Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
226801	Multiply	(x-4)/(2x-18)*(x^2-7x-18)/(x^2-16)	$\frac{x - 4}{2 x - 18} \cdot \frac{x^{2} - 7 x - 18}{x^{2} - 16}$
226802	Simplify	5(x+3)(x+2)-3(x^2+2x+1)	$5 (x + 3) (x + 2) - 3 (x^{2} + 2 x + 1)$
226803	Simplify	cube root of square root of fourth root of h	$\sqrt[3]{\sqrt{\sqrt[4]{h}}}$
226804	Simplify	square root of 2*1	$\sqrt{2} \cdot 1$
226805	Evaluate	i^8*i^60	$i^{8} \cdot i^{60}$
226806	Evaluate	2pi(4.5)(11)	$2 π (4.5) (11)$
226807	Solve for x	1/(2x)-(x-1)/(2x^2)=3/x	$\frac{1}{2 x} - \frac{x - 1}{2 x^{2}} = \frac{3}{x}$
226808	Solve for t	r=r_0+1/2at^2	$r = r_{0} + \frac{1}{2} a t^{2}$
226809	Find the Exact Value	csc((-pi)/3)	$\csc (\frac{- π}{3})$
226810	Simplify	(p^2r^0)/(p^0r^3)	$\frac{p^{2} r^{0}}{p^{0} r^{3}}$
226811	Solve Using the Quadratic Formula	4x^2=x	$4 x^{2} = x$
226812	Find the Axis of Symmetry	x=3(y+4)^2-9	$x = 3 {(y + 4)}^{2} - 9$
226813	Evaluate	21+74*10^(-0.03(10))	$21 + 74 \cdot 10^{- 0.03 (10)}$
226814	Multiply	5x^2+x and 4x^3+2x^2-4x	$5 x^{2} + x$ and $4 x^{3} + 2 x^{2} - 4 x$
226815	Find the Degree	(p^5q^4)/9+q	$\frac{p^{5} q^{4}}{9} + q$
226816	Solve the System of Equations	x-2y=-19 and -3x+5y=48	$x - 2 y = - 19$ and $- 3 x + 5 y = 48$
226817	Convert to a Decimal	When I am divided into 16 I have a remainder of 2 What possible numbers can I be?	When I am divided into $16$ I have a remainder of $2$ What possible numbers can I be?
226818	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-4,2) and has a slope of -5/4 ?	What is the equation of the line that passes through the point $(- 4, 2)$ and has a slope of $- \frac{5}{4}$ ?
226819	Write in Standard Form	y+1=-2x-3	$y + 1 = - 2 x - 3$
226820	Divide Using Long Polynomial Division	Use the long division method to find the result when 12x^3+26x^2+15x+2 is divided by 3x+2	Use the long division method to find the result when $12 x^{3} + 26 x^{2} + 15 x + 2$ is divided by $3 x + 2$
226821	Solve for x	fourth root of 3x=12	$\sqrt[4]{3 x} = 12$
226822	Graph	(negative infinity,6] intersect (2,10)	$(- \infty, 6] \cap (2, 10)$
226823	Find the x and y Intercepts	f(x)=x^5-7x^4+x^3-7x^2	$f (x) = x^{5} - 7 x^{4} + x^{3} - 7 x^{2}$
226824	Simplify	((2a^-2)/(4b^2))^0	${(\frac{2 a^{- 2}}{4 b^{2}})}^{0}$
226825	Evaluate	6(x-5)>13	$6 (x - 5) > 13$
226826	Simplify	( square root of 32x^9y^2)/( square root of 2xy^-2)	$\frac{\sqrt{32 x^{9} y^{2}}}{\sqrt{2 x y^{- 2}}}$
226827	Simplify	(2x)/(x^2+x-2)-5/(3x+6)	$\frac{2 x}{x^{2} + x - 2} - \frac{5}{3 x + 6}$
226828	Graph	4x-y>=4 and y<2	$4 x - y \geq 4$ and $y < 2$
226829	Simplify	-(12h^-4)/((4h^-5)^4)	$- \frac{12 h^{- 4}}{{(4 h^{- 5})}^{4}}$
226830	Simplify	2x^2+6y^2-4y+5y^2+5x^2	$2 x^{2} + 6 y^{2} - 4 y + 5 y^{2} + 5 x^{2}$
226831	Graph	y+x=4x+5	$y + x = 4 x + 5$
226832	Simplify	-3^-1x^-1	$- 3^{- 1} x^{- 1}$
226833	Find the Exact Value	sin((18pi)/4)	$\sin (\frac{18 π}{4})$
226834	Solve the Inequality for m	2^(3m-4)>4	$2^{3 m - 4} > 4$
226835	Solve for t	1/7(t-9)=4	$\frac{1}{7} (t - 9) = 4$
226836	Graph	-8<=2/5(k-2)	$- 8 \leq \frac{2}{5} (k - 2)$
226837	Find the Excluded Values	-1/((x+3)(x-4))=1/(2x+1)	$\frac{- 1}{(x + 3) (x - 4)} = \frac{1}{2 x + 1}$
226838	Simplify	3 log base 3 of 27	$3 \log_{3} (27)$
226839	Solve for n	(x^2)^n*x^3=x^9	${(x^{2})}^{n} \cdot x^{3} = x^{9}$
226840	Find the Exact Value	\|5\|-\|-5\|-(-5)	$\| 5 \| - \| - 5 \| - (- 5)$
226841	Simplify	(3x1/4)/(9x4/3)	$\frac{3 x \frac{1}{4}}{9 x \frac{4}{3}}$
226842	Multiply	-1/2*2/1	$- \frac{1}{2} \cdot \frac{2}{1}$
226843	Find the Degree, Leading Term, and Leading Coefficient	-7y-4z^5-6z^3x^4	$- 7 y - 4 z^{5} - 6 z^{3} x^{4}$
226844	Simplify	((x^(-1/2)y^(4/5))/(x^(2/3)y^(1/3)))^3	${(\frac{x^{- \frac{1}{2}} y^{\frac{4}{5}}}{x^{\frac{2}{3}} y^{\frac{1}{3}}})}^{3}$
226845	Simplify	square root of -64	$\sqrt[2]{- 64}$
226846	Simplify	(10^(3/4)*4^(3/4))^-4	${(10^{\frac{3}{4}} \cdot 4^{\frac{3}{4}})}^{- 4}$
226847	Simplify the Radical Expression	( fifth root of a^11)/( square root of a)	$\frac{\sqrt[5]{a^{11}}}{\sqrt{a}}$
226848	Solve by Factoring	x^4+3=13-9x^4	$x^{4} + 3 = 13 - 9 x^{4}$
226849	Simplify	(1/2)/(1/4)	$\frac{\frac{1}{2}}{\frac{1}{4}}$
226850	Graph	y=(x+2)(2x+1)(x+3)	$y = (x + 2) (2 x + 1) (x + 3)$
226851	Solve the Inequality for p	-18<=-3p	$- 18 \leq - 3 p$
226852	Solve the Inequality for x	3/4<=x-7/8<5/6	$\frac{3}{4} \leq x - \frac{7}{8} < \frac{5}{6}$
226853	Solve for x	2/5x-4=8-3/5x	$\frac{2}{5} x - 4 = 8 - \frac{3}{5} x$
226854	Solve for x	x-2(2-3/2x)=2(4-x)+10	$x - 2 (2 - \frac{3}{2} x) = 2 (4 - x) + 10$
226855	Simplify	1/3 square root of 15* square root of 6	$\frac{1}{3} \sqrt{15} \cdot \sqrt{6}$
226856	Find the Degree, Leading Term, and Leading Coefficient	f(x)=4x^2+x-8x^3+6x^7-1	$f (x) = 4 x^{2} + x - 8 x^{3} + 6 x^{7} - 1$
226857	Evaluate	2 natural log of e-4 natural log of 1+3 log base 2 of 2+1/2 log base 6 of 1	$2 \ln (e) - 4 \ln (1) + 3 \log_{2} (2) + \frac{1}{2} \log_{6} (1)$
226858	Solve for x	9^(3x-5)<2	$9^{3 x - 5} < 2$
226859	Graph	y>=3x-2 and y<=1/2x+3	$y \geq 3 x - 2$ and $y \leq \frac{1}{2} x + 3$
226860	Solve by Graphing	x-2y=6 y=2x	$x - 2 y = 6$ $y = 2 x$
226861	Factor	(x-2y)^2-3x(x-2y)	${(x - 2 y)}^{2} - 3 x (x - 2 y)$
226862	Solve the System of Equations	-5x+2y-5z=-4 y-5z=-7 -4x+2y+5z=5	$- 5 x + 2 y - 5 z = - 4$ $y - 5 z = - 7$ $- 4 x + 2 y + 5 z = 5$
226863	Simplify	sin(x)(sec(x)-csc(x))	$\sin (x) (\sec (x) - \csc (x))$
226864	Find the Exact Value	log base 125 of 1/25	$\log_{125} (\frac{1}{25})$
226865	Find the Degree, Leading Term, and Leading Coefficient	p(x)=(x+1)(x-2)(x-4)	$p (x) = (x + 1) (x - 2) (x - 4)$
226866	Solve the Inequality for y	\|y-20\|<4	$\| y - 20 \| < 4$
226867	Solve the Inequality for a	a+1<=3	$a + 1 \leq 3$
226868	Solve for x	sec(x)tan(x) = square root of 2	$\sec (x) \tan (x) = \sqrt{2}$
226869	Determine if Parallel	Are the lines defined by the equations y=x+3 and y=2x+3 parallel?	Are the lines defined by the equations $y = x + 3$ and $y = 2 x + 3$ parallel?
226870	Simplify	(4 cube root of 4m^2)(5m cube root of 2m^2)	$(4 \sqrt[3]{4 m^{2}}) (5 m \sqrt[3]{2 m^{2}})$
226871	Simplify	9+2(x+7)+7(y+2)	$9 + 2 (x + 7) + 7 (y + 2)$
226872	Simplify	3/(x+6)+x/(x^2+x-30)	$\frac{3}{x + 6} + \frac{x}{x^{2} + x - 30}$
226873	Describe the Transformation	f(x) = cube root of x , g(x)=-2 cube root of x	$f (x) = \sqrt[3]{x}$ , $g (x) = - 2 \sqrt[3]{x}$
226874	Solve for u	12/7=6u	$\frac{12}{7} = 6 u$
226875	Simplify	(2 square root of x)/( square root of x)	$\frac{2 \sqrt{x}}{\sqrt{x}}$
226876	Evaluate	4x^0+5	$4 x^{0} + 5$
226877	Evaluate	-4+x<=9	$- 4 + x \leq 9$
226878	Graph Using a Table of Values	y = cube root of x+1	$y = \sqrt[3]{x + 1}$
226879	Solve the Inequality for c	2(5c-4)>=5(2c+8)	$2 (5 c - 4) \geq 5 (2 c + 8)$
226880	Simplify	(4-8x)/(-28x+14)	$\frac{4 - 8 x}{- 28 x + 14}$
226881	Write in Standard Form	(x^2-2y)(x^2+2y)	$(x^{2} - 2 y) (x^{2} + 2 y)$
226882	Evaluate	cube root of (27a^3)/(b^6)	$\sqrt[3]{\frac{27 a^{3}}{b^{6}}}$
226883	Find the Product	(4y^a-6x^b)(4y^a+6x^b)	$(4 y^{a} - 6 x^{b}) (4 y^{a} + 6 x^{b})$
226884	Simplify	cube root of 3x^3*x	$\sqrt[3]{3 x^{3} \cdot x}$
226885	Simplify	((6x)/7)÷(2/(5x))	$\frac{6 x}{7} \div \frac{2}{5 x}$
226886	Simplify	((a^2)/(2^b))^4	${(\frac{a^{2}}{2^{b}})}^{4}$
226887	Simplify	2 1/3-6x+4 1/3-3x	$2 \frac{1}{3} - 6 x + 4 \frac{1}{3} - 3 x$
226888	Evaluate	2pi*2/3	$2 π \cdot \frac{2}{3}$
226889	Solve the Inequality for n	2\|3n+3\|<12	$2 \| 3 n + 3 \| < 12$
226890	Simplify	(4^-8)/(4^-7)*4^0	$\frac{4^{- 8}}{4^{- 7}} \cdot 4^{0}$
226891	Simplify	cube root of 4 sixth root of 64	$\sqrt[3]{4 \sqrt[6]{64}}$
226892	Simplify	(x^2-2)/(x(x-1)^2)+(2-x)/(x(x-1)^2)	$\frac{x^{2} - 2}{x {(x - 1)}^{2}} + \frac{2 - x}{x {(x - 1)}^{2}}$
226893	Convert to Interval Notation	x<1 and x>-3	$x < 1$ and $x > - 3$
226894	Solve the System of Inequalities	-4x-3<=2x+9 and -3x+2>-2x+5	$- 4 x - 3 \leq 2 x + 9$ and $- 3 x + 2 > - 2 x + 5$
226895	Simplify	(xy)/y	$\frac{x y}{y}$
226896	Solve by Substitution	x=5y+2 x-4y=5	$x = 5 y + 2$ $x - 4 y = 5$
226897	Solve the System of Inequalities	x<2 and x>-3	$x < 2$ and $x > - 3$
226898	Simplify	8x^8y^6z5x^5y^3z^24x^3y^4z^2	$8 x^{8} y^{6} z \cdot 5 x^{5} y^{3} z^{2} \cdot 4 x^{3} y^{4} z^{2}$
226899	Evaluate	(27÷3)*(5+9)	$(27 \div 3) \times (5 + 9)$
226900	Divide	(4+4i)/(-2-8i)	$\frac{4 + 4 i}{- 2 - 8 i}$