Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
5001	Solve the Function Operation	f(x)=-x+3 g(x)=2x^2-3x-7 Find: f(g(x))	$f (x) = - x + 3$ $g (x) = 2 x^{2} - 3 x - 7$ Find: $f (g (x))$
5002	Factor by Grouping	(x-y)^2-a(y-x)	${(x - y)}^{2} - a (y - x)$
5003	Simplify the Radical Expression	4 square root of 2-10 square root of 2+11 square root of 2-20 square root of 2	$4 \sqrt{2} - 10 \sqrt{2} + 11 \sqrt{2} - 20 \sqrt{2}$
5004	Simplify the Radical Expression	fourth root of 16w^10+2w fourth root of w^6	$\sqrt[4]{16 w^{10}} + 2 w \sqrt[4]{w^{6}}$
5005	Solve for x	(2x+5)/6=7/(x-6)	$\frac{2 x + 5}{6} = \frac{7}{x - 6}$
5006	Solve for x	(3^(x/2+1))=(3^(-(5x)/2))	$(3^{\frac{x}{2} + 1}) = (3^{- \frac{5 x}{2}})$
5007	Simplify	7 square root of 10- square root of 6+2 square root of 10	$7 \sqrt{10} - \sqrt{6} + 2 \sqrt{10}$
5008	Find the Exact Value	6-(-5)+2+(-4)	$6 - (- 5) + 2 + (- 4)$
5009	Find the Reference Angle	tan(pi/6)	$\tan (\frac{π}{6})$
5010	Simplify	fourth root of 2* sixth root of 2^5	$\sqrt[4]{2} \cdot \sqrt[6]{2^{5}}$
5011	Simplify the Radical Expression	cube root of -3x^2* cube root of 24x^5	$\sqrt[3]{- 3 x^{2}} \cdot \sqrt[3]{24 x^{5}}$
5012	Simplify	(7b-14b^2)/(42b^2-21b)	$\frac{7 b - 14 b^{2}}{42 b^{2} - 21 b}$
5013	Convert to a Decimal	297 words in 5.5min	$297$ words in $5.5 minutes$
5014	Evaluate the Function	f(x)=-2x^4+x^3+5x^2-3x-7 , x=-1	$f (x) = - 2 x^{4} + x^{3} + 5 x^{2} - 3 x - 7$ , $x = - 1$
5015	Simplify	9x^3-7x^2+4x^2-x+4x^3	$9 x^{3} - 7 x^{2} + 4 x^{2} - x + 4 x^{3}$
5016	Find the Derivative - d/dX	XD	$X D$
5017	Find Where Increasing/Decreasing	h(x)=6x^5-15x^4+10x^3	$h (x) = 6 x^{5} - 15 x^{4} + 10 x^{3}$
5018	Solve for a	3/4=a+5/8	$\frac{3}{4} = a + \frac{5}{8}$
5019	Solve for a	(x+a)^2=x^2+16x+64	${(x + a)}^{2} = x^{2} + 16 x + 64$
5020	Solve the Inequality for b	3b+2<5b-6<=2b+9	$3 b + 2 < 5 b - 6 \leq 2 b + 9$
5021	Simplify	( cube root of 4)÷( sixth root of 2)	$\sqrt[3]{4} \div \sqrt[6]{2}$
5022	Graph	y<=x+10 y>6x+2	$y \leq x + 10$ $y > 6 x + 2$
5023	Simplify the Radical Expression	(x^(7/8))(x^(1/4))	$(x^{\frac{7}{8}}) (x^{\frac{1}{4}})$
5024	Solve for x	9^(-3x-84)=3^(-3x^2-9x)	$9^{- 3 x - 84} = 3^{- 3 x^{2} - 9 x}$
5025	Solve for z	z=2(cos(30 degrees )+isin(30 degrees ))	$z = 2 (\cos (30 °) + i \sin (30 °))$
5026	Solve the System of Equations	3x-2y+z=5 2x+y+z=1 x+4y-2z=-3	$3 x - 2 y + z = 5$ $2 x + y + z = 1$ $x + 4 y - 2 z = - 3$
5027	Graph	0<=y<=5 y<=-x+5 y<=x+5 f(x,y)=8x-3y	$0 \leq y \leq 5$ $y \leq - x + 5$ $y \leq x + 5$ $f (x, y) = 8 x - 3 y$
5028	Evaluate	natural log of 2+ natural log of x=5	$\ln (2) + \ln (x) = 5$
5029	Simplify	((7^3)/(4^3))^(-1/3)	${(\frac{7^{3}}{4^{3}})}^{- \frac{1}{3}}$
5030	Simplify	(108a^3-4)/(36a^2-24a+4)	$\frac{108 a^{3} - 4}{36 a^{2} - 24 a + 4}$
5031	Divide Using Synthetic Division	(6x^5-3x^2+x-2)÷(x-1)	$(6 x^{5} - 3 x^{2} + x - 2) \div (x - 1)$
5032	Evaluate	log base 5 of 1/25- log base 2 of 1/16+ log base 9 of 1/81	$\log_{5} (\frac{1}{25}) - \log_{2} (\frac{1}{16}) + \log_{9} (\frac{1}{81})$
5033	Find dy/dx	y=1+2xe^y	$y = 1 + 2 x e^{y}$
5034	Graph	y>=-4 square root of x+3	$y \geq - 4 \sqrt{x + 3}$
5035	Solve the System of Equations	y=-x y=2/5x-7	$y = - x$ $y = \frac{2}{5} x - 7$
5036	Write Using Positive Exponents	6c^3d^-2	$6 \cdot c^{3} \cdot d^{- 2}$
5037	Simplify	((x-3)/15)÷((6x-18)/(5x))	$\frac{x - 3}{15} \div \frac{6 x - 18}{5 x}$
5038	Simplify	sixth root of 81/4	$\sqrt[6]{\frac{81}{4}}$
5039	Simplify	((p^1q^-1)/(r^-2))^-4	${(\frac{p^{1} q^{- 1}}{r^{- 2}})}^{- 4}$
5040	Evaluate	7*((7+7)÷7)	$7 \cdot ((7 + 7) \div 7)$
5041	Evaluate	(-4x)^-1	${(- 4 x)}^{- 1}$
5042	Simplify	square root of (4m^4)/(5m^2n^4)	$\sqrt{\frac{4 m^{4}}{5 m^{2} n^{4}}}$
5043	Simplify	(-10m^2n)/(2m^3n^-5)	$\frac{- 10 m^{2} n}{2 m^{3} n^{- 5}}$
5044	Find the Asymptotes	y=1/2*2^x-4	$y = \frac{1}{2} \cdot 2^{x} - 4$
5045	Solve for x	natural log of x- natural log of x+2 = natural log of 8x	$\ln (x) - \ln (x + 2) = \ln (8 x)$
5046	Graph	f(-1)+f(4)=-11	$f (- 1) + f (4) = - 11$
5047	Simplify the Radical Expression	( square root of 60)/( square root of 10)	$\frac{\sqrt{60}}{\sqrt{10}}$
5048	Simplify	(3^0)(5^2)(7^1)(1000^0)	$(3^{0}) (5^{2}) (7^{1}) (1000^{0})$
5049	Find the Product	(1+4x+3x^2)(2-7x-9x^2)	$(1 + 4 x + 3 x^{2}) (2 - 7 x - 9 x^{2})$
5050	Write in Slope-Intercept Form	x+5y>=0	$x + 5 y \geq 0$
5051	Add	2 square root of 3+-5 square root of 2+10 square root of 3+14 square root of 2+-3 square root of 2	$2 \sqrt{3} + - 5 \sqrt{2} + 10 \sqrt{3} + 14 \sqrt{2} + - 3 \sqrt{2}$
5052	Simplify	(c^-2d^-1)/(c^7d^-2)	$\frac{c^{- 2} d^{- 1}}{c^{7} d^{- 2}}$
5053	Convert to Radical Form	(2x-7)^(1/2)	${(2 x - 7)}^{\frac{1}{2}}$
5054	Simplify	(3/5x+3/4)-(1/3x-1/8)	$(\frac{3}{5} x + \frac{3}{4}) - (\frac{1}{3} x - \frac{1}{8})$
5055	Divide Using Long Polynomial Division	x^3+10x^2+19x-30 , x+6	$x^{3} + 10 x^{2} + 19 x - 30$ , $x + 6$
5056	Simplify the Radical Expression	-8 square root of 128+ square root of 50	$- 8 \sqrt{128} + \sqrt{50}$
5057	Simplify the Radical Expression	fourth root of 81(x^4-16)^4	$\sqrt[4]{81 {(x^{4} - 16)}^{4}}$
5058	Simplify	(12x)/(4x^2-18x)	$\frac{12 x}{4 x^{2} - 18 x}$
5059	Simplify	((x^(-1/2)y^4)^(1/4))/(x^(2/3)y^(3/2)*x^(-3/2)y^(1/2))	$\frac{{(x^{- \frac{1}{2}} y^{4})}^{\frac{1}{4}}}{x^{\frac{2}{3}} y^{\frac{3}{2}} \cdot x^{- \frac{3}{2}} y^{\frac{1}{2}}}$
5060	Simplify	(12y)/15*20/(18y)	$\frac{12 y}{15} \cdot \frac{20}{18 y}$
5061	Evaluate	(3^-24^2)/(3^04^3)	$\frac{3^{- 2} \cdot 4^{2}}{3^{0} \cdot 4^{3}}$
5062	Evaluate	3(2d-1)-2d=4(d-2)+5	$3 (2 d - 1) - 2 d = 4 (d - 2) + 5$
5063	Evaluate the Function	x=5 , 6 , 7	$x = 5$ , $6$ , $7$
5064	Simplify	-3/8x^3+7+(-5/8x^3)+1	$- \frac{3}{8} x^{3} + 7 + (- \frac{5}{8} x^{3}) + 1$
5065	Solve for a	square root of 12-a+7a=8a	$\sqrt{12 - a} + 7 a = 8 a$
5066	Solve the Inequality for u	9x-7i>9x-21u	$9 x - 7 i > 9 x - 21 u$
5067	Add	(4x^2-2x+7)+(3x-7x^2-9)	$(4 x^{2} - 2 x + 7) + (3 x - 7 x^{2} - 9)$
5068	Simplify	cube root of 3* fifth root of 3^6	$\sqrt[3]{3} \cdot \sqrt[5]{3^{6}}$
5069	Simplify	x^(1/4)x^(1/6)x^(1/3)	$x^{\frac{1}{4}} \cdot x^{\frac{1}{6}} \cdot x^{\frac{1}{3}}$
5070	Solve for B	1/((x+1)(x+2))=A/(x+1)+B/(x+2)	$\frac{1}{(x + 1) (x + 2)} = \frac{A}{x + 1} + \frac{B}{x + 2}$
5071	Multiply	(a^2+a-4)*(2a^2-a-1)	$(a^{2} + a - 4) \cdot (2 a^{2} - a - 1)$
5072	Simplify	(12-y)/(6y-36)-6/(y^2-6y)	$\frac{12 - y}{6 y - 36} - \frac{6}{y^{2} - 6 y}$
5073	Graph	8^(2x)>32	$8^{2 x} > 32$
5074	Evaluate	((1+3)^2)/((4)(-2))	$\frac{{(1 + 3)}^{2}}{(4) (- 2)}$
5075	Simplify	cube root of -(y-9)^9	$\sqrt[3]{- {(y - 9)}^{9}}$
5076	Simplify the Radical Expression	( square root of 3x^12y^10)/( square root of 5x^6y^3)	$\frac{\sqrt{3 x^{12} y^{10}}}{\sqrt{5 x^{6} y^{3}}}$
5077	Solve the Rational Equation for x	square root of 5x-10+9=4	$\sqrt{5 x - 10} + 9 = 4$
5078	Simplify	(1/3x-3y)^2	${(\frac{1}{3} x - 3 y)}^{2}$
5079	Find the Tangent Line at (-1,0)	x^2y^2-2xy+x^2=1 , (-1,0)	$x^{2} y^{2} - 2 x y + x^{2} = 1$ , $(- 1, 0)$
5080	Multiply	(6n^2-7)(n^2+n+3)	$(6 n^{2} - 7) (n^{2} + n + 3)$
5081	Evaluate	8(e)^(2x+1)=4	$8 {(e)}^{2 x + 1} = 4$
5082	Solve the Inequality for x	(x^2+6x-16)/(x^2+7x+6)<0	$\frac{x^{2} + 6 x - 16}{x^{2} + 7 x + 6} < 0$
5083	Find the Antiderivative	f(x)=1/(x^2)-2/(x^4)	$f (x) = \frac{1}{x^{2}} - \frac{2}{x^{4}}$
5084	Evaluate	3/4x+5=-9	$\frac{3}{4} x + 5 = - 9$
5085	Convert to a Decimal	180mi in 3hr	$180 miles$ in $3 hours$
5086	Solve for x	4-2x=8+x/2	$4 - 2 x = 8 + \frac{x}{2}$
5087	Simplify	4x^2y cube root of 500x^9y^14	$4 x^{2} y \sqrt[3]{500 x^{9} y^{14}}$
5088	Simplify	-1/4 square root of 48x^3	$- \frac{1}{4} \sqrt{48 x^{3}}$
5089	Find the Focus	x^2=-6x	$x^{2} = - 6 x$
5090	Simplify	x^4+4x^by+ax^2y^2+4xy^3+y^4	$x^{4} + 4 x^{b} y + a x^{2} y^{2} + 4 x y^{3} + y^{4}$
5091	Write as a Single Logarithm	3 log of x+ log of 2x+1	$3 \log (x) + \log (2 x + 1)$
5092	Graph	-9 square root of 2x+1>-18	$- 9 \sqrt{2 x + 1} > - 18$
5093	Find the Domain and Range	f(x)=(x-4)^(1/2)	$f (x) = {(x - 4)}^{\frac{1}{2}}$
5094	Solve the Inequality for x	y<x+3	$y < x + 3$
5095	Evaluate	60.2227.0	$6 \times 0.222 \times 7$
5096	Simplify	-36/(2+ square root of 13)	$\frac{- 36}{2 + \sqrt{13}}$
5097	Write the Fraction in Simplest Form	((3s^5)^3)/(12s^5)	$\frac{{(3 s^{5})}^{3}}{12 s^{5}}$
5098	Evaluate	(1+0.06/4)^(4/12)-1	${(1 + \frac{0.06}{4})}^{\frac{4}{12}} - 1$
5099	Solve for x	3/4(-4.2-x)=5	$\frac{3}{4} (- 4.2 - x) = 5$
5100	Graph	y=3/2x y=3x-3	$y = \frac{3}{2} x$ $y = 3 x - 3$