Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
213401	Simplify the Radical Expression	7 cube root of 8x^2y+2 cube root of 27x^5y^4	$7 \sqrt[3]{8 x^{2} y} + 2 \sqrt[3]{27 x^{5} y^{4}}$
213402	Simplify	2(5a+2b)-a	$2 (5 a + 2 b) - a$
213403	Evaluate	(d-9)-(3d-1)	$(d - 9) - (3 d - 1)$
213404	Solve the Inequality for x	6-2(x-4)>=5(1-x)	$6 - 2 (x - 4) \geq 5 (1 - x)$
213405	Divide Using Long Polynomial Division	(4x^3-x^2+3)/x	$\frac{4 x^{3} - x^{2} + 3}{x}$
213406	Factor	(2x-3)^2-(3x+2)^2	${(2 x - 3)}^{2} - {(3 x + 2)}^{2}$
213407	Simplify	2/(1/3+1/5)	$\frac{2}{\frac{1}{3} + \frac{1}{5}}$
213408	Simplify	(-5^-2x^3)^-1	${(- 5^{- 2} x^{3})}^{- 1}$
213409	Solve for x	16^x>2^24^38^4	$16^{x} > 2^{2} \cdot 4^{3} \cdot 8^{4}$
213410	Divide Using Synthetic Division	Use synthetic division to find the result when 2x^3+3x^2-6x-16 is divided by x-2	Use synthetic division to find the result when $2 x^{3} + 3 x^{2} - 6 x - 16$ is divided by $x - 2$
213411	Find the Complex Conjugate	(3-2i)/(5i)	$\frac{3 - 2 i}{5 i}$
213412	Solve the System of Equations	2d-e=7 d+e=5	$2 d - e = 7$ $d + e = 5$
213413	Simplify the Radical Expression	(3 square root of 2xy)^3	${(3 \sqrt{2 x y})}^{3}$
213414	Factor	x^2-14x+49+4x^9-28x^8	$x^{2} - 14 x + 49 + 4 x^{9} - 28 x^{8}$
213415	Convert to a Decimal	cos(585)deg	$\cos (585)$ degrees
213416	Simplify	8/( cube root of 3x^2)	$\frac{8}{\sqrt[3]{3 x^{2}}}$
213417	Solve for s	3(-1.5s+5)=-2s+4	$3 (- 1.5 s + 5) = - 2 s + 4$
213418	Factor	729a^6-64b^6	$729 a^{6} - 64 b^{6}$
213419	Simplify	(-1)^(-1/3)	${(- 1)}^{- \frac{1}{3}}$
213420	Graph	x>=-2 y<=x-3	$x \geq - 2$ $y \leq x - 3$
213421	Simplify	(2^-1x^-3)/(y^8)	$\frac{2^{- 1} x^{- 3}}{y^{8}}$
213422	Evaluate	(2tan(pi/8))/(1-tan(pi/8)^2)	$\frac{2 \tan (\frac{π}{8})}{1 - \tan^{2} (\frac{π}{8})}$
213423	Find the Exact Value	5/10+8/100	$\frac{5}{10} + \frac{8}{100}$
213424	Solve for x	square root of 5x+8=10	$\sqrt{5 x} + 8 = 10$
213425	Solve the Rational Equation for x	x-(3x)/(x+1)=3/(x+1)	$x - \frac{3 x}{x + 1} = \frac{3}{x + 1}$
213426	Simplify	square root of ( square root of 21-2 square root of 7)^2	$\sqrt{{(\sqrt{21} - 2 \sqrt{7})}^{2}}$
213427	Simplify	-2/-4	$- \frac{2}{- 4}$
213428	Find the Roots (Zeros)	x^3-3x-2=0	$x^{3} - 3 x - 2 = 0$
213429	Simplify	-10x^2-x+6+10x^2-5	$- 10 x^{2} - x + 6 + 10 x^{2} - 5$
213430	Simplify	1^4(-1)^6	$1^{4} {(- 1)}^{6}$
213431	Solve the Inequality for x	-x^2+x+33<=3	$- x^{2} + x + 33 \leq 3$
213432	Graph	Graph the line with the equation y=-1/3x-2	Graph the line with the equation $y = - \frac{1}{3} x - 2$
213433	Simplify	(2i)^2 square root of -1/25	${(2 i)}^{2} \sqrt{\frac{- 1}{25}}$
213434	Determine if (2,12) is a Solution	y<3x+7 , (2,12)	$y < 3 x + 7$ , $(2, 12)$
213435	Solve for x	-1+5/4=-5/(4x)	$- 1 + \frac{5}{4} = \frac{- 5}{4 x}$
213436	Evaluate the Function	f(x)=(x^2-10x+25)/(x-5) , a=5	$f (x) = \frac{x^{2} - 10 x + 25}{x - 5}$ , $a = 5$
213437	Solve the Inequality for m	-3/5m<=-6	$- \frac{3}{5} m \leq - 6$
213438	Determine if a Polynomial	10b^2+(b^3)/6+b^5	$10 b^{2} + \frac{b^{3}}{6} + b^{5}$
213439	Simplify	-6/(-7- square root of 13)	$\frac{- 6}{- 7 - \sqrt{13}}$
213440	Evaluate Using the Given Value	m^2n+2m^3 if m=-0.2 and n=-9.6	$m^{2} n + 2 m^{3}$ if $m = - 0.2$ and $n = - 9.6$
213441	Simplify	((2x+3)/(6x))(3x)	$(\frac{2 x + 3}{6 x}) (3 x)$
213442	Simplify	sixth root of x* fifth root of x*10 root of x^3	$\sqrt[6]{x} \cdot \sqrt[5]{x} \cdot \sqrt[10]{x^{3}}$
213443	Find the Domain and Range	y=3cos(pix)	$y = 3 \cos (π x)$
213444	Find the Product	( square root of 6-3)( square root of 6+3)	$(\sqrt{6} - 3) (\sqrt{6} + 3)$
213445	Solve the Rational Equation for x	square root of 3x+7=x+1	$\sqrt{3 x} + 7 = x + 1$
213446	Solve for x	6 square root of 3x+2=14	$6 \sqrt{3 x} + 2 = 14$
213447	Solve for x	-54-8x=-2x	$- 54 - 8 x = - 2 x$
213448	Factor	50+10x^0+7+2	$50 + 10 x^{0} + 7 + 2$
213449	Solve for x	3x^2-bx=0	$3 x^{2} - b x = 0$
213450	Solve for y	2.25y^2-3y+1<0	$2.25 y^{2} - 3 y + 1 < 0$
213451	Determine if (3,4) is a Solution	(3,4) , x+y=7 x-2y=-5	$(3, 4)$ , $x + y = 7$ $x - 2 y = - 5$
213452	Multiply	( square root of 2)/2*1/2	$\frac{\sqrt{2}}{2} \cdot \frac{1}{2}$
213453	Simplify	(7x^(3/4)y^(5/2))/(56x^(-1/2)y^(1/4)z^(-2/3))	$\frac{7 x^{\frac{3}{4}} y^{\frac{5}{2}}}{56 x^{- \frac{1}{2}} y^{\frac{1}{4}} z^{- \frac{2}{3}}}$
213454	Solve by Graphing	y=3x+1 y=4	$y = 3 x + 1$ $y = 4$
213455	Simplify	( square root of 2+ square root of 3)*( square root of 3- square root of 2)	$(\sqrt{2} + \sqrt{3}) \cdot (\sqrt{3} - \sqrt{2})$
213456	Solve the System of Inequalities	y-5<-4 or y-5>=1	$y - 5 < - 4$ or $y - 5 \geq 1$
213457	Solve for x	x+2y=20 2x-3y=-1	$x + 2 y = 20$ $2 x - 3 y = - 1$
213458	Solve the System of Equations	y=-4/3x-5 x=-3	$y = - \frac{4}{3} x - 5$ $x = - 3$
213459	Solve for z	10-4z<=20	$10 - 4 z \leq 20$
213460	Solve for x	5x=7x-2(x-8)	$5 x = 7 x - 2 (x - 8)$
213461	Factor	p^4-p^3q+pq^3-q^4	$p^{4} - p^{3} q + p q^{3} - q^{4}$
213462	Graph	y<=-\|x\|	$y \leq - \| x \|$
213463	Simplify	2 fourth root of 8x^3y^2*3 fourth root of 2x^5y^2	$2 \sqrt[4]{8 x^{3} y^{2}} \cdot 3 \sqrt[4]{2 x^{5} y^{2}}$
213464	Solve for x	square root of 4x^2-12x+9>=9	$\sqrt{4 x^{2} - 12 x + 9} \geq 9$
213465	Simplify the Radical Expression	cube root of -125xy^12	$\sqrt[3]{- 125 x y^{12}}$
213466	Solve for x	x^2=2-\|x\|	$x^{2} = 2 - \| x \|$
213467	Find the Points of Intersection	-x+y=-2 x^2+y^2=2	$- x + y = - 2$ $x^{2} + y^{2} = 2$
213468	Simplify	5 square root of 3(8 square root of 12-3 square root of 48)	$5 \sqrt{3} (8 \sqrt{12} - 3 \sqrt{48})$
213469	Evaluate Using the Given Value	1/4x^4-1/2x^2 for x=2	$\frac{1}{4} x^{4} - \frac{1}{2} x^{2}$ for $x = 2$
213470	Simplify	(2a-b)-(2b-c)-(c-a)	$(2 a - b) - (2 b - c) - (c - a)$
213471	Simplify	5 square root of 98-3 square root of 6*5 square root of 3	$5 \sqrt{98} - 3 \sqrt{6} \cdot 5 \sqrt{3}$
213472	Solve for x	(tan(x)+1)(2sin(x)-1)=0	$(\tan (x) + 1) (2 \sin (x) - 1) = 0$
213473	Solve for x	square root of x+4- square root of 3x=-2	$\sqrt{x + 4} - \sqrt{3 x} = - 2$
213474	Describe the Transformation	y=-2 square root of x	$y = - 2 \sqrt{x}$
213475	Evaluate	1/3(-2)^3	$\frac{1}{3} {(- 2)}^{3}$
213476	Find All Complex Solutions	2(n-1)+4n=2(3n-1)	$2 (n - 1) + 4 n = 2 (3 n - 1)$
213477	Solve for n	-3=(37-3n)^(1/2)-n	$- 3 = {(37 - 3 n)}^{\frac{1}{2}} - n$
213478	Find the Inverse	f(x)=3((x-9)/2)+20	$f (x) = 3 (\frac{x - 9}{2}) + 20$
213479	Expand the Logarithmic Expression	log base 3 of ((3x)/y)^2	$\log_{3} ({(\frac{3 x}{y})}^{2})$
213480	Write in Standard Form	(2x^2+5x-7)+(3-4x^2+6x)	$(2 x^{2} + 5 x - 7) + (3 - 4 x^{2} + 6 x)$
213481	Combine Like Terms	12x+4y-3x+2-8y^2+3^2	$12 x + 4 y - 3 x + 2 - 8 y^{2} + 3^{2}$
213482	Solve for t	(cos(t)-4)(2sin(t)^2-1)=0	$(\cos (t) - 4) (2 \sin^{2} (t) - 1) = 0$
213483	Solve the Rational Equation for x	x/4=(x+12)/12	$\frac{x}{4} = \frac{x + 12}{12}$
213484	Find the Product	(x+5)/(x^3-25x)*(2x^3-11x^2+5x)	$\frac{(x + 5)}{(x^{3} - 25 x)} \cdot (2 x^{3} - 11 x^{2} + 5 x)$
213485	Simplify	((a^(1/2))/b)^(-2/5)	${(\frac{a^{\frac{1}{2}}}{b})}^{- \frac{2}{5}}$
213486	Find the Exact Value	4-(-7+10)-1	$4 - (- 7 + 10) - 1$
213487	Simplify	cube root of 24a+ cube root of 81a	$\sqrt[3]{24 a} + \sqrt[3]{81 a}$
213488	Solve for x	square root of x+1+ square root of 2x = square root of 5x+3	$\sqrt{x + 1} + \sqrt{2 x} = \sqrt{5 x + 3}$
213489	Simplify	(-2/3a^2b^3c^2)^3	${(- \frac{2}{3} a^{2} b^{3} c^{2})}^{3}$
213490	Convert to Radical Form	10/(10^(3/4))	$\frac{10}{10^{\frac{3}{4}}}$
213491	Find the LCD	x/(x+3) and -5/(4x+12)	$\frac{x}{x + 3}$ and $\frac{- 5}{4 x + 12}$
213492	Simplify	( square root of 4+ square root of 1)/( square root of 5)	$\frac{\sqrt{4} + \sqrt{1}}{\sqrt{5}}$
213493	Divide	(2xy^2-8x^2y-4x^2y^2)/(-2xy)	$\frac{2 x y^{2} - 8 x^{2} y - 4 x^{2} y^{2}}{- 2 x y}$
213494	Simplify	(15m^4n^3-35mn^2)/(5mn)	$\frac{15 m^{4} n^{3} - 35 m n^{2}}{5 m n}$
213495	Simplify	square root of (576x^4y^3)(32xy^2z)	$\sqrt{(576 x^{4} y^{3}) (32 x y^{2} z)}$
213496	Evaluate	F=(9/5*C)+32	$F = (\frac{9}{5} \cdot C) + 32$
213497	Simplify	x/2-x/4	$\frac{x}{2} - \frac{x}{4}$
213498	Write in Standard Form	(4x^3-5x^2+3x-8)+(2x^3-2x^2+6x+12)	$(4 x^{3} - 5 x^{2} + 3 x - 8) + (2 x^{3} - 2 x^{2} + 6 x + 12)$
213499	Multiply	(3x^2+7)(6x^2-4x+5)	$(3 x^{2} + 7) (6 x^{2} - 4 x + 5)$
213500	Solve for u	19u=7(5u-20)-20	$19 u = 7 (5 u - 20) - 20$