Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
12101	Solve for r	p=(r-c)/n	$p = \frac{r - c}{n}$
12102	Solve for r	A=4pr^2	$A = 4 p r^{2}$
12103	Write in Standard Form	10y=12x+0.7	$10 y = 12 x + 0.7$
12104	Solve for x	27^x=243	$27^{x} = 243$
12105	Divide Using Synthetic Division	(2x^3-3x^2-5x-12)/(x-3)	$\frac{2 x^{3} - 3 x^{2} - 5 x - 12}{x - 3}$
12106	Solve for x	\|x-3\|=9	$\| x - 3 \| = 9$
12107	Solve for x	\|4x-3\|=6	$\| 4 x - 3 \| = 6$
12108	Find the End Behavior	f(x)=4x(x-4)(x+2)	$f (x) = 4 x (x - 4) (x + 2)$
12109	Solve for x	e^(2x)-6e^x+5=0	$e^{2 x} - 6 e^{x} + 5 = 0$
12110	Solve for x	e^(2x)-7e^x+6=0	$e^{2 x} - 7 e^{x} + 6 = 0$
12111	Find Three Ordered Pair Solutions	-4x+7=2y-3	$- 4 x + 7 = 2 y - 3$
12112	Solve for x	log base 36 of x=1/2	$\log_{36} (x) = \frac{1}{2}$
12113	Find Three Ordered Pair Solutions	3x+3y=-x+5y	$3 x + 3 y = - x + 5 y$
12114	Solve for x	log base 9 of 3=x	$\log_{9} (3) = x$
12115	Convert to a Decimal	63/75	$\frac{63}{75}$
12116	Solve for x	log base x of 8=-3	$\log_{x} (8) = - 3$
12117	Convert to a Decimal	4.25%	$4.25 %$
12118	Solve for x	log base x of 625=4	$\log_{x} (625) = 4$
12119	Convert to a Decimal	43%	$43 %$
12120	Solve for x	log base x of 25=-2	$\log_{x} (25) = - 2$
12121	Convert to a Decimal	6.2%	$6.2 %$
12122	Solve for x	6^x=36	$6^{x} = 36$
12123	Solve for x	3(x-4)>=5x+2	$3 (x - 4) \geq 5 x + 2$
12124	Factor by Grouping	x^3-4x^2+7x-28	$x^{3} - 4 x^{2} + 7 x - 28$
12125	Solve for x	natural log of x+ natural log of x^2=5	$\ln (x) + \ln (x^{2}) = 5$
12126	Solve for x	2x+3y=8	$2 x + 3 y = 8$
12127	Find the Roots (Zeros)	f(x)=x^3-4x^2-12x	$f (x) = x^{3} - 4 x^{2} - 12 x$
12128	Find the Roots (Zeros)	f(x)=x^2-13x+30	$f (x) = x^{2} - 13 x + 30$
12129	Find the Roots (Zeros)	f(x)=x^3-13x^2+47x-35	$f (x) = x^{3} - 13 x^{2} + 47 x - 35$
12130	Find the Roots (Zeros)	f(x)=4x^3-7x^2-2x+3	$f (x) = 4 x^{3} - 7 x^{2} - 2 x + 3$
12131	Simplify	square root of 320x^8y^19	$\sqrt{320 x^{8} y^{19}}$
12132	Find the Perfect Square Trinomial	x^2+13x+	$x^{2} + 13 x +$
12133	Solve for x	4^x=(1/8)^(x+5)	$4^{x} = {(\frac{1}{8})}^{x + 5}$
12134	Expand the Trigonometric Expression	(7g+3)(-g-3)	$(7 g + 3) (- g - 3)$
12135	Solve for y	2x-3y=8	$2 x - 3 y = 8$
12136	Expand the Trigonometric Expression	-5g^2(g^2-4g)	$- 5 g^{2} (g^{2} - 4 g)$
12137	Simplify	(3x+4)(2x-6)	$(3 x + 4) (2 x - 6)$
12138	Write with Rational (Fractional) Exponents	3 square root of x^2	$3 \sqrt{x^{2}}$
12139	Simplify	(-6-5i)(1+3i)	$(- 6 - 5 i) (1 + 3 i)$
12140	Write with Rational (Fractional) Exponents	( fourth root of x)^5	${(\sqrt[4]{x})}^{5}$
12141	Simplify	(1-i)(i-2)	$(1 - i) (i - 2)$
12142	Solve for y	y=5	$y = 5$
12143	Find Where Undefined/Discontinuous	(4y^2-18y+18)/(y^3-6y^2+9y)	$\frac{4 y^{2} - 18 y + 18}{y^{3} - 6 y^{2} + 9 y}$
12144	Solve for x	x^2-8x+15=0	$x^{2} - 8 x + 15 = 0$
12145	Expand Using the Binomial Theorem	(2x+3y)^4	${(2 x + 3 y)}^{4}$
12146	Find the Average	[-4,-1]	$[- 4, - 1]$
12147	Find the Asymptotes	f(x)=(x+4)/(x^2+5x-24)	$f (x) = \frac{x + 4}{x^{2} + 5 x - 24}$
12148	Solve for x	x^2-3x-28=0	$x^{2} - 3 x - 28 = 0$
12149	Find the Asymptotes	p(x)=(13x+12)/(23x-12)	$p (x) = \frac{13 x + 12}{23 x - 12}$
12150	Solve for x	x^2+3x-4=0	$x^{2} + 3 x - 4 = 0$
12151	Convert to a Simplified Fraction	78%	$78 %$
12152	Solve for x	x^2=121	$x^{2} = 121$
12153	Write in Standard Form	c^2(c^2-10c+25)	$c^{2} (c^{2} - 10 c + 25)$
12154	Write in Standard Form	(9+6i)-(1+3i)	$(9 + 6 i) - (1 + 3 i)$
12155	Simplify	(a^-3b^-3)^0	${(a^{- 3} b^{- 3})}^{0}$
12156	Write in Standard Form	(7+3i)+(6-i)	$(7 + 3 i) + (6 - i)$
12157	Simplify	(2x^2)^4	${(2 x^{2})}^{4}$
12158	Write in Standard Form	2/3a+5a^3+4a^4-2a^5	$\frac{2}{3} a + 5 a^{3} + 4 a^{4} - 2 a^{5}$
12159	Simplify	(x+4)(x-1)	$(x + 4) (x - 1)$
12160	Convert to Regular Notation	5.2*10^3	$5.2 \cdot 10^{3}$
12161	Simplify	(x+3)(x+1)(x-4)	$(x + 3) (x + 1) (x - 4)$
12162	Combine	-3z-z	$- 3 z - z$
12163	Combine	-3x-6+(-1)	$- 3 x - 6 + (- 1)$
12164	Simplify	(x-3)(x-5)	$(x - 3) (x - 5)$
12165	Find the Domain	f(x)=2x^2+5 square root of x-2	$f (x) = 2 x^{2} + 5 \sqrt{x - 2}$
12166	Simplify	(x-y)(x+y)	$(x - y) (x + y)$
12167	Find the x and y Intercepts	f(x)=2x^3+2x^2-18x-18	$f (x) = 2 x^{3} + 2 x^{2} - 18 x - 18$
12168	Simplify	(8+7i)(8-7i)	$(8 + 7 i) (8 - 7 i)$
12169	Find the x and y Intercepts	f(x)=2x^3-2x^2-32x+32	$f (x) = 2 x^{3} - 2 x^{2} - 32 x + 32$
12170	Simplify	(7k-3)(k^2-2k+7)	$(7 k - 3) (k^{2} - 2 k + 7)$
12171	Simplify	(7+9i)(7-9i)	$(7 + 9 i) (7 - 9 i)$
12172	Simplify	(4a^5)/(7b^4)*(2b^2)/(2a^4)	$\frac{4 a^{5}}{7 b^{4}} \cdot \frac{2 b^{2}}{2 a^{4}}$
12173	Find the Slope and y-intercept	y=-9x+2	$y = - 9 x + 2$
12174	Simplify	2 square root of 27	$2 \sqrt{27}$
12175	Find the Vertex	y=-x^2-10x+24	$y = - x^{2} - 10 x + 24$
12176	Find the Inverse	f(x)=1.5^x+4	$f (x) = {1.5}^{x} + 4$
12177	Find the Inverse	f(x)=7x^2-3	$f (x) = 7 x^{2} - 3$
12178	Simplify	7/i	$\frac{7}{i}$
12179	Find the Inverse	f(x)=5x^3-4	$f (x) = 5 x^{3} - 4$
12180	Simplify	a^0	$a^{0}$
12181	Identify the Conic	4y^2-x^2+10y-16x=-5	$4 y^{2} - x^{2} + 10 y - 16 x = - 5$
12182	Simplify	(25b^6)^-1.5	${(25 b^{6})}^{- 1.5}$
12183	Simplify	(2i)^2	${(2 i)}^{2}$
12184	Simplify	(2i)^10	${(2 i)}^{10}$
12185	Find the Axis of Symmetry	y=-3x^2-12x-5	$y = - 3 x^{2} - 12 x - 5$
12186	Simplify	(4x)^0	${(4 x)}^{0}$
12187	Simplify	(4y)^2	${(4 y)}^{2}$
12188	Simplify	(x^2-4)/(x^2-1)*(x+1)/(x^2+2x)	$\frac{x^{2} - 4}{x^{2} - 1} \cdot \frac{x + 1}{x^{2} + 2 x}$
12189	Simplify	(y^-5)/y	$\frac{y^{- 5}}{y}$
12190	Convert to a Percentage	0.196	$0.196$
12191	Simplify	(y^-6)/y	$\frac{y^{- 6}}{y}$
12192	Convert to a Percentage	29/50	$\frac{29}{50}$
12193	Convert to a Percentage	31/50	$\frac{31}{50}$
12194	Simplify	square root of 9x^2* square root of 9y^5	$\sqrt{9 x^{2}} \cdot \sqrt{9 y^{5}}$
12195	Evaluate Using Scientific Notation	(1.6410^0)/(2.010^2)	$\frac{1.64 \cdot 10^{0}}{2 \cdot 10^{2}}$
12196	Simplify	cube root of 189x- cube root of 56x	$\sqrt[3]{189 x} - \sqrt[3]{56 x}$
12197	Evaluate Using Scientific Notation	(8.010^-3)(2.0*10^-4)	$(8 \cdot 10^{- 3}) \cdot (2 \cdot 10^{- 4})$
12198	Simplify	x^0y^5	$x^{0} y^{5}$
12199	Convert to Interval Notation	\|x\|>1	$\| x \| > 1$
12200	Simplify	x^4y^-2	$x^{4} y^{- 2}$