Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
41901	Solve for x	(3x+8)/(x-4)>=0	$\frac{3 x + 8}{x - 4} \geq 0$
41902	Evaluate	-(-2)^4+8(-2)^2+5	$- {(- 2)}^{4} + 8 {(- 2)}^{2} + 5$
41903	Evaluate the Limit	limit as x approaches 1 of natural log of 3x^2+4	$lim_{x \to 1} \ln (3 x^{2} + 4)$
41904	Find the x and y Intercepts	4=x-y	$4 = x - y$
41905	Integrate Using Trig Substitution	integral from 0 to 3 of x/( square root of 36-x^2) with respect to x	$\int_{0}^{3} \frac{x}{\sqrt{36 - x^{2}}} d x$
41906	Divide	(24mn^6-40m^2n^3)/(4m^2n^3)	$\frac{24 m n^{6} - 40 m^{2} n^{3}}{4 m^{2} n^{3}}$
41907	Solve the Function Operation	Given that f(x)=x^2-7x+10 and g(x)=x-2 ; find (f(x))÷(g(x)) and express the result in standard form.	Given that $f (x) = x^{2} - 7 x + 10$ and $g (x) = x - 2$ ; find $f (x) \div g (x)$ and express the result in standard form.
41908	Solve for b	-95=5(1+5b)	$- 95 = 5 (1 + 5 b)$
41909	Expand the Logarithmic Expression	natural log of a^2 square root of a-1	$\ln (a^{2} \sqrt{a - 1})$
41910	Solve the Function Operation	f(2/9) if f(x)=3x+1/3	$f (\frac{2}{9})$ if $f (x) = 3 x + \frac{1}{3}$
41911	Find the Domain	y=1/( square root of 1-x)	$y = \frac{1}{\sqrt{1 - x}}$
41912	Solve for b	3=3/4(b-8)	$3 = \frac{3}{4} (b - 8)$
41913	Graph	y=-1/3x+2 y+4=-4/3x	$y = - \frac{1}{3} x + 2$ $y + 4 = - \frac{4}{3} x$
41914	Multiply	(1+4x+3x^2)(2-7x-9x^2)	$(1 + 4 x + 3 x^{2}) (2 - 7 x - 9 x^{2})$
41915	Divide	(5 square root of x^7)÷( square root of x^4)	$5 \sqrt{x^{7}} \div \sqrt{x^{4}}$
41916	Write in Standard Form	y+1=(3^(x+1))^2	$y + 1 = {(3^{x + 1})}^{2}$
41917	Solve the Inequality for x	7^x> cube root of 7	$7^{x} > \sqrt[3]{7}$
41918	Simplify	1/6x+15+1/6x	$\frac{1}{6} x + 15 + \frac{1}{6} x$
41919	Graph	x<=-3 or x>=5	$x \leq - 3$ or $x \geq 5$
41920	Solve for g	1/2(6g+2)=12	$\frac{1}{2} (6 g + 2) = 12$
41921	Solve for x	x+1=4/(x+1)	$x + 1 = \frac{4}{x + 1}$
41922	Find the Roots (Zeros)	f(x)=x^4-2x^2	$f (x) = x^{4} - 2 x^{2}$
41923	Find the Derivative - d/dx	cot(x)csc(x)	$\cot (x) \csc (x)$
41924	Simplify	(2 square root of a^2b)(3 square root of b)	$(2 \sqrt{a^{2} b}) (3 \sqrt{b})$
41925	Factor	(6x+12)/10	$\frac{6 x + 12}{10}$
41926	Simplify	(x^2y+xy^2+y^3)/((x^2)/y-(y^2)/x)	$\frac{x^{2} y + x y^{2} + y^{3}}{\frac{x^{2}}{y} - \frac{y^{2}}{x}}$
41927	Solve for x in Radians	sin(1/3x)=0	$\sin (\frac{1}{3} x) = 0$
41928	Find the Maximum/Minimum Value	f(x)=-x^4-7x^3-12x^2	$f (x) = - x^{4} - 7 x^{3} - 12 x^{2}$
41929	Find the Inverse	y=2 cube root of x-5	$y = 2 \sqrt[3]{x - 5}$
41930	Integrate Using u-Substitution	integral of x^3 square root of 1+x^2 with respect to x	$\int x^{3} \sqrt{1 + x^{2}} d x$
41931	Solve for v	E=1/2mv^2+mgh	$E = \frac{1}{2} m v^{2} + mg h$
41932	Multiply	(m^2-n^2)/(4m+4n)*(m+n)/(m-n)	$\frac{m^{2} - n^{2}}{4 m + 4 n} \cdot \frac{m + n}{m - n}$
41933	Solve the Inequality for g	g/5>=-2	$\frac{g}{5} \geq - 2$
41934	Simplify the Radical Expression	( square root of 2+ square root of 3)( square root of 5- square root of 7)	$(\sqrt{2} + \sqrt{3}) (\sqrt{5} - \sqrt{7})$
41935	Simplify	(17a^8b^16c^24d^2)/(3a^4d^2)	$\frac{17 a^{8} b^{16} c^{24} d^{2}}{3 a^{4} d^{2}}$
41936	Write in Standard Form	(3x^2-5x)-(x^2+4x+3)	$(3 x^{2} - 5 x) - (x^{2} + 4 x + 3)$
41937	Simplify	( cube root of 81x)/( cube root of 3)	$\frac{\sqrt[3]{81 x}}{\sqrt[3]{3}}$
41938	Graph	-22>-10+b	$- 22 > - 10 + b$
41939	Evaluate the Function	f(6)=x^2+3x-x/2	$f (6) = x^{2} + 3 x - \frac{x}{2}$
41940	Find the Slope	(-5,3) and (-4,9)	$(- 5, 3)$ and $(- 4, 9)$
41941	Find the Domain	G(x)=(7x+\|x\|)/x	$G (x) = \frac{7 x + \| x \|}{x}$
41942	Simplify	(6-r^2+5r^3)+(8r^2-r^3+4)-(3r^3-r^2-4)	$(6 - r^{2} + 5 r^{3}) + (8 r^{2} - r^{3} + 4) - (3 r^{3} - r^{2} - 4)$
41943	Find the Reference Angle	csc(-300 degrees )	$\csc (- 300 °)$
41944	Solve for x	1/2+x=1/3+x	$\frac{1}{2} + x = \frac{1}{3} + x$
41945	Solve the Inequality for x	3^(6x+18)<27^(3x)	$3^{6 x + 18} < 27^{3 x}$
41946	Find the x and y Intercepts	f(x)=(2x^3+8x^2-10x)/(2x^2+2x)	$f (x) = \frac{2 x^{3} + 8 x^{2} - 10 x}{2 x^{2} + 2 x}$
41947	Solve the Inequality for x	6/7>-2x-8/7	$\frac{6}{7} > - 2 x - \frac{8}{7}$
41948	Find All Complex Solutions	x(x-2)-5=0	$x (x - 2) - 5 = 0$
41949	Find the Slope	(1,4) and (6,-1)	$(1, 4)$ and $(6, - 1)$
41950	Evaluate the Integral	integral from 0 to pi/4 of 1/(cos(x)^2) with respect to x	$\int_{0}^{\frac{π}{4}} \frac{1}{\cos^{2} (x)} d x$
41951	Graph	2(x+1)^2(x-3)^4(x-7)	$2 {(x + 1)}^{2} {(x - 3)}^{4} (x - 7)$
41952	Multiply	(x-2)/(x+3)*(x^2-9)/(4x-8)	$\frac{x - 2}{x + 3} \cdot \frac{x^{2} - 9}{4 x - 8}$
41953	Evaluate from the Left	limit as x approaches 0 of square root of x	$lim_{x \to 0} \sqrt{x}$
41954	Simplify	(x-4)+(-2x+1)	$(x - 4) + (- 2 x + 1)$
41955	Solve for f	-94f=-90+5(-18f-58)	$- 94 f = - 90 + 5 (- 18 f - 58)$
41956	Solve for x	x/2=3y^2	$\frac{x}{2} = 3 y^{2}$
41957	Solve for x	(x,2) and (6,3) , m=-1/2	$(x, 2)$ and $(6, 3)$ , $m = - \frac{1}{2}$
41958	Solve for x	x-3(2-3x)=2(5x-3)	$x - 3 (2 - 3 x) = 2 (5 x - 3)$
41959	Simplify	((x^2+1)^2)^2	${({(x^{2} + 1)}^{2})}^{2}$
41960	Multiply	5 square root of 14z^2*4 square root of 21z^3	$5 \sqrt{14 z^{2}} \cdot 4 \sqrt{21 z^{3}}$
41961	Solve the System of Inequalities	y<=1/2x+3 y<=3x-4	$y \leq \frac{1}{2} x + 3$ $y \leq 3 x - 4$
41962	Identify the Sequence	5 , 20 , 80 , 320 ; dots	$5$ , $20$ , $80$ , $320$ ; dots
41963	Evaluate	5 square root of 14z^2*4 square root of 21z^3	$5 \sqrt{14 z^{2}} \cdot 4 \sqrt{21 z^{3}}$
41964	Multiply	( square root of 3)( cube root of 3)	$(\sqrt{3}) (\sqrt[3]{3})$
41965	Simplify the Radical Expression	-6 square root of 112x^3-8x square root of 175x	$- 6 \sqrt{112 x^{3}} - 8 x \sqrt{175 x}$
41966	Add	2x^3-4x^2+7x+1 and -x^3+2x^2+3x-5	$2 x^{3} - 4 x^{2} + 7 x + 1$ and $- x^{3} + 2 x^{2} + 3 x - 5$
41967	Identify the Zeros and Their Multiplicities	f(x)=-2x^2(2x-1)^3(4x+3)	$f (x) = - 2 x^{2} {(2 x - 1)}^{3} (4 x + 3)$
41968	Find the Maximum/Minimum Value	f(x)=-\|x\|+7	$f (x) = - \| x \| + 7$
41969	Evaluate the Integral	integral of (4e^2)/(x^-3) with respect to x	$\int \frac{4 e^{2}}{x^{- 3}} d x$
41970	Simplify	1/(i^-26)	$\frac{1}{i^{- 26}}$
41971	Solve for x	43=40+ square root of 0.001x+1	$43 = 40 + \sqrt{0.001 x + 1}$
41972	Evaluate	(x+y)/(x-y)+1/(x+y)-(x^2+y^2)/(x^2-y^2)	$\frac{x + y}{x - y} + \frac{1}{x + y} - \frac{x^{2} + y^{2}}{x^{2} - y^{2}}$
41973	Graph	3^m+3^(-)*3=3^5	$3^{m} + 3^{-} \cdot 3 = 3^{5}$
41974	Simplify	(r^2+s^2)-(5r^2+4s^2)	$(r^{2} + s^{2}) - (5 r^{2} + 4 s^{2})$
41975	Write the Fraction in Simplest Form	-5/12-(-9/3)	$- \frac{5}{12} - (- \frac{9}{3})$
41976	Divide	5n^2-11mn+6m^2 entre m-n	$5 n^{2} - 11 m n + 6 m^{2}$ entre $m - n$
41977	Simplify the Radical Expression	fourth root of 3^2	$\sqrt[4]{3^{2}}$
41978	Evaluate Using the Given Value	Solve A=1/2bh for b	Solve $A = \frac{1}{2} b h$ for $b$
41979	Simplify	(7x^5-4x^4+3x^2-5)+(-4x^4-2x^2-x+1)	$(7 x^{5} - 4 x^{4} + 3 x^{2} - 5) + (- 4 x^{4} - 2 x^{2} - x + 1)$
41980	Find dy/dx	sin(xy)=y	$\sin (x y) = y$
41981	Describe the Transformation	y=-1/5 cube root of x+2	$y = - \frac{1}{5} \sqrt[3]{x} + 2$
41982	Find the Derivative - d/dy	1/(e^y)	$\frac{1}{e^{y}}$
41983	Solve for x	1=2pi square root of x/9.8	$1 = 2 π \sqrt{\frac{x}{9.8}}$
41984	Solve for f	f(0)=2 and f(2)=4	$f (0) = 2$ and $f (2) = 4$
41985	Solve the Function Operation	f(x)=(x+2)^(1/5) ; find f^-1(x)	$f (x) = {(x + 2)}^{\frac{1}{5}}$ ; find $f^{- 1} (x)$
41986	Identify the Sequence	3 , 15 , 75 , 375 ; dots	$3$ , $15$ , $75$ , $375$ ; dots
41987	Solve for x	cos(pi/6+x)+sin(pi/3+x)=0	$\cos (\frac{π}{6} + x) + \sin (\frac{π}{3} + x) = 0$
41988	Solve the System of Equations	x+2y-6z=4 x-3y+9z=9 -x-3y+7z=-1	$x + 2 y - 6 z = 4$ $x - 3 y + 9 z = 9$ $- x - 3 y + 7 z = - 1$
41989	Find the Derivative - d/dx	x^3-3x^2y+3xy^2-y^3	$x^{3} - 3 x^{2} y + 3 x y^{2} - y^{3}$
41990	Evaluate the Integral	integral of ((3x^2+4x+1)/(2x)) with respect to x	$\int (\frac{3 x^{2} + 4 x + 1}{2 x}) d x$
41991	Simplify	(5z^4)(4z^3)(2z)	$(5 z^{4}) (4 z^{3}) (2 z)$
41992	Multiply	14xy^4(-14y)	$14 x y^{4} (- 14 y)$
41993	Solve the Inequality for t	2<10+t	$2 < 10 + t$
41994	Simplify	(2+ square root of -8)/(1+i)	$\frac{2 + \sqrt{- 8}}{1 + i}$
41995	Solve for x	-8x+(2x-6)+(x+15)=12	$- 8 x + (2 x - 6) + (x + 15) = 12$
41996	Divide Using Long Polynomial Division	Use the long division method to find the result when 2x^3+13x^2+18x+6 is divided by 2x+1	Use the long division method to find the result when $2 x^{3} + 13 x^{2} + 18 x + 6$ is divided by $2 x + 1$
41997	Solve for t	k(-7)=10t-19	$k (- 7) = 10 t - 19$
41998	Convert to a Percentage	162 is what percent of 200	$162$ is what percent of $200$
41999	Multiply	(-3/4)(3/3)	$(- \frac{3}{4}) (\frac{3}{3})$
42000	Factor	xz+yz-5(x+y)	$x z + y z - 5 (x + y)$