Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
227401	Find the Product	(5x-y^2)(25x^2+5xy^2+y^4)	$(5 x - y^{2}) (25 x^{2} + 5 x y^{2} + y^{4})$
227402	Solve for x	log of x^2-2+2 log of 6 = log of 6x	$\log (x^{2} - 2) + 2 \log (6) = \log (6 x)$
227403	Solve for y	y=-(2^-5)	$y = - (2^{- 5})$
227404	Simplify	8/(2x^2-7x+5)+(3x+2)/(2x^2-x-10)	$\frac{8}{2 x^{2} - 7 x + 5} + \frac{3 x + 2}{2 x^{2} - x - 10}$
227405	Simplify	(3-6i)/(3i)	$\frac{3 - 6 i}{3 i}$
227406	Find the Exact Value	3 square root of -27	$3 \sqrt{- 27}$
227407	Multiply	cube root of 4x* cube root of 2x	$\sqrt[3]{4 x} \cdot \sqrt[3]{2 x}$
227408	Divide	( square root of 6x)/( square root of 3x)	$\frac{\sqrt{6 x}}{\sqrt{3 x}}$
227409	Solve by Completing the Square	x^2+7/2x-7=0	$x^{2} + \frac{7}{2} x - 7 = 0$
227410	Solve for x	2^3*4^x=2^11	$2^{3} \cdot 4^{x} = 2^{11}$
227411	Simplify	1/(cos(x))+1/(sin(x))	$\frac{1}{\cos (x)} + \frac{1}{\sin (x)}$
227412	Factor	(x-4)^2-(9x-1)^2	${(x - 4)}^{2} - {(9 x - 1)}^{2}$
227413	Solve for w	(2w+8)(2w+10)=224	$(2 w + 8) (2 w + 10) = 224$
227414	Graph	\|x\|<4 and \|y\|<2	$\| x \| < 4$ and $\| y \| < 2$
227415	Evaluate	(1+cos(theta))(1-cos(theta))=sin(theta)^2	$(1 + \cos (θ)) (1 - \cos (θ)) = \sin^{2} (θ)$
227416	Find the x and y Intercepts	f(x)=3(3x+1)	$f (x) = 3 (3 x + 1)$
227417	Solve the Inequality for f	9f-2(3f+5)<=8	$9 f - 2 (3 f + 5) \leq 8$
227418	Simplify	2/3y+1/3y-y	$\frac{2}{3} y + \frac{1}{3} y - y$
227419	Graph	f(x)=x^2-2x+1=0	$f (x) = x^{2} - 2 x + 1 = 0$
227420	Simplify	(m-2n)(3m+5n)+4mn	$(m - 2 n) (3 m + 5 n) + 4 m n$
227421	Solve the Inequality for x	cos(x)>=1/2	$\cos (x) \geq \frac{1}{2}$
227422	Simplify	square root of 5x square root of 7y	$\sqrt{5 x} \sqrt{7 y}$
227423	Simplify	((x^-2y)/(z^2))^-4	${(\frac{x^{- 2} y}{z^{2}})}^{- 4}$
227424	Solve the Inequality for x	5x^2+25x+8<=4x+4	$5 x^{2} + 25 x + 8 \leq 4 x + 4$
227425	Find the Equation Using Slope-Intercept Form	y=3x+6 , (4,7)	$y = 3 x + 6$ , $(4, 7)$
227426	Solve for p	-p/3-8=3	$- \frac{p}{3} - 8 = 3$
227427	Simplify the Radical Expression	square root of (x+1)^4	$\sqrt{{(x + 1)}^{4}}$
227428	Simplify the Radical Expression	(m^(-5/8))(m^(3/8))	$(m^{- \frac{5}{8}}) (m^{\frac{3}{8}})$
227429	Simplify	((-6x)/(x+y))/(y/(x^2))	$\frac{\frac{- 6 x}{x + y}}{\frac{y}{x^{2}}}$
227430	Simplify	fourth root of 9(a+3)^2	$\sqrt[4]{9 {(a + 3)}^{2}}$
227431	Solve for x	square root of 3x-3/4=0	$\sqrt{3 x} - \frac{3}{4} = 0$
227432	Evaluate	(x^-8y^-6y^5)/(x^-3)	$\frac{x^{- 8} y^{- 6} y^{5}}{x^{- 3}}$
227433	Divide	(2/3)/(7/8)	$\frac{\frac{2}{3}}{\frac{7}{8}}$
227434	Divide	(a-a^4)/(a^2+a+1)	$\frac{a - a^{4}}{a^{2} + a + 1}$
227435	Simplify	square root of x* square root of x^3	$\sqrt{x} \cdot \sqrt{x^{3}}$
227436	Simplify	2k(-3k^3+k^2-10)	$2 k (- 3 k^{3} + k^{2} - 10)$
227437	Evaluate the Function	f(-3)=6/(2x-3)	$f (- 3) = \frac{6}{2 x - 3}$
227438	Solve for y	x+(y-1)^2=0	$x + {(y - 1)}^{2} = 0$
227439	Multiply	log base 3 of 5* log base 2 of 3* log base 5 of 16	$\log_{3} (5) \cdot \log_{2} (3) \cdot \log_{5} (16)$
227440	Simplify	square root of 48+3 square root of 27-7( square root of 12- square root of 75)	$\sqrt{48} + 3 \sqrt{27} - 7 (\sqrt{12} - \sqrt{75})$
227441	Solve the Rational Equation for x	square root of (x-1)^2=1-x	$\sqrt{{(x - 1)}^{2}} = 1 - x$
227442	Subtract	(4x-3)/(x^2-9)-(2x-3)/(x-3)	$\frac{4 x - 3}{x^{2} - 9} - \frac{2 x - 3}{x - 3}$
227443	Simplify	(x-y)/x-(y-x)/y+(x^2+y^2)/(xy)	$\frac{(x - y)}{x} - \frac{(y - x)}{y} + \frac{(x^{2} + y^{2})}{x y}$
227444	Solve Using the Square Root Property	1/4(x+1)^2-16=0	$\frac{1}{4} {(x + 1)}^{2} - 16 = 0$
227445	Graph	tan(theta)>0 and csc(theta)<0	$\tan (θ) > 0$ and $\csc (θ) < 0$
227446	Solve for y	y-5=3-9(y+2)	$y - 5 = 3 - 9 (y + 2)$
227447	Evaluate	18+6÷3(2^2+5)	$18 + 6 \div 3 (2^{2} + 5)$
227448	Solve for x	5x^3+3x-2x^3=3x^3	$5 x^{3} + 3 x - 2 x^{3} = 3 x^{3}$
227449	Solve for x	x^3+x^2-2=0	$x^{3} + x^{2} - 2 = 0$
227450	Find the Exact Value	-5(20-10)	$- 5 (20 - 10)$
227451	Simplify	(8y^-2)/(2x)	$\frac{(8 y^{- 2})}{2 x}$
227452	Simplify	(cot(x)sec(x)^2-cot(x))/(sin(x)tan(x)+cos(x))	$\frac{\cot (x) \sec^{2} (x) - \cot (x)}{\sin (x) \tan (x) + \cos (x)}$
227453	Find the Domain and Range	f(x)=2sin(2x)-pi/2	$f (x) = 2 \sin (2 x) - \frac{π}{2}$
227454	Simplify	( cube root of 54)/( sixth root of 4)	$\frac{\sqrt[3]{54}}{\sqrt[6]{4}}$
227455	Multiply	(3x-9)/(9x^2-4)*(3x-2)/(5x+7)	$\frac{3 x - 9}{9 x^{2} - 4} \cdot \frac{3 x - 2}{5 x + 7}$
227456	Find the LCM	x^2+6x+9 and x^2+8x+15	$x^{2} + 6 x + 9$ and $x^{2} + 8 x + 15$
227457	Find All Complex Solutions	1-3/(x-1)=-6/(x^2-1)	$1 - \frac{3}{x - 1} = - \frac{6}{x^{2} - 1}$
227458	Find the Domain and Range	y=3 square root of -x-6	$y = 3 \sqrt{- x} - 6$
227459	Solve the Inequality for x	-8<=(-3x+1)/4<=11	$- 8 \leq \frac{- 3 x + 1}{4} \leq 11$
227460	Find the x and y Intercepts	f(x)=4(x+4)(2x+5)^2(x+4)	$f (x) = 4 (x + 4) {(2 x + 5)}^{2} (x + 4)$
227461	Find All Complex Solutions	-8x^2-8=-32	$- 8 x^{2} - 8 = - 32$
227462	Solve for x	3x<=-5/4	$3 x \leq - \frac{5}{4}$
227463	Simplify	(x^2+7x-8)/(x-7)(x^3-12x^2+35x)/(x^2-3x+2)(x^2-11x+18)/(4x^3+12x^2-160x)	$\frac{x^{2} + 7 x - 8}{x - 7} \cdot \frac{x^{3} - 12 x^{2} + 35 x}{x^{2} - 3 x + 2} \cdot \frac{x^{2} - 11 x + 18}{4 x^{3} + 12 x^{2} - 160 x}$
227464	Simplify	((x^2-9)/(x^2-25))÷((x^2-8x+15)/(x^2+7x+10))	$\frac{x^{2} - 9}{x^{2} - 25} \div \frac{x^{2} - 8 x + 15}{x^{2} + 7 x + 10}$
227465	Solve for x	x/2=x	$\frac{x}{2} = x$
227466	Divide	(3 square root of 20)/(2 square root of 4)	$\frac{3 \sqrt{20}}{2 \sqrt{4}}$
227467	Simplify	(16i^2)/(2i)	$\frac{16 i^{2}}{2 i}$
227468	Simplify	square root of 4^3x^2	$\sqrt{4^{3} x^{2}}$
227469	Simplify	1/7+3/(8x)	$\frac{1}{7} + \frac{3}{8 x}$
227470	Simplify	(7x+4+6x^2)+(6+2x^2-4x)	$(7 x + 4 + 6 x^{2}) + (6 + 2 x^{2} - 4 x)$
227471	Solve the Inequality for x	log of 3x-1> log of 4-x	$\log (3 x - 1) > \log (4 - x)$
227472	Simplify	(10+7r-r2)+(-6r2-18+5r)	$(10 + 7 r - r \cdot 2) + (- 6 r \cdot 2 - 18 + 5 r)$
227473	Simplify	(1/2)/(3/2)	$\frac{\frac{1}{2}}{\frac{3}{2}}$
227474	Divide Using Long Polynomial Division	(2x^3+18x+5x^2+45)÷(2x+5)	$(2 x^{3} + 18 x + 5 x^{2} + 45) \div (2 x + 5)$
227475	Solve for f	34+23f>=175	$34 + 23 f \geq 175$
227476	Determine if True	(cos(x)tan(x))/(sin(x))=1	$\frac{\cos (x) \tan (x)}{\sin (x)} = 1$
227477	Divide	(1/6)÷(-1/3)	$\frac{1}{6} \div \frac{- 1}{3}$
227478	Simplify	x/3-1/4x	$\frac{x}{3} - \frac{1}{4} x$
227479	Solve for y	y = square root of 121+6	$y = \sqrt{121} + 6$
227480	Solve for p	log base 8 of p^2+15=2	$\log_{8} (p^{2} + 15) = 2$
227481	Graph	\|x\|>y y<=6 y>=-2	$\| x \| > y$ $y \leq 6$ $y \geq - 2$
227482	Solve for x	(3(x+4))/(4(x+3)^(3/2))=0	$\frac{3 (x + 4)}{4 {(x + 3)}^{\frac{3}{2}}} = 0$
227483	Simplify	(x/4+1/8)/((x^2)/4)	$\frac{\frac{x}{4} + \frac{1}{8}}{\frac{x^{2}}{4}}$
227484	Solve for x	3/x=10/(4x)-2	$\frac{3}{x} = \frac{10}{4 x} - 2$
227485	Simplify	(a-(2a-1)/a)/((1-a)/(3a))	$\frac{(a - \frac{(2 a - 1)}{a})}{\frac{(1 - a)}{3 a}}$
227486	Evaluate	(5y^3)/((5y)^-2)	$\frac{5 y^{3}}{{(5 y)}^{- 2}}$
227487	Graph	y>-3 y>4x+1	$y > - 3$ $y > 4 x + 1$
227488	Solve the Inequality for d	12>d/12	$12 > \frac{d}{12}$
227489	Solve for k	f(x+5)=x^2+kx+30	$f (x + 5) = x^{2} + k x + 30$
227490	Simplify	Simplify: (3^2)^2	Simplify: ${(3^{2})}^{2}$
227491	Solve for k	-600=2/5k^3+750	$- 600 = \frac{2}{5} k^{3} + 750$
227492	Solve for x	28-5=2+3(x+3)	$28 - 5 = 2 + 3 (x + 3)$
227493	Find the Product	(7x)/(x-4)*x/(x+7)	$\frac{7 x}{x - 4} \cdot \frac{x}{x + 7}$
227494	Solve for x	(x+1)/2-x/6=1/2	$\frac{x + 1}{2} - \frac{x}{6} = \frac{1}{2}$
227495	Simplify	(x^2-6x)/(x^2-36)*(x+6)/(x^2)	$\frac{x^{2} - 6 x}{x^{2} - 36} \cdot \frac{x + 6}{x^{2}}$
227496	Evaluate	((-2m^4)^2)/(8m^2)	$\frac{{(- 2 m^{4})}^{2}}{8 m^{2}}$
227497	Simplify	2x^2-3xy+4y^2-3x^2-5xy-6y^2	$2 x^{2} - 3 x y + 4 y^{2} - 3 x^{2} - 5 x y - 6 y^{2}$
227498	Simplify	(x+y)-(y-x)	$(x + y) - (y - x)$
227499	Divide	(-4/7)÷(8/5)	$- \frac{4}{7} \div \frac{8}{5}$
227500	Factor	3x^2-9y+12xy	$3 x^{2} - 9 y + 12 x y$