Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
204701	Simplify the Radical Expression	square root of 5^9	$\sqrt{5^{9}}$
204702	Find the End Behavior	f(x)=-960x^2+60x^4+6x^6+42x^5-1248x-240x^3-576	$f (x) = - 960 x^{2} + 60 x^{4} + 6 x^{6} + 42 x^{5} - 1248 x - 240 x^{3} - 576$
204703	Solve for x	2^(4(x-3))=16^(x+1)	$2^{4 (x - 3)} = 16^{x + 1}$
204704	Solve for x	3+(1/x-2)=27	$3 + (\frac{1}{x} - 2) = 27$
204705	Solve for m	cube root of m=3	$\sqrt[3]{m} = 3$
204706	Evaluate	square root of 10-x^2+6<\|10-x^2\|	$\sqrt{10 - x^{2}} + 6 < \| 10 - x^{2} \|$
204707	Solve for x	5(2x+4)-3(4x-6)=2(20-x)	$5 (2 x + 4) - 3 (4 x - 6) = 2 (20 - x)$
204708	Factor	(m-n)+s*(n-m)	$(m - n) + s \cdot (n - m)$
204709	Solve for x	(x-2)/5+3=12	$\frac{x - 2}{5} + 3 = 12$
204710	Determine if Dependent, Independent, or Inconsistent	3x+y=-5 3y+15=-9x	$3 x + y = - 5$ $3 y + 15 = - 9 x$
204711	Factor by Grouping	x^4+a^2x^2+b^2x^2+a^2b^2	$x^{4} + a^{2} x^{2} + b^{2} x^{2} + a^{2} b^{2}$
204712	Determine if a Polynomial	(x^4)/8-4x^2 square root of 2	$\frac{x^{4}}{8} - 4 x^{2} \sqrt{2}$
204713	Expand the Logarithmic Expression	log base 3 of fourth root of m^5n^2	$\log_{3} (\sqrt[4]{m^{5} n^{2}})$
204714	Find the Exact Value	sin(theta)+cos(theta)*cot(theta)	$\sin (θ) + \cos (θ) \cdot \cot (θ)$
204715	Simplify	7 cube root of 16* cube root of 8	$7 \sqrt[3]{16} \cdot \sqrt[3]{8}$
204716	Subtract	(4x^5-7x^3-9x^2+18)-(14x^5-8x^4+x^2+x)	$(4 x^{5} - 7 x^{3} - 9 x^{2} + 18) - (14 x^{5} - 8 x^{4} + x^{2} + x)$
204717	Evaluate	9^(8-x)=27^(x-3)	$9^{8 - x} = 27^{x - 3}$
204718	Simplify	((5^-2)/5)^4	${(\frac{5^{- 2}}{5})}^{4}$
204719	Simplify	2x^4yx*6xy^2z^3	$2 x^{4} y x \cdot 6 x y^{2} z^{3}$
204720	Simplify	4x(2(x-3)+5)	$4 x (2 (x - 3) + 5)$
204721	Evaluate	log base 2 of 3/25+5 log base 2 of 5+ log base 2 of 27- log base 2 of 125/12- log base 2 of 243	$\log_{2} (\frac{3}{25}) + 5 \log_{2} (5) + \log_{2} (27) - \log_{2} (\frac{125}{12}) - \log_{2} (243)$
204722	Multiply	4 square root of 6* square root of 3	$4 \sqrt{6} \cdot \sqrt{3}$
204723	Solve the System of Equations	y=x^2+6x+10 y=-2x-6	$y = x^{2} + 6 x + 10$ $y = - 2 x - 6$
204724	Simplify	((4y-18)/3)(6/(6y-27))	$(\frac{4 y - 18}{3}) (\frac{6}{6 y - 27})$
204725	Simplify	(x^2-x+5)/( square root of x)	$\frac{x^{2} - x + 5}{\sqrt{x}}$
204726	Graph	3x+y>-3 x+2y<4	$3 x + y > - 3$ $x + 2 y < 4$
204727	Find the Degree, Leading Term, and Leading Coefficient	f(x)=-2x^6-9x^2+4-8x^3+6x^5	$f (x) = - 2 x^{6} - 9 x^{2} + 4 - 8 x^{3} + 6 x^{5}$
204728	Find the Domain and Range	y=cos(x/4)	$y = \cos (\frac{x}{4})$
204729	Graph	f(x)> = square root of 2x+1	$f (x) \geq \sqrt{2 x + 1}$
204730	Solve for x	log base 5 of 3x^2-3- log base 5 of x+5=1	$\log_{5} (3 x^{2} - 3) - \log_{5} (x + 5) = 1$
204731	Rationalize the Denominator	3/( square root of x+ square root of 5)	$\frac{3}{\sqrt{x} + \sqrt{5}}$
204732	Simplify the Radical Expression	square root of 2+ square root of 2	$\sqrt{2} + \sqrt{2}$
204733	Simplify	(x+5)^2-(2x-3)	${(x + 5)}^{2} - (2 x - 3)$
204734	Simplify	(120a^5b^6c^-5)/(12a^-2b^0c^2)	$\frac{120 a^{5} b^{6} c^{- 5}}{12 a^{- 2} b^{0} c^{2}}$
204735	Find the Degree, Leading Term, and Leading Coefficient	5x^5+3-x^2-1/5x^3	$5 x^{5} + 3 - x^{2} - \frac{1}{5} x^{3}$
204736	Divide Using Long Polynomial Division	2x^4-3x^3-20x^2+72x-63 by 2x-3	$2 x^{4} - 3 x^{3} - 20 x^{2} + 72 x - 63$ by $2 x - 3$
204737	Solve for x	square root of 2x+3+2 = square root of 6x+7	$\sqrt{2 x + 3} + 2 = \sqrt{6 x + 7}$
204738	Simplify	( square root of 24x^5)/( square root of 8x^4)	$\frac{\sqrt{24 x^{5}}}{\sqrt{8 x^{4}}}$
204739	Simplify	3+2x-9-4x+11+5x-x	$3 + 2 x - 9 - 4 x + 11 + 5 x - x$
204740	Simplify	(8-p^2+5p)+(p^2-15-4p)	$(8 - p^{2} + 5 p) + (p^{2} - 15 - 4 p)$
204741	Solve for θ	cot(theta)=-( square root of 3)/3	$\cot (θ) = - \frac{\sqrt{3}}{3}$
204742	Simplify	((x^2+3x)/(x+1))÷((3x)/(3x+3))	$\frac{x^{2} + 3 x}{x + 1} \div \frac{3 x}{3 x + 3}$
204743	Solve the Rational Equation for x	56/(x^2-2x-15)-6/(x+3)=7/(x-5)	$\frac{56}{x^{2} - 2 x - 15} - \frac{6}{x + 3} = \frac{7}{x - 5}$
204744	Simplify	(-6/7)^-1	${(\frac{- 6}{7})}^{- 1}$
204745	Solve the Inequality for b	26+6b>=2(3b+4)	$26 + 6 b \geq 2 (3 b + 4)$
204746	Simplify	(9^2)^3(9)^5	${(9^{2})}^{3} {(9)}^{5}$
204747	Solve for x	7/9=x/(x-10)	$\frac{7}{9} = \frac{x}{x - 10}$
204748	Evaluate	(2^4-1)/(3^2-2^2)	$\frac{2^{4} - 1}{3^{2} - 2^{2}}$
204749	Graph	12x+4>=16 or 3x-5<=-14	$12 x + 4 \geq 16$ or $3 x - 5 \leq - 14$
204750	Multiply	cube root of 4* square root of 8	$\sqrt[3]{4} \cdot \sqrt{8}$
204751	Solve for x	square root of x+10-7=-5	$\sqrt{x + 10 - 7} = - 5$
204752	Evaluate	-4*(-4)^-2	$- 4 \cdot {(- 4)}^{- 2}$
204753	Simplify	(a^3b^4c^5)(ab^3c)	$(a^{3} b^{4} c^{5}) (a b^{3} c)$
204754	Solve by Factoring	x^(4/3)-10x^(2/3)+9=0	$x^{\frac{4}{3}} - 10 x^{\frac{2}{3}} + 9 = 0$
204755	Simplify	4x1/(x^-5)x^-3	$4 x \cdot \frac{1}{x^{- 5}} \cdot x^{- 3}$
204756	Graph	y=7/2 square root of x-2	$y = \frac{7}{2} \sqrt{x} - 2$
204757	Solve the System of Equations	y=x^2+3x-7 3x-y=-2	$y = x^{2} + 3 x - 7$ $3 x - y = - 2$
204758	Graph	y=-x+1 x=3	$y = - x + 1$ $x = 3$
204759	Find the Holes in the Graph	(x^2-25)/(4x+20)	$\frac{x^{2} - 25}{4 x + 20}$
204760	Find the Roots (Zeros)	-4x^4+8x^3+60x^2	$- 4 x^{4} + 8 x^{3} + 60 x^{2}$
204761	Simplify	((-16)^3)÷((4^-2)^-3)	${(- 16)}^{3} \div {(4^{- 2})}^{- 3}$
204762	Write in Slope-Intercept Form	(6,-2) and (12,1)	$(6, - 2)$ and $(12, 1)$
204763	Simplify	(5/(uy^2))(-5u^3y)	$(\frac{5}{u y^{2}}) (- 5 u^{3} y)$
204764	Find the Degree, Leading Term, and Leading Coefficient	f(x)=-x^5+6x^7-7x^3-2-6x^2	$f (x) = - x^{5} + 6 x^{7} - 7 x^{3} - 2 - 6 x^{2}$
204765	Multiply	(x- square root of 5)(x+ square root of 7)	$(x - \sqrt{5}) (x + \sqrt{7})$
204766	Solve for q	2(-2-5q)=-3(-4-2q)	$2 (- 2 - 5 q) = - 3 (- 4 - 2 q)$
204767	Simplify	i^7+i^8+i^9+i^10	$i^{7} + i^{8} + i^{9} + i^{10}$
204768	Solve for y	2y=x+6	$2 y = x + 6$
204769	Simplify the Radical Expression	square root of 2+ square root of 8- square root of 50	$\sqrt{2} + \sqrt{8} - \sqrt{50}$
204770	Simplify	square root of 2-4 square root of 6+5 square root of 2+ square root of 6	$\sqrt{2} - 4 \sqrt{6} + 5 \sqrt{2} + \sqrt{6}$
204771	Solve for x	4e^(2x)-7e^x=15	$4 e^{2 x} - 7 e^{x} = 15$
204772	Simplify	-4x^2(5x^4-3x^2+x-2)	$- 4 x^{2} (5 x^{4} - 3 x^{2} + x - 2)$
204773	Evaluate	5 log base 2 of 32+2 log base 3 of 1/9	$5 \log_{2} (32) + 2 \log_{3} (\frac{1}{9})$
204774	Graph	y<=3/2(x+1)	$y \leq \frac{3}{2} (x + 1)$
204775	Solve the System of Inequalities	y<-x+3 y>x-1	$y < - x + 3$ $y > x - 1$
204776	Simplify	square root of 8a^2* square root of 4a	$\sqrt{8 a^{2}} \cdot \sqrt{4 a}$
204777	Simplify	square root of 6/7* square root of 1/3	$\sqrt{\frac{6}{7}} \cdot \sqrt{\frac{1}{3}}$
204778	Simplify	(5^(2/7))(5^(5/6))	$(5^{\frac{2}{7}}) (5^{\frac{5}{6}})$
204779	Solve for x	x=(-6+- square root of 6^2-438)/(2*3)	$x = \frac{- 6 + - \sqrt{6^{2} - 4 \cdot 3 \cdot 8}}{2 \cdot 3}$
204780	Evaluate the Function	g(3y)=x^2	$g (3 y) = x^{2}$
204781	Simplify	ninth root of x^-2*x^5	$\sqrt[9]{x^{- 2} \cdot x^{5}}$
204782	Simplify	2 square root of 3(4 square root of 5+ square root of 6)	$2 \sqrt{3} (4 \sqrt{5} + \sqrt{6})$
204783	Solve for x	(27^(1/4))/(3^(x/4))=1	$\frac{27^{\frac{1}{4}}}{3^{\frac{x}{4}}} = 1$
204784	Simplify	( cube root of x square root of y)/( fourth root of xy^2)	$\frac{\sqrt[3]{x \sqrt{y}}}{\sqrt[4]{x y^{2}}}$
204785	Find the Product	square root of 2x^4* square root of 8x^3	$\sqrt{2 x^{4}} \cdot \sqrt{8 x^{3}}$
204786	Write the Fraction in Simplest Form	((4v)^2)/(4v)	$\frac{{(4 v)}^{2}}{4 v}$
204787	Simplify	square root of a^4* square root of 81b^4	$\sqrt{a^{4}} \cdot \sqrt{81 b^{4}}$
204788	Simplify	6/( square root of 80)	$\frac{6}{\sqrt{80}}$
204789	Find the Degree, Leading Term, and Leading Coefficient	f(x)=8x^3-7x^4-9x-3x^2+11	$f (x) = 8 x^{3} - 7 x^{4} - 9 x - 3 x^{2} + 11$
204790	Simplify	(4/(5x))(-(45x)/2)	$(\frac{4}{5 x}) (- \frac{45 x}{2})$
204791	Find the Domain and Range	y+3=2^x	$y + 3 = 2^{x}$
204792	Solve for m	\|(m-15)/5\|<16	$\| \frac{m - 15}{5} \| < 16$
204793	Simplify	( square root of a- square root of b)÷( square root of ab)	$(\sqrt{a} - \sqrt{b}) \div \sqrt{a b}$
204794	Solve for u	-7-2u+7=3(-u-10)+4u	$- 7 - 2 u + 7 = 3 (- u - 10) + 4 u$
204795	Simplify the Radical Expression	x square root of x^6	$x \sqrt{x^{6}}$
204796	Simplify	Find the sum of x^2+3x and -2x^2+9x+5	Find the sum of $x^{2} + 3 x$ and $- 2 x^{2} + 9 x + 5$
204797	Solve for x	2-8/3=(3x-5)/(3x)	$2 - \frac{8}{3} = \frac{3 x - 5}{3 x}$
204798	Solve for y	(7y)/8-(3y)/5=11/2	$\frac{7 y}{8} - \frac{3 y}{5} = \frac{11}{2}$
204799	Simplify	((3^-1)/(3^6))^-5	${(\frac{3^{- 1}}{3^{6}})}^{- 5}$
204800	Solve for k	17k-9=2k+13k+19	$17 k - 9 = 2 k + 13 k + 19$