Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
118201	Find Where Undefined/Discontinuous	(3x^2+19x+6)/(9x^2-1)*(3x^2+2x-1)/(x^2+5x-6)	$\frac{3 x^{2} + 19 x + 6}{9 x^{2} - 1} \cdot \frac{3 x^{2} + 2 x - 1}{x^{2} + 5 x - 6}$
118202	Find the 6th Term	2 , 1 , -2 , -7 , -14	$2$ , $1$ , $- 2$ , $- 7$ , $- 14$
118203	Convert to an Improper Fraction	6 2/9	$6 \frac{2}{9}$
118204	Convert to an Improper Fraction	8 9/10	$8 \frac{9}{10}$
118205	Identify the Zeros and Their Multiplicities	x^3-38x^2+361x	$x^{3} - 38 x^{2} + 361 x$
118206	Identify the Zeros and Their Multiplicities	f(x)=(x-1)^3(x+2)^2	$f (x) = {(x - 1)}^{3} {(x + 2)}^{2}$
118207	Identify the Zeros and Their Multiplicities	f(x)=-2x(3x+1)^2(x+7)^7	$f (x) = - 2 x {(3 x + 1)}^{2} {(x + 7)}^{7}$
118208	Identify the Zeros and Their Multiplicities	f(x)=x^4-30x^2+125	$f (x) = x^{4} - 30 x^{2} + 125$
118209	Find the Vertex	y=-6(x+4)^2-3	$y = - 6 {(x + 4)}^{2} - 3$
118210	Find the Vertex	y=x^2-6x+17	$y = x^{2} - 6 x + 17$
118211	Find the Vertex	y=-1/4x^2-1/5x	$y = - \frac{1}{4} x^{2} - \frac{1}{5} x$
118212	Find the Vertex	y=2(x-7)^2	$y = 2 {(x - 7)}^{2}$
118213	Find the Vertex	y=4x^2+16x+5	$y = 4 x^{2} + 16 x + 5$
118214	Find the Vertex	y=4-2x-x^2	$y = 4 - 2 x - x^{2}$
118215	Find the Roots (Zeros)	12x^3+16x^2-15x+2=0	$12 x^{3} + 16 x^{2} - 15 x + 2 = 0$
118216	Find the Roots (Zeros)	1/2x(x-7)(x+9)=0	$\frac{1}{2} x (x - 7) (x + 9) = 0$
118217	Find the Roots (Zeros)	2x^4-9x^3+21x^2-54x+54=0	$2 x^{4} - 9 x^{3} + 21 x^{2} - 54 x + 54 = 0$
118218	Find the Roots (Zeros)	-4x^4-44x^2+3600=0	$- 4 x^{4} - 44 x^{2} + 3600 = 0$
118219	Find the Roots (Zeros)	5x^3=1080	$5 x^{3} = 1080$
118220	Find the Roots (Zeros)	x^4+125x=0	$x^{4} + 125 x = 0$
118221	Find the Roots (Zeros)	x^3-4x^2+9x-36=0	$x^{3} - 4 x^{2} + 9 x - 36 = 0$
118222	Find the Roots (Zeros)	x^4+3x^3-4x^2+2x=0	$x^{4} + 3 x^{3} - 4 x^{2} + 2 x = 0$
118223	Evaluate Using Scientific Notation	(810^24)/(210^18)	$\frac{8 \cdot 10^{24}}{2 \cdot 10^{18}}$
118224	Evaluate Using Scientific Notation	(3.8*10^9)/400	$\frac{3.8 \cdot 10^{9}}{400}$
118225	Solve for x	3>1-x/2>-3	$3 > 1 - \frac{x}{2} > - 3$
118226	Reduce the Fraction	100/180	$\frac{100}{180}$
118227	Reduce the Fraction	110/360	$\frac{110}{360}$
118228	Convert from Radians to Degrees	(-3pi)/2	$\frac{- 3 π}{2}$
118229	Convert from Radians to Degrees	arcsin(5/13)	$\arcsin (\frac{5}{13})$
118230	Find the Distance Between Two Points	(3 square root of 3, square root of 5) , (- square root of 3,4 square root of 5)	$(3 \sqrt{3}, \sqrt{5}) (- \sqrt{3}, 4 \sqrt{5})$
118231	Find the Distance Between Two Points	(0,-4) , (7,3)	$(0, - 4) (7, 3)$
118232	Find a,b,c	4x^2-8x=3	$4 x^{2} - 8 x = 3$
118233	Find the Domain and Range	-x^3+8x^2-15x	$- x^{3} + 8 x^{2} - 15 x$
118234	Find the Domain and Range	1/2 log of 3x	$\frac{1}{2} \log (3 x)$
118235	Find the Domain and Range	square root of x-7	$\sqrt{x} - 7$
118236	Find the Domain and Range	(5x)/(x-1)	$\frac{5 x}{x - 1}$
118237	Convert to a Percentage	68/80	$\frac{68}{80}$
118238	Convert to a Percentage	44/80	$\frac{44}{80}$
118239	Convert to a Percentage	43/25	$\frac{43}{25}$
118240	Convert to a Percentage	16/80	$\frac{16}{80}$
118241	Find the Domain and Range	y=-16/x	$y = - \frac{16}{x}$
118242	Find the Domain and Range	x^2+9y^2=25	$x^{2} + 9 y^{2} = 25$
118243	Find the Domain and Range	y=6/(x+4)-7	$y = \frac{6}{x + 4} - 7$
118244	Find the Domain and Range	y=-4cos(x)	$y = - 4 \cos (x)$
118245	Find the Domain and Range	y=tan(pi/3x)	$y = \tan (\frac{π}{3} x)$
118246	Convert to Scientific Notation	0.000368	$0.000368$
118247	Convert to Scientific Notation	0.0000475	$0.0000475$
118248	Convert to Scientific Notation	22000	$22000$
118249	Convert to Scientific Notation	0.000085	$0.000085$
118250	Convert to Scientific Notation	1.210^-1+6.010^-2	$1.2 \cdot 10^{- 1} + 6 \cdot 10^{- 2}$
118251	Convert to Scientific Notation	0.0000957	$0.0000957$
118252	Convert to Scientific Notation	(6.4710^-15)/(3.3610^-29)	$\frac{6.47 \cdot 10^{- 15}}{3.36 \cdot 10^{- 29}}$
118253	Convert to Scientific Notation	(810^7)/(510^5)	$\frac{8 \cdot 10^{7}}{5 \cdot 10^{5}}$
118254	Find the Difference Quotient	f(x)=-2x^2+2x-2	$f (x) = - 2 x^{2} + 2 x - 2$
118255	Find the Difference Quotient	f(x)=-5x+9	$f (x) = - 5 x + 9$
118256	Find the Difference Quotient	f(x)=-5x+8	$f (x) = - 5 x + 8$
118257	Convert to Logarithmic Form	e^-1=0.368	$e^{- 1} = 0.368$
118258	Convert to Logarithmic Form	x^y=178	$x^{y} = 178$
118259	Convert to Logarithmic Form	3=27^(1/3)	$3 = 27^{\frac{1}{3}}$
118260	Find the Vertex Form	y=x^2-5x-11	$y = x^{2} - 5 x - 11$
118261	Find the Vertex Form	x=y^2-4y+4	$x = y^{2} - 4 y + 4$
118262	Find the Vertex Form	y=-5x^2+x+1	$y = - 5 x^{2} + x + 1$
118263	Convert to Logarithmic Form	-100*2^(0.5y)=-5	$- 100 \cdot 2^{0.5 y} = - 5$
118264	Find df/dr	f=(GMm)/(r^2)	$f = \frac{G M m}{r^{2}}$
118265	Find dF/dG	F=(GmM)/(r^2)	$F = \frac{G m M}{r^{2}}$
118266	Solve by Graphing	-x^2-12x-27=0	$- x^{2} - 12 x - 27 = 0$
118267	Solve by Factoring	3x(x-2)=6x^2-7x	$3 x (x - 2) = 6 x^{2} - 7 x$
118268	Solve by Factoring	3x^2+300=0	$3 x^{2} + 300 = 0$
118269	Solve by Factoring	x(3x+16)=12	$x (3 x + 16) = 12$
118270	Solve by Factoring	15x^2-3x=3-7x	$15 x^{2} - 3 x = 3 - 7 x$
118271	Solve by Factoring	3x^2+13x-38=0	$3 x^{2} + 13 x - 38 = 0$
118272	Solve by Factoring	x^2-4x=77	$x^{2} - 4 x = 77$
118273	Solve by Factoring	log base 2 of 2x^3-8-2 log base 2 of x = log base 2 of x	$\log_{2} (2 x^{3} - 8) - 2 \log_{2} (x) = \log_{2} (x)$
118274	Solve by Factoring	12x^2+13x=5x	$12 x^{2} + 13 x = 5 x$
118275	Solve by Factoring	x^3-4x^2-16x+64=0	$x^{3} - 4 x^{2} - 16 x + 64 = 0$
118276	Solve by Factoring	25x^2+1=10	$25 x^{2} + 1 = 10$
118277	Solve by Factoring	y^3-64=0	$y^{3} - 64 = 0$
118278	Write in Standard Form	5x^4+8x^5-2x+3	$5 x^{4} + 8 x^{5} - 2 x + 3$
118279	Write in Standard Form	(9+m)(-m+9)	$(9 + m) (- m + 9)$
118280	Write in Standard Form	-2q+7	$- 2 q + 7$
118281	Write in Standard Form	(6+12i)/(2i)	$\frac{6 + 12 i}{2 i}$
118282	Write in Standard Form	10x-7+x^4+4x^3	$10 x - 7 + x^{4} + 4 x^{3}$
118283	Write in Standard Form	(6+ square root of -48)/2	$\frac{6 + \sqrt{- 48}}{2}$
118284	Solve by Factoring	6x^2=48x	$6 x^{2} = 48 x$
118285	Solve by Factoring	x^3+6x^2-16x-96=0	$x^{3} + 6 x^{2} - 16 x - 96 = 0$
118286	Write in Standard Form	(-x^3+26x^2-7x-13)+(6x^4-x^3+8x+27)	$(- x^{3} + 26 x^{2} - 7 x - 13) + (6 x^{4} - x^{3} + 8 x + 27)$
118287	Write in Standard Form	12x^2+6-7x^5+3x^3+7x^4-5x	$12 x^{2} + 6 - 7 x^{5} + 3 x^{3} + 7 x^{4} - 5 x$
118288	Write in Standard Form	(3x^3+9x^2-2x)-(7x^3-6x^2+1)	$(3 x^{3} + 9 x^{2} - 2 x) - (7 x^{3} - 6 x^{2} + 1)$
118289	Convert to Regular Notation	0.9*10^-3	$0.9 \cdot 10^{- 3}$
118290	Convert to Regular Notation	4.39*10^-5	$4.39 \cdot 10^{- 5}$
118291	Convert to Regular Notation	2.01*10^-5	$2.01 \cdot 10^{- 5}$
118292	Convert to Regular Notation	6.8*10^-3	$6.8 \cdot 10^{- 3}$
118293	Convert to Regular Notation	4.91*10^11	$4.91 \cdot 10^{11}$
118294	Find the Asymptotes	y=1+ natural log of -x	$y = 1 + \ln (- x)$
118295	Find the Asymptotes	y=tan(x-pi/3)	$y = \tan (x - \frac{π}{3})$
118296	Expand the Trigonometric Expression	(5a+2)(a+4)	$(5 a + 2) (a + 4)$
118297	Write with Rational (Fractional) Exponents	fourth root of 16x^2y^6	$\sqrt[4]{16 x^{2} y^{6}}$
118298	Write with Rational (Fractional) Exponents	( fifth root of -21)^6	${(\sqrt[5]{- 21})}^{6}$
118299	Multiply the Matrices	-5[[-3,2,4],[1,0,6]]	$- 5 [\begin{array}{c} - 3 & 2 & 4 \\ 1 & 0 & 6 \end{array}]$
118300	Find All Complex Number Solutions	z=6.2+37i	$z = 6.2 + 37 i$