Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
221201	Find the Degree, Leading Term, and Leading Coefficient	9-x^2+2x^5-7x	$9 - x^{2} + 2 x^{5} - 7 x$
221202	Solve the Inequality for x	-5x^2-14x+1<=-10x	$- 5 x^{2} - 14 x + 1 \leq - 10 x$
221203	Evaluate	((3^2)/2-(1+4))÷0.5	$(\frac{3^{2}}{2} - (1 + 4)) \div 0.5$
221204	Simplify	(4x^6+8x^3)/(4x^2)	$\frac{4 x^{6} + 8 x^{3}}{4 x^{2}}$
221205	Solve the Inequality for x	2x^2+11x+7>=2x	$2 x^{2} + 11 x + 7 \geq 2 x$
221206	Solve the System of Equations	x=11 -4x+y=-23	$x = 11$ $- 4 x + y = - 23$
221207	Solve the System of Inequalities	x<3 and x>-2	$x < 3$ and $x > - 2$
221208	Simplify	(2 square root of 3)/-2	$\frac{2 \sqrt{3}}{- 2}$
221209	Simplify/Condense	1/3* natural log of 64- natural log of 12	$\frac{1}{3} \cdot \ln (64) - \ln (12)$
221210	Convert to Interval Notation	-1/2<=(4-3x)/5<=1/4	$- \frac{1}{2} \leq \frac{4 - 3 x}{5} \leq \frac{1}{4}$
221211	Solve for x	log base 5 of x+4+ log base 5 of x = log base 5 of 12	$\log_{5} (x + 4) + \log_{5} (x) = \log_{5} (12)$
221212	Solve for x	-7x-4x=8-2x-8x	$- 7 x - 4 x = 8 - 2 x - 8 x$
221213	Factor	30y^4z^3x^5+50y^4z^5-10y^4z^3x	$30 y^{4} z^{3} x^{5} + 50 y^{4} z^{5} - 10 y^{4} z^{3} x$
221214	Solve the Inequality for x	-5x^2-3x<=10x+6	$- 5 x^{2} - 3 x \leq 10 x + 6$
221215	Find the Roots (Zeros)	x^4-8x^3+24x^2-32x+16=0	$x^{4} - 8 x^{3} + 24 x^{2} - 32 x + 16 = 0$
221216	Find the Domain and Range	y=-8/27sec((pix)/12- square root of 9)-28	$y = - \frac{8}{27} \sec (\frac{π x}{12} - \sqrt{9}) - 28$
221217	Solve in Terms of the Arbitrary Variable n	s_n=-26240 , n=8 , r=-3	$s_{n} = - 26240$ , $n = 8$ , $r = - 3$
221218	Solve the System of Equations	5x+9y=31 and -2x-y=11	$5 x + 9 y = 31$ and $- 2 x - y = 11$
221219	Solve for p	3(p+2.55)=9 3/4	$3 (p + 2.55) = 9 \frac{3}{4}$
221220	Find the LCM	25x^2+40x+16 and 25x^2-16	$25 x^{2} + 40 x + 16$ and $25 x^{2} - 16$
221221	Evaluate the Function	f(-1)=1/(2^x)-7	$f (- 1) = \frac{1}{2^{x}} - 7$
221222	Simplify	(3 log of 2)/( log of 4+ log of 3)	$\frac{3 \log (2)}{\log (4) + \log (3)}$
221223	Find the Exact Value	cot(- square root of 3)	$\cot (- \sqrt{3})$
221224	Simplify	(((v-7)(v+8))/((v+8)(v-10)))÷(1/(v-10))	$\frac{(v - 7) (v + 8)}{(v + 8) (v - 10)} \div \frac{1}{v - 10}$
221225	Evaluate	6^2-5+4÷5*1	$6^{2} - 5 + 4 \div 5 \cdot 1$
221226	Graph	3x-5y=-15 y=4/5x+4	$3 x - 5 y = - 15$ $y = \frac{4}{5} x + 4$
221227	Simplify	(6/(28x+4))÷(12/(35x+5))	$\frac{6}{28 x + 4} \div \frac{12}{35 x + 5}$
221228	Evaluate	13+((4^3)÷2)*5-17	$13 + (4^{3} \div 2) \times 5 - 17$
221229	Evaluate	(-5^7)÷(-5^2)	$- 5^{7} \div (- 5^{2})$
221230	Convert to Logarithmic Form	1/64=t^x	$\frac{1}{64} = t^{x}$
221231	Evaluate	i^48*i^35	$i^{48} \cdot i^{35}$
221232	Simplify the Radical Expression	cube root of 24 cube root of 18	$\sqrt[3]{24} \sqrt[3]{18}$
221233	Divide Using Long Polynomial Division	Use the long division method to find the result when 4x^3-22x^2+11x-5 is divided by x-5	Use the long division method to find the result when $4 x^{3} - 22 x^{2} + 11 x - 5$ is divided by $x - 5$
221234	Evaluate	mg=w	$mg = w$
221235	Simplify	(2x^2y^-3z^4)/(6x^2yz^3)	$\frac{2 x^{2} y^{- 3} z^{4}}{6 x^{2} y z^{3}}$
221236	Simplify	(81^(1/2)-9^(1/2))^2	${(81^{\frac{1}{2}} - 9^{\frac{1}{2}})}^{2}$
221237	Simplify	e^(4/3 natural log of 2-1)	$e^{\frac{4}{3} \ln (2) - 1}$
221238	Divide Using Long Polynomial Division	Use the long division method to find the result when 3x^3+5x^2+11x+6 is divided by 3x+2	Use the long division method to find the result when $3 x^{3} + 5 x^{2} + 11 x + 6$ is divided by $3 x + 2$
221239	Divide	(-5/7)÷(-1/3)	$\frac{- 5}{7} \div \frac{- 1}{3}$
221240	Find the Roots (Zeros)	P(x)=2x^3+x^2+2x+1	$P (x) = 2 x^{3} + x^{2} + 2 x + 1$
221241	Determine if a Polynomial	(d^4)/c	$\frac{d^{4}}{c}$
221242	Solve the Rational Equation for x	(x+3)/(3x-2)-(x-3)/(3x+2)=44/(9x^2-4)	$\frac{x + 3}{3 x - 2} - \frac{x - 3}{3 x + 2} = \frac{44}{9 x^{2} - 4}$
221243	Simplify	2x(y^2+3xy+4x+3)	$2 x (y^{2} + 3 x y + 4 x + 3)$
221244	Evaluate	4(3/2)^-1	$4 {(\frac{3}{2})}^{- 1}$
221245	Solve for g	3<=7+g	$3 \leq 7 + g$
221246	Simplify	-1/9x+3/9x	$- \frac{1}{9} x + \frac{3}{9} x$
221247	Simplify	-3/(9x^2-4)+1/(3x^2+2x)	$\frac{- 3}{9 x^{2} - 4} + \frac{1}{3 x^{2} + 2 x}$
221248	Simplify	((3x+2)/(4x))÷((x+5)/8)	$(\frac{3 x + 2}{4 x}) \div (\frac{x + 5}{8})$
221249	Simplify	( square root of 2)/2* square root of 2	$\frac{\sqrt{2}}{2} \cdot \sqrt{2}$
221250	Solve the System of Equations	x+2z=30 y+z=12 z=1	$x + 2 z = 30$ $y + z = 12$ $z = 1$
221251	Find the Exact Value	\|-2i\|	$\| - 2 i \|$
221252	Solve for x	(3x)/2=1+(4x)/3	$\frac{3 x}{2} = 1 + \frac{4 x}{3}$
221253	Simplify the Radical Expression	(6 square root of 15)÷2 square root of 5	$6 \sqrt{15} \div 2 \sqrt{5}$
221254	Find the Product	(2x+y)(3x^2+y)	$(2 x + y) (3 x^{2} + y)$
221255	Simplify	(125^(1/3))/(125^(2/3))	$\frac{125^{\frac{1}{3}}}{125^{\frac{2}{3}}}$
221256	Solve for x	10^(2x+1)+2=2	$10^{2 x + 1} + 2 = 2$
221257	Solve for x	(x-5)1/2+5=2	$(x - 5) \frac{1}{2} + 5 = 2$
221258	Solve for x	x^2-1/2x-35/16=0	$x^{2} - \frac{1}{2} x - \frac{35}{16} = 0$
221259	Simplify the Radical Expression	3^-2	$3^{- 2}$
221260	Identify the Zeros and Their Multiplicities	y=(x^2-5)(x-1)^2(x-2)^3	$y = (x^{2} - 5) {(x - 1)}^{2} {(x - 2)}^{3}$
221261	Simplify	1/2( square root of 74)( square root of 74)	$\frac{1}{2} (\sqrt{74}) (\sqrt{74})$
221262	Solve for t	(cos(t)-3)(2sin(t)^2-1)=0	$(\cos (t) - 3) (2 \sin^{2} (t) - 1) = 0$
221263	Simplify	(2 square root of 3-x)/(4 cube root of 3-x)	$\frac{2 \sqrt{3 - x}}{4 \sqrt[3]{3 - x}}$
221264	Find the Slope and y-intercept	2/3x=3/5y+2	$\frac{2}{3} x = \frac{3}{5} y + 2$
221265	Write as a Single Logarithm	log of x+ log of y-2 log of z	$\log (x) + \log (y) - 2 \log (z)$
221266	Find the Excluded Values	(x+12)/(2x-5)-(3x-2)/(2x-5)	$\frac{x + 12}{2 x - 5} - \frac{3 x - 2}{2 x - 5}$
221267	Solve the System of Equations	3x+2y=2 and y=-1.5x+1	$3 x + 2 y = 2$ and $y = - 1.5 x + 1$
221268	Solve the Inequality for a	\|4a+1\|>5	$\| 4 a + 1 \| > 5$
221269	Simplify	(csc(theta)^2)/(sec(theta)^2)	$\frac{\csc^{2} (θ)}{\sec^{2} (θ)}$
221270	Solve for x	-1/6x-5=2/3x	$- \frac{1}{6} x - 5 = \frac{2}{3} x$
221271	Solve the Inequality for x	\|x-4\|<=0	$\| x - 4 \| \leq 0$
221272	Divide Using Long Polynomial Division	Use the long division method to find the result when 6x^3+20x^2+15x+3 is divided by 3x+1	Use the long division method to find the result when $6 x^{3} + 20 x^{2} + 15 x + 3$ is divided by $3 x + 1$
221273	Graph Using a Table of Values	f(x)=-3(3)^x+7	$f (x) = - 3 {(3)}^{x} + 7$
221274	Solve by Graphing	x-15=5 or 2x+5=1	$x - 15 = 5$ or $2 x + 5 = 1$
221275	Simplify	fifth root of 1/8 fifth root of 1/4	$\sqrt[5]{\frac{1}{8}} \sqrt[5]{\frac{1}{4}}$
221276	Solve the Inequality for g	\|(2g+3)/2\|>-7	$\| \frac{2 g + 3}{2} \| > - 7$
221277	Solve for x	(2x+3)^2-14x-21=-6	${(2 x + 3)}^{2} - 14 x - 21 = - 6$
221278	Solve the System of Equations	x=1 y=2	$x = 1$ $y = 2$
221279	Write in Standard Form	-2(3x+1)(x+2)(x-3)	$- 2 (3 x + 1) (x + 2) (x - 3)$
221280	Evaluate	( log base 2 of 5)	$(\log_{2} (5))$
221281	Evaluate	4+8÷2*(6-3)	$4 + 8 \div 2 \times (6 - 3)$
221282	Graph Using a Table of Values	f(x)=-3(1/2)^(x+4)	$f (x) = - 3 {(\frac{1}{2})}^{x + 4}$
221283	Simplify	x^2x^-5x	$x^{2} \cdot x^{- 5} \cdot x$
221284	Find the Holes in the Graph	y=(4x^2+12x)/(x+7)	$y = \frac{4 x^{2} + 12 x}{x + 7}$
221285	Simplify	3^(3+6)	$3^{3 + 6}$
221286	Solve for a	1/6(12a)^(1/3)=1	$\frac{1}{6} {(12 a)}^{\frac{1}{3}} = 1$
221287	Simplify	(7x^2)(x^5)(3x)	$(7 x^{2}) (x^{5}) (3 x)$
221288	Factor	x^3+x^2-2x=0	$x^{3} + x^{2} - 2 x = 0$
221289	Find All Complex Solutions	x^4=-16	$x^{4} = - 16$
221290	Evaluate the Function	f(x)=1/(2^(x+2))+4	$f (x) = \frac{1}{2^{x + 2}} + 4$
221291	Write in Standard Form	f(x)=15x+5/3+2/3x^2	$f (x) = 15 x + \frac{5}{3} + \frac{2}{3} x^{2}$
221292	Solve for p	2(12p+28)^(1/4)-15=-7	$2 {(12 p + 28)}^{\frac{1}{4}} - 15 = - 7$
221293	Divide	(12x^6+54x)/6	$\frac{12 x^{6} + 54 x}{6}$
221294	Solve the Inequality for v	5+\|3v\|>20	$5 + \| 3 v \| > 20$
221295	Evaluate	27^(1/3)=3	$27^{\frac{1}{3}} = 3$
221296	Solve for x	3 3/4x-(1/2x+3/4x-1/4)=1 3/4x+1	$3 \frac{3}{4} x - (\frac{1}{2} x + \frac{3}{4} x - \frac{1}{4}) = 1 \frac{3}{4} x + 1$
221297	Solve the Inequality for x	(4x-5)/-0.75>8x-7	$\frac{4 x - 5}{- 0.75} > 8 x - 7$
221298	Find f(g(x))	f(x)=x+11 g(x)=2x^2-x-6	$f (x) = x + 11$ $g (x) = 2 x^{2} - x - 6$
221299	Evaluate	(1^0)/2	$\frac{1^{0}}{2}$
221300	Solve for n	t(n)=-8-7(n-1)	$t (n) = - 8 - 7 (n - 1)$