Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
46501	Solve for x	2 cube root of x-10+4=0	$2 \sqrt[3]{x - 10} + 4 = 0$
46502	Find dy/dx	y=xy^2+4x-y	$y = x y^{2} + 4 x - y$
46503	Find the Derivative - d/dx	y=(sin(x)^2)/(cos(x)^2)	$y = \frac{\sin^{2} (x)}{\cos^{2} (x)}$
46504	Simplify	square root of 320+ square root of 45+ cube root of 40	$\sqrt{320} + \sqrt{45} + \sqrt[3]{40}$
46505	Find dy/dx	y=2 square root of 6x^2-8x+5	$y = 2 \sqrt{6 x^{2} - 8 x + 5}$
46506	Solve for x in Degrees	8cos(x)tan(x)=-tan(x)	$8 \cos (x) \tan (x) = - \tan (x)$
46507	Simplify	(1/(x^2)+1/x)/(1/(x^3))	$\frac{(\frac{1}{x^{2}} + \frac{1}{x})}{\frac{1}{x^{3}}}$
46508	Solve for x	9^(2x)*9^(1-3x)=27^(x+2)	$9^{2 x} \cdot 9^{1 - 3 x} = 27^{x + 2}$
46509	Solve for x	7/2=(3x+6)/x	$\frac{7}{2} = \frac{3 x + 6}{x}$
46510	Simplify	-1/(2+ square root of 3)	$- \frac{1}{2 + \sqrt{3}}$
46511	Solve for y	x=-2+2y	$x = - 2 + 2 y$
46512	Simplify	(2s^2p-5w^2)^2	${(2 s^{2} p - 5 w^{2})}^{2}$
46513	Find the Roots (Zeros)	x^3-4x^2+4x=0	$x^{3} - 4 x^{2} + 4 x = 0$
46514	Solve for x	2x-5(1-3x)=1-3(1-2x)	$2 x - 5 (1 - 3 x) = 1 - 3 (1 - 2 x)$
46515	Evaluate	3(p+(-3))+5p	$3 (p + (- 3)) + 5 p$
46516	Evaluate	7*((7+7)÷7)	$7 \times ((7 + 7) \div 7)$
46517	Evaluate	(2 square root of 6)^2-3( square root of 21)^2	${(2 \sqrt{6})}^{2} - 3 {(\sqrt{21})}^{2}$
46518	Graph	Graph the line x=8	Graph the line $x = 8$
46519	Find dx/dy	3x^2-2xy+5y^2=1	$3 x^{2} - 2 x y + 5 y^{2} = 1$
46520	Combine Like Terms	25r^3+9s-2r^3+5s	$25 r^{3} + 9 s - 2 r^{3} + 5 s$
46521	Simplify	(5x-xy^2)-(4xy^2-2x)	$(5 x - x y^{2}) - (4 x y^{2} - 2 x)$
46522	Multiply	(x+2y)*(x^2-xy+3y)	$(x + 2 y) \cdot (x^{2} - x y + 3 y)$
46523	Determine if True	1+cot(x)^2=csc(x)^2	$1 + \cot^{2} (x) = \csc^{2} (x)$
46524	Add	(6x-8)/(4x-1)+(x+3)/(4x-1)	$\frac{6 x - 8}{4 x - 1} + \frac{x + 3}{4 x - 1}$
46525	Simplify	(7v)/(7v^2+56v)(v-2)	$\frac{7 v}{7 v^{2} + 56 v} (v - 2)$
46526	Verify the Identity	tan(A)=tan(A)*csc(A)^2+cot(-A)	$\tan (A) = \tan (A) \cdot \csc^{2} (A) + \cot (- A)$
46527	Simplify	(a^4)^-5*a^13	${(a^{4})}^{- 5} \cdot a^{13}$
46528	Simplify	a^(1/4)b^-7c^0	$a^{\frac{1}{4}} b^{- 7} c^{0}$
46529	Divide	4 , 420÷170	$4$ , $420 \div 170$
46530	Write in Standard Form	(x^2+9x+18)-(x+6)	$(x^{2} + 9 x + 18) - (x + 6)$
46531	Simplify	(sec(x)tan(x))/(tan(x)^2+1)	$\frac{\sec (x) \tan (x)}{\tan^{2} (x) + 1}$
46532	Write the Fraction in Simplest Form	((-4x-12)/(x-7))÷((x^2-12x+36)/(2x-14))	$\frac{- 4 x - 12}{x - 7} \div \frac{x^{2} - 12 x + 36}{2 x - 14}$
46533	Solve the Function Operation	Let f(x)=8x^3-28x+61 and g(x)=2x+5 Find (f(x))/(g(x))	Let $f (x) = 8 x^{3} - 28 x + 61$ and $g (x) = 2 x + 5$ Find $\frac{f (x)}{g (x)}$
46534	Evaluate	3(v-9w+1)	$3 (v - 9 w + 1)$
46535	Evaluate	(1+sin(theta))(1-sin(theta))=cos(theta)^2	$(1 + \sin (θ)) (1 - \sin (θ)) = \cos^{2} (θ)$
46536	Write Using Positive Exponents	x^7y^-5	$x^{7} y^{- 5}$
46537	Simplify	(3/(2x^2))/(10/(7x^2))	$\frac{\frac{3}{2 x^{2}}}{\frac{10}{7 x^{2}}}$
46538	Evaluate	8^6-64(8)^4+8^2-7*8-51	$8^{6} - 64 {(8)}^{4} + 8^{2} - 7 \cdot 8 - 51$
46539	Solve Using the Square Root Property	5(x-10)^2-33=-3	$5 {(x - 10)}^{2} - 33 = - 3$
46540	Solve for θ	cot(theta)=undefined	$\cot (θ) = u n d e f i n e d$
46541	Evaluate the Function	f(0)=0+2	$f (0) = 0 + 2$
46542	Convert to Interval Notation	-8<=(-3x+1)/4<=9	$- 8 \leq \frac{- 3 x + 1}{4} \leq 9$
46543	Solve the Function Operation	f(x)=(x+3)/(x+1) , (f(x)-f(1))/(x-1)	$f (x) = \frac{x + 3}{x + 1}$ , $\frac{f (x) - f (1)}{x - 1}$
46544	Multiply	a(a+3b)	$a (a + 3 b)$
46545	Solve for x	9x+4-x=4(2x+1)	$9 x + 4 - x = 4 (2 x + 1)$
46546	Simplify	-5/6(42x+18y)-(2y-x)	$- \frac{5}{6} (42 x + 18 y) - (2 y - x)$
46547	Simplify the Radical Expression	(3^4d^(-3/4))/(3^2d^(3/4))	$\frac{3^{4} d^{- \frac{3}{4}}}{3^{2} d^{\frac{3}{4}}}$
46548	Integrate By Parts	integral of 4xe^(2x) with respect to x	$\int 4 x e^{2 x} d x$
46549	Simplify	-((y^4)/4)^2	$- {(\frac{y^{4}}{4})}^{2}$
46550	Solve the Inequality for x	3/4>-(x-3)+2x	$\frac{3}{4} > - (x - 3) + 2 x$
46551	Simplify the Radical Expression	x square root of 63x^2+4 square root of 63x^4	$x \sqrt{63 x^{2}} + 4 \sqrt{63 x^{4}}$
46552	Evaluate the Limit	limit as x approaches infinity of 2/(x^4)	$lim_{x \to \infty} \frac{2}{x^{4}}$
46553	Simplify	(4x^5y^-3)(-3x^-3y^3)	$(4 x^{5} y^{- 3}) (- 3 x^{- 3} y^{3})$
46554	Simplify	-8/-6	$- \frac{8}{- 6}$
46555	Simplify the Radical Expression	square root of (5x)/(49y^4)	$\sqrt{\frac{5 x}{49 y^{4}}}$
46556	Find the Domain and Range	x^3-x^2+1	$x^{3} - x^{2} + 1$
46557	Solve for x	(x+4)/(2x)=12/16	$\frac{x + 4}{2 x} = \frac{12}{16}$
46558	Multiply	[[-3],[-1],[0]][[1,-1,-1,-1]]	$[\begin{array}{c} - 3 \\ - 1 \\ 0 \end{array}] [\begin{array}{c} 1 & - 1 & - 1 & - 1 \end{array}]$
46559	Subtract	9 square root of 5-2 square root of 5-4 square root of 3- square root of 3	$9 \sqrt{5} - 2 \sqrt{5} - 4 \sqrt{3} - \sqrt{3}$
46560	Simplify	((6^2-24)^2)÷((x/y)^-5)	${(6^{2} - 24)}^{2} \div {(\frac{x}{y})}^{- 5}$
46561	Solve for d	5 3/4=d-2 1/8	$5 \frac{3}{4} = d - 2 \frac{1}{8}$
46562	Simplify the Radical Expression	(1/(q^-8*q^2))^(1/8)	${(\frac{1}{q^{- 8} \cdot q^{2}})}^{\frac{1}{8}}$
46563	Solve the Absolute Value Inequality for x	\|3x-6\|=0	$\| 3 x - 6 \| = 0$
46564	Simplify	((7x^2)/3)/(5/(4x))	$\frac{\frac{7 x^{2}}{3}}{\frac{5}{4 x}}$
46565	Find Where Increasing/Decreasing	y = square root of x+1-3	$y = \sqrt{x + 1} - 3$
46566	Divide	( fourth root of x^2y^3)/( cube root of xy)	$\frac{\sqrt[4]{x^{2} y^{3}}}{\sqrt[3]{x y}}$
46567	Graph	csc(theta)>0 and cos(theta)<0	$\csc (θ) > 0$ and $\cos (θ) < 0$
46568	Write in Standard Form	4x+3x^2-5x^3+8x^4	$4 x + 3 x^{2} - 5 x^{3} + 8 x^{4}$
46569	Graph	-f(2(x-2))+1	$- f (2 (x - 2)) + 1$
46570	Find the LCD	(12x)/(x-1) and x/(x-6)	$\frac{12 x}{x - 1}$ and $\frac{x}{x - 6}$
46571	Simplify	3/4 cube root of 128+2/5 cube root of 250	$\frac{3}{4} \sqrt[3]{128} + \frac{2}{5} \sqrt[3]{250}$
46572	Simplify	(2t^2+13t+15)÷(t+6)	$(2 t^{2} + 13 t + 15) \div (t + 6)$
46573	Find All Complex Solutions	2cos(x)sin(x)-cos(x)=0	$2 \cos (x) \sin (x) - \cos (x) = 0$
46574	Evaluate	10+12/6+12	$10 + \frac{12}{6} + 12$
46575	Plot	y>x-5	$y > x - 5$
46576	Evaluate	square root of cube root of 81	$\sqrt{\sqrt[3]{81}}$
46577	Solve the Absolute Value Inequality for y	\|y\|=0	$\| y \| = 0$
46578	Find the x and y Intercepts	f(x)=x^2(x-5)(x^2+2)	$f (x) = x^{2} (x - 5) (x^{2} + 2)$
46579	Evaluate	1/3pir^2h	$\frac{1}{3} π r^{2} h$
46580	Write in Standard Form	(3m^2-4m+1)(2m^2+5m-9)	$(3 m^{2} - 4 m + 1) (2 m^{2} + 5 m - 9)$
46581	Solve the Inequality for x	x^4<9x^2	$x^{4} < 9 x^{2}$
46582	Graph	y=-1/2(x+5)+4	$y = - \frac{1}{2} (x + 5) + 4$
46583	Find the GCF	9 and 15	$9$ and $15$
46584	Solve the System of Inequalities	x<5 and x>-5	$x < 5$ and $x > - 5$
46585	Write in Standard Form	-9i(3i-8)	$- 9 i (3 i - 8)$
46586	Factor	9x^2y^7-3x^4y^3-27y^8x	$9 x^{2} y^{7} - 3 x^{4} y^{3} - 27 y^{8} x$
46587	Evaluate the Integral	2pi integral from 1 to 4 of x(1/(pix)) with respect to x	$2 π \int_{1}^{4} x (\frac{1}{π x}) d x$
46588	Simplify	(6r+2+8r^3)-(5r^3-11-8r^5)-(6r+9r^5)	$(6 r + 2 + 8 r^{3}) - (5 r^{3} - 11 - 8 r^{5}) - (6 r + 9 r^{5})$
46589	Graph	(y^3)/16-x^2=1	$\frac{y^{3}}{16} - x^{2} = 1$
46590	Find the Concavity	-3/5x^5+7x^4	$- \frac{3}{5} x^{5} + 7 x^{4}$
46591	Find the Slope	(3,0) and (6,-1)	$(3, 0)$ and $(6, - 1)$
46592	Find the Concavity	-1/15x^6+6x^4	$- \frac{1}{15} x^{6} + 6 x^{4}$
46593	Simplify	((4t^2-16)/8)/((t-2)/6)	$\frac{\frac{4 t^{2} - 16}{8}}{\frac{t - 2}{6}}$
46594	Solve the Rational Equation for v	9/(v-3)-5/(v+1)=28/(v^2-2v-3)	$\frac{9}{v - 3} - \frac{5}{v + 1} = \frac{28}{v^{2} - 2 v - 3}$
46595	Evaluate	243/5-486/3+243	$\frac{243}{5} - \frac{486}{3} + 243$
46596	Find the Exact Value	csc(pi/2)^2	$\csc^{2} (\frac{π}{2})$
46597	Calculate the Square Root	cube root of 27	cube root of $27$
46598	Simplify	( fifth root of r^6)/( cube root of r^2)	$\frac{\sqrt[5]{r^{6}}}{\sqrt[3]{r^{2}}}$
46599	Find a,b,c	((x-2)^2)/9-((y-1)^2)/4=1	$\frac{{(x - 2)}^{2}}{9} - \frac{{(y - 1)}^{2}}{4} = 1$
46600	Evaluate the Summation	3 sum from m=1 to 4 of -1-m^2	$3 \sum_{m = 1}^{4} - 1 - m^{2}$