Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
234801	Find the Exact Value	cot((3pi)/2)-cos((3pi)/2)	$\cot (\frac{3 π}{2}) - \cos (\frac{3 π}{2})$
234802	Solve for x	-x-2y=-4z+12 3x-6y+z=15 2x+5y+1=0	$- x - 2 y = - 4 z + 12$ $3 x - 6 y + z = 15$ $2 x + 5 y + 1 = 0$
234803	Evaluate	3^2=x+5	$3^{2} = x + 5$
234804	Factor	x^4-6x^3+11x^2-6x	$x^{4} - 6 x^{3} + 11 x^{2} - 6 x$
234805	Factor	x^4+3x^3-4x^2-16x^2-48x+64	$x^{4} + 3 x^{3} - 4 x^{2} - 16 x^{2} - 48 x + 64$
234806	Evaluate	( log base square root of 2 of square root of 5)/( log base square root of 2 of square root of 10)	$\frac{\log_{\sqrt{2}} (\sqrt{5})}{\log_{\sqrt{2}} (\sqrt{10})}$
234807	Simplify	3y^2 fourth root of x^4z-x fourth root of 16y^8z	$3 y^{2} \sqrt[4]{x^{4} z} - x \sqrt[4]{16 y^{8} z}$
234808	Solve the Inequality for c	-1/2c+5<=7	$- \frac{1}{2} c + 5 \leq 7$
234809	Evaluate	(2^3x)^2	${(2^{3} x)}^{2}$
234810	Simplify	(2x-8-(x-3))/(x^2-7x+10)	$\frac{2 x - 8 - (x - 3)}{x^{2} - 7 x + 10}$
234811	Factor	16x^2(4x+3)-25(4x+3)	$16 x^{2} (4 x + 3) - 25 (4 x + 3)$
234812	Solve the Inequality for d	-6d<=-6	$- 6 d \leq - 6$
234813	Multiply	(6m^2-8mn+4n^2)(8m+8n)	$(6 m^{2} - 8 m n + 4 n^{2}) (8 m + 8 n)$
234814	Solve the System of Equations	0.7x-y=5.16 2-0.8x=0.4y	$0.7 x - y = 5.16$ $2 - 0.8 x = 0.4 y$
234815	Convert to Radical Form	(10^4*4^10)/(4^5)	$\frac{10^{4} \cdot 4^{10}}{4^{5}}$
234816	Simplify	6+3 square root of 5-9 square root of 5-4	$6 + 3 \sqrt{5} - 9 \sqrt{5} - 4$
234817	Find the Roots (Zeros)	f(x)=-1/2(x^3-2.7x-3.1pi)	$f (x) = - \frac{1}{2} (x^{3} - 2.7 x - 3.1 π)$
234818	Simplify	(2m^2)/( square root of 36m^11)	$\frac{2 m^{2}}{\sqrt{36 m^{11}}}$
234819	Simplify	((a^2b^3)/c)^3	${(\frac{a^{2} b^{3}}{c})}^{3}$
234820	Simplify	( square root of 48)÷( square root of 3)	$\sqrt{48} \div \sqrt{3}$
234821	Find the Exact Value	\|-6\|-\|6\|-(-6)	$\| - 6 \| - \| 6 \| - (- 6)$
234822	Solve for x	2+ log of x=0	$2 + \log (x) = 0$
234823	Evaluate	Find the value of cube root of -8	Find the value of $\sqrt[3]{- 8}$
234824	Subtract	-7a^2+3a-9-5a^2-6a-4	$- 7 a^{2} + 3 a - 9 - 5 a^{2} - 6 a - 4$
234825	Simplify	(x)(x)(x)(x)	$(x) (x) (x) (x)$
234826	Solve the Inequality for x	x+5<0	$x + 5 < 0$
234827	Evaluate	((2mn)^4)/(6m^-3n^-2)	$\frac{{(2 m n)}^{4}}{6 m^{- 3} n^{- 2}}$
234828	Solve the Inequality for h	-8>h-4	$- 8 > h - 4$
234829	Evaluate	2^(2^(2^(2^2)))	$2^{2^{2^{2^{2}}}}$
234830	Simplify	(8x^3y^12z^-2)/(24x^23y^4z^-2)	$\frac{8 x^{3} y^{12} z^{- 2}}{24 x^{23} y^{4} z^{- 2}}$
234831	Solve the Inequality for p	7p-11p+3>=3-4p	$7 p - 11 p + 3 \geq 3 - 4 p$
234832	Evaluate	square root of 3+( square root of 3)/2	$\sqrt{3} + \frac{\sqrt{3}}{2}$
234833	Evaluate	((1/8)^(1/3))^-2	${({(\frac{1}{8})}^{\frac{1}{3}})}^{- 2}$
234834	Write Using Positive Exponents	x^6y^-2	$x^{6} y^{- 2}$
234835	Simplify	(x- square root of 8)(x+ square root of 8)	$(x - \sqrt{8}) (x + \sqrt{8})$
234836	Solve the System of Inequalities	x<-6 and x<6	$x < - 6$ and $x < 6$
234837	Simplify	((3xy)/(2x^2))^-2	${(\frac{3 x y}{2 x^{2}})}^{- 2}$
234838	Evaluate	cube root of 2^4*5^5	$\sqrt[3]{2^{4} \cdot 5^{5}}$
234839	Simplify the Radical Expression	(-12 square root of 12)(-3 square root of 3)	$(- 12 \sqrt{12}) (- 3 \sqrt{3})$
234840	Evaluate	8-43(-2^3)	$8 - 4 \cdot 3 \cdot (- 2^{3})$
234841	Find the Axis of Symmetry	25x^2+4y^2=100	$25 x^{2} + 4 y^{2} = 100$
234842	Simplify	square root of -49+4 cube root of 1000+5 square root of 81	$\sqrt{- 49} + 4 \sqrt[3]{1000} + 5 \sqrt{81}$
234843	Evaluate	square root of 87- square root of 36	$\sqrt{87 - \sqrt{36}}$
234844	Solve for x	y=4(x+a)	$y = 4 (x + a)$
234845	Evaluate	(1/( square root of 3))^7	${(\frac{1}{\sqrt{3}})}^{7}$
234846	Simplify	(3x^2yz^3)^3	${(3 x^{2} y z^{3})}^{3}$
234847	Write in Standard Form	y^2+x^2+4x-4y-1=0	$y^{2} + x^{2} + 4 x - 4 y - 1 = 0$
234848	Write Using Positive Exponents	7xy^-4	$7 x y^{- 4}$
234849	Evaluate	-7/3+(-5/6)	$- \frac{7}{3} + (- \frac{5}{6})$
234850	Convert to a Percentage	0.9 as a percentage	$0.9$ as a percentage
234851	Solve for f	f(x)=3(2)^x for x=-1	$f (x) = 3 {(2)}^{x}$ for $x = - 1$
234852	Simplify	sin(theta)-sin(theta)tan(theta)	$\sin (θ) - \sin (θ) \tan (θ)$
234853	Solve for x	-2 square root of x+3=-x-4	$- 2 \sqrt{x + 3} = - x - 4$
234854	Solve for x	square root of x+60 = square root of x+6	$\sqrt{x + 60} = \sqrt{x + 6}$
234855	Simplify the Radical Expression	(81x^-24y^-12)^(1/4)	${(81 x^{- 24} y^{- 12})}^{\frac{1}{4}}$
234856	Graph	y<3x+2 , 2y<=6x-4	$y < 3 x + 2$ , $2 y \leq 6 x - 4$
234857	Solve the Inequality for x	-5<=(2-3x)/4<=9	$- 5 \leq \frac{2 - 3 x}{4} \leq 9$
234858	Combine Like Terms	2/5y+1/5x-0.2y-6+(-2)	$\frac{2}{5} y + \frac{1}{5} x - 0.2 y - 6 + (- 2)$
234859	Simplify	(6y^2+18y-60)/(3y^2-12y)*(y^2-16)/(y^2+2y-8)	$\frac{6 y^{2} + 18 y - 60}{3 y^{2} - 12 y} \cdot \frac{y^{2} - 16}{y^{2} + 2 y - 8}$
234860	Evaluate	20 root of (y^-8)/(y^-3)	$\sqrt[20]{\frac{y^{- 8}}{y^{- 3}}}$
234861	Simplify	e^(2 natural log of 2)	$e^{2 \ln (2)}$
234862	Find the Excluded Values	1/(x-4)-3/(x+2)=6/(x^2-2x-8)	$\frac{1}{x - 4} - \frac{3}{x + 2} = \frac{6}{x^{2} - 2 x - 8}$
234863	Simplify	plus or minus square root of 49x^4	$\pm \sqrt{49 x^{4}}$
234864	Solve the Inequality for x	6^x>12	$6^{x} > 12$
234865	Simplify	square root of (pi- square root of 15)^2	$\sqrt{{(π - \sqrt{15})}^{2}}$
234866	Simplify	\|-12+8-(-2)\|	$\| - 12 + 8 - (- 2) \|$
234867	Simplify	sin(pi/4)cos(pi/3)+cos(pi/4)sin(pi/3)	$\sin (\frac{π}{4}) \cos (\frac{π}{3}) + \cos (\frac{π}{4}) \sin (\frac{π}{3})$
234868	Simplify the Radical Expression	((x^3y^2)^(3/2))/((x^-1y^(-2/3))^(1/4))	$\frac{{(x^{3} y^{2})}^{\frac{3}{2}}}{{(x^{- 1} y^{- \frac{2}{3}})}^{\frac{1}{4}}}$
234869	Solve for x	x(3x-8)=-5	$x (3 x - 8) = - 5$
234870	Simplify	x2/3*x1/3	$x \frac{2}{3} \cdot x \frac{1}{3}$
234871	Solve Using the Quadratic Formula	x^2+72-1200=0	$x^{2} + 72 - 1200 = 0$
234872	Solve for q	q^3+64=0	$q^{3} + 64 = 0$
234873	Solve for x	log base 6 of x+ log base 6 of x^2+ natural log of e=2	$\log_{6} (x) + \log_{6} (x^{2}) + \ln (e) = 2$
234874	Solve the Rational Equation for x	square root of x+2 = square root of x+10	$\sqrt{x} + 2 = \sqrt{x + 10}$
234875	Find All Complex Solutions	square root of x-4=5	$\sqrt{x - 4} = 5$
234876	Solve for x	x^4=16/625	$x^{4} = \frac{16}{625}$
234877	Find g(f(x))	f(x) = cube root of x-1 , g(x)=x^3+1	$f (x) = \sqrt[3]{x - 1}$ , $g (x) = x^{3} + 1$
234878	Solve the System of Equations	y=x^2-2x+2 2x+y=2	$y = x^{2} - 2 x + 2$ $2 x + y = 2$
234879	Find the Leading Coefficient	3x^5-7x^4-5x^3+18x^2-5	$3 x^{5} - 7 x^{4} - 5 x^{3} + 18 x^{2} - 5$
234880	Find the Symmetry	y=x^3+x^2-36x-36	$y = x^{3} + x^{2} - 36 x - 36$
234881	Solve the System of Equations	-6x+7y=9 and 2x-2y=-4	$- 6 x + 7 y = 9$ and $2 x - 2 y = - 4$
234882	Simplify	((x-7)^24x-2x^22(x-7))/((x-7)^4)	$\frac{{(x - 7)}^{2} \cdot 4 x - 2 x^{2} \cdot 2 (x - 7)}{{(x - 7)}^{4}}$
234883	Evaluate	(2x)/3-(x+1)/4<=-2	$\frac{2 x}{3} - \frac{x + 1}{4} \leq - 2$
234884	Solve for x	16=64^x	$16 = 64^{x}$
234885	Simplify	(2xy^-1z^0)/(-4x^3y^2)	$\frac{2 x y^{- 1} z^{0}}{- 4 x^{3} y^{2}}$
234886	Simplify	(10b^2+70b)/(8b-24)*(8b-24)/(10b^2+40b)	$\frac{10 b^{2} + 70 b}{8 b - 24} \cdot \frac{8 b - 24}{10 b^{2} + 40 b}$
234887	Simplify	3/4+5-1/2	$\frac{3}{4} + 5 - \frac{1}{2}$
234888	Solve the Absolute Value Inequality for x	4\|2x+3\|+8=20	$4 \| 2 x + 3 \| + 8 = 20$
234889	Solve for x	4/5*x+x=36	$\frac{4}{5} \cdot x + x = 36$
234890	Simplify	(x^2-2)^2+2(x^2-2)-8	${(x^{2} - 2)}^{2} + 2 (x^{2} - 2) - 8$
234891	Solve for x	(4x)/(x+2)=x	$\frac{4 x}{x + 2} = x$
234892	Write in Standard Form	4(1+4x)=x(x-7)	$4 (1 + 4 x) = x (x - 7)$
234893	Graph	(m-3)/2<=5	$\frac{m - 3}{2} \leq 5$
234894	Solve the Inequality for x	x^3>x^2	$x^{3} > x^{2}$
234895	Simplify	f(5+h)-f(5)	$f (5 + h) - f (5)$
234896	Solve for x	6 4/5=5/6x-3 1/2	$6 \frac{4}{5} = \frac{5}{6} x - 3 \frac{1}{2}$
234897	Find the GCF	x^5y^4-y^4	$x^{5} y^{4} - y^{4}$
234898	Graph	f(x)=(1-3x)/(1-x)	$f (x) = \frac{1 - 3 x}{1 - x}$
234899	Solve for x	x+3 = square root of -20+12x+3	$x + 3 = \sqrt{- 20 + 12 x + 3}$
234900	Solve the Inequality for x	e^x>2	$e^{x} > 2$