Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
38801	Find the Remainder	(-7x^4+5x^3+20x^2+10)÷(-x^2+x+3)	$(- 7 x^{4} + 5 x^{3} + 20 x^{2} + 10) \div (- x^{2} + x + 3)$
38802	Write in Standard Form	(x-2)^2-4	${(x - 2)}^{2} - 4$
38803	Divide Using Long Polynomial Division	(8x^8-8x^2-28x)/(4x)	$\frac{8 x^{8} - 8 x^{2} - 28 x}{4 x}$
38804	Solve for x	1/((x-2)^(1/2))=1/2	$\frac{1}{{(x - 2)}^{\frac{1}{2}}} = \frac{1}{2}$
38805	Find the Product	3y^2z(2y^2z+4yz-y+z)	$3 y^{2} z (2 y^{2} z + 4 y z - y + z)$
38806	Evaluate	(8^10-8^9-8^8)/55	$\frac{(8^{10} - 8^{9} - 8^{8})}{55}$
38807	Evaluate	-20(7+x)	$- 20 (7 + x)$
38808	Find the GCF	387 and 225	$387$ and $225$
38809	Identify the Sequence	1 , 3 , 9 , 27 ; dots	$1$ , $3$ , $9$ , $27$ ; dots
38810	Solve for x	-x-3(-9/4x+3/5)+5=4x-1	$- x - 3 (- \frac{9}{4} x + \frac{3}{5}) + 5 = 4 x - 1$
38811	Solve the Rational Equation for p	-7+(16p+8)^(1/3)=-1	$- 7 + {(16 p + 8)}^{\frac{1}{3}} = - 1$
38812	Graph	3/2 cube root of x+5	$\frac{3}{2} \sqrt[3]{x} + 5$
38813	Write as a Single Logarithm	natural log of x^2+18x+80- natural log of x+8	$\ln (x^{2} + 18 x + 80) - \ln (x + 8)$
38814	Solve the Function Operation	If f(x)=4x^2-3x and g(x)=6-7x ; find: (f+g)(5)	If $f (x) = 4 x^{2} - 3 x$ and $g (x) = 6 - 7 x$ ; find: $(f + g) (5)$
38815	Evaluate	-3(2/15)+3/4	$- 3 (\frac{2}{15}) + \frac{3}{4}$
38816	Graph	y=e^(-x+1)	$y = e^{- x + 1}$
38817	Factor	3(-2x+3)^3(-3)(4x^2-5)^3+(-2x+3)^4(3)(4x^2-5)^2(2x)	$3 {(- 2 x + 3)}^{3} (- 3) {(4 x^{2} - 5)}^{3} + {(- 2 x + 3)}^{4} (3) {(4 x^{2} - 5)}^{2} (2 x)$
38818	Find the Third Derivative	1/6x^-3-1/6x^3-1/3	$\frac{1}{6} x^{- 3} - \frac{1}{6} x^{3} - \frac{1}{3}$
38819	Find the Slope	(5,4) and (7,10)	$(5, 4)$ and $(7, 10)$
38820	Multiply	(1+sin(x))(1-sin(x))	$(1 + \sin (x)) (1 - \sin (x))$
38821	Simplify	(1+a^3)/(1+a)	$\frac{1 + a^{3}}{1 + a}$
38822	Find the Distance Between Two Points	(-9,5) and (0,0)	$(- 9, 5)$ and $(0, 0)$
38823	Solve for x	3e^(2x)-8=2e^x	$3 e^{2 x} - 8 = 2 e^{x}$
38824	Describe the Transformation	-f(x+3)-4	$- f (x + 3) - 4$
38825	Evaluate	100(1/2)^(168/12)	$100 {(\frac{1}{2})}^{\frac{168}{12}}$
38826	Evaluate	(3x-4y^2)(3x+4y^2)	$(3 x - 4 y^{2}) (3 x + 4 y^{2})$
38827	Evaluate	4/( square root of 9-(4)^2)	$\frac{4}{\sqrt{9 - {(4)}^{2}}}$
38828	Find the Remainder	((x-1)(x^2+x+1))÷(x+2)	$(x - 1) (x^{2} + x + 1) \div (x + 2)$
38829	Solve for x	4/x-x/8=0	$\frac{4}{x} - \frac{x}{8} = 0$
38830	Evaluate	-(12x)^-2	$- {(12 x)}^{- 2}$
38831	Rationalize the Denominator	cube root of (x^3)/(4x^4)	$\sqrt[3]{\frac{x^{3}}{4 x^{4}}}$
38832	Evaluate	y=(1/4)^3	$y = {(\frac{1}{4})}^{3}$
38833	Solve for x	4(2x+1)-7=26-3(-2x-5)	$4 (2 x + 1) - 7 = 26 - 3 (- 2 x - 5)$
38834	Factor	100x^4y^8-144a^6	$100 x^{4} y^{8} - 144 a^{6}$
38835	Evaluate	(xy^-6)/(x^-4y^2)	$\frac{x y^{- 6}}{x^{- 4} y^{2}}$
38836	Solve for x	3xy^3+5-x-2xy^3=xy^3+11	$3 x y^{3} + 5 - x - 2 x y^{3} = x y^{3} + 11$
38837	Determine if Dependent, Independent, or Inconsistent	3y=9x+6 2y-6x=4	$3 y = 9 x + 6$ $2 y - 6 x = 4$
38838	Solve by Factoring	3 cube root of 12+5 cube root of 12=(3+5) cube root of 24	$3 \sqrt[3]{12} + 5 \sqrt[3]{12} = (3 + 5) \sqrt[3]{24}$
38839	Solve the Inequality for x	3+4\|3x+7\|>=-89	$3 + 4 \| 3 x + 7 \| \geq - 89$
38840	Simplify	5 square root of 7/5	$5 \sqrt{\frac{7}{5}}$
38841	Evaluate	\|x-2\|+3<0	$\| x - 2 \| + 3 < 0$
38842	Solve for y	6y+10=y^2+3y	$6 y + 10 = y^{2} + 3 y$
38843	Solve for x	2x+4y=6y+1/2x	$2 x + 4 y = 6 y + \frac{1}{2} x$
38844	Solve for x	x=(3/7x-4)+4+(5/7x-4)	$x = (\frac{3}{7} x - 4) + 4 + (\frac{5}{7} x - 4)$
38845	Convert to a Decimal	-405deg	$- 405$ degrees
38846	Simplify	1/(x^3)+1	$\frac{1}{x^{3}} + 1$
38847	Simplify	(10x^3)/(11y^2)*(121y^5)/(25x)	$\frac{10 x^{3}}{11 y^{2}} \cdot \frac{121 y^{5}}{25 x}$
38848	Evaluate the Function	(-2,-16) , (1,5) , (3,59) , (6,440)	$(- 2, - 16)$ , $(1, 5)$ , $(3, 59)$ , $(6, 440)$
38849	Find the Domain and Range	y=x^3-2x^2+5x+7	$y = x^{3} - 2 x^{2} + 5 x + 7$
38850	Divide	(-8/5)÷(-24/25)	$- \frac{8}{5} \div (- \frac{24}{25})$
38851	Simplify	(2^-3m^4n^-5)/(p^-7)	$\frac{2^{- 3} m^{4} n^{- 5}}{p^{- 7}}$
38852	Simplify	((-3x^2y^3)^2(4x^5y^2)^3)/(288x^5y^8)	$\frac{{(- 3 x^{2} y^{3})}^{2} {(4 x^{5} y^{2})}^{3}}{288 x^{5} y^{8}}$
38853	Find the Sine of the Angle	(5pi)/4	$\frac{5 π}{4}$
38854	Graph	y>=2x^2-4 y<-0.5x-1 y<3x+2	$y \geq 2 x^{2} - 4$ $y < - 0.5 x - 1$ $y < 3 x + 2$
38855	Describe the Transformation	f(x)=3/4 square root of x+1	$f (x) = \frac{3}{4} \sqrt{x} + 1$
38856	Evaluate	2^-14*5^10	$2^{- 14} \cdot 5^{10}$
38857	Solve for c	( square root of 3)/2=( square root of 12)/c	$\frac{\sqrt{3}}{2} = \frac{\sqrt{12}}{c}$
38858	Find the Derivative - d/dx	y=e^x-e^(-x)	$y = e^{x} - e^{- x}$
38859	Factor	x^8-25x^4+144=0	$x^{8} - 25 x^{4} + 144 = 0$
38860	Find the x and y Intercepts	f(x)=-(1/3)^(x-1)+2	$f (x) = - {(\frac{1}{3})}^{x - 1} + 2$
38861	Simplify	5 square root of -100+4 cube root of 512+2 square root of -64	$5 \sqrt{- 100} + 4 \sqrt[3]{512} + 2 \sqrt{- 64}$
38862	Evaluate	2^2--3^-2	$2^{2} - - 3^{- 2}$
38863	Simplify the Radical Expression	square root of 144- square root of -90+ square root of 16+ square root of -10	$\sqrt{144} - \sqrt{- 90} + \sqrt{16} + \sqrt{- 10}$
38864	Solve for x	-10-3x^3=-37	$- 10 - 3 x^{3} = - 37$
38865	Simplify	(4x^4+3x^2-1)+(mx^3+2)(3x^2+1)	$(4 x^{4} + 3 x^{2} - 1) + (m x^{3} + 2) (3 x^{2} + 1)$
38866	Solve the Rational Equation for x	9^x*3^(x+2)=3^(f(x))	$9^{x} \cdot 3^{x + 2} = 3^{f (x)}$
38867	Simplify the Matrix	(2a^4)^-3 , a!=0	${(2 a^{4})}^{- 3}$ , $a \neq 0$
38868	Solve for x	(x+2)/4+(x-4)/2-(x-3)/3=(x+1)/12-(x-1)/2	$\frac{x + 2}{4} + \frac{x - 4}{2} - \frac{x - 3}{3} = \frac{x + 1}{12} - \frac{x - 1}{2}$
38869	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-8,-6) and has a slope of 1/4 ?	What is the equation of the line that passes through the point $(- 8, - 6)$ and has a slope of $\frac{1}{4}$ ?
38870	Factor	Factor: 49d^2n-25n	Factor: $49 d^{2} n - 25 n$
38871	Find the Distance Between Two Points	Find the distance between the points (-4,-9) and (-8,1)	Find the distance between the points $(- 4, - 9)$ and $(- 8, 1)$
38872	Evaluate	(2/3)^3+8/9	${(\frac{2}{3})}^{3} + \frac{8}{9}$
38873	Simplify the Radical Expression	( fourth root of 32)^2	${(\sqrt[4]{32})}^{2}$
38874	Find the LCM	15 and 5	$15$ and $5$
38875	Evaluate	-5 square root of x^3	$- 5 \sqrt{x^{3}}$
38876	Find the Linear Correlation Coefficient	table[[x,y]]	$\begin{array}{c} x & y \end{array}$
38877	Find the Product	(y^x-5)(y^x+5)	$(y^{x} - 5) (y^{x} + 5)$
38878	Solve the Function Operation	f(x)=8 cube root of x-4 ; find f^-1(x)	$f (x) = 8 \sqrt[3]{x} - 4$ ; find $f^{- 1} (x)$
38879	Simplify	-2/5-(-9/15)	$- \frac{2}{5} - (- \frac{9}{15})$
38880	Evaluate	6/7-(1/2*1/3)÷(1/5)	$\frac{6}{7} - \frac{1}{2} \cdot \frac{1}{3} \div \frac{1}{5}$
38881	Graph	y=-(2x+1)(2x+3)(2x-5)	$y = - (2 x + 1) (2 x + 3) (2 x - 5)$
38882	Solve for v	6/(3v-18)-3=2/(v-6)	$\frac{6}{3 v - 18} - 3 = \frac{2}{v - 6}$
38883	Simplify	cube root of 2x-(-11 cube root of 2x)	$\sqrt[3]{2 x} - (- 11 \sqrt[3]{2 x})$
38884	Find the GCF	8m^2 , 4my*10m^4	$8 m^{2}$ , $4 m y \cdot 10 m^{4}$
38885	Divide	(8x^5y^3)/(8x^7y)	$\frac{8 x^{5} y^{3}}{8 x^{7} y}$
38886	Solve for x	-4^(2-x)=-32	$- 4^{2 - x} = - 32$
38887	Convert to Interval Notation	2x+3<=-10 or 2x+3>=10	$2 x + 3 \leq - 10$ or $2 x + 3 \geq 10$
38888	Solve the System of Equations	5x-6y=33 and 2x+y=-14	$5 x - 6 y = 33$ and $2 x + y = - 14$
38889	Solve for y	6(y+3)-5y=15	$6 (y + 3) - 5 y = 15$
38890	Simplify the Radical Expression	(10 square root of 18)/( square root of 5)	$\frac{10 \sqrt{18}}{\sqrt{5}}$
38891	Add	2x^2+3x+4-3x^2-2x+6+4x^2+x-3	$2 x^{2} + 3 x + 4 - 3 x^{2} - 2 x + 6 + 4 x^{2} + x - 3$
38892	Simplify	fourth root of (16a^4)/(b^4c^8)	$\sqrt[4]{\frac{16 a^{4}}{b^{4} c^{8}}}$
38893	Solve the Function Operation	If f(x)=2x and g(x)=5x ; what is f(g(x)) when x=3 ?	If $f (x) = 2 x$ and $g (x) = 5 x$ ; what is $f (g (x))$ when $x = 3$ ?
38894	Solve the Absolute Value Inequality for x	\|x-2\|-3<=0	$\| x - 2 \| - 3 \leq 0$
38895	Add	x^2+3x+-2x^2+9x+5	$x^{2} + 3 x + - 2 x^{2} + 9 x + 5$
38896	Find the Derivative - d/dx	( natural log of 2x)/x	$\frac{\ln (2 x)}{x}$
38897	Simplify	(LT^-1)^2	${(L T^{- 1})}^{2}$
38898	Simplify	4^-3(8)^2	$4^{- 3} {(8)}^{2}$
38899	Evaluate the Function	f(x)=(7x-4)/(4x-12) at x=3	$f (x) = \frac{7 x - 4}{4 x - 12}$ at $x = 3$
38900	Add	1/6+2/6+3/6+4/6+5/6+6/6	$\frac{1}{6} + \frac{2}{6} + \frac{3}{6} + \frac{4}{6} + \frac{5}{6} + \frac{6}{6}$