Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
35001	Solve for x	2 log of square root of 3+ log of x-3=3	$2 \log (\sqrt{3}) + \log (x - 3) = 3$
35002	Find the Vertex	y=-1/2x(x-8)	$y = - \frac{1}{2} x (x - 8)$
35003	Write in Standard Form	5b^2+2n	$5 b^{2} + 2 n$
35004	Simplify	(-1/(x+4)-3/(x-3))/(1/(x+4)-4/(x-3))	$\frac{- \frac{1}{x + 4} - \frac{3}{x - 3}}{\frac{1}{x + 4} - \frac{4}{x - 3}}$
35005	Solve the Inequality for a	1+5/(a-1)<=7/6	$1 + \frac{5}{a - 1} \leq \frac{7}{6}$
35006	Find the Derivative - d/dw	S=( square root of hw)/60	$S = \frac{\sqrt{h w}}{60}$
35007	Solve the Rational Equation for w	( fourth root of 7w-5)/2 = fourth root of w-2	$\frac{\sqrt[4]{7 w - 5}}{2} = \sqrt[4]{w - 2}$
35008	Find the Slope	(-10,8) and (-15,-7)	$(- 10, 8)$ and $(- 15, - 7)$
35009	Simplify	(-5y^4-2)+(-5+7y^2+8y^4)+(2-9y^4)	$(- 5 y^{4} - 2) + (- 5 + 7 y^{2} + 8 y^{4}) + (2 - 9 y^{4})$
35010	Simplify	4/(25x^3)+1/5	$\frac{4}{25 x^{3}} + \frac{1}{5}$
35011	Solve by Substitution	5x=2y+50 2y+38=3x	$5 x = 2 y + 50$ $2 y + 38 = 3 x$
35012	Evaluate the Integral	integral of x^2 natural log of \|x\| with respect to x	$\int x^{2} \ln (\| x \|) d x$
35013	Solve for b	(a+1)b=a+1	$(a + 1) b = a + 1$
35014	Solve the Inequality for z	-2/3>z/5	$- \frac{2}{3} > \frac{z}{5}$
35015	Convert to Interval Notation	x<3 and x>-4	$x < 3$ and $x > - 4$
35016	Simplify	(1/2p^2q)^3(2pq^2)^4	${(\frac{1}{2} p^{2} q)}^{3} {(2 p q^{2})}^{4}$
35017	Solve for x	1/3(24x-54)=11(x-4)+5	$\frac{1}{3} (24 x - 54) = 11 (x - 4) + 5$
35018	Simplify	(x-4x^2+7)-(-5x^2+5x-3)	$(x - 4 x^{2} + 7) - (- 5 x^{2} + 5 x - 3)$
35019	Solve for a	2a+9b=-5+f	$2 a + 9 b = - 5 + f$
35020	Factor	2ax-by-ay+2bx	$2 a x - b y - a y + 2 b x$
35021	Find the Local Maxima and Minima	f(x)=3/4x^4+15x^3+75x^2-23	$f (x) = \frac{3}{4} x^{4} + 15 x^{3} + 75 x^{2} - 23$
35022	Solve by Substitution	y=-2x^2-4x-1 y=2x+4	$y = - 2 x^{2} - 4 x - 1$ $y = 2 x + 4$
35023	Graph	2\|x\|-6<=10	$2 \| x \| - 6 \leq 10$
35024	Evaluate	((2^2x^2)/(xy^3))^2	${(\frac{2^{2} x^{2}}{x y^{3}})}^{2}$
35025	Simplify	square root of (x^4y^4)/(z^3)	$\sqrt{\frac{x^{4} y^{4}}{z^{3}}}$
35026	Evaluate from the Right	limit as x approaches 2 of 2x+1	$lim_{x \to 2} 2 x + 1$
35027	Solve for t	2/5=30/(3t+9)	$\frac{2}{5} = \frac{30}{3 t + 9}$
35028	Write the Fraction in Simplest Form	((-4d^4)^2)/(-5d^-10)	$\frac{{(- 4 d^{4})}^{2}}{- 5 d^{- 10}}$
35029	Find the Domain and Range	f(x)=2sec(2(x-pi))	$f (x) = 2 \sec (2 (x - π))$
35030	Write with Rational (Fractional) Exponents	(n root of a)^n	${(\sqrt[n]{a})}^{n}$
35031	Multiply	9(5/6)	$9 (\frac{5}{6})$
35032	Simplify	6/(3x)+(x+5)/(x^3)+(1-2x^2)/(x^4)	$\frac{6}{3 x} + \frac{x + 5}{x^{3}} + \frac{1 - 2 x^{2}}{x^{4}}$
35033	Integrate Using u-Substitution	integral of (x^3)/(x+3) with respect to x	$\int \frac{x^{3}}{x + 3} d x$
35034	Simplify	(27a^-6b^4c^8)/(9a^2b^-2c^8)	$\frac{27 a^{- 6} b^{4} c^{8}}{9 a^{2} b^{- 2} c^{8}}$
35035	Find All Complex Solutions	square root of 9=9^(1/2)	$\sqrt{9} = 9^{\frac{1}{2}}$
35036	Solve the System of Equations	4x=-12y+16 and x+3y=4	$4 x = - 12 y + 16$ and $x + 3 y = 4$
35037	Find the Derivative - d/dx	e^x- square root of e	$e^{x} - \sqrt{e}$
35038	Find the GCF	15 and 35	$15$ and $35$
35039	Divide	(x^3+43-49x-7x^2)÷(x^2-49)	$(x^{3} + 43 - 49 x - 7 x^{2}) \div (x^{2} - 49)$
35040	Solve the Inequality for a	5(a-3)<=5a-6	$5 (a - 3) \leq 5 a - 6$
35041	Find the Derivative - d/dx	-sin(x)+cos(x)	$- \sin (x) + \cos (x)$
35042	Find the Maximum/Minimum Value	f(x) = square root of x+4-1	$f (x) = \sqrt{x + 4} - 1$
35043	Solve for m	7m+11-5m-2=2m-9	$7 m + 11 - 5 m - 2 = 2 m - 9$
35044	Simplify	2x(x^2-5)-4x(x^2-1)	$2 x (x^{2} - 5) - 4 x (x^{2} - 1)$
35045	Simplify the Radical Expression	1/( square root of 2^3)	$\frac{1}{\sqrt{2^{3}}}$
35046	Evaluate	(tan(pi/4))/2-1/(csc(pi/6))	$\frac{\tan (\frac{π}{4})}{2} - \frac{1}{\csc (\frac{π}{6})}$
35047	Factor	6c^3d-12c^2d^2+3cd	$6 c^{3} d - 12 c^{2} d^{2} + 3 c d$
35048	Expand Using the Binomial Theorem	(3x^5-1/9y^3)^4	${(3 x^{5} - \frac{1}{9} y^{3})}^{4}$
35049	Evaluate	(cos(x))/(1+sin(x))+(1+sin(x))/(cos(x))	$\frac{\cos (x)}{1 + \sin (x)} + \frac{1 + \sin (x)}{\cos (x)}$
35050	Solve for x	-1x+10=5	$- 1 x + 10 = 5$
35051	Solve for x	log base 125 of x<1/3	$\log_{125} (x) < \frac{1}{3}$
35052	Find the Maximum/Minimum Value	5x-3(x-1)^2	$5 x - 3 {(x - 1)}^{2}$
35053	Find the Derivative - d/dt	-3/t	$- \frac{3}{t}$
35054	Solve for x	2sin(2x)=3cos(2x)	$2 \sin (2 x) = 3 \cos (2 x)$
35055	Evaluate	8x+4(4x-3)=4(6x+4)-4	$8 x + 4 (4 x - 3) = 4 (6 x + 4) - 4$
35056	Factor	x^2+8xz+x+8z	$x^{2} + 8 x z + x + 8 z$
35057	Solve by Factoring	x^2=-1	$x^{2} = - 1$
35058	Evaluate	natural log of e+e	$\ln (e + e)$
35059	Solve for x	7x=x-6(-3/2x+1/6)-1	$7 x = x - 6 (- \frac{3}{2} x + \frac{1}{6}) - 1$
35060	Evaluate	2^4=x	$2^{4} = x$
35061	Find the Slope	(2,7) and (5,8)	$(2, 7)$ and $(5, 8)$
35062	Evaluate	2/3 log base 2 of 128	$\frac{2}{3} \log_{2} (128)$
35063	Find the Product	-6(2/3p^8)^3	$- 6 {(\frac{2}{3} p^{8})}^{3}$
35064	Simplify	2(cos(pi/3)+isin(pi/3))*5(cos((2pi)/3)+isin((2pi)/3))	$2 (\cos (\frac{π}{3}) + i \sin (\frac{π}{3})) \cdot 5 (\cos (\frac{2 π}{3}) + i \sin (\frac{2 π}{3}))$
35065	Solve the Absolute Value Inequality for x	7\|12x+3\|-1=62	$7 \| 12 x + 3 \| - 1 = 62$
35066	Evaluate	square root of -6* square root of -12* square root of -5	$\sqrt{- 6} \cdot \sqrt{- 12} \cdot \sqrt{- 5}$
35067	Multiply	4n^4*2n^-3	$4 n^{4} \cdot 2 n^{- 3}$
35068	Graph	f(x)=-5/2*3^(-(x+2))+5	$f (x) = - \frac{5}{2} \cdot 3^{- (x + 2)} + 5$
35069	Find the Domain	(2x^3+3x)/(x^3-x^2-6x)	$\frac{2 x^{3} + 3 x}{x^{3} - x^{2} - 6 x}$
35070	Simplify	2/(3/(x-1))	$\frac{2}{\frac{3}{x - 1}}$
35071	Evaluate the Integral	integral from 0 to pi/2 of 3cos(x)sin(sin(x)) with respect to x	$\int_{0}^{\frac{π}{2}} 3 \cos (x) \sin (\sin (x)) d x$
35072	Simplify the Radical Expression	square root of 144+ square root of -8+ square root of 100- square root of -2	$\sqrt{144} + \sqrt{- 8} + \sqrt{100} - \sqrt{- 2}$
35073	Solve the System of Equations	2x+y=9 and x+2y=9	$2 x + y = 9$ and $x + 2 y = 9$
35074	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (1,3) and has a slope of -3 ?	What is the equation of the line that passes through the point $(1, 3)$ and has a slope of $- 3$ ?
35075	Solve the System of Inequalities	y<2x y<2x-3	$y < 2 x$ $y < 2 x - 3$
35076	Simplify	((2m^3n^-5)/(m^9n^-3))^3((m^5n^3)/(m^-1n^-3))^6	${(\frac{2 m^{3} n^{- 5}}{m^{9} n^{- 3}})}^{3} {(\frac{m^{5} n^{3}}{m^{- 1} n^{- 3}})}^{6}$
35077	Write in Standard Form	0.9*10^-1	$0.9 \times 10^{- 1}$
35078	Solve for x	-5\|2-2x\|+8<=-42	$- 5 \| 2 - 2 x \| + 8 \leq - 42$
35079	Find the Derivative - d/dx	y=-1/2x^2	$y = - \frac{1}{2} x^{2}$
35080	Solve by Addition/Elimination	4x-3y=8 and 5x-2y=-11	$4 x - 3 y = 8$ and $5 x - 2 y = - 11$
35081	Simplify the Radical Expression	-6 square root of 100+ square root of 36	$- 6 \sqrt{100} + \sqrt{36}$
35082	Divide Using Synthetic Division	Use synthetic division to find the result when 3x^3-7x^2-17x-12 is divided by x-4	Use synthetic division to find the result when $3 x^{3} - 7 x^{2} - 17 x - 12$ is divided by $x - 4$
35083	Find the Antiderivative	(x+1)*e^x	$(x + 1) \cdot e^{x}$
35084	Simplify the Radical Expression	( square root of 3x^2y^3)/(4 square root of 5xy^3)	$\frac{\sqrt{3 x^{2} y^{3}}}{4 \sqrt{5 x y^{3}}}$
35085	Find the Derivative - d/dx	e^(xy)=y-x	$e^{x y} = y - x$
35086	Simplify	(2x^2-3x+2)+(x^2-4)	$(2 x^{2} - 3 x + 2) + (x^{2} - 4)$
35087	Find the Domain and Range	y=(x/2)^2	$y = {(\frac{x}{2})}^{2}$
35088	Graph Using a Table of Values	f(x)=3 square root of x+1	$f (x) = 3 \sqrt{x + 1}$
35089	Simplify	( square root of -4)/((3+i)-(2+3i))	$\frac{\sqrt{- 4}}{(3 + i) - (2 + 3 i)}$
35090	Divide	(-15/8)÷(3/14)	$- \frac{15}{8} \div \frac{3}{14}$
35091	Evaluate	(3pi)/2-(5pi)/6	$\frac{3 π}{2} - \frac{5 π}{6}$
35092	Identify the Sequence	1 , 3 , 9 ; dots	$1$ , $3$ , $9$ ; dots
35093	Find Amplitude, Period, and Phase Shift	f(x)=2*cos(8/3x)	$f (x) = 2 \cdot \cos (\frac{8}{3} x)$
35094	Solve the Inequality for t	-36<=3t	$- 36 \leq 3 t$
35095	Solve the Function Operation	If h(x)=x-7 and g(x)=x^2 ; which expression is equivalent to (goh)(5) ?	If $h (x) = x - 7$ and $g (x) = x^{2}$ ; which expression is equivalent to $((g \circ h)) (5)$ ?
35096	Solve the System of Equations	x^2+y^2=50 -2x+y=5	$x^{2} + y^{2} = 50$ $- 2 x + y = 5$
35097	Find All Complex Solutions	x^4=16/81	$x^{4} = \frac{16}{81}$
35098	Simplify	(16m^5n^-4)/(2n^-6)	$\frac{16 m^{5} n^{- 4}}{2 n^{- 6}}$
35099	Solve for b	c=(b^2)/25	$c = \frac{b^{2}}{25}$
35100	Find the Standard Deviation	{2,4,6,8,10,12}	${2, 4, 6, 8, 10, 12}$