Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
188801	Factor	2/6x^2y^2+4/9x^3yz+8/15xyw	$\frac{2}{6} x^{2} y^{2} + \frac{4}{9} x^{3} y z + \frac{8}{15} x y w$
188802	Simplify	6/( square root of 5- square root of 2)	$\frac{6}{\sqrt{5} - \sqrt{2}}$
188803	Solve the System of Equations	x+4y=7 8y=14-2x	$x + 4 y = 7$ $8 y = 14 - 2 x$
188804	Simplify	(-7n^2)/(-14n^2-35n)	$\frac{- 7 n^{2}}{- 14 n^{2} - 35 n}$
188805	Evaluate	8(10-6q)+3(-7q-2)	$8 (10 - 6 q) + 3 (- 7 q - 2)$
188806	Solve for h	h-(-2)>=10	$h - (- 2) \geq 10$
188807	Graph	1/3x-1/6y=-2/3	$\frac{1}{3} x - \frac{1}{6} y = - \frac{2}{3}$
188808	Simplify	((x+8)/(x^2-6x-7))/((x^2+16x+64)/(x+1))	$\frac{\frac{x + 8}{x^{2} - 6 x - 7}}{\frac{x^{2} + 16 x + 64}{x + 1}}$
188809	Simplify	(6x^3y)/(y^2)*(x^2y^4)/(3xy)	$\frac{6 x^{3} y}{y^{2}} \cdot \frac{x^{2} y^{4}}{3 x y}$
188810	Simplify	((2-2^2)^3)/2	$\frac{{(2 - 2^{2})}^{3}}{2}$
188811	Simplify	(1/(2x)+2/(3x))/((x-1)/(x-3))	$\frac{\frac{1}{2 x} + \frac{2}{3 x}}{\frac{x - 1}{x - 3}}$
188812	Factor	36x-13x^3+x^5	$36 x - 13 x^{3} + x^{5}$
188813	Solve for a	2a+3=1/2(6+4a)	$2 a + 3 = \frac{1}{2} (6 + 4 a)$
188814	Find g(f(x))	f(x)=5x-1 and g(x)=4x^2-3	$f (x) = 5 x - 1$ and $g (x) = 4 x^{2} - 3$
188815	Simplify	((pg^3)^(1/2))/((pg)^(-1/2))	$\frac{{(p g^{3})}^{\frac{1}{2}}}{{(p g)}^{- \frac{1}{2}}}$
188816	Write in Slope-Intercept Form	(-8,1) , (-8,7)	$(- 8, 1)$ , $(- 8, 7)$
188817	Graph	-4x+7>x-13	$- 4 x + 7 > x - 13$
188818	Evaluate	(0!)÷(1!)	$0! \div 1!$
188819	Find the Holes in the Graph	f(x)=(x^2-16)/(2x+8)	$f (x) = \frac{x^{2} - 16}{2 x + 8}$
188820	Simplify the Radical Expression	square root of 3/4	$\sqrt{\frac{3}{4}}$
188821	Graph	-10+x>-3	$- 10 + x > - 3$
188822	Solve for x	2(2)^x=1/8	$2 {(2)}^{x} = \frac{1}{8}$
188823	Simplify	(11a-b+c)+(-8a-c)	$(11 a - b + c) + (- 8 a - c)$
188824	Simplify	11-(-4(x-11))/4	$11 - \frac{- 4 (x - 11)}{4}$
188825	Find the Roots (Zeros)	y=1/4x^3(x^2-9)	$y = \frac{1}{4} x^{3} (x^{2} - 9)$
188826	Find the End Behavior	f(x)=-205x^2+5x^4+750x-30x^3+2000	$f (x) = - 205 x^{2} + 5 x^{4} + 750 x - 30 x^{3} + 2000$
188827	Solve for y	20y^2-20y-5=y	$20 y^{2} - 20 y - 5 = y$
188828	Divide Using Long Polynomial Division	(2x^3-5x-7)÷(x-2)	$(2 x^{3} - 5 x - 7) \div (x - 2)$
188829	Graph	p(x)=(x-1)^2(x-4)(2x+3)^2	$p (x) = {(x - 1)}^{2} (x - 4) {(2 x + 3)}^{2}$
188830	Solve for x	3x-2x=-4x+4	$3 x - 2 x = - 4 x + 4$
188831	Solve for a	-7=(\|a-3\|)/-2	$- 7 = \frac{\| a - 3 \|}{- 2}$
188832	Multiply	(3x)(x)	$(3 x) (x)$
188833	Multiply	square root of 3( square root of 6+a)	$\sqrt{3} (\sqrt{6} + a)$
188834	Write in Standard Form	6x-8x^4-x-5x^4	$6 x - 8 x^{4} - x - 5 x^{4}$
188835	Simplify	-3 square root of 80x^5+x^2 square root of 20x	$- 3 \sqrt{80 x^{5}} + x^{2} \sqrt{20 x}$
188836	Solve for x	-(x+4)+5=4x+1-5x	$- (x + 4) + 5 = 4 x + 1 - 5 x$
188837	Solve the Absolute Value Inequality for x	9x-7i>3(3x-7u)	$9 x - 7 i > 3 (3 x - 7 u)$
188838	Find the Quadratic Equation Given the Roots	2 and 3	$2$ and $3$
188839	Find the Midpoint	(2,4) and (-5,5)	$(2, 4)$ and $(- 5, 5)$
188840	Graph	f(x)=1/2x^2+2x	$f (x) = \frac{1}{2} x^{2} + 2 x$
188841	Write in Standard Form	square root of -6 square root of -3	$\sqrt{- 6} \sqrt{- 3}$
188842	Simplify	(8v)/(28w+21)-(3v+10)/(4w+3)	$\frac{8 v}{28 w + 21} - \frac{3 v + 10}{4 w + 3}$
188843	Find the Exact Value	1/(-( square root of 2)/2)	$\frac{1}{- \frac{\sqrt{2}}{2}}$
188844	Simplify the Radical Expression	((8^-5)/(2^-2))^-4	${(\frac{8^{- 5}}{2^{- 2}})}^{- 4}$
188845	Solve for x	2x+7+(3-y)i=-4+6i	$2 x + 7 + (3 - y) i = - 4 + 6 i$
188846	Simplify	5/(2e^2)-15/(4e)	$\frac{5}{2 e^{2}} - \frac{15}{4 e}$
188847	Graph	g(x)=1/5 square root of x	$g (x) = \frac{1}{5} \sqrt{x}$
188848	Simplify	(3x^2+xy-5y^2)+(2x^2-xy+3y^2)	$(3 x^{2} + x y - 5 y^{2}) + (2 x^{2} - x y + 3 y^{2})$
188849	Solve for x	4x^2-30x=12+10x	$4 x^{2} - 30 x = 12 + 10 x$
188850	Solve for x	(x-1)/3=k	$\frac{x - 1}{3} = k$
188851	Simplify	(2x^3-32x)/(2x^3+16x^2+32x)	$\frac{2 x^{3} - 32 x}{2 x^{3} + 16 x^{2} + 32 x}$
188852	Graph Using a Table of Values	y=x^2+2x-8	$y = x^{2} + 2 x - 8$
188853	Solve for n	3n-15=7n+n	$3 n - 15 = 7 n + n$
188854	Solve the Inequality for r	r/3>6	$\frac{r}{3} > 6$
188855	Find the Exact Value	1-3/4	$1 - \frac{3}{4}$
188856	Solve the Inequality for w	16w>=15w-8	$16 w \geq 15 w - 8$
188857	Solve for h	h=50-35/5	$h = 50 - \frac{35}{5}$
188858	Solve for x	5/(x+3)+3/(x-3)=x/(x-3)	$\frac{5}{x + 3} + \frac{3}{x - 3} = \frac{x}{x - 3}$
188859	Solve for x	-36x^2+100=0	$- 36 x^{2} + 100 = 0$
188860	Graph	y=3x-6 y=-1/2x+8	$y = 3 x - 6$ $y = - \frac{1}{2} x + 8$
188861	Subtract	(-2x^2+9)-(-2x^2-6x+10)	$(- 2 x^{2} + 9) - (- 2 x^{2} - 6 x + 10)$
188862	Find the Exact Value	sec(15 degrees )	$\sec (15 °)$
188863	Solve the System of Equations	y=9+3z y=58-4z	$y = 9 + 3 z$ $y = 58 - 4 z$
188864	Find the Product	6(-3m)^4	$6 {(- 3 m)}^{4}$
188865	Multiply	(x-2)/(x^2-4x+4)*(x^2-x-2)/(x^2+4x+3)	$\frac{x - 2}{x^{2} - 4 x + 4} \cdot \frac{x^{2} - x - 2}{x^{2} + 4 x + 3}$
188866	Graph	Find f(2)	Find $f (2)$
188867	Divide	((x-1)/(x+1))÷((1-x)/(x^2+2x+1))	$\frac{x - 1}{x + 1} \div \frac{1 - x}{x^{2} + 2 x + 1}$
188868	Find the Inverse	f(x)=8(x+9)^(1/7)	$f (x) = 8 {(x + 9)}^{\frac{1}{7}}$
188869	Solve for C	C=5/9(59-32)	$C = \frac{5}{9} (59 - 32)$
188870	Evaluate	f(2)=5x^2+10x-1	$f (2) = 5 x^{2} + 10 x - 1$
188871	Graph	1+x>=7	$1 + x \geq 7$
188872	Solve for a	x/(x^(4/5))=x^a	$\frac{x}{x^{\frac{4}{5}}} = x^{a}$
188873	Multiply	(-2x^(a-2))(7x^5-8x^2+6x^3-9x+2)	$(- 2 x^{a - 2}) (7 x^{5} - 8 x^{2} + 6 x^{3} - 9 x + 2)$
188874	Find the Product	(x-5)(x+2)(x-6)	$(x - 5) (x + 2) (x - 6)$
188875	Factor	2/3m+4/3m^2-8/3m^3	$\frac{2}{3} m + \frac{4}{3} m^{2} - \frac{8}{3} m^{3}$
188876	Solve for w	p=w/a	$p = \frac{w}{a}$
188877	Simplify	(1/2-6/5)/(3/2-1/6)	$\frac{\frac{1}{2} - \frac{6}{5}}{\frac{3}{2} - \frac{1}{6}}$
188878	Simplify	(x^2+2x-24)/(x^2-9)*(x+3)/(x^2-16)	$\frac{x^{2} + 2 x - 24}{x^{2} - 9} \cdot \frac{x + 3}{x^{2} - 16}$
188879	Find All Complex Solutions	(cot(theta)+1)(sin(theta)+1)=0	$(\cot (θ) + 1) (\sin (θ) + 1) = 0$
188880	Solve the Inequality for x	(x+6)(x^2-16)(1-x)<0	$(x + 6) (x^{2} - 16) (1 - x) < 0$
188881	Find the Domain and Range	y=1/3x^2	$y = \frac{1}{3} x^{2}$
188882	Factor	(-x^4+25x^2)	$(- x^{4} + 25 x^{2})$
188883	Solve the Inequality for x	\|x\|>=4	$\| x \| \geq 4$
188884	Graph	y=(-x)^3+1	$y = {(- x)}^{3} + 1$
188885	Solve for h	25h+125<=500	$25 h + 125 \leq 500$
188886	Graph	3x+4y<=12 2x-5y<=10	$3 x + 4 y \leq 12$ $2 x - 5 y \leq 10$
188887	Solve for n	(n5)4=(45)2	$(n \cdot 5) \cdot 4 = (4 \cdot 5) \cdot 2$
188888	Solve for x	3(x-1)-7=15	$3 (x - 1) - 7 = 15$
188889	Factor by Grouping	x^2+xy+ax+ay	$x^{2} + x y + a x + a y$
188890	Find the Holes in the Graph	(3x-9)/(x-3)	$\frac{3 x - 9}{x - 3}$
188891	Find the Holes in the Graph	(-x^2+2x+8)/(2x^2-16x+32)	$\frac{- x^{2} + 2 x + 8}{2 x^{2} - 16 x + 32}$
188892	Simplify	square root of (x^2-4)+4	$\sqrt{(x^{2} - 4) + 4}$
188893	Evaluate	((2 square root of 2)/3)^2	${(\frac{2 \sqrt{2}}{3})}^{2}$
188894	Find r(q(x))	q(x)=x^2+6 r(x) = square root of x+9	$q (x) = x^{2} + 6$ $r (x) = \sqrt{x + 9}$
188895	Solve the Absolute Value Inequality for x	(\|7x+4\|)/8=3	$\frac{\| 7 x + 4 \|}{8} = 3$
188896	Solve the Rational Equation for x	16/(x^2-16)=2/(x-4)	$\frac{16}{x^{2} - 16} = \frac{2}{x - 4}$
188897	Graph	y=x^2+4,x<2; x+4,x>=2	$y = {\begin{cases} x^{2} + 4, x < 2 \\ x + 4, x \geq 2 \end{cases}$
188898	Convert to a Simplified Fraction	0.6 as a fraction	$0.6$ as a fraction
188899	Find the Points of Intersection	x+y=8 and 2x-y=1	$x + y = 8$ and $2 x - y = 1$
188900	Simplify	1/(ab^2)-1/(a^3b)	$\frac{1}{a b^{2}} - \frac{1}{a^{3} b}$