Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
230801	Evaluate	1/2(3)^2pi/6	$\frac{1}{2} {(3)}^{2} \frac{π}{6}$
230802	Evaluate	9^6=x^3*9^3	$9^{6} = x^{3} \cdot 9^{3}$
230803	Solve for h	h/-7.5=-4	$\frac{h}{- 7.5} = - 4$
230804	Simplify	p/(3p-1)-p/(3p+1)	$\frac{p}{3 p - 1} - \frac{p}{3 p + 1}$
230805	Solve for t	t^3+64=0	$t^{3} + 64 = 0$
230806	Graph	(x+2y-1)(x-y+2)>0	$(x + 2 y - 1) (x - y + 2) > 0$
230807	Solve for x	13x-9=19-16+x	$13 x - 9 = 19 - 16 + x$
230808	Find the x and y Intercepts	f(x)=x^2(x^2-3)(6x+5)	$f (x) = x^{2} (x^{2} - 3) (6 x + 5)$
230809	Solve for x	10x+3+10x=13x-3+7x	$10 x + 3 + 10 x = 13 x - 3 + 7 x$
230810	Find the Exact Value	sin(225 degrees )^2-cos(225 degrees )^2	$\sin^{2} (225 °) - \cos^{2} (225 °)$
230811	Simplify	m/(3m+6)-(4m)/(m+2)	$\frac{m}{3 m + 6} - \frac{4 m}{m + 2}$
230812	Solve for x	-3(10-x)=11x-2(4x+15)	$- 3 (10 - x) = 11 x - 2 (4 x + 15)$
230813	Simplify	((3m^2n^7)/(mn^3))^5	${(\frac{3 m^{2} n^{7}}{m n^{3}})}^{5}$
230814	Find the Remainder	x^5-1024 is divided by x-4	$x^{5} - 1024$ is divided by $x - 4$
230815	Divide	(-15x^5y^4)/(45xy^3)	$\frac{- 15 x^{5} y^{4}}{45 x y^{3}}$
230816	Simplify	x/(2x+6)	$\frac{x}{2 x + 6}$
230817	Solve the Inequality for x	-9>=2/5x+7	$- 9 \geq \frac{2}{5} x + 7$
230818	Solve the Inequality for x	-4x>-9+8(-3/2x+1)-x	$- 4 x > - 9 + 8 (- \frac{3}{2} x + 1) - x$
230819	Solve for b	x=(4a+b)/3	$x = \frac{4 a + b}{3}$
230820	Solve for x	3x(2x+3)=2x(x+4.5)+2	$3 x (2 x + 3) = 2 x (x + 4.5) + 2$
230821	Solve the Inequality for g	-3(6-2g)>4g	$- 3 (6 - 2 g) > 4 g$
230822	Solve the Inequality for x	4(2x+5)-2x>=10	$4 (2 x + 5) - 2 x \geq 10$
230823	Simplify	( cube root of 45z^5)( cube root of 4z)	$(\sqrt[3]{45 z^{5}}) (\sqrt[3]{4 z})$
230824	Multiply	(6/7p^4r^3)(r^2z^4)(14p^3z^2)	$(\frac{6}{7} p^{4} r^{3}) (r^{2} z^{4}) (14 p^{3} z^{2})$
230825	Simplify the Radical Expression	3/( square root of 12)	$\frac{3}{\sqrt{12}}$
230826	Divide	( fourth root of 36)÷( fourth root of 6)	$\sqrt[4]{36} \div \sqrt[4]{6}$
230827	Simplify	3x(xy-4)+3(4xy+3)-xy(x^2y-1)	$3 x (x y - 4) + 3 (4 x y + 3) - x y (x^{2} y - 1)$
230828	Write Using Positive Exponents	8^-2*a^7	$8^{- 2} \cdot a^{7}$
230829	Simplify	(4a)/(4ab^2)-(2a-3b)/4	$\frac{4 a}{4 a b^{2}} - \frac{2 a - 3 b}{4}$
230830	Simplify	(x-0)^2+(y-0)^2	${(x - 0)}^{2} + {(y - 0)}^{2}$
230831	Solve Over the Interval	sin(theta)=0.62 , 90 degrees <theta<180 degrees	$\sin (θ) = 0.62$ , $90 ° < θ < 180 °$
230832	Solve by Addition/Elimination	4x+2y=6 -3x-2y=-4	$4 x + 2 y = 6$ $- 3 x - 2 y = - 4$
230833	Evaluate	(-2^4)÷4-(4x)÷6+10	$- 2^{4} \div 4 - 4 x \div 6 + 10$
230834	Simplify	((x^-4)/(y^-6))^(-1/2)	${(\frac{x^{- 4}}{y^{- 6}})}^{- \frac{1}{2}}$
230835	Find the Remainder	(-7x^4+5x^3+20x^2+10)÷(-x^2+x+3)	$(- 7 x^{4} + 5 x^{3} + 20 x^{2} + 10) \div (- x^{2} + x + 3)$
230836	Write in Standard Form	(x-2)^2-4	${(x - 2)}^{2} - 4$
230837	Divide Using Long Polynomial Division	(8x^8-8x^2-28x)/(4x)	$\frac{8 x^{8} - 8 x^{2} - 28 x}{4 x}$
230838	Solve for x	1/((x-2)^(1/2))=1/2	$\frac{1}{{(x - 2)}^{\frac{1}{2}}} = \frac{1}{2}$
230839	Find the Product	3y^2z(2y^2z+4yz-y+z)	$3 y^{2} z (2 y^{2} z + 4 y z - y + z)$
230840	Evaluate	(8^10-8^9-8^8)/55	$\frac{(8^{10} - 8^{9} - 8^{8})}{55}$
230841	Evaluate	-20(7+x)	$- 20 (7 + x)$
230842	Find the GCF	387 and 225	$387$ and $225$
230843	Identify the Sequence	1 , 3 , 9 , 27 ; dots	$1$ , $3$ , $9$ , $27$ ; dots
230844	Solve for x	-x-3(-9/4x+3/5)+5=4x-1	$- x - 3 (- \frac{9}{4} x + \frac{3}{5}) + 5 = 4 x - 1$
230845	Solve the Rational Equation for p	-7+(16p+8)^(1/3)=-1	$- 7 + {(16 p + 8)}^{\frac{1}{3}} = - 1$
230846	Graph	3/2 cube root of x+5	$\frac{3}{2} \sqrt[3]{x} + 5$
230847	Write as a Single Logarithm	natural log of x^2+18x+80- natural log of x+8	$\ln (x^{2} + 18 x + 80) - \ln (x + 8)$
230848	Evaluate	-3(2/15)+3/4	$- 3 (\frac{2}{15}) + \frac{3}{4}$
230849	Graph	y=e^(-x+1)	$y = e^{- x + 1}$
230850	Factor	3(-2x+3)^3(-3)(4x^2-5)^3+(-2x+3)^4(3)(4x^2-5)^2(2x)	$3 {(- 2 x + 3)}^{3} (- 3) {(4 x^{2} - 5)}^{3} + {(- 2 x + 3)}^{4} (3) {(4 x^{2} - 5)}^{2} (2 x)$
230851	Multiply	(1+sin(x))(1-sin(x))	$(1 + \sin (x)) (1 - \sin (x))$
230852	Simplify	(1+a^3)/(1+a)	$\frac{1 + a^{3}}{1 + a}$
230853	Find the Distance Between Two Points	(-9,5) and (0,0)	$(- 9, 5)$ and $(0, 0)$
230854	Solve for x	3e^(2x)-8=2e^x	$3 e^{2 x} - 8 = 2 e^{x}$
230855	Describe the Transformation	-f(x+3)-4	$- f (x + 3) - 4$
230856	Evaluate	100(1/2)^(168/12)	$100 {(\frac{1}{2})}^{\frac{168}{12}}$
230857	Evaluate	(3x-4y^2)(3x+4y^2)	$(3 x - 4 y^{2}) (3 x + 4 y^{2})$
230858	Evaluate	4/( square root of 9-(4)^2)	$\frac{4}{\sqrt{9 - {(4)}^{2}}}$
230859	Find the Remainder	((x-1)(x^2+x+1))÷(x+2)	$(x - 1) (x^{2} + x + 1) \div (x + 2)$
230860	Solve for x	4/x-x/8=0	$\frac{4}{x} - \frac{x}{8} = 0$
230861	Evaluate	-(12x)^-2	$- {(12 x)}^{- 2}$
230862	Rationalize the Denominator	cube root of (x^3)/(4x^4)	$\sqrt[3]{\frac{x^{3}}{4 x^{4}}}$
230863	Evaluate	y=(1/4)^3	$y = {(\frac{1}{4})}^{3}$
230864	Solve for x	4(2x+1)-7=26-3(-2x-5)	$4 (2 x + 1) - 7 = 26 - 3 (- 2 x - 5)$
230865	Factor	100x^4y^8-144a^6	$100 x^{4} y^{8} - 144 a^{6}$
230866	Evaluate	(xy^-6)/(x^-4y^2)	$\frac{x y^{- 6}}{x^{- 4} y^{2}}$
230867	Solve for x	3xy^3+5-x-2xy^3=xy^3+11	$3 x y^{3} + 5 - x - 2 x y^{3} = x y^{3} + 11$
230868	Determine if Dependent, Independent, or Inconsistent	3y=9x+6 2y-6x=4	$3 y = 9 x + 6$ $2 y - 6 x = 4$
230869	Solve by Factoring	3 cube root of 12+5 cube root of 12=(3+5) cube root of 24	$3 \sqrt[3]{12} + 5 \sqrt[3]{12} = (3 + 5) \sqrt[3]{24}$
230870	Solve the Inequality for x	3+4\|3x+7\|>=-89	$3 + 4 \| 3 x + 7 \| \geq - 89$
230871	Simplify	5 square root of 7/5	$5 \sqrt{\frac{7}{5}}$
230872	Evaluate	\|x-2\|+3<0	$\| x - 2 \| + 3 < 0$
230873	Solve for y	6y+10=y^2+3y	$6 y + 10 = y^{2} + 3 y$
230874	Solve for x	2x+4y=6y+1/2x	$2 x + 4 y = 6 y + \frac{1}{2} x$
230875	Solve for x	x=(3/7x-4)+4+(5/7x-4)	$x = (\frac{3}{7} x - 4) + 4 + (\frac{5}{7} x - 4)$
230876	Convert to a Decimal	-405deg	$- 405$ degrees
230877	Simplify	1/(x^3)+1	$\frac{1}{x^{3}} + 1$
230878	Simplify	(10x^3)/(11y^2)*(121y^5)/(25x)	$\frac{10 x^{3}}{11 y^{2}} \cdot \frac{121 y^{5}}{25 x}$
230879	Find the Domain and Range	y=x^3-2x^2+5x+7	$y = x^{3} - 2 x^{2} + 5 x + 7$
230880	Divide	(-8/5)÷(-24/25)	$- \frac{8}{5} \div (- \frac{24}{25})$
230881	Simplify	(2^-3m^4n^-5)/(p^-7)	$\frac{2^{- 3} m^{4} n^{- 5}}{p^{- 7}}$
230882	Simplify	((-3x^2y^3)^2(4x^5y^2)^3)/(288x^5y^8)	$\frac{{(- 3 x^{2} y^{3})}^{2} {(4 x^{5} y^{2})}^{3}}{288 x^{5} y^{8}}$
230883	Graph	y>=2x^2-4 y<-0.5x-1 y<3x+2	$y \geq 2 x^{2} - 4$ $y < - 0.5 x - 1$ $y < 3 x + 2$
230884	Describe the Transformation	f(x)=3/4 square root of x+1	$f (x) = \frac{3}{4} \sqrt{x} + 1$
230885	Evaluate	2^-14*5^10	$2^{- 14} \cdot 5^{10}$
230886	Solve for c	( square root of 3)/2=( square root of 12)/c	$\frac{\sqrt{3}}{2} = \frac{\sqrt{12}}{c}$
230887	Factor	x^8-25x^4+144=0	$x^{8} - 25 x^{4} + 144 = 0$
230888	Find the x and y Intercepts	f(x)=-(1/3)^(x-1)+2	$f (x) = - {(\frac{1}{3})}^{x - 1} + 2$
230889	Simplify	5 square root of -100+4 cube root of 512+2 square root of -64	$5 \sqrt{- 100} + 4 \sqrt[3]{512} + 2 \sqrt{- 64}$
230890	Evaluate	2^2--3^-2	$2^{2} - - 3^{- 2}$
230891	Simplify the Radical Expression	square root of 144- square root of -90+ square root of 16+ square root of -10	$\sqrt{144} - \sqrt{- 90} + \sqrt{16} + \sqrt{- 10}$
230892	Solve for x	-10-3x^3=-37	$- 10 - 3 x^{3} = - 37$
230893	Simplify	(4x^4+3x^2-1)+(mx^3+2)(3x^2+1)	$(4 x^{4} + 3 x^{2} - 1) + (m x^{3} + 2) (3 x^{2} + 1)$
230894	Solve the Rational Equation for x	9^x*3^(x+2)=3^(f(x))	$9^{x} \cdot 3^{x + 2} = 3^{f (x)}$
230895	Solve for x	(x+2)/4+(x-4)/2-(x-3)/3=(x+1)/12-(x-1)/2	$\frac{x + 2}{4} + \frac{x - 4}{2} - \frac{x - 3}{3} = \frac{x + 1}{12} - \frac{x - 1}{2}$
230896	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-8,-6) and has a slope of 1/4 ?	What is the equation of the line that passes through the point $(- 8, - 6)$ and has a slope of $\frac{1}{4}$ ?
230897	Factor	Factor: 49d^2n-25n	Factor: $49 d^{2} n - 25 n$
230898	Find the Distance Between Two Points	Find the distance between the points (-4,-9) and (-8,1)	Find the distance between the points $(- 4, - 9)$ and $(- 8, 1)$
230899	Evaluate	(2/3)^3+8/9	${(\frac{2}{3})}^{3} + \frac{8}{9}$
230900	Simplify the Radical Expression	( fourth root of 32)^2	${(\sqrt[4]{32})}^{2}$