Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
219301	Simplify	((y^2-9)/(3y))/((y^2+3y)/(2y^3))	$\frac{\frac{y^{2} - 9}{3 y}}{\frac{y^{2} + 3 y}{2 y^{3}}}$
219302	Solve for x	log base 2 of x+ log base 2 of 2x+3=1	$\log_{2} (x) + \log_{2} (2 x + 3) = 1$
219303	Solve Using the Quadratic Formula	4(x^2-x)=x^2-2	$4 (x^{2} - x) = x^{2} - 2$
219304	Describe the Transformation	g(x)=5(1/x)	$g (x) = 5 (\frac{1}{x})$
219305	Solve the Absolute Value Inequality for p	\|7+p\|=7	$\| 7 + p \| = 7$
219306	Solve for x	1/10(x+50)=-3x-13+4x	$\frac{1}{10} (x + 50) = - 3 x - 13 + 4 x$
219307	Find the x and y Intercepts	y=(x)(x+6)(x+1)(x-1)	$y = (x) (x + 6) (x + 1) (x - 1)$
219308	Write in Exponential Form	cube root of ( square root of x^6y^8z)/(125z^(1/2))	$\sqrt[3]{\frac{\sqrt{x^{6} y^{8} z}}{125 z^{\frac{1}{2}}}}$
219309	Solve for x	17-5(2x-9)=-(-6x+10)+4	$17 - 5 (2 x - 9) = - (- 6 x + 10) + 4$
219310	Solve for w	2(12-w)=-2(w-17)-10	$2 (12 - w) = - 2 (w - 17) - 10$
219311	Simplify the Radical Expression	5^-2	$5^{- 2}$
219312	Solve for s	(2 square root of 3)^2 = square root of s	${(2 \sqrt{3})}^{2} = \sqrt{s}$
219313	Simplify	(81-x^2)/(x^2-81)4/(x^2-16x+63)(9x^3+27x^2-630x)/(-x-10)	$\frac{81 - x^{2}}{x^{2} - 81} \cdot \frac{4}{x^{2} - 16 x + 63} \cdot \frac{9 x^{3} + 27 x^{2} - 630 x}{- x - 10}$
219314	Evaluate	46/360(2pi*3)	$\frac{46}{360} (2 π \cdot 3)$
219315	Find the x and y Intercepts	x^3-4x^2+x+6	$x^{3} - 4 x^{2} + x + 6$
219316	Find the Holes in the Graph	f(x)=(x^2+3x-4)/x	$f (x) = \frac{x^{2} + 3 x - 4}{x}$
219317	Simplify	((3j^2)/(5k))÷((6j)/(10k))	$\frac{3 j^{2}}{5 k} \div \frac{6 j}{10 k}$
219318	Find the Holes in the Graph	(2x+8)/(3x+12)	$\frac{2 x + 8}{3 x + 12}$
219319	Evaluate Using the Given Value	Find P(theta) if theta=(9pi)/4	Find $P (θ)$ if $θ = \frac{9 π}{4}$
219320	Simplify	((r^3s^-1)/(r^2s^6))^-1	${(\frac{r^{3} s^{- 1}}{r^{2} s^{6}})}^{- 1}$
219321	Solve the System of Inequalities	-3x-1<=2x+9 and -4x+3>-2x+11	$- 3 x - 1 \leq 2 x + 9$ and $- 4 x + 3 > - 2 x + 11$
219322	Factor	30xy^2z+25x^2yz^2-5yz	$30 x y^{2} z + 25 x^{2} y z^{2} - 5 y z$
219323	Graph	y=3-4sin(2/3(x-1))	$y = 3 - 4 \sin (\frac{2}{3} (x - 1))$
219324	Graph	f(x)=2/(x^4-16) on interval (0,2) union (2,infinity)	$f (x) = \frac{2}{x^{4} - 16}$ on interval $(0, 2) \cup (2, \infty)$
219325	Simplify	(v-6)/((v+3)(v-3))+4/((v+3)(v-3))	$\frac{v - 6}{(v + 3) (v - 3)} + \frac{4}{(v + 3) (v - 3)}$
219326	Solve for x	3/(3x^2+5x-12)=1/(3x^2+5x-12)-1/(x+3)	$\frac{3}{3 x^{2} + 5 x - 12} = \frac{1}{3 x^{2} + 5 x - 12} - \frac{1}{x + 3}$
219327	Find the Exact Value	1/(2+ square root of 3)+1/(2- square root of 3)	$\frac{1}{2 + \sqrt{3}} + \frac{1}{2 - \sqrt{3}}$
219328	Simplify	(-7x^3+5x^2-x+6)-(-8x^3+x^2+3)	$(- 7 x^{3} + 5 x^{2} - x + 6) - (- 8 x^{3} + x^{2} + 3)$
219329	Graph	x/2+1<=3x+2	$\frac{x}{2} + 1 \leq 3 x + 2$
219330	Write the Fraction in Simplest Form	((4s^-1j^-3)^-3)/(20s^-2)	$\frac{{(4 s^{- 1} j^{- 3})}^{- 3}}{20 s^{- 2}}$
219331	Solve for t	cos(t)^3=cos(t)	$\cos^{3} (t) = \cos (t)$
219332	Divide Using Long Polynomial Division	Use the long division method to find the result when 6x^3+9x^2-17x-5 is divided by 2x+5	Use the long division method to find the result when $6 x^{3} + 9 x^{2} - 17 x - 5$ is divided by $2 x + 5$
219333	Solve for c	3/4=7.5/(2c)	$\frac{3}{4} = \frac{7.5}{2 c}$
219334	Solve for b	-1.2b-5.3>=1.9	$- 1.2 b - 5.3 \geq 1.9$
219335	Evaluate	e^x*e^(-x)	$e^{x} \cdot e^{- x}$
219336	Simplify	(-( square root of 2)/2)÷(( square root of 2)/2)	$- \frac{\sqrt{2}}{2} \div \frac{\sqrt{2}}{2}$
219337	Graph	f(t)=1/10t^2(t-4)^3(t+5)^2	$f (t) = \frac{1}{10} t^{2} {(t - 4)}^{3} {(t + 5)}^{2}$
219338	Simplify	-(57)^0+(1/2)^-2-1^5	$- {(57)}^{0} + {(\frac{1}{2})}^{- 2} - 1^{5}$
219339	Simplify	((3m^3n)/(n^3))^-3	${(\frac{3 m^{3} n}{n^{3}})}^{- 3}$
219340	Simplify	(12-8)^3-2*7+ square root of 36	${(12 - 8)}^{3} - 2 \cdot 7 + \sqrt{36}$
219341	Simplify	square root of 2ab^2* square root of 10a^5b	$\sqrt{2 a b^{2}} \cdot \sqrt{10 a^{5} b}$
219342	Solve for t	3csc(t)^2=4	$3 \csc^{2} (t) = 4$
219343	Simplify	f(x) = cube root of 27x^9	$f (x) = \sqrt[3]{27 x^{9}}$
219344	Evaluate	(5*180)/pi	$\frac{5 \cdot 180}{π}$
219345	Simplify	40+5^2-7*4	$40 + 5^{2} - 7 \cdot 4$
219346	Solve for x	4/(x+2)=(x^2)/(x+2)	$\frac{4}{x + 2} = \frac{x^{2}}{x + 2}$
219347	Solve for x	3x-4(5x-2)=12x-(5x-6)	$3 x - 4 (5 x - 2) = 12 x - (5 x - 6)$
219348	Simplify	1/(x^2+2x)+x/(x+2)	$\frac{1}{x^{2} + 2 x} + \frac{x}{x + 2}$
219349	Solve for x	(2^(2x)+2)(2^(3x-7))=2^25	$(2^{2 x} + 2) (2^{3 x - 7}) = 2^{25}$
219350	Evaluate	(-20)÷(-5)(3)+6-5*-2	$(- 20) \div (- 5) (3) + 6 - 5 \cdot - 2$
219351	Simplify	(3/(2n^2))^(2/3)	${(\frac{3}{2 n^{2}})}^{\frac{2}{3}}$
219352	Find the Inverse	y=-3/5x+7/5	$y = - \frac{3}{5} x + \frac{7}{5}$
219353	Solve the Inequality for y	y/-3+17>12	$\frac{y}{- 3} + 17 > 12$
219354	Solve the Rational Equation for x	square root of x+11=15	$\sqrt{x} + 11 = 15$
219355	Solve for x	7^(x+3) = square root of 7	$7^{x + 3} = \sqrt{7}$
219356	Evaluate	square root of x+2=x	$\sqrt{x + 2} = x$
219357	Solve the System of Equations	x+y=19 y=3x-1	$x + y = 19$ $y = 3 x - 1$
219358	Write in y=mx+b Form	(-8,-2) and (-4,6)	$(- 8, - 2)$ and $(- 4, 6)$
219359	Evaluate	40% of 40	$40 %$ of $40$
219360	Factor	(y^4+8y^3+16y^2)-(y^2+8y+16)	$(y^{4} + 8 y^{3} + 16 y^{2}) - (y^{2} + 8 y + 16)$
219361	Find the Degree	-6y^5z^5-(x^4)/3	$- 6 y^{5} z^{5} - \frac{x^{4}}{3}$
219362	Simplify	i^119+i^42+5i^57-8i^74	$i^{119} + i^{42} + 5 i^{57} - 8 i^{74}$
219363	Solve the Inequality for p	\|(2p-8)/4\|>=9	$\| \frac{2 p - 8}{4} \| \geq 9$
219364	Simplify	(x-1)/(9x+9)*(x^2-2x-3)/(x^2+5x-6)	$\frac{x - 1}{9 x + 9} \cdot \frac{x^{2} - 2 x - 3}{x^{2} + 5 x - 6}$
219365	Simplify	(xy^-5)/( square root of 16x^3y^2)	$\frac{x y^{- 5}}{\sqrt{16 x^{3} y^{2}}}$
219366	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-4,-2) and has a slope of -1/2 ?	What is the equation of the line that passes through the point $(- 4, - 2)$ and has a slope of $- \frac{1}{2}$ ?
219367	Evaluate	square root of 3csc(x)-2=0	$\sqrt{3} \csc (x) - 2 = 0$
219368	Simplify	-3xi^4+9xi	$- 3 x i^{4} + 9 x i$
219369	Find the Roots (Zeros)	x^2=-1	$x^{2} = - 1$
219370	Simplify	9^15*1/(9^15)	$9^{15} \cdot \frac{1}{9^{15}}$
219371	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (5,6) and has a slope of 2 ?	What is the equation of the line that passes through the point $(5, 6)$ and has a slope of $2$ ?
219372	Multiply	3/5(-1/6)	$\frac{3}{5} (- \frac{1}{6})$
219373	Solve for B	(sec(x)-1)/(sec(x)+1)=(A-cos(x))/(B+cos(x))	$\frac{\sec (x) - 1}{\sec (x) + 1} = \frac{A - \cos (x)}{B + \cos (x)}$
219374	Solve for x	35/(x^2+x-6)-6/(x+3)=7/(x-2)	$\frac{35}{x^{2} + x - 6} - \frac{6}{x + 3} = \frac{7}{x - 2}$
219375	Determine if True	(sec(theta)sin(theta))/(tan(theta)+cot(theta))=sin(theta)^2	$\frac{\sec (θ) \sin (θ)}{\tan (θ) + \cot (θ)} = \sin^{2} (θ)$
219376	Solve Using the Quadratic Formula	x^2-y=-4x-3	$x^{2} - y = - 4 x - 3$
219377	Solve for B	8x+By=60	$8 x + B y = 60$
219378	Graph	2n+7>=27 or 3+3n<=30	$2 n + 7 \geq 27$ or $3 + 3 n \leq 30$
219379	Graph	f(x)=a\|x\|	$f (x) = a \| x \|$
219380	Evaluate	a*a^-10	$a \cdot a^{- 10}$
219381	Simplify the Radical Expression	square root of 8y^5* square root of 40y^2	$\sqrt{8 y^{5}} \cdot \sqrt{40 y^{2}}$
219382	Find the Roots (Zeros)	f(x)=2+4sin(x)	$f (x) = 2 + 4 \sin (x)$
219383	Solve for x	3-4x+5=2(8-2x)	$3 - 4 x + 5 = 2 (8 - 2 x)$
219384	Graph	x>=-6 y<3	$x \geq - 6$ $y < 3$
219385	Evaluate	y=4^-2	$y = 4^{- 2}$
219386	Solve for a	-10=- square root of a	$- 10 = - \sqrt{a}$
219387	Evaluate	r = cube root of (3v)/(4pi)	$r = \sqrt[3]{\frac{3 v}{4 π}}$
219388	Solve for w	-6y^2-21=s(y^2+w)	$- 6 y^{2} - 21 = s (y^{2} + w)$
219389	Simplify	((4p-8)/(p^3-2p^2)-(q+2)/(q^3+2q^2))*p/(2q-p)	$(\frac{4 p - 8}{p^{3} - 2 p^{2}} - \frac{q + 2}{q^{3} + 2 q^{2}}) \cdot \frac{p}{2 q - p}$
219390	Evaluate	i^10i^37i^36	$i^{10} \cdot i^{37} \cdot i^{36}$
219391	Solve the System of Equations	x^2+y^2=9 9x+2y=16	$x^{2} + y^{2} = 9$ $9 x + 2 y = 16$
219392	Factor	(27x^3-8)/(9x^2-4)	$\frac{27 x^{3} - 8}{9 x^{2} - 4}$
219393	Evaluate	60% of 70	$60 %$ of $70$
219394	Solve the System of Equations	y=x^2 y-9=0	$y = x^{2}$ $y - 9 = 0$
219395	Evaluate	10-3\|9-3(3-1)\|	$10 - 3 \| 9 - 3 (3 - 1) \|$
219396	Evaluate	( square root of x+ square root of 2)^2	${(\sqrt{x} + \sqrt{2})}^{2}$
219397	Find the x and y Intercepts	f^-1(x)=x/2-1/2	$f^{- 1} (x) = \frac{x}{2} - \frac{1}{2}$
219398	Find the Excluded Values	3/x=3/(4x)+3	$\frac{3}{x} = \frac{3}{4 x} + 3$
219399	Graph	g(x)=3(x-1)*2+2	$g (x) = 3 (x - 1) \cdot 2 + 2$
219400	Simplify	-0.125 square root of 192	$- 0.125 \sqrt{192}$