Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
216001	Solve the Inequality for y	square root of y^6=-y^3	$\sqrt{y^{6}} = - y^{3}$
216002	Simplify the Radical Expression	( fourth root of a^5)÷2 fourth root of a	$\sqrt[4]{a^{5}} \div 2 \sqrt[4]{a}$
216003	Divide Using Long Polynomial Division	(x^3+3x^2-4x-12)÷(x^2+x-6)	$(x^{3} + 3 x^{2} - 4 x - 12) \div (x^{2} + x - 6)$
216004	Evaluate	log base 3 of 2x^2=2 log base 3 of 2x	$\log_{3} (2 x^{2}) = 2 \log_{3} (2 x)$
216005	Simplify	square root of 3(6)+2^2+(8-5)+6*3^2	$\sqrt{3 (6) + 2^{2} + (8 - 5)} + 6 \cdot 3^{2}$
216006	Divide Using Synthetic Division	Use synthetic division to find the result when 3x^3+x^2-18x+18 is divided by x+3	Use synthetic division to find the result when $3 x^{3} + x^{2} - 18 x + 18$ is divided by $x + 3$
216007	Simplify	(4a-5b^2+3)+(6-2a+3b^2)	$(4 a - 5 b^{2} + 3) + (6 - 2 a + 3 b^{2})$
216008	Simplify	( square root of 6m^3n^5)/( square root of 150mn)	$\frac{\sqrt{6 m^{3} n^{5}}}{\sqrt{150 m n}}$
216009	Multiply	square root of 3* square root of 4	$\sqrt{3} \cdot \sqrt{4}$
216010	Find the Degree	r^4+r	$r^{4} + r$
216011	Solve the Inequality for x	5<=x	$5 \leq x$
216012	Simplify	3x-5+8x+3(x-4)	$3 x - 5 + 8 x + 3 (x - 4)$
216013	Solve by Factoring	3x^4-2x^2=16	$3 x^{4} - 2 x^{2} = 16$
216014	Simplify	(\|7+5\|+4\|-2\|)/(\|4-2\|)	$\frac{\| 7 + 5 \| + 4 \| - 2 \|}{\| 4 - 2 \|}$
216015	Simplify the Radical Expression	2 square root of 7x*3 square root of 14x^2	$2 \sqrt{7 x} \cdot 3 \sqrt{14 x^{2}}$
216016	Solve for x	4x+2<8x-(6x-10)	$4 x + 2 < 8 x - (6 x - 10)$
216017	Graph	(x^(-)2x^(-)3)^4	${(x^{-} \cdot 2 x^{-} \cdot 3)}^{4}$
216018	Simplify	10d-3d+2e+4d	$10 d - 3 d + 2 e + 4 d$
216019	Solve Over the Interval	16sin(theta)^2-12=0 , 0<=theta<2pi	$16 \sin^{2} (θ) - 12 = 0$ , $0 \leq θ < 2 π$
216020	Graph	square root of x+y<=1	$\sqrt{x + y} \leq 1$
216021	Solve for a	log base 7 of 6a+4 = log base 7 of 9a-5	$\log_{7} (6 a + 4) = \log_{7} (9 a - 5)$
216022	Write with Rational (Fractional) Exponents	fourth root of 10^5* cube root of 10	$\sqrt[4]{10^{5}} \cdot \sqrt[3]{10}$
216023	Simplify	6a^7b^9*2a^-3b	$6 a^{7} b^{9} \times 2 a^{- 3} b$
216024	Rationalize the Numerator	( square root of x+ square root of y)/(x^2-y^2)	$\frac{\sqrt{x} + \sqrt{y}}{x^{2} - y^{2}}$
216025	Solve for x	7=6+e^(3-2x)	$7 = 6 + e^{3 - 2 x}$
216026	Solve for x	log base cube root of 3 of x^10+6=36	$\log_{\sqrt[3]{3}} (x^{10}) + 6 = 36$
216027	Graph	3x-5y<=15 y>-2/3x+1	$3 x - 5 y \leq 15$ $y > - \frac{2}{3} x + 1$
216028	Simplify	((16x^(1/6)y^-2)/(x^(-1/6)y^6))^(3/2)	${(\frac{16 x^{\frac{1}{6}} y^{- 2}}{x^{- \frac{1}{6}} y^{6}})}^{\frac{3}{2}}$
216029	Find the GCF	a	$a$
216030	Solve for n	10^(-9n)=24	$10^{- 9 n} = 24$
216031	Find the Inverse	Find the inverse of f(x)=x^2-5	Find the inverse of $f (x) = x^{2} - 5$
216032	Find the Product	-1/4m(8m^2+m-7)	$- \frac{1}{4} m (8 m^{2} + m - 7)$
216033	Solve for x	x=(12-x)^(1/2)	$x = {(12 - x)}^{\frac{1}{2}}$
216034	Evaluate	5/9*1/2-1/6	$\frac{5}{9} \cdot \frac{1}{2} - \frac{1}{6}$
216035	Solve the Inequality for x	2x^2-5x+15>3x+9	$2 x^{2} - 5 x + 15 > 3 x + 9$
216036	Simplify	(4a^3-8a^2+a)(4a)^-1	$(4 a^{3} - 8 a^{2} + a) {(4 a)}^{- 1}$
216037	Simplify	(3x^3y^4-9x^5y^6+6x^3y^3)/(6x^3y^2)	$\frac{3 x^{3} y^{4} - 9 x^{5} y^{6} + 6 x^{3} y^{3}}{6 x^{3} y^{2}}$
216038	Evaluate	2^x=1/2	$2^{x} = \frac{1}{2}$
216039	Evaluate	((202^4-122^3-48*2^2)^2)/((-8)^3)	$\frac{{(20 \cdot 2^{4} - 12 \cdot 2^{3} - 48 \cdot 2^{2})}^{2}}{{(- 8)}^{3}}$
216040	Find the Holes in the Graph	f(x)=((x-1)(x+3))/((x+1)(x-1))	$f (x) = \frac{(x - 1) (x + 3)}{(x + 1) (x - 1)}$
216041	Simplify	2/3i*3/7i	$\frac{2}{3} i \cdot \frac{3}{7} i$
216042	Solve for x	(3x-8)/6=(2x)/10	$\frac{3 x - 8}{6} = \frac{2 x}{10}$
216043	Solve for x	10/16=15/(6x)	$\frac{10}{16} = \frac{15}{6 x}$
216044	Simplify	(2^2a^5b^3)^2	${(2^{2} a^{5} b^{3})}^{2}$
216045	Convert to a Decimal	4rev per s	$4$ revolutions per second
216046	Write in Standard Form	9a^3b^6(3a^3b^2+7a^2b^2)-(5a^4b^4)^2	$9 a^{3} b^{6} (3 a^{3} b^{2} + 7 a^{2} b^{2}) - {(5 a^{4} b^{4})}^{2}$
216047	Find the Equation Using Two Points	f(-9)=10 and f(-1)=-2	$f (- 9) = 10$ and $f (- 1) = - 2$
216048	Find the Roots (Zeros)	9x^4-18x^3+27x^2=0	$9 x^{4} - 18 x^{3} + 27 x^{2} = 0$
216049	Solve the Inequality for x	log of x> = log of 2x-1- log of 3	$\log (x) \geq \log (2 x - 1) - \log (3)$
216050	Find the GCF	1/3xy+2/3y	$\frac{1}{3} x y + \frac{2}{3} y$
216051	Find the Domain and Range	f(x)=sec(x)+1/2	$f (x) = \sec (x) + \frac{1}{2}$
216052	Write in Standard Form	x^2-36y^2-20x+64=0	$x^{2} - 36 y^{2} - 20 x + 64 = 0$
216053	Find All Complex Solutions	2sin(x)^2=1	$2 \sin^{2} (x) = 1$
216054	Simplify	10/(3/(1/6))-(2.8+1.2)	$\frac{10}{\frac{3}{\frac{1}{6}}} - (2.8 + 1.2)$
216055	Simplify	(2 square root of 3)/(4 square root of 3)	$\frac{2 \sqrt{3}}{4 \sqrt{3}}$
216056	Simplify	((x+8)/(x^2+11x+24)*(x-5)/(6x^2+12x))÷((x^2-4x-5)/(x^2+4x+3))	$\frac{x + 8}{x^{2} + 11 x + 24} \cdot \frac{x - 5}{6 x^{2} + 12 x} \div \frac{x^{2} - 4 x - 5}{x^{2} + 4 x + 3}$
216057	Combine Like Terms	12x+x-3x+7+2	$12 x + x - 3 x + 7 + 2$
216058	Evaluate the Function	f(x)=x^3+9x^2+x+4 at x=0	$f (x) = x^{3} + 9 x^{2} + x + 4$ at $x = 0$
216059	Solve for y	10x+5y=5x+20 for y	$10 x + 5 y = 5 x + 20$ for $y$
216060	Find the Third Term	a_n=2(3)^n	$a_{n} = 2 {(3)}^{n}$
216061	Solve for x	square root of x+10-9=-7	$\sqrt{x + 10 - 9} = - 7$
216062	Simplify	(3x^4+5x^3)+(4x^3-9x+8x^4)	$(3 x^{4} + 5 x^{3}) + (4 x^{3} - 9 x + 8 x^{4})$
216063	Simplify	5/(3x^3)-5/2	$\frac{5}{3 x^{3}} - \frac{5}{2}$
216064	Simplify	x^-28*7^-56	$x^{- 28} \cdot 7^{- 56}$
216065	Simplify	( square root of 7^3)/( square root of 7)	$\frac{\sqrt{7^{3}}}{\sqrt{7}}$
216066	Simplify	(6+zi)(4+i)-(6+zi)(4-5i)	$(6 + z i) (4 + i) - (6 + z i) (4 - 5 i)$
216067	Solve the Rational Equation for x	-5/(x(x-1))=(x+5)/x	$- \frac{5}{x (x - 1)} = \frac{x + 5}{x}$
216068	Find the Exact Value	sec(pi/3)+9csc(pi/6)	$\sec (\frac{π}{3}) + 9 \csc (\frac{π}{6})$
216069	Solve for x	2((2x+3)/(x-3))-25(x-3)/(2x+3)=5	$2 (\frac{2 x + 3}{x - 3}) - 25 \frac{x - 3}{2 x + 3} = 5$
216070	Solve for y	(x^y)/(x^3)=x^6	$\frac{x^{y}}{x^{3}} = x^{6}$
216071	Find the Roots (Zeros)	x^4-3x^3+x^2-3x	$x^{4} - 3 x^{3} + x^{2} - 3 x$
216072	Write in Slope-Intercept Form	y+5=0	$y + 5 = 0$
216073	Solve for A	A=(1/4)^(-(1/4)^-1)+(1/5)^(-(1/2)^-1)+(-1)^3456	$A = {(\frac{1}{4})}^{- {(\frac{1}{4})}^{- 1}} + {(\frac{1}{5})}^{- {(\frac{1}{2})}^{- 1}} + {(- 1)}^{3456}$
216074	Simplify	-3 cube root of 2h^2(-4 cube root of 4h^4)	$- 3 \sqrt[3]{2 h^{2}} (- 4 \sqrt[3]{4 h^{4}})$
216075	Evaluate	2x(-2x-3)	$2 x (- 2 x - 3)$
216076	Write in Standard Form	y=(-13x)/9+22/9	$y = \frac{- 13 x}{9} + \frac{22}{9}$
216077	Simplify	((p^2)/(q^3))(p/q)^-2	$(\frac{p^{2}}{q^{3}}) {(\frac{p}{q})}^{- 2}$
216078	Solve the Rational Equation for x	square root of 2x-4 = square root of x	$\sqrt{2 x - 4} = \sqrt{x}$
216079	Evaluate	cube root of 5^5* square root of 5	$\sqrt[3]{5^{5}} \cdot \sqrt{5}$
216080	Simplify	0^(2/3)	$0^{\frac{2}{3}}$
216081	Write the Fraction in Simplest Form	(-5t^5)/((5t^-5)^2)	$\frac{- 5 t^{5}}{{(5 t^{- 5})}^{2}}$
216082	Simplify	(3x)/(4y^2)-y/(6x)	$\frac{3 x}{4 y^{2}} - \frac{y}{6 x}$
216083	Simplify	(5x)/4+3/(x^2)	$\frac{5 x}{4} + \frac{3}{x^{2}}$
216084	Simplify the Radical Expression	(2x)^3	${(2 x)}^{3}$
216085	Write with Rational (Fractional) Exponents	( eighth root of (4a)^3)^8	${(\sqrt[8]{{(4 a)}^{3}})}^{8}$
216086	Evaluate	(-2x^5y^7)^3+7x^15y^21	${(- 2 x^{5} y^{7})}^{3} + 7 x^{15} y^{21}$
216087	Graph	x+2y=6 2x+y=6	$x + 2 y = 6$ $2 x + y = 6$
216088	Solve for x	9+ square root of x^2-5x=12	$9 + \sqrt{x^{2} - 5 x} = 12$
216089	Graph	-2x+y+4<9	$- 2 x + y + 4 < 9$
216090	Write in Standard Form	2x(3x^2+4)-3x^2	$2 x (3 x^{2} + 4) - 3 x^{2}$
216091	Simplify the Radical Expression	i^22	$i^{22}$
216092	Simplify	x^0y	$x^{0} y$
216093	Solve for x	-15/x=x+8	$\frac{- 15}{x} = x + 8$
216094	Find f(h(x))	f(x)=3x+5 g(x)=4x^2-2 h(x)=x^2-3x+1	$f (x) = 3 x + 5$ $g (x) = 4 x^{2} - 2$ $h (x) = x^{2} - 3 x + 1$
216095	Simplify	((x^2-10x+9)/(3x))÷((x^2-7x-18)/(x^2+2x))	$\frac{x^{2} - 10 x + 9}{3 x} \div \frac{x^{2} - 7 x - 18}{x^{2} + 2 x}$
216096	Divide Using Synthetic Division	Use synthetic division to find the result when x^3+3x^2+8x+12 is divided by x+2	Use synthetic division to find the result when $x^{3} + 3 x^{2} + 8 x + 12$ is divided by $x + 2$
216097	Evaluate	(2(3+2)^3)/(-1+11)	$\frac{2 {(3 + 2)}^{3}}{- 1 + 11}$
216098	Solve for h	2.4(5h+10)-3=27	$2.4 (5 h + 10) - 3 = 27$
216099	Simplify	1 3/4+7/3-27/12	$1 \frac{3}{4} + \frac{7}{3} - \frac{27}{12}$
216100	Simplify the Radical Expression	square root of 32x	$\sqrt{32 x}$