Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
34801	Simplify	Simplify the expression (2x-6)/(x-3)	Simplify the expression $\frac{2 x - 6}{x - 3}$
34802	Find the Antiderivative	f(x)=x square root of x+1	$f (x) = x \sqrt{x + 1}$
34803	Evaluate the Limit	limit as z approaches 1 of (z-1)/( square root of 2-z-1)	$lim_{z \to 1} \frac{z - 1}{\sqrt{2 - z} - 1}$
34804	Solve for x	x*(2-4)=y	$x \cdot (2 - 4) = y$
34805	Simplify	1/(2x square root of y)	$\frac{1}{2 x \sqrt{y}}$
34806	Solve for x	(17+x)/x+(32+x)/x=100	$\frac{17 + x}{x} + \frac{32 + x}{x} = 100$
34807	Simplify	8/(4^-2)	$\frac{8}{4^{- 2}}$
34808	Find the Degree, Leading Term, and Leading Coefficient	f(x)=x^4-4x^2	$f (x) = x^{4} - 4 x^{2}$
34809	Evaluate	5^(3x)55^(x+1)=5^(2x+3)	$5^{3 x} \cdot 5 \cdot 5^{x + 1} = 5^{2 x + 3}$
34810	Simplify	(5-7i)÷(2-5i)	$(5 - 7 i) \div (2 - 5 i)$
34811	Solve the Inequality for x	(2x-5)/(4x+10)<=0	$\frac{2 x - 5}{4 x + 10} \leq 0$
34812	Multiply	(2y^3+5)(y^3+6y)	$(2 y^{3} + 5) (y^{3} + 6 y)$
34813	Add	6c^2-2c-1-4c^2+7c+5	$6 c^{2} - 2 c - 1 - 4 c^{2} + 7 c + 5$
34814	Multiply	(-6qr)(9q^2+4qr^2-7)	$(- 6 q r) (9 q^{2} + 4 q r^{2} - 7)$
34815	Solve the Inequality for x	3x^3-9x^2>30x	$3 x^{3} - 9 x^{2} > 30 x$
34816	Factor	a^3(x-2y)-ax^2(x-2y)	$a^{3} (x - 2 y) - a x^{2} (x - 2 y)$
34817	Solve for a	4-3/5(3a+4)=7	$4 - \frac{3}{5} (3 a + 4) = 7$
34818	Simplify the Radical Expression	(64x^-21y^9)^(1/3)	${(64 x^{- 21} y^{9})}^{\frac{1}{3}}$
34819	Factor by Grouping	48x^3-243xy^2	$48 x^{3} - 243 x y^{2}$
34820	Find the LCD	3/6+3/8	$\frac{3}{6} + \frac{3}{8}$
34821	Solve for x	(6^x)/36=216	$\frac{6^{x}}{36} = 216$
34822	Solve the Function Operation	((13 1/4-2 5/27-10 5/6)*230,4+46,75)/(0,1)	$\frac{(13 \frac{1}{4} - 2 \frac{5}{27} - 10 \frac{5}{6}) \cdot 230, 4 + 46, 75}{0, 1}$
34823	Simplify	((x^2y)(x^4y^3))/(xy^2)	$\frac{(x^{2} y) (x^{4} y^{3})}{x y^{2}}$
34824	Simplify the Radical Expression	( square root of 16)/( cube root of 2)	$\frac{\sqrt{16}}{\sqrt[3]{2}}$
34825	Simplify	((-5m)^4)/((-25m^2)^2)	$\frac{{(- 5 m)}^{4}}{{(- 25 m^{2})}^{2}}$
34826	Simplify	1/3v+4 5/6v+3	$\frac{1}{3} v + 4 \frac{5}{6} v + 3$
34827	Find the Slope	(-4,-2) and (-3,5)	$(- 4, - 2)$ and $(- 3, 5)$
34828	Simplify	((n^2-9n-10)/(n+1))÷((n+3)/(n+10))	$\frac{n^{2} - 9 n - 10}{n + 1} \div \frac{n + 3}{n + 10}$
34829	Solve the System of Equations	4x+y=-10 and 9x+y=-15	$4 x + y = - 10$ and $9 x + y = - 15$
34830	Simplify	(e^(-x/2))^2	${(e^{- \frac{x}{2}})}^{2}$
34831	Solve for b	5+5b-3=2+5b	$5 + 5 b - 3 = 2 + 5 b$
34832	Solve for v	500v=10015	$500 \cdot v = 100 \cdot 15$
34833	Multiply	(-2x^2+x-2)(x^2-5x+4)	$(- 2 x^{2} + x - 2) (x^{2} - 5 x + 4)$
34834	Solve the Rational Equation for x	square root of 3x-17+2=7	$\sqrt{3 x - 17} + 2 = 7$
34835	Find the Slope	(-1,7) and (3,107)	$(- 1, 7)$ and $(3, 107)$
34836	Determine if Dependent, Independent, or Inconsistent	2x=y+3 y=-2x+1	$2 x = y + 3$ $y = - 2 x + 1$
34837	Solve the Inequality for x	-16>6-2x	$- 16 > 6 - 2 x$
34838	Evaluate the Integral	integral of (5sec(x)tan(x)-3/2csc(x)^2+9) with respect to x	$\int (5 \sec (x) \tan (x) - \frac{3}{2} \csc^{2} (x) + 9) d x$
34839	Simplify	square root of (11y^2)^4	$\sqrt{{(11 y^{2})}^{4}}$
34840	Simplify	(3+5i)+(-8+4i)+(-8+4i)	$(3 + 5 i) + (- 8 + 4 i) + (- 8 + 4 i)$
34841	Evaluate the Integral	integral from 7 to e^3 of 1/x with respect to x	$\int_{7}^{e^{3}} \frac{1}{x} d x$
34842	Evaluate	((-54x^9)/(y^4))^(2/3)	${(\frac{- 54 x^{9}}{y^{4}})}^{\frac{2}{3}}$
34843	Simplify	64^(1/2)*10^-2	$64^{\frac{1}{2}} \cdot 10^{- 2}$
34844	Graph	(3x)^(-)*3	${(3 x)}^{-} \cdot 3$
34845	Find the x and y Intercepts	f(x)=-2(x+4/5)^2-8	$f (x) = - 2 {(x + \frac{4}{5})}^{2} - 8$
34846	Evaluate	(x/11)^-2	${(\frac{x}{11})}^{- 2}$
34847	Evaluate the Integral	integral of (20x)/( cube root of 7-3x^2) with respect to x	$\int \frac{20 x}{\sqrt[3]{7 - 3 x^{2}}} d x$
34848	Solve for x	2(5)^x>10	$2 {(5)}^{x} > 10$
34849	Simplify	fifth root of (32x^6)/(y^11)	$\sqrt[5]{\frac{32 x^{6}}{y^{11}}}$
34850	Multiply	(x-6)/(5x)*(x^2-49)/(x^2+x-42)	$\frac{x - 6}{5 x} \cdot \frac{x^{2} - 49}{x^{2} + x - 42}$
34851	Divide Using Long Polynomial Division	(2x^4-3x^3-20x^2+72x-63)÷(2x-3)	$(2 x^{4} - 3 x^{3} - 20 x^{2} + 72 x - 63) \div (2 x - 3)$
34852	Simplify	(x^2+10x+16)/(x^2-x)*(x^2+5x-6)/(x^2+7x+10)	$\frac{x^{2} + 10 x + 16}{x^{2} - x} \cdot \frac{x^{2} + 5 x - 6}{x^{2} + 7 x + 10}$
34853	Simplify	4 square root of -49/64	$4 \sqrt{- \frac{49}{64}}$
34854	Simplify	2^(3^2)	$2^{3^{2}}$
34855	Solve the Inequality for x	x/(a^2-b^2)+(3x)/(a-b)<5/(a+b)	$\frac{x}{a^{2} - b^{2}} + \frac{3 x}{a - b} < \frac{5}{a + b}$
34856	Evaluate the Limit	limit as n approaches -5 of (2/(n+3)-3/(n+2))/(n+5)	$lim_{n \to - 5} \frac{\frac{2}{n + 3} - \frac{3}{n + 2}}{n + 5}$
34857	Simplify	6x-4x^2-x-7+5x^2	$6 x - 4 x^{2} - x - 7 + 5 x^{2}$
34858	Find the Vertex	f(x)=-2(x+4/5)^2-8	$f (x) = - 2 {(x + \frac{4}{5})}^{2} - 8$
34859	Find the Domain and Range	y=cos(pi/4)	$y = \cos (\frac{π}{4})$
34860	Factor by Grouping	2x^3+10x^2+12x	$2 x^{3} + 10 x^{2} + 12 x$
34861	Solve for x	3b(2x-a^2)=2h-7gx	$3 b (2 x - a^{2}) = 2 h - 7 g x$
34862	Simplify	(8 square root of 24)/(16 square root of 6)	$\frac{8 \sqrt{24}}{16 \sqrt{6}}$
34863	Find Where Increasing/Decreasing	y=2*(1/3)^x	$y = 2 \cdot {(\frac{1}{3})}^{x}$
34864	Solve for x	log of x+1+ log of x-3 = log of 6x^2-6	$\log (x + 1) + \log (x - 3) = \log (6 x^{2} - 6)$
34865	Evaluate	-2(5-4(3^2-2^2))	$- 2 (5 - 4 (3^{2} - 2^{2}))$
34866	Evaluate	(83)÷(15-(24)+1)	$(8 \cdot 3) \div (15 - (2 \cdot 4) + 1)$
34867	Solve the Inequality for x	square root of x-2-1<=0	$\sqrt{x - 2} - 1 \leq 0$
34868	Simplify	(x+2)/((x^2+2x-3)/((x+2)/(x^2-x)))	$\frac{x + 2}{\frac{x^{2} + 2 x - 3}{\frac{x + 2}{x^{2} - x}}}$
34869	Simplify	((m-6)/(m-2))÷((m-5)/(m^2+m-6))	$\frac{m - 6}{m - 2} \div \frac{m - 5}{m^{2} + m - 6}$
34870	Solve for v	(v+5)(-1/9)=6	$(v + 5) (- \frac{1}{9}) = 6$
34871	Solve for x	4/n-5/(x+n)=0	$\frac{4}{n} - \frac{5}{x + n} = 0$
34872	Solve for x	12/5x-2x=3/10	$\frac{12}{5} x - 2 x = \frac{3}{10}$
34873	Solve the Inequality for x	-x^2+50>-3x+10	$- x^{2} + 50 > - 3 x + 10$
34874	Find the Roots (Zeros)	2c^4-6c^3=12c^2-36c	$2 c^{4} - 6 c^{3} = 12 c^{2} - 36 c$
34875	Simplify	(3 square root of 7a^2b)(5a square root of 7b)	$(3 \sqrt{7 a^{2} b}) (5 a \sqrt{7 b})$
34876	Evaluate	square root of 11*2-6+5(4^2-9)	$\sqrt{11 \cdot 2 - 6} + 5 (4^{2} - 9)$
34877	Solve the Inequality for d	5d+2(d-3)>36	$5 d + 2 (d - 3) > 36$
34878	Find the Domain and Range	(2x^2)/(x^2-1)	$\frac{2 x^{2}}{x^{2} - 1}$
34879	Evaluate	12t-2<-5t+36	$12 t - 2 < - 5 t + 36$
34880	Evaluate	1/( cube root of 9.9*10^14)	$\frac{1}{\sqrt[3]{9.9 \cdot 10^{14}}}$
34881	Evaluate	-2(3)^-1	$- 2 {(3)}^{- 1}$
34882	Simplify	((3x^(1/2))/15)^2	${(\frac{3 x^{\frac{1}{2}}}{15})}^{2}$
34883	Simplify	1/(7x^3)*(x^2)/2	$\frac{1}{7 x^{3}} \cdot \frac{x^{2}}{2}$
34884	Solve the Inequality for x	x+1<-2x+11<3x+5	$x + 1 < - 2 x + 11 < 3 x + 5$
34885	Solve for x	square root of 7+ square root of 2x=3	$\sqrt{7 + \sqrt{2 x}} = 3$
34886	Find the Maximum/Minimum Value	y=1-3cos(3(x-pi/3))	$y = 1 - 3 \cos (3 (x - \frac{π}{3}))$
34887	Find the Magnitude	(-3,4)	$(- 3, 4)$
34888	Find dy/dx	y=e^(x^2-1)	$y = e^{x^{2} - 1}$
34889	Find the Vertices	4x^2+y^2-36=0	$4 x^{2} + y^{2} - 36 = 0$
34890	Solve the System of Equations	2x-y=4 (x+3)^2+y^2=8	$2 x - y = 4$ ${(x + 3)}^{2} + y^{2} = 8$
34891	Simplify	1/3x+1/4+2/3x	$\frac{1}{3} x + \frac{1}{4} + \frac{2}{3} x$
34892	Expand Using Sum/Difference Formulas	log base x of 3m(4n)	$\log_{x} (3 m) (4 n)$
34893	Graph	6x-x^3-x^5	$6 x - x^{3} - x^{5}$
34894	Simplify	4xy-2x+4x-8xy	$4 x y - 2 x + 4 x - 8 x y$
34895	Simplify the Radical Expression	4/( cube root of 4)	$\frac{4}{\sqrt[3]{4}}$
34896	Solve the Inequality for x	square root of x+5+4<=13	$\sqrt{x + 5} + 4 \leq 13$
34897	Solve for θ	100cos(theta)=w(5/13)	$100 \cos (θ) = w (\frac{5}{13})$
34898	Solve the Function Operation	f(x)=(( seventh root of x)/7)^3 ; find f^-1(x)	$f (x) = {(\frac{\sqrt[7]{x}}{7})}^{3}$ ; find $f^{- 1} (x)$
34899	Simplify the Radical Expression	cube root of (x^9)/27	$\sqrt[3]{\frac{x^{9}}{27}}$
34900	Write in Standard Form	(9f+6)-(3f-2)	$(9 f + 6) - (3 f - 2)$