Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
216301	Describe the Transformation	y = square root of 3x-1	$y = \sqrt{3 x} - 1$
216302	Convert to Interval Notation	x<=-5 and x<=-3	$x \leq - 5$ and $x \leq - 3$
216303	Subtract	8.3x^2+0.9xy+3.6 7.4x^2-1.7xy+6.4	$8.3 x^{2} + 0.9 x y + 3.6$ $7.4 x^{2} - 1.7 x y + 6.4$
216304	Graph	y>=1.5x-2 y>=-3x x<2 y<=4	$y \geq 1.5 x - 2$ $y \geq - 3 x$ $x < 2$ $y \leq 4$
216305	Solve for x	3^(x+3)-3^(x+2)=162	$3^{x + 3} - 3^{x + 2} = 162$
216306	Evaluate	-3.5*180/pi	$- 3.5 \cdot \frac{180}{π}$
216307	Solve for x	(2(x-3))/3=(x+1)/2	$\frac{2 (x - 3)}{3} = \frac{x + 1}{2}$
216308	Solve for w	12+9(w+20)=-3w	$12 + 9 (w + 20) = - 3 w$
216309	Solve for w	log base 2 of 2w^2- log base 2 of w+3=3	$\log_{2} (2 w^{2}) - \log_{2} (w + 3) = 3$
216310	Solve for y	a(b-y)-a(b-1)=a(ay-b)	$a (b - y) - a (b - 1) = a (a y - b)$
216311	Simplify	(9!-6!+4!)/(4!+7!)	$\frac{9! - 6! + 4!}{4! + 7!}$
216312	Simplify	(7x)/(3- square root of 2)	$\frac{7 x}{3 - \sqrt{2}}$
216313	Evaluate	5^(-3x-1)=25	$5^{- 3 x - 1} = 25$
216314	Simplify	(x^3+x^2y-6xy^2)/(x^2-2xy)	$\frac{x^{3} + x^{2} y - 6 x y^{2}}{x^{2} - 2 x y}$
216315	Factor	-4x^2+(-24x)	$- 4 x^{2} + (- 24 x)$
216316	Convert to a Decimal	150deg to rad	$150$ degrees to radians
216317	Simplify	(x^2-16)/((x^2-6x-27)(x+1))	$\frac{x^{2} - 16}{(x^{2} - 6 x - 27) (x + 1)}$
216318	Solve for x	log of 3x=1/8	$\log (3 x) = \frac{1}{8}$
216319	Simplify	((10mk^2)/(3c^2d))÷((5m^5)/(6c^2d^2))	$\frac{10 m k^{2}}{3 c^{2} d} \div \frac{5 m^{5}}{6 c^{2} d^{2}}$
216320	Graph	x+y<=6 and y<=-6	$x + y \leq 6$ and $y \leq - 6$
216321	Solve for x	3/5x+1/5(40-x)=0	$\frac{3}{5} x + \frac{1}{5} (40 - x) = 0$
216322	Solve for Y	w=2YZ+2YX	$w = 2 Y Z + 2 Y X$
216323	Simplify	square root of 4x^4+36x^2+81	$\sqrt{4 x^{4} + 36 x^{2} + 81}$
216324	Simplify	(8/(5^3))^2	${(\frac{8}{5^{3}})}^{2}$
216325	Simplify	fourth root of 256x^9* square root of 64x^11	$\sqrt[4]{256 x^{9}} \cdot \sqrt{64 x^{11}}$
216326	Graph	(1/2,1)	$(\frac{1}{2}, 1)$
216327	Evaluate	(\|-5\|)/(-5^2)	$\frac{\| - 5 \|}{- 5^{2}}$
216328	Simplify	2x^2-1 from 4x^2+2	$2 x^{2} - 1$ from $4 x^{2} + 2$
216329	Simplify	((7x+28)/(2x))÷((12+3x)/6)	$\frac{7 x + 28}{2 x} \div \frac{12 + 3 x}{6}$
216330	Evaluate	find the exact value of cos((5pi)/12)	find the exact value of $\cos (\frac{5 π}{12})$
216331	Solve for w	8/(4w-24)-1=2/(w-6)	$\frac{8}{4 w - 24} - 1 = \frac{2}{w - 6}$
216332	Simplify	(2x^2+3)/(x^2+1)+(2x^2+1)/(x^2+1)	$\frac{2 x^{2} + 3}{x^{2} + 1} + \frac{2 x^{2} + 1}{x^{2} + 1}$
216333	Divide	((x^2-5x-6)/(5x+15))÷((x^2-3x-4)/(7x+21))	$\frac{x^{2} - 5 x - 6}{5 x + 15} \div \frac{x^{2} - 3 x - 4}{7 x + 21}$
216334	Find the Domain and Range	x-4y=10	$x - 4 y = 10$
216335	Evaluate	(3x^-6y^-3)/(15x^2y^10)	$\frac{3 x^{- 6} y^{- 3}}{15 x^{2} y^{10}}$
216336	Find the Exact Value	2^0+3^0+4^0	$2^{0} + 3^{0} + 4^{0}$
216337	Solve the Absolute Value Inequality for x	\|x+4\|=0	$\| x + 4 \| = 0$
216338	Simplify	square root of x^2-6x+9x^2-6x+9	$\sqrt{x^{2} - 6 x + 9 x^{2} - 6 x + 9}$
216339	Simplify the Radical Expression	(x^3)/( square root of x)	$\frac{x^{3}}{\sqrt{x}}$
216340	Solve for x	y=(2x-4)/(x-5)	$y = \frac{2 x - 4}{x - 5}$
216341	Write the Fraction in Simplest Form	((2v^-4t^-1)^-5)/(4v^-1t)	$\frac{{(2 v^{- 4} t^{- 1})}^{- 5}}{4 v^{- 1} t}$
216342	Solve for a	b=2/5(a-9)	$b = \frac{2}{5} (a - 9)$
216343	Solve the Inequality for x	8x<=2/5(10x+20)	$8 x \leq \frac{2}{5} (10 x + 20)$
216344	Find the Holes in the Graph	f(x)=(2x^3+10x^2+8x)/(x^3+7x^2+12x)	$f (x) = \frac{2 x^{3} + 10 x^{2} + 8 x}{x^{3} + 7 x^{2} + 12 x}$
216345	Graph	f(x) = log base 3 of x/3	$f (x) = \log_{3} (\frac{x}{3})$
216346	Evaluate	5/x-3/(2x)=7/6	$\frac{5}{x} - \frac{3}{2 x} = \frac{7}{6}$
216347	Solve for v	m=m_0/( square root of 1-((v^2)/(c^2)))	$m = \frac{m_{0}}{\sqrt{1 - (\frac{v^{2}}{c^{2}})}}$
216348	Evaluate	(2x-7)^3=(2x)^3-7^3	${(2 x - 7)}^{3} = {(2 x)}^{3} - 7^{3}$
216349	Solve the Inequality for x	(x^3-4x)/(x^2+2)<=0	$\frac{x^{3} - 4 x}{x^{2} + 2} \leq 0$
216350	Solve the System of Equations	2x-y+10z=3 x+y+6z=-2 x-y+2z=0	$2 x - y + 10 z = 3$ $x + y + 6 z = - 2$ $x - y + 2 z = 0$
216351	Solve the Inequality for x	(x^2-4)/(x^2+36)<=0	$\frac{x^{2} - 4}{x^{2} + 36} \leq 0$
216352	Simplify the Radical Expression	2 square root of 27*5 square root of 3	$2 \sqrt{27} \cdot 5 \sqrt{3}$
216353	Find the Degree	xy+x	$x y + x$
216354	Subtract	-5x^2-9x+8-6x^2+5	$- 5 x^{2} - 9 x + 8 - 6 x^{2} + 5$
216355	Evaluate	((b^x)^y)^z	${({(b^{x})}^{y})}^{z}$
216356	Solve for g	g=25-3*4	$g = 25 - 3 \cdot 4$
216357	Solve the System of Equations	x+y+z=3 2x-y+2z=6 3x+2y-z=13	$x + y + z = 3$ $2 x - y + 2 z = 6$ $3 x + 2 y - z = 13$
216358	Simplify	(4 square root of 3)/5-( square root of 3)/5+3/5 square root of 3	$\frac{4 \sqrt{3}}{5} - \frac{\sqrt{3}}{5} + \frac{3}{5} \sqrt{3}$
216359	Simplify	(-2a^6bc^3)^2*-5ab^2	${(- 2 a^{6} b c^{3})}^{2} \cdot - 5 a b^{2}$
216360	Simplify	square root of x^2yz^3* square root of x^3z^5	$\sqrt{x^{2} y z^{3}} \cdot \sqrt{x^{3} z^{5}}$
216361	Solve for x	6/x-1=4/(x-2)	$\frac{6}{x} - 1 = \frac{4}{x - 2}$
216362	Solve for x	x+3y=2 4x-3y=23	$x + 3 y = 2$ $4 x - 3 y = 23$
216363	Find the Second Term	a_n=1/8+2/3n	$a_{n} = \frac{1}{8} + \frac{2}{3} n$
216364	Simplify	(2(x+4x+y))/4	$\frac{2 (x + 4 x + y)}{4}$
216365	Solve for x	x(x-2)+x-2=0	$x (x - 2) + x - 2 = 0$
216366	Simplify the Radical Expression	( square root of 7)/( square root of 3- square root of 2)	$\frac{\sqrt{7}}{\sqrt{3} - \sqrt{2}}$
216367	Find All Complex Solutions	9a^2+25a+16=a	$9 a^{2} + 25 a + 16 = a$
216368	Solve the System of Inequalities	3m-12>30 and -6m>=24	$3 m - 12 > 30$ and $- 6 m \geq 24$
216369	Solve for M	square root of 2M=4	$\sqrt{2 M} = 4$
216370	Multiply	-2a^2(7a^2+a-5)	$- 2 a^{2} (7 a^{2} + a - 5)$
216371	Simplify	-1/3+2	$- \frac{1}{3} + 2$
216372	Find the LCM	12 and 8	$12$ and $8$
216373	Solve for x	7^x> cube root of 7	$7^{x} > \sqrt[3]{7}$
216374	Find the x and y Intercepts	f(x)=2 natural log of x-3	$f (x) = 2 \ln (x - 3)$
216375	Solve the Inequality for x	7*\|x+2\|+5>4	$7 \cdot \| x + 2 \| + 5 > 4$
216376	Solve the Inequality for W	W+6<=-3	$W + 6 \leq - 3$
216377	Simplify	3(x+2)=(5)	$3 (x + 2) = (5)$
216378	Evaluate	(1/3)^2+(9/10)^-1	${(\frac{1}{3})}^{2} + {(\frac{9}{10})}^{- 1}$
216379	Expand the Logarithmic Expression	log of (y^3)/( square root of z^3x^2)	$\log (\frac{y^{3}}{\sqrt{z^{3} x^{2}}})$
216380	Simplify	( fourth root of 4)^4	${(\sqrt[4]{4})}^{4}$
216381	Find the Product	(x^2-2x-8)(-x^2+3x-5)	$(x^{2} - 2 x - 8) (- x^{2} + 3 x - 5)$
216382	Solve for y	2y-3(2y-3)+2=31	$2 y - 3 (2 y - 3) + 2 = 31$
216383	Find All Complex Solutions	4(3-x)^(4/3)-5=59	$4 {(3 - x)}^{\frac{4}{3}} - 5 = 59$
216384	Simplify	((3x^4y^6)/(4x^-1y^3))^2	${(\frac{3 x^{4} y^{6}}{4 x^{- 1} y^{3}})}^{2}$
216385	Simplify	5 square root of square root of x^8	$5 \sqrt{\sqrt{x^{8}}}$
216386	Solve the Inequality for x	(\|x+9\|)/4>2	$\frac{\| x + 9 \|}{4} > 2$
216387	Evaluate	(tan(1)-1)/(1^3)	$\frac{\tan (1) - 1}{1^{3}}$
216388	Evaluate	1/(tan(x))	$\frac{1}{\tan (x)}$
216389	Divide Using Long Polynomial Division	(2x^3+11x^2-20)÷(x^2+x-2)	$(2 x^{3} + 11 x^{2} - 20) \div (x^{2} + x - 2)$
216390	Simplify	2 square root of 5(3 square root of 3+6 square root of 2)x^3	$2 \sqrt{5} (3 \sqrt{3} + 6 \sqrt{2}) x^{3}$
216391	Simplify	((x^-2)^2)/((3y^-2)^3)	$\frac{{(x^{- 2})}^{2}}{{(3 y^{- 2})}^{3}}$
216392	Convert to Polar	z=(5 square root of 3)/4-5/4i	$z = \frac{5 \sqrt{3}}{4} - \frac{5}{4} i$
216393	Evaluate	csc(180 degrees )	$\csc (180 °)$
216394	Write in Standard Form	(x+2)^2(x-1)^2	${(x + 2)}^{2} {(x - 1)}^{2}$
216395	Simplify	(3/(x^-22))^-3	${(\frac{3}{x^{- 22}})}^{- 3}$
216396	Solve for v	-10 square root of v/8=-40	$- 10 \sqrt{\frac{v}{8}} = - 40$
216397	Reduce	square root of 224	$\sqrt{224}$
216398	Solve for x	natural log of x=x-2	$\ln (x) = x - 2$
216399	Solve for x	(x^2+x-12)/(x^2-4x+4)>0	$\frac{x^{2} + x - 12}{x^{2} - 4 x + 4} > 0$
216400	Solve for x	log base 4 of 4x^2+7- log base 4 of 2x+1=1	$\log_{4} (4 x^{2} + 7) - \log_{4} (2 x + 1) = 1$