Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
212901	Multiply	square root of 18a^2*4 square root of 3a^2	$\sqrt{18 a^{2}} \cdot 4 \sqrt{3 a^{2}}$
212902	Solve for n	square root of 15-n = square root of 3n-5	$\sqrt{15 - n} = \sqrt{3 n - 5}$
212903	Combine Like Terms	x+2x+3x	$x + 2 x + 3 x$
212904	Factor	a^2b^2-c^4	$a^{2} b^{2} - c^{4}$
212905	Solve the Inequality for k	10/3k>=-10	$\frac{10}{3} k \geq - 10$
212906	Simplify	9 square root of 6a-11 square root of 6a+4 square root of 6a	$9 \sqrt{6 a} - 11 \sqrt{6 a} + 4 \sqrt{6 a}$
212907	Graph	Graph 3x+4y=12	Graph $3 x + 4 y = 12$
212908	Evaluate	2*(1/3)^2	$2 \cdot {(\frac{1}{3})}^{2}$
212909	Evaluate	2*(1/3)^-2	$2 \cdot {(\frac{1}{3})}^{- 2}$
212910	Simplify	(7a)/(12b)-(2a)/(15b)	$\frac{7 a}{12 b} - \frac{2 a}{15 b}$
212911	Subtract	(6n^2+11n^3+2n)-(4n-3+5n^2)	$(6 n^{2} + 11 n^{3} + 2 n) - (4 n - 3 + 5 n^{2})$
212912	Write in Standard Form	(710^5)÷(210^2)	$(7 \cdot 10^{5}) \div (2 \cdot 10^{2})$
212913	Evaluate	5% of 60	$5 %$ of $60$
212914	Simplify	-8i+(-i)	$- 8 i + (- i)$
212915	Simplify	((8x-56)/(x^2-49))÷((x-6)/(x^2+11x+28))	$\frac{8 x - 56}{x^{2} - 49} \div \frac{x - 6}{x^{2} + 11 x + 28}$
212916	Simplify	fourth root of cube root of 81	$\sqrt[4]{\sqrt[3]{81}}$
212917	Solve for x	1/7(x+9)^(3/2)=49	$\frac{1}{7} {(x + 9)}^{\frac{3}{2}} = 49$
212918	Solve for x	x÷0.4=2 1/9÷3 1/6	$x \div 0.4 = 2 \frac{1}{9} \div 3 \frac{1}{6}$
212919	Solve the Inequality for x	-x^2+86<2x+6	$- x^{2} + 86 < 2 x + 6$
212920	Simplify	(x^3y^6)^(1/2)	${(x^{3} y^{6})}^{\frac{1}{2}}$
212921	Graph	(x-1)^2+y^2<=4	${(x - 1)}^{2} + y^{2} \leq 4$
212922	Simplify	(-64/125)^(-2/3)	${(- \frac{64}{125})}^{\frac{- 2}{3}}$
212923	Simplify	-6x+(2y+4x)-(x-y)-3y	$- 6 x + (2 y + 4 x) - (x - y) - 3 y$
212924	Solve the System of Equations	2x+3y+z=-1 3x+3y+z=1 2x+4y+z=-2	$2 x + 3 y + z = - 1$ $3 x + 3 y + z = 1$ $2 x + 4 y + z = - 2$
212925	Solve the Inequality for h	\|3h-3\|<12	$\| 3 h - 3 \| < 12$
212926	Simplify	(p^3)(2p^2-4p)(3p^2-1)	$(p^{3}) (2 p^{2} - 4 p) (3 p^{2} - 1)$
212927	Simplify	( square root of 16a^4b^8)/( square root of 3a)	$\frac{\sqrt{16 a^{4} b^{8}}}{\sqrt{3 a}}$
212928	Evaluate	( fifth root of 243/32)^3	${(\sqrt[5]{\frac{243}{32}})}^{3}$
212929	Simplify	(-a^2)^4*(3ab^5)^3	${(- a^{2})}^{4} \cdot {(3 a b^{5})}^{3}$
212930	Simplify	0^-2	$0^{- 2}$
212931	Solve for t	2cos(2t)=- square root of 3	$2 \cos (2 t) = - \sqrt{3}$
212932	Solve for x	(4x-10)/x=8	$\frac{4 x - 10}{x} = 8$
212933	Simplify	(sec(x)^2)^2	${(\sec^{2} (x))}^{2}$
212934	Solve for x	y=4x y=20	$y = 4 x$ $y = 20$
212935	Simplify	(n^5)(n^2)(r^3)(r^4)	$(n^{5}) (n^{2}) (r^{3}) (r^{4})$
212936	Find the x and y Intercepts	f(x)=-1/((x+3)^2)+2	$f (x) = - \frac{1}{{(x + 3)}^{2}} + 2$
212937	Find the Domain and Range	(x^2-1)/(x^2+1)	$\frac{x^{2} - 1}{x^{2} + 1}$
212938	Evaluate the Function	f(x)=3 cube root of x^4-3x^2-64/x at x=8	$f (x) = 3 \sqrt[3]{x^{4}} - 3 x^{2} - \frac{64}{x}$ at $x = 8$
212939	Simplify	(x4/3)/(x1/3)	$\frac{x \frac{4}{3}}{x \frac{1}{3}}$
212940	Divide	(12x^ay^b)÷(-6x^ay)	$12 x^{a} y^{b} \div (- 6 x^{a} y)$
212941	Solve for x	4(2x-5)^(1/3)+17=37	$4 {(2 x - 5)}^{\frac{1}{3}} + 17 = 37$
212942	Evaluate the Function	g(4/3)=x/( square root of 9-x^2)	$g (\frac{4}{3}) = \frac{x}{\sqrt{9 - x^{2}}}$
212943	Evaluate the Function	f(x)=5^x for x=4	$f (x) = 5^{x}$ for $x = 4$
212944	Solve for y	-4x+1/2y=1	$- 4 x + \frac{1}{2} y = 1$
212945	Solve for m	e^(m-6)=4	$e^{m - 6} = 4$
212946	Divide	(3x^5-2x^3+5x)/(x^2)	$\frac{3 x^{5} - 2 x^{3} + 5 x}{x^{2}}$
212947	Solve for x	(x+3)^4=362	${(x + 3)}^{4} = 362$
212948	Find the LCM	14 and 4	$14$ and $4$
212949	Simplify	square root of 6* square root of 7	$\sqrt[2]{6} \cdot \sqrt{7}$
212950	Solve the Inequality for x	3/4(-8x-4)-2x>5	$\frac{3}{4} (- 8 x - 4) - 2 x > 5$
212951	Solve the Inequality for q	8+ square root of 2q<=5	$8 + \sqrt{2 q} \leq 5$
212952	Evaluate	x^5*x^-1	$x^{5} \cdot x^{- 1}$
212953	Find the Exact Value	\|1-i\|	$\| 1 - i \|$
212954	Solve by Addition/Elimination	3/4x-5/6y=23/4 -3/4x+1/12y=-5/4	$\frac{3}{4} x - \frac{5}{6} y = \frac{23}{4}$ $- \frac{3}{4} x + \frac{1}{12} y = - \frac{5}{4}$
212955	Simplify	((7g)/(y^2))÷21g^3	$\frac{7 g}{y^{2}} \div 21 g^{3}$
212956	Find the Excluded Values	1/(x-2)-4/(x+4)=6/(x^2+2x-8)	$\frac{1}{x - 2} - \frac{4}{x + 4} = \frac{6}{x^{2} + 2 x - 8}$
212957	Write the Fraction in Simplest Form	(-3(y^-2)^3)/(5y^2)	$\frac{- 3 {(y^{- 2})}^{3}}{5 y^{2}}$
212958	Evaluate	f(2)+f(5)	$f (2) + f (5)$
212959	Evaluate the Function	F(3)=1/3*4^x	$F (3) = \frac{1}{3} \cdot 4^{x}$
212960	Solve the System of Equations	x-y+z=-6 3x-y-3z=10 x+y+z=-8	$x - y + z = - 6$ $3 x - y - 3 z = 10$ $x + y + z = - 8$
212961	Find the Inverse	y=x/2-1	$y = \frac{x}{2} - 1$
212962	Graph	yy<2	$y \cdot y < 2$
212963	Graph	f(x)=cos(-x/2)	$f (x) = \cos (- \frac{x}{2})$
212964	Solve the System of Equations	0.6x-y=3.25 2-0.5x=0.1y	$0.6 x - y = 3.25$ $2 - 0.5 x = 0.1 y$
212965	Simplify	-8(5a+2z-3b)+5z-4b+12a	$- 8 (5 a + 2 z - 3 b) + 5 z - 4 b + 12 a$
212966	Find the GCF	30xy^2z+25x^2yz^2-5yz	$30 x y^{2} z + 25 x^{2} y z^{2} - 5 y z$
212967	Write in Standard Form	log base x of 5+ log base x of 12=7	$\log_{x} (5) + \log_{x} (12) = 7$
212968	Simplify the Radical Expression	cube root of (8a^2)/27	$\sqrt[3]{\frac{8 a^{2}}{27}}$
212969	Solve the System of Equations	x^2+y^2=16 y+4=x^2	$x^{2} + y^{2} = 16$ $y + 4 = x^{2}$
212970	Find the Function	f(x)=-2/3x+5	$f (x) = - \frac{2}{3} x + 5$
212971	Factor	f(x)=25x^5-50x^4-x+2	$f (x) = 25 x^{5} - 50 x^{4} - x + 2$
212972	Simplify	arccos(csc(pi/3))	$\arccos (\csc (\frac{π}{3}))$
212973	Solve for y	z=(3piy^3)/12	$z = \frac{3 π y^{3}}{12}$
212974	Solve for θ	theta=(-7pi)/4	$θ = \frac{- 7 π}{4}$
212975	Convert to a Decimal	30deg to rad	$30$ degrees to radians
212976	Evaluate	10/(x^2-2x)+4/x=5/(x-2)	$\frac{10}{x^{2} - 2 x} + \frac{4}{x} = \frac{5}{x - 2}$
212977	Simplify	( fifth root of 3b)^5	${(\sqrt[5]{3 b})}^{5}$
212978	Simplify	(3^-2)/((3^2)^-1)	$\frac{3^{- 2}}{{(3^{2})}^{- 1}}$
212979	Write the Fraction in Simplest Form	(1/1000)^(1/3)	${(\frac{1}{1000})}^{\frac{1}{3}}$
212980	Subtract	-7x^2+4x+2-x^2-3	$- 7 x^{2} + 4 x + 2 - x^{2} - 3$
212981	Evaluate Using the Given Value	1/2x^4-1/4x^2 for x=2	$\frac{1}{2} x^{4} - \frac{1}{4} x^{2}$ for $x = 2$
212982	Solve the Rational Equation for m	fourth root of (7^2)/m=( fourth root of 7^2)/( fourth root of m)	$\sqrt[4]{\frac{7^{2}}{m}} = \frac{\sqrt[4]{7^{2}}}{\sqrt[4]{m}}$
212983	Divide Using Long Polynomial Division	(x^5+6x+2)/x	$\frac{x^{5} + 6 x + 2}{x}$
212984	Simplify	(x^4-5x^3)/(4x^5-20x^4)	$\frac{x^{4} - 5 x^{3}}{4 x^{5} - 20 x^{4}}$
212985	Simplify	(2m)/((2n^-3)^-1)	$\frac{2 m}{{(2 n^{- 3})}^{- 1}}$
212986	Write in Exponential Form	( square root of 3xy)^5	${(\sqrt{3 x y})}^{5}$
212987	Solve the Inequality for v	14v<=14	$14 v \leq 14$
212988	Solve the Inequality for x	log base 3 of x+ log base 3 of 6>=2	$\log_{3} (x) + \log_{3} (6) \geq 2$
212989	Simplify the Radical Expression	y^-4*y^3	$y^{- 4} \cdot y^{3}$
212990	Solve for x	2/8=(x+4)/(x-4)	$\frac{2}{8} = \frac{x + 4}{x - 4}$
212991	Solve for x	14 2/5x+6.55=-11 1/8x-2.45+17x	$14 \frac{2}{5} x + 6.55 = - 11 \frac{1}{8} x - 2.45 + 17 x$
212992	Solve for k	(k-4)^2=-3	${(k - 4)}^{2} = - 3$
212993	Find the End Behavior	y=-x^4+x^3-x^2+1-1	$y = - x^{4} + x^{3} - x^{2} + 1 - 1$
212994	Solve the Absolute Value Inequality for c	\|-2c-3\|>-4	$\| - 2 c - 3 \| > - 4$
212995	Solve the Inequality for x	3x^2-54x<=-3x-210	$3 x^{2} - 54 x \leq - 3 x - 210$
212996	Simplify	(12xy-8x+3y)+(15x-7y-8xy)	$(12 x y - 8 x + 3 y) + (15 x - 7 y - 8 x y)$
212997	Evaluate	1*2^-1	$1 \cdot 2^{- 1}$
212998	Solve for x	5x^2-9-3x^2+4=27	$5 x^{2} - 9 - 3 x^{2} + 4 = 27$
212999	Solve for x	4/x+x=5	$\frac{4}{x} + x = 5$
213000	Solve for x	5x+y=-9y	$5 x + y = - 9 y$