Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
176801	Factor by Grouping	2x^3-6x^2+5xy-15y	$2 x^{3} - 6 x^{2} + 5 x y - 15 y$
176802	Simplify	(3x^2-y^5)^2	${(3 x^{2} - y^{5})}^{2}$
176803	Solve for y	1=(y-6)/(3y)-(y^2-5y-24)/(3y)	$1 = \frac{y - 6}{3 y} - \frac{y^{2} - 5 y - 24}{3 y}$
176804	Graph	y=f''''(x)	$y = f'' (x)$
176805	Solve the System of Equations	2x+7y=13 -x+14y=-24	$2 x + 7 y = 13$ $- x + 14 y = - 24$
176806	Solve for a	( cube root of x)/(x^(1/3))=x^a	$\frac{\sqrt[3]{x}}{x^{\frac{1}{3}}} = x^{a}$
176807	Graph	y=x+1,x<2; x+2,x>=2	$y = {\begin{cases} x + 1, x < 2 \\ x + 2, x \geq 2 \end{cases}$
176808	Determine if a Polynomial	-2a^3b^3+(15c^3)/8z^3	$- 2 a^{3} b^{3} + \frac{15 c^{3}}{8} z^{3}$
176809	Simplify	7x-10x+8+9-9x	$7 x - 10 x + 8 + 9 - 9 x$
176810	Write in Standard Form	-9-x+x^2=-5x	$- 9 - x + x^{2} = - 5 x$
176811	Divide	(2b^2+b-8)/(2b)	$\frac{2 b^{2} + b - 8}{2 b}$
176812	Evaluate	-5/4+(-7/9)	$- \frac{5}{4} + (- \frac{7}{9})$
176813	Solve for x	x^6+36=100	$x^{6} + 36 = 100$
176814	Solve for v	51=7(-1+2v)+2	$51 = 7 (- 1 + 2 v) + 2$
176815	Solve the System of Equations	x-3y-z=9 -x+8y-4z=-24 2x-15y+7z=45	$x - 3 y - z = 9$ $- x + 8 y - 4 z = - 24$ $2 x - 15 y + 7 z = 45$
176816	Find All Complex Solutions	cos(x)^2+2cos(x)-3=0	$\cos^{2} (x) + 2 \cos (x) - 3 = 0$
176817	Solve Using the Quadratic Formula	2(x^2-6)+8=10	$2 (x^{2} - 6) + 8 = 10$
176818	Evaluate	1000(0.5)^(80/30)	$1000 {(0.5)}^{\frac{80}{30}}$
176819	Solve by Substitution	y=x -2x+4y=16	$y = x$ $- 2 x + 4 y = 16$
176820	Find the First Term	a_n=2(3)^(n-1)	$a_{n} = 2 {(3)}^{n - 1}$
176821	Find the Midpoint	(-6,-6) and (4,-2)	$(- 6, - 6)$ and $(4, - 2)$
176822	Solve for f	f+1/4=-7/2	$f + \frac{1}{4} = - \frac{7}{2}$
176823	Multiply	3x*3x^2	$3 x \cdot 3 x^{2}$
176824	Solve for x	(6x)/(x+6)-1=8/(x^2+6x)	$\frac{6 x}{x + 6} - 1 = \frac{8}{x^{2} + 6 x}$
176825	Solve Using the Quadratic Formula	1/x+1/(x-2)=1/4	$\frac{1}{x} + \frac{1}{x - 2} = \frac{1}{4}$
176826	Find the Exact Value	(-1/3)^3	${(- \frac{1}{3})}^{3}$
176827	Simplify	square root of 125x^6+10x square root of 5x^4	$\sqrt{125 x^{6}} + 10 x \sqrt{5 x^{4}}$
176828	Divide	7 1/4÷1 7/8	$7 \frac{1}{4} \div 1 \frac{7}{8}$
176829	Find the Axis of Symmetry	3x^2=-12y	$3 x^{2} = - 12 y$
176830	Find the Domain and Range	y=(2x)^(1/3)-7	$y = {(2 x)}^{\frac{1}{3}} - 7$
176831	Simplify	xy-(4x^5)/(x^2-xy)	$x y - \frac{4 x^{5}}{x^{2} - x y}$
176832	Find the Holes in the Graph	f(x)=(-3x^2-15x)/(x^2+7x+10)	$f (x) = \frac{- 3 x^{2} - 15 x}{x^{2} + 7 x + 10}$
176833	Simplify	tan(theta)^2*cot(theta)^2	$\tan^{2} (θ) \cdot \cot^{2} (θ)$
176834	Factor	4x^2-1/9y^2	$4 x^{2} - \frac{1}{9} y^{2}$
176835	Solve for z	2z^2=10	$2 z^{2} = 10$
176836	Graph Using a Table of Values	y=(x+3)^2	$y = {(x + 3)}^{2}$
176837	Find the Axis of Symmetry	y=(x+3)^2	$y = {(x + 3)}^{2}$
176838	Simplify	32/(12x^3)	$\frac{32}{12 x^{3}}$
176839	Simplify	((a^2b^3)^4)/((ab^-2)^-3)	$\frac{{(a^{2} b^{3})}^{4}}{{(a b^{- 2})}^{- 3}}$
176840	Describe the Transformation	h(x)=-x^2	$h (x) = - x^{2}$
176841	Divide	(3x^2)/(3x)	$\frac{3 x^{2}}{3 x}$
176842	Simplify	(5^2)^-1	${(5^{2})}^{- 1}$
176843	Solve the Absolute Value Inequality for x	\|x-1\|=8	$\| x - 1 \| = 8$
176844	Find the Product	(7r^2-6r-6)(2r-4)	$(7 r^{2} - 6 r - 6) (2 r - 4)$
176845	Find the Perfect Square Trinomial	9x^2+12x+4	$9 x^{2} + 12 x + 4$
176846	Factor	(4x^2-1)	$(4 x^{2} - 1)$
176847	Find the Exact Value	log base 11 of 121	$\log_{11} (121)$
176848	Solve for x	-4>=10-7x	$- 4 \geq 10 - 7 x$
176849	Evaluate	square root of (x-3)^2-8(x-3)	$\sqrt{{(x - 3)}^{2} - 8 (x - 3)}$
176850	Find the Product	(3x-4)(4x+3)	$(3 x - 4) (4 x + 3)$
176851	Simplify	(625^2)^(1/8)	${(625^{2})}^{\frac{1}{8}}$
176852	Solve for g	2/5(g-7)=3	$\frac{2}{5} (g - 7) = 3$
176853	Solve the Inequality for p	4p+4>=12	$4 p + 4 \geq 12$
176854	Simplify	-1/6	$\frac{- 1}{6}$
176855	Solve for k	8-3k=12	$8 - 3 k = 12$
176856	Graph	f(x)=1/4 cube root of x	$f (x) = \frac{1}{4} \sqrt[3]{x}$
176857	Divide	(x^3)/(x-1)	$\frac{x^{3}}{x - 1}$
176858	Solve for x	2^(-x)*2^(3x)=64	$2^{- x} \cdot 2^{3 x} = 64$
176859	Solve for x	2/3(x-18y)=6y	$\frac{2}{3} (x - 18 y) = 6 y$
176860	Simplify	(4xy^-2)/(-3yx^2*-2y^0)	$\frac{4 x y^{- 2}}{- 3 y x^{2} \cdot - 2 y^{0}}$
176861	Write in Standard Form	3x^2-2x=-5-2x^2	$3 x^{2} - 2 x = - 5 - 2 x^{2}$
176862	Graph	y=-e^(x-6)	$y = - e^{x - 6}$
176863	Write in Exponential Form	(5^2)(5^8)	$(5^{2}) (5^{8})$
176864	Solve for n	16=-(2+n)	$16 = - (2 + n)$
176865	Simplify	-(7)^0	$- {(7)}^{0}$
176866	Solve for x	1/(x-1)+1/(x+1)=(4x+2)/(x^2-1)	$\frac{1}{x - 1} + \frac{1}{x + 1} = \frac{4 x + 2}{x^{2} - 1}$
176867	Solve for f	1/3(3/4f+3)-2=1/2(2f-4)	$\frac{1}{3} (\frac{3}{4} f + 3) - 2 = \frac{1}{2} (2 f - 4)$
176868	Multiply	5 1/6*(-2/5)	$5 \frac{1}{6} \cdot (- \frac{2}{5})$
176869	Simplify	((x^2+3x-10)/(x^2-2x-15))÷((x^2+x-6)/(x^2+6x+9))	$\frac{x^{2} + 3 x - 10}{x^{2} - 2 x - 15} \div \frac{x^{2} + x - 6}{x^{2} + 6 x + 9}$
176870	Simplify	4(x-5)(x^2+x+2)	$4 (x - 5) (x^{2} + x + 2)$
176871	Simplify	x square root of 54x^6y^5	$x \sqrt{54 x^{6} y^{5}}$
176872	Graph Using a Table of Values	g(x)=10^x	$g (x) = 10^{x}$
176873	Solve the Inequality for x	x-1<=-9	$x - 1 \leq - 9$
176874	Simplify	x^2y^2 square root of 108x^4y^3	$x^{2} y^{2} \sqrt{108 x^{4} y^{3}}$
176875	Find the Holes in the Graph	f(x)=(x^2-7x)/(x^2-17x+72)	$f (x) = \frac{x^{2} - 7 x}{x^{2} - 17 x + 72}$
176876	Graph	2n-3>=5n-6	$2 n - 3 \geq 5 n - 6$
176877	Simplify the Radical Expression	2/( square root of 5)	$\frac{2}{\sqrt{5}}$
176878	Graph	(y+1)^2=x-4	${(y + 1)}^{2} = x - 4$
176879	Solve for y	square root of y- square root of 7 = square root of y+7	$\sqrt{y} - \sqrt{7} = \sqrt{y + 7}$
176880	Solve for a	x^3x^(3/5)=x^a	$x^{3} x^{\frac{3}{5}} = x^{a}$
176881	Find the Roots (Zeros)	2x^2+5x-6=-3	$2 x^{2} + 5 x - 6 = - 3$
176882	Find the Inverse	y=(1/2)^x	$y = {(\frac{1}{2})}^{x}$
176883	Solve for x	4.5(8-x)+36=102-2.5(3x+24)	$4.5 (8 - x) + 36 = 102 - 2.5 (3 x + 24)$
176884	Solve for t	S=1/2(V_0+V_1)t	$S = \frac{1}{2} (V_{0} + V_{1}) t$
176885	Graph	y^2+4x-14y=-53	$y^{2} + 4 x - 14 y = - 53$
176886	Subtract	7/2-1/2	$\frac{7}{2} - \frac{1}{2}$
176887	Simplify	((z^2)/(5^4))^4	${(\frac{z^{2}}{5^{4}})}^{4}$
176888	Solve the Inequality for x	x^2+6x+9<0	$x^{2} + 6 x + 9 < 0$
176889	Simplify	(7a^2b^3+5x^4)^2	${(7 a^{2} b^{3} + 5 x^{4})}^{2}$
176890	Simplify	(3-2i)/(4-3i)	$\frac{3 - 2 i}{4 - 3 i}$
176891	Find the Product	(3x-8)^2	${(3 x - 8)}^{2}$
176892	Combine Like Terms	(7m^6+6)(7m^6-6)	$(7 m^{6} + 6) (7 m^{6} - 6)$
176893	Solve for y	y = square root of 2+14	$y = \sqrt{2 + 14}$
176894	Find the Excluded Values	(x^2+3x-4)/(x^2+4x+4)*(2x^2+4x)/(x^2-4x+3)	$\frac{x^{2} + 3 x - 4}{x^{2} + 4 x + 4} \cdot \frac{2 x^{2} + 4 x}{x^{2} - 4 x + 3}$
176895	Solve for x	(x+1)/(2x+6)-9/(x^2-9)=(x-2)/(2x-6)	$\frac{x + 1}{2 x + 6} - \frac{9}{x^{2} - 9} = \frac{x - 2}{2 x - 6}$
176896	Divide	(x^3y^2+x^4y^2+x^5y^2)/(x^6y)	$\frac{x^{3} y^{2} + x^{4} y^{2} + x^{5} y^{2}}{x^{6} y}$
176897	Simplify	(-bc+3b-4c)+(bc+3b+4c)	$(- b c + 3 b - 4 c) + (b c + 3 b + 4 c)$
176898	Solve for x	6x^2+7x+9=11x^2	$6 x^{2} + 7 x + 9 = 11 x^{2}$
176899	Solve for x	10^x+5=60	$10^{x} + 5 = 60$
176900	Factor	12c^2d^2-24cd^2+6c^3d^2	$12 c^{2} d^{2} - 24 c d^{2} + 6 c^{3} d^{2}$