Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
26601	Evaluate the Limit	limit as x approaches 49 of (x( square root of x-7))/(x-49)	$lim_{x \to 49} \frac{x (\sqrt{x} - 7)}{x - 49}$
26602	Solve for t	1/a=1/m+1/t	$\frac{1}{a} = \frac{1}{m} + \frac{1}{t}$
26603	Verify the Identity	square root of ab = square root of a square root of b	$\sqrt{a b} = \sqrt{a} \sqrt{b}$
26604	Solve for x	20x=2*2	$20 x = 2 \cdot 2$
26605	Solve for x	x^2-2x<=2	$x^{2} - 2 x \leq 2$
26606	Find the Exact Value	f(-3)+2f(-1)-f(4)	$f (- 3) + 2 f (- 1) - f (4)$
26607	Solve for x	3^(x+2)+3^(1-x)>28	$3^{x + 2} + 3^{1 - x} > 28$
26608	Simplify the Radical Expression	(x^(8/9))(x^(1/3))	$(x^{\frac{8}{9}}) (x^{\frac{1}{3}})$
26609	Simplify	(21^635^380^3)/(15^414^930^2)	$\frac{21^{6} \cdot 35^{3} \cdot 80^{3}}{15^{4} \cdot 14^{9} \cdot 30^{2}}$
26610	Evaluate the Integral	-3 integral of 0(x^2-2x+3) with respect to x	$- 3 \int 0 (x^{2} - 2 x + 3) d x$
26611	Simplify	(9^5 square root of 160x^8y^11)/(3^5 square root of 5xy^2)	$\frac{9^{5} \sqrt{160 x^{8} y^{11}}}{3^{5} \sqrt{5 x y^{2}}}$
26612	Solve the System of Equations	6a-4b=3 9a-6b=-1	$6 a - 4 b = 3$ $9 a - 6 b = - 1$
26613	Find the GCF	-8d^3 and 14d^4	$- 8 d^{3}$ and $14 d^{4}$
26614	Describe the Transformation	f(x)=-4(x+7)^3	$f (x) = - 4 {(x + 7)}^{3}$
26615	Solve for x	5*11^(x+3)=55	$5 \cdot 11^{x + 3} = 55$
26616	Find f(g(a))	f(a)=2a-1 g(a)=a-5	$f (a) = 2 a - 1$ $g (a) = a - 5$
26617	Solve for x	(2x-3)/6=(2x)/3+1/2	$\frac{(2 x - 3)}{6} = \frac{2 x}{3} + \frac{1}{2}$
26618	Solve for x	-2x-7y=y-4x	$- 2 x - 7 y = y - 4 x$
26619	Solve for X	-3X+4=0	$- 3 X + 4 = 0$
26620	Evaluate	8/6+(-9/5)	$\frac{8}{6} + (- \frac{9}{5})$
26621	Solve the Inequality for x	1/x>1	$\frac{1}{x} > 1$
26622	Graph	g(x)=(x^2+x-6)/(\|x-2\|)	$g (x) = \frac{x^{2} + x - 6}{\| x - 2 \|}$
26623	Simplify the Radical Expression	9^(2/4)	$9^{\frac{2}{4}}$
26624	Solve Over the Interval	2cos(x)-1=0 on 0<=x<2pi	$2 \cos (x) - 1 = 0$ on $0 \leq x < 2 π$
26625	Graph	f(x)=4,x<=-2; x^2,-2=2	$f (x) = {\begin{cases} 4, x \leq - 2 \\ x^{2}, - 2 = 2 \end{cases}$
26626	Find the Domain and Range	y=-3/4sin(x/2)	$y = - \frac{3}{4} \sin (\frac{x}{2})$
26627	Simplify	3 2/3x-4/5(x-3 3/4)	$3 \frac{2}{3} x - \frac{4}{5} (x - 3 \frac{3}{4})$
26628	Solve for n	3/2n-8/3=-29/12	$\frac{3}{2} n - \frac{8}{3} = - \frac{29}{12}$
26629	Evaluate	f(r^2)=x/(\|x\|)	$f (r^{2}) = \frac{x}{\| x \|}$
26630	Evaluate	cot(theta)=- square root of 3	$\cot (θ) = - \sqrt{3}$
26631	Evaluate the Limit	limit as x approaches -1/2 of (2x^2-x-1)/(2x^2+3x+1)	$lim_{x \to - \frac{1}{2}} \frac{2 x^{2} - x - 1}{2 x^{2} + 3 x + 1}$
26632	Convert to Radical Form	(10^(3/5))/(10^(3/5))	$\frac{10^{\frac{3}{5}}}{10^{\frac{3}{5}}}$
26633	Simplify	( fourth root of 8* fourth root of 16)/( eighth root of 2* eighth root of 3)	$\frac{\sqrt[4]{8} \cdot \sqrt[4]{16}}{\sqrt[8]{2} \cdot \sqrt[8]{3}}$
26634	Graph	y>=-2x+5 y<=-x^2-x+4	$y \geq - 2 x + 5$ $y \leq - x^{2} - x + 4$
26635	Simplify	((x^18)/(y^-6))^(2/3)	${(\frac{x^{18}}{y^{- 6}})}^{\frac{2}{3}}$
26636	Solve the Inequality for p	\|4p+2\|>=10	$\| 4 p + 2 \| \geq 10$
26637	Solve the Inequality for x	-5<=4-3x<=2	$- 5 \leq 4 - 3 x \leq 2$
26638	Find the Domain	f(x)=(x^2+x)/(x^2-7x+10)	$f (x) = \frac{x^{2} + x}{x^{2} - 7 x + 10}$
26639	Evaluate	square root of 144+25- square root of 144- square root of 25	$\sqrt{144 + 25} - \sqrt{144} - \sqrt{25}$
26640	Solve for d	9(d+3)+23=4D	$9 (d + 3) + 23 = 4 D$
26641	Simplify	2(5x-3y+7)-8+6x	$2 (5 x - 3 y + 7) - 8 + 6 x$
26642	Solve the Inequality for x	-x^2-10x-8<x+2	$- x^{2} - 10 x - 8 < x + 2$
26643	Evaluate	((-6x^2)^3)/((3x^-4)^2)	$\frac{{(- 6 x^{2})}^{3}}{{(3 x^{- 4})}^{2}}$
26644	Solve for z	7-3z-4z=28	$7 - 3 z - 4 z = 28$
26645	Find the GCF	14ab , 28ab	$14 a b$ , $28 a b$
26646	Find the Maximum/Minimum Value	y=-1+3cos(3/2x)	$y = - 1 + 3 \cos (\frac{3}{2} x)$
26647	Find the Exact Value	5sec(pi/4)+7cot(pi/4)	$5 \sec (\frac{π}{4}) + 7 \cot (\frac{π}{4})$
26648	Factor by Grouping	5x^2+15x+11.25	$5 x^{2} + 15 x + 11.25$
26649	Solve for x	(2x-1)/x-(x+1)/(3x)=2	$\frac{2 x - 1}{x} - \frac{x + 1}{3 x} = 2$
26650	Simplify the Radical Expression	( cube root of a^10b^16)/( cube root of a^5b^4)	$\frac{\sqrt[3]{a^{10} b^{16}}}{\sqrt[3]{a^{5} b^{4}}}$
26651	Evaluate	(3 square root of 2)/2* square root of 2	$\frac{3 \sqrt{2}}{2} \cdot \sqrt{2}$
26652	Simplify	x(2x^2-8)	$x (2 x^{2} - 8)$
26653	Factor	-x^3+x	$- x^{3} + x$
26654	Solve by Substitution	11x-7y=-14 and x-2y=-4	$11 x - 7 y = - 14$ and $x - 2 y = - 4$
26655	Solve for x	square root of 2x+8-6=-4	$\sqrt{2 x + 8 - 6} = - 4$
26656	Evaluate	(cos(x)-sin(x))^2	${(\cos (x) - \sin (x))}^{2}$
26657	Divide Using Synthetic Division	Use synthetic division to find the result when 2x^3+5x^2+3x-10 is divided by x-1	Use synthetic division to find the result when $2 x^{3} + 5 x^{2} + 3 x - 10$ is divided by $x - 1$
26658	Simplify	( square root of 30x^3y^2)( square root of 5x^4y^3)	$(\sqrt{30 x^{3} y^{2}}) (\sqrt{5 x^{4} y^{3}})$
26659	Solve for x	4(2x-(3-x)+5)=-6x-28	$4 (2 x - (3 - x) + 5) = - 6 x - 28$
26660	Find the Maximum/Minimum Value	f(x)=(x+3)(x-3)	$f (x) = (x + 3) (x - 3)$
26661	Convert to Trigonometric Form	square root of 3+3i	$\sqrt{3} + 3 i$
26662	Solve the Rational Equation for x	square root of x^2+81=x+10	$\sqrt{x^{2} + 81} = x + 10$
26663	Simplify	(3m+10a-15)+(5a+20)	$(3 m + 10 a - 15) + (5 a + 20)$
26664	Evaluate	g(3y)=x^2	$g (3 y) = x^{2}$
26665	Simplify	square root of (1+cos(7A))/2	$\sqrt{\frac{1 + \cos (7 A)}{2}}$
26666	Graph	(x^2+y^2+ax)^2=a^2(x^2+y^2)	${(x^{2} + y^{2} + a x)}^{2} = a^{2} (x^{2} + y^{2})$
26667	Simplify	(-3^2*2^2)/(4^-1)	$\frac{- 3^{2} \cdot 2^{2}}{4^{- 1}}$
26668	Graph	-12<=-6x+3	$- 12 \leq - 6 x + 3$
26669	Graph Using a Table of Values	y=2sin(3x)	$y = 2 \sin (3 x)$
26670	Solve for x	1/4(8x-12)=1/3(9x-6)	$\frac{1}{4} (8 x - 12) = \frac{1}{3} (9 x - 6)$
26671	Solve for t	(t-7)^2+18=9	${(t - 7)}^{2} + 18 = 9$
26672	Simplify the Radical Expression	(2x^(-7/4))/(4x^(4/3))	$\frac{2 x^{- \frac{7}{4}}}{4 x^{\frac{4}{3}}}$
26673	Write in Slope-Intercept Form	(0,5) and (-5,1)	$(0, 5)$ and $(- 5, 1)$
26674	Simplify	(15b-20c)/(10b)	$\frac{15 b - 20 c}{10 b}$
26675	Determine if Dependent, Independent, or Inconsistent	y=-2x+3 4x+2y=9	$y = - 2 x + 3$ $4 x + 2 y = 9$
26676	Graph	tan(theta)>0 and cos(theta)<0	$\tan (θ) > 0$ and $\cos (θ) < 0$
26677	Simplify	(4a^3b^2c^0)/(2ab^-1)	$\frac{4 a^{3} b^{2} c^{0}}{2 a b^{- 1}}$
26678	Simplify/Condense	cos(pi/2-x)sec(x)	$\cos (\frac{π}{2} - x) \sec (x)$
26679	Graph	x<4 and x>-2	$x < 4$ and $x > - 2$
26680	Solve for y	y=(17(4+x)-8x)/(7-x)	$y = \frac{17 (4 + x) - 8 x}{7 - x}$
26681	Simplify	square root of 2i* square root of 6i	$\sqrt{2} i \cdot \sqrt{6} i$
26682	Find the Maximum/Minimum Value	y=sin(x)+cos(x)	$y = \sin (x) + \cos (x)$
26683	Solve for r	3646=1+5(4r+17)^(3/2)	$3646 = 1 + 5 {(4 r + 17)}^{\frac{3}{2}}$
26684	Find the Antiderivative	square root of 1+4x^2	$\sqrt{1 + 4 x^{2}}$
26685	Simplify	((3xy^-2)^-2)/(3x^-2y)	$\frac{{(3 x y^{- 2})}^{- 2}}{3 x^{- 2} y}$
26686	Solve for x	(6x^2+18x)/(2x^3)=5/x	$\frac{6 x^{2} + 18 x}{2 x^{3}} = \frac{5}{x}$
26687	Rationalize the Denominator	( cube root of x)/( cube root of xy)	$\frac{\sqrt[3]{x}}{\sqrt[3]{x y}}$
26688	Find dy/dx	y=1/(2 square root of x)	$y = \frac{1}{2 \sqrt{x}}$
26689	Find the Vertices	((x-2)^2)/9-((y-1)^2)/4	$\frac{{(x - 2)}^{2}}{9} - \frac{{(y - 1)}^{2}}{4}$
26690	Multiply	(x^2-5x-36)/(8x+32)*(x-7)/(x^2-16x+63)	$\frac{x^{2} - 5 x - 36}{8 x + 32} \cdot \frac{x - 7}{x^{2} - 16 x + 63}$
26691	Find the Domain	f(x)=(9-e^x)/(1-e^(9-x^2))	$f (x) = \frac{9 - e^{x}}{1 - e^{9 - x^{2}}}$
26692	Find the Distance Between Two Points	(-3,9) and (2,5)	$(- 3, 9)$ and $(2, 5)$
26693	Solve for y	-6=9/y	$- 6 = \frac{9}{y}$
26694	Solve for x	natural log of x- natural log of 2x-3 = natural log of 3	$\ln (x) - \ln (2 x - 3) = \ln (3)$
26695	Find the Antiderivative	e^x(e^x-1)	$e^{x} (e^{x} - 1)$
26696	Convert to Scientific Notation	((4.510^5)(2.310^-3))/(1.5*10^-4)	$\frac{(4.5 \times 10^{5}) (2.3 \times 10^{- 3})}{1.5 \times 10^{- 4}}$
26697	Solve the Inequality for x	2x^2-2>=2x+10	$2 x^{2} - 2 \geq 2 x + 10$
26698	Simplify	square root of 83 square root of 40 square root of 3	$\sqrt{8} \cdot 3 \sqrt{40} \cdot \sqrt{3}$
26699	Integrate Using u-Substitution	integral of (e^x)/(e^x+1) with respect to x	$\int \frac{e^{x}}{e^{x} + 1} d x$
26700	Solve for x	x^(-2/3)-7x^(-1/3)-15=0	$x^{- \frac{2}{3}} - 7 x^{- \frac{1}{3}} - 15 = 0$