Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
184301	Solve the System of Equations	x-2y+3z=7 2x+y+z=4 -3x+2y-2z=-10	$x - 2 y + 3 z = 7$ $2 x + y + z = 4$ $- 3 x + 2 y - 2 z = - 10$
184302	Simplify	x/(x-5)*(2x)/(x+4)	$\frac{x}{x - 5} \cdot \frac{2 x}{x + 4}$
184303	Multiply	(x/2)^2	${(\frac{x}{2})}^{2}$
184304	Solve the System of Equations	x+Y=4 x+Y=2	$x + Y = 4$ $x + Y = 2$
184305	Find the Midpoint	(6,4) and (9,1)	$(6, 4)$ and $(9, 1)$
184306	Find f(g(x))	f(x)=x+2 and g(x)=x-2	$f (x) = x + 2$ and $g (x) = x - 2$
184307	Find h(f(x))	f(x)=(3x-5)^3 h(x)=2 cube root of x+8	$f (x) = {(3 x - 5)}^{3}$ $h (x) = 2 \sqrt[3]{x} + 8$
184308	Simplify	f(x)=x cube root of x^2x^5 sixth root of x square root of x	$f (x) = x \sqrt[3]{x^{2} \cdot x^{5} \cdot \sqrt[6]{x \sqrt{x}}}$
184309	Solve the Inequality for x	square root of 2x+4<4	$\sqrt{2 x + 4} < 4$
184310	Simplify	(2x^5+2x^4-4x^3)/(6x^3-48x^2+42x)*((x-7)^2)/(x+2)	$\frac{2 x^{5} + 2 x^{4} - 4 x^{3}}{6 x^{3} - 48 x^{2} + 42 x} \cdot \frac{{(x - 7)}^{2}}{x + 2}$
184311	Solve for x	(x+3)/4+(5(7x+9))/3=(3(4x+3))/12-7/2	$\frac{x + 3}{4} + \frac{5 \cdot (7 x + 9)}{3} = \frac{3 \cdot (4 x + 3)}{12} - \frac{7}{2}$
184312	Solve the Inequality for x	6-4(6x+7)>=122	$6 - 4 (6 x + 7) \geq 122$
184313	Solve for x	(3x)/2+1/4+2=(3x)/4-x/3	$\frac{3 x}{2} + \frac{1}{4} + 2 = \frac{3 x}{4} - \frac{x}{3}$
184314	Solve the System of Inequalities	7x-9<12 or 1/4x+8>11	$7 x - 9 < 12$ or $\frac{1}{4} x + 8 > 11$
184315	Simplify	(-1-2i)/(i-2)	$\frac{- 1 - 2 i}{i - 2}$
184316	Simplify	(10+ square root of -200)(4+ square root of -200)	$(10 + \sqrt{- 200}) (4 + \sqrt{- 200})$
184317	Graph	S(x)=1/2x^6-2x^4	$S (x) = \frac{1}{2} x^{6} - 2 x^{4}$
184318	Solve for a	(x^(4/3))^(6/5)=x^a	${(x^{\frac{4}{3}})}^{\frac{6}{5}} = x^{a}$
184319	Solve for x	100^((3-4x)/(2x+1))<=0.01^((5x-8)/(2x+1))	$100^{\frac{3 - 4 x}{2 x + 1}} \leq {0.01}^{\frac{5 x - 8}{2 x + 1}}$
184320	Find the Roots (Zeros)	h(t)=(t-8)^1(t-4)^2(t-2)^3(t-1)^4	$h (t) = {(t - 8)}^{1} {(t - 4)}^{2} {(t - 2)}^{3} {(t - 1)}^{4}$
184321	Simplify	(5-80x^2)/10	$\frac{5 - 80 x^{2}}{10}$
184322	Find q(p(x))	p(x)=x^2+9 q(x) = square root of x+8	$p (x) = x^{2} + 9$ $q (x) = \sqrt{x + 8}$
184323	Solve the Inequality for x	x^3-9x>0	$x^{3} - 9 x > 0$
184324	Solve the Inequality for k	k/-0.25<=36	$\frac{k}{- 0.25} \leq 36$
184325	Graph Using a Table of Values	f(x)=15(6/5)^x	$f (x) = 15 {(\frac{6}{5})}^{x}$
184326	Solve for x	4\|x+3\|+3>=31	$4 \| x + 3 \| + 3 \geq 31$
184327	Solve for x	x^2=6-x	$x^{2} = 6 - x$
184328	Find a,b,c	3x+5=0	$3 x + 5 = 0$
184329	Solve for x	(5x)/6-7/4+(2x)/3=2x-5/12+x/3	$\frac{5 x}{6} - \frac{7}{4} + \frac{2 x}{3} = 2 x - \frac{5}{12} + \frac{x}{3}$
184330	Find the Focus	-x^2+4y^2-16y+12=0	$- x^{2} + 4 y^{2} - 16 y + 12 = 0$
184331	Solve Using the Quadratic Formula	-5x^2=-25	$- 5 x^{2} = - 25$
184332	Simplify	(1/4)^1	${(\frac{1}{4})}^{1}$
184333	Solve for n	-2(n+3)=13	$- 2 (n + 3) = 13$
184334	Simplify	3b+5b^2-3b-4b^2	$3 b + 5 b^{2} - 3 b - 4 b^{2}$
184335	Simplify	a-(b+a)+(-a+b)-(-a+2b)	$a - (b + a) + (- a + b) - (- a + 2 b)$
184336	Factor by Grouping	a^4-b^4	$a^{4} - b^{4}$
184337	Graph	f(x)=f(x+2)	$f (x) = f (x + 2)$
184338	Rationalize the Denominator	2/(3+ square root of 19)	$\frac{2}{3 + \sqrt{19}}$
184339	Convert to Scientific Notation	(7.0610^5)÷5.310^-2	$7.06 \times 10^{5} \div 5.3 \times 10^{- 2}$
184340	Evaluate	-2(3/2)^2	$- 2 {(\frac{3}{2})}^{2}$
184341	Solve the System of Inequalities	x+7>=1 or 16<x+7	$x + 7 \geq 1$ or $16 < x + 7$
184342	Simplify	2/( cube root of 2)	$\frac{2}{\sqrt[3]{2}}$
184343	Find the x and y Intercepts	(x^2-25)/(2x^2-17x+35)	$\frac{x^{2} - 25}{2 x^{2} - 17 x + 35}$
184344	Solve for x	2(x+4)-8=3x+10-4	$2 (x + 4) - 8 = 3 x + 10 - 4$
184345	Graph	y-2x=0 y+x=3	$y - 2 x = 0$ $y + x = 3$
184346	Find All Complex Solutions	cos(theta)+1=1	$\cos (θ) + 1 = 1$
184347	Solve for θ	cos(2theta)+4sin(theta)^2=2	$\cos (2 θ) + 4 \sin^{2} (θ) = 2$
184348	Evaluate	e^x=3	$e^{x} = 3$
184349	Solve for n	4+(n+10)=25	$4 + (n + 10) = 25$
184350	Solve the System of Equations	2x+2y+z=-2 -2x-y+2z=-5 4x+2y+z=0	$2 x + 2 y + z = - 2$ $- 2 x - y + 2 z = - 5$ $4 x + 2 y + z = 0$
184351	Solve for x	8(4x-1)-12x=11(2x-6)	$8 (4 x - 1) - 12 x = 11 (2 x - 6)$
184352	Solve for b	4x^2+bx+25=0	$4 x^{2} + b x + 25 = 0$
184353	Solve the Inequality for x	(2x-7)/(x-2)>1	$\frac{2 x - 7}{x - 2} > 1$
184354	Graph	y>x+3 y<=5x-1	$y > x + 3$ $y \leq 5 x - 1$
184355	Evaluate	square root of 16+\|8-11\|-45÷5	$\sqrt{16} + \| 8 - 11 \| - 45 \div 5$
184356	Solve for x	1/(2x+2)+5/(x^2-1)=1/(x-1)	$\frac{1}{2 x + 2} + \frac{5}{x^{2} - 1} = \frac{1}{x - 1}$
184357	Evaluate Using the Given Value	2d+3 when d=8	$2 d + 3$ when $d = 8$
184358	Find All Complex Solutions	-4sin(x)=-cos(x)^2+1	$- 4 \sin (x) = - \cos^{2} (x) + 1$
184359	Factor	x^4-x^3-x+x^2	$x^{4} - x^{3} - x + x^{2}$
184360	Graph	f(x)=-3x-17 if x<-4; 3x-6 if x>-1	$f (x) = {\begin{cases} - 3 x - 17 & x < - 4 \\ 3 x - 6 & x > - 1 \end{cases}$
184361	Solve the Rational Equation for x	square root of x+7-5=x	$\sqrt{x + 7} - 5 = x$
184362	Evaluate	-(9x)^0	$- {(9 x)}^{0}$
184363	Simplify	(n-4)/(7n^2-28n)+(3n)/(n-2)	$\frac{n - 4}{7 n^{2} - 28 n} + \frac{3 n}{n - 2}$
184364	Simplify	(x^2+4x-5)/(15x^2+45x-60)*(10x^4+130x^3+360x^2)/(x+9)	$\frac{x^{2} + 4 x - 5}{15 x^{2} + 45 x - 60} \cdot \frac{10 x^{4} + 130 x^{3} + 360 x^{2}}{x + 9}$
184365	Factor	2(x-y)^2-3(x-y)^3	$2 {(x - y)}^{2} - 3 {(x - y)}^{3}$
184366	Find the Inverse	f(x)=(-6- cube root of 4x)/2	$f (x) = \frac{- 6 - \sqrt[3]{4 x}}{2}$
184367	Solve for x	1700=2600(0.97)^(x+4)	$1700 = 2600 {(0.97)}^{x + 4}$
184368	Multiply	-1/5*3	$- \frac{1}{5} \cdot 3$
184369	Simplify the Radical Expression	square root of 3* square root of 12	$\sqrt{3} \cdot \sqrt{12}$
184370	Find the Domain and Range	x=2y^2	$x = 2 y^{2}$
184371	Solve for x	6x+30-5x=25	$6 x + 30 - 5 x = 25$
184372	Solve for x	24+8x=8(5x+8)+8x	$24 + 8 x = 8 (5 x + 8) + 8 x$
184373	Simplify	(-2x^3)^2yy^9	${(- 2 x^{3})}^{2} \cdot y \cdot y^{9}$
184374	Find the Equation Using Two Points	f(-5)=-1 and f(2)=4	$f (- 5) = - 1$ and $f (2) = 4$
184375	Find the x and y Intercepts	y=\|3x-10\|+1	$y = \| 3 x - 10 \| + 1$
184376	Simplify	(6x^4-294x^2)/(x^4+15x^3+56x^2)*(x^2-64)/(2x^2-30x+112)	$\frac{6 x^{4} - 294 x^{2}}{x^{4} + 15 x^{3} + 56 x^{2}} \cdot \frac{x^{2} - 64}{2 x^{2} - 30 x + 112}$
184377	Solve for x	(3x-4)(4x-3)=(6x-4)(2x-5)	$(3 x - 4) (4 x - 3) = (6 x - 4) (2 x - 5)$
184378	Graph	0>=x	$0 \geq x$
184379	Solve for y	x=4/y	$x = \frac{4}{y}$
184380	Expand the Logarithmic Expression	log of (z^4)/( cube root of y^4x^3)	$\log (\frac{z^{4}}{\sqrt[3]{y^{4}} x^{3}})$
184381	Simplify	-2 square root of 5x^7+5x^2 square root of 5x^3	$- 2 \sqrt{5 x^{7}} + 5 x^{2} \sqrt{5 x^{3}}$
184382	Simplify	(4a+6ab-b)+(-2a-ab+3b)	$(4 a + 6 a b - b) + (- 2 a - a b + 3 b)$
184383	Simplify	((4m^2n^-3)^2*12n^13)/(8m^20)	$\frac{{(4 m^{2} n^{- 3})}^{2} \cdot 12 n^{13}}{8 m^{20}}$
184384	Find the Inverse	f(x)=(x^(1/3))/5+7	$f (x) = \frac{x^{\frac{1}{3}}}{5} + 7$
184385	Solve for a	x^(1/2) square root of x^3=x^a	$x^{\frac{1}{2}} \sqrt{x^{3}} = x^{a}$
184386	Simplify	(4d^3e^5)^7	${(4 d^{3} e^{5})}^{7}$
184387	Simplify	(16mn^3)/(-8m^2n^2)	$\frac{16 m n^{3}}{- 8 m^{2} n^{2}}$
184388	Solve for x	6x=9+x^2	$6 x = 9 + x^{2}$
184389	Divide	(x/(x-6))÷((x+6)/x)	$\frac{x}{x - 6} \div \frac{x + 6}{x}$
184390	Solve for x	x+(2x+5)/(x+6)=2	$x + \frac{2 x + 5}{x + 6} = 2$
184391	Solve for x	(4x)/(x-3)+x/2=12/(x-3)	$\frac{4 x}{x - 3} + \frac{x}{2} = \frac{12}{x - 3}$
184392	Solve for x	x^(1/4)+3=0	$x^{\frac{1}{4}} + 3 = 0$
184393	Factor	f(x)=x^3+2x^2-4x-8	$f (x) = x^{3} + 2 x^{2} - 4 x - 8$
184394	Simplify	2 square root of 160x^2-4x square root of 10	$2 \sqrt{160 x^{2}} - 4 x \sqrt{10}$
184395	Solve for d	3/5(15d+20)-1/6(18d-12)=38	$\frac{3}{5} (15 d + 20) - \frac{1}{6} (18 d - 12) = 38$
184396	Find the Inverse	f(x)=7(x-3)^(1/5)	$f (x) = 7 {(x - 3)}^{\frac{1}{5}}$
184397	Simplify	(7x^4-9x^3-4x^2+5x+6)-(2x^4+3x^3-x^2+x-4)	$(7 x^{4} - 9 x^{3} - 4 x^{2} + 5 x + 6) - (2 x^{4} + 3 x^{3} - x^{2} + x - 4)$
184398	Subtract	(4x^4+2y^3-6z^3+4)-(-9x^4-3y^3+4z^3+9)	$(4 x^{4} + 2 y^{3} - 6 z^{3} + 4) - (- 9 x^{4} - 3 y^{3} + 4 z^{3} + 9)$
184399	Divide Using Long Polynomial Division	(2x^3-18x-45+5x^2)÷(x+5)	$(2 x^{3} - 18 x - 45 + 5 x^{2}) \div (x + 5)$
184400	Graph	f(x)=(x+1)(x^2+2)	$f (x) = (x + 1) (x^{2} + 2)$