Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
43401	Find the Roots (Zeros)	(x^2+4)(x+5)^2=0	$(x^{2} + 4) {(x + 5)}^{2} = 0$
43402	Determine if Odd, Even, or Neither	f(x)=sinh(x)	$f (x) = \sinh (x)$
43403	Simplify the Radical Expression	4 square root of 24-2 square root of 80+11 square root of 6-3 square root of 216	$4 \sqrt{24} - 2 \sqrt{80} + 11 \sqrt{6} - 3 \sqrt{216}$
43404	Convert to Radical Form	((5^3)^9)÷(5^12)	${(5^{3})}^{9} \div 5^{12}$
43405	Simplify	(y/2-1/x)/((6y)/x)	$\frac{\frac{y}{2} - \frac{1}{x}}{\frac{6 y}{x}}$
43406	Find the Domain	f(x)=(9-x^2)^(3/2)	$f (x) = {(9 - x^{2})}^{\frac{3}{2}}$
43407	Solve for b	a=b-14	$a = b - 14$
43408	Factor	x^2+(1/x)^2+2	$x^{2} + {(\frac{1}{x})}^{2} + 2$
43409	Add	1/2+4 5/8	$\frac{1}{2} + 4 \frac{5}{8}$
43410	Find the Quotient	(5y^4z^5)/(y^4z^3)	$\frac{5 y^{4} z^{5}}{y^{4} z^{3}}$
43411	Solve the Inequality for t	\|3t+1\|>8	$\| 3 t + 1 \| > 8$
43412	Simplify	(5x^4y^4z^0)^0	${(5 x^{4} y^{4} z^{0})}^{0}$
43413	Simplify	(2^2)^-1*2^2	${(2^{2})}^{- 1} \cdot 2^{2}$
43414	Solve for y	y^3+4y-3y^2-12=0	$y^{3} + 4 y - 3 y^{2} - 12 = 0$
43415	Solve for v	v+3/4=1/8	$v + \frac{3}{4} = \frac{1}{8}$
43416	Simplify	square root of 3xy-2 square root of 27x^3y+4 square root of 3xy	$\sqrt{3 x y} - 2 \sqrt{27 x^{3} y} + 4 \sqrt{3 x y}$
43417	Multiply	(3x^2-2x-21)/(2x^2-9x+7)*(2x-7)/(4x-12)	$\frac{3 x^{2} - 2 x - 21}{2 x^{2} - 9 x + 7} \cdot \frac{2 x - 7}{4 x - 12}$
43418	Graph	y=-3x-4 y+4=-3x	$y = - 3 x - 4$ $y + 4 = - 3 x$
43419	Simplify	(5 square root of 4)/(3 square root of 5)	$\frac{5 \sqrt{4}}{3 \sqrt{5}}$
43420	Solve for b	2/7>b+5/7	$\frac{2}{7} > b + \frac{5}{7}$
43421	Factor by Grouping	54x^3+250y^3	$54 x^{3} + 250 y^{3}$
43422	Simplify	3xy^4*2x^-3y^4	$3 x y^{4} \cdot 2 x^{- 3} y^{4}$
43423	Find the Excluded Values	(8x^3-64)/(2x-4)	$\frac{8 x^{3} - 64}{2 x - 4}$
43424	Solve for b	4a^2-b^2=0	$4 a^{2} - b^{2} = 0$
43425	Divide Using Long Polynomial Division	(3x^4-5x^3+x^2+7x)÷(3x+1)	$(3 x^{4} - 5 x^{3} + x^{2} + 7 x) \div (3 x + 1)$
43426	Solve for x	( fourth root of 7x-5)/2 = fourth root of x-2	$\frac{\sqrt[4]{7 x - 5}}{2} = \sqrt[4]{x - 2}$
43427	Simplify	Simplify: (5^2)/(5^23)	Simplify: $\frac{5^{2}}{5^{23}}$
43428	Solve for R	PV=nRT ; solve for R	$P V = n R T$ ; solve for $R$
43429	Evaluate	49+27^2+9	$4 \times 9 + 2 \times 7^{2} + 9$
43430	Solve for x	x/(x-2)+2=8/(x^2-4)	$\frac{x}{x - 2} + 2 = \frac{8}{x^{2} - 4}$
43431	Solve the Rational Equation for x	(2^(x/2))(4^(x/2))=2^6	$(2^{\frac{x}{2}}) (4^{\frac{x}{2}}) = 2^{6}$
43432	Multiply	-x*(-x^2)	$- x \cdot (- x^{2})$
43433	Write in Slope-Intercept Form	4x+y>=4	$4 x + y \geq 4$
43434	Expand Using Pascal's Triangle	(2x^2-3y)^3	${(2 x^{2} - 3 y)}^{3}$
43435	Simplify	-(3(t)^2)/(-12t^-4)	$- \frac{3 {(t)}^{2}}{- 12 t^{- 4}}$
43436	Solve for v	57=-3(4v+1)+2v	$57 = - 3 (4 v + 1) + 2 v$
43437	Factor	3/2a^2-2ab+2/3b^2	$\frac{3}{2} a^{2} - 2 a b + \frac{2}{3} b^{2}$
43438	Simplify	tan(theta)^2+1/25(cos(theta)^2-1)	$\tan^{2} (θ) + \frac{1}{25} (\cos^{2} (θ) - 1)$
43439	Simplify the Radical Expression	(x4/3)/(x2/3)	$\frac{x \frac{4}{3}}{x \frac{2}{3}}$
43440	Solve by Addition/Elimination	10x-9y=46 and -2x+3y=10	$10 x - 9 y = 46$ and $- 2 x + 3 y = 10$
43441	Simplify	-9x-3-(5x+3)-7	$- 9 x - 3 - (5 x + 3) - 7$
43442	Graph	m(x)=4^(5/2x)	$m (x) = 4^{\frac{5}{2} x}$
43443	Simplify	(2/(7x^3))÷(2/(3x^3))	$\frac{2}{7 x^{3}} \div \frac{2}{3 x^{3}}$
43444	Solve the Rational Equation for x	square root of 4x-4=x-1	$\sqrt{4 x - 4} = x - 1$
43445	Find the Product	(4x+5)(2w-9)	$(4 x + 5) (2 w - 9)$
43446	Simplify	5r-5s+r+r+r	$5 r - 5 s + r + r + r$
43447	Convert to a Decimal	cos(150)deg	$\cos (150)$ degrees
43448	Evaluate the Limit	limit as x approaches infinity of ((1+x)/(2+x))^((1- square root of x)/(1-x))	$lim_{x \to \infty} {(\frac{1 + x}{2 + x})}^{\frac{1 - \sqrt{x}}{1 - x}}$
43449	Solve the System of Equations	-6x+8y=-10 and -4x+y=-11	$- 6 x + 8 y = - 10$ and $- 4 x + y = - 11$
43450	Simplify	cube root of (432x^8y^4)/(125x^2y^7)	$\sqrt[3]{\frac{432 x^{8} y^{4}}{125 x^{2} y^{7}}}$
43451	Solve the Rational Equation for x	3/(x+2)+6/(x^2+2x)=(3-x)/x	$\frac{3}{x + 2} + \frac{6}{x^{2} + 2 x} = \frac{3 - x}{x}$
43452	Find the Maximum/Minimum Value	y=x^4	$y = x^{4}$
43453	Solve the System of Inequalities	y>-1/6x+5 y<3/2x-5	$y > - \frac{1}{6} x + 5$ $y < \frac{3}{2} x - 5$
43454	Evaluate	6(-1)-4(-1)^2-7(-1)^3+9(-1)^2-5*-1	$6 (- 1) - 4 {(- 1)}^{2} - 7 {(- 1)}^{3} + 9 {(- 1)}^{2} - 5 \cdot - 1$
43455	Solve for x	1/3(10+x)=x	$\frac{1}{3} (10 + x) = x$
43456	Solve for x	2cos(x)^2=3sin(x)	$2 \cos^{2} (x) = 3 \sin (x)$
43457	Graph	4x^(-)*2	$4 x^{-} \cdot 2$
43458	Simplify	((x^3y^4z^5)/(x^-3y^-4z^-5))^-2	${(\frac{x^{3} y^{4} z^{5}}{x^{- 3} y^{- 4} z^{- 5}})}^{- 2}$
43459	Graph	2-9\|p+7\|>-16	$2 - 9 \| p + 7 \| > - 16$
43460	Solve the System of Equations	3x+y+7z=9 9x-y+10z=-8 4x+y+7z=2	$3 x + y + 7 z = 9$ $9 x - y + 10 z = - 8$ $4 x + y + 7 z = 2$
43461	Evaluate	5/9(72-32)	$\frac{5}{9} (72 - 32)$
43462	Solve for θ in Radians	sec(theta)=undefined	$\sec (θ) = u n d e f i n e d$
43463	Simplify	6(2x-4y+10)-3+x	$6 (2 x - 4 y + 10) - 3 + x$
43464	Factor	x^4-5x^3+5x^2+5x-6	$x^{4} - 5 x^{3} + 5 x^{2} + 5 x - 6$
43465	Factor	6a^2b-2ab+5ab^2	$6 a^{2} b - 2 a b + 5 a b^{2}$
43466	Simplify the Radical Expression	(2+ square root of -8)/(1+ square root of -2)	$\frac{2 + \sqrt{- 8}}{1 + \sqrt{- 2}}$
43467	Factor	(7x-1)^2-(9x-2)^2	${(7 x - 1)}^{2} - {(9 x - 2)}^{2}$
43468	Graph	y=1/2csc(2x)	$y = \frac{1}{2} \csc (2 x)$
43469	Integrate Using u-Substitution	integral of (e^x+e^(-x))/(e^x-e^(-x)) with respect to x	$\int \frac{e^{x} + e^{- x}}{e^{x} - e^{- x}} d x$
43470	Evaluate the Limit	limit as x approaches 0 of (2e^(2x)-2)/(x^2+x)	$lim_{x \to 0} \frac{2 e^{2 x} - 2}{x^{2} + x}$
43471	Solve Using the Quadratic Formula	1/2w^2-2/3=5/6w	$\frac{1}{2} w^{2} - \frac{2}{3} = \frac{5}{6} w$
43472	Simplify	((-3a^-5c^4d^5)/(a^5c^-4d^9))^-3	${(\frac{- 3 a^{- 5} c^{4} d^{5}}{a^{5} c^{- 4} d^{9}})}^{- 3}$
43473	Evaluate the Limit	limit as x approaches 2 from the right of 1/(x-2)-4/( natural log of 2x-3)	$lim_{x \to 2^{+}} \frac{1}{x - 2} - \frac{4}{\ln (2 x - 3)}$
43474	Solve for x	4x-10=x+3x-2x	$4 x - 10 = x + 3 x - 2 x$
43475	Solve for k	square root of 9k-9 = square root of 6k+18	$\sqrt{9 k - 9} = \sqrt{6 k + 18}$
43476	Expand the Logarithmic Expression	natural log of ((2x)/(y^3))^4	$\ln ({(\frac{2 x}{y^{3}})}^{4})$
43477	Solve the System of Inequalities	x<2 and x>-5	$x < 2$ and $x > - 5$
43478	Solve for x	(4^x)^(x-3)=256	${(4^{x})}^{x - 3} = 256$
43479	Solve for m	-2\|m-2\|=-6	$- 2 \| m - 2 \| = - 6$
43480	Solve the Inequality for w	-8w+4>=12	$- 8 w + 4 \geq 12$
43481	Graph	f(x)=(-3x^2+21x-36)/(5x-20)	$f (x) = \frac{- 3 x^{2} + 21 x - 36}{5 x - 20}$
43482	Factor	(2x+3)^2-12x-18	${(2 x + 3)}^{2} - 12 x - 18$
43483	Solve the System of Inequalities	2x+1>9 or x-4<6	$2 x + 1 > 9$ or $x - 4 < 6$
43484	Find g(h(x))	g(x)=x-6 h(x)=x+6	$g (x) = x - 6$ $h (x) = x + 6$
43485	Find the Domain and Range	y=1/2 square root of x-2	$y = \frac{1}{2} \sqrt{x - 2}$
43486	Solve for x	7^(x^2)=49^(x+4)	$7^{x^{2}} = 49^{x + 4}$
43487	Write as a Single Logarithm	log of 80-2* log of 4	$\log (80) - 2 \cdot \log (4)$
43488	Find the Reciprocal	3-1/5	$3 - \frac{1}{5}$
43489	Simplify	6a(2a-b)+2a(-4a+5b)	$6 a (2 a - b) + 2 a (- 4 a + 5 b)$
43490	Find the Slope	(5,3) and (8,5)	$(5, 3)$ and $(8, 5)$
43491	Simplify	(10/(4x-8))÷((2x^2+6x)/(x^2+x-6))	$\frac{10}{4 x - 8} \div \frac{2 x^{2} + 6 x}{x^{2} + x - 6}$
43492	Find the Derivative - d/dx	x^3+x^2+3	$x^{3} + x^{2} + 3$
43493	Evaluate the Summation	sum from i=1 to 14 of -28+3n	$\sum_{i = 1}^{14} - 28 + 3 n$
43494	Factor	4x^2y+8x^2-12x^4y	$4 x^{2} y + 8 x^{2} - 12 x^{4} y$
43495	Find the Coterminal Angle	-5/4pi	$- \frac{5}{4} π$
43496	Solve for y	10-4(3-2y)=8y-5	$10 - 4 (3 - 2 y) = 8 y - 5$
43497	Evaluate the Function	f(-2)=1/(x+2)	$f (- 2) = \frac{1}{x + 2}$
43498	Solve by Substitution	2y=6x+10 3x-y=5	$2 y = 6 x + 10$ $3 x - y = 5$
43499	Solve for v	16v-5v+18=3v-14	$16 v - 5 v + 18 = 3 v - 14$
43500	Solve the System of Equations	y=2x-1 2x-y-1=0	$y = 2 x - 1$ $2 x - y - 1 = 0$