Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
229101	Simplify	(x^(2/3)y^(-1/4))/(x^(1/2)y^(-1/2))	$\frac{x^{\frac{2}{3}} y^{- \frac{1}{4}}}{x^{\frac{1}{2}} y^{- \frac{1}{2}}}$
229102	Solve for m	6x+3=m(2x+1)	$6 x + 3 = m (2 x + 1)$
229103	Solve for t	r=r_0+1/10at^2	$r = r_{0} + \frac{1}{10} a t^{2}$
229104	Simplify	(11- square root of -72)(2+ square root of -18)	$(11 - \sqrt{- 72}) (2 + \sqrt{- 18})$
229105	Solve for a	3/a-4/(a+2)=0	$\frac{3}{a} - \frac{4}{a + 2} = 0$
229106	Determine if Linear	y=(4x-2)/12	$y = \frac{4 x - 2}{12}$
229107	Evaluate	70% of 50	$70 %$ of $50$
229108	Find the Exact Value	cos(25 degrees )cos(15 degrees )-sin(25 degrees )sin(15 degrees )	$\cos (25 °) \cos (15 °) - \sin (25 °) \sin (15 °)$
229109	Convert to Set Notation	2(x-4)<=2+3(x-6)	$2 (x - 4) \leq 2 + 3 (x - 6)$
229110	Solve for x	log base square root of 5 of 5=x	$\log_{\sqrt{5}} (5) = x$
229111	Solve the Inequality for x	1/4(8-x)>-3	$\frac{1}{4} (8 - x) > - 3$
229112	Solve for x	x=- square root of 2x+15	$x = - \sqrt{2 x + 15}$
229113	Solve for c	x^2-c=0	$x^{2} - c = 0$
229114	Subtract	(9x^4+x^2)-(6x^4-3x^2-8)	$(9 x^{4} + x^{2}) - (6 x^{4} - 3 x^{2} - 8)$
229115	Evaluate	(5(1023/1024))/(1/2)	$\frac{5 (\frac{1023}{1024})}{\frac{1}{2}}$
229116	Divide Using Long Polynomial Division	(-30x^3y+12x^2y^2-18x^2y)÷(-6x^2y)	$(- 30 x^{3} y + 12 x^{2} y^{2} - 18 x^{2} y) \div (- 6 x^{2} y)$
229117	Solve Using the Quadratic Formula	3/(x-1)-(2x+10)/(x^2+2x-3)=1/3	$\frac{3}{x - 1} - \frac{2 x + 10}{x^{2} + 2 x - 3} = \frac{1}{3}$
229118	Write in Standard Form	f(x)=(x+2)(2x-8)	$f (x) = (x + 2) (2 x - 8)$
229119	Graph	x^6-15=5x^4-x^2	$x^{6} - 15 = 5 x^{4} - x^{2}$
229120	Solve for x	(x+3)/(x+4)-2/(x+4)=3/(x-4)	$\frac{x + 3}{x + 4} - \frac{2}{x + 4} = \frac{3}{x - 4}$
229121	Simplify	(25/4)/(1/5-4/25)	$\frac{\frac{25}{4}}{\frac{1}{5} - \frac{4}{25}}$
229122	Solve for g	96g-22g+82=3(26g-61)+9	$96 g - 22 g + 82 = 3 (26 g - 61) + 9$
229123	Factor	Factor: 32a^2+50q^2	Factor: $32 a^{2} + 50 q^{2}$
229124	Evaluate	60/360(2pi*18)	$\frac{60}{360} (2 π \cdot 18)$
229125	Simplify the Radical Expression	(5-4 square root of 2)/(4-3 square root of 2)	$\frac{5 - 4 \sqrt{2}}{4 - 3 \sqrt{2}}$
229126	Solve for z	(4z)/-12=-8	$\frac{4 z}{- 12} = - 8$
229127	Solve for x	cos(x/2+pi/3)^2-1=0	$\cos^{2} (\frac{x}{2} + \frac{π}{3}) - 1 = 0$
229128	Simplify	( square root of 2- square root of 6)/( square root of 6- square root of 8)	$\frac{\sqrt{2} - \sqrt{6}}{\sqrt{6} - \sqrt{8}}$
229129	Solve for x	1/6(-4x-5)=6(2x+5)	$\frac{1}{6} (- 4 x - 5) = 6 (2 x + 5)$
229130	Divide	(25x^7y^3)/(xy^2)	$\frac{25 x^{7} y^{3}}{x y^{2}}$
229131	Solve for x	log of 2x+1+ log of x-4 = log of 2x^2-4	$\log (2 x + 1) + \log (x - 4) = \log (2 x^{2} - 4)$
229132	Evaluate	x^0+3^-1-3^2	$x^{0} + 3^{- 1} - 3^{2}$
229133	Write in Standard Form	15(y-1/3)=x	$15 (y - \frac{1}{3}) = x$
229134	Find the LCD	(8x)/(x+3) and 2/(3x)	$\frac{8 x}{x + 3}$ and $\frac{2}{3 x}$
229135	Subtract	8/(5-c)-8/(5+c)	$\frac{8}{5 - c} - \frac{8}{5 + c}$
229136	Write in Standard Form	y(y+4)-y(y-3)-9y	$y (y + 4) - y (y - 3) - 9 y$
229137	Find the Exact Value	2(2)^2	$2 {(2)}^{2}$
229138	Solve Using the Quadratic Formula	x^2+x-48=3x	$x^{2} + x - 48 = 3 x$
229139	Solve for r	-1/3=r-3/4	$- \frac{1}{3} = r - \frac{3}{4}$
229140	Find the Exact Value	(1+0.06/4)^(4/12)-1	${(1 + \frac{0.06}{4})}^{\frac{4}{12}} - 1$
229141	Find y Using the Constant of Variation	If z varies jointly with x and y ; when x=3 , y=8 , z=6 Find z ; when x=6 and y=4	If $z$ varies jointly with $x$ and $y$ ; when $x = 3$ , $y = 8$ , $z = 6$ Find $z$ ; when $x = 6$ and $y = 4$
229142	Evaluate	(-1/2)/1	$\frac{- \frac{1}{2}}{1}$
229143	Write the Fraction in Simplest Form	(-4(k^-3v^4)^-1)/(20k^-2v^8)	$\frac{- 4 {(k^{- 3} v^{4})}^{- 1}}{20 k^{- 2} v^{8}}$
229144	Factor	18e^2f^3-12e^3f	$18 e^{2} f^{3} - 12 e^{3} f$
229145	Evaluate	(3^-2k^0w^0)/(w^-6)	$\frac{3^{- 2} \cdot k^{0} \cdot w^{0}}{w^{- 6}}$
229146	Simplify	((e^x-e^(-x))/2)^2	${(\frac{e^{x} - e^{- x}}{2})}^{2}$
229147	Convert to Interval Notation	x<4 and x>-4	$x < 4$ and $x > - 4$
229148	Graph	x<=-1 and y<=-2x+2	$x \leq - 1$ and $y \leq - 2 x + 2$
229149	Evaluate	(a^2b^-2c^-1)/(e^7)	$\frac{a^{2} b^{- 2} c^{- 1}}{e^{7}}$
229150	Solve for r	2/(x-2)+3/(x+5)=(rx+t)/((x-2)(x+5))	$\frac{2}{x - 2} + \frac{3}{x + 5} = \frac{r x + t}{(x - 2) (x + 5)}$
229151	Evaluate	2(2)^-2	$2 {(2)}^{- 2}$
229152	Simplify the Radical Expression	(2x^3y^4)^(-2/3)	${(2 x^{3} y^{4})}^{- \frac{2}{3}}$
229153	Simplify the Radical Expression	- square root of 81+ square root of -28+ square root of 1- square root of -175	$- \sqrt{81} + \sqrt{- 28} + \sqrt{1} - \sqrt{- 175}$
229154	Simplify	-10yi^3+2xi^4	$- 10 y i^{3} + 2 x i^{4}$
229155	Evaluate	(e^0.001-1)/0.001	$\frac{e^{0.001} - 1}{0.001}$
229156	Graph	y=2+3/2 square root of 5-x	$y = 2 + \frac{3}{2} \sqrt{5 - x}$
229157	Convert to a Decimal	29deg	$29$ degrees
229158	Find the GCF	a^2b^2+a	$a^{2} b^{2} + a$
229159	Simplify	square root of 3^2+1^2	$\sqrt{3^{2} + 1^{2}}$
229160	Solve by Substitution	x+y=11 4x^2-3y^2=8	$x + y = 11$ $4 x^{2} - 3 y^{2} = 8$
229161	Solve for x	x^2 = square root of 16	$x^{2} = \sqrt{16}$
229162	Solve for x	cube root of 8x^3-1+1=2x	$\sqrt[3]{8 x^{3} - 1} + 1 = 2 x$
229163	Solve the System of Equations	(x-1)^2+y^2=25 x-y^2=-4	${(x - 1)}^{2} + y^{2} = 25$ $x - y^{2} = - 4$
229164	Multiply	2pi*3	$2 π \cdot 3$
229165	Simplify	2/(5x^3)+1/4	$\frac{2}{5 x^{3}} + \frac{1}{4}$
229166	Simplify	(10x^3)/(8y^3)(16x)/(15y^2)(9y^4)/(x^3)	$\frac{10 x^{3}}{8 y^{3}} \cdot \frac{16 x}{15 y^{2}} \cdot \frac{9 y^{4}}{x^{3}}$
229167	Solve for y	y+2=1/6(x-0)	$y + 2 = \frac{1}{6} (x - 0)$
229168	Solve for y	e^y=x	$e^{y} = x$
229169	Solve the Inequality for x	x+1+4<=9	$x + 1 + 4 \leq 9$
229170	Simplify	(3x^-2)^4(x^2y^4)^3	${(3 x^{- 2})}^{4} {(x^{2} y^{4})}^{3}$
229171	Simplify	2i^3(5-3i^6)	$2 i^{3} (5 - 3 i^{6})$
229172	Simplify	-13x+(-7x)+5x	$- 13 x + (- 7 x) + 5 x$
229173	Graph	f(x)=(x^2-1)(x+2)(x+3)	$f (x) = (x^{2} - 1) (x + 2) (x + 3)$
229174	Write in Slope-Intercept Form	2y+3=-1/3(x-2)	$2 y + 3 = - \frac{1}{3} (x - 2)$
229175	Simplify	(m-3n)/(m^3-n^3)-(2n)/(n^3-m^3)	$\frac{m - 3 n}{m^{3} - n^{3}} - \frac{2 n}{n^{3} - m^{3}}$
229176	Evaluate	(tan(pi/3))/2+1/(csc(pi/3))	$\frac{\tan (\frac{π}{3})}{2} + \frac{1}{\csc (\frac{π}{3})}$
229177	Solve the Inequality for b	2.50+5b<=21	$2.5 + 5 b \leq 21$
229178	Simplify	(3x^5+3x^4-6x^3-4x^2)+(-9x^4+2x^3-5x^2)	$(3 x^{5} + 3 x^{4} - 6 x^{3} - 4 x^{2}) + (- 9 x^{4} + 2 x^{3} - 5 x^{2})$
229179	Simplify	x^-44x^43x^0	$x^{- 4} \cdot 4 x^{4} \cdot 3 x^{0}$
229180	Simplify	3b1/2*b4/3	$3 b \frac{1}{2} \cdot b \frac{4}{3}$
229181	Divide Using Long Polynomial Division	(2x^4+4x^3-5x^2+3x-2)/(x^2+2x-3)	$\frac{2 x^{4} + 4 x^{3} - 5 x^{2} + 3 x - 2}{x^{2} + 2 x - 3}$
229182	Solve the Inequality for n	-11>=6-2n-5	$- 11 \geq 6 - 2 n - 5$
229183	Simplify	(-2-4i)^2(-x)	${(- 2 - 4 i)}^{2} (- x)$
229184	Simplify	((x^6y^3)/(x^3y^-3)*(y^-7)/(x^-3))^10	${(\frac{x^{6} y^{3}}{x^{3} y^{- 3}} \cdot \frac{y^{- 7}}{x^{- 3}})}^{10}$
229185	Simplify	(n+6)/(10n+4)+(2n)/3	$\frac{n + 6}{10 n + 4} + \frac{2 n}{3}$
229186	Solve for x	tan(2x)+tan(x)=0	$\tan (2 x) + \tan (x) = 0$
229187	Find the Equation Using Slope-Intercept Form	(4,2) ; slope 12	$(4, 2)$ ; slope $12$
229188	Simplify the Radical Expression	square root of 81+ square root of -7+ square root of 9+ square root of -112	$\sqrt{81} + \sqrt{- 7} + \sqrt{9} + \sqrt{- 112}$
229189	Simplify	square root of (8x^5y^7z^4)/(24x^3y^2z^7)	$\sqrt{\frac{8 x^{5} y^{7} z^{4}}{24 x^{3} y^{2} z^{7}}}$
229190	Solve the Inequality for k	4/5(4k-1)>=5/4(3k-2)	$\frac{4}{5} (4 k - 1) \geq \frac{5}{4} (3 k - 2)$
229191	Evaluate the Function	g(x)=5/(x-1) at x=2	$g (x) = \frac{5}{x - 1}$ at $x = 2$
229192	Graph	2-\|x-1\|	$2 - \| x - 1 \|$
229193	Solve by Factoring	fourth root of 2=2^(1/4)	$\sqrt[4]{2} = 2^{\frac{1}{4}}$
229194	Simplify	-2y^3(5xy^4)	$- 2 y^{3} (5 x y^{4})$
229195	Factor	determine the factors of 144x^2-64	determine the factors of $144 x^{2} - 64$
229196	Multiply	( square root of 8x^4y^2)( square root of 12x^4y^2)	$(\sqrt{8 x^{4} y^{2}}) (\sqrt{12 x^{4} y^{2}})$
229197	Evaluate	-( square root of 3)/(2/(1/2))	$- \frac{\sqrt{3}}{\frac{2}{\frac{1}{2}}}$
229198	Solve for x	2x(x+3)+2(x+3)=0	$2 x (x + 3) + 2 (x + 3) = 0$
229199	Simplify	x-(3x-8)^2	$x - {(3 x - 8)}^{2}$
229200	Write in Standard Form	(x^2+x-1)(3x^2+6x+6)	$(x^{2} + x - 1) (3 x^{2} + 6 x + 6)$