Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
14801	Evaluate the Integral	integral from 0 to 1/4 of (8x)/( square root of 1-4x^2) with respect to x	$\int_{0}^{\frac{1}{4}} \frac{8 x}{\sqrt{1 - 4 x^{2}}} d x$
14802	Multiply	x(-9x^2-5x+9)	$x (- 9 x^{2} - 5 x + 9)$
14803	Solve the System of Equations	x^2+y^2=16 x^2-4x+y^2=12	$x^{2} + y^{2} = 16$ $x^{2} - 4 x + y^{2} = 12$
14804	Multiply	(x^2+5x+4)/(x^2-13x+40)*(x-8)/(x^2-1)	$\frac{x^{2} + 5 x + 4}{x^{2} - 13 x + 40} \cdot \frac{x - 8}{x^{2} - 1}$
14805	Solve for n	1n+1.50=0.50n+4.50	$1 n + 1.5 = 0.5 n + 4.5$
14806	Solve for u	u/12=6/8	$\frac{u}{12} = \frac{6}{8}$
14807	Graph	f(x)=1/3 square root of x+2	$f (x) = \frac{1}{3} \sqrt{x + 2}$
14808	Solve the Inequality for x	5^(2x)<125^(x-5)	$5^{2 x} < 125^{x - 5}$
14809	Evaluate	2sin(15 degrees )cos(15 degrees )	$2 \sin (15 °) \cos (15 °)$
14810	Solve the Rational Equation for x	(3x-1)^(1/5)=2	${(3 x - 1)}^{\frac{1}{5}} = 2$
14811	Evaluate the Integral	integral of ((3x^3-4x-2)/(x^3)) with respect to x	$\int (\frac{3 x^{3} - 4 x - 2}{x^{3}}) d x$
14812	Solve for x	cube root of 2x-3 = cube root of 2-x	$\sqrt[3]{2 x - 3} = \sqrt[3]{2 - x}$
14813	Evaluate	(10 square root of 3)/3*2	$\frac{10 \sqrt{3}}{3} \cdot 2$
14814	Solve for y	(y-2)^2-10(y-2)+9=0	${(y - 2)}^{2} - 10 (y - 2) + 9 = 0$
14815	Find All Complex Solutions	x^4=-2+2 square root of 3i	$x^{4} = - 2 + 2 \sqrt{3} i$
14816	Simplify	x/( square root of 12)	$\frac{x}{\sqrt{12}}$
14817	Solve for x	3x=-x^2	$3 x = - x^{2}$
14818	Solve Using the Quadratic Formula	16(7-3x)^2+13=17	$16 {(7 - 3 x)}^{2} + 13 = 17$
14819	Simplify	c^3+c^2+2c-3c^3-c^2-4c	$c^{3} + c^{2} + 2 c - 3 c^{3} - c^{2} - 4 c$
14820	Multiply	square root of -5* square root of 5	$\sqrt{- 5} \cdot \sqrt{5}$
14821	Solve for m	1/10m+1/2=-1/2m-1/2	$\frac{1}{10} m + \frac{1}{2} = - \frac{1}{2} m - \frac{1}{2}$
14822	Solve the Inequality for y	5>-2/-5y-3	$5 > \frac{- 2}{- 5} y - 3$
14823	Solve for t	S=P+Prt for t	$S = P + P r t$ for $t$
14824	Simplify	fourth root of 16x^10* square root of 81x	$\sqrt[4]{16 x^{10}} \cdot \sqrt{81 x}$
14825	Solve for x	x+2x^2-4=-7x+6	$x + 2 x^{2} - 4 = - 7 x + 6$
14826	Solve for θ	sec(theta)=undefined	$\sec (θ) = u n d e f i n e d$
14827	Find Where Increasing/Decreasing	(x+3)/(x^2)	$\frac{(x + 3)}{x^{2}}$
14828	Solve the Function Operation	x=-1 , 3 , 4	$x = - 1$ , $3$ , $4$
14829	Add	(11x^2+5y^2-8xy)+(x^2-7y^2+4x)	$(11 x^{2} + 5 y^{2} - 8 x y) + (x^{2} - 7 y^{2} + 4 x)$
14830	Simplify	((3x^4)/(y^-2))^5	${(\frac{3 x^{4}}{y^{- 2}})}^{5}$
14831	Solve for x	log base 11 of x^2+5x-108 = log base 11 of 28x	$\log_{11} (x^{2} + 5 x - 108) = \log_{11} (28 x)$
14832	Find the Antiderivative	f(x)=4+2x^6+x^2	$f (x) = 4 + 2 x^{6} + x^{2}$
14833	Find All Complex Solutions	3^(x+1)+3^x=12	$3^{x + 1} + 3^{x} = 12$
14834	Simplify	(2^(2x)-2^x)/(2^x-1)	$\frac{2^{2 x} - 2^{x}}{2^{x} - 1}$
14835	Graph	Graph x=-5	Graph $x = - 5$
14836	Find the Reference Angle	cos(-pi/6)	$\cos (- \frac{π}{6})$
14837	Simplify	P(x)=x^2(b^2x+a^2)+ab(x^5+1)	$P (x) = x^{2} (b^{2} x + a^{2}) + a b (x^{5} + 1)$
14838	Find the Standard Deviation	{1,3,4,4,3,2,2,5,2,8,1,2,2,1,4,2}	${1, 3, 4, 4, 3, 2, 2, 5, 2, 8, 1, 2, 2, 1, 4, 2}$
14839	Find the Asymptotes	g(x)=(3x^2)/(x^2+2x+1)	$g (x) = \frac{3 x^{2}}{x^{2} + 2 x + 1}$
14840	Find the Derivative - d/dx	x^2cos(x^2)	$x^{2} \cos (x^{2})$
14841	Simplify	(m^(1/5)n^(1/7))/(m^(1/4)n^(2/7))	$\frac{m^{\frac{1}{5}} n^{\frac{1}{7}}}{m^{\frac{1}{4}} n^{\frac{2}{7}}}$
14842	Evaluate	(1-2+3)4^5+67-8	$(1 - 2 + 3) \cdot 4^{5} + 6 \cdot 7 - 8$
14843	Evaluate	f(3x)=x/(x^2+1)	$f (3 x) = \frac{x}{x^{2} + 1}$
14844	Simplify	x/4+(3x)/2	$\frac{x}{4} + \frac{3 x}{2}$
14845	Find the Product	x^3(x^2+5x+1)	$x^{3} (x^{2} + 5 x + 1)$
14846	Solve for x	log base y of x+2- log base y of x-1 = log base y of 4	$\log_{y} (x + 2) - \log_{y} (x - 1) = \log_{y} (4)$
14847	Simplify	2/(3x)*(3x)/2	$\frac{2}{3 x} \cdot \frac{3 x}{2}$
14848	Solve the System of Equations	2p-q+4r=11 p+2q-6r=-11 3p-2q-10r=11	$2 p - q + 4 r = 11$ $p + 2 q - 6 r = - 11$ $3 p - 2 q - 10 r = 11$
14849	Simplify	(7x-12x^4y^4)+(-11x^3y^2+6x-x^4y^4)-(7x^4y^4-12x^3y^2)	$(7 x - 12 x^{4} y^{4}) + (- 11 x^{3} y^{2} + 6 x - x^{4} y^{4}) - (7 x^{4} y^{4} - 12 x^{3} y^{2})$
14850	Simplify	square root of 24x* square root of 18y* square root of 15y	$\sqrt{24 x} \cdot \sqrt{18 y} \cdot \sqrt{15 y}$
14851	Simplify	(4jk^2-2j^3k^4)/(2jk)	$\frac{4 j k^{2} - 2 j^{3} k^{4}}{2 j k}$
14852	Solve for x	(x+4)/3-2/x=1	$\frac{x + 4}{3} - \frac{2}{x} = 1$
14853	Find the Inverse	(x+4)^(1/4)	${(x + 4)}^{\frac{1}{4}}$
14854	Evaluate the Integral	integral of x^2(3+x)^2 with respect to x	$\int x^{2} {(3 + x)}^{2} d x$
14855	Divide Using Synthetic Division	(2x^3-54)÷(x+3)	$(2 x^{3} - 54) \div (x + 3)$
14856	Find the Roots (Zeros)	8(x-2)^3=0	$8 {(x - 2)}^{3} = 0$
14857	Solve for x	-28=-7(3x+4)+21x	$- 28 = - 7 (3 x + 4) + 21 x$
14858	Evaluate	2(3)^2-(7)^1+3(3)^0	$2 {(3)}^{2} - {(7)}^{1} + 3 {(3)}^{0}$
14859	Solve for s	square root of s+31=9/( square root of s+31)	$\sqrt{s + 31} = \frac{9}{\sqrt{s + 31}}$
14860	Evaluate from the Left	limit as x approaches 2 of 1+3x	$lim_{x \to 2} 1 + 3 x$
14861	Simplify	1/x+1/(xy)	$\frac{1}{x} + \frac{1}{x y}$
14862	Simplify	i^13i^14i^22	$i^{13} \cdot i^{14} \cdot i^{22}$
14863	Find the Degree, Leading Term, and Leading Coefficient	f(x)=9x-10	$f (x) = 9 x - 10$
14864	Graph	-3(7n+3)<6n	$- 3 (7 n + 3) < 6 n$
14865	Simplify	(5x^2+15x)/(x^2+6x+9)	$\frac{5 x^{2} + 15 x}{x^{2} + 6 x + 9}$
14866	Simplify	(2x)/( cube root of 2x)	$\frac{2 x}{\sqrt[3]{2 x}}$
14867	Simplify the Radical Expression	( cube root of 270x^20)/( cube root of 5x)	$\frac{\sqrt[3]{270 x^{20}}}{\sqrt[3]{5 x}}$
14868	Find dy/dx	2x^2+x^3-x-4y^3-3y^2=0	$2 x^{2} + x^{3} - x - 4 y^{3} - 3 y^{2} = 0$
14869	Simplify the Matrix	(2x+10)/(x^2+x-2)+2/(x+2)+x/(x-1) , x!=-2 , 1	$\frac{2 x + 10}{x^{2} + x - 2} + \frac{2}{x + 2} + \frac{x}{x - 1}$ , $x \neq - 2$ , $1$
14870	Simplify	2x^-5*xy^3	$2 x^{- 5} \cdot x y^{3}$
14871	Solve for x	5(4+2x)-(8x-12)=68	$5 (4 + 2 x) - (8 x - 12) = 68$
14872	Simplify	(6^-2)(3^-3)(3*6)^4	$(6^{- 2}) (3^{- 3}) {(3 \cdot 6)}^{4}$
14873	Solve for x	(x+5)/(x+2)-(3x)/(2-x)=(3x)/(x-2)	$\frac{x + 5}{x + 2} - \frac{3 x}{2 - x} = \frac{3 x}{x - 2}$
14874	Evaluate	(3x^2+4x-1)+(-2x^2-3x+2)	$(3 x^{2} + 4 x - 1) + (- 2 x^{2} - 3 x + 2)$
14875	Solve for x	Solve 8=2^(x+4)	Solve $8 = 2^{x + 4}$
14876	Simplify the Radical Expression	square root of (2x)/(5y)	$\sqrt{\frac{2 x}{5 y}}$
14877	Evaluate the Function	y=1/4(4)^x for x=5	$y = \frac{1}{4} {(4)}^{x}$ for $x = 5$
14878	Find the Domain and Range	cube root of 9-x^2	$\sqrt[3]{9 - x^{2}}$
14879	Simplify the Radical Expression	( square root of a square root of b)/( seventh root of ab)	$\frac{\sqrt{a \sqrt{b}}}{\sqrt[7]{a b}}$
14880	Convert to a Decimal	155deg	$155$ degrees
14881	Solve Using an Inverse Matrix	x+y+z+t=4 , 2x-y-z-t=-1 , x+y-2z=0 , 3x+3t=6	$x + y + z + t = 4$ , $2 x - y - z - t = - 1$ , $x + y - 2 z = 0$ , $3 x + 3 t = 6$
14882	Simplify	(3x-1)+(x^2+5x-4)	$(3 x - 1) + (x^{2} + 5 x - 4)$
14883	Graph	-1+9y>-73 and (y-4)/-3>2	$- 1 + 9 y > - 73$ and $\frac{y - 4}{- 3} > 2$
14884	Subtract	9/(4m)-4/(9n)	$\frac{9}{4 m} - \frac{4}{9 n}$
14885	Multiply	(7x^2-6x-6)*(2x-4)	$(7 x^{2} - 6 x - 6) \cdot (2 x - 4)$
14886	Graph	x^2-3x<=0	$x^{2} - 3 x \leq 0$
14887	Rationalize the Denominator	1/( cube root of 9- cube root of 3)	$\frac{1}{\sqrt[3]{9} - \sqrt[3]{3}}$
14888	Evaluate	(5a^(3n))^3	${(5 a^{3 n})}^{3}$
14889	Simplify	1/3(4(x+9)+5x)	$\frac{1}{3} (4 (x + 9) + 5 x)$
14890	Divide	( fourth root of 32)/( fourth root of 2)	$\frac{\sqrt[4]{32}}{\sqrt[4]{2}}$
14891	Find the Inverse	f(x)=x/(1-x)	$f (x) = \frac{x}{1 - x}$
14892	Evaluate the Integral	integral from -3 to 3 of \|x-2x-3\| with respect to x	$\int_{- 3}^{3} \| x - 2 x - 3 \| d x$
14893	Simplify	9^69^-49^-2	$9^{6} \cdot 9^{- 4} \cdot 9^{- 2}$
14894	Evaluate	sec(x)-tan(x)sin(x)=1/(sec(x))	$\sec (x) - \tan (x) \sin (x) = \frac{1}{\sec (x)}$
14895	Solve for x	square root of 2x^2-7=5	$\sqrt{2 x^{2} - 7} = 5$
14896	Find the Asymptotes	(7+3e^(3x))/(4-8e^(3x))	$\frac{7 + 3 e^{3 x}}{4 - 8 e^{3 x}}$
14897	Find the Exact Value	sin((11pi)/6)+cos((5pi)/3)	$\sin (\frac{11 π}{6}) + \cos (\frac{5 π}{3})$
14898	Find the Exact Value	cot(285 degrees )	$\cot (285 °)$
14899	Find the Derivative - d/dx	-3x^(-5/3)	$- 3 x^{- \frac{5}{3}}$
14900	Graph	f(x)=-x^2+8 if x<0; -3x+7 if 0<=x<4; square root of x-4+1 if 4<=x	$f (x) = {\begin{cases} - x^{2} + 8 & x < 0 \\ - 3 x + 7 & 0 \leq x < 4 \\ \sqrt{x - 4} + 1 & 4 \leq x \end{cases}$