Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
228901	Find the Third Term	A_n=n(n-1)(n-2)	$A_{n} = n (n - 1) (n - 2)$
228902	Solve for t	3sin(t)=2cos(t)^2	$3 \sin (t) = 2 \cos^{2} (t)$
228903	Simplify	(x^4y^-2z^3)/(x^-5y^2z)	$\frac{x^{4} y^{- 2} z^{3}}{x^{- 5} y^{2} z}$
228904	Evaluate	3 log base 7 of sixth root of 49	$3 \log_{7} (\sqrt[6]{49})$
228905	Simplify	(x^2-64)/(5x-1)	$\frac{x^{2} - 64}{5 x - 1}$
228906	Evaluate	((3pi)/4)/(2pi)	$\frac{\frac{3 π}{4}}{2 π}$
228907	Solve for x	1/2(-10x+4)=-4(-3+2x)+8	$\frac{1}{2} (- 10 x + 4) = - 4 (- 3 + 2 x) + 8$
228908	Find All Complex Solutions	7(2+5v)=3v+14	$7 (2 + 5 v) = 3 v + 14$
228909	Find the x and y Intercepts	f(x)=x(x+2)(x-3)(x+4)	$f (x) = x (x + 2) (x - 3) (x + 4)$
228910	Simplify	3/10+1/(5x)	$\frac{3}{10} + \frac{1}{5 x}$
228911	Evaluate	25% of 12	$25 %$ of $12$
228912	Solve for m	Solve the equation, 0.5m=45.5	Solve the equation, $0.5 m = 45.5$
228913	Simplify	1/4(70x-30(x-2))	$\frac{1}{4} (70 x - 30 (x - 2))$
228914	Solve for n	3(7-2n)=-3(5-n)	$3 (7 - 2 n) = - 3 (5 - n)$
228915	Subtract	(7x+4)/(x^2+3x+2)-(3x-2)/(x^2+3x+2)	$\frac{7 x + 4}{x^{2} + 3 x + 2} - \frac{3 x - 2}{x^{2} + 3 x + 2}$
228916	Evaluate	-1/(pi/2)	$\frac{- 1}{\frac{π}{2}}$
228917	Divide	((2k+5)/(2k^4+5k^3))÷((35k^2+2k-1)/(7k^3-k^2))	$\frac{2 k + 5}{2 k^{4} + 5 k^{3}} \div \frac{35 k^{2} + 2 k - 1}{7 k^{3} - k^{2}}$
228918	Divide	((x^2)/(x^2-x-42))÷((5x)/(x^2-36))	$\frac{x^{2}}{x^{2} - x - 42} \div \frac{5 x}{x^{2} - 36}$
228919	Factor	f(x)=x^4-18x^2+81	$f (x) = x^{4} - 18 x^{2} + 81$
228920	Solve for x	4x-(3+5x)=2(x-1)+1	$4 x - (3 + 5 x) = 2 (x - 1) + 1$
228921	Find the Remainder	x^5-32 is divided by x-2	$x^{5} - 32$ is divided by $x - 2$
228922	Find the Inverse	f(x) = cube root of 2x^5-10	$f (x) = \sqrt[3]{2 x^{5} - 10}$
228923	Simplify the Radical Expression	- square root of 36+ square root of -72- square root of 1+ square root of -162	$- \sqrt{36} + \sqrt{- 72} - \sqrt{1} + \sqrt{- 162}$
228924	Find the Degree, Leading Term, and Leading Coefficient	f(x)=0	$f (x) = 0$
228925	Convert to Interval Notation	3>=(9-w)/3>1	$3 \geq \frac{9 - w}{3} > 1$
228926	Evaluate	(8-2)^2+1/4(4-3(6-10))	${(8 - 2)}^{2} + \frac{1}{4} (4 - 3 (6 - 10))$
228927	Solve for x	2 log of 2x+2 = log of 16+2 log of x-2	$2 \log (2 x + 2) = \log (16) + 2 \log (x - 2)$
228928	Simplify	((a^2bc^4)/(a^3c^2))^-2	${(\frac{a^{2} b c^{4}}{a^{3} c^{2}})}^{- 2}$
228929	Graph	y=x^4+5x^3+2x^2-8x	$y = x^{4} + 5 x^{3} + 2 x^{2} - 8 x$
228930	Find the Exact Value	sec(75 degrees )	$\sec (75 °)$
228931	Find the Remainder	(8x^3-14x^2+19x-9)÷(1-4x)	$(8 x^{3} - 14 x^{2} + 19 x - 9) \div (1 - 4 x)$
228932	Divide	((2x+7)/(2x^4+21x^3+35x^2-37x+46))	$(\frac{2 x + 7}{2 x^{4} + 21 x^{3} + 35 x^{2} - 37 x + 46})$
228933	Find the Exact Value	-2^-1	$- 2^{- 1}$
228934	Solve by Addition/Elimination	y+4x=3 y=-4x-1	$y + 4 x = 3$ $y = - 4 x - 1$
228935	Evaluate	e^(1-1)	$e^{1 - 1}$
228936	Simplify	(x^-3x^4)/(x^8)	$\frac{x^{- 3} x^{4}}{x^{8}}$
228937	Solve Using the Quadratic Formula	(2x-3)^2-14=2x(x-7)	${(2 x - 3)}^{2} - 14 = 2 x (x - 7)$
228938	Write the Fraction in Simplest Form	(-3(h^3t^-5)^-3)/(6h^4)	$\frac{- 3 {(h^{3} t^{- 5})}^{- 3}}{6 h^{4}}$
228939	Evaluate	(2.4*11.1)/6.5	$\frac{2.4 \times 11.1}{6.5}$
228940	Simplify	(9/(x^2-14x+45)*(x-5)/(x+9))÷((4x)/(9x^3-729x))	$\frac{9}{x^{2} - 14 x + 45} \cdot \frac{x - 5}{x + 9} \div \frac{4 x}{9 x^{3} - 729 x}$
228941	Solve by Graphing	2x=12 x-5y=-29	$2 x = 12$ $x - 5 y = - 29$
228942	Solve the Inequality for x	2/3-1/2x>-1/3	$\frac{2}{3} - \frac{1}{2} x > - \frac{1}{3}$
228943	Simplify	square root of 3x^2y^2* square root of 12x^5	$\sqrt{3 x^{2} y^{2}} \cdot \sqrt{12 x^{5}}$
228944	Simplify	((4xy^-4z^3)/(12x^2yz^-2))*2	$(\frac{4 x y^{- 4} z^{3}}{12 x^{2} y z^{- 2}}) \cdot 2$
228945	Solve for w	8/(4w-8)-1=2/(w-2)	$\frac{8}{4 w - 8} - 1 = \frac{2}{w - 2}$
228946	Simplify	(3u^4v^2*3u^3v^4)/(u^4v^2)	$\frac{3 u^{4} v^{2} \cdot 3 u^{3} v^{4}}{u^{4} v^{2}}$
228947	Divide	7/( square root of 6+ square root of 5)	$\frac{7}{\sqrt{6} + \sqrt{5}}$
228948	Write in Standard Form	5a^2-7	$5 a^{2} - 7$
228949	Solve by Substitution	3x+y=2 4x+y=20	$3 x + y = 2$ $4 x + y = 20$
228950	Simplify	((x-8)/(x^2-2x))÷((3x^2-24x)/(3x^2))	$\frac{x - 8}{x^{2} - 2 x} \div \frac{3 x^{2} - 24 x}{3 x^{2}}$
228951	Evaluate	f(x+4)=x/(x^2+1)	$f (x + 4) = \frac{x}{x^{2} + 1}$
228952	Solve for x	-1/2(x+4)=3/4(x-4)	$- \frac{1}{2} (x + 4) = \frac{3}{4} (x - 4)$
228953	Factor	x^4-10x^3+9x^2-x^2+10x-9	$x^{4} - 10 x^{3} + 9 x^{2} - x^{2} + 10 x - 9$
228954	Divide	(-24x^7+9x^3-15x)/(3x^5)	$\frac{- 24 x^{7} + 9 x^{3} - 15 x}{3 x^{5}}$
228955	Simplify	square root of 10^-6	$\sqrt{10^{- 6}}$
228956	Simplify	(x^-2)/(3x^-3)	$\frac{x^{- 2}}{3 x^{- 3}}$
228957	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (5,2) and has a slope of -6/5 ?	What is the equation of the line that passes through the point $(5, 2)$ and has a slope of $- \frac{6}{5}$ ?
228958	Simplify	(8x^3*12xy^7)/(3x^2y^4)	$\frac{8 x^{3} \cdot 12 x y^{7}}{3 x^{2} y^{4}}$
228959	Simplify	7 5/7b+2 2/3b	$7 \frac{5}{7} b + 2 \frac{2}{3} b$
228960	Solve for x	x+x/3=4	$x + \frac{x}{3} = 4$
228961	Solve for x	square root of x-4-2 = square root of x-3	$\sqrt{x - 4} - 2 = \sqrt{x} - 3$
228962	Simplify	((4x^5y^2)^0(3x^2y^3)^3)/((x^3y)^3)	$\frac{{(4 x^{5} y^{2})}^{0} {(3 x^{2} y^{3})}^{3}}{{(x^{3} y)}^{3}}$
228963	Multiply	(2x^2+x-6)/(x+4)*(x^2-4x-32)/(x+2)	$\frac{2 x^{2} + x - 6}{x + 4} \cdot \frac{x^{2} - 4 x - 32}{x + 2}$
228964	Solve for x	(2x-3)^2=0	${(2 x - 3)}^{2} = 0$
228965	Solve the Inequality for x	Solve the inequality. (x-1)/(x+1)<=0	Solve the inequality. $\frac{x - 1}{x + 1} \leq 0$
228966	Evaluate	N=(t^2-t)/2	$N = \frac{t^{2} - t}{2}$
228967	Find the Roots (Zeros)	square root of 9x+10=x	$\sqrt{9 x + 10} = x$
228968	Convert to Interval Notation	5-2x>31 and 7x+8>=-55	$5 - 2 x > 31$ and $7 x + 8 \geq - 55$
228969	Simplify	(13a)/(4a^2)+(5a)/(4a^2)	$\frac{13 a}{4 a^{2}} + \frac{5 a}{4 a^{2}}$
228970	Find the x and y Intercepts	f(x)=x^2(x^2+1)(x+2)^2	$f (x) = x^{2} (x^{2} + 1) {(x + 2)}^{2}$
228971	Multiply	(-1/2)*(m^2+2n-p)	$(- \frac{1}{2}) \cdot (m^{2} + 2 n - p)$
228972	Simplify	pi(16x^2+24x+9)	$π (16 x^{2} + 24 x + 9)$
228973	Solve for c	Q=(c+d)/2	$Q = \frac{c + d}{2}$
228974	Factor by Grouping	7xy+28x^3+y+4x^2	$7 x y + 28 x^{3} + y + 4 x^{2}$
228975	Simplify	(7y^2+3xy-9)-(2y^2+3xy-5)	$(7 y^{2} + 3 x y - 9) - (2 y^{2} + 3 x y - 5)$
228976	Solve the Inequality for w	11w<=77	$11 w \leq 77$
228977	Identify the Sequence	1 , 4 , 16 ; dots	$1$ , $4$ , $16$ ; dots
228978	Simplify the Radical Expression	( square root of x^12)/( square root of 8100)	$\frac{\sqrt{x^{12}}}{\sqrt{8100}}$
228979	Find the Holes in the Graph	(2x+2)/(x^3+x^2)	$\frac{2 x + 2}{x^{3} + x^{2}}$
228980	Simplify	4(4^2-8)+(25-5^2)	$4 (4^{2} - 8) + (25 - 5^{2})$
228981	Multiply	4(-9 1/8)	$4 (- 9 \frac{1}{8})$
228982	Simplify	square root of (7x^3)/(9y)	$\sqrt{\frac{7 x^{3}}{9 y}}$
228983	Solve for y	y/2-2=-4y-11	$\frac{y}{2} - 2 = - 4 y - 11$
228984	Graph	y=x^3+x^2+x+1	$y = x^{3} + x^{2} + x + 1$
228985	Find the Roots (Zeros)	4/x=14/(5x)+2	$\frac{4}{x} = \frac{14}{5 x} + 2$
228986	Factor	(x^2+x-6)/(x^2-4)	$\frac{x^{2} + x - 6}{x^{2} - 4}$
228987	Solve the Inequality for a	30-6a<-3(5+7a)	$30 - 6 a < - 3 (5 + 7 a)$
228988	Simplify	fourth root of 36+ square root of 6	$\sqrt[4]{36} + \sqrt{6}$
228989	Factor	Factor x^2-36	Factor $x^{2} - 36$
228990	Describe the Transformation	g(x)=-f(x+2)	$g (x) = - f (x + 2)$
228991	Solve the System of Inequalities	y<2x-8 y<=-x-2	$y < 2 x - 8$ $y \leq - x - 2$
228992	Solve for x	4x^2-28=3x^2-3x	$4 x^{2} - 28 = 3 x^{2} - 3 x$
228993	Find the End Behavior	f(x)=(x+4)(x-5)	$f (x) = (x + 4) (x - 5)$
228994	Simplify the Radical Expression	((4m^2n)^2)/(2m^5n)	$\frac{{(4 m^{2} n)}^{2}}{2 m^{5} n}$
228995	Simplify	((2a^3b^6)/16)^4	${(\frac{2 a^{3} b^{6}}{16})}^{4}$
228996	Solve for x	4/( square root of x) = square root of 2	$\frac{4}{\sqrt{x}} = \sqrt{2}$
228997	Simplify	(xy2/3)1/2	$(x y \frac{2}{3}) \frac{1}{2}$
228998	Multiply	x^2(-10x^2+1)	$x^{2} (- 10 x^{2} + 1)$
228999	Graph	f(x)=x^2 if x<0; 1-x if x>0	$f (x) = {\begin{cases} x^{2} & x < 0 \\ 1 - x & x > 0 \end{cases}$
229000	Solve for x	3(7/3x+4/3)-2x+8=5x+12	$3 (\frac{7}{3} x + \frac{4}{3}) - 2 x + 8 = 5 x + 12$