Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
227801	Simplify	(x-7)/(x+1)-5/(x+6)	$\frac{x - 7}{x + 1} - \frac{5}{x + 6}$
227802	Simplify	fourth root of 2/9	$\sqrt[4]{\frac{2}{9}}$
227803	Convert to Interval Notation	2x+5<=-10 or 2x+5>=10	$2 x + 5 \leq - 10$ or $2 x + 5 \geq 10$
227804	Find the Excluded Values	(x+2)/(7x+3)	$\frac{x + 2}{7 x + 3}$
227805	Solve for x	2 log of square root of 3+ log of x-3=3	$2 \log (\sqrt{3}) + \log (x - 3) = 3$
227806	Write in Standard Form	5b^2+2n	$5 b^{2} + 2 n$
227807	Simplify	(-1/(x+4)-3/(x-3))/(1/(x+4)-4/(x-3))	$\frac{- \frac{1}{x + 4} - \frac{3}{x - 3}}{\frac{1}{x + 4} - \frac{4}{x - 3}}$
227808	Solve the Inequality for a	1+5/(a-1)<=7/6	$1 + \frac{5}{a - 1} \leq \frac{7}{6}$
227809	Solve the Rational Equation for w	( fourth root of 7w-5)/2 = fourth root of w-2	$\frac{\sqrt[4]{7 w - 5}}{2} = \sqrt[4]{w - 2}$
227810	Simplify	(-5y^4-2)+(-5+7y^2+8y^4)+(2-9y^4)	$(- 5 y^{4} - 2) + (- 5 + 7 y^{2} + 8 y^{4}) + (2 - 9 y^{4})$
227811	Simplify	4/(25x^3)+1/5	$\frac{4}{25 x^{3}} + \frac{1}{5}$
227812	Solve by Substitution	5x=2y+50 2y+38=3x	$5 x = 2 y + 50$ $2 y + 38 = 3 x$
227813	Solve for b	(a+1)b=a+1	$(a + 1) b = a + 1$
227814	Solve the Inequality for z	-2/3>z/5	$- \frac{2}{3} > \frac{z}{5}$
227815	Convert to Interval Notation	x<3 and x>-4	$x < 3$ and $x > - 4$
227816	Simplify	(1/2p^2q)^3(2pq^2)^4	${(\frac{1}{2} p^{2} q)}^{3} {(2 p q^{2})}^{4}$
227817	Solve for x	1/3(24x-54)=11(x-4)+5	$\frac{1}{3} (24 x - 54) = 11 (x - 4) + 5$
227818	Simplify	(x-4x^2+7)-(-5x^2+5x-3)	$(x - 4 x^{2} + 7) - (- 5 x^{2} + 5 x - 3)$
227819	Solve for a	2a+9b=-5+f	$2 a + 9 b = - 5 + f$
227820	Factor	2ax-by-ay+2bx	$2 a x - b y - a y + 2 b x$
227821	Solve by Substitution	y=-2x^2-4x-1 y=2x+4	$y = - 2 x^{2} - 4 x - 1$ $y = 2 x + 4$
227822	Graph	2\|x\|-6<=10	$2 \| x \| - 6 \leq 10$
227823	Evaluate	((2^2x^2)/(xy^3))^2	${(\frac{2^{2} x^{2}}{x y^{3}})}^{2}$
227824	Simplify	square root of (x^4y^4)/(z^3)	$\sqrt{\frac{x^{4} y^{4}}{z^{3}}}$
227825	Solve for t	2/5=30/(3t+9)	$\frac{2}{5} = \frac{30}{3 t + 9}$
227826	Write the Fraction in Simplest Form	((-4d^4)^2)/(-5d^-10)	$\frac{{(- 4 d^{4})}^{2}}{- 5 d^{- 10}}$
227827	Find the Domain and Range	f(x)=2sec(2(x-pi))	$f (x) = 2 \sec (2 (x - π))$
227828	Write with Rational (Fractional) Exponents	(n root of a)^n	${(\sqrt[n]{a})}^{n}$
227829	Multiply	9(5/6)	$9 (\frac{5}{6})$
227830	Simplify	6/(3x)+(x+5)/(x^3)+(1-2x^2)/(x^4)	$\frac{6}{3 x} + \frac{x + 5}{x^{3}} + \frac{1 - 2 x^{2}}{x^{4}}$
227831	Simplify	(27a^-6b^4c^8)/(9a^2b^-2c^8)	$\frac{27 a^{- 6} b^{4} c^{8}}{9 a^{2} b^{- 2} c^{8}}$
227832	Find All Complex Solutions	square root of 9=9^(1/2)	$\sqrt{9} = 9^{\frac{1}{2}}$
227833	Solve the System of Equations	4x=-12y+16 and x+3y=4	$4 x = - 12 y + 16$ and $x + 3 y = 4$
227834	Divide	(x^3+43-49x-7x^2)÷(x^2-49)	$(x^{3} + 43 - 49 x - 7 x^{2}) \div (x^{2} - 49)$
227835	Solve the Inequality for a	5(a-3)<=5a-6	$5 (a - 3) \leq 5 a - 6$
227836	Solve for m	7m+11-5m-2=2m-9	$7 m + 11 - 5 m - 2 = 2 m - 9$
227837	Simplify	2x(x^2-5)-4x(x^2-1)	$2 x (x^{2} - 5) - 4 x (x^{2} - 1)$
227838	Simplify the Radical Expression	1/( square root of 2^3)	$\frac{1}{\sqrt{2^{3}}}$
227839	Evaluate	(tan(pi/4))/2-1/(csc(pi/6))	$\frac{\tan (\frac{π}{4})}{2} - \frac{1}{\csc (\frac{π}{6})}$
227840	Factor	6c^3d-12c^2d^2+3cd	$6 c^{3} d - 12 c^{2} d^{2} + 3 c d$
227841	Expand Using the Binomial Theorem	(3x^5-1/9y^3)^4	${(3 x^{5} - \frac{1}{9} y^{3})}^{4}$
227842	Evaluate	(cos(x))/(1+sin(x))+(1+sin(x))/(cos(x))	$\frac{\cos (x)}{1 + \sin (x)} + \frac{1 + \sin (x)}{\cos (x)}$
227843	Solve for x	-1x+10=5	$- 1 x + 10 = 5$
227844	Solve for x	log base 125 of x<1/3	$\log_{125} (x) < \frac{1}{3}$
227845	Solve for x	2sin(2x)=3cos(2x)	$2 \sin (2 x) = 3 \cos (2 x)$
227846	Evaluate	8x+4(4x-3)=4(6x+4)-4	$8 x + 4 (4 x - 3) = 4 (6 x + 4) - 4$
227847	Factor	x^2+8xz+x+8z	$x^{2} + 8 x z + x + 8 z$
227848	Solve by Factoring	x^2=-1	$x^{2} = - 1$
227849	Evaluate	natural log of e+e	$\ln (e + e)$
227850	Solve for x	7x=x-6(-3/2x+1/6)-1	$7 x = x - 6 (- \frac{3}{2} x + \frac{1}{6}) - 1$
227851	Evaluate	2^4=x	$2^{4} = x$
227852	Evaluate	2/3 log base 2 of 128	$\frac{2}{3} \log_{2} (128)$
227853	Find the Product	-6(2/3p^8)^3	$- 6 {(\frac{2}{3} p^{8})}^{3}$
227854	Simplify	2(cos(pi/3)+isin(pi/3))*5(cos((2pi)/3)+isin((2pi)/3))	$2 (\cos (\frac{π}{3}) + i \sin (\frac{π}{3})) \cdot 5 (\cos (\frac{2 π}{3}) + i \sin (\frac{2 π}{3}))$
227855	Solve the Absolute Value Inequality for x	7\|12x+3\|-1=62	$7 \| 12 x + 3 \| - 1 = 62$
227856	Evaluate	square root of -6* square root of -12* square root of -5	$\sqrt{- 6} \cdot \sqrt{- 12} \cdot \sqrt{- 5}$
227857	Multiply	4n^4*2n^-3	$4 n^{4} \cdot 2 n^{- 3}$
227858	Graph	f(x)=-5/2*3^(-(x+2))+5	$f (x) = - \frac{5}{2} \cdot 3^{- (x + 2)} + 5$
227859	Simplify	2/(3/(x-1))	$\frac{2}{\frac{3}{x - 1}}$
227860	Simplify the Radical Expression	square root of 144+ square root of -8+ square root of 100- square root of -2	$\sqrt{144} + \sqrt{- 8} + \sqrt{100} - \sqrt{- 2}$
227861	Solve the System of Equations	2x+y=9 and x+2y=9	$2 x + y = 9$ and $x + 2 y = 9$
227862	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (1,3) and has a slope of -3 ?	What is the equation of the line that passes through the point $(1, 3)$ and has a slope of $- 3$ ?
227863	Solve the System of Inequalities	y<2x y<2x-3	$y < 2 x$ $y < 2 x - 3$
227864	Simplify	((2m^3n^-5)/(m^9n^-3))^3((m^5n^3)/(m^-1n^-3))^6	${(\frac{2 m^{3} n^{- 5}}{m^{9} n^{- 3}})}^{3} {(\frac{m^{5} n^{3}}{m^{- 1} n^{- 3}})}^{6}$
227865	Write in Standard Form	0.9*10^-1	$0.9 \times 10^{- 1}$
227866	Solve for x	-5\|2-2x\|+8<=-42	$- 5 \| 2 - 2 x \| + 8 \leq - 42$
227867	Solve by Addition/Elimination	4x-3y=8 and 5x-2y=-11	$4 x - 3 y = 8$ and $5 x - 2 y = - 11$
227868	Simplify the Radical Expression	-6 square root of 100+ square root of 36	$- 6 \sqrt{100} + \sqrt{36}$
227869	Divide Using Synthetic Division	Use synthetic division to find the result when 3x^3-7x^2-17x-12 is divided by x-4	Use synthetic division to find the result when $3 x^{3} - 7 x^{2} - 17 x - 12$ is divided by $x - 4$
227870	Simplify the Radical Expression	( square root of 3x^2y^3)/(4 square root of 5xy^3)	$\frac{\sqrt{3 x^{2} y^{3}}}{4 \sqrt{5 x y^{3}}}$
227871	Simplify	(2x^2-3x+2)+(x^2-4)	$(2 x^{2} - 3 x + 2) + (x^{2} - 4)$
227872	Find the Domain and Range	y=(x/2)^2	$y = {(\frac{x}{2})}^{2}$
227873	Graph Using a Table of Values	f(x)=3 square root of x+1	$f (x) = 3 \sqrt{x + 1}$
227874	Simplify	( square root of -4)/((3+i)-(2+3i))	$\frac{\sqrt{- 4}}{(3 + i) - (2 + 3 i)}$
227875	Divide	(-15/8)÷(3/14)	$- \frac{15}{8} \div \frac{3}{14}$
227876	Evaluate	(3pi)/2-(5pi)/6	$\frac{3 π}{2} - \frac{5 π}{6}$
227877	Identify the Sequence	1 , 3 , 9 ; dots	$1$ , $3$ , $9$ ; dots
227878	Solve the Inequality for t	-36<=3t	$- 36 \leq 3 t$
227879	Solve the System of Equations	x^2+y^2=50 -2x+y=5	$x^{2} + y^{2} = 50$ $- 2 x + y = 5$
227880	Find All Complex Solutions	x^4=16/81	$x^{4} = \frac{16}{81}$
227881	Simplify	(16m^5n^-4)/(2n^-6)	$\frac{16 m^{5} n^{- 4}}{2 n^{- 6}}$
227882	Solve for b	c=(b^2)/25	$c = \frac{b^{2}}{25}$
227883	Solve for b	(b-1)/b=3/10	$\frac{b - 1}{b} = \frac{3}{10}$
227884	Evaluate	36^(-3x+3)=(1/216)^(x+1)	$36^{- 3 x + 3} = {(\frac{1}{216})}^{x + 1}$
227885	Divide	(7-10i)/(-6-6i)	$\frac{7 - 10 i}{- 6 - 6 i}$
227886	Simplify	(3a+b)(3a-b)(2a+5b)	$(3 a + b) (3 a - b) (2 a + 5 b)$
227887	Find the x and y Intercepts	f(x)=-1/2* natural log of x+3	$f (x) = - \frac{1}{2} \cdot \ln (x + 3)$
227888	Solve the Inequality for x	-2(4-x)+x>-25	$- 2 (4 - x) + x > - 25$
227889	Simplify	(x^2-3x-4)/(x^2+4x+3)*(x^2+8x+15)/(x-4)	$\frac{x^{2} - 3 x - 4}{x^{2} + 4 x + 3} \cdot \frac{x^{2} + 8 x + 15}{x - 4}$
227890	Simplify	(-2/3)/(( square root of 5)/3)	$\frac{- \frac{2}{3}}{\frac{\sqrt{5}}{3}}$
227891	Simplify the Radical Expression	x^3 cube root of 250x^6y^6	$x^{3} \sqrt[3]{250 x^{6} y^{6}}$
227892	Find the Exact Value	sec((3pi)/2)^2-tan((3pi)/2)^2	$\sec^{2} (\frac{3 π}{2}) - \tan^{2} (\frac{3 π}{2})$
227893	Factor by Grouping	y(a-c)+5a-5c	$y (a - c) + 5 a - 5 c$
227894	Graph	x>=-3 1/2	$x \geq - 3 \frac{1}{2}$
227895	Simplify	((5y+5)/2)÷((25y-20)/(40y^2-32y))	$\frac{5 y + 5}{2} \div \frac{25 y - 20}{40 y^{2} - 32 y}$
227896	Solve for x	square root of 3-x+ square root of x+2=3	$\sqrt{3 - x} + \sqrt{x + 2} = 3$
227897	Find the Discriminant	-7x^2+16x=8x	$- 7 x^{2} + 16 x = 8 x$
227898	Evaluate	i^8i^15i^28*i^25	$i^{8} \cdot i^{15} \cdot i^{28} \cdot i^{25}$
227899	Simplify	cube root of (5a^2b)^6	$\sqrt[3]{{(5 a^{2} b)}^{6}}$
227900	Evaluate	-5+1*3-(7-2^3)	$- 5 + 1 \cdot 3 - (7 - 2^{3})$