Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
232701	Solve for y	y=1/( square root of x)	$y = \frac{1}{\sqrt{x}}$
232702	Divide Using Long Polynomial Division	(2x^4+4x^3-x^2)/x	$\frac{2 x^{4} + 4 x^{3} - x^{2}}{x}$
232703	Solve for x	(2x+1)^2=8x+25	${(2 x + 1)}^{2} = 8 x + 25$
232704	Evaluate	(2+3/x)/(4-2/(3x))	$\frac{2 + \frac{3}{x}}{4 - \frac{2}{3 x}}$
232705	Simplify	-(6j^-9)/((-2j^4)^3)	$- \frac{6 j^{- 9}}{{(- 2 j^{4})}^{3}}$
232706	Find the Distance Between Two Points	Find the distance between (-12,1) and (12,-1)	Find the distance between $(- 12, 1)$ and $(12, - 1)$
232707	Graph	y=x y=-2x+3	$y = x$ $y = - 2 x + 3$
232708	Solve for x	x/(x+2)-2/(2-x)=(3x+2)/(x^2-4)	$\frac{x}{x + 2} - \frac{2}{2 - x} = \frac{3 x + 2}{x^{2} - 4}$
232709	Simplify	1/4a^5b^12*16/5a^3b^2	$\frac{1}{4} a^{5} b^{12} \times \frac{16}{5} a^{3} b^{2}$
232710	Solve for n	6n-4+5n+7=180	$6 n - 4 + 5 n + 7 = 180$
232711	Solve for c	3+11x=cx+2(4x-1)+5	$3 + 11 x = c x + 2 (4 x - 1) + 5$
232712	Solve the System of Inequalities	y>-x+2 y<1/2x-4	$y > - x + 2$ $y < \frac{1}{2} x - 4$
232713	Solve the System of Equations	y+2=3(x-1) y=-2x+10	$y + 2 = 3 (x - 1)$ $y = - 2 x + 10$
232714	Multiply	(x^2-64)/(x-8)*(x+5)/(x^2+13x+40)	$\frac{x^{2} - 64}{x - 8} \cdot \frac{x + 5}{x^{2} + 13 x + 40}$
232715	Solve for x	(2x-1)^(1/3)-3=0	${(2 x - 1)}^{\frac{1}{3}} - 3 = 0$
232716	Evaluate	18-2^4*-0.5	$18 - 2^{4} \cdot - 0.5$
232717	Simplify the Radical Expression	2 square root of 20+ cube root of 16- square root of 45+ cube root of 54	$2 \sqrt{20} + \sqrt[3]{16} - \sqrt{45} + \sqrt[3]{54}$
232718	Multiply	3+3*3+3	$3 + 3 \cdot 3 + 3$
232719	Write in Standard Form	a(x-h)^2+k	$a {(x - h)}^{2} + k$
232720	Factor	48(cg)+36cf-4dg-3df	$48 cg + 36 c f - 4 d g - 3 d f$
232721	Graph	k<0 , b<0	$k < 0$ , $b < 0$
232722	Simplify	2y square root of x^3y-5 square root of x^3y^3+8x square root of xy^3	$2 y \sqrt{x^{3} y} - 5 \sqrt{x^{3} y^{3}} + 8 x \sqrt{x y^{3}}$
232723	Find the x and y Intercepts	f(x)=-4(6x+1)^2	$f (x) = - 4 {(6 x + 1)}^{2}$
232724	Graph	x^2+y^2<=16 x^2-y<2	$x^{2} + y^{2} \leq 16$ $x^{2} - y < 2$
232725	Divide	((x-1)/(x^2+5x-6))÷((7x-56)/(x^2-2x-48))	$\frac{x - 1}{x^{2} + 5 x - 6} \div \frac{7 x - 56}{x^{2} - 2 x - 48}$
232726	Solve the Absolute Value Inequality for x	11=\|11+4x\|	$11 = \| 11 + 4 x \|$
232727	Find the Exact Value	2^-3*3^-2	$2^{- 3} \cdot 3^{- 2}$
232728	Solve for y	4(x-y)=2x+3	$4 (x - y) = 2 x + 3$
232729	Simplify the Radical Expression	- square root of 4+ square root of -75- square root of 9+ square root of -27	$- \sqrt{4} + \sqrt{- 75} - \sqrt{9} + \sqrt{- 27}$
232730	Solve for b	a=(a-b)/b+c	$a = \frac{a - b}{b} + c$
232731	Simplify	(x-2y)/(2y-x)	$\frac{x - 2 y}{2 y - x}$
232732	Solve for r	C=pir	$C = π r$
232733	Solve for x	square root of 25=x	$\sqrt{25} = x$
232734	Simplify	cube root of 3* sixth root of 4	$\sqrt[3]{3} \cdot \sqrt[6]{4}$
232735	Solve the Rational Equation for x	(2^(x/3))(2^(x/2))=2^5	$(2^{\frac{x}{3}}) (2^{\frac{x}{2}}) = 2^{5}$
232736	Evaluate	2sin((7pi)/6)	$2 \sin (\frac{7 π}{6})$
232737	Evaluate	((4*10^3)/(10^-2))^2	${(\frac{4 \cdot 10^{3}}{10^{- 2}})}^{2}$
232738	Solve for x	\|2x-4\|-\|x\|<=3	$\| 2 x - 4 \| - \| x \| \leq 3$
232739	Simplify	(1/x+5)(3x^2-9)	$(\frac{1}{x} + 5) (3 x^{2} - 9)$
232740	Simplify	((6x+3)/(2x-3))÷((3x^2-12x-15)/(2x^2-x-3))	$\frac{6 x + 3}{2 x - 3} \div \frac{3 x^{2} - 12 x - 15}{2 x^{2} - x - 3}$
232741	Simplify	(37+12 square root of 5)/( square root of 5+8)	$\frac{37 + 12 \sqrt{5}}{\sqrt{5} + 8}$
232742	Simplify	(2k)/(3k+12)+(k+7)/(k^2+4k)	$\frac{2 k}{3 k + 12} + \frac{k + 7}{k^{2} + 4 k}$
232743	Solve for x	2(x-5+2)=6	$2 (x - 5 + 2) = 6$
232744	Solve for y	12y-(25-(6y-11))=18(y-2)	$12 y - (25 - (6 y - 11)) = 18 (y - 2)$
232745	Simplify	((32x^4y^4)/(4x^-2y))^(2/3)	${(\frac{32 x^{4} y^{4}}{4 x^{- 2} y})}^{\frac{2}{3}}$
232746	Evaluate	((3x^5y^5)^3)/(3x^3y^11)+4x^12y^4	$\frac{{(3 x^{5} y^{5})}^{3}}{3 x^{3} y^{11}} + 4 x^{12} y^{4}$
232747	Solve for x	Solve square root of x+84 = square root of x+6	Solve $\sqrt{x + 84} = \sqrt{x} + 6$
232748	Graph	g(x)=2\|7-x\|	$g (x) = 2 \| 7 - x \|$
232749	Find the Degree, Leading Term, and Leading Coefficient	f(x)=2x^4-5x^3+3x^2+7x-1	$f (x) = 2 x^{4} - 5 x^{3} + 3 x^{2} + 7 x - 1$
232750	Evaluate	2.1+(-3.7h)+1.9h-1.4	$2.1 + (- 3.7 h) + 1.9 h - 1.4$
232751	Graph	y=(-10+5s)(-9+9s)	$y = (- 10 + 5 s) (- 9 + 9 s)$
232752	Evaluate	-cos(0)+sin(0)	$- \cos (0) + \sin (0)$
232753	Graph Using a Table of Values	y=1/2 cube root of x	$y = \frac{1}{2} \sqrt[3]{x}$
232754	Evaluate	log base 12 of 18+3* log base 12 of 2	$\log_{12} (18) + 3 \cdot \log_{12} (2)$
232755	Solve for p	-15=6p+15-10p	$- 15 = 6 p + 15 - 10 p$
232756	Find the Equation Using Point-Slope Formula	(-9,9) and (8,-2)	$(- 9, 9)$ and $(8, - 2)$
232757	Evaluate	(cos(0.001)-1)/0.001	$\frac{\cos (0.001) - 1}{0.001}$
232758	Evaluate	5(1-2(2z-1))=-3(3z-1)+1	$5 (1 - 2 (2 z - 1)) = - 3 (3 z - 1) + 1$
232759	Solve for t	t/-3.2<5	$\frac{t}{- 3.2} < 5$
232760	Solve the System of Inequalities	(9-8w)/5<3 or 2/3(18w-3)<-62	$\frac{9 - 8 w}{5} < 3$ or $\frac{2}{3} (18 w - 3) < - 62$
232761	Evaluate	( log base 5 of 12- log base 5 of 4)* log base 1/9 of cube root of 5	$(\log_{5} (12) - \log_{5} (4)) \cdot \log_{\frac{1}{9}} (\sqrt[3]{5})$
232762	Solve by Addition/Elimination	5x+6y=50 and x-6y=-26	$5 x + 6 y = 50$ and $x - 6 y = - 26$
232763	Divide Using Synthetic Division	Use synthetic division to find the result when x^4+2x^3+x^2-8x-20 is divided by x-2	Use synthetic division to find the result when $x^{4} + 2 x^{3} + x^{2} - 8 x - 20$ is divided by $x - 2$
232764	Simplify	(5x^-1y^(1/2))/( square root of 25x^4y^2)	$\frac{5 x^{- 1} y^{\frac{1}{2}}}{\sqrt{25 x^{4} y^{2}}}$
232765	Simplify	((2v)/(3v^3-9v^2))÷((v-8)/(v^2-11v+24))	$\frac{2 v}{3 v^{3} - 9 v^{2}} \div \frac{v - 8}{v^{2} - 11 v + 24}$
232766	Graph	y>5+x	$y > 5 + x$
232767	Solve for x	square root of x^2+3x-2-x=1	$\sqrt{x^{2} + 3 x - 2} - x = 1$
232768	Simplify	(z^-2zy^(3/5))^8	${(z^{- 2} \cdot z \cdot y^{\frac{3}{5}})}^{8}$
232769	Solve for x	4x^2+6x+35=16x^2+7x	$4 x^{2} + 6 x + 35 = 16 x^{2} + 7 x$
232770	Simplify	(15x^-3)/x	$\frac{15 x^{- 3}}{x}$
232771	Simplify	(100/4)^(1/2)	${(\frac{100}{4})}^{\frac{1}{2}}$
232772	Graph	-27=x^4-12x^2	$- 27 = x^{4} - 12 x^{2}$
232773	Simplify	3xx	$3 \cdot x \cdot x$
232774	Solve for x	3x-4+x=4(x-1)	$3 x - 4 + x = 4 (x - 1)$
232775	Find the Exact Value	3^3+8*2	$3^{3} + 8 \cdot 2$
232776	Divide Using Long Polynomial Division	2x^3+3x^2+7x+6 divided by x+1	$2 x^{3} + 3 x^{2} + 7 x + 6$ divided by $x + 1$
232777	Simplify	2/(x^2-9)-(3x)/(x^2-5x+6)	$\frac{2}{x^{2} - 9} - \frac{3 x}{x^{2} - 5 x + 6}$
232778	Convert to a Decimal	60deg to rad	$60$ degrees to radians
232779	Find the Symmetry	f(x)=3x	$f (x) = 3 x$
232780	Determine if (3,2) is a Solution	x+y>5 , (3,2)	$x + y > 5$ , $(3, 2)$
232781	Solve for x	1/3(9-6x)=-4x	$\frac{1}{3} (9 - 6 x) = - 4 x$
232782	Find the Holes in the Graph	f(x)=(x^2-x-6)/(x^2+x-2)	$f (x) = \frac{x^{2} - x - 6}{x^{2} + x - 2}$
232783	Solve for x	fourth root of 83x-18=3 fourth root of x	$\sqrt[4]{83 x - 18} = 3 \sqrt[4]{x}$
232784	Solve for x	x(3x-2)=(3x+1)(x-3)	$x (3 x - 2) = (3 x + 1) (x - 3)$
232785	Evaluate	-6/20+1.5	$- \frac{6}{20} + 1.5$
232786	Solve for x	9/14=(x+8)/(3x-2)	$\frac{9}{14} = \frac{x + 8}{3 x - 2}$
232787	Find the x and y Intercepts	f(x)=2-3/(x^2)	$f (x) = 2 - \frac{3}{x^{2}}$
232788	Solve the Rational Equation for x	square root of x-5=0	$\sqrt{x} - 5 = 0$
232789	Simplify	((x-4)(x^2+2x-48))/((36-x^2)(x^2+4x-32))	$\frac{(x - 4) (x^{2} + 2 x - 48)}{(36 - x^{2}) (x^{2} + 4 x - 32)}$
232790	Find All Complex Solutions	\|x+7\|=\|x+11\|	$\| x + 7 \| = \| x + 11 \|$
232791	Simplify	( cube root of x)/( cube root of xy)	$\frac{\sqrt[3]{x}}{\sqrt[3]{x y}}$
232792	Solve for C	C(x)=-4x^2+4x+3	$C (x) = - 4 x^{2} + 4 x + 3$
232793	Solve the System of Inequalities	y>=-3x-2 y>=2x-7	$y \geq - 3 x - 2$ $y \geq 2 x - 7$
232794	Write the Fraction in Simplest Form	-3/2-3/8	$- \frac{3}{2} - \frac{3}{8}$
232795	Solve the Inequality for a	3(3a-8)>-96	$3 (3 a - 8) > - 96$
232796	Solve for y	y = square root of 64-6	$y = \sqrt{64} - 6$
232797	Simplify	1-(1/2)^2	$1 - {(\frac{1}{2})}^{2}$
232798	Evaluate	(x^2y^3)^2	${(x^{2} y^{3})}^{2}$
232799	Describe the Transformation	f(x)=1/4*4^x-2	$f (x) = \frac{1}{4} \cdot 4^{x} - 2$
232800	Simplify	sec(theta)tan(theta)cos(theta)	$\sec (θ) \cdot \tan (θ) \cdot \cos (θ)$