Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
224501	Simplify	(-9a^4-9a^3-4a^2)÷9a	$(- 9 a^{4} - 9 a^{3} - 4 a^{2}) \div 9 a$
224502	Solve for x	x+3 = square root of x^2+5	$x + 3 = \sqrt{x^{2} + 5}$
224503	Solve for w	525=w^2+4w	$525 = w^{2} + 4 w$
224504	Convert to a Decimal	The fraction -3/5 written as a decimal is	The fraction $- \frac{3}{5}$ written as a decimal is
224505	Simplify	(27k^5m^8)/((4k^3)(9m^2))	$\frac{27 k^{5} m^{8}}{(4 k^{3}) (9 m^{2})}$
224506	Simplify	(xy)/(7x^-4y^-2)	$\frac{x y}{7 x^{- 4} y^{- 2}}$
224507	Solve for x	square root of x=y	$\sqrt{x} = y$
224508	Solve Using the Square Root Property	4x^2+27=x^2	$4 x^{2} + 27 = x^{2}$
224509	Graph	y>=-3x+7 y>1/2x y<2	$y \geq - 3 x + 7$ $y > \frac{1}{2} x$ $y < 2$
224510	Solve for Q	Q = cube root of 36^(2^-1)+125^(3^-1)-81^(2^-2)	$Q = \sqrt[3]{36^{2^{- 1}} + 125^{3^{- 1}} - 81^{2^{- 2}}}$
224511	Evaluate	(-11x^3y)^-2	${(- 11 x^{3} y)}^{- 2}$
224512	Evaluate	14-3x<-1	$14 - 3 x < - 1$
224513	Evaluate	(54^3125^28^2)/(6^3*30^6)	$\frac{54^{3} \cdot 125^{2} \cdot 8^{2}}{6^{3} \cdot 30^{6}}$
224514	Divide Using Long Polynomial Division	(x^4-13x-42)/(x^2-x-6)	$\frac{x^{4} - 13 x - 42}{x^{2} - x - 6}$
224515	Solve for x	y=2x^(1/3)	$y = 2 x^{\frac{1}{3}}$
224516	Solve the Inequality for x	x^2-48>-5x+2	$x^{2} - 48 > - 5 x + 2$
224517	Graph	f^-1(x)=1/(f(x))	$f^{- 1} (x) = \frac{1}{f (x)}$
224518	Simplify	( square root of y^(1/4))^8	${(\sqrt{y^{\frac{1}{4}}})}^{8}$
224519	Evaluate the Function	g(0)=0/( square root of 1-0^2)	$g (0) = \frac{0}{\sqrt{1 - 0^{2}}}$
224520	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (4,-3) and has a slope of 1 ?	What is the equation of the line that passes through the point $(4, - 3)$ and has a slope of $1$ ?
224521	Determine if Dependent, Independent, or Inconsistent	3y=9x-6 2y+6x=4	$3 y = 9 x - 6$ $2 y + 6 x = 4$
224522	Simplify the Radical Expression	(4 square root of 5-1)(3+2 square root of 5)	$(4 \sqrt{5} - 1) (3 + 2 \sqrt{5})$
224523	Find the Distance Between Two Points	(6,-1) and (0,7)	$(6, - 1)$ and $(0, 7)$
224524	Find the Product	(x^2+3x-4)/(x^2+4x+4)*(2x^2+4x)/(x^2-4x+3)	$\frac{x^{2} + 3 x - 4}{x^{2} + 4 x + 4} \cdot \frac{2 x^{2} + 4 x}{x^{2} - 4 x + 3}$
224525	Write the Fraction in Simplest Form	((3s^5)^-4)/(6s^3j^-6)	$\frac{{(3 s^{5})}^{- 4}}{6 s^{3} j^{- 6}}$
224526	Evaluate the Function	f(x)=-4x^2+x+5 at x=1	$f (x) = - 4 x^{2} + x + 5$ at $x = 1$
224527	Factor	x^4+7x^3-18x^2-x^2-7x+18	$x^{4} + 7 x^{3} - 18 x^{2} - x^{2} - 7 x + 18$
224528	Graph	y<-5x+3y	$y < - 5 x + 3 y$
224529	Solve the System of Equations	y=x+4 y-4=x	$y = x + 4$ $y - 4 = x$
224530	Factor	p(x)=x^3+x^2+9x+9	$p (x) = x^{3} + x^{2} + 9 x + 9$
224531	Simplify	((x+1)/(x+1)*(x^2-1)/(4x^2-40x))÷((x^2+9x-10)/(x^2-100))	$\frac{x + 1}{x + 1} \cdot \frac{x^{2} - 1}{4 x^{2} - 40 x} \div \frac{x^{2} + 9 x - 10}{x^{2} - 100}$
224532	Simplify	(3xy^3)^3(2x)	${(3 x y^{3})}^{3} (2 x)$
224533	Graph	x-2y<-2 2x+y>3	$x - 2 y < - 2$ $2 x + y > 3$
224534	Graph	f(x)=-(3x-1)/(x-3)	$f (x) = - \frac{3 x - 1}{x - 3}$
224535	Solve for a	9x^2-24x+16=(ax-b)^2	$9 x^{2} - 24 x + 16 = {(a x - b)}^{2}$
224536	Describe the Transformation	g(x)=3(1/(x+1))-2	$g (x) = 3 (\frac{1}{x + 1}) - 2$
224537	Simplify	4/x-2/(x(x+1))-2/(x+1)	$\frac{4}{x} - \frac{2}{x (x + 1)} - \frac{2}{x + 1}$
224538	Multiply	(6mn-9)(m^2n-7)	$(6 m n - 9) (m^{2} n - 7)$
224539	Simplify	(4x^3+56x^2+160x)/(x+10)(81-x^2)/(-x-9)(3x)/(x^2-5x-36)	$\frac{4 x^{3} + 56 x^{2} + 160 x}{x + 10} \cdot \frac{81 - x^{2}}{- x - 9} \cdot \frac{3 x}{x^{2} - 5 x - 36}$
224540	Solve for x	-16+5x=4(3x+7)	$- 16 + 5 x = 4 (3 x + 7)$
224541	Simplify	tan(x)*tan(x)	$\tan (x) \cdot \tan (x)$
224542	Simplify the Radical Expression	(4 square root of 6)( square root of -5)	$(4 \sqrt{6}) (\sqrt{- 5})$
224543	Simplify	((x^2y^2z^2)^5)/((x^3y^3z^3)^7)	$\frac{{(x^{2} y^{2} z^{2})}^{5}}{{(x^{3} y^{3} z^{3})}^{7}}$
224544	Simplify	\|-1+i\|	$\| - 1 + i \|$
224545	Divide Using Long Polynomial Division	(x^3-3x^2+x-3)/(x^2+1)	$\frac{x^{3} - 3 x^{2} + x - 3}{x^{2} + 1}$
224546	Simplify	(-6^8)/(-6^5)	$\frac{- 6^{8}}{- 6^{5}}$
224547	Simplify	( cube root of 10)/( cube root of 625)	$\frac{\sqrt[3]{10}}{\sqrt[3]{625}}$
224548	Find the Exact Value	arcsin(cot((3pi)/4))	$\arcsin (\cot (\frac{3 π}{4}))$
224549	Find the Exact Value	tan(arcsin(3/5)-arctan(1/4))	$\tan (\arcsin (\frac{3}{5}) - \arctan (\frac{1}{4}))$
224550	Evaluate	cube root of x=3 cube root of 7	$\sqrt[3]{x} = 3 \sqrt[3]{7}$
224551	Find g(h(x))	g(x)=3x h(x)=x-4	$g (x) = 3 x$ $h (x) = x - 4$
224552	Solve for x	3^(8x^2+6x)-12=-81^(x^2+(3x)/4)	$3^{8 x^{2} + 6 x} - 12 = - 81^{x^{2} + \frac{3 x}{4}}$
224553	Solve for x	4(4+2x)-6(7x-10)=-80	$4 (4 + 2 x) - 6 (7 x - 10) = - 80$
224554	Find the Roots (Zeros)	-9x^2+12x-4=0	$- 9 x^{2} + 12 x - 4 = 0$
224555	Simplify	(4/(2y)-1/(2y))/(4/(2y)+3/y)	$\frac{\frac{4}{2 y} - \frac{1}{2 y}}{\frac{4}{2 y} + \frac{3}{y}}$
224556	Solve the Inequality for X	X^3-4X^2-X+4>=0	$X^{3} - 4 X^{2} - X + 4 \geq 0$
224557	Factor	factor 9y^2-25	factor $9 y^{2} - 25$
224558	Solve for x	x/(x+9)-1/(9-x)=(2x)/(x^2-81)	$\frac{x}{x + 9} - \frac{1}{9 - x} = \frac{2 x}{x^{2} - 81}$
224559	Solve the System of Equations	x+y=5 y=x+1	$x + y = 5$ $y = x + 1$
224560	Graph	(9-x)/7=y	$\frac{9 - x}{7} = y$
224561	Write in Standard Form	(x^2+2x-2)(x^2+x+10)	$(x^{2} + 2 x - 2) (x^{2} + x + 10)$
224562	Simplify	cube root of 64/(x^2)	$\sqrt[3]{\frac{64}{x^{2}}}$
224563	Evaluate	5/6*1/4+3/8	$\frac{5}{6} \cdot \frac{1}{4} + \frac{3}{8}$
224564	Simplify	1/(x^2-1)+2/(x^2+x)	$\frac{1}{x^{2} - 1} + \frac{2}{x^{2} + x}$
224565	Subtract	(x+7)/(x+5)-(7x)/(x^2-3x-40)	$\frac{x + 7}{x + 5} - \frac{7 x}{x^{2} - 3 x - 40}$
224566	Find the Product	(3xy)^2	${(3 x y)}^{2}$
224567	Solve for p	p-5(p+4)=p-(8-p)	$p - 5 (p + 4) = p - (8 - p)$
224568	Evaluate	((3 square root of 3)/2)^2	${(\frac{3 \sqrt{3}}{2})}^{2}$
224569	Write in y=mx+b Form	0=-3x-4-2y	$0 = - 3 x - 4 - 2 y$
224570	Solve the Rational Equation for x	square root of x/10 = square root of 3x-58	$\sqrt{\frac{x}{10}} = \sqrt{3 x - 58}$
224571	Factor	-45x^4+42x^3+1272x^2-1050x-3675	$- 45 x^{4} + 42 x^{3} + 1272 x^{2} - 1050 x - 3675$
224572	Evaluate	i^9i^25i^12*i^16	$i^{9} \cdot i^{25} \cdot i^{12} \cdot i^{16}$
224573	Simplify	(5x^4)/(5x^-3)	$\frac{5 x^{4}}{5 x^{- 3}}$
224574	Find the Holes in the Graph	f(x)=(2x^2+5x-3)/(x+3)	$f (x) = \frac{2 x^{2} + 5 x - 3}{x + 3}$
224575	Simplify	(2ab)^2(3a^2b^3)	${(2 a b)}^{2} (3 a^{2} b^{3})$
224576	Factor by Grouping	x^4-100y^2	$x^{4} - 100 y^{2}$
224577	Simplify	e^(2 natural log of 3)	$e^{2 \ln (3)}$
224578	Simplify	(x^2x^3)^0	${(x^{2} x^{3})}^{0}$
224579	Simplify	( cube root of 64m^3)( cube root of 15m^6)	$(\sqrt[3]{64 m^{3}}) (\sqrt[3]{15 m^{6}})$
224580	Simplify	(-80)(-41)(0)(-15)(-6)	$(- 80) (- 41) (0) (- 15) (- 6)$
224581	Divide	6/53/5	$\frac{6}{5} \cdot \frac{3}{5}$
224582	Find the Exact Value	2(x+3)	$2 (x + 3)$
224583	Solve for x	(5x+3)^2=5(x+3)	${(5 x + 3)}^{2} = 5 (x + 3)$
224584	Graph	\|2x-y\|+\|x+y\|<=6	$\| 2 x - y \| + \| x + y \| \leq 6$
224585	Graph	y<3x 2 y>=3x-4	$y < 3 x$ $2$ $y \geq 3 x - 4$
224586	Simplify	(5ab)/(3a^2b^3)+(5ab)/(2a^4b^2)+(5ab)/(4ab)	$\frac{5 a b}{3 a^{2} b^{3}} + \frac{5 a b}{2 a^{4} b^{2}} + \frac{5 a b}{4 a b}$
224587	Solve the Inequality for x	4x^2+1>=4x	$4 x^{2} + 1 \geq 4 x$
224588	Simplify	( square root of 18+ square root of -12)+(4 square root of 2- square root of -3)	$(\sqrt{18} + \sqrt{- 12}) + (4 \sqrt{2} - \sqrt{- 3})$
224589	Evaluate	Find the value of cube root of 8	Find the value of $\sqrt[3]{8}$
224590	Solve for x	\|x+1\|+\|2x+3\|=5	$\| x + 1 \| + \| 2 x + 3 \| = 5$
224591	Simplify	square root of 4+ square root of 7* square root of 4- square root of 7	$\sqrt{4 + \sqrt{7}} \cdot \sqrt{4 - \sqrt{7}}$
224592	Simplify	(2+- square root of 4-(4)6-5)/12	$\frac{2 + - \sqrt{4 - (4) \cdot 6 \cdot - 5}}{12}$
224593	Simplify the Radical Expression	cd cube root of -80c	$c d \sqrt[3]{- 80 c}$
224594	Simplify	(30x^7y^-3)/(5x^4y^2)*(x^-5)/(y^-8)	$\frac{30 x^{7} y^{- 3}}{5 x^{4} y^{2}} \cdot \frac{x^{- 5}}{y^{- 8}}$
224595	Divide	((x^2+5x-36)/(x+5))÷((x^2-16)/(x+4))	$\frac{x^{2} + 5 x - 36}{x + 5} \div \frac{x^{2} - 16}{x + 4}$
224596	Simplify	(n+(n+1))^2	${(n + (n + 1))}^{2}$
224597	Write in Slope-Intercept Form	2x+3y-4=x+5	$2 x + 3 y - 4 = x + 5$
224598	Simplify	(-x^9y^2)(10y^5)(3x^-3y^-8)	$(- x^{9} y^{2}) (10 y^{5}) (3 x^{- 3} y^{- 8})$
224599	Simplify	(x+y-1)^3	${(x + y - 1)}^{3}$
224600	Graph	f(x)=(-5x^2+20)/(3x^2-6x)	$f (x) = \frac{- 5 x^{2} + 20}{3 x^{2} - 6 x}$