}^{2} \cdot y \cdot y^{9}$
184389	Find the Equation Using Two Points	f(-5)=-1 and f(2)=4	$f (- 5) = - 1$ and $f (2) = 4$
184390	Find the x and y Intercepts	y=\|3x-10\|+1	$y = \| 3 x - 10 \| + 1$
184391	Simplify	(6x^4-294x^2)/(x^4+15x^3+56x^2)*(x^2-64)/(2x^2-30x+112)	$\frac{6 x^{4} - 294 x^{2}}{x^{4} + 15 x^{3} + 56 x^{2}} \cdot \frac{x^{2} - 64}{2 x^{2} - 30 x + 112}$
184392	Solve for x	(3x-4)(4x-3)=(6x-4)(2x-5)	$(3 x - 4) (4 x - 3) = (6 x - 4) (2 x - 5)$
184393	Graph	0>=x	$0 \geq x$
184394	Solve for y	x=4/y	$x = \frac{4}{y}$
184395	Expand the Logarithmic Expression	log of (z^4)/( cube root of y^4x^3)	$\log (\frac{z^{4}}{\sqrt[3]{y^{4}} x^{3}})$
184396	Simplify	-2 square root of 5x^7+5x^2 square root of 5x^3	$- 2 \sqrt{5 x^{7}} + 5 x^{2} \sqrt{5 x^{3}}$
184397	Simplify	(4a+6ab-b)+(-2a-ab+3b)	$(4 a + 6 a b - b) + (- 2 a - a b + 3 b)$
184398	Simplify	((4m^2n^-3)^2*12n^13)/(8m^20)	$\frac{{(4 m^{2} n^{- 3})}^{2} \cdot 12 n^{13}}{8 m^{20}}$
184399	Find the Inverse	f(x)=(x^(1/3))/5+7	$f (x) = \frac{x^{\frac{1}{3}}}{5} + 7$
184400	Solve for a	x^(1/2) square root of x^3=x^a	$x^{\frac{1}{2}} \sqrt{x^{3}} = x^{a}$