Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
228801	Solve the System of Inequalities	y>1/2x+8 y<-x-1	$y > \frac{1}{2} x + 8$ $y < - x - 1$
228802	Find the Domain and Range	x/( square root of x-4)	$\frac{x}{\sqrt{x - 4}}$
228803	Simplify	cube root of 3+ cube root of 24+16	$\sqrt[3]{3} + \sqrt[3]{24} + 16$
228804	Simplify	square root of a^2b* square root of a^2b^2x	$\sqrt{a^{2} b} \cdot \sqrt{a^{2} b^{2} x}$
228805	Find All Complex Solutions	square root of x+2=5	$\sqrt{x + 2} = 5$
228806	Convert to Logarithmic Form	3=e^(4y)	$3 = e^{4 y}$
228807	Find the Exact Value	(8!)/(5!)	$\frac{8!}{5!}$
228808	Solve for x	square root of 9(x-1)=21	$\sqrt{9 (x - 1)} = 21$
228809	Simplify	(2^3)(3)^2(2^-3)	$(2^{3}) {(3)}^{2} (2^{- 3})$
228810	Find the Equation Using Two Points	f(-2)=6 and f(0)=-4	$f (- 2) = 6$ and $f (0) = - 4$
228811	Divide Using Synthetic Division	Use synthetic division to find the result when 3x^4+4x^3-21x^2-23x-15 is divided by x+3	Use synthetic division to find the result when $3 x^{4} + 4 x^{3} - 21 x^{2} - 23 x - 15$ is divided by $x + 3$
228812	Multiply	(5 square root of x- square root of 2)^2	${(5 \sqrt{x} - \sqrt{2})}^{2}$
228813	Write in Standard Form	y=(2x+3)(x-1)(x-4)	$y = (2 x + 3) (x - 1) (x - 4)$
228814	Graph	y=2f(1/2x)	$y = 2 f (\frac{1}{2} x)$
228815	Evaluate	3^(4x)=3^12	$3^{4 x} = 3^{12}$
228816	Solve for x	3^x=3/2x+4	$3^{x} = \frac{3}{2} x + 4$
228817	Solve by Substitution	8x=12 2y+10=22	$8 x = 12$ $2 y + 10 = 22$
228818	Solve for r	r^3+1=0	$r^{3} + 1 = 0$
228819	Divide	(99w^3x^4-81x^2+63w)/(-9wx)	$\frac{99 w^{3} x^{4} - 81 x^{2} + 63 w}{- 9 w x}$
228820	Write in Standard Form	(-7a^4-a+4a^2)-(-8a^2+a-7a^4)	$(- 7 a^{4} - a + 4 a^{2}) - (- 8 a^{2} + a - 7 a^{4})$
228821	Rationalize the Denominator	(5x)/( cube root of 3x^2)	$\frac{5 x}{\sqrt[3]{3 x^{2}}}$
228822	Solve the Rational Equation for x	x/(x+8)+5=-8/(x+8)	$\frac{x}{x + 8} + 5 = - \frac{8}{x + 8}$
228823	Write in Standard Form	f(x)=x^4-8x^2+x/2+4x^3+1/2	$f (x) = x^{4} - 8 x^{2} + \frac{x}{2} + 4 x^{3} + \frac{1}{2}$
228824	Divide Using Long Polynomial Division	Use the long division method to find the result when x^3+8x^2+12x-15 is divided by x+5	Use the long division method to find the result when $x^{3} + 8 x^{2} + 12 x - 15$ is divided by $x + 5$
228825	Simplify	(6+4÷2)/(4÷6-1)	$\frac{6 + 4 \div 2}{4 \div 6 - 1}$
228826	Write in Standard Form	(x^2-10x+24)-(x-6)	$(x^{2} - 10 x + 24) - (x - 6)$
228827	Simplify	( square root of x+3)/(2 square root of x-1)	$\frac{\sqrt{x} + 3}{2 \sqrt{x} - 1}$
228828	Factor by Grouping	m^3-m^2n+m-n	$m^{3} - m^{2} n + m - n$
228829	Solve for D	2sin(D)^2+sin(D)-1=0	$2 \sin^{2} (D) + \sin (D) - 1 = 0$
228830	Find the Roots (Zeros)	f(x)=(x-2)/(x^2+6x)	$f (x) = \frac{x - 2}{x^{2} + 6 x}$
228831	Simplify	(4n)/(6n^2+24n)+(6n)/(6n^2+24n)	$\frac{4 n}{6 n^{2} + 24 n} + \frac{6 n}{6 n^{2} + 24 n}$
228832	Simplify	(-4i)^2*(2i)^3	${(- 4 i)}^{2} \cdot {(2 i)}^{3}$
228833	Evaluate	3tan(x)^2-1=0	$3 \tan^{2} (x) - 1 = 0$
228834	Solve the System of Equations	m=5n-3 m=3n+7	$m = 5 n - 3$ $m = 3 n + 7$
228835	Solve the Absolute Value Inequality for x	2=\|-4x+9\|	$2 = \| - 4 x + 9 \|$
228836	Write in Standard Form	(11b^2-4b+7)-(b^2+8b-9)	$(11 b^{2} - 4 b + 7) - (b^{2} + 8 b - 9)$
228837	Solve Using the Quadratic Formula	x^4-36	$x^{4} - 36$
228838	Subtract	5 1/6-7 1/3	$5 \frac{1}{6} - 7 \frac{1}{3}$
228839	Find the Inverse	f(x)=(2(x+3)-2)/3	$f (x) = \frac{2 (x + 3) - 2}{3}$
228840	Find All Complex Solutions	3(2d-1)-2d=4(d-2)+5	$3 (2 d - 1) - 2 d = 4 (d - 2) + 5$
228841	Multiply	(x+3)/(x+2)*(x^2-x-6)/(x^2-9)	$\frac{x + 3}{x + 2} \cdot \frac{x^{2} - x - 6}{x^{2} - 9}$
228842	Simplify	((ab^2)/(cd^3))^0	${(\frac{a b^{2}}{c d^{3}})}^{0}$
228843	Simplify	( square root of 3)/( square root of 8)*( square root of 2)/( square root of 2)	$\frac{\sqrt{3}}{\sqrt{8}} \cdot \frac{\sqrt{2}}{\sqrt{2}}$
228844	Rationalize the Denominator	2/( square root of a- square root of b)	$\frac{2}{\sqrt{a} - \sqrt{b}}$
228845	Solve for x	1/16*(1/8)^x<=(1/4)^x	$\frac{1}{16} \cdot {(\frac{1}{8})}^{x} \leq {(\frac{1}{4})}^{x}$
228846	Solve by Factoring	y=x^2+2x-3	$y = x^{2} + 2 x - 3$
228847	Simplify	(x^5y^2)^3(-3x^3y^5)^2(2xz^6)	${(x^{5} y^{2})}^{3} {(- 3 x^{3} y^{5})}^{2} (2 x z^{6})$
228848	Graph	Find f(1)	Find $f (1)$
228849	Evaluate	60% of 45	$60 %$ of $45$
228850	Solve for x	8*2^(x+6)=32	$8 \cdot 2^{x + 6} = 32$
228851	Solve the System of Equations	x+y-2z=3 -x-y+3z=-2 x+2y-2z=6	$x + y - 2 z = 3$ $- x - y + 3 z = - 2$ $x + 2 y - 2 z = 6$
228852	Solve for x	4(x-3)>=25	$4 (x - 3) \geq 25$
228853	Simplify	3/4b+2 4/5b	$\frac{3}{4} b + 2 \frac{4}{5} b$
228854	Simplify the Radical Expression	3 cube root of 5y^3*2 cube root of 50y^4	$3 \sqrt[3]{5 y^{3}} \cdot 2 \sqrt[3]{50 y^{4}}$
228855	Solve the Inequality for y	-2(4y-7)+y>=2y-(-9+y)	$- 2 (4 y - 7) + y \geq 2 y - (- 9 + y)$
228856	Solve for x	3+(x-2)/(x-3)<=4	$3 + \frac{x - 2}{x - 3} \leq 4$
228857	Find the Leading Coefficient	f(x)=2x+x^3+4	$f (x) = 2 x + x^{3} + 4$
228858	Evaluate	4 cube root of 8000-6	$4 \sqrt[3]{8000 - 6}$
228859	Evaluate	8v-4(v+8)=8	$8 v - 4 (v + 8) = 8$
228860	Find the x and y Intercepts	f(x)=(x^2+2x-8)(x-6)	$f (x) = (x^{2} + 2 x - 8) (x - 6)$
228861	Factor	7ax+21x^2y	$7 a x + 21 x^{2} y$
228862	Evaluate	(6x-2)/(9x)=(2x-1)/(3x+1)	$\frac{6 x - 2}{9 x} = \frac{2 x - 1}{3 x + 1}$
228863	Simplify	1/(3x^3)+1/5	$\frac{1}{3 x^{3}} + \frac{1}{5}$
228864	Simplify	(4(-x)^2-1)/(-x^2)	$\frac{4 {(- x)}^{2} - 1}{- x^{2}}$
228865	Solve the System of Equations	x-y=-12 and -8x-4y=-12	$x - y = - 12$ and $- 8 x - 4 y = - 12$
228866	Multiply	3n(n^2-6n+5)	$3 n (n^{2} - 6 n + 5)$
228867	Simplify	square root of xy^3* cube root of x^2y	$\sqrt{x y^{3}} \cdot \sqrt[3]{x^{2} y}$
228868	Simplify	cube root of (27x^12)/9	$\sqrt[3]{\frac{27 x^{12}}{9}}$
228869	Write the Fraction in Simplest Form	(3b^-9)/((3b^-4c^-3)^-3)	$\frac{3 b^{- 9}}{{(3 b^{- 4} c^{- 3})}^{- 3}}$
228870	Evaluate the Function	f(2)=(3x^2-7)/(4x^2-3)	$f (2) = \frac{3 x^{2} - 7}{4 x^{2} - 3}$
228871	Find All Complex Solutions	2+ square root of 2x-3 = square root of x+7	$2 + \sqrt{2 x - 3} = \sqrt{x + 7}$
228872	Simplify	pi/2-(2pi)/7	$\frac{π}{2} - \frac{2 π}{7}$
228873	Solve for x	1/(2x)-1/x=2-1/(3x)	$\frac{1}{2 x} - \frac{1}{x} = 2 - \frac{1}{3 x}$
228874	Solve Using the Quadratic Formula	x=(3+- square root of (-3)^2-42-5)/(2(2))	$x = \frac{3 + - \sqrt{{(- 3)}^{2} - 4 \cdot 2 \cdot - 5}}{2 (2)}$
228875	Simplify	square root of -(-9)^2	$\sqrt{- {(- 9)}^{2}}$
228876	Solve for x	11x+3=4x^2	$11 x + 3 = 4 x^{2}$
228877	Simplify	(10+y^2)(10-y^2)	$(10 + y^{2}) (10 - y^{2})$
228878	Convert to Radical Form	(81^8)^(-1/4)	${(81^{8})}^{- \frac{1}{4}}$
228879	Simplify	((x^3)^7+x^10)/(x^4)	$\frac{{(x^{3})}^{7} + x^{10}}{x^{4}}$
228880	Simplify	( square root of 2+2 square root of 8)(3 square root of 6- square root of 5)	$(\sqrt{2} + 2 \sqrt{8}) (3 \sqrt{6} - \sqrt{5})$
228881	Simplify	square root of m^3 fourth root of m	$\sqrt{m^{3}} \sqrt[4]{m}$
228882	Factor	5t^6+2t^5-5t^4-2t^3	$5 t^{6} + 2 t^{5} - 5 t^{4} - 2 t^{3}$
228883	Simplify	(4x^2+23x+15)/(16x^2-9)*(4x^2+9x-9)/(x^2+2x-15)	$\frac{4 x^{2} + 23 x + 15}{16 x^{2} - 9} \cdot \frac{4 x^{2} + 9 x - 9}{x^{2} + 2 x - 15}$
228884	Simplify	(-10x-4x^3-7)+(14+7x-11x^3)	$(- 10 x - 4 x^{3} - 7) + (14 + 7 x - 11 x^{3})$
228885	Find the Third Term	A_n=n(n-1)(n-2)	$A_{n} = n (n - 1) (n - 2)$
228886	Solve for t	3sin(t)=2cos(t)^2	$3 \sin (t) = 2 \cos^{2} (t)$
228887	Simplify	(x^4y^-2z^3)/(x^-5y^2z)	$\frac{x^{4} y^{- 2} z^{3}}{x^{- 5} y^{2} z}$
228888	Evaluate	3 log base 7 of sixth root of 49	$3 \log_{7} (\sqrt[6]{49})$
228889	Simplify	(x^2-64)/(5x-1)	$\frac{x^{2} - 64}{5 x - 1}$
228890	Evaluate	((3pi)/4)/(2pi)	$\frac{\frac{3 π}{4}}{2 π}$
228891	Solve for x	1/2(-10x+4)=-4(-3+2x)+8	$\frac{1}{2} (- 10 x + 4) = - 4 (- 3 + 2 x) + 8$
228892	Find All Complex Solutions	7(2+5v)=3v+14	$7 (2 + 5 v) = 3 v + 14$
228893	Find the x and y Intercepts	f(x)=x(x+2)(x-3)(x+4)	$f (x) = x (x + 2) (x - 3) (x + 4)$
228894	Simplify	3/10+1/(5x)	$\frac{3}{10} + \frac{1}{5 x}$
228895	Evaluate	25% of 12	$25 %$ of $12$
228896	Solve for m	Solve the equation, 0.5m=45.5	Solve the equation, $0.5 m = 45.5$
228897	Simplify	1/4(70x-30(x-2))	$\frac{1}{4} (70 x - 30 (x - 2))$
228898	Solve for n	3(7-2n)=-3(5-n)	$3 (7 - 2 n) = - 3 (5 - n)$
228899	Subtract	(7x+4)/(x^2+3x+2)-(3x-2)/(x^2+3x+2)	$\frac{7 x + 4}{x^{2} + 3 x + 2} - \frac{3 x - 2}{x^{2} + 3 x + 2}$
228900	Evaluate	-1/(pi/2)	$\frac{- 1}{\frac{π}{2}}$