Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
13101	Find the Domain	g(t)=2t-5	$g (t) = 2 t - 5$
13102	Find the Domain	h(x)=10x-3	$h (x) = 10 x - 3$
13103	Find the Degree	5x^6y^3	$5 x^{6} y^{3}$
13104	Find the Degree	5a^2bc+6a^2b^3c-7b^2c^7	$5 a^{2} b c + 6 a^{2} b^{3} c - 7 b^{2} c^{7}$
13105	Simplify/Condense	log base 4 of 64	$\log_{4} (64)$
13106	Expand the Logarithmic Expression	log base 2 of square root of 2	$\log_{2} (\sqrt{2})$
13107	Convert to Radical Form	3+x^(3/4)	$3 + x^{\frac{3}{4}}$
13108	Expand the Logarithmic Expression	log of (6/5)^6	$\log ({(\frac{6}{5})}^{6})$
13109	Convert to Radical Form	x3/4	$x \frac{3}{4}$
13110	Expand the Logarithmic Expression	log base 5 of 5x^-5	$\log_{5} (5 x^{- 5})$
13111	Convert to Radical Form	x^(-7/6)	$x^{- \frac{7}{6}}$
13112	Expand the Logarithmic Expression	log base 7 of 7x	$\log_{7} (7 x)$
13113	Find the Quadrant	(0,3)	$(0, 3)$
13114	Find the Slope and y-intercept	20x+4y=16	$20 x + 4 y = 16$
13115	Rationalize the Denominator	3/(7+ square root of 2)	$\frac{3}{7 + \sqrt{2}}$
13116	Evaluate	log of 125	$\log (125)$
13117	Rationalize the Denominator	(4x)/( square root of 9x+8)	$\frac{4 x}{\sqrt{9 x + 8}}$
13118	Evaluate	natural log of e^-6	$\ln (e^{- 6})$
13119	Find the Discriminant	2x(x-4)=x+5	$2 x (x - 4) = x + 5$
13120	Evaluate	log base 16 of 1	$\log_{16} (1)$
13121	Find the Maximum/Minimum Value	f(x)=x^2-16x+71	$f (x) = x^{2} - 16 x + 71$
13122	Evaluate	log base 2 of 1/( square root of 2)	$\log_{2} (\frac{1}{\sqrt{2}})$
13123	Find the Maximum/Minimum Value	f(x)=4(x+2)^2-6	$f (x) = 4 {(x + 2)}^{2} - 6$
13124	Evaluate	log base 4 of 4^6	$\log_{4} (4^{6})$
13125	Find the Maximum/Minimum Value	f(x)=2/3x^2+4x+1	$f (x) = \frac{2}{3} x^{2} + 4 x + 1$
13126	Evaluate	log base 4 of 4^2	$\log_{4} (4^{2})$
13127	Divide Using Synthetic Division	(x^3+8x^2-3x-90)÷(x+5)	$(x^{3} + 8 x^{2} - 3 x - 90) \div (x + 5)$
13128	Evaluate	log base 6 of 15	$\log_{6} (15)$
13129	Convert to Logarithmic Form	64=8^2	$64 = 8^{2}$
13130	Find the Vertex	f(x)=x^2-2x+9	$f (x) = x^{2} - 2 x + 9$
13131	Convert to Logarithmic Form	7^4=2401	$7^{4} = 2401$
13132	Convert to Logarithmic Form	4^4=256	$4^{4} = 256$
13133	Convert to Logarithmic Form	1/16=4^-2	$\frac{1}{16} = 4^{- 2}$
13134	Write as a Function of y	y^2=4x	$y^{2} = 4 x$
13135	Expand the Logarithmic Expression	log of cube root of xyz	$\log (\sqrt[3]{x \cdot y \cdot z})$
13136	Expand the Logarithmic Expression	log of 6x^3y	$\log (6 x^{3} y)$
13137	Find the Magnitude	\| square root of 3+i\|	$\| \sqrt{3} + i \|$
13138	Expand the Trigonometric Expression	(-2h+9)(9h-2)	$(- 2 h + 9) (9 h - 2)$
13139	Expand the Trigonometric Expression	(d^2+3)(d^2+2d+1)	$(d^{2} + 3) (d^{2} + 2 d + 1)$
13140	Evaluate	20/2	$\frac{20}{2}$
13141	Evaluate	14/4	$\frac{14}{4}$
13142	Evaluate	16/6	$\frac{16}{6}$
13143	Evaluate	16/12	$\frac{16}{12}$
13144	Evaluate the Function	f(-4)=2^x	$f (- 4) = 2^{x}$
13145	Find the Slope of a Perpendicular Line	y=-2/5x+4/5	$y = - \frac{2}{5} x + \frac{4}{5}$
13146	Evaluate	2/5+3/10	$\frac{2}{5} + \frac{3}{10}$
13147	Find the Domain and Range	log of x-5	$\log (x) - 5$
13148	Evaluate	18/25	$\frac{18}{25}$
13149	Find the GCF	14x^5+7x^3	$14 x^{5} + 7 x^{3}$
13150	Evaluate	(5/4)^2	${(\frac{5}{4})}^{2}$
13151	Find Where Undefined/Discontinuous	(6y^3+2y^2)/(10y^2)	$\frac{6 y^{3} + 2 y^{2}}{10 y^{2}}$
13152	Find Where Undefined/Discontinuous	(x^2+7x+1)/(x^2+2x-15)	$\frac{x^{2} + 7 x + 1}{x^{2} + 2 x - 15}$
13153	Find Where Undefined/Discontinuous	(z^2-196)/(1372+98z-14z^2)	$\frac{z^{2} - 196}{1372 + 98 z - 14 z^{2}}$
13154	Find Where Undefined/Discontinuous	(x^4-2x^3+x^2)/(14x^4-8x^3-6x^2)	$\frac{x^{4} - 2 x^{3} + x^{2}}{14 x^{4} - 8 x^{3} - 6 x^{2}}$
13155	Find Three Ordered Pair Solutions	5x-4y=-18	$5 x - 4 y = - 18$
13156	Evaluate	(3/5)^4	${(\frac{3}{5})}^{4}$
13157	Identify the Sequence	4 , -16 , 64 , -256	$4$ , $- 16$ , $64$ , $- 256$
13158	Evaluate	(8/5)^-1	${(\frac{8}{5})}^{- 1}$
13159	Evaluate	(-36)^(-3/2)	${(- 36)}^{- \frac{3}{2}}$
13160	Find the Slope	(-9,-3) , (7,-7)	$(- 9, - 3) (7, - 7)$
13161	Evaluate	(2/7)^-2	${(\frac{2}{7})}^{- 2}$
13162	Evaluate	(27/125)^(-4/3)	${(\frac{27}{125})}^{- \frac{4}{3}}$
13163	Find the Distance Between Two Points	(3 square root of 2,4 square root of 3) , (3 square root of 2,- square root of 3)	$(3 \sqrt{2}, 4 \sqrt{3}) (3 \sqrt{2}, - \sqrt{3})$
13164	Evaluate	(1/9)^2	${(\frac{1}{9})}^{2}$
13165	Evaluate	(1/5)^0	${(\frac{1}{5})}^{0}$
13166	Convert to a Decimal	7.75%	$7.75 %$
13167	Evaluate	-1/2	$\frac{- 1}{2}$
13168	Convert to a Decimal	9/50	$\frac{9}{50}$
13169	Evaluate	1/2+2/5	$\frac{1}{2} + \frac{2}{5}$
13170	Convert to a Decimal	85/99	$\frac{85}{99}$
13171	Convert to a Decimal	42.5%	$42.5 %$
13172	Convert to a Decimal	4.8%	$4.8 %$
13173	Convert to a Decimal	48.12%	$48.12 %$
13174	Convert to a Decimal	50/3	$\frac{50}{3}$
13175	Convert to a Decimal	41/90	$\frac{41}{90}$
13176	Factor by Grouping	3x^3-6x+7x^2y-14y	$3 x^{3} - 6 x + 7 x^{2} y - 14 y$
13177	Convert to a Simplified Fraction	0.9	$0.9$
13178	Factor by Grouping	12a^2-4ac+3ab-bc	$12 a^{2} - 4 a c + 3 a b - b c$
13179	Convert to a Simplified Fraction	0.0625	$0.0625$
13180	Factor by Grouping	25r^3+10r^2-10r-4	$25 r^{3} + 10 r^{2} - 10 r - 4$
13181	Convert to a Simplified Fraction	0.84	$0.84$
13182	Factor by Grouping	2ab-6ac+3b-9c	$2 a b - 6 a c + 3 b - 9 c$
13183	Convert to a Simplified Fraction	3.8	$3.8$
13184	Solve by Completing the Square	y^2-12y=-35	$y^{2} - 12 y = - 35$
13185	Convert to a Simplified Fraction	12.5	$12.5$
13186	Find the LCD	6/(5x^4y) , 8/(19xy^2) , 12/(2xy)	$\frac{6}{5 x^{4} y}$ , $\frac{8}{19 x y^{2}}$ , $\frac{12}{2 x y}$
13187	Find the Domain and Range	p(x)=6^(-x)	$p (x) = 6^{- x}$
13188	Write in Standard Form	-x^2+5=(4x-1)^2	$- x^{2} + 5 = {(4 x - 1)}^{2}$
13189	Evaluate	6*1/3	$6 \cdot \frac{1}{3}$
13190	Write in Standard Form	-x^2+10x+y-21=0	$- x^{2} + 10 x + y - 21 = 0$
13191	Evaluate	5*25	$5 \cdot 25$
13192	Write in Standard Form	y=(x-4)^2+22	$y = {(x - 4)}^{2} + 22$
13193	Write in Standard Form	y=(x+5)(x-1)(x-2)	$y = (x + 5) (x - 1) (x - 2)$
13194	Find the Asymptotes	f(x)=24/(1+3e^(-1.3x))	$f (x) = \frac{24}{1 + 3 e^{- 1.3 x}}$
13195	Graph	y=-1/2x-3	$y = - \frac{1}{2} x - 3$
13196	Find the Asymptotes	f(x)=3/((x+2)(x-7))	$f (x) = \frac{3}{(x + 2) (x - 7)}$
13197	Simplify	square root of 8x^3+24x^2+18x	$\sqrt{8 x^{3} + 24 x^{2} + 18 x}$
13198	Find the Asymptotes	f(x)=3/(x(x-5)(x+1))	$f (x) = \frac{3}{x (x - 5) (x + 1)}$
13199	Find the Prime Factorization	37	$37$
13200	Multiply	(x^3)^2	${(x^{3})}^{2}$