Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
230801	Simplify	(10m^3n^4-15mn)/(5mn)	$\frac{10 m^{3} n^{4} - 15 m n}{5 m n}$
230802	Subtract	(19pi)/6-2pi	$\frac{19 π}{6} - 2 π$
230803	Evaluate	10% of 10	$10 %$ of $10$
230804	Graph	-x+2y-4<0	$- x + 2 y - 4 < 0$
230805	Solve the System of Equations	-9+5y=-4x -11x=-20+9y	$- 9 + 5 y = - 4 x$ $- 11 x = - 20 + 9 y$
230806	Simplify	((2xy)(3x^2y^3))/(x^3y)	$\frac{(2 x y) (3 x^{2} y^{3})}{x^{3} y}$
230807	Simplify	((8xy^2)/(z^3))^3	${(\frac{8 x y^{2}}{z^{3}})}^{3}$
230808	Evaluate Using the Given Value	2(5x-3y+7)-8+6x ; When x=4 and y=2 ?	$2 (5 x - 3 y + 7) - 8 + 6 x$ ; When $x = 4$ and $y = 2$ ?
230809	Divide Using Synthetic Division	Use synthetic division to find the result when 3x^3+13x^2+x-12 is divided by x+4	Use synthetic division to find the result when $3 x^{3} + 13 x^{2} + x - 12$ is divided by $x + 4$
230810	Simplify	pi/(2/3)	$\frac{π}{\frac{2}{3}}$
230811	Evaluate Using the Given Value	m-n÷4 ; use m=5 ; and n=8	$m - n \div 4$ ; use $m = 5$ ; and $n = 8$
230812	Factor	4ac-7bd+bc-28ad	$4 a c - 7 b d + b c - 28 a d$
230813	Simplify	(x+3)/(x-6)-7/(x-3)	$\frac{x + 3}{x - 6} - \frac{7}{x - 3}$
230814	Divide	(-x^6+x^5+7x^2-9)÷(x^4)	$(- x^{6} + x^{5} + 7 x^{2} - 9) \div x^{4}$
230815	Simplify	square root of x^-1	$\sqrt{x^{- 1}}$
230816	Simplify	(a-2)/2-1-(a-3)/3	$\frac{a - 2}{2} - 1 - \frac{a - 3}{3}$
230817	Evaluate	1/2(3)^2pi/6	$\frac{1}{2} {(3)}^{2} \frac{π}{6}$
230818	Evaluate	9^6=x^3*9^3	$9^{6} = x^{3} \cdot 9^{3}$
230819	Solve for h	h/-7.5=-4	$\frac{h}{- 7.5} = - 4$
230820	Simplify	p/(3p-1)-p/(3p+1)	$\frac{p}{3 p - 1} - \frac{p}{3 p + 1}$
230821	Solve for t	t^3+64=0	$t^{3} + 64 = 0$
230822	Graph	(x+2y-1)(x-y+2)>0	$(x + 2 y - 1) (x - y + 2) > 0$
230823	Solve for x	13x-9=19-16+x	$13 x - 9 = 19 - 16 + x$
230824	Find the x and y Intercepts	f(x)=x^2(x^2-3)(6x+5)	$f (x) = x^{2} (x^{2} - 3) (6 x + 5)$
230825	Solve for x	10x+3+10x=13x-3+7x	$10 x + 3 + 10 x = 13 x - 3 + 7 x$
230826	Find the Exact Value	sin(225 degrees )^2-cos(225 degrees )^2	$\sin^{2} (225 °) - \cos^{2} (225 °)$
230827	Simplify	m/(3m+6)-(4m)/(m+2)	$\frac{m}{3 m + 6} - \frac{4 m}{m + 2}$
230828	Solve for x	-3(10-x)=11x-2(4x+15)	$- 3 (10 - x) = 11 x - 2 (4 x + 15)$
230829	Simplify	((3m^2n^7)/(mn^3))^5	${(\frac{3 m^{2} n^{7}}{m n^{3}})}^{5}$
230830	Find the Remainder	x^5-1024 is divided by x-4	$x^{5} - 1024$ is divided by $x - 4$
230831	Divide	(-15x^5y^4)/(45xy^3)	$\frac{- 15 x^{5} y^{4}}{45 x y^{3}}$
230832	Simplify	x/(2x+6)	$\frac{x}{2 x + 6}$
230833	Solve the Inequality for x	-9>=2/5x+7	$- 9 \geq \frac{2}{5} x + 7$
230834	Solve the Inequality for x	-4x>-9+8(-3/2x+1)-x	$- 4 x > - 9 + 8 (- \frac{3}{2} x + 1) - x$
230835	Solve for b	x=(4a+b)/3	$x = \frac{4 a + b}{3}$
230836	Solve for x	3x(2x+3)=2x(x+4.5)+2	$3 x (2 x + 3) = 2 x (x + 4.5) + 2$
230837	Solve the Inequality for g	-3(6-2g)>4g	$- 3 (6 - 2 g) > 4 g$
230838	Solve the Inequality for x	4(2x+5)-2x>=10	$4 (2 x + 5) - 2 x \geq 10$
230839	Simplify	( cube root of 45z^5)( cube root of 4z)	$(\sqrt[3]{45 z^{5}}) (\sqrt[3]{4 z})$
230840	Multiply	(6/7p^4r^3)(r^2z^4)(14p^3z^2)	$(\frac{6}{7} p^{4} r^{3}) (r^{2} z^{4}) (14 p^{3} z^{2})$
230841	Simplify the Radical Expression	3/( square root of 12)	$\frac{3}{\sqrt{12}}$
230842	Divide	( fourth root of 36)÷( fourth root of 6)	$\sqrt[4]{36} \div \sqrt[4]{6}$
230843	Simplify	3x(xy-4)+3(4xy+3)-xy(x^2y-1)	$3 x (x y - 4) + 3 (4 x y + 3) - x y (x^{2} y - 1)$
230844	Write Using Positive Exponents	8^-2*a^7	$8^{- 2} \cdot a^{7}$
230845	Simplify	(4a)/(4ab^2)-(2a-3b)/4	$\frac{4 a}{4 a b^{2}} - \frac{2 a - 3 b}{4}$
230846	Simplify	(x-0)^2+(y-0)^2	${(x - 0)}^{2} + {(y - 0)}^{2}$
230847	Solve Over the Interval	sin(theta)=0.62 , 90 degrees <theta<180 degrees	$\sin (θ) = 0.62$ , $90 ° < θ < 180 °$
230848	Solve by Addition/Elimination	4x+2y=6 -3x-2y=-4	$4 x + 2 y = 6$ $- 3 x - 2 y = - 4$
230849	Evaluate	(-2^4)÷4-(4x)÷6+10	$- 2^{4} \div 4 - 4 x \div 6 + 10$
230850	Simplify	((x^-4)/(y^-6))^(-1/2)	${(\frac{x^{- 4}}{y^{- 6}})}^{- \frac{1}{2}}$
230851	Find the Remainder	(-7x^4+5x^3+20x^2+10)÷(-x^2+x+3)	$(- 7 x^{4} + 5 x^{3} + 20 x^{2} + 10) \div (- x^{2} + x + 3)$
230852	Write in Standard Form	(x-2)^2-4	${(x - 2)}^{2} - 4$
230853	Divide Using Long Polynomial Division	(8x^8-8x^2-28x)/(4x)	$\frac{8 x^{8} - 8 x^{2} - 28 x}{4 x}$
230854	Solve for x	1/((x-2)^(1/2))=1/2	$\frac{1}{{(x - 2)}^{\frac{1}{2}}} = \frac{1}{2}$
230855	Find the Product	3y^2z(2y^2z+4yz-y+z)	$3 y^{2} z (2 y^{2} z + 4 y z - y + z)$
230856	Evaluate	(8^10-8^9-8^8)/55	$\frac{(8^{10} - 8^{9} - 8^{8})}{55}$
230857	Evaluate	-20(7+x)	$- 20 (7 + x)$
230858	Find the GCF	387 and 225	$387$ and $225$
230859	Identify the Sequence	1 , 3 , 9 , 27 ; dots	$1$ , $3$ , $9$ , $27$ ; dots
230860	Solve for x	-x-3(-9/4x+3/5)+5=4x-1	$- x - 3 (- \frac{9}{4} x + \frac{3}{5}) + 5 = 4 x - 1$
230861	Solve the Rational Equation for p	-7+(16p+8)^(1/3)=-1	$- 7 + {(16 p + 8)}^{\frac{1}{3}} = - 1$
230862	Graph	3/2 cube root of x+5	$\frac{3}{2} \sqrt[3]{x} + 5$
230863	Write as a Single Logarithm	natural log of x^2+18x+80- natural log of x+8	$\ln (x^{2} + 18 x + 80) - \ln (x + 8)$
230864	Evaluate	-3(2/15)+3/4	$- 3 (\frac{2}{15}) + \frac{3}{4}$
230865	Graph	y=e^(-x+1)	$y = e^{- x + 1}$
230866	Factor	3(-2x+3)^3(-3)(4x^2-5)^3+(-2x+3)^4(3)(4x^2-5)^2(2x)	$3 {(- 2 x + 3)}^{3} (- 3) {(4 x^{2} - 5)}^{3} + {(- 2 x + 3)}^{4} (3) {(4 x^{2} - 5)}^{2} (2 x)$
230867	Multiply	(1+sin(x))(1-sin(x))	$(1 + \sin (x)) (1 - \sin (x))$
230868	Simplify	(1+a^3)/(1+a)	$\frac{1 + a^{3}}{1 + a}$
230869	Find the Distance Between Two Points	(-9,5) and (0,0)	$(- 9, 5)$ and $(0, 0)$
230870	Solve for x	3e^(2x)-8=2e^x	$3 e^{2 x} - 8 = 2 e^{x}$
230871	Describe the Transformation	-f(x+3)-4	$- f (x + 3) - 4$
230872	Evaluate	100(1/2)^(168/12)	$100 {(\frac{1}{2})}^{\frac{168}{12}}$
230873	Evaluate	(3x-4y^2)(3x+4y^2)	$(3 x - 4 y^{2}) (3 x + 4 y^{2})$
230874	Evaluate	4/( square root of 9-(4)^2)	$\frac{4}{\sqrt{9 - {(4)}^{2}}}$
230875	Find the Remainder	((x-1)(x^2+x+1))÷(x+2)	$(x - 1) (x^{2} + x + 1) \div (x + 2)$
230876	Solve for x	4/x-x/8=0	$\frac{4}{x} - \frac{x}{8} = 0$
230877	Evaluate	-(12x)^-2	$- {(12 x)}^{- 2}$
230878	Rationalize the Denominator	cube root of (x^3)/(4x^4)	$\sqrt[3]{\frac{x^{3}}{4 x^{4}}}$
230879	Evaluate	y=(1/4)^3	$y = {(\frac{1}{4})}^{3}$
230880	Solve for x	4(2x+1)-7=26-3(-2x-5)	$4 (2 x + 1) - 7 = 26 - 3 (- 2 x - 5)$
230881	Factor	100x^4y^8-144a^6	$100 x^{4} y^{8} - 144 a^{6}$
230882	Evaluate	(xy^-6)/(x^-4y^2)	$\frac{x y^{- 6}}{x^{- 4} y^{2}}$
230883	Solve for x	3xy^3+5-x-2xy^3=xy^3+11	$3 x y^{3} + 5 - x - 2 x y^{3} = x y^{3} + 11$
230884	Determine if Dependent, Independent, or Inconsistent	3y=9x+6 2y-6x=4	$3 y = 9 x + 6$ $2 y - 6 x = 4$
230885	Solve by Factoring	3 cube root of 12+5 cube root of 12=(3+5) cube root of 24	$3 \sqrt[3]{12} + 5 \sqrt[3]{12} = (3 + 5) \sqrt[3]{24}$
230886	Solve the Inequality for x	3+4\|3x+7\|>=-89	$3 + 4 \| 3 x + 7 \| \geq - 89$
230887	Simplify	5 square root of 7/5	$5 \sqrt{\frac{7}{5}}$
230888	Evaluate	\|x-2\|+3<0	$\| x - 2 \| + 3 < 0$
230889	Solve for y	6y+10=y^2+3y	$6 y + 10 = y^{2} + 3 y$
230890	Solve for x	2x+4y=6y+1/2x	$2 x + 4 y = 6 y + \frac{1}{2} x$
230891	Solve for x	x=(3/7x-4)+4+(5/7x-4)	$x = (\frac{3}{7} x - 4) + 4 + (\frac{5}{7} x - 4)$
230892	Convert to a Decimal	-405deg	$- 405$ degrees
230893	Simplify	1/(x^3)+1	$\frac{1}{x^{3}} + 1$
230894	Simplify	(10x^3)/(11y^2)*(121y^5)/(25x)	$\frac{10 x^{3}}{11 y^{2}} \cdot \frac{121 y^{5}}{25 x}$
230895	Find the Domain and Range	y=x^3-2x^2+5x+7	$y = x^{3} - 2 x^{2} + 5 x + 7$
230896	Divide	(-8/5)÷(-24/25)	$- \frac{8}{5} \div (- \frac{24}{25})$
230897	Simplify	(2^-3m^4n^-5)/(p^-7)	$\frac{2^{- 3} m^{4} n^{- 5}}{p^{- 7}}$
230898	Simplify	((-3x^2y^3)^2(4x^5y^2)^3)/(288x^5y^8)	$\frac{{(- 3 x^{2} y^{3})}^{2} {(4 x^{5} y^{2})}^{3}}{288 x^{5} y^{8}}$
230899	Graph	y>=2x^2-4 y<-0.5x-1 y<3x+2	$y \geq 2 x^{2} - 4$ $y < - 0.5 x - 1$ $y < 3 x + 2$
230900	Describe the Transformation	f(x)=3/4 square root of x+1	$f (x) = \frac{3}{4} \sqrt{x} + 1$