Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
233101	Evaluate	1/a-1/b=1/(a-b)	$\frac{1}{a} - \frac{1}{b} = \frac{1}{a - b}$
233102	Simplify	2+7/8-5/6	$2 + \frac{7}{8} - \frac{5}{6}$
233103	Simplify	square root of 3x^2* square root of 18x	$\sqrt{3 x^{2}} \cdot \sqrt{18 x}$
233104	Solve the System of Equations	1/2x+y=-1 y=1/4x-4	$\frac{1}{2} x + y = - 1$ $y = \frac{1}{4} x - 4$
233105	Evaluate	( log base 2 of x)^2	${\log_{2}}^{2} (x)$
233106	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-6,-5) and has a slope of 3/2 ?	What is the equation of the line that passes through the point $(- 6, - 5)$ and has a slope of $\frac{3}{2}$ ?
233107	Solve for y	-9y=20+y	$- 9 y = 20 + y$
233108	Evaluate Using the Given Value	6m-5n if m=-11 and n=3	$6 m - 5 n$ if $m = - 11$ and $n = 3$
233109	Solve the Inequality for x	19+x>15+3(x-2)	$19 + x > 15 + 3 (x - 2)$
233110	Simplify	6+6(x+4)+15y+x	$6 + 6 (x + 4) + 15 y + x$
233111	Solve the System of Inequalities	5x-8>27 or 3x+4<5	$5 x - 8 > 27$ or $3 x + 4 < 5$
233112	Solve for x	2/(2x+5)+3/(2x-5)=(5x+5)/(4x^2-25)	$\frac{2}{2 x + 5} + \frac{3}{2 x - 5} = \frac{5 x + 5}{4 x^{2} - 25}$
233113	Simplify	x^3y^-4x^2	$x^{3} y^{- 4} x^{2}$
233114	Rationalize the Denominator	-1/(2- square root of 15)	$\frac{- 1}{2 - \sqrt{15}}$
233115	Solve the Inequality for x	5>2+x/3	$5 > 2 + \frac{x}{3}$
233116	Simplify	(3x^2+7x+1)-(8+5x+x^2)	$(3 x^{2} + 7 x + 1) - (8 + 5 x + x^{2})$
233117	Write the Fraction in Simplest Form	(2^2)/(2^-8)*2^8	$\frac{2^{2}}{2^{- 8}} \cdot 2^{8}$
233118	Factor	4x^4+7x^2-2=0	$4 x^{4} + 7 x^{2} - 2 = 0$
233119	Rationalize the Denominator	(10 square root of 12-4 square root of 12)/(20 square root of 3+30 square root of 3)	$\frac{10 \sqrt{12} - 4 \sqrt{12}}{20 \sqrt{3} + 30 \sqrt{3}}$
233120	Solve for n	12(-4+6n)=13n+23(n+9)	$12 (- 4 + 6 n) = 13 n + 23 (n + 9)$
233121	Factor	16x^2(x^2+2)-9(x^2+2)	$16 x^{2} (x^{2} + 2) - 9 (x^{2} + 2)$
233122	Solve the Inequality for x	1/(x+1)+1/(x-3)<=0	$\frac{1}{x + 1} + \frac{1}{x - 3} \leq 0$
233123	Solve for A	A=1/2r^2theta	$A = \frac{1}{2} r^{2} θ$
233124	Solve for x	32/(x^2+3x+2)-3=(x-3)/(x+1)	$\frac{32}{x^{2} + 3 x + 2} - 3 = \frac{x - 3}{x + 1}$
233125	Write in Standard Form	(-2a^2+a+6)-(-3a^2+2a-5)	$(- 2 a^{2} + a + 6) - (- 3 a^{2} + 2 a - 5)$
233126	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (8,-4) and has a slope of 1/2 ?	What is the equation of the line that passes through the point $(8, - 4)$ and has a slope of $\frac{1}{2}$ ?
233127	Convert to a Decimal	27deg	$27$ degrees
233128	Divide Using Long Polynomial Division	(x^4+7x^3+17x^2+20x)/(x^2+4)	$\frac{(x^{4} + 7 x^{3} + 17 x^{2} + 20 x)}{(x^{2} + 4)}$
233129	Simplify	2 square root of 81+4 square root of -64+ cube root of -64+ square root of -100	$2 \sqrt{81} + 4 \sqrt{- 64} + \sqrt[3]{- 64} + \sqrt{- 100}$
233130	Evaluate	(2y+5)/5=(3y+11)/4	$\frac{2 y + 5}{5} = \frac{3 y + 11}{4}$
233131	Factor	2x^2+4x+2xy	$2 x^{2} + 4 x + 2 x y$
233132	Graph	5x+10y-15>=0	$5 x + 10 y - 15 \geq 0$
233133	Solve the System of Equations	x^2+(y+2)^2=25 x+2y=-9	$x^{2} + {(y + 2)}^{2} = 25$ $x + 2 y = - 9$
233134	Find the Inverse	f(x)=((x^7-2)/3)^(1/5)	$f (x) = {(\frac{x^{7} - 2}{3})}^{\frac{1}{5}}$
233135	Simplify	7(a-2b+2)+7b	$7 (a - 2 b + 2) + 7 b$
233136	Simplify	(x^2y^2)/(3x^2y)*(3x^4y)^4-7x^16y^5	$\frac{x^{2} y^{2}}{3 x^{2} y} \cdot {(3 x^{4} y)}^{4} - 7 x^{16} y^{5}$
233137	Solve the System of Equations	y=4x 5x-y=5	$y = 4 x$ $5 x - y = 5$
233138	Simplify	square root of 4-2	$\sqrt{4 - 2}$
233139	Solve for r	bz=rw	$b z = r w$
233140	Solve for u	-9=-6/u	$- 9 = - \frac{6}{u}$
233141	Solve for r	r^2=1	$r^{2} = 1$
233142	Solve the Inequality for x	log base x of x+6=2	$\log_{x} (x + 6) = 2$
233143	Solve for x	3x^2=3-42x	$3 x^{2} = 3 - 42 x$
233144	Simplify	(6x+4x^4)+(7x+3x^4-8)	$(6 x + 4 x^{4}) + (7 x + 3 x^{4} - 8)$
233145	Solve for y	x=(13(t-4y))/y	$x = \frac{13 (t - 4 y)}{y}$
233146	Find the Exact Value	csc(570 degrees )	$\csc (570 °)$
233147	Simplify	1+x/y	$1 + \frac{x}{y}$
233148	Divide	(a^6b)/(a^4b^2)	$\frac{a^{6} b}{a^{4} b^{2}}$
233149	Evaluate	sin(2arccos(1))	$\sin (2 \arccos (1))$
233150	Solve for x	4^(2x)+1<=65	$4^{2 x} + 1 \leq 65$
233151	Solve the Inequality for x	(2x+2)/(x+3)>4	$\frac{2 x + 2}{x + 3} > 4$
233152	Simplify	( square root of 7+ square root of 3)/( square root of 12+ square root of 7)	$\frac{\sqrt{7} + \sqrt{3}}{\sqrt{12} + \sqrt{7}}$
233153	Convert to a Decimal	0rad	$0$ radians
233154	Solve for m	m/3-(2m)/5=1/5	$\frac{m}{3} - \frac{2 m}{5} = \frac{1}{5}$
233155	Evaluate	2sin((3pi)/8)cos((3pi)/8)	$2 \sin (\frac{3 π}{8}) \cos (\frac{3 π}{8})$
233156	Solve for x	2/(x+3)-(2x+4)/(x^2+2x-3)=6/(x-1)	$\frac{2}{x + 3} - \frac{2 x + 4}{x^{2} + 2 x - 3} = \frac{6}{x - 1}$
233157	Solve for x	-(-x-6.9)+9=1.4x	$- (- x - 6.9) + 9 = 1.4 x$
233158	Find the Product	m^4*2m^-3	$m^{4} \cdot 2 m^{- 3}$
233159	Evaluate	square root of 3^2+4^2+5^2	$\sqrt{3^{2} + 4^{2} + 5^{2}}$
233160	Simplify	(x-1)/( square root of x-1)	$\frac{x - 1}{\sqrt{x - 1}}$
233161	Simplify	(x+2)(2x)	$(x + 2) (2 x)$
233162	Simplify the Radical Expression	( cube root of 3)/( cube root of 2x)	$\frac{\sqrt[3]{3}}{\sqrt[3]{2 x}}$
233163	Solve by Factoring	1/2x^2-8=0	$\frac{1}{2} x^{2} - 8 = 0$
233164	Solve the Inequality for d	2/3d>8	$\frac{2}{3} d > 8$
233165	Solve for x	-(2-x)=5	$- (2 - x) = 5$
233166	Simplify the Radical Expression	7 square root of 192m^9n^2	$7 \sqrt{192 m^{9} n^{2}}$
233167	Simplify	1 1/5f+2 3/4f-6f	$1 \frac{1}{5} f + 2 \frac{3}{4} f - 6 f$
233168	Simplify	-4 square root of 11-5 square root of 2+20-2 square root of 11-20	$- 4 \sqrt{11} - 5 \sqrt{2} + 20 - 2 \sqrt{11} - 20$
233169	Write in Standard Form	2.5+4.9t^3-4t^2+t	$2.5 + 4.9 t^{3} - 4 t^{2} + t$
233170	Graph	x<=3 y>=-2	$x \leq 3$ $y \geq - 2$
233171	Factor by Grouping	x^4-11x^2+28	$x^{4} - 11 x^{2} + 28$
233172	Solve the System of Equations	x^2=2y^2+4 x^2+2y^2=68	$x^{2} = 2 y^{2} + 4$ $x^{2} + 2 y^{2} = 68$
233173	Find the Roots (Zeros)	(x-1)*2(x+5)=0	$(x - 1) \cdot 2 (x + 5) = 0$
233174	Simplify	((-5)^(2/3))^(3/4)	${({(- 5)}^{\frac{2}{3}})}^{\frac{3}{4}}$
233175	Simplify	square root of -4/3	$\sqrt{- \frac{4}{3}}$
233176	Find the Midpoint	(-5,-6) and (4,2)	$(- 5, - 6)$ and $(4, 2)$
233177	Simplify	(2x^2-12x-80)/(-x-2)(4-x^2)/(x^2-4)(-x-2)/(x^2+2x-8)	$\frac{2 x^{2} - 12 x - 80}{- x - 2} \cdot \frac{4 - x^{2}}{x^{2} - 4} \cdot \frac{- x - 2}{x^{2} + 2 x - 8}$
233178	Divide	x/(-x)	$\frac{x}{- x}$
233179	Solve for B	2sin(B)^2-sin(B)-1=0	$2 \sin^{2} (B) - \sin (B) - 1 = 0$
233180	Evaluate	(cot(x))/(csc(x))	$\frac{\cot (x)}{\csc (x)}$
233181	Multiply	((x+2)-(y+1))((x+2)+(y+1))	$((x + 2) - (y + 1)) ((x + 2) + (y + 1))$
233182	Divide Using Long Polynomial Division	Use the long division method to find the result when 3x^3+8x^2+9x+10 is divided by x+2	Use the long division method to find the result when $3 x^{3} + 8 x^{2} + 9 x + 10$ is divided by $x + 2$
233183	Evaluate the Function	f(x) = square root of x+3 at x=6	$f (x) = \sqrt{x + 3}$ at $x = 6$
233184	Graph	x^2-2x-y^2+2y=1	$x^{2} - 2 x - y^{2} + 2 y = 1$
233185	Solve for x	(-3x)/4+(x-4)/3=-5/3	$\frac{- 3 x}{4} + \frac{x - 4}{3} = \frac{- 5}{3}$
233186	Solve for x	natural log of 3x+ natural log of 2x=3	$\ln (3 x) + \ln (2 x) = 3$
233187	Simplify the Radical Expression	10 square root of x^15* square root of x^9	$10 \sqrt{x^{15}} \cdot \sqrt{x^{9}}$
233188	Simplify	(6 square root of 45y^3)/(3 square root of 5x)	$\frac{6 \sqrt{45 y^{3}}}{3 \sqrt{5 x}}$
233189	Solve for x	-4x=2/3x+2-4x	$- 4 x = \frac{2}{3} x + 2 - 4 x$
233190	Simplify the Radical Expression	( square root of x^5y^4)/(y^2 fifth root of z^10)	$\frac{\sqrt{x^{5}} y^{4}}{y^{2} \sqrt[5]{z^{10}}}$
233191	Solve the Inequality for y	4y+2(2y-4)<=2(2y+4)	$4 y + 2 (2 y - 4) \leq 2 (2 y + 4)$
233192	Solve for x	9x^4=36x^2	$9 x^{4} = 36 x^{2}$
233193	Solve for x	2/5=1/2x	$\frac{2}{5} = \frac{1}{2} x$
233194	Solve the Inequality for u	u/7-1<=1	$\frac{u}{7} - 1 \leq 1$
233195	Simplify the Radical Expression	square root of (x^6)/(y^2)	$\sqrt{\frac{x^{6}}{y^{2}}}$
233196	Solve for r	9\|r-2\|-10<-73	$9 \| r - 2 \| - 10 < - 73$
233197	Find the x and y Intercepts	f(x)=3x(x+4)^2(x^2-7)(6x+1)(x^2+4)	$f (x) = 3 x {(x + 4)}^{2} (x^{2} - 7) (6 x + 1) (x^{2} + 4)$
233198	Find the Domain and Range	y = log base 2 of 2x+3	$y = \log_{2} (2 x + 3)$
233199	Solve the System of Inequalities	y<x+7 y<-2x-5	$y < x + 7$ $y < - 2 x - 5$
233200	Find the Exact Value	4/3pi*6^3	$\frac{4}{3} π \cdot 6^{3}$