Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
232701	Simplify the Radical Expression	2 square root of 20+ cube root of 16- square root of 45+ cube root of 54	$2 \sqrt{20} + \sqrt[3]{16} - \sqrt{45} + \sqrt[3]{54}$
232702	Multiply	3+3*3+3	$3 + 3 \cdot 3 + 3$
232703	Write in Standard Form	a(x-h)^2+k	$a {(x - h)}^{2} + k$
232704	Factor	48(cg)+36cf-4dg-3df	$48 cg + 36 c f - 4 d g - 3 d f$
232705	Graph	k<0 , b<0	$k < 0$ , $b < 0$
232706	Simplify	2y square root of x^3y-5 square root of x^3y^3+8x square root of xy^3	$2 y \sqrt{x^{3} y} - 5 \sqrt{x^{3} y^{3}} + 8 x \sqrt{x y^{3}}$
232707	Find the x and y Intercepts	f(x)=-4(6x+1)^2	$f (x) = - 4 {(6 x + 1)}^{2}$
232708	Graph	x^2+y^2<=16 x^2-y<2	$x^{2} + y^{2} \leq 16$ $x^{2} - y < 2$
232709	Divide	((x-1)/(x^2+5x-6))÷((7x-56)/(x^2-2x-48))	$\frac{x - 1}{x^{2} + 5 x - 6} \div \frac{7 x - 56}{x^{2} - 2 x - 48}$
232710	Solve the Absolute Value Inequality for x	11=\|11+4x\|	$11 = \| 11 + 4 x \|$
232711	Find the Exact Value	2^-3*3^-2	$2^{- 3} \cdot 3^{- 2}$
232712	Solve for y	4(x-y)=2x+3	$4 (x - y) = 2 x + 3$
232713	Simplify the Radical Expression	- square root of 4+ square root of -75- square root of 9+ square root of -27	$- \sqrt{4} + \sqrt{- 75} - \sqrt{9} + \sqrt{- 27}$
232714	Solve for b	a=(a-b)/b+c	$a = \frac{a - b}{b} + c$
232715	Simplify	(x-2y)/(2y-x)	$\frac{x - 2 y}{2 y - x}$
232716	Solve for r	C=pir	$C = π r$
232717	Solve for x	square root of 25=x	$\sqrt{25} = x$
232718	Simplify	cube root of 3* sixth root of 4	$\sqrt[3]{3} \cdot \sqrt[6]{4}$
232719	Solve the Rational Equation for x	(2^(x/3))(2^(x/2))=2^5	$(2^{\frac{x}{3}}) (2^{\frac{x}{2}}) = 2^{5}$
232720	Evaluate	2sin((7pi)/6)	$2 \sin (\frac{7 π}{6})$
232721	Evaluate	((4*10^3)/(10^-2))^2	${(\frac{4 \cdot 10^{3}}{10^{- 2}})}^{2}$
232722	Solve for x	\|2x-4\|-\|x\|<=3	$\| 2 x - 4 \| - \| x \| \leq 3$
232723	Simplify	(1/x+5)(3x^2-9)	$(\frac{1}{x} + 5) (3 x^{2} - 9)$
232724	Simplify	((6x+3)/(2x-3))÷((3x^2-12x-15)/(2x^2-x-3))	$\frac{6 x + 3}{2 x - 3} \div \frac{3 x^{2} - 12 x - 15}{2 x^{2} - x - 3}$
232725	Simplify	(37+12 square root of 5)/( square root of 5+8)	$\frac{37 + 12 \sqrt{5}}{\sqrt{5} + 8}$
232726	Simplify	(2k)/(3k+12)+(k+7)/(k^2+4k)	$\frac{2 k}{3 k + 12} + \frac{k + 7}{k^{2} + 4 k}$
232727	Solve for x	2(x-5+2)=6	$2 (x - 5 + 2) = 6$
232728	Solve for y	12y-(25-(6y-11))=18(y-2)	$12 y - (25 - (6 y - 11)) = 18 (y - 2)$
232729	Simplify	((32x^4y^4)/(4x^-2y))^(2/3)	${(\frac{32 x^{4} y^{4}}{4 x^{- 2} y})}^{\frac{2}{3}}$
232730	Evaluate	((3x^5y^5)^3)/(3x^3y^11)+4x^12y^4	$\frac{{(3 x^{5} y^{5})}^{3}}{3 x^{3} y^{11}} + 4 x^{12} y^{4}$
232731	Solve for x	Solve square root of x+84 = square root of x+6	Solve $\sqrt{x + 84} = \sqrt{x} + 6$
232732	Graph	g(x)=2\|7-x\|	$g (x) = 2 \| 7 - x \|$
232733	Find the Degree, Leading Term, and Leading Coefficient	f(x)=2x^4-5x^3+3x^2+7x-1	$f (x) = 2 x^{4} - 5 x^{3} + 3 x^{2} + 7 x - 1$
232734	Evaluate	2.1+(-3.7h)+1.9h-1.4	$2.1 + (- 3.7 h) + 1.9 h - 1.4$
232735	Graph	y=(-10+5s)(-9+9s)	$y = (- 10 + 5 s) (- 9 + 9 s)$
232736	Evaluate	-cos(0)+sin(0)	$- \cos (0) + \sin (0)$
232737	Graph Using a Table of Values	y=1/2 cube root of x	$y = \frac{1}{2} \sqrt[3]{x}$
232738	Evaluate	log base 12 of 18+3* log base 12 of 2	$\log_{12} (18) + 3 \cdot \log_{12} (2)$
232739	Solve for p	-15=6p+15-10p	$- 15 = 6 p + 15 - 10 p$
232740	Find the Equation Using Point-Slope Formula	(-9,9) and (8,-2)	$(- 9, 9)$ and $(8, - 2)$
232741	Evaluate	(cos(0.001)-1)/0.001	$\frac{\cos (0.001) - 1}{0.001}$
232742	Evaluate	5(1-2(2z-1))=-3(3z-1)+1	$5 (1 - 2 (2 z - 1)) = - 3 (3 z - 1) + 1$
232743	Solve for t	t/-3.2<5	$\frac{t}{- 3.2} < 5$
232744	Solve the System of Inequalities	(9-8w)/5<3 or 2/3(18w-3)<-62	$\frac{9 - 8 w}{5} < 3$ or $\frac{2}{3} (18 w - 3) < - 62$
232745	Evaluate	( log base 5 of 12- log base 5 of 4)* log base 1/9 of cube root of 5	$(\log_{5} (12) - \log_{5} (4)) \cdot \log_{\frac{1}{9}} (\sqrt[3]{5})$
232746	Solve by Addition/Elimination	5x+6y=50 and x-6y=-26	$5 x + 6 y = 50$ and $x - 6 y = - 26$
232747	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 $x - 2$
232748	Simplify	(5x^-1y^(1/2))/( square root of 25x^4y^2)	$\frac{5 x^{- 1} y^{\frac{1}{2}}}{\sqrt{25 x^{4} y^{2}}}$
232749	Simplify	((2v)/(3v^3-9v^2))÷((v-8)/(v^2-11v+24))	$\frac{2 v}{3 v^{3} - 9 v^{2}} \div \frac{v - 8}{v^{2} - 11 v + 24}$
232750	Graph	y>5+x	$y > 5 + x$
232751	Solve for x	square root of x^2+3x-2-x=1	$\sqrt{x^{2} + 3 x - 2} - x = 1$
232752	Simplify	(z^-2zy^(3/5))^8	${(z^{- 2} \cdot z \cdot y^{\frac{3}{5}})}^{8}$
232753	Solve for x	4x^2+6x+35=16x^2+7x	$4 x^{2} + 6 x + 35 = 16 x^{2} + 7 x$
232754	Simplify	(15x^-3)/x	$\frac{15 x^{- 3}}{x}$
232755	Simplify	(100/4)^(1/2)	${(\frac{100}{4})}^{\frac{1}{2}}$
232756	Graph	-27=x^4-12x^2	$- 27 = x^{4} - 12 x^{2}$
232757	Simplify	3xx	$3 \cdot x \cdot x$
232758	Solve for x	3x-4+x=4(x-1)	$3 x - 4 + x = 4 (x - 1)$
232759	Find the Exact Value	3^3+8*2	$3^{3} + 8 \cdot 2$
232760	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 $x + 1$
232761	Simplify	2/(x^2-9)-(3x)/(x^2-5x+6)	$\frac{2}{x^{2} - 9} - \frac{3 x}{x^{2} - 5 x + 6}$
232762	Convert to a Decimal	60deg to rad	$60$ degrees to radians
232763	Find the Symmetry	f(x)=3x	$f (x) = 3 x$
232764	Determine if (3,2) is a Solution	x+y>5 , (3,2)	$x + y > 5$ , $(3, 2)$
232765	Solve for x	1/3(9-6x)=-4x	$\frac{1}{3} (9 - 6 x) = - 4 x$
232766	Find the Holes in the Graph	f(x)=(x^2-x-6)/(x^2+x-2)	$f (x) = \frac{x^{2} - x - 6}{x^{2} + x - 2}$
232767	Solve for x	fourth root of 83x-18=3 fourth root of x	$\sqrt[4]{83 x - 18} = 3 \sqrt[4]{x}$
232768	Solve for x	x(3x-2)=(3x+1)(x-3)	$x (3 x - 2) = (3 x + 1) (x - 3)$
232769	Evaluate	-6/20+1.5	$- \frac{6}{20} + 1.5$
232770	Solve for x	9/14=(x+8)/(3x-2)	$\frac{9}{14} = \frac{x + 8}{3 x - 2}$
232771	Find the x and y Intercepts	f(x)=2-3/(x^2)	$f (x) = 2 - \frac{3}{x^{2}}$
232772	Solve the Rational Equation for x	square root of x-5=0	$\sqrt{x} - 5 = 0$
232773	Simplify	((x-4)(x^2+2x-48))/((36-x^2)(x^2+4x-32))	$\frac{(x - 4) (x^{2} + 2 x - 48)}{(36 - x^{2}) (x^{2} + 4 x - 32)}$
232774	Find All Complex Solutions	\|x+7\|=\|x+11\|	$\| x + 7 \| = \| x + 11 \|$
232775	Simplify	( cube root of x)/( cube root of xy)	$\frac{\sqrt[3]{x}}{\sqrt[3]{x y}}$
232776	Solve for C	C(x)=-4x^2+4x+3	$C (x) = - 4 x^{2} + 4 x + 3$
232777	Solve the System of Inequalities	y>=-3x-2 y>=2x-7	$y \geq - 3 x - 2$ $y \geq 2 x - 7$
232778	Write the Fraction in Simplest Form	-3/2-3/8	$- \frac{3}{2} - \frac{3}{8}$
232779	Solve the Inequality for a	3(3a-8)>-96	$3 (3 a - 8) > - 96$
232780	Solve for y	y = square root of 64-6	$y = \sqrt{64} - 6$
232781	Simplify	1-(1/2)^2	$1 - {(\frac{1}{2})}^{2}$
232782	Evaluate	(x^2y^3)^2	${(x^{2} y^{3})}^{2}$
232783	Describe the Transformation	f(x)=1/4*4^x-2	$f (x) = \frac{1}{4} \cdot 4^{x} - 2$
232784	Simplify	sec(theta)tan(theta)cos(theta)	$\sec (θ) \cdot \tan (θ) \cdot \cos (θ)$
232785	Evaluate	((-1)^4)/4-(-1)^3+3(-1)^2	$\frac{{(- 1)}^{4}}{4} - {(- 1)}^{3} + 3 {(- 1)}^{2}$
232786	Simplify	(2 square root of 3)/(2 square root of 15)	$\frac{2 \sqrt{3}}{2 \sqrt{15}}$
232787	Evaluate the Function	F(0)=4x-2	$F (0) = 4 x - 2$
232788	Solve the Inequality for n	60>5-5n	$60 > 5 - 5 n$
232789	Find the Product	3^5*7^5=e^5	$3^{5} \cdot 7^{5} = e^{5}$
232790	Solve for x	cos(2/3x-pi/2)-1=0	$\cos (\frac{2}{3} x - \frac{π}{2}) - 1 = 0$
232791	Solve by Substitution	2x-3y=13 y=1/2x-7/2	$2 x - 3 y = 13$ $y = \frac{1}{2} x - \frac{7}{2}$
232792	Simplify	The sum of (6x-7) and (3x-5) is	The sum of $(6 x - 7)$ and $(3 x - 5)$ is
232793	Solve for x	2x+5(-4/7)=2	$2 x + 5 (- \frac{4}{7}) = 2$
232794	Simplify	3y+3y+5+7x^3-y-6-7x^3	$3 y + 3 y + 5 + 7 x^{3} - y - 6 - 7 x^{3}$
232795	Simplify	-4n+1/3m+4n-4/5m	$- 4 n + \frac{1}{3} m + 4 n - \frac{4}{5} m$
232796	Find the Area of the Triangle	(-4,-5) , (-3,2) and (9,0)	$(- 4, - 5)$ , $(- 3, 2)$ and $(9, 0)$
232797	Evaluate	52-200/(2^2)*3+7^(1+3)	$52 - \frac{200}{2^{2}} \cdot 3 + 7^{1 + 3}$
232798	Solve for v	4/(v+4)=8/(2v+8)-3	$\frac{4}{v + 4} = \frac{8}{2 v + 8} - 3$
232799	Graph	y=2÷x	$y = 2 \div x$
232800	Simplify the Radical Expression	seventh root of 4^-10	$\sqrt[7]{4^{- 10}}$