Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
225201	Graph	5x+3y<x+6	$5 x + 3 y < x + 6$
225202	Graph	Graph 6x-5y=30	Graph $6 x - 5 y = 30$
225203	Solve the Rational Equation for x	(2x^2+1)/(x-1)+x=3+3/(x-1)	$\frac{2 x^{2} + 1}{x - 1} + x = 3 + \frac{3}{x - 1}$
225204	Simplify	(x^-1-y^-1)/((xy)^-1)	$\frac{x^{- 1} - y^{- 1}}{{(x y)}^{- 1}}$
225205	Simplify	4a^33b^35a^2	$4 a^{3} \cdot 3 b^{3} \cdot 5 a^{2}$
225206	Evaluate	fourth root of 5^3* sixth root of 5	$\sqrt[4]{5^{3}} \cdot \sqrt[6]{5}$
225207	Solve for x	5x-2(2x)=3	$5 x - 2 (2 x) = 3$
225208	Multiply	(x-y)(x^2-2xy+y^2)	$(x - y) (x^{2} - 2 x y + y^{2})$
225209	Factor	x^2-2x(y+z)+(y+z)^2	$x^{2} - 2 x (y + z) + {(y + z)}^{2}$
225210	Factor by Grouping	-3+3x^5	$- 3 + 3 x^{5}$
225211	Simplify	1/(t square root of 1+t)-1/t	$\frac{1}{t \sqrt{1 + t}} - \frac{1}{t}$
225212	Simplify	(-8x^5y^3)^(1/3)	${(- 8 x^{5} y^{3})}^{\frac{1}{3}}$
225213	Solve the System of Inequalities	-8x>-24 and -10<=2x-6	$- 8 x > - 24$ and $- 10 \leq 2 x - 6$
225214	Simplify the Radical Expression	(-7)^(5/3)*(1/56)^(5/3)	${(- 7)}^{\frac{5}{3}} \cdot {(\frac{1}{56})}^{\frac{5}{3}}$
225215	Divide	((x^2-3x-10)/(2x^2-11x+5))÷((x^2-5x+6)/(2x^2-7x+3))	$\frac{x^{2} - 3 x - 10}{2 x^{2} - 11 x + 5} \div \frac{x^{2} - 5 x + 6}{2 x^{2} - 7 x + 3}$
225216	Simplify	2 cube root of 24a^2+ cube root of 81a^2-6 cube root of 3a^2	$2 \sqrt[3]{24 a^{2}} + \sqrt[3]{81 a^{2}} - 6 \sqrt[3]{3 a^{2}}$
225217	Solve the Inequality for x	log base 7 of 5x+3=3	$\log_{7} (5 x) + 3 = 3$
225218	Solve the Rational Equation for x	x = square root of 42-x	$x = \sqrt{42 - x}$
225219	Divide	( cube root of 4)÷( sixth root of 2)	$\sqrt[3]{4} \div \sqrt[6]{2}$
225220	Graph	{y=-x+10}	${y = - x + 10}$
225221	Solve for x	(5x+1)/5+(4x)/7=34/35	$\frac{5 x + 1}{5} + \frac{4 x}{7} = \frac{34}{35}$
225222	Find All Complex Solutions	2x+8=2(x+4)	$2 x + 8 = 2 (x + 4)$
225223	Subtract	11/12-4/6	$\frac{11}{12} - \frac{4}{6}$
225224	Solve for g	D=7/8(f-g)	$D = \frac{7}{8} (f - g)$
225225	Find the Multiples	multiples of 3	multiples of $3$
225226	Find the Product	seventh root of 7* cube root of 7	$\sqrt[7]{7} \cdot \sqrt[3]{7}$
225227	Simplify	(1-2x)^3-7x(x^2-2)	${(1 - 2 x)}^{3} - 7 x (x^{2} - 2)$
225228	Simplify the Radical Expression	square root of a^-3	$\sqrt{a^{- 3}}$
225229	Write in Standard Form	f(x)=(5x-3)(25x^2+15x+9)	$f (x) = (5 x - 3) (25 x^{2} + 15 x + 9)$
225230	Evaluate	(x^2-y^2)^2	${(x^{2} - y^{2})}^{2}$
225231	Graph	2x+y=5 -2x+y=1	$2 x + y = 5$ $- 2 x + y = 1$
225232	Simplify	Simplify (1+3)^2-10÷2	Simplify ${(1 + 3)}^{2} - 10 \div 2$
225233	Write in Standard Form	2x^3-9+2x+8-4x	$2 x^{3} - 9 + 2 x + 8 - 4 x$
225234	Multiply	(6x+24)/(5x-35)*(9x-63)/(7x+28)	$\frac{6 x + 24}{5 x - 35} \cdot \frac{9 x - 63}{7 x + 28}$
225235	Simplify	square root of 8x^5y^6z^13	$\sqrt{8 x^{5} y^{6}} z^{13}$
225236	Evaluate	arcsin(sin((3pi)/2))	$\arcsin (\sin (\frac{3 π}{2}))$
225237	Subtract	(4y^2+2y-8)-(7y^2+4-y)	$(4 y^{2} + 2 y - 8) - (7 y^{2} + 4 - y)$
225238	Simplify	(4+5h)(16-20h+25h^2)	$(4 + 5 h) (16 - 20 h + 25 h^{2})$
225239	Solve for x	8^(2-x)=(1/4)^(2x)	$8^{2 - x} = {(\frac{1}{4})}^{2 x}$
225240	Simplify	((2c-2d)^2)/((3c-3d)^2)	$\frac{{(2 c - 2 d)}^{2}}{{(3 c - 3 d)}^{2}}$
225241	Solve Using the Quadratic Formula	w(2w-11)-8=0	$w (2 w - 11) - 8 = 0$
225242	Simplify	14/( cube root of 4+5)	$\frac{14}{\sqrt[3]{4} + 5}$
225243	Simplify	14y+2y(6-y)	$14 y + 2 y (6 - y)$
225244	Evaluate	square root of x^2-14x+49=x-7	$\sqrt{x^{2} - 14 x + 49} = x - 7$
225245	Simplify	(xy^2-4xy)/((y-4)(y+4))	$\frac{x y^{2} - 4 x y}{(y - 4) (y + 4)}$
225246	Convert to Interval Notation	x<2 and x>-2	$x < 2$ and $x > - 2$
225247	Simplify	(6x^2)/(x square root of 3)	$\frac{6 x^{2}}{x \sqrt{3}}$
225248	Graph	x+y>8 x>5	$x + y > 8$ $x > 5$
225249	Simplify	5/( fourth root of 8x^3y^3)	$\frac{5}{\sqrt[4]{8 x^{3} y^{3}}}$
225250	Solve the Inequality for x	2(2x-1)>4x	$2 (2 x - 1) > 4 x$
225251	Solve for w	w(2w-11)-8=0	$w (2 w - 11) - 8 = 0$
225252	Simplify	square root of x^3+1	$\sqrt{x^{3} + 1}$
225253	Solve for h	16+18h+14h=-14-7(-6h+20)	$16 + 18 h + 14 h = - 14 - 7 (- 6 h + 20)$
225254	Find the Midpoint	(5,11) and (9,5)	$(5, 11)$ and $(9, 5)$
225255	Simplify	((y^3x)^(1/6))/(y^(-1/2)x^(1/3))	$\frac{{(y^{3} x)}^{\frac{1}{6}}}{y^{- \frac{1}{2}} x^{\frac{1}{3}}}$
225256	Solve for m	-161=1-6m^3	$- 161 = 1 - 6 m^{3}$
225257	Simplify	i^11*i^25+i^2021	$i^{11} \cdot i^{25} + i^{2021}$
225258	Divide	3x^3-3x^2-4x+3 by x+3	$3 x^{3} - 3 x^{2} - 4 x + 3$ by $x + 3$
225259	Divide Using Long Polynomial Division	6x^3+23x^2+13x+11 is divided by 3x+1	$6 x^{3} + 23 x^{2} + 13 x + 11$ is divided by $3 x + 1$
225260	Write in Exponential Form	( cube root of 9ab)^4	${(\sqrt[3]{9 a b})}^{4}$
225261	Solve for r	s/r-3=t/r	$\frac{s}{r} - 3 = \frac{t}{r}$
225262	Simplify	( cube root of 4x^3)^3	${(\sqrt[3]{4 x^{3}})}^{3}$
225263	Solve by Factoring	x^5=9x^3	$x^{5} = 9 x^{3}$
225264	Find the Exact Value	cos(60 degrees )+tan(45 degrees )	$\cos (60 °) + \tan (45 °)$
225265	Find the Exact Value	csc(585 degrees )	$\csc (585 °)$
225266	Convert to a Decimal	semieje mayor 6 semieje menor 4 eje focal enx	semieje mayor $6$ semieje menor $4$ eje focal enx
225267	Find the Midpoint	(2,-14) and (-3,0)	$(2, - 14)$ and $(- 3, 0)$
225268	Solve for d	square root of d=10	$\sqrt{d} = 10$
225269	Find the Inverse	y=(1/2)^(x-1)+2	$y = {(\frac{1}{2})}^{x - 1} + 2$
225270	Find the Holes in the Graph	(x^3-16x)/(-4x^2+4x+24)	$\frac{x^{3} - 16 x}{- 4 x^{2} + 4 x + 24}$
225271	Write in Slope-Intercept Form	(3,1) and (9,-7)	$(3, 1)$ and $(9, - 7)$
225272	Evaluate	log base 11 of 121+ log base 2 of 8^3-3 natural log of e^4	$\log_{11} (121) + \log_{2} (8^{3}) - 3 \ln (e^{4})$
225273	Evaluate	3!!	$3!!$
225274	Solve for w	cube root of 2w=4	$\sqrt[3]{2 w} = 4$
225275	Divide	(a^4-a^2-2a-1)/(a^2+a+1)	$\frac{(a^{4} - a^{2} - 2 a - 1)}{a^{2} + a + 1}$
225276	Solve by Addition/Elimination	7y+13=-5x 5x=8y-28	$7 y + 13 = - 5 x$ $5 x = 8 y - 28$
225277	Simplify	(8^2)/(2^-3)	$\frac{8^{2}}{2^{- 3}}$
225278	Find the Degree	6x^5y^4-y^5x^2+6	$6 x^{5} y^{4} - y^{5} x^{2} + 6$
225279	Solve for x	10x+15=9(9)	$10 x + 15 = 9 (9)$
225280	Solve for x	3(2x-1)-2x=4(x-2)+5	$3 (2 x - 1) - 2 x = 4 (x - 2) + 5$
225281	Simplify	(n-2)/(n^2-13n+40)(n-5)	$\frac{n - 2}{n^{2} - 13 n + 40} (n - 5)$
225282	Simplify	square root of (-7)^3	$\sqrt{{(- 7)}^{3}}$
225283	Simplify	((a-b)/(4a+4b))÷((a^2-b^2)/(a^2+6a+9))	$\frac{a - b}{4 a + 4 b} \div \frac{a^{2} - b^{2}}{a^{2} + 6 a + 9}$
225284	Multiply	3x^2(2xy-3xy^2+4x^2y^3)	$3 x^{2} (2 x y - 3 x y^{2} + 4 x^{2} y^{3})$
225285	Simplify	((2m)^-2n^5)/(-m^4n^-3)	$\frac{{(2 m)}^{- 2} n^{5}}{- m^{4} n^{- 3}}$
225286	Convert to Radical Form	x^(1/3)x^(1/2)x^(1/4)	$x^{\frac{1}{3}} \cdot x^{\frac{1}{2}} \cdot x^{\frac{1}{4}}$
225287	Simplify	(y+5)+(2y+4y^2-2)	$(y + 5) + (2 y + 4 y^{2} - 2)$
225288	Simplify	5/12a-1/4(2/3a-8)	$\frac{5}{12} a - \frac{1}{4} (\frac{2}{3} a - 8)$
225289	Simplify	5f-3e-12f+e-9	$5 f - 3 e - 12 f + e - 9$
225290	Solve for x	e^(x-8)=sin(x)+y	$e^{x - 8} = \sin (x) + y$
225291	Solve the System of Equations	x+2y=-9 -2x-3y=14	$x + 2 y = - 9$ $- 2 x - 3 y = 14$
225292	Simplify	(6x^2+3)(2x^2-4x)	$(6 x^{2} + 3) (2 x^{2} - 4 x)$
225293	Multiply	(5b^2-29b+36)/(40b^2)*10/(50b-90)	$\frac{5 b^{2} - 29 b + 36}{40 b^{2}} \cdot \frac{10}{50 b - 90}$
225294	Find the x and y Intercepts	p(x)=(2x^2-9x+7)(x-2)	$p (x) = (2 x^{2} - 9 x + 7) (x - 2)$
225295	Solve for m	p=20.8m	$p = 20.8 m$
225296	Simplify	(a^2-11a+18)/(72+a-a^2)	$\frac{a^{2} - 11 a + 18}{72 + a - a^{2}}$
225297	Evaluate	(x^3)/(x^-1*x^5)	$\frac{x^{3}}{x^{- 1} \cdot x^{5}}$
225298	Simplify	(4 square root of 2-4)/( square root of 6- square root of 3)	$\frac{4 \sqrt{2} - 4}{\sqrt{6} - \sqrt{3}}$
225299	Simplify	(45e^6f^8)/(5ef^2)	$\frac{45 e^{6} f^{8}}{5 e f^{2}}$
225300	Simplify	-(xy^3)^0	$- {(x y^{3})}^{0}$