Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
17901	Solve for x	log base 5 of x = log base 5 of 8- log base 5 of 6-x	$\log_{5} (x) = \log_{5} (8) - \log_{5} (6 - x)$
17902	Find the Exact Value	csc(arcsec(-2))	$\csc (arcsec (- 2))$
17903	Evaluate the Limit	limit as x approaches infinity of 250-e^(-x)	$lim_{x \to \infty} 250 - e^{- x}$
17904	Multiply	4 square root of 15( square root of 6+ square root of 5)	$4 \sqrt{15} (\sqrt{6} + \sqrt{5})$
17905	Solve the Inequality for x	5(5-4x)+7x<4(7+4x)	$5 (5 - 4 x) + 7 x < 4 (7 + 4 x)$
17906	Find the Derivative - d/dx	( square root of x+1-1)/x	$\frac{\sqrt{x + 1} - 1}{x}$
17907	Evaluate	(8 square root of 3)/3*2	$\frac{8 \sqrt{3}}{3} \cdot 2$
17908	Evaluate	3x^2-4=0	$3 x^{2} - 4 = 0$
17909	Simplify	(((x-y)^2)/(x+y))÷((3x+3y)/(x^2-y^2))	$\frac{{(x - y)}^{2}}{x + y} \div \frac{3 x + 3 y}{x^{2} - y^{2}}$
17910	Simplify	(x^2+2x+1)/((x^2-3x-18)/((x^2-1)/(x^2-7x+6)))	$\frac{x^{2} + 2 x + 1}{\frac{x^{2} - 3 x - 18}{\frac{x^{2} - 1}{x^{2} - 7 x + 6}}}$
17911	Solve for x	(x+3)+0+(5x)=15	$(x + 3) + 0 + (5 x) = 15$
17912	Factor	10x^2+15x-9=2x^2+x-14	$10 x^{2} + 15 x - 9 = 2 x^{2} + x - 14$
17913	Simplify	((x+1)^3)/((x+1)^5)	$\frac{{(x + 1)}^{3}}{{(x + 1)}^{5}}$
17914	Evaluate	7/( natural log of e)	$\frac{7}{\ln (e)}$
17915	Solve for x	2x-pi=0	$2 x - π = 0$
17916	Simplify	4x-(-4x^3+11)-(2x+x^3)+7x	$4 x - (- 4 x^{3} + 11) - (2 x + x^{3}) + 7 x$
17917	Solve for x	(4^1012-4^1011)/3=2^x	$\frac{4^{1012} - 4^{1011}}{3} = 2^{x}$
17918	Solve for y	x/y=m/n	$\frac{x}{y} = \frac{m}{n}$
17919	Graph	-x+y>=-1 x+2y<4	$- x + y \geq - 1$ $x + 2 y < 4$
17920	Multiply	(b^2-3b-10)/((b-2)^2)*(b-2)/(b-5)	$\frac{b^{2} - 3 b - 10}{{(b - 2)}^{2}} \cdot \frac{b - 2}{b - 5}$
17921	Solve for X	(4X-3)/5=1	$\frac{4 X - 3}{5} = 1$
17922	Simplify the Radical Expression	fourth root of 81+ fourth root of 32- fourth root of 2	$\sqrt[4]{81} + \sqrt[4]{32} - \sqrt[4]{2}$
17923	Simplify the Radical Expression	square root of 12* square root of y^3* square root of 6y	$\sqrt{12} \cdot \sqrt{y^{3}} \cdot \sqrt{6 y}$
17924	Solve for r	V=pir^2h for r	$V = π r^{2} h$ for $r$
17925	Find the Derivative - d/dx	natural log of 2-e^x	$\ln (2 - e^{x})$
17926	Simplify	fourth root of 36* cube root of 6	$\sqrt[4]{36} \cdot \sqrt[3]{6}$
17927	Solve for y	2y=-10x	$2 y = - 10 x$
17928	Simplify	(v^-4*v^3)^(1/4)	${(v^{- 4} \cdot v^{3})}^{\frac{1}{4}}$
17929	Solve the Inequality for x	2x^2-26<=-14x+10	$2 x^{2} - 26 \leq - 14 x + 10$
17930	Evaluate	y=(7/8)^3	$y = {(\frac{7}{8})}^{3}$
17931	Solve for y	3/(y-2)=8	$\frac{3}{y - 2} = 8$
17932	Graph	y=-2x^3+x^2+18x-9	$y = - 2 x^{3} + x^{2} + 18 x - 9$
17933	Find the Inverse	f(x)=(4+x)/x	$f (x) = \frac{4 + x}{x}$
17934	Graph	x-y=-1 x-3y=-9	$x - y = - 1$ $x - 3 y = - 9$
17935	Solve for x	5/x+1/(2x)=-1/2	$\frac{5}{x} + \frac{1}{2 x} = \frac{- 1}{2}$
17936	Solve the Inequality for x	x^2-2x<6	$x^{2} - 2 x < 6$
17937	Convert to Radical Form	(y^(5/6)*y^(2/3))/(y^(1/2))	$\frac{y^{\frac{5}{6}} \cdot y^{\frac{2}{3}}}{y^{\frac{1}{2}}}$
17938	Simplify	(u-2v)/(12u^2)+(5u-6v)/(12u^2)	$\frac{u - 2 v}{12 u^{2}} + \frac{5 u - 6 v}{12 u^{2}}$
17939	Evaluate	(2+4)(8+3)^0	$(2 + 4) {(8 + 3)}^{0}$
17940	Find the Domain and Range	y=cos(x)^2	$y = \cos^{2} (x)$
17941	Solve for l	v=1.34 square root of l	$v = 1.34 \sqrt{l}$
17942	Evaluate the Limit	limit as x approaches -3 of (x^2-9)/( square root of x+7-2)	$lim_{x \to - 3} \frac{x^{2} - 9}{\sqrt{x + 7} - 2}$
17943	Graph	\|2x-6\|=\|x\|	$\| 2 x - 6 \| = \| x \|$
17944	Simplify	((9x^3)/7)÷(6/(5x^3))	$\frac{9 x^{3}}{7} \div \frac{6}{5 x^{3}}$
17945	Find the Maximum/Minimum Value	f(x)=x^3-3/2x^2-36x	$f (x) = x^{3} - \frac{3}{2} x^{2} - 36 x$
17946	Graph	y=0.5(3^x-3)	$y = 0.5 (3^{x} - 3)$
17947	Solve for x	log base 4 of 2x+1 = log base 4 of x+2- log base 4 of 3	$\log_{4} (2 x + 1) = \log_{4} (x + 2) - \log_{4} (3)$
17948	Simplify	(y^(5/6)*y^(2/3))/(y^(1/2))	$\frac{y^{\frac{5}{6}} \cdot y^{\frac{2}{3}}}{y^{\frac{1}{2}}}$
17949	Multiply	(a^2b^3c^4)(a^5b^4c^3)	$(a^{2} b^{3} c^{4}) (a^{5} b^{4} c^{3})$
17950	Solve the Function Operation	Find (g-h)(x) when g(x)=x^2-7x+11 and h(x)=x^3+7x+1	Find $(g - h) (x)$ when $g (x) = x^{2} - 7 x + 11$ and $h (x) = x^{3} + 7 x + 1$
17951	Solve for x	log of x+y=1/2( log of x+ log of y)+ log of 2	$\log (x + y) = \frac{1}{2} (\log (x) + \log (y)) + \log (2)$
17952	Find the x and y Intercepts	f(x)=(x^3)/(2x^2-8)	$f (x) = \frac{x^{3}}{2 x^{2} - 8}$
17953	Find the Derivative Using Chain Rule - d/dx	y=(sin(x^3+7)^5)^9	$y = {(\sin^{5} (x^{3} + 7))}^{9}$
17954	Graph	The graph of a function f is shown below. Find f(2)	The graph of a function $f$ is shown below. Find $f (2)$
17955	Evaluate the Integral	integral from 0 to pi/2 of cos(x)^9sin(x)^5 with respect to x	$\int_{0}^{\frac{π}{2}} \cos^{9} (x) \sin^{5} (x) d x$
17956	Simplify	15/(10 square root of 2)	$\frac{15}{10 \sqrt{2}}$
17957	Write in Standard Form	4/3=-6e-5/3	$\frac{4}{3} = - 6 e - \frac{5}{3}$
17958	Simplify	(- square root of 3)/-1	$\frac{- \sqrt{3}}{- 1}$
17959	Simplify	(2+i^6)-(1-i^2)	$(2 + i^{6}) - (1 - i^{2})$
17960	Convert to Radical Form	2^(1/2)*2^3	$2^{\frac{1}{2}} \cdot 2^{3}$
17961	Simplify	cube root of 40/125	$\sqrt[3]{\frac{40}{125}}$
17962	Simplify	(3+ square root of 6)/(5- square root of 24)	$\frac{3 + \sqrt{6}}{5 - \sqrt{24}}$
17963	Write in Standard Form	5x+4x^2(2x+7)-6x^2-9x	$5 x + 4 x^{2} (2 x + 7) - 6 x^{2} - 9 x$
17964	Determine if True	(cos(pi/2-theta))/(sin(2theta))=(sec(theta))/2	$\frac{\cos (\frac{π}{2} - θ)}{\sin (2 θ)} = \frac{\sec (θ)}{2}$
17965	Solve for x	(2x+5)/(x+1)+3/(x-1)=(x+2)/(x-1)	$\frac{2 x + 5}{x + 1} + \frac{3}{x - 1} = \frac{x + 2}{x - 1}$
17966	Evaluate the Integral	integral from 0 to pi/3 of square root of 1+tan(x)^2 with respect to x	$\int_{0}^{\frac{π}{3}} \sqrt{1 + \tan^{2} (x)} d x$
17967	Solve for k	k=6(-5)+100	$k = 6 (- 5) + 100$
17968	Find the Turning Points	f(x)=-x^3-11x^2-28x	$f (x) = - x^{3} - 11 x^{2} - 28 x$
17969	Solve the Inequality for c	-5<10c-1<74	$- 5 < 10 c - 1 < 74$
17970	Solve for a	v^2=v_0^2+2ax	$v^{2} = v_{0^{2}} + 2 a x$
17971	Solve for x	2(x-4 1/2)=-6.1	$2 (x - 4 \frac{1}{2}) = - 6.1$
17972	Simplify	((14x^4)/(9x))÷((7x)/(18x^3))	$\frac{14 x^{4}}{9 x} \div \frac{7 x}{18 x^{3}}$
17973	Find the Domain	f(x)=(x^2+x-6)/(x^3-3x^2-16x+48)	$f (x) = \frac{x^{2} + x - 6}{x^{3} - 3 x^{2} - 16 x + 48}$
17974	Solve the Inequality for w	11w+6>=182	$11 w + 6 \geq 182$
17975	Multiply	5/92/57/2	$\frac{5}{9} \cdot \frac{2}{5} \cdot \frac{7}{2}$
17976	Find the Domain	square root of 2x^3-5x^2-3x	$\sqrt{2 x^{3} - 5 x^{2} - 3 x}$
17977	Find the LCD	-3/(4x+4) and (9x)/(x+1)	$\frac{- 3}{4 x + 4}$ and $\frac{9 x}{x + 1}$
17978	Evaluate the Integral	integral from 1 to infinity of 1/( square root of pix) with respect to x	$\int_{1}^{\infty} \frac{1}{\sqrt{π x}} d x$
17979	Simplify	( fourth root of 3^3)/( square root of 3)	$\frac{\sqrt[4]{3^{3}}}{\sqrt{3}}$
17980	Evaluate	(4a)/5+3/2-a/4=(7a)/10	$\frac{4 a}{5} + \frac{3}{2} - \frac{a}{4} = \frac{7 a}{10}$
17981	Convert to a Decimal	520deg	$520$ degrees
17982	Simplify	4^4*(4^-2)^4	$4^{4} \cdot {(4^{- 2})}^{4}$
17983	Evaluate	(7^-2m^0)/(n^-4)	$\frac{7^{- 2} m^{0}}{n^{- 4}}$
17984	Simplify	((2x^-3)^2)/(4x^4)	$\frac{{(2 x^{- 3})}^{2}}{4 x^{4}}$
17985	Solve for θ in Degrees	sin(theta)^2+sin(theta)-2=0	$\sin^{2} (θ) + \sin (θ) - 2 = 0$
17986	Evaluate	h(t)=175(1.028)^5	$h (t) = 175 {(1.028)}^{5}$
17987	Solve for n	-8.4e^(n+2.7)=-15	$- 8.4 e^{n + 2.7} = - 15$
17988	Find the Antiderivative	1/e	$\frac{1}{e}$
17989	Simplify	square root of 5* square root of 4* square root of 9	$\sqrt{5} \cdot \sqrt[2]{4} \cdot \sqrt{9}$
17990	Evaluate	log base 6 of 36+ log base 4 of 4+ log base 3 of 1/27	$\log_{6} (36) + \log_{4} (4) + \log_{3} (\frac{1}{27})$
17991	Solve for x	2x^4-5x^3+10x^2-9=0	$2 x^{4} - 5 x^{3} + 10 x^{2} - 9 = 0$
17992	Evaluate	3^(9x)=3^(7x+8)	$3^{9 x} = 3^{7 x + 8}$
17993	Find the Reference Angle	120deg	$120$ degrees
17994	Solve for y	limit as x approaches -1 of (x^2+yx+z)/(x^2-1)=3	$lim_{x \to - 1} \frac{x^{2} + y x + z}{x^{2} - 1} = 3$
17995	Solve for x	3x^2(2x+3)=0	$3 x^{2} (2 x + 3) = 0$
17996	Find the Excluded Values	(2x^2)/(3x^2-4x)	$\frac{2 x^{2}}{3 x^{2} - 4 x}$
17997	Divide Using Long Polynomial Division	Use the long division method to find the result when x^3+5x^2+14x+16 is divided by x+2	Use the long division method to find the result when $x^{3} + 5 x^{2} + 14 x + 16$ is divided by $x + 2$
17998	Solve for a	1/a-1/b=1/c	$\frac{1}{a} - \frac{1}{b} = \frac{1}{c}$
17999	Divide	( square root of 20)÷( square root of 5)	$\sqrt{20} \div \sqrt{5}$
18000	Simplify	(4+i^2)+(9+i^3)	$(4 + i^{2}) + (9 + i^{3})$