Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
212201	Simplify	27^(1/3)-16^(1/4)-4^(1/2)	$27^{\frac{1}{3}} - 16^{\frac{1}{4}} - 4^{\frac{1}{2}}$
212202	Solve for θ	tan(theta)*sin(theta)=-sin(theta)	$\tan (θ) \cdot \sin (θ) = - \sin (θ)$
212203	Multiply	square root of 2*2 square root of 2	$\sqrt{2} \cdot 2 \sqrt{2}$
212204	Simplify	(-20xy^(-1/2))/(4x^3y^(-3/4))	$\frac{- 20 x y^{- \frac{1}{2}}}{4 x^{3} y^{- \frac{3}{4}}}$
212205	Solve for x	3(x+2)=(5)	$3 (x + 2) = (5)$
212206	Solve for x	\|2x-3\|-5>=1	$\| 2 x - 3 \| - 5 \geq 1$
212207	Find All Complex Solutions	3x^2=-12	$3 x^{2} = - 12$
212208	Simplify	1/4x^2-3/8xy+1/2y^2-1/2xy+1/4y^2-3/8x^2	$\frac{1}{4} x^{2} - \frac{3}{8} x y + \frac{1}{2} y^{2} - \frac{1}{2} x y + \frac{1}{4} y^{2} - \frac{3}{8} x^{2}$
212209	Solve the System of Equations	A+B=1 A+C=0 A-B-C=0	$A + B = 1$ $A + C = 0$ $A - B - C = 0$
212210	Subtract	-5x^2+10x-1-6x^2-x+3	$- 5 x^{2} + 10 x - 1 - 6 x^{2} - x + 3$
212211	Graph Using a Table of Values	f(x)=0.5^x	$f (x) = {0.5}^{x}$
212212	Solve the Inequality for x	-2x^2+20x>=10x-100	$- 2 x^{2} + 20 x \geq 10 x - 100$
212213	Simplify	-(48c^2d^4)/(-8cd)	$- \frac{48 c^{2} d^{4}}{- 8 c d}$
212214	Solve for x	2/3x-1/6=1/3	$\frac{2}{3} x - \frac{1}{6} = \frac{1}{3}$
212215	Find the Distance Between Two Points	(-4,1) and (3,-4)	$(- 4, 1)$ and $(3, - 4)$
212216	Factor	an^2+cn^2-ap+ap^2-cp+cp^2	$a n^{2} + c n^{2} - a p + a p^{2} - c p + c p^{2}$
212217	Find the Quotient	(x^4+8x^3-3x^2-24x)÷(x-3)	$(x^{4} + 8 x^{3} - 3 x^{2} - 24 x) \div (x - 3)$
212218	Write in Standard Form	(-3a^2+2a-5)-(-2a^2+a+6)	$(- 3 a^{2} + 2 a - 5) - (- 2 a^{2} + a + 6)$
212219	Simplify	(3x+2)(3x-2)(2x-3)	$(3 x + 2) (3 x - 2) (2 x - 3)$
212220	Evaluate	-cot(pi/3)	$- \cot (\frac{π}{3})$
212221	Solve the System of Equations	-7x+4y=-9 and 5x-3y=5	$- 7 x + 4 y = - 9$ and $5 x - 3 y = 5$
212222	Simplify	((k^2)/4-9)/(k/6-1)	$\frac{\frac{k^{2}}{4} - 9}{\frac{k}{6} - 1}$
212223	Evaluate	5% of 40	$5 %$ of $40$
212224	Simplify the Radical Expression	( fifth root of 96a^7)/( fifth root of 3a^2)	$\frac{\sqrt[5]{96 a^{7}}}{\sqrt[5]{3 a^{2}}}$
212225	Simplify	-5-3w+9-6z+8w-4z	$- 5 - 3 w + 9 - 6 z + 8 w - 4 z$
212226	Solve for x	108x^3+37=5	$108 x^{3} + 37 = 5$
212227	Evaluate the Function	y=2(4)^x , x=-2	$y = 2 {(4)}^{x}$ , $x = - 2$
212228	Find the LCM	2 and 5	$2$ and $5$
212229	Multiply	(xy+5)(xy-1)	$(x y + 5) (x y - 1)$
212230	Solve the Inequality for r	\|r+1\|<=2	$\| r + 1 \| \leq 2$
212231	Solve the System of Equations	-2x+4y=-2 and -6x+8y=10	$- 2 x + 4 y = - 2$ and $- 6 x + 8 y = 10$
212232	Simplify	(12a^11b^2)/((14a^9b^10)(2a^10b^9))	$\frac{12 a^{11} b^{2}}{(14 a^{9} b^{10}) (2 a^{10} b^{9})}$
212233	Simplify	1/( square root of 2)-1/( square root of 8)+ square root of 2	$\frac{1}{\sqrt{2}} - \frac{1}{\sqrt{8}} + \sqrt{2}$
212234	Solve the System of Equations	2x+3y-2z=-7 x-2y+4z=15 2y+z=1	$2 x + 3 y - 2 z = - 7$ $x - 2 y + 4 z = 15$ $2 y + z = 1$
212235	Solve for x	-5/3+(x+3)/x=7/(3x)	$\frac{- 5}{3} + \frac{x + 3}{x} = \frac{7}{3 x}$
212236	Simplify	sum of 4x^3*2x^2-4x+3 and 7x^3-4x^2+7x+8	sum of $4 x^{3} \cdot 2 x^{2} - 4 x + 3$ and $7 x^{3} - 4 x^{2} + 7 x + 8$
212237	Simplify	cube root of 64x* fourth root of 256x^2	$\sqrt[3]{64 x} \cdot \sqrt[4]{256 x^{2}}$
212238	Write in Standard Form	(-x^2-3x+10)(x^2+x+1)	$(- x^{2} - 3 x + 10) (x^{2} + x + 1)$
212239	Simplify	(1/(512^(-1/3)))	$(\frac{1}{512^{- \frac{1}{3}}})$
212240	Simplify	y^(1/4)y^(1/4)y^(1/4)y^(1/4)	$y^{\frac{1}{4}} y^{\frac{1}{4}} y^{\frac{1}{4}} y^{\frac{1}{4}}$
212241	Simplify the Radical Expression	square root of 9/22	$\sqrt{\frac{9}{22}}$
212242	Simplify	2 square root of 2(2 square root of 7+ square root of 3)	$2 \sqrt{2} (2 \sqrt{7} + \sqrt{3})$
212243	Simplify	( square root of 27+ square root of 12)/( square root of 3)	$\frac{\sqrt{27} + \sqrt{12}}{\sqrt{3}}$
212244	Find the Equation Using Slope-Intercept Form	(3,7) ; slope 2/7	$(3, 7)$ ; slope $\frac{2}{7}$
212245	Simplify the Radical Expression	square root of 2* cube root of 6	$\sqrt{2} \cdot \sqrt[3]{6}$
212246	Evaluate	( cube root of 32x^3y^6)/( cube root of 2x^9y^2)	$\frac{\sqrt[3]{32 x^{3} y^{6}}}{\sqrt[3]{2 x^{9} y^{2}}}$
212247	Solve for x	2 square root of x-9>=-4	$2 \sqrt{x} - 9 \geq - 4$
212248	Graph	x^(-)1/2	$x^{-} \frac{1}{2}$
212249	Write in Standard Form	2x-x^3+8x^2-10x^5+5	$2 x - x^{3} + 8 x^{2} - 10 x^{5} + 5$
212250	Solve the Inequality for d	-0.6>-0.3(d+6)	$- 0.6 > - 0.3 (d + 6)$
212251	Simplify	(5^-2(3)^-2)/(6^-1)	$\frac{5^{- 2} {(3)}^{- 2}}{6^{- 1}}$
212252	Simplify	3y-10-2x-6+6y+x	$3 y - 10 - 2 x - 6 + 6 y + x$
212253	Simplify the Radical Expression	square root of a( square root of a^3-7)	$\sqrt{a} (\sqrt{a^{3}} - 7)$
212254	Simplify	( square root of 400x)/( square root of 5x)	$\frac{\sqrt{400 x}}{\sqrt{5 x}}$
212255	Write in Standard Form	(-5x^2-9x+6)+(6x^2+10)	$(- 5 x^{2} - 9 x + 6) + (6 x^{2} + 10)$
212256	Write in Slope-Intercept Form	(6,2) and (-3,-7)	$(6, 2)$ and $(- 3, - 7)$
212257	Graph	y> square root of x+5+1	$y > \sqrt{x + 5} + 1$
212258	Multiply	(6x-12)/(x^2-9x+18)*(7x-21)/(5x-10)	$\frac{6 x - 12}{x^{2} - 9 x + 18} \cdot \frac{7 x - 21}{5 x - 10}$
212259	Simplify	(4x)/(4x^2+9)*(6x-9)/(12x)	$\frac{4 x}{4 x^{2} + 9} \cdot \frac{6 x - 9}{12 x}$
212260	Find the Excluded Values	(5x^2+25x)/2*(4x)/(x+5)	$\frac{5 x^{2} + 25 x}{2} \cdot \frac{4 x}{x + 5}$
212261	Simplify	8p(p+6)-7p(3-8p)	$8 p (p + 6) - 7 p (3 - 8 p)$
212262	Solve the Inequality for p	39>13p	$39 > 13 p$
212263	Evaluate	3x+5y+x-2y	$3 x + 5 y + x - 2 y$
212264	Find the Roots (Zeros)	(x-7)(x^2-5x)	$(x - 7) (x^{2} - 5 x)$
212265	Convert to a Decimal	1 Points	$1$ Points
212266	Solve for B	6=10B+12C	$6 = 10 B + 12 C$
212267	Solve the System of Equations	9x^2+4y^2=36 y=9/2x-3	$9 x^{2} + 4 y^{2} = 36$ $y = \frac{9}{2} x - 3$
212268	Evaluate	2(3-8y)	$2 (3 - 8 y)$
212269	Simplify	2y+7-5y+6y-3+y	$2 y + 7 - 5 y + 6 y - 3 + y$
212270	Multiply	(x^2+xy-y^2)(x+y)	$(x^{2} + x y - y^{2}) (x + y)$
212271	Simplify	(f^-3g^5h^8)^-3	${(f^{- 3} g^{5} h^{8})}^{- 3}$
212272	Solve for x	2(x-1)^(1/5)=(2x-17)^(1/5)	$2 {(x - 1)}^{\frac{1}{5}} = {(2 x - 17)}^{\frac{1}{5}}$
212273	Simplify	2/(1/a+1/b)	$\frac{2}{\frac{1}{a} + \frac{1}{b}}$
212274	Simplify	(x^2-2x-8)/(x^2+3x+2)*(4x+4)/(x^2-x-12)	$\frac{x^{2} - 2 x - 8}{x^{2} + 3 x + 2} \cdot \frac{4 x + 4}{x^{2} - x - 12}$
212275	Solve for t	t=42-0.7t	$t = 42 - 0.7 t$
212276	Simplify the Radical Expression	(x^6)/(x^8)	$\frac{x^{6}}{x^{8}}$
212277	Solve the Inequality for d	-4<=(d+2)/3<2	$- 4 \leq \frac{d + 2}{3} < 2$
212278	Find the Roots (Zeros)	square root of 5x-5=5	$\sqrt{5 x - 5} = 5$
212279	Solve by Factoring	x^3-16x=x^2-16	$x^{3} - 16 x = x^{2} - 16$
212280	Simplify	(mm^-4)/(p^0q^-2)	$\frac{{mm}^{- 4}}{p^{0} q^{- 2}}$
212281	Solve for d	5d(d+1)+6=0	$5 d (d + 1) + 6 = 0$
212282	Simplify	((x+3)/(x^2+8x+15))÷((x^2-25)/(x-5))	$\frac{x + 3}{x^{2} + 8 x + 15} \div \frac{x^{2} - 25}{x - 5}$
212283	Solve for x	natural log of x^2-10+ natural log of 9 = natural log of 10	$\ln (x^{2} - 10) + \ln (9) = \ln (10)$
212284	Solve for x	3(x-2)=2-2/3(x+1)	$3 (x - 2) = 2 - \frac{2}{3} (x + 1)$
212285	Find the x and y Intercepts	f(x)=1/8(1/4)^(x-2)	$f (x) = \frac{1}{8} {(\frac{1}{4})}^{x - 2}$
212286	Simplify	-11ab cube root of a^12b^18	$- 11 a b \sqrt[3]{a^{12} b^{18}}$
212287	Simplify	square root of 5* cube root of 5* fourth root of 5	$\sqrt{5} \cdot \sqrt[3]{5} \cdot \sqrt[4]{5}$
212288	Convert to Interval Notation	-x-6>=-5 or -2x-5>4	$- x - 6 \geq - 5$ or $- 2 x - 5 > 4$
212289	Multiply	square root of 3(5+ square root of 3)	$\sqrt{3} (5 + \sqrt{3})$
212290	Solve for x	fourth root of (2x-1)^3=27	$\sqrt[4]{{(2 x - 1)}^{3}} = 27$
212291	Simplify	(9x^6-4x^5)+(10x^5-15x^4+14)	$(9 x^{6} - 4 x^{5}) + (10 x^{5} - 15 x^{4} + 14)$
212292	Find the Roots (Zeros)	f(x)=16x-22x^3+6x^6+19x^5-3	$f (x) = 16 x - 22 x^{3} + 6 x^{6} + 19 x^{5} - 3$
212293	Simplify	((x^-5)^2*x^15)/(x^3)	$\frac{{(x^{- 5})}^{2} \cdot x^{15}}{x^{3}}$
212294	Rationalize the Denominator	3 square root of 5/4	$3 \sqrt{\frac{5}{4}}$
212295	Simplify	(0-x)^2	${(0 - x)}^{2}$
212296	Simplify the Radical Expression	( square root of 20x+5)/( square root of 5x)	$\frac{\sqrt{20 x + 5}}{\sqrt{5 x}}$
212297	Simplify	(-8m)/(15v^4)-4/(25mv^2)	$\frac{- 8 m}{15 v^{4}} - \frac{4}{25 m v^{2}}$
212298	Simplify	(-12x)/3+5x	$\frac{- 12 x}{3} + 5 x$
212299	Simplify	(-1296^(3/4))	$(- 1296^{\frac{3}{4}})$
212300	Factor by Grouping	45x^5y^7+33x^3y^3+78x^2y^4	$45 x^{5} y^{7} + 33 x^{3} y^{3} + 78 x^{2} y^{4}$