Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
24401	Subtract	(3pi)/2-pi/2	$\frac{3 π}{2} - \frac{π}{2}$
24402	Multiply	(2x+1)(x^3-x)(x^2-3)	$(2 x + 1) (x^{3} - x) (x^{2} - 3)$
24403	Simplify	-3(x^2+x-1)+12	$- 3 (x^{2} + x - 1) + 12$
24404	Simplify	((y^2-9)/(3y))/((y^2+3y)/(2y^3))	$\frac{\frac{y^{2} - 9}{3 y}}{\frac{y^{2} + 3 y}{2 y^{3}}}$
24405	Solve for x	log base 2 of x+ log base 2 of 2x+3=1	$\log_{2} (x) + \log_{2} (2 x + 3) = 1$
24406	Solve Using the Quadratic Formula	4(x^2-x)=x^2-2	$4 (x^{2} - x) = x^{2} - 2$
24407	Describe the Transformation	g(x)=5(1/x)	$g (x) = 5 (\frac{1}{x})$
24408	Solve the Absolute Value Inequality for p	\|7+p\|=7	$\| 7 + p \| = 7$
24409	Solve for x	1/10(x+50)=-3x-13+4x	$\frac{1}{10} (x + 50) = - 3 x - 13 + 4 x$
24410	Find the x and y Intercepts	y=(x)(x+6)(x+1)(x-1)	$y = (x) (x + 6) (x + 1) (x - 1)$
24411	Write in Exponential Form	cube root of ( square root of x^6y^8z)/(125z^(1/2))	$\sqrt[3]{\frac{\sqrt{x^{6} y^{8} z}}{125 z^{\frac{1}{2}}}}$
24412	Solve the Function Operation	36 is 0.9% of what number w ?	$36$ is $0.9 %$ of what number $w$ ?
24413	Solve for x	17-5(2x-9)=-(-6x+10)+4	$17 - 5 (2 x - 9) = - (- 6 x + 10) + 4$
24414	Solve for w	2(12-w)=-2(w-17)-10	$2 (12 - w) = - 2 (w - 17) - 10$
24415	Simplify the Radical Expression	5^-2	$5^{- 2}$
24416	Solve for s	(2 square root of 3)^2 = square root of s	${(2 \sqrt{3})}^{2} = \sqrt{s}$
24417	Simplify	(81-x^2)/(x^2-81)4/(x^2-16x+63)(9x^3+27x^2-630x)/(-x-10)	$\frac{81 - x^{2}}{x^{2} - 81} \cdot \frac{4}{x^{2} - 16 x + 63} \cdot \frac{9 x^{3} + 27 x^{2} - 630 x}{- x - 10}$
24418	Evaluate	46/360(2pi*3)	$\frac{46}{360} (2 π \cdot 3)$
24419	Find the x and y Intercepts	x^3-4x^2+x+6	$x^{3} - 4 x^{2} + x + 6$
24420	Find the Holes in the Graph	f(x)=(x^2+3x-4)/x	$f (x) = \frac{x^{2} + 3 x - 4}{x}$
24421	Simplify	((3j^2)/(5k))÷((6j)/(10k))	$\frac{3 j^{2}}{5 k} \div \frac{6 j}{10 k}$
24422	Find the Holes in the Graph	(2x+8)/(3x+12)	$\frac{2 x + 8}{3 x + 12}$
24423	Evaluate Using the Given Value	Find P(theta) if theta=(9pi)/4	Find $P (θ)$ if $θ = \frac{9 π}{4}$
24424	Simplify	((r^3s^-1)/(r^2s^6))^-1	${(\frac{r^{3} s^{- 1}}{r^{2} s^{6}})}^{- 1}$
24425	Solve the System of Inequalities	-3x-1<=2x+9 and -4x+3>-2x+11	$- 3 x - 1 \leq 2 x + 9$ and $- 4 x + 3 > - 2 x + 11$
24426	Factor	30xy^2z+25x^2yz^2-5yz	$30 x y^{2} z + 25 x^{2} y z^{2} - 5 y z$
24427	Graph	y=3-4sin(2/3(x-1))	$y = 3 - 4 \sin (\frac{2}{3} (x - 1))$
24428	Graph	f(x)=2/(x^4-16) on interval (0,2) union (2,infinity)	$f (x) = \frac{2}{x^{4} - 16}$ on interval $(0, 2) \cup (2, \infty)$
24429	Simplify	(v-6)/((v+3)(v-3))+4/((v+3)(v-3))	$\frac{v - 6}{(v + 3) (v - 3)} + \frac{4}{(v + 3) (v - 3)}$
24430	Solve for x	3/(3x^2+5x-12)=1/(3x^2+5x-12)-1/(x+3)	$\frac{3}{3 x^{2} + 5 x - 12} = \frac{1}{3 x^{2} + 5 x - 12} - \frac{1}{x + 3}$
24431	Find the Exact Value	1/(2+ square root of 3)+1/(2- square root of 3)	$\frac{1}{2 + \sqrt{3}} + \frac{1}{2 - \sqrt{3}}$
24432	Simplify	(-7x^3+5x^2-x+6)-(-8x^3+x^2+3)	$(- 7 x^{3} + 5 x^{2} - x + 6) - (- 8 x^{3} + x^{2} + 3)$
24433	Graph	x/2+1<=3x+2	$\frac{x}{2} + 1 \leq 3 x + 2$
24434	Write the Fraction in Simplest Form	((4s^-1j^-3)^-3)/(20s^-2)	$\frac{{(4 s^{- 1} j^{- 3})}^{- 3}}{20 s^{- 2}}$
24435	Solve for t	cos(t)^3=cos(t)	$\cos^{3} (t) = \cos (t)$
24436	Divide Using Long Polynomial Division	Use the long division method to find the result when 6x^3+9x^2-17x-5 is divided by 2x+5	Use the long division method to find the result when $6 x^{3} + 9 x^{2} - 17 x - 5$ is divided by $2 x + 5$
24437	Find the Derivative - d/dx	y=e^(-x)cosh(x)	$y = e^{- x} \cosh (x)$
24438	Solve for c	3/4=7.5/(2c)	$\frac{3}{4} = \frac{7.5}{2 c}$
24439	Solve for b	-1.2b-5.3>=1.9	$- 1.2 b - 5.3 \geq 1.9$
24440	Verify the Identity	sec(theta)^2=1+tan(theta)^2	$\sec^{2} (θ) = 1 + \tan^{2} (θ)$
24441	Evaluate	e^x*e^(-x)	$e^{x} \cdot e^{- x}$
24442	Evaluate the Function	([(1,4-0,2)*3,2])÷1 , 5	$[(1, 4 - 0, 2) \times 3, 2] \div 1$ , $5$
24443	Simplify	(-( square root of 2)/2)÷(( square root of 2)/2)	$- \frac{\sqrt{2}}{2} \div \frac{\sqrt{2}}{2}$
24444	Graph	f(t)=1/10t^2(t-4)^3(t+5)^2	$f (t) = \frac{1}{10} t^{2} {(t - 4)}^{3} {(t + 5)}^{2}$
24445	Simplify	-(57)^0+(1/2)^-2-1^5	$- {(57)}^{0} + {(\frac{1}{2})}^{- 2} - 1^{5}$
24446	Simplify	((3m^3n)/(n^3))^-3	${(\frac{3 m^{3} n}{n^{3}})}^{- 3}$
24447	Evaluate Using L'Hospital's Rule	limit as x approaches 4 of (x-4)/( square root of x-2)	$lim_{x \to 4} \frac{x - 4}{\sqrt{x} - 2}$
24448	Simplify	(12-8)^3-2*7+ square root of 36	${(12 - 8)}^{3} - 2 \cdot 7 + \sqrt{36}$
24449	Simplify	square root of 2ab^2* square root of 10a^5b	$\sqrt{2 a b^{2}} \cdot \sqrt{10 a^{5} b}$
24450	Solve for t	3csc(t)^2=4	$3 \csc^{2} (t) = 4$
24451	Find the Vertex	D(x)=1/36(x-60)^2-100	$D (x) = \frac{1}{36} {(x - 60)}^{2} - 100$
24452	Simplify	f(x) = cube root of 27x^9	$f (x) = \sqrt[3]{27 x^{9}}$
24453	Add	(8x+7)+(6-5x)	$(8 x + 7) + (6 - 5 x)$
24454	Evaluate	(5*180)/pi	$\frac{5 \cdot 180}{π}$
24455	Find the Domain	(x/(1+x))/(1+(x/(1+x)))	$\frac{(\frac{x}{1 + x})}{1 + (\frac{x}{1 + x})}$
24456	Evaluate Using L'Hospital's Rule	limit as x approaches 1 of (3cos(2x-2)-3x^2)/(3 natural log of 3-2x)	$lim_{x \to 1} \frac{3 \cos (2 x - 2) - 3 x^{2}}{3 \ln (3 - 2 x)}$
24457	Expand Using Sum/Difference Formulas	6(2x-3)-2(2x+1)	$6 (2 x - 3) - 2 (2 x + 1)$
24458	Find the Slope	(2,3) and (7,4)	$(2, 3)$ and $(7, 4)$
24459	Find the Antiderivative	1+tan(x/2)^2	$1 + \tan^{2} (\frac{x}{2})$
24460	Simplify	40+5^2-7*4	$40 + 5^{2} - 7 \cdot 4$
24461	Add	2/4+3/4+3/4+1+1	$\frac{2}{4} + \frac{3}{4} + \frac{3}{4} + 1 + 1$
24462	Solve for x	4/(x+2)=(x^2)/(x+2)	$\frac{4}{x + 2} = \frac{x^{2}}{x + 2}$
24463	Solve for x	3x-4(5x-2)=12x-(5x-6)	$3 x - 4 (5 x - 2) = 12 x - (5 x - 6)$
24464	Simplify	1/(x^2+2x)+x/(x+2)	$\frac{1}{x^{2} + 2 x} + \frac{x}{x + 2}$
24465	Solve for x	(2^(2x)+2)(2^(3x-7))=2^25	$(2^{2 x} + 2) (2^{3 x - 7}) = 2^{25}$
24466	Evaluate	(-20)÷(-5)(3)+6-5*-2	$(- 20) \div (- 5) (3) + 6 - 5 \cdot - 2$
24467	Simplify	(3/(2n^2))^(2/3)	${(\frac{3}{2 n^{2}})}^{\frac{2}{3}}$
24468	Find the Inverse	y=-3/5x+7/5	$y = - \frac{3}{5} x + \frac{7}{5}$
24469	Solve the Inequality for y	y/-3+17>12	$\frac{y}{- 3} + 17 > 12$
24470	Solve the Rational Equation for x	square root of x+11=15	$\sqrt{x} + 11 = 15$
24471	Solve for x	7^(x+3) = square root of 7	$7^{x + 3} = \sqrt{7}$
24472	Evaluate	square root of x+2=x	$\sqrt{x + 2} = x$
24473	Solve the System of Equations	x+y=19 y=3x-1	$x + y = 19$ $y = 3 x - 1$
24474	Add	3/(12y)+9/24	$\frac{3}{12 y} + \frac{9}{24}$
24475	Write in y=mx+b Form	(-8,-2) and (-4,6)	$(- 8, - 2)$ and $(- 4, 6)$
24476	Evaluate	40% of 40	$40 %$ of $40$
24477	Factor	(y^4+8y^3+16y^2)-(y^2+8y+16)	$(y^{4} + 8 y^{3} + 16 y^{2}) - (y^{2} + 8 y + 16)$
24478	Find the Degree	-6y^5z^5-(x^4)/3	$- 6 y^{5} z^{5} - \frac{x^{4}}{3}$
24479	Simplify	i^119+i^42+5i^57-8i^74	$i^{119} + i^{42} + 5 i^{57} - 8 i^{74}$
24480	Solve the Inequality for p	\|(2p-8)/4\|>=9	$\| \frac{2 p - 8}{4} \| \geq 9$
24481	Find the Maximum/Minimum Value	f(x)=-1/2x^4+2x^3+40x^2-13	$f (x) = - \frac{1}{2} x^{4} + 2 x^{3} + 40 x^{2} - 13$
24482	Simplify	(x-1)/(9x+9)*(x^2-2x-3)/(x^2+5x-6)	$\frac{x - 1}{9 x + 9} \cdot \frac{x^{2} - 2 x - 3}{x^{2} + 5 x - 6}$
24483	Simplify	(xy^-5)/( square root of 16x^3y^2)	$\frac{x y^{- 5}}{\sqrt{16 x^{3} y^{2}}}$
24484	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-4,-2) and has a slope of -1/2 ?	What is the equation of the line that passes through the point $(- 4, - 2)$ and has a slope of $- \frac{1}{2}$ ?
24485	Evaluate	square root of 3csc(x)-2=0	$\sqrt{3} \csc (x) - 2 = 0$
24486	Solve the Function Operation	f(x)=-x+1 ; find f(0)	$f (x) = - x + 1$ ; find $f (0)$
24487	Simplify	-3xi^4+9xi	$- 3 x i^{4} + 9 x i$
24488	Find the Roots (Zeros)	x^2=-1	$x^{2} = - 1$
24489	Simplify	9^15*1/(9^15)	$9^{15} \cdot \frac{1}{9^{15}}$
24490	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 2 ?	What is the equation of the line that passes through the point $(5, 6)$ and has a slope of $2$ ?
24491	Multiply	3/5(-1/6)	$\frac{3}{5} (- \frac{1}{6})$
24492	Solve for B	(sec(x)-1)/(sec(x)+1)=(A-cos(x))/(B+cos(x))	$\frac{\sec (x) - 1}{\sec (x) + 1} = \frac{A - \cos (x)}{B + \cos (x)}$
24493	Solve for x	35/(x^2+x-6)-6/(x+3)=7/(x-2)	$\frac{35}{x^{2} + x - 6} - \frac{6}{x + 3} = \frac{7}{x - 2}$
24494	Determine if True	(sec(theta)sin(theta))/(tan(theta)+cot(theta))=sin(theta)^2	$\frac{\sec (θ) \sin (θ)}{\tan (θ) + \cot (θ)} = \sin^{2} (θ)$
24495	Solve Using the Quadratic Formula	x^2-y=-4x-3	$x^{2} - y = - 4 x - 3$
24496	Solve for B	8x+By=60	$8 x + B y = 60$
24497	Graph	2n+7>=27 or 3+3n<=30	$2 n + 7 \geq 27$ or $3 + 3 n \leq 30$
24498	Graph	f(x)=a\|x\|	$f (x) = a \| x \|$
24499	Find dy/dx	-y^2-y=2x^3	$- y^{2} - y = 2 x^{3}$
24500	Evaluate	a*a^-10	$a \cdot a^{- 10}$