Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
224501	Multiply	2^92^22^4	$2^{9} \cdot 2^{2} \cdot 2^{4}$
224502	Find the Roots (Zeros)	3x^6+2x^4-x^3+7	$3 x^{6} + 2 x^{4} - x^{3} + 7$
224503	Simplify	6*5-(4^2)÷2	$6 \cdot 5 - 4^{2} \div 2$
224504	Solve the Inequality for s	2s+3>15	$2 s + 3 > 15$
224505	Find the Product	(z-5/3)(z-2/3)	$(z - \frac{5}{3}) (z - \frac{2}{3})$
224506	Graph	y>2x-4 4y-x<=16	$y > 2 x - 4$ $4 y - x \leq 16$
224507	Evaluate	((16x^-4)^2)/((4x^-2)^3)	$\frac{{(16 x^{- 4})}^{2}}{{(4 x^{- 2})}^{3}}$
224508	Simplify	(28 cube root of -16m^6)/(4 cube root of 2m)	$\frac{28 \sqrt[3]{- 16 m^{6}}}{4 \sqrt[3]{2 m}}$
224509	Find All Complex Solutions	\|3-x\|-\|x+2\|=5	$\| 3 - x \| - \| x + 2 \| = 5$
224510	Solve the System of Equations	2x+2y=12 x+y=6	$2 x + 2 y = 12$ $x + y = 6$
224511	Divide	(-6-4)÷(-5)	$(- 6 - 4) \div (- 5)$
224512	Divide Using Long Polynomial Division	Use the long division method to find the result when 8x^3+24x^2+24x+7 is divided by 2x+1	Use the long division method to find the result when $8 x^{3} + 24 x^{2} + 24 x + 7$ is divided by $2 x + 1$
224513	Evaluate	-cos(pi/4)-sin(pi/4)	$- \cos (\frac{π}{4}) - \sin (\frac{π}{4})$
224514	Describe the Transformation	y=-3 cube root of x-1	$y = - 3 \sqrt[3]{x} - 1$
224515	Solve for x	(2^x-3)(2^x-4)=0	$(2^{x} - 3) (2^{x} - 4) = 0$
224516	Simplify	(-9a^4-9a^3-4a^2)÷9a	$(- 9 a^{4} - 9 a^{3} - 4 a^{2}) \div 9 a$
224517	Solve for x	x+3 = square root of x^2+5	$x + 3 = \sqrt{x^{2} + 5}$
224518	Solve for w	525=w^2+4w	$525 = w^{2} + 4 w$
224519	Convert to a Decimal	The fraction -3/5 written as a decimal is	The fraction $- \frac{3}{5}$ written as a decimal is
224520	Simplify	(27k^5m^8)/((4k^3)(9m^2))	$\frac{27 k^{5} m^{8}}{(4 k^{3}) (9 m^{2})}$
224521	Simplify	(xy)/(7x^-4y^-2)	$\frac{x y}{7 x^{- 4} y^{- 2}}$
224522	Solve for x	square root of x=y	$\sqrt{x} = y$
224523	Solve Using the Square Root Property	4x^2+27=x^2	$4 x^{2} + 27 = x^{2}$
224524	Graph	y>=-3x+7 y>1/2x y<2	$y \geq - 3 x + 7$ $y > \frac{1}{2} x$ $y < 2$
224525	Solve for Q	Q = cube root of 36^(2^-1)+125^(3^-1)-81^(2^-2)	$Q = \sqrt[3]{36^{2^{- 1}} + 125^{3^{- 1}} - 81^{2^{- 2}}}$
224526	Evaluate	(-11x^3y)^-2	${(- 11 x^{3} y)}^{- 2}$
224527	Evaluate	14-3x<-1	$14 - 3 x < - 1$
224528	Evaluate	(54^3125^28^2)/(6^3*30^6)	$\frac{54^{3} \cdot 125^{2} \cdot 8^{2}}{6^{3} \cdot 30^{6}}$
224529	Divide Using Long Polynomial Division	(x^4-13x-42)/(x^2-x-6)	$\frac{x^{4} - 13 x - 42}{x^{2} - x - 6}$
224530	Solve for x	y=2x^(1/3)	$y = 2 x^{\frac{1}{3}}$
224531	Solve the Inequality for x	x^2-48>-5x+2	$x^{2} - 48 > - 5 x + 2$
224532	Graph	f^-1(x)=1/(f(x))	$f^{- 1} (x) = \frac{1}{f (x)}$
224533	Simplify	( square root of y^(1/4))^8	${(\sqrt{y^{\frac{1}{4}}})}^{8}$
224534	Evaluate the Function	g(0)=0/( square root of 1-0^2)	$g (0) = \frac{0}{\sqrt{1 - 0^{2}}}$
224535	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 $1$ ?
224536	Determine if Dependent, Independent, or Inconsistent	3y=9x-6 2y+6x=4	$3 y = 9 x - 6$ $2 y + 6 x = 4$
224537	Simplify the Radical Expression	(4 square root of 5-1)(3+2 square root of 5)	$(4 \sqrt{5} - 1) (3 + 2 \sqrt{5})$
224538	Find the Distance Between Two Points	(6,-1) and (0,7)	$(6, - 1)$ and $(0, 7)$
224539	Find the Product	(x^2+3x-4)/(x^2+4x+4)*(2x^2+4x)/(x^2-4x+3)	$\frac{x^{2} + 3 x - 4}{x^{2} + 4 x + 4} \cdot \frac{2 x^{2} + 4 x}{x^{2} - 4 x + 3}$
224540	Write the Fraction in Simplest Form	((3s^5)^-4)/(6s^3j^-6)	$\frac{{(3 s^{5})}^{- 4}}{6 s^{3} j^{- 6}}$
224541	Evaluate the Function	f(x)=-4x^2+x+5 at x=1	$f (x) = - 4 x^{2} + x + 5$ at $x = 1$
224542	Factor	x^4+7x^3-18x^2-x^2-7x+18	$x^{4} + 7 x^{3} - 18 x^{2} - x^{2} - 7 x + 18$
224543	Graph	y<-5x+3y	$y < - 5 x + 3 y$
224544	Solve the System of Equations	y=x+4 y-4=x	$y = x + 4$ $y - 4 = x$
224545	Factor	p(x)=x^3+x^2+9x+9	$p (x) = x^{3} + x^{2} + 9 x + 9$
224546	Simplify	((x+1)/(x+1)*(x^2-1)/(4x^2-40x))÷((x^2+9x-10)/(x^2-100))	$\frac{x + 1}{x + 1} \cdot \frac{x^{2} - 1}{4 x^{2} - 40 x} \div \frac{x^{2} + 9 x - 10}{x^{2} - 100}$
224547	Simplify	(3xy^3)^3(2x)	${(3 x y^{3})}^{3} (2 x)$
224548	Graph	x-2y<-2 2x+y>3	$x - 2 y < - 2$ $2 x + y > 3$
224549	Graph	f(x)=-(3x-1)/(x-3)	$f (x) = - \frac{3 x - 1}{x - 3}$
224550	Solve for a	9x^2-24x+16=(ax-b)^2	$9 x^{2} - 24 x + 16 = {(a x - b)}^{2}$
224551	Describe the Transformation	g(x)=3(1/(x+1))-2	$g (x) = 3 (\frac{1}{x + 1}) - 2$
224552	Simplify	4/x-2/(x(x+1))-2/(x+1)	$\frac{4}{x} - \frac{2}{x (x + 1)} - \frac{2}{x + 1}$
224553	Multiply	(6mn-9)(m^2n-7)	$(6 m n - 9) (m^{2} n - 7)$
224554	Simplify	(4x^3+56x^2+160x)/(x+10)(81-x^2)/(-x-9)(3x)/(x^2-5x-36)	$\frac{4 x^{3} + 56 x^{2} + 160 x}{x + 10} \cdot \frac{81 - x^{2}}{- x - 9} \cdot \frac{3 x}{x^{2} - 5 x - 36}$
224555	Solve for x	-16+5x=4(3x+7)	$- 16 + 5 x = 4 (3 x + 7)$
224556	Simplify	tan(x)*tan(x)	$\tan (x) \cdot \tan (x)$
224557	Simplify the Radical Expression	(4 square root of 6)( square root of -5)	$(4 \sqrt{6}) (\sqrt{- 5})$
224558	Simplify	((x^2y^2z^2)^5)/((x^3y^3z^3)^7)	$\frac{{(x^{2} y^{2} z^{2})}^{5}}{{(x^{3} y^{3} z^{3})}^{7}}$
224559	Simplify	\|-1+i\|	$\| - 1 + i \|$
224560	Divide Using Long Polynomial Division	(x^3-3x^2+x-3)/(x^2+1)	$\frac{x^{3} - 3 x^{2} + x - 3}{x^{2} + 1}$
224561	Simplify	(-6^8)/(-6^5)	$\frac{- 6^{8}}{- 6^{5}}$
224562	Simplify	( cube root of 10)/( cube root of 625)	$\frac{\sqrt[3]{10}}{\sqrt[3]{625}}$
224563	Find the Exact Value	arcsin(cot((3pi)/4))	$\arcsin (\cot (\frac{3 π}{4}))$
224564	Find the Exact Value	tan(arcsin(3/5)-arctan(1/4))	$\tan (\arcsin (\frac{3}{5}) - \arctan (\frac{1}{4}))$
224565	Evaluate	cube root of x=3 cube root of 7	$\sqrt[3]{x} = 3 \sqrt[3]{7}$
224566	Find g(h(x))	g(x)=3x h(x)=x-4	$g (x) = 3 x$ $h (x) = x - 4$
224567	Solve for x	3^(8x^2+6x)-12=-81^(x^2+(3x)/4)	$3^{8 x^{2} + 6 x} - 12 = - 81^{x^{2} + \frac{3 x}{4}}$
224568	Solve for x	4(4+2x)-6(7x-10)=-80	$4 (4 + 2 x) - 6 (7 x - 10) = - 80$
224569	Find the Roots (Zeros)	-9x^2+12x-4=0	$- 9 x^{2} + 12 x - 4 = 0$
224570	Simplify	(4/(2y)-1/(2y))/(4/(2y)+3/y)	$\frac{\frac{4}{2 y} - \frac{1}{2 y}}{\frac{4}{2 y} + \frac{3}{y}}$
224571	Solve the Inequality for X	X^3-4X^2-X+4>=0	$X^{3} - 4 X^{2} - X + 4 \geq 0$
224572	Factor	factor 9y^2-25	factor $9 y^{2} - 25$
224573	Solve for x	x/(x+9)-1/(9-x)=(2x)/(x^2-81)	$\frac{x}{x + 9} - \frac{1}{9 - x} = \frac{2 x}{x^{2} - 81}$
224574	Solve the System of Equations	x+y=5 y=x+1	$x + y = 5$ $y = x + 1$
224575	Graph	(9-x)/7=y	$\frac{9 - x}{7} = y$
224576	Write in Standard Form	(x^2+2x-2)(x^2+x+10)	$(x^{2} + 2 x - 2) (x^{2} + x + 10)$
224577	Simplify	cube root of 64/(x^2)	$\sqrt[3]{\frac{64}{x^{2}}}$
224578	Evaluate	5/6*1/4+3/8	$\frac{5}{6} \cdot \frac{1}{4} + \frac{3}{8}$
224579	Simplify	1/(x^2-1)+2/(x^2+x)	$\frac{1}{x^{2} - 1} + \frac{2}{x^{2} + x}$
224580	Subtract	(x+7)/(x+5)-(7x)/(x^2-3x-40)	$\frac{x + 7}{x + 5} - \frac{7 x}{x^{2} - 3 x - 40}$
224581	Find the Product	(3xy)^2	${(3 x y)}^{2}$
224582	Solve for p	p-5(p+4)=p-(8-p)	$p - 5 (p + 4) = p - (8 - p)$
224583	Evaluate	((3 square root of 3)/2)^2	${(\frac{3 \sqrt{3}}{2})}^{2}$
224584	Write in y=mx+b Form	0=-3x-4-2y	$0 = - 3 x - 4 - 2 y$
224585	Solve the Rational Equation for x	square root of x/10 = square root of 3x-58	$\sqrt{\frac{x}{10}} = \sqrt{3 x - 58}$
224586	Factor	-45x^4+42x^3+1272x^2-1050x-3675	$- 45 x^{4} + 42 x^{3} + 1272 x^{2} - 1050 x - 3675$
224587	Evaluate	i^9i^25i^12*i^16	$i^{9} \cdot i^{25} \cdot i^{12} \cdot i^{16}$
224588	Simplify	(5x^4)/(5x^-3)	$\frac{5 x^{4}}{5 x^{- 3}}$
224589	Find the Holes in the Graph	f(x)=(2x^2+5x-3)/(x+3)	$f (x) = \frac{2 x^{2} + 5 x - 3}{x + 3}$
224590	Simplify	(2ab)^2(3a^2b^3)	${(2 a b)}^{2} (3 a^{2} b^{3})$
224591	Factor by Grouping	x^4-100y^2	$x^{4} - 100 y^{2}$
224592	Simplify	e^(2 natural log of 3)	$e^{2 \ln (3)}$
224593	Simplify	(x^2x^3)^0	${(x^{2} x^{3})}^{0}$
224594	Simplify	( cube root of 64m^3)( cube root of 15m^6)	$(\sqrt[3]{64 m^{3}}) (\sqrt[3]{15 m^{6}})$
224595	Simplify	(-80)(-41)(0)(-15)(-6)	$(- 80) (- 41) (0) (- 15) (- 6)$
224596	Divide	6/53/5	$\frac{6}{5} \cdot \frac{3}{5}$
224597	Find the Exact Value	2(x+3)	$2 (x + 3)$
224598	Solve for x	(5x+3)^2=5(x+3)	${(5 x + 3)}^{2} = 5 (x + 3)$
224599	Graph	\|2x-y\|+\|x+y\|<=6	$\| 2 x - y \| + \| x + y \| \leq 6$
224600	Graph	y<3x 2 y>=3x-4	$y < 3 x$ $2$ $y \geq 3 x - 4$