Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
214701	Find the Degree, Leading Term, and Leading Coefficient	h(x)=-x^3+2x^2-15x^7	$h (x) = - x^{3} + 2 x^{2} - 15 x^{7}$
214702	Evaluate	(3a^3-15a^2b+12ab^2)/(3a^2b)	$\frac{3 a^{3} - 15 a^{2} b + 12 a b^{2}}{3 a^{2} b}$
214703	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-5,4) and has a slope of -3/5 ?	What is the equation of the line that passes through the point $(- 5, 4)$ and has a slope of $- \frac{3}{5}$ ?
214704	Find the Domain and Range	f(x)=3(1/2)^(x-1)+2	$f (x) = 3 {(\frac{1}{2})}^{x - 1} + 2$
214705	Solve the Inequality for x	0<x<=3	$0 < x \leq 3$
214706	Divide Using Long Polynomial Division	(6w^3+7w^2-12w+15)/(2w^2+3w-5)	$\frac{6 w^{3} + 7 w^{2} - 12 w + 15}{2 w^{2} + 3 w - 5}$
214707	Evaluate	10+(12÷4)*2^2	$10 + (12 \div 4) \cdot 2^{2}$
214708	Evaluate	2 1/6-1 2/9÷3 2/3	$2 \frac{1}{6} - 1 \frac{2}{9} \div 3 \frac{2}{3}$
214709	Convert to a Decimal	3.5rad	$3.5$ radians
214710	Solve the Inequality for t	-6t+5>-7	$- 6 t + 5 > - 7$
214711	Simplify	(x/(x+1)+1)*(1+x)/(2x-1)	$(\frac{x}{x + 1} + 1) \cdot \frac{1 + x}{2 x - 1}$
214712	Graph	y=(x+3)^2(2x+1)(2-x)	$y = {(x + 3)}^{2} (2 x + 1) (2 - x)$
214713	Solve the System of Equations	x=-4y x+5y=2	$x = - 4 y$ $x + 5 y = 2$
214714	Solve for x	2 natural log of 4x-1 = natural log of 23x+3	$2 \ln (4 x - 1) = \ln (23 x + 3)$
214715	Rationalize the Denominator	1/(( square root of 3)/2)	$\frac{1}{\frac{\sqrt{3}}{2}}$
214716	Simplify the Radical Expression	square root of 2x- square root of 8x^3+3 square root of 18x	$\sqrt{2 x} - \sqrt{8 x^{3}} + 3 \sqrt{18 x}$
214717	Solve the Rational Equation for x	6^(1/3)*6^(1/4)=6^(x/y)	$6^{\frac{1}{3}} \cdot 6^{\frac{1}{4}} = 6^{\frac{x}{y}}$
214718	Solve for x	log base 6 of 3x-11+ log base 6 of 2 = log base 6 of 4x-8	$\log_{6} (3 x - 11) + \log_{6} (2) = \log_{6} (4 x - 8)$
214719	Graph	y=1/2x+3 x=-6	$y = \frac{1}{2} x + 3$ $x = - 6$
214720	Find the Exact Value	0.4-2(3.6-2.09)+5	$0.4 - 2 (3.6 - 2.09) + 5$
214721	Simplify	3/( square root of 2- square root of y)	$\frac{3}{\sqrt{2} - \sqrt{y}}$
214722	Simplify	(6q^4-3q^2)÷2q^2	$(6 q^{4} - 3 q^{2}) \div 2 q^{2}$
214723	Graph	H(x)=0 if x<0; 1 if x>=0	$H (x) = {\begin{cases} 0 & x < 0 \\ 1 & x \geq 0 \end{cases}$
214724	Solve for n	(2n)/-4=8	$\frac{2 n}{- 4} = 8$
214725	Convert to Radical Form	16^(1/4)*16^(1/4)	$16^{\frac{1}{4}} \cdot 16^{\frac{1}{4}}$
214726	Factor by Grouping	3m-mk+3k-k^2	$3 m - m k + 3 k - k^{2}$
214727	Simplify	((6 square root of x-x square root of 6)/(6x))/(x-6)	$\frac{(\frac{6 \sqrt{x} - x \sqrt{6}}{6 x})}{x - 6}$
214728	Solve for y	y/x+(2y)/(x+4)=3	$\frac{y}{x} + \frac{2 y}{x + 4} = 3$
214729	Simplify	2(x+7)-18x+4/5	$2 (x + 7) - 18 x + \frac{4}{5}$
214730	Simplify	(2x^(-1/4)y^(3/4))^4	${(2 x^{- \frac{1}{4}} y^{\frac{3}{4}})}^{4}$
214731	Solve the Inequality for x	3\|x+5\|-16<=-7	$3 \| x + 5 \| - 16 \leq - 7$
214732	Solve for x	12-((2x)/3+x)=2	$12 - (\frac{2 x}{3} + x) = 2$
214733	Simplify	((3^-1)/(3^-2))^-1	${(\frac{3^{- 1}}{3^{- 2}})}^{- 1}$
214734	Find the LCD	3/(4x) , 7/6 , 17/(18x)	$\frac{3}{4 x}$ , $\frac{7}{6}$ , $\frac{17}{18 x}$
214735	Multiply	2*2/8	$2 \cdot \frac{2}{8}$
214736	Simplify the Radical Expression	3/( square root of 3-1)	$\frac{3}{\sqrt{3} - 1}$
214737	Evaluate	square root of z* square root of 30z^2* square root of 35z^3	$\sqrt{z} \cdot \sqrt{30 z^{2}} \cdot \sqrt{35 z^{3}}$
214738	Solve for d	p(x)=x^4-dx^3+8x^2-14x+16	$p (x) = x^{4} - d x^{3} + 8 x^{2} - 14 x + 16$
214739	Simplify	-7 2/3+(-5 1/2)+8 3/4	$- 7 \frac{2}{3} + (- 5 \frac{1}{2}) + 8 \frac{3}{4}$
214740	Evaluate	square root of 3^2+-4^2	$\sqrt{3^{2} + - 4^{2}}$
214741	Graph	1/(1-x^2)	$\frac{1}{1 - x^{2}}$
214742	Simplify	12(1/4+2/3r)	$12 (\frac{1}{4} + \frac{2}{3} r)$
214743	Solve for x	1/(x+5)+x/(5-x)=(3x+7)/(x^2-25)	$\frac{1}{x + 5} + \frac{x}{5 - x} = \frac{3 x + 7}{x^{2} - 25}$
214744	Solve for x	(2x)/5=1/5+6/(x+3)	$\frac{2 x}{5} = \frac{1}{5} + \frac{6}{x + 3}$
214745	Solve for x	1/4x^3=2	$\frac{1}{4} x^{3} = 2$
214746	Factor	f(x)=x^4-6x^3-8x+48	$f (x) = x^{4} - 6 x^{3} - 8 x + 48$
214747	Simplify the Radical Expression	fourth root of 243a^6b^8c^9	$\sqrt[4]{243 a^{6} b^{8} c^{9}}$
214748	Simplify	square root of 8a^7b^5* square root of 2a^3b^3	$\sqrt{8 a^{7} b^{5}} \cdot \sqrt{2 a^{3} b^{3}}$
214749	Identify the Zeros and Their Multiplicities	V(t)=-t(t+2)^2(t-3)	$V (t) = - t {(t + 2)}^{2} (t - 3)$
214750	Simplify	(1/2x^3+y^4)+(3/2x^4y^3-11/4x^3+5/2y^4)	$(\frac{1}{2} x^{3} + y^{4}) + (\frac{3}{2} x^{4} y^{3} - \frac{11}{4} x^{3} + \frac{5}{2} y^{4})$
214751	Convert to a Percentage	15/25*100%	$\frac{15}{25} \cdot 100 %$
214752	Subtract	(14p^4+11p^2-9p^5)-(-14+5p^5-11p^2)	$(14 p^{4} + 11 p^{2} - 9 p^{5}) - (- 14 + 5 p^{5} - 11 p^{2})$
214753	Solve for θ	(tan(theta)-1)(cos(theta)-1)=0	$(\tan (θ) - 1) (\cos (θ) - 1) = 0$
214754	Simplify	9 square root of 7y-14 square root of 2x+23 square root of 2x-15 square root of 7y	$9 \sqrt{7 y} - 14 \sqrt{2 x} + 23 \sqrt{2 x} - 15 \sqrt{7 y}$
214755	Simplify the Radical Expression	-3 square root of 100ab^6	$- 3 \sqrt{100 a b^{6}}$
214756	Simplify	(30x^5y^3z)/(6x^3y^2z)	$\frac{30 x^{5} y^{3} z}{6 x^{3} y^{2} z}$
214757	Factor	x^(5/3)-9x^(-1/3)	$x^{\frac{5}{3}} - 9 x^{- \frac{1}{3}}$
214758	Divide Using Synthetic Division	Use synthetic division to find the result when x^4+x^3+3x^2-16x-4 is divided by x-2	Use synthetic division to find the result when $x^{4} + x^{3} + 3 x^{2} - 16 x - 4$ is divided by $x - 2$
214759	Solve for X	24^2+X^2=30^2	$24^{2} + X^{2} = 30^{2}$
214760	Solve for x	-646=-3(65-x)^(3/2)+2	$- 646 = - 3 {(65 - x)}^{\frac{3}{2}} + 2$
214761	Multiply	3(-2/11)	$3 (- \frac{2}{11})$
214762	Simplify	((32)^5)÷(3^22^3)	${(3 \cdot 2)}^{5} \div (3^{2} \cdot 2^{3})$
214763	Multiply	square root of 81* square root of 36	$\sqrt{81} \cdot \sqrt{36}$
214764	Solve for x	((x-3)^3)/3+5=14	$\frac{{(x - 3)}^{3}}{3} + 5 = 14$
214765	Solve for f	f-2 = square root of f+4	$f - 2 = \sqrt{f + 4}$
214766	Solve for n	n+-6=11	$n + - 6 = 11$
214767	Find the LCD	4/(3(x-3)) , 11/(3x) , 8/9	$\frac{4}{3 (x - 3)}$ , $\frac{11}{3 x}$ , $\frac{8}{9}$
214768	Simplify	(9x^8y^5z^-2)/(21xy^9z^4)	$\frac{9 x^{8} y^{5} z^{- 2}}{21 x y^{9} z^{4}}$
214769	Solve the System of Equations	x=6 y=-x-4	$x = 6$ $y = - x - 4$
214770	Simplify the Radical Expression	(-3)^(1/3)(-3)^(1/3)(-3)^(1/3)	${(- 3)}^{\frac{1}{3}} {(- 3)}^{\frac{1}{3}} {(- 3)}^{\frac{1}{3}}$
214771	Solve the System of Equations	y=-x^2+13x-40 x+y=5	$y = - x^{2} + 13 x - 40$ $x + y = 5$
214772	Solve for x	3^(165x-1)=( square root of k)^x	$3^{165 x - 1} = {(\sqrt{k})}^{x}$
214773	Graph	x<4 and x>-1	$x < 4$ and $x > - 1$
214774	Solve for x	cos(2x)^2=sin(x)^2	$\cos^{2} (2 x) = \sin^{2} (x)$
214775	Find the Axis of Symmetry	x=y^2	$x = y^{2}$
214776	Simplify	(-28a^6b^-3c^5)/(7a^11b^-5c^5)	$\frac{- 28 a^{6} b^{- 3} c^{5}}{7 a^{11} b^{- 5} c^{5}}$
214777	Solve for x	5(3(x+2)+4)+2x=67	$5 (3 (x + 2) + 4) + 2 x = 67$
214778	Evaluate the Function	g(1+h)=(1+h)^3	$g (1 + h) = {(1 + h)}^{3}$
214779	Simplify	2ab+4ac-5c+-6c+7ab	$2 a b + 4 a c - 5 c + - 6 c + 7 a b$
214780	Simplify	(2^(x+3)+2^(x+1)-2^x)/(2^x*2+2^x)	$\frac{2^{x + 3} + 2^{x + 1} - 2^{x}}{2^{x} \cdot 2 + 2^{x}}$
214781	Evaluate	3168*1/(2pi)	$3168 \cdot \frac{1}{2 π}$
214782	Graph	x^2+y^2-4y>0	$x^{2} + y^{2} - 4 y > 0$
214783	Find the Intersection	[-2,4] intersect [4,infinity)	$[- 2, 4] \cap [4, \infty)$
214784	Simplify	5^2*(5^6)/(5^-6)	$5^{2} \cdot \frac{5^{6}}{5^{- 6}}$
214785	Solve the Rational Equation for x	square root of x-8+ square root of x=4	$\sqrt{x - 8} + \sqrt{x} = 4$
214786	Simplify	3x^44x^-2x^3	$3 x^{4} \cdot 4 x^{- 2} \cdot x^{3}$
214787	Evaluate	(5p^2-3)+(2p^2-3p^3)	$(5 p^{2} - 3) + (2 p^{2} - 3 p^{3})$
214788	Find the End Behavior	y=2x^3+3x^2-4x-6	$y = 2 x^{3} + 3 x^{2} - 4 x - 6$
214789	Solve by Graphing	-2x+4y=1 3x-6y=9	$- 2 x + 4 y = 1$ $3 x - 6 y = 9$
214790	Simplify	(n^2-7)(2n^3+4)	$(n^{2} - 7) (2 n^{3} + 4)$
214791	Find the Sum and Product of the Roots of the Quadratic Equation	1/2x^2-5/4x-3=0	$\frac{1}{2} x^{2} - \frac{5}{4} x - 3 = 0$
214792	Simplify	(a^(2/3)b-1/2)^-6	${(a^{\frac{2}{3}} b - \frac{1}{2})}^{- 6}$
214793	Solve for h	square root of h+3=7	$\sqrt{h + 3} = 7$
214794	Find the Roots (Zeros)	x^3+3x^2-9x=27	$x^{3} + 3 x^{2} - 9 x = 27$
214795	Divide	(33x^5y^3+12x^4y^4-27x^3y^5-3x^2y^6)/(3x^3y^4)	$\frac{33 x^{5} y^{3} + 12 x^{4} y^{4} - 27 x^{3} y^{5} - 3 x^{2} y^{6}}{3 x^{3} y^{4}}$
214796	Solve for x	1/5=5^(2x+3)	$\frac{1}{5} = 5^{2 x + 3}$
214797	Solve the Rational Equation for x	square root of x-2 = square root of 3x+5	$\sqrt{x - 2} = \sqrt{3 x + 5}$
214798	Find the LCD	5/(6x+18) and 4/(3x)	$\frac{5}{6 x + 18}$ and $\frac{4}{3 x}$
214799	Find the Degree	-8c-9c^4d^2	$- 8 c - 9 c^{4} d^{2}$
214800	Simplify	(1/x-3)/(2+1/x)	$\frac{\frac{1}{x} - 3}{2 + \frac{1}{x}}$