Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
8801	Multiply	-4 square root of 28x* square root of 7x^3	$- 4 \sqrt{28 x} \cdot \sqrt{7 x^{3}}$
8802	Solve for x	1/2x+4=2/3x	$\frac{1}{2} x + 4 = \frac{2}{3} x$
8803	Simplify	(3+ square root of 7)(5+3 square root of 28)	$(3 + \sqrt{7}) (5 + 3 \sqrt{28})$
8804	Factor	64x^3-1=0	$64 x^{3} - 1 = 0$
8805	Solve the Inequality for x	-x+6>-(2x+4)	$- x + 6 > - (2 x + 4)$
8806	Find the Concavity	f(x)=-1/5x^5-x^4	$f (x) = - \frac{1}{5} x^{5} - x^{4}$
8807	Convert to Radical Form	(x^2+7)^(-1/3)	${(x^{2} + 7)}^{- \frac{1}{3}}$
8808	Evaluate	2 square root of x-3=12	$2 \sqrt{x - 3} = 12$
8809	Solve for x	2=x^2+x	$2 = x^{2} + x$
8810	Solve the Function Operation	f(x)=-3x+9 if 1<=x<5; -3 if x=5; -(x-7)^2 if x>5 Find f(1)	$f (x) = {\begin{cases} - 3 x + 9 & 1 \leq x < 5 \\ - 3 & x = 5 \\ - {(x - 7)}^{2} & x > 5 \end{cases}$ Find $f (1)$
8811	Solve for x	square root of 5x^2-7=2x	$\sqrt{5 x^{2} - 7} = 2 x$
8812	Add	(x^2-3x+4)+(x^3+3x-4)	$(x^{2} - 3 x + 4) + (x^{3} + 3 x - 4)$
8813	Simplify	((x+1)^(2n)+4(x+1)^(2n+1)+6(x+1)^6-11)/(x(x+2))	$\frac{{(x + 1)}^{2 n} + 4 {(x + 1)}^{2 n + 1} + 6 {(x + 1)}^{6} - 11}{x (x + 2)}$
8814	Divide	((4/3)(2/5))÷(3/2)	$((\frac{4}{3}) (\frac{2}{5})) \div \frac{3}{2}$
8815	Find the Nth Root of the Given Value	n=3 , a=1000	$n = 3$ , $a = 1000$
8816	Simplify the Radical Expression	square root of square root of square root of x	$\sqrt{\sqrt{\sqrt{x}}}$
8817	Graph	y=1/2x-6 y=-x	$y = \frac{1}{2} x - 6$ $y = - x$
8818	Solve for θ in Radians	sin(2theta)=sin(theta)	$\sin (2 θ) = \sin (θ)$
8819	Simplify	sin(2theta)sec(theta)^4	$\sin (2 θ) \sec^{4} (θ)$
8820	Simplify	4a+7c-2-5a+2c	$4 a + 7 c - 2 - 5 a + 2 c$
8821	Evaluate	(45m^-6p^2v^12)/(15m^-2p^8v^-4)	$\frac{45 m^{- 6} p^{2} v^{12}}{15 m^{- 2} p^{8} v^{- 4}}$
8822	Find the Asymptotes	f(x)=2-3/(x^2)	$f (x) = 2 - \frac{3}{x^{2}}$
8823	Factor	k(x)=x^4+5x^3-x^2-17x+12	$k (x) = x^{4} + 5 x^{3} - x^{2} - 17 x + 12$
8824	Find the Cotangent Given the Point	(( square root of 5)/5,-(2 square root of 5)/5)	$(\frac{\sqrt{5}}{5}, - \frac{2 \sqrt{5}}{5})$
8825	Simplify	(x^2+x-12)/((x-2)/((3x^2+11x-4)/(x^2-4)))	$\frac{x^{2} + x - 12}{\frac{x - 2}{\frac{3 x^{2} + 11 x - 4}{x^{2} - 4}}}$
8826	Solve for x	x^2-ax-bx+ab=0	$x^{2} - a x - b x + a b = 0$
8827	Simplify	(4^2m^6t^8)/(4^6m^9t^-6)	$\frac{4^{2} m^{6} t^{8}}{4^{6} m^{9} t^{- 6}}$
8828	Solve the Inequality for n	-5\|4+n\|<-15	$- 5 \| 4 + n \| < - 15$
8829	Solve the Inequality for t	-11>t+7	$- 11 > t + 7$
8830	Simplify	(3x^3+2x^2-5x)-(8x^3-2x^2)	$(3 x^{3} + 2 x^{2} - 5 x) - (8 x^{3} - 2 x^{2})$
8831	Simplify	3^24^0+1^(1/2)5^0	$3^{2} \cdot 4^{0} + 1^{\frac{1}{2}} \cdot 5^{0}$
8832	Solve the Function Operation	f(x)=4x^(1/3) ; find f^-1(x)	$f (x) = 4 x^{\frac{1}{3}}$ ; find $f^{- 1} (x)$
8833	Solve for x	198=3x^2	$198 = 3 x^{2}$
8834	Graph	y=-2cos(2)(x-pi)+1	$y = - 2 \cos (2) (x - π) + 1$
8835	Solve the Inequality for x	square root of 4x^2-12x+9>=9	$\sqrt{4 x^{2} - 12 x + 9} \geq 9$
8836	Multiply	square root of 13* fifth root of 13	$\sqrt{13} \cdot \sqrt[5]{13}$
8837	Find the Distance Between Two Points	(-4,3) and (7,6)	$(- 4, 3)$ and $(7, 6)$
8838	Simplify	Find the sum of -3x^2-4x+3 and 2x^2-x+3	Find the sum of $- 3 x^{2} - 4 x + 3$ and $2 x^{2} - x + 3$
8839	Evaluate	sin(x)^4-cos(x)^4	$\sin^{4} (x) - \cos^{4} (x)$
8840	Simplify	square root of 12( square root of 3+ square root of 5- square root of 6)	$\sqrt{12} (\sqrt{3} + \sqrt{5} - \sqrt{6})$
8841	Find the Slope	(4,7) and (1,3)	$(4, 7)$ and $(1, 3)$
8842	Simplify	2m^4n^2(nm^3)^2	$2 m^{4} n^{2} \cdot {(n m^{3})}^{2}$
8843	Solve for x	x^3-6x^2+x-6=x^2+1	$x^{3} - 6 x^{2} + x - 6 = x^{2} + 1$
8844	Write in Standard Form	3x^2-2x+x^3+6	$3 x^{2} - 2 x + x^{3} + 6$
8845	Simplify	(10a^2-6ab+b^2)-(5a^2-2b^2)	$(10 a^{2} - 6 a b + b^{2}) - (5 a^{2} - 2 b^{2})$
8846	Simplify	3(cos(pi)+isin(pi))	$3 (\cos (π) + i \sin (π))$
8847	Solve the Function Operation	f(x)=(x+6)^2+3 if x<-5; 0 if x=-5; -2x-8 if x>-5 Find f(-7)	$f (x) = {\begin{cases} {(x + 6)}^{2} + 3 & x < - 5 \\ 0 & x = - 5 \\ - 2 x - 8 & x > - 5 \end{cases}$ Find $f (- 7)$
8848	Evaluate the Integral	integral of (sin(2x))/(cos(2x)^2) with respect to x	$\int \frac{\sin (2 x)}{\cos^{2} (2 x)} d x$
8849	Simplify	i^8i^31i^28	$i^{8} \cdot i^{31} \cdot i^{28}$
8850	Simplify	(23)/(25)	$\frac{2 \cdot 3}{2 \cdot 5}$
8851	Solve for x	5/6=-4/(x+2)	$\frac{5}{6} = \frac{- 4}{x + 2}$
8852	Evaluate	square root of x=-9	$\sqrt{x} = - 9$
8853	Simplify the Radical Expression	fourth root of (5x)/(16b^4)	$\sqrt[4]{\frac{5 x}{16 b^{4}}}$
8854	Evaluate	cube root of (27(2)^4)/((3)^6)	$\sqrt[3]{\frac{27 {(2)}^{4}}{{(3)}^{6}}}$
8855	Find the Roots (Zeros)	f(x)=x^4+x^2-12	$f (x) = x^{4} + x^{2} - 12$
8856	Determine if a Polynomial	-3x-4x^2-5x^5+6x^3	$- 3 x - 4 x^{2} - 5 x^{5} + 6 x^{3}$
8857	Simplify	i^13i^11i^29*i^15	$i^{13} \cdot i^{11} \cdot i^{29} \cdot i^{15}$
8858	Simplify	(2- square root of 3)	$(2 - \sqrt{3})$
8859	Solve for z	7/8(y-z)=x	$\frac{7}{8} (y - z) = x$
8860	Evaluate the Limit	limit as x approaches 2 of (2x^3-5x^2+5x-6)/(x-2)	$lim_{x \to 2} \frac{2 x^{3} - 5 x^{2} + 5 x - 6}{x - 2}$
8861	Simplify	((3^6)/(5^3))^(2/3)	${(\frac{3^{6}}{5^{3}})}^{\frac{2}{3}}$
8862	Find the Antiderivative	square root of x^2-1	$\sqrt{x^{2} - 1}$
8863	Evaluate	10sin(pi/8)*cos((7pi)/8)	$10 \sin (\frac{π}{8}) \cdot \cos (\frac{7 π}{8})$
8864	Solve for a	(6y-11)(6y+11)=ay^2-b	$(6 y - 11) (6 y + 11) = a y^{2} - b$
8865	Rationalize the Denominator	( cube root of x)/( cube root of 2)	$\frac{\sqrt[3]{x}}{\sqrt[3]{2}}$
8866	Factor	x^2-20=x	$x^{2} - 20 = x$
8867	Solve for x	3=(5^(1/2))(x^(1/2))	$3 = (5^{\frac{1}{2}}) (x^{\frac{1}{2}})$
8868	Solve the Inequality for p	2(6p-5)>=3(p-8)-1	$2 (6 p - 5) \geq 3 (p - 8) - 1$
8869	Describe the Transformation	y = square root of 1/2x	$y = \sqrt{\frac{1}{2} x}$
8870	Solve the System of Equations	y=x^2-6 8x+y=-18	$y = x^{2} - 6$ $8 x + y = - 18$
8871	Graph	y>=-x-1y	$y \geq - x - 1 y$
8872	Graph	3a^4b^(-)*2c^3	$3 a^{4} b^{-} \cdot 2 c^{3}$
8873	Solve for x	6* cube root of x=0	$6 \cdot \sqrt[3]{x} = 0$
8874	Evaluate from the Right	limit as x approaches 1 of x^2-2x+4	$lim_{x \to 1} x^{2} - 2 x + 4$
8875	Solve for m	square root of m=11	$\sqrt{m} = 11$
8876	Solve for h	2>8-4/3h	$2 > 8 - \frac{4}{3} h$
8877	Multiply	4x^2 square root of 15xy*2xy square root of 98xy	$4 x^{2} \sqrt{15 x y} \cdot 2 x y \sqrt{98 x y}$
8878	Simplify	(10h^5k^3)/(24h^-2)	$\frac{10 h^{5} k^{3}}{24 h^{- 2}}$
8879	Evaluate the Function	f(-1)=3(2)^x	$f (- 1) = 3 {(2)}^{x}$
8880	Find All Complex Solutions	25^x-12*5^x+27=0	$25^{x} - 12 \cdot 5^{x} + 27 = 0$
8881	Evaluate	25^x-12*5^x+27=0	$25^{x} - 12 \cdot 5^{x} + 27 = 0$
8882	Simplify	(10/(5r-4))÷((r+5)/(5r^2-49r+36))	$\frac{10}{5 r - 4} \div \frac{r + 5}{5 r^{2} - 49 r + 36}$
8883	Find the Domain	(x-2)/(x^2+2x+4)-(6x)/(x^3-8)+1/(x-2)	$\frac{x - 2}{x^{2} + 2 x + 4} - \frac{6 x}{x^{3} - 8} + \frac{1}{x - 2}$
8884	Evaluate	(3x^3y^-1z^-1)/(x^-4y^0z^0)	$\frac{3 x^{3} y^{- 1} z^{- 1}}{x^{- 4} y^{0} z^{0}}$
8885	Write as a Single Logarithm	log base b of 6- log base b of 2	$\log_{b} (6) - \log_{b} (2)$
8886	Write in Standard Form	(x^2-8x-6)-(x^2-2x)	$(x^{2} - 8 x - 6) - (x^{2} - 2 x)$
8887	Simplify	(2x)^2(-4+4i)	${(2 x)}^{2} (- 4 + 4 i)$
8888	Simplify	(5x^6z^3)/(10y^4z^4)	$\frac{5 x^{6} z^{3}}{10 y^{4} z^{4}}$
8889	Find the Excluded Values	45/(10a-10)	$\frac{45}{10 a - 10}$
8890	Simplify	((5x)/(3yz))^-3	${(\frac{5 x}{3 y z})}^{- 3}$
8891	Solve for x	(1/81)^(-18x-15)=(1/9)^(3x^2-3x)	${(\frac{1}{81})}^{- 18 x - 15} = {(\frac{1}{9})}^{3 x^{2} - 3 x}$
8892	Simplify	((-2x^2y^5)^3*5x^4)/(10x^7y^13)	$\frac{{(- 2 x^{2} y^{5})}^{3} \cdot 5 x^{4}}{10 x^{7} y^{13}}$
8893	Determine if a Polynomial	-(m^3)/5	$- \frac{m^{3}}{5}$
8894	Simplify	(4- square root of 2x)^2	${(4 - \sqrt{2 x})}^{2}$
8895	Simplify	3/4(4h-6)	$\frac{3}{4} (4 h - 6)$
8896	Find the Inflection Points	f(x)=1/12x^4+3x^3+40x^2	$f (x) = \frac{1}{12} x^{4} + 3 x^{3} + 40 x^{2}$
8897	Solve the System of Equations	y=7/6x+2 y=-5	$y = \frac{7}{6} x + 2$ $y = - 5$
8898	Evaluate	cot((13pi)/4)	$\cot (\frac{13 π}{4})$
8899	Simplify	( square root of 3x^12y^10)/(5x^6y^3)	$\frac{\sqrt{3 x^{12} y^{10}}}{5 x^{6} y^{3}}$
8900	Divide Using Long Polynomial Division	(2h^4-h^3+h^2+h-3)/(h^2-1)	$\frac{2 h^{4} - h^{3} + h^{2} + h - 3}{h^{2} - 1}$