Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
24101	Simplify	2/(4p-20)+(p-6)/(p^2-8p+15)	$\frac{2}{4 p - 20} + \frac{p - 6}{p^{2} - 8 p + 15}$
24102	Evaluate Using the Given Value	x^2-2x+3 when x=-3	$x^{2} - 2 x + 3$ when $x = - 3$
24103	Evaluate the Limit	limit as x approaches infinity of 10-2/(x^2)	$lim_{x \to \infty} 10 - \frac{2}{x^{2}}$
24104	Find the Derivative - d/da	a=1/2bh	$a = \frac{1}{2} b h$
24105	Simplify	(2y)(4y^3)+(3y^2)(5y^2)	$(2 y) (4 y^{3}) + (3 y^{2}) (5 y^{2})$
24106	Simplify	(20x^2y)/(4x)	$\frac{20 x^{2} y}{4 x}$
24107	Solve for θ	theta=(1pi)/4	$θ = \frac{1 π}{4}$
24108	Solve for θ	90 degrees <theta<180 degrees	$90 ° < θ < 180 °$
24109	Simplify	(4-x^2)/(3- square root of x^2+5)	$\frac{4 - x^{2}}{3 - \sqrt{x^{2} + 5}}$
24110	Find the Degree	2xy^2-5y^5	$2 x y^{2} - 5 y^{5}$
24111	Solve the System of Equations	3x-4y+6z=-27 x+5y-2z=18 5x+y-3z=-8	$3 x - 4 y + 6 z = - 27$ $x + 5 y - 2 z = 18$ $5 x + y - 3 z = - 8$
24112	Simplify	(5^-2*4^-4)^-2	${(5^{- 2} \cdot 4^{- 4})}^{- 2}$
24113	Simplify	10/( square root of 96)	$\frac{10}{\sqrt{96}}$
24114	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-8,5) and has a slope of -1/4 ?	What is the equation of the line that passes through the point $(- 8, 5)$ and has a slope of $- \frac{1}{4}$ ?
24115	Solve for x	49/14=(9x+1)/(x+5)	$\frac{49}{14} = \frac{9 x + 1}{x + 5}$
24116	Find the Exact Value	-1/2(-5/6+1/3)	$- \frac{1}{2} (- \frac{5}{6} + \frac{1}{3})$
24117	Find the Asymptotes	(3x^2)/(4x^2-1)	$\frac{3 x^{2}}{4 x^{2} - 1}$
24118	Solve the System of Equations	x-y=1 x-y=6	$x - y = 1$ $x - y = 6$
24119	Evaluate the Integral	integral of x^2(2x+5)^2 with respect to x	$\int x^{2} {(2 x + 5)}^{2} d x$
24120	Simplify	square root of 4x* fourth root of 81x^2	$\sqrt{4 x} \cdot \sqrt[4]{81 x^{2}}$
24121	Simplify	4+6x-4	$4 + 6 x - 4$
24122	Find the Domain and Range	g(x)=3,x<=2; x/2+3,x>2	$g (x) = {\begin{cases} 3, x \leq 2 \\ \frac{x}{2} + 3, x > 2 \end{cases}$
24123	Find the Inverse	f(x)=(10-x)/(2x)	$f (x) = \frac{10 - x}{2 x}$
24124	Solve for x	\|x-3/2\|=9	$\| x - \frac{3}{2} \| = 9$
24125	Find the Geometric Mean	4 and 25	$4$ and $25$
24126	Find the Exact Value	(- square root of 3)/2	$\frac{- \sqrt{3}}{2}$
24127	Solve for x	(3x)/(x^2-10x-11)-7/(x-11)=1/(x+1)	$\frac{3 x}{x^{2} - 10 x - 11} - \frac{7}{x - 11} = \frac{1}{x + 1}$
24128	Simplify	1/y-1/(x^2y^2)	$\frac{1}{y} - \frac{1}{x^{2} y^{2}}$
24129	Solve the Inequality for x	4x<2x+1<=3x+2	$4 x < 2 x + 1 \leq 3 x + 2$
24130	Graph	-8x+6y<3x-30	$- 8 x + 6 y < 3 x - 30$
24131	Simplify	1/15+1/(3x^3)	$\frac{1}{15} + \frac{1}{3 x^{3}}$
24132	Evaluate the Limit	limit as x approaches 1 of ((-6x+1)/8)^3	$lim_{x \to 1} {(\frac{- 6 x + 1}{8})}^{3}$
24133	Solve the Inequality for y	-5/y<0	$- \frac{5}{y} < 0$
24134	Simplify	5/(3x)-3	$\frac{5}{3 x} - 3$
24135	Simplify	(x-y)(x+y)(x^2-y^2)	$(x - y) (x + y) (x^{2} - y^{2})$
24136	Solve the Rational Equation for x	(3x)/(x+5)+1/(x-2)=7/(x^2+3x-10)	$\frac{3 x}{x + 5} + \frac{1}{x - 2} = \frac{7}{x^{2} + 3 x - 10}$
24137	Write in Standard Form	-5=6y+x	$- 5 = 6 y + x$
24138	Simplify	(a^2)/(4/5-4/a)	$\frac{a^{2}}{\frac{4}{5} - \frac{4}{a}}$
24139	Evaluate the Limit	limit as x approaches negative infinity of (7x^3-4x+2x^6)/(5x^3-3x^2)	$lim_{x \to - \infty} \frac{7 x^{3} - 4 x + 2 x^{6}}{5 x^{3} - 3 x^{2}}$
24140	Solve the Inequality for n	(n+3)/2>-2	$\frac{n + 3}{2} > - 2$
24141	Subtract	(-3f-4g+9)-(2-6f+5g)	$(- 3 f - 4 g + 9) - (2 - 6 f + 5 g)$
24142	Factor by Grouping	mx+my+6x+6y	$m x + m y + 6 x + 6 y$
24143	Find the Derivative - d/dx	y = cube root of x(2x-x^2)	$y = \sqrt[3]{x} (2 x - x^{2})$
24144	Solve the Inequality for x	2<=4(x+1)+3x+6	$2 \leq 4 (x + 1) + 3 x + 6$
24145	Simplify	((1+i/2)^2)/((1+i/2)-1)	$\frac{{(1 + \frac{i}{2})}^{2}}{(1 + \frac{i}{2}) - 1}$
24146	Add	(t-8)-(t+15)	$(t - 8) - (t + 15)$
24147	Simplify the Radical Expression	(3125x^5)^(1/5)	${(3125 x^{5})}^{\frac{1}{5}}$
24148	Find the Domain	((x^4+x^3-30x^2)/(x^2-3x-18))÷((x^3+x^2-30x)/(x^2-36))	$\frac{x^{4} + x^{3} - 30 x^{2}}{x^{2} - 3 x - 18} \div \frac{x^{3} + x^{2} - 30 x}{x^{2} - 36}$
24149	Solve the Inequality for x	(3-x)(x+6)>=0	$(3 - x) (x + 6) \geq 0$
24150	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-5,-6) and has a slope of 3/5 ?	What is the equation of the line that passes through the point $(- 5, - 6)$ and has a slope of $\frac{3}{5}$ ?
24151	Simplify	(1/4+5/4)/4	$\frac{\frac{1}{4} + \frac{5}{4}}{4}$
24152	Solve for x	10=2^x-22	$10 = 2^{x} - 22$
24153	Simplify	cube root of 24- square root of 80+4 square root of 125- cube root of 81	$\sqrt[3]{24} - \sqrt{80} + 4 \sqrt{125} - \sqrt[3]{81}$
24154	Evaluate	csc(theta)=(2 square root of 3)/3	$\csc (θ) = \frac{2 \sqrt{3}}{3}$
24155	Simplify	(2u^2+u)/(2u-9)-45/(2u-9)	$\frac{2 u^{2} + u}{2 u - 9} - \frac{45}{2 u - 9}$
24156	Solve the Inequality for x	3x+2(x-8)>x	$3 x + 2 (x - 8) > x$
24157	Evaluate	2a^(-5/2)	$2 a^{- \frac{5}{2}}$
24158	Solve for θ in Degrees	csc(theta)=-(2 square root of 3)/3	$\csc (θ) = - \frac{2 \sqrt{3}}{3}$
24159	Find the Antiderivative	f(x)=3/( cube root of x+3)	$f (x) = \frac{3}{\sqrt[3]{x + 3}}$
24160	Factor	5xy-2x^2y+2xy	$5 x y - 2 x^{2} y + 2 x y$
24161	Find the Degree, Leading Term, and Leading Coefficient	x/8+1	$\frac{x}{8} + 1$
24162	Simplify the Radical Expression	fifth root of 5* fifth root of 5^2	$\sqrt[5]{5} \cdot \sqrt[5]{5^{2}}$
24163	Solve for s	s=8 square root of 40	$s = 8 \sqrt{40}$
24164	Solve the System of Inequalities	y>-1/2x-1 y>-x+3	$y > - \frac{1}{2} x - 1$ $y > - x + 3$
24165	Multiply	2pi3	$2 \cdot π \cdot 3$
24166	Solve the System of Equations	y=x^2-x+2 y=2x^2+x-6	$y = x^{2} - x + 2$ $y = 2 x^{2} + x - 6$
24167	Simplify	(3(2-6))/-5	$\frac{3 (2 - 6)}{- 5}$
24168	Write with Rational (Fractional) Exponents	square root of 5^3* fifth root of 5^4	$\sqrt{5^{3}} \cdot \sqrt[5]{5^{4}}$
24169	Simplify	((6x^3-600x)/(x^2-18x+80)*(4x)/(x^3-64x))÷((x+10)/(x^3-64x))	$\frac{6 x^{3} - 600 x}{x^{2} - 18 x + 80} \cdot \frac{4 x}{x^{3} - 64 x} \div \frac{x + 10}{x^{3} - 64 x}$
24170	Solve the System of Equations	3x+y=12 and -x-4y=29	$3 x + y = 12$ and $- x - 4 y = 29$
24171	Find the Domain	( square root of -3x)/(x^2-1)	$\frac{\sqrt{- 3 x}}{x^{2} - 1}$
24172	Write in Standard Form	2(x-3)(x+5)=0	$2 (x - 3) (x + 5) = 0$
24173	Find the Maximum/Minimum Value	h(x)=x^4-3x^2+x	$h (x) = x^{4} - 3 x^{2} + x$
24174	Write the Fraction in Simplest Form	(5j^6)/((4q^5j^-3)^-2)	$\frac{5 j^{6}}{{(4 q^{5} j^{- 3})}^{- 2}}$
24175	Evaluate	30%de*240	$30 % d e \cdot 240$
24176	Solve for d	a=b-cd	$a = b - c d$
24177	Find the Antiderivative	2/( square root of x+3)-sin(2x)^2	$\frac{2}{\sqrt{x + 3}} - \sin^{2} (2 x)$
24178	Solve for y	3(-y+4)=-(-14+4y)	$3 (- y + 4) = - (- 14 + 4 y)$
24179	Determine if Linear	3x(x-4)=y	$3 x (x - 4) = y$
24180	Write the Fraction in Simplest Form	(5(t^-4x^-5)^-1)/(3t^4x^-1)	$\frac{5 {(t^{- 4} x^{- 5})}^{- 1}}{3 t^{4} x^{- 1}}$
24181	Combine	64 square root of 3-4 square root of 48-5 square root of 48	$64 \sqrt{3} - 4 \sqrt{48} - 5 \sqrt{48}$
24182	Find the Maximum/Minimum Value	f(x)=-x^5+4x^3-2x+2	$f (x) = - x^{5} + 4 x^{3} - 2 x + 2$
24183	Find the Derivative - d/dx	4 natural log of -2-x	$4 \ln (- 2 - x)$
24184	Simplify	(6x^2-7x+2)+(15x+5-4x^2)	$(6 x^{2} - 7 x + 2) + (15 x + 5 - 4 x^{2})$
24185	Write the Fraction in Simplest Form	((x+3)/(x^2-2x-3))÷((x^2+2x-3)/(x+1))	$\frac{x + 3}{x^{2} - 2 x - 3} \div \frac{x^{2} + 2 x - 3}{x + 1}$
24186	Simplify	(7/(2x))÷(7/(2x^3))	$\frac{7}{2 x} \div \frac{7}{2 x^{3}}$
24187	Simplify	(x^(3/5))^(-1/6)	${(x^{\frac{3}{5}})}^{- \frac{1}{6}}$
24188	Solve for v	2(3v-5)=2(v-11)-4	$2 (3 v - 5) = 2 (v - 11) - 4$
24189	Find the GCF	15x^3 , 25x^2 ; and 55x	$15 x^{3}$ , $25 x^{2}$ ; and $55 x$
24190	Find the Degree, Leading Term, and Leading Coefficient	f(x)=8x^2-9x	$f (x) = 8 x^{2} - 9 x$
24191	Solve the Inequality for x	(1/16)^(3x-4)<=64^(x-1)	${(\frac{1}{16})}^{3 x - 4} \leq 64^{x - 1}$
24192	Solve for x	30=5e^(4x-3)	$30 = 5 e^{4 x - 3}$
24193	Solve the System of Equations	-9x+5y=10 (36x)/5-4y=4	$- 9 x + 5 y = 10$ $\frac{36 x}{5} - 4 y = 4$
24194	Solve the Inequality for x	-2x^2+13x-20<0	$- 2 x^{2} + 13 x - 20 < 0$
24195	Find the Domain	y=(x^2)/(x^2-4)	$y = \frac{x^{2}}{x^{2} - 4}$
24196	Simplify	a-6a+3a	$a - 6 a + 3 a$
24197	Simplify	(m+1)/(3m-15)*(8m-80)/(m^2-9m-10)	$\frac{m + 1}{3 m - 15} \cdot \frac{8 m - 80}{m^{2} - 9 m - 10}$
24198	Evaluate	1+tan(pi/6)^2	$1 + \tan^{2} (\frac{π}{6})$
24199	Factor by Grouping	4x-4m+xy-my	$4 x - 4 m + x y - m y$
24200	Write in Standard Form	(x^2-12x+27)*(x-9)	$(x^{2} - 12 x + 27) \cdot (x - 9)$