Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
32501	Simplify	(5x)/(12y^3)+(x+2y)/(12y^3)	$\frac{5 x}{12 y^{3}} + \frac{x + 2 y}{12 y^{3}}$
32502	Evaluate	x(x-3)=54	$x (x - 3) = 54$
32503	Solve for C	2C-5=8C+7	$2 C - 5 = 8 C + 7$
32504	Solve for x	3x/2+3\|x-2\|<=3	$3 \frac{x}{2} + 3 \| x - 2 \| \leq 3$
32505	Add	-5 1/3+2 2/3	$- 5 \frac{1}{3} + 2 \frac{2}{3}$
32506	Evaluate	((3^2)^3*3^6)/(3^4)	$\frac{{(3^{2})}^{3} \cdot 3^{6}}{3^{4}}$
32507	Simplify	3^5*2^-6	$3^{5} \cdot 2^{- 6}$
32508	Solve the Absolute Value Inequality for x	\|x/7\|-8=-7	$\| \frac{x}{7} \| - 8 = - 7$
32509	Integrate Using u-Substitution	integral of tan(x)^2 with respect to x	$\int \tan^{2} (x) d x$
32510	Solve for θ in Radians	tan(theta)=2sin(theta)	$\tan (θ) = 2 \sin (θ)$
32511	Simplify	(5x^3-x+2x^2+4)+(3x^2+1-4x)	$(5 x^{3} - x + 2 x^{2} + 4) + (3 x^{2} + 1 - 4 x)$
32512	Simplify	5 square root of 2x*3 square root of 7x^2y^3	$5 \sqrt{2 x} \cdot 3 \sqrt{7 x^{2} y^{3}}$
32513	Solve for x	(1/9)^(2x+7)<=27^(6x-12)	${(\frac{1}{9})}^{2 x + 7} \leq 27^{6 x - 12}$
32514	Solve for x	x^2+0=0	$x^{2} + 0 = 0$
32515	Factor	(x-y)^2+4(x-y)+3	${(x - y)}^{2} + 4 (x - y) + 3$
32516	Graph	y=-1/2 square root of 6-x	$y = - \frac{1}{2} \sqrt{6 - x}$
32517	Find the Domain	f(x) = log base x of 5-x	$f (x) = \log_{x} (5 - x)$
32518	Write in Standard Form	(x-1)^2=6-(y+4)^2	${(x - 1)}^{2} = 6 - {(y + 4)}^{2}$
32519	Simplify	1/(a^2)*1/(a^3)	$\frac{1}{a^{2}} \cdot \frac{1}{a^{3}}$
32520	Factor	2i^3+6i^2-5i-15	$2 i^{3} + 6 i^{2} - 5 i - 15$
32521	Factor	k(x)=x^4-x^3-13x^2+25x-12	$k (x) = x^{4} - x^{3} - 13 x^{2} + 25 x - 12$
32522	Solve for x	\|3x\|<=12	$\| 3 x \| \leq 12$
32523	Evaluate the Function	f(-1)=(x+3)/2	$f (- 1) = \frac{x + 3}{2}$
32524	Solve by Factoring	-4x^5+14x^4+16x^3-56x^2=0	$- 4 x^{5} + 14 x^{4} + 16 x^{3} - 56 x^{2} = 0$
32525	Simplify	6(1/3)^x	$6 {(\frac{1}{3})}^{x}$
32526	Simplify the Radical Expression	2 fourth root of x^7	$2 \sqrt[4]{x^{7}}$
32527	Find the Domain and Range	y=3/2csc(pix)	$y = \frac{3}{2} \csc (π x)$
32528	Multiply	(3x+6)/(x^2-9)*(x-3)/(4x+8)	$\frac{3 x + 6}{x^{2} - 9} \cdot \frac{x - 3}{4 x + 8}$
32529	Evaluate the Limit	limit as t approaches 1 of ((t^2-1)/(t^2-3t-4))^1	$lim_{t \to 1} {(\frac{t^{2} - 1}{t^{2} - 3 t - 4})}^{1}$
32530	Rationalize the Denominator	( square root of 3- square root of 5)/(3 square root of 3+ square root of 5)	$\frac{\sqrt{3} - \sqrt{5}}{3 \sqrt{3} + \sqrt{5}}$
32531	Simplify the Radical Expression	(a^-1+b^-1)(a^-2b^-2)	$(a^{- 1} + b^{- 1}) (a^{- 2} b^{- 2})$
32532	Find Amplitude, Period, and Phase Shift	y=sin((4x)/3-(5pi)/3)	$y = \sin (\frac{4 x}{3} - \frac{5 π}{3})$
32533	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (6,6) and has a slope of 5/3 ?	What is the equation of the line that passes through the point $(6, 6)$ and has a slope of $\frac{5}{3}$ ?
32534	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-6,6) and has a slope of -5/3 ?	What is the equation of the line that passes through the point $(- 6, 6)$ and has a slope of $- \frac{5}{3}$ ?
32535	Subtract	-4 1/2--3/4	$- 4 \frac{1}{2} - - \frac{3}{4}$
32536	Solve the System of Inequalities	y<=-2/3x+2 y<4/3x-4	$y \leq - \frac{2}{3} x + 2$ $y < \frac{4}{3} x - 4$
32537	Factor	x^6+7x^3-8=0	$x^{6} + 7 x^{3} - 8 = 0$
32538	Find the Antiderivative	3/(2x-5)-4	$\frac{3}{2 x - 5} - 4$
32539	Solve the Absolute Value Inequality for y	23=\|-3y+2\|	$23 = \| - 3 y + 2 \|$
32540	Graph	y+5x=x^2	$y + 5 x = x^{2}$
32541	Simplify	h(3k-12.4)	$h (3 k - 12.4)$
32542	Evaluate	3/(-2^2)	$\frac{3}{- 2^{2}}$
32543	Find the Secant Given the Point	( square root of 7,3)	$(\sqrt{7}, 3)$
32544	Solve for x	4^(5x)=1/16	$4^{5 x} = \frac{1}{16}$
32545	Find the Antiderivative	4-3(1+x^2)^-1	$4 - 3 {(1 + x^{2})}^{- 1}$
32546	Solve the Function Operation	Given that f(x)=x^2-10x+16 and g(x)=x-8 ; find (f-g)(x) and express the result in standard form.	Given that $f (x) = x^{2} - 10 x + 16$ and $g (x) = x - 8$ ; find $(f - g) (x)$ and express the result in standard form.
32547	Simplify	(x^3y^2)/(xy^2)	$\frac{x^{3} y^{2}}{x y^{2}}$
32548	Simplify	-a^2b^2c^2(a+b-c)	$- a^{2} b^{2} c^{2} (a + b - c)$
32549	Multiply	(x^3+8x^2)/(x^2+x-56)*(x^2-11x+28)/(4x)	$\frac{x^{3} + 8 x^{2}}{x^{2} + x - 56} \cdot \frac{x^{2} - 11 x + 28}{4 x}$
32550	Write in Standard Form	x^2+2x+y^2=55x+10y	$x^{2} + 2 x + y^{2} = 55 x + 10 y$
32551	Solve the Inequality for m	-4\|-6m\|<-24	$- 4 \| - 6 m \| < - 24$
32552	Write in Standard Form	y^2+2x+x=24y-120	$y^{2} + 2 x + x = 24 y - 120$
32553	Simplify	(5x^3+2x-1+4x^2)+(6-5x+x^3)-(2x^2+5)	$(5 x^{3} + 2 x - 1 + 4 x^{2}) + (6 - 5 x + x^{3}) - (2 x^{2} + 5)$
32554	Simplify	(3x^3*2y^3)^3	${(3 x^{3} \cdot 2 y^{3})}^{3}$
32555	Write in Standard Form	k(k-9)	$k (k - 9)$
32556	Find the Domain and Range	f(x)=arccot(x)	$f (x) = arccot (x)$
32557	Find the Derivative - d/dx	ke^(-2x)-2x^(k^2)	$k e^{- 2 x} - 2 x^{k^{2}}$
32558	Divide	(8%)÷4	$8 % \div 4$
32559	Solve the System of Inequalities	2x+5y>-6 -4x+3y<=2	$2 x + 5 y > - 6$ $- 4 x + 3 y \leq 2$
32560	Simplify	a^2-2a+5a^3+1-10a	$a^{2} - 2 a + 5 a^{3} + 1 - 10 a$
32561	Solve the System of Inequalities	w+3<=0 or w+7>=9	$w + 3 \leq 0$ or $w + 7 \geq 9$
32562	Simplify	(3 square root of 2+ square root of 6)/( square root of 12)	$\frac{3 \sqrt{2} + \sqrt{6}}{\sqrt{12}}$
32563	Evaluate Using L'Hospital's Rule	limit as x approaches 1 of (3e^(x-1)-3)/(3cos(x-1)-3x^3)	$lim_{x \to 1} \frac{3 e^{x - 1} - 3}{3 \cos (x - 1) - 3 x^{3}}$
32564	Evaluate the Limit	limit as x approaches 0 of (-e^(2x))/((2-e^(2x))^2)	$lim_{x \to 0} \frac{- e^{2 x}}{{(2 - e^{2 x})}^{2}}$ ?
32565	Simplify	(1-x/2)^2	${(1 - \frac{x}{2})}^{2}$
32566	Divide	(((x^2-5x+6)^-1)/((x-2)^-2))÷(((x-3)^-1)/((x-2)^-2))	$\frac{{(x^{2} - 5 x + 6)}^{- 1}}{{(x - 2)}^{- 2}} \div \frac{{(x - 3)}^{- 1}}{{(x - 2)}^{- 2}}$
32567	Find the Cotangent Given the Point	(1/( square root of 2),-1/( square root of 2))	$(\frac{1}{\sqrt{2}}, - \frac{1}{\sqrt{2}})$
32568	Multiply	(x^2-5x)/(x^2-3x)*(x+3)/(x-5)	$\frac{x^{2} - 5 x}{x^{2} - 3 x} \cdot \frac{x + 3}{x - 5}$
32569	Subtract	(4x^4+4)/(x^2+1)-8/(x^2+1)	$\frac{4 x^{4} + 4}{x^{2} + 1} - \frac{8}{x^{2} + 1}$
32570	Simplify	xy(x+y)	$x y (x + y)$
32571	Simplify	(x^2+x)/(2x)	$\frac{x^{2} + x}{2 x}$
32572	Evaluate	22-3\|-3(2+1)+4\|	$22 - 3 \| - 3 (2 + 1) + 4 \|$
32573	Solve the Inequality for x	-1<=2x+4-5	$- 1 \leq 2 x + 4 - 5$
32574	Simplify	(2a^2b^2+3ab^2-5a^2b)-(3a^2b^2-9a^2b+7ab^2)	$(2 a^{2} b^{2} + 3 a b^{2} - 5 a^{2} b) - (3 a^{2} b^{2} - 9 a^{2} b + 7 a b^{2})$
32575	Find dx/dy	y^3-xy^2+x^3=5	$y^{3} - x y^{2} + x^{3} = 5$
32576	Graph	x-\|x\|	$x - \| x \|$
32577	Graph	p(x):\|3-x\|-\|x+2\|=5	$p (x) : \| 3 - x \| - \| x + 2 \| = 5$
32578	Determine if Continuous	f(x)=x^2+ square root of 7-x	$f (x) = x^{2} + \sqrt{7 - x}$
32579	Multiply	(7- square root of 8)(7+ square root of 8)	$(7 - \sqrt{8}) (7 + \sqrt{8})$
32580	Graph	f(x)=-(4/3)^(2(x-3))+1	$f (x) = - {(\frac{4}{3})}^{2 (x - 3)} + 1$
32581	Find the Derivative - d/dx	4x^-2+1/4x^2+4	$4 x^{- 2} + \frac{1}{4} x^{2} + 4$
32582	Divide	(32 cube root of 18y)÷8 cube root of 3y	$32 \sqrt[3]{18 y} \div 8 \sqrt[3]{3 y}$
32583	Find the Degree, Leading Term, and Leading Coefficient	p(x)=(x+2)(2x-3)(4x+7)	$p (x) = (x + 2) (2 x - 3) (4 x + 7)$
32584	Subtract	(2x-2y+1)-(3y+4x)	$(2 x - 2 y + 1) - (3 y + 4 x)$
32585	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-3,0) and has a slope of -1/3 ?	What is the equation of the line that passes through the point $(- 3, 0)$ and has a slope of $- \frac{1}{3}$ ?
32586	Simplify	(7^35^6)/(75^2)	$\frac{7^{3} \cdot 5^{6}}{7 \cdot 5^{2}}$
32587	Evaluate	(6x-9)/3	$\frac{6 x - 9}{3}$
32588	Simplify	(-9x^2y^2+5x^2y-11xy+1)+(4xy-13x^2y+7)	$(- 9 x^{2} y^{2} + 5 x^{2} y - 11 x y + 1) + (4 x y - 13 x^{2} y + 7)$
32589	Identify the Zeros and Their Multiplicities	f(x)=2x^5-13x^4+22x^3-187x^2-160x+336	$f (x) = 2 x^{5} - 13 x^{4} + 22 x^{3} - 187 x^{2} - 160 x + 336$
32590	Solve for x	log base 3 of 1/9=x/3	$\log_{3} (\frac{1}{9}) = \frac{x}{3}$
32591	Solve for y	4(-y+3)=2(5-y)	$4 (- y + 3) = 2 (5 - y)$
32592	Divide Using Long Polynomial Division	(10x^3+27x^2+14x+5)÷(x^2+2x)	$(10 x^{3} + 27 x^{2} + 14 x + 5) \div (x^{2} + 2 x)$
32593	Evaluate	square root of 4x+41=x+5	$\sqrt{4 x + 41} = x + 5$
32594	Find the Exact Value	tan(-(3pi)/4)csc((2pi)/3)	$\tan (- \frac{3 π}{4}) \csc (\frac{2 π}{3})$
32595	Solve by Substitution	y=6x and 2x+3y=-20	$y = 6 x$ and $2 x + 3 y = - 20$
32596	Simplify	(-sin(theta)^2+sec(theta)^2-cos(theta)^2)/(tan(theta))	$\frac{- \sin^{2} (θ) + \sec^{2} (θ) - \cos^{2} (θ)}{\tan (θ)}$
32597	Simplify	8-4x-x^3+x^2+7x-9	$8 - 4 x - x^{3} + x^{2} + 7 x - 9$
32598	Find All Complex Solutions	2sin(theta)=-1	$2 \sin (θ) = - 1$
32599	Convert to Radical Form	(x^2+y^2)^(1/2)	${(x^{2} + y^{2})}^{\frac{1}{2}}$
32600	Find the Domain	f(x) = square root of x- square root of x+2	$f (x) = \sqrt{x - \sqrt{x + 2}}$