Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
28601	Solve for x	2x=4(x-2)+3	$2 x = 4 (x - 2) + 3$
28602	Evaluate	i^40i^13i^37	$i^{40} \cdot i^{13} \cdot i^{37}$
28603	Solve the Inequality for x	4/(3x-1)>-5/x	$\frac{4}{3 x - 1} > \frac{- 5}{x}$
28604	Divide Using Long Polynomial Division	Use the long division method to find the result when 6x^3+20x^2+27x+7 is divided by 3x+1	Use the long division method to find the result when $6 x^{3} + 20 x^{2} + 27 x + 7$ is divided by $3 x + 1$
28605	Evaluate	V(r)=4/3pir^3	$V (r) = \frac{4}{3} π r^{3}$
28606	Find Amplitude, Period, and Phase Shift	f(x)=-4-5cos(2x-pi)	$f (x) = - 4 - 5 \cos (2 x - π)$
28607	Evaluate	(6^2)/((6^-2)^4)	$\frac{6^{2}}{{(6^{- 2})}^{4}}$
28608	Solve for x	2*x=3	$2 \cdot x = 3$
28609	Solve for x	-2/(x+1)+(5x-7)/(x-1)=-4/(x^2-1)	$- \frac{2}{x + 1} + \frac{5 x - 7}{x - 1} = - \frac{4}{x^{2} - 1}$
28610	Solve for x	cube root of x^2+5x = cube root of 50	$\sqrt[3]{x^{2} + 5 x} = \sqrt[3]{50}$
28611	Evaluate the Integral	integral from 4 to 8 of 1/(x natural log of x^2) with respect to x	$\int_{4}^{8} \frac{1}{x \ln (x^{2})} d x$
28612	Convert to a Decimal	1rad	$1$ radians
28613	Simplify	(2x(x+1)^2-4(x+1))/(2(x^2-1))	$\frac{2 x {(x + 1)}^{2} - 4 (x + 1)}{2 (x^{2} - 1)}$
28614	Add	(4a+6ab-b)+(-2a-ab+3b)	$(4 a + 6 a b - b) + (- 2 a - a b + 3 b)$
28615	Solve for x	log of 5+ log of 2=x	$\log (5) + \log (2) = x$
28616	Simplify	(a+b^2-c^3)^2	${(a + b^{2} - c^{3})}^{2}$
28617	Solve Using the Quadratic Formula	x=(-(8)+- square root of (8)^2-4-37)/(2(-3))	$x = \frac{- (8) + - \sqrt{{(8)}^{2} - 4 \cdot - 3 \cdot 7}}{2 (- 3)}$
28618	Solve for y	11/2y+1/3=7/4y	$\frac{11}{2} y + \frac{1}{3} = \frac{7}{4} y$
28619	Evaluate	-7(k+5)=3k-(8k-1)	$- 7 (k + 5) = 3 k - (8 k - 1)$
28620	Graph	y>=2 1<=x<=5 y<=x+3	$y \geq 2$ $1 \leq x \leq 5$ $y \leq x + 3$
28621	Find the Tangent Given the Point	(1,- square root of 3)	$(1, - \sqrt{3})$
28622	Evaluate	sin(x)tan(x)	$\sin (x) \tan (x)$
28623	Find the Distance Between Two Points	(1,5) and (9,0)	$(1, 5)$ and $(9, 0)$
28624	Solve for x	(2x+7)/(x+3)-(3x)/(x-3)=5/(x-3)	$\frac{2 x + 7}{x + 3} - \frac{3 x}{x - 3} = \frac{5}{x - 3}$
28625	Determine the Possible Number of Real Roots	2x^4-5x^3+10x^2-9=0	$2 x^{4} - 5 x^{3} + 10 x^{2} - 9 = 0$
28626	Write in Standard Form	3y-5+4(x-y)=6x	$3 y - 5 + 4 (x - y) = 6 x$
28627	Simplify	square root of 42*( square root of 6+ square root of 7+ square root of 14- square root of 21)	$\sqrt{42} \cdot (\sqrt{6} + \sqrt{7} + \sqrt{14} - \sqrt{21})$
28628	Graph	(1,- square root of 3)	$(1, - \sqrt{3})$
28629	Simplify	6(3s-2.5-5s)	$6 (3 s - 2.5 - 5 s)$
28630	Evaluate	(5e^(7x))^4	${(5 e^{7 x})}^{4}$
28631	Simplify	-( fourth root of 6m^2)^3	$- {(\sqrt[4]{6 m^{2}})}^{3}$
28632	Identify the Zeros and Their Multiplicities	f(x)=7(x^2+4)^2(x-5)^3	$f (x) = 7 {(x^{2} + 4)}^{2} {(x - 5)}^{3}$
28633	Graph	f(x) = square root of x^2-4x+4	$f (x) = \sqrt{x^{2} - 4 x + 4}$
28634	Simplify	(9n^3p^3-18n^2p^2+21n^2p^3)/(3n^2p^2)	$\frac{9 n^{3} p^{3} - 18 n^{2} p^{2} + 21 n^{2} p^{3}}{3 n^{2} p^{2}}$
28635	Convert to a Decimal	Your school raised 125% of its fundraising goal. The school raised 6750 What was the goal?	Your school raised $125 %$ of its fundraising goal. The school raised $6750$ What was the goal?
28636	Divide	3/(4/2)	$\frac{3}{\frac{4}{2}}$
28637	Solve the Inequality for x	-1>10x-3(3x+3/2)	$- 1 > 10 x - 3 (3 x + \frac{3}{2})$
28638	Simplify the Radical Expression	square root of -100xy^8	$\sqrt{- 100 x y^{8}}$
28639	Solve the System of Equations	x-y=1 3x=3y+3	$x - y = 1$ $3 x = 3 y + 3$
28640	Evaluate	i^6*i^6	$i^{6} \cdot i^{6}$
28641	Find the Derivative - d/dx	2x+cos(2x)	$2 x + \cos (2 x)$
28642	Evaluate	60(5/6)^3	$60 {(\frac{5}{6})}^{3}$
28643	Evaluate	\|x\|<4	$\| x \| < 4$
28644	Find the x and y Intercepts	f(x)=-3x^4+x^3-2x^2+x-1	$f (x) = - 3 x^{4} + x^{3} - 2 x^{2} + x - 1$
28645	Solve for x	1/2(5x+b)=3	$\frac{1}{2} (5 x + b) = 3$
28646	Evaluate the Limit	limit as x approaches 0 of square root of 6(x^2+24)	$lim_{x \to 0} \sqrt{6 (x^{2} + 24)}$
28647	Evaluate	(81x^7y^11)^(1/3)	${(81 x^{7} y^{11})}^{\frac{1}{3}}$
28648	Simplify	(7a^-3)	$(7 a^{- 3})$
28649	Evaluate	50+6(12÷4)-8^2	$50 + 6 (12 \div 4) - 8^{2}$
28650	Evaluate the Integral	integral of (9x(x^2-10)^8)/5 with respect to x	$\int \frac{9 x {(x^{2} - 10)}^{8}}{5} d x$
28651	Solve the Inequality for b	-6<b-4<2	$- 6 < b - 4 < 2$
28652	Simplify	(-6x^3-4x^2-8)+(x^3-x^2-9x+4)	$(- 6 x^{3} - 4 x^{2} - 8) + (x^{3} - x^{2} - 9 x + 4)$
28653	Simplify	4t^3u(2t^2u^2-10tu^4+2)	$4 t^{3} u (2 t^{2} u^{2} - 10 t u^{4} + 2)$
28654	Find the Exact Value	cot((3pi)/2)+cos((3pi)/2)	$\cot (\frac{3 π}{2}) + \cos (\frac{3 π}{2})$
28655	Solve for x	7=x+2x-5-5x	$7 = x + 2 x - 5 - 5 x$
28656	Solve by Substitution	2x+9y=27 and x-3y=-24	$2 x + 9 y = 27$ and $x - 3 y = - 24$
28657	Divide	(2/25)÷1 1/10	$\frac{2}{25} \div 1 \frac{1}{10}$
28658	Subtract	(x^2+5x)/(x+7)-14/(x+7)	$\frac{x^{2} + 5 x}{x + 7} - \frac{14}{x + 7}$
28659	Solve for x	(1/3)^(x+1)=27^x	${(\frac{1}{3})}^{x + 1} = 27^{x}$
28660	Describe the Transformation	f(x)=6^x , g(x)=6^x+8	$f (x) = 6^{x}$ , $g (x) = 6^{x} + 8$
28661	Evaluate	(1/x)^0	${(\frac{1}{x})}^{0}$
28662	Evaluate	(cot((3pi)/2)-cot(pi/3))/((3pi)/2-pi/3)	$\frac{\cot (\frac{3 π}{2}) - \cot (\frac{π}{3})}{\frac{3 π}{2} - \frac{π}{3}}$
28663	Simplify	(5i)^2(-x+i)	${(5 i)}^{2} (- x + i)$
28664	Solve the System of Equations	x+y=5 y+1=3x^2+2x	$x + y = 5$ $y + 1 = 3 x^{2} + 2 x$
28665	Evaluate	(0.5^2-2*0.5+4)	$({0.5}^{2} - 2 \cdot 0.5 + 4)$
28666	Eliminate the Parameter	x=sin(t)^2 and y=cos(t)	$x = \sin^{2} (t)$ and $y = \cos (t)$
28667	Add	Find the sum of -7x^2-6x+9 and -3x^2-x+7	Find the sum of $- 7 x^{2} - 6 x + 9$ and $- 3 x^{2} - x + 7$
28668	Solve for d	d^2=0	$d^{2} = 0$
28669	Simplify	square root of -8-2 square root of -50+ square root of 27-i square root of 108	$\sqrt{- 8} - 2 \sqrt{- 50} + \sqrt{27} - i \sqrt{108}$
28670	Evaluate	5*(1/2)^1	$5 \cdot {(\frac{1}{2})}^{1}$
28671	Solve for x	(1/8)^(3x)*64^(2x+1)=4	${(\frac{1}{8})}^{3 x} \cdot 64^{2 x + 1} = 4$
28672	Divide Using Long Polynomial Division	Use the long division method to find the result when 2x^3+7x^2+9x+10 is divided by 2x+5	Use the long division method to find the result when $2 x^{3} + 7 x^{2} + 9 x + 10$ is divided by $2 x + 5$
28673	Evaluate the Limit	limit as x approaches 0 from the left of csc(x)-cot(x+pi)	$lim_{x \to 0^{-}} \csc (x) - \cot (x + π)$
28674	Multiply	3(1)^2	$3 {(1)}^{2}$
28675	Simplify	2/(3/2-4/3)	$\frac{2}{\frac{3}{2} - \frac{4}{3}}$
28676	Find Where Increasing/Decreasing	y=1/2x^3+x^2-3x+1	$y = \frac{1}{2} x^{3} + x^{2} - 3 x + 1$
28677	Find the Derivative - d/dx	y=x/(3-2x^2)	$y = \frac{x}{3 - 2 x^{2}}$
28678	Find the Derivative - d/dx	(x+xy+y)^3	${(x + x y + y)}^{3}$
28679	Solve for x	3/4(x+21)=10 1/2	$\frac{3}{4} (x + 21) = 10 \frac{1}{2}$
28680	Simplify	(2i)/( square root of 3i)	$\frac{2 i}{\sqrt{3} i}$
28681	Find the Secant Given the Point	(- square root of 3,1)	$(- \sqrt{3}, 1)$
28682	Evaluate	3+ square root of x+2=11	$3 + \sqrt{x + 2} = 11$
28683	Solve the Inequality for x	-2<5+3x<20	$- 2 < 5 + 3 x < 20$
28684	Simplify	6-a+4-12a-11	$6 - a + 4 - 12 a - 11$
28685	Find the x and y Intercepts	f(x)=4(4x+3)(x+1)^2(x^2-3)	$f (x) = 4 (4 x + 3) {(x + 1)}^{2} (x^{2} - 3)$
28686	Find the Antiderivative	e^x+1/x	$e^{x} + \frac{1}{x}$
28687	Find the Antiderivative	f(x)=e	$f (x) = e$
28688	Find the GCF	12ab^3+20b	$12 a b^{3} + 20 b$
28689	Evaluate	1/(sec(x))	$\frac{1}{\sec (x)}$
28690	Write in Standard Form	a^2+4a-5a^2-a	$a^{2} + 4 a - 5 a^{2} - a$
28691	Evaluate	((3x^2y^-3)/(2x^-3y^2))^3	${(\frac{3 x^{2} y^{- 3}}{2 x^{- 3} y^{2}})}^{3}$
28692	Find the Equation Using Two Points	f(-3)=1 and f(13)=5	$f (- 3) = 1$ and $f (13) = 5$
28693	Solve for y	c=9(y+k)	$c = 9 (y + k)$
28694	Simplify	((24-6x)/(x^2-10x+24)*(x^2-8x+12)/(10-x))÷((x^2+8x-20)/(100x-x^3))	$\frac{24 - 6 x}{x^{2} - 10 x + 24} \cdot \frac{x^{2} - 8 x + 12}{10 - x} \div \frac{x^{2} + 8 x - 20}{100 x - x^{3}}$
28695	Find the Excluded Values	((-x^2+x+20)/(5x^2-25x))÷((x+4)/(2x-14))	$\frac{- x^{2} + x + 20}{5 x^{2} - 25 x} \div \frac{x + 4}{2 x - 14}$
28696	Simplify	((-x^2+x+20)/(5x^2-25x))÷((x+4)/(2x-14))	$\frac{- x^{2} + x + 20}{5 x^{2} - 25 x} \div \frac{x + 4}{2 x - 14}$
28697	Solve the Inequality for x	(x+3)/8-(x+5)/5>=3/10	$\frac{x + 3}{8} - \frac{x + 5}{5} \geq \frac{3}{10}$
28698	Simplify	(2x^2+3x+5)-(x^3-2x^2+5)	$(2 x^{2} + 3 x + 5) - (x^{3} - 2 x^{2} + 5)$
28699	Simplify	(2f^4-5f^3-3f^2)-(4f^4-3f^3-f^2-4f)	$(2 f^{4} - 5 f^{3} - 3 f^{2}) - (4 f^{4} - 3 f^{3} - f^{2} - 4 f)$
28700	Solve the System of Equations	-2y=-x+7 and 8y=4x-10	$- 2 y = - x + 7$ and $8 y = 4 x - 10$