Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
221901	Find the Degree, Leading Term, and Leading Coefficient	f(x)=(x+1)(x-2)(x-4)	$f (x) = (x + 1) (x - 2) (x - 4)$
221902	Simplify	3/( square root of 10+2)	$\frac{3}{\sqrt{10 + 2}}$
221903	Solve the Inequality for z	7+z<3	$7 + z < 3$
221904	Evaluate	5(-1)^4+7(-1)^3-2(-1)^2-3*-1+c	$5 {(- 1)}^{4} + 7 {(- 1)}^{3} - 2 {(- 1)}^{2} - 3 \cdot - 1 + c$
221905	Simplify	15 root of 54^5	$\sqrt[15]{54^{5}}$
221906	Simplify	4x+2-1/2x	$4 x + 2 - \frac{1}{2} x$
221907	Evaluate	(x^-6*x^-3)/(x^-8)	$\frac{x^{- 6} \cdot x^{- 3}}{x^{- 8}}$
221908	Solve for d	V = square root of e/d	$V = \sqrt{\frac{e}{d}}$
221909	Find the Quotient	(x^3+8x+8)/(x-2)	$\frac{x^{3} + 8 x + 8}{x - 2}$
221910	Solve the System of Equations	y=2x-3 and x=2	$y = 2 x - 3$ and $x = 2$
221911	Simplify the Radical Expression	(3^3*6^6)^-3	${(3^{3} \cdot 6^{6})}^{- 3}$
221912	Solve Over the Interval	sin(x)-1=0 on 0<=x<2pi	$\sin (x) - 1 = 0$ on $0 \leq x < 2 π$
221913	Multiply	-4/3*9/5	$- \frac{4}{3} \cdot \frac{9}{5}$
221914	Evaluate	(3/2)^-2*9/16	${(\frac{3}{2})}^{- 2} \cdot \frac{9}{16}$
221915	Simplify	((2k+5)/(2k^4+5k^3))÷((35k^2+2k-1)/(7k^3-k^2))	$\frac{2 k + 5}{2 k^{4} + 5 k^{3}} \div \frac{35 k^{2} + 2 k - 1}{7 k^{3} - k^{2}}$
221916	Solve for x	1/(3x^2)-1/x=1/(6x^2)	$\frac{1}{3 x^{2}} - \frac{1}{x} = \frac{1}{6 x^{2}}$
221917	Find the Exact Value	cot(arccos(-( square root of 3)/3))	$\cot (\arccos (- \frac{\sqrt{3}}{3}))$
221918	Solve for x	7 square root of 6=x square root of 10	$7 \sqrt{6} = x \sqrt{10}$
221919	Simplify	(9-6 square root of 2)/( square root of 30)	$\frac{9 - 6 \sqrt{2}}{\sqrt{30}}$
221920	Solve for w	fourth root of w=-5	$\sqrt[4]{w} = - 5$
221921	Graph	y>-x y>x	$y > - x$ $y > x$
221922	Solve for x	y=x^2+x	$y = x^{2} + x$
221923	Solve for z	z^6=-64	$z^{6} = - 64$
221924	Divide	( square root of 56x^5y^5)/( square root of 7xy)	$\frac{\sqrt{56 x^{5} y^{5}}}{\sqrt{7 x y}}$
221925	Simplify	3^2x^3y^0z^5	$3^{2} x^{3} y^{0} z^{5}$
221926	Divide Using Synthetic Division	(6x^5+5x^4+x^3-3x^2+x)/(3x+1)	$\frac{6 x^{5} + 5 x^{4} + x^{3} - 3 x^{2} + x}{3 x + 1}$
221927	Simplify	1/x+1/(3x)+2/3	$\frac{1}{x} + \frac{1}{3 x} + \frac{2}{3}$
221928	Evaluate	(15/16)^60	${(\frac{15}{16})}^{60}$
221929	Divide Using Synthetic Division	Use synthetic division to find the result when x^3-6x^2-3x+8 is divided by x-1	Use synthetic division to find the result when $x^{3} - 6 x^{2} - 3 x + 8$ is divided by $x - 1$
221930	Solve the System of Inequalities	y<=-x-6 y>2x-3	$y \leq - x - 6$ $y > 2 x - 3$
221931	Find the Domain and Range	f(x)=-8\|8x+1\|	$f (x) = - 8 \| 8 x + 1 \|$
221932	Evaluate	2(5/2-3)+6(1/3+5/2)	$2 (\frac{5}{2} - 3) + 6 (\frac{1}{3} + \frac{5}{2})$
221933	Find the Product	cube root of x* square root of 2x	$\sqrt[3]{x} \cdot \sqrt{2 x}$
221934	Graph	f(x)=(1 1/6)^x	$f (x) = {(1 \frac{1}{6})}^{x}$
221935	Evaluate	(a^3)^3*a^-9	${(a^{3})}^{3} \cdot a^{- 9}$
221936	Evaluate	cot(theta)^2(1+tan(theta)^2)	$\cot^{2} (θ) (1 + \tan^{2} (θ))$
221937	Simplify	(x^(1/8)y^(1/4)z^(1/2))^8	${(x^{\frac{1}{8}} y^{\frac{1}{4}} z^{\frac{1}{2}})}^{8}$
221938	Simplify the Radical Expression	- cube root of -48x^5y^6	$- \sqrt[3]{- 48 x^{5} y^{6}}$
221939	Graph	2y<=4x+8	$2 y \leq 4 x + 8$
221940	Simplify the Radical Expression	fourth root of (a^4)/(b^8)	$\sqrt[4]{\frac{a^{4}}{b^{8}}}$
221941	Factor	9x^3-3x^2-3x+1=0	$9 x^{3} - 3 x^{2} - 3 x + 1 = 0$
221942	Multiply	1110987654321	$11 \cdot 10 \cdot 9 \cdot 8 \cdot 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1$
221943	Evaluate	4 1/21/4+2.51/4+71/21/2	$4 \frac{1}{2} \cdot \frac{1}{4} + 2.5 \cdot \frac{1}{4} + 7 \cdot \frac{1}{2} \cdot \frac{1}{2}$
221944	Describe the Transformation	y=x/(x+1)	$y = \frac{x}{x + 1}$
221945	Solve the Inequality for x	6/5(1/3x+1)-1>-x	$\frac{6}{5} (\frac{1}{3} x + 1) - 1 > - x$
221946	Simplify	(m^7n^4p)/(m^3n^3p)	$\frac{m^{7} n^{4} p}{m^{3} n^{3} p}$
221947	Determine the Possible Number of Real Roots	x^4+2x^3-4x^2+x=0	$x^{4} + 2 x^{3} - 4 x^{2} + x = 0$
221948	Solve for m	-46=21+3m	$- 46 = 21 + 3 m$
221949	Simplify	(3b^-5c^2d^4)^2	${(3 b^{- 5} c^{2} d^{4})}^{2}$
221950	Simplify	2/5a^6bc^3*3/4a^11b^4c^8	$\frac{2}{5} a^{6} b c^{3} \times \frac{3}{4} a^{11} b^{4} c^{8}$
221951	Simplify the Radical Expression	(y^(4/3)*y^(2/3))^(-1/2)	${(y^{\frac{4}{3}} \cdot y^{\frac{2}{3}})}^{- \frac{1}{2}}$
221952	Evaluate	(5^-1)/(5^-2)*5^-3	$\frac{5^{- 1}}{5^{- 2}} \cdot 5^{- 3}$
221953	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (8,1) and has a slope of 3/4 ?	What is the equation of the line that passes through the point $(8, 1)$ and has a slope of $\frac{3}{4}$ ?
221954	Simplify	(2 square root of 8+3 square root of 5)(7 square root of 5)	$(2 \sqrt{8} + 3 \sqrt{5}) (7 \sqrt{5})$
221955	Simplify	4 cube root of 25x^5* cube root of 5x	$4 \sqrt[3]{25 x^{5}} \cdot \sqrt[3]{5 x}$
221956	Simplify	(2a-20)/(6a)*(a-9)/(a-10)	$\frac{2 a - 20}{6 a} \cdot \frac{a - 9}{a - 10}$
221957	Simplify the Radical Expression	( cube root of 3)/( square root of 3)	$\frac{\sqrt[3]{3}}{\sqrt{3}}$
221958	Simplify	5+x+3+2x	$5 + x + 3 + 2 x$
221959	Solve Using the Square Root Property	2x^2-20x+50=-128	$2 x^{2} - 20 x + 50 = - 128$
221960	Solve the Inequality for x	-3x^2+39x-126>-6	$- 3 x^{2} + 39 x - 126 > - 6$
221961	Solve for x	sin(90 degrees -x)=-( square root of 3)/2	$\sin (90 ° - x) = - \frac{\sqrt{3}}{2}$
221962	Solve for u	8u+13=7u+5u-11	$8 u + 13 = 7 u + 5 u - 11$
221963	Find the Third Term	a_n=((n+1)!)/((n+2)!)	$a_{n} = \frac{(n + 1)!}{(n + 2)!}$
221964	Find the Domain and Range	f(x)=1/4(x+6)^2	$f (x) = \frac{1}{4} {(x + 6)}^{2}$
221965	Write in Slope-Intercept Form	-1/2x+y-3=0	$- \frac{1}{2} x + y - 3 = 0$
221966	Factor	3a(2+y)+4b(y+2)	$3 a (2 + y) + 4 b (y + 2)$
221967	Solve for q	9(-3q-9)+7=-2(18q-17)	$9 (- 3 q - 9) + 7 = - 2 (18 q - 17)$
221968	Solve for a	a+3/4a=21	$a + \frac{3}{4} a = 21$
221969	Find the Domain and Range	y=-3 cube root of x-1	$y = - 3 \sqrt[3]{x} - 1$
221970	Find the Degree, Leading Term, and Leading Coefficient	f(x)=-5x^2-6-4x	$f (x) = - 5 x^{2} - 6 - 4 x$
221971	Factor	r^2-6r-9s^2+9	$r^{2} - 6 r - 9 s^{2} + 9$
221972	Simplify	((3a^-4)/(b^7))^3	${(\frac{3 a^{- 4}}{b^{7}})}^{3}$
221973	Find the Domain and Range	y=2sin(3x+pi)-1	$y = 2 \sin (3 x + π) - 1$
221974	Solve for r	-1=-3(3r-8)-7	$- 1 = - 3 (3 r - 8) - 7$
221975	Find the Exact Value	e^(-2 natural log of 2)	$e^{- 2 \ln (2)}$
221976	Solve by Substitution	y=x+4 2x-2y=10	$y = x + 4$ $2 x - 2 y = 10$
221977	Evaluate	x+3 = square root of x+33	$x + 3 = \sqrt{x + 33}$
221978	Find the Roots (Zeros)	f(x)=(2x^2+5x-12)/(x+4)	$f (x) = \frac{2 x^{2} + 5 x - 12}{x + 4}$
221979	Simplify	(x-3)/4+7/4x	$\frac{x - 3}{4} + \frac{7}{4} x$
221980	Simplify	(m^4)/(m^8p)	$\frac{m^{4}}{m^{8} p}$
221981	Simplify	2*( square root of 3)/2	$2 \cdot \frac{\sqrt{3}}{2}$
221982	Solve for p	7p+3w=w-12-3p	$7 p + 3 w = w - 12 - 3 p$
221983	Divide	(6%)÷12	$6 % \div 12$
221984	Simplify the Radical Expression	cube root of -6x^5* cube root of 18x^4	$\sqrt[3]{- 6 x^{5}} \cdot \sqrt[3]{18 x^{4}}$
221985	Evaluate	cube root of ((110^-3)^2(10^410^2))/((10^6)^-1(10)^3)	$\sqrt[3]{\frac{{(1 \times 10^{- 3})}^{2} (10^{4} \times 10^{2})}{{(10^{6})}^{- 1} {(10)}^{3}}}$
221986	Solve the Inequality for g	g/-5<-18	$\frac{g}{- 5} < - 18$
221987	Simplify	(a^(2/3)b^(1/4)c^(4/5))^60	${(a^{\frac{2}{3}} b^{\frac{1}{4}} c^{\frac{4}{5}})}^{60}$
221988	Evaluate	(1-3((3^4)/4)^-1(3^3)/4)^10	${(1 - 3 \cdot {(\frac{3^{4}}{4})}^{- 1} \cdot \frac{3^{3}}{4})}^{10}$
221989	Find the Exact Value	tan(10 degrees )cot(10 degrees )	$\tan (10 °) \cot (10 °)$
221990	Convert to a Decimal	65deg	$65$ degrees
221991	Graph	y-4/3x=7	$y - \frac{4}{3} x = 7$
221992	Find the Roots (Zeros)	(x+2)	$(x + 2)$
221993	Solve for m	-3/2m=15/16	$- \frac{3}{2} m = \frac{15}{16}$
221994	Evaluate	2pi*3/2	$2 π \cdot \frac{3}{2}$
221995	Solve by Addition/Elimination	5x-3y=-7/2 8x+3y=10	$5 x - 3 y = - \frac{7}{2}$ $8 x + 3 y = 10$
221996	Solve the Inequality for x	x<=-1/5(-x+2)+2	$x \leq - \frac{1}{5} (- x + 2) + 2$
221997	Find the x and y Intercepts	f(x)=6x^4+x^3-18x^2-3x	$f (x) = 6 x^{4} + x^{3} - 18 x^{2} - 3 x$
221998	Evaluate	5^-3*(5^7)/(5^-7)	$5^{- 3} \cdot \frac{5^{7}}{5^{- 7}}$
221999	Solve for x	square root of 10-x^2-x=2	$\sqrt{10 - x^{2}} - x = 2$
222000	Graph	-4y<=16x	$- 4 y \leq 16 x$