Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
225301	Multiply	(x-2)/(x-3)*(2x-6)/(x+5)	$\frac{x - 2}{x - 3} \cdot \frac{2 x - 6}{x + 5}$
225302	Rationalize the Denominator	3/( square root of x- square root of y)	$\frac{3}{\sqrt{x} - \sqrt{y}}$
225303	Solve for b	4(4b+8)=-2(-7-11b)	$4 (4 b + 8) = - 2 (- 7 - 11 b)$
225304	Divide Using Long Polynomial Division	(28p^3q^2r-36p^2r^2+16q^5r^4)/(4pq^2r)	$\frac{28 p^{3} q^{2} r - 36 p^{2} r^{2} + 16 q^{5} r^{4}}{4 p q^{2} r}$
225305	Solve by Factoring	108x^3+37=5	$108 x^{3} + 37 = 5$
225306	Find the Product	-6x^2(x^3+7x^2-4x+3)	$- 6 x^{2} (x^{3} + 7 x^{2} - 4 x + 3)$
225307	Find the Complex Conjugate	square root of 3+ square root of 11	$\sqrt{3} + \sqrt{11}$
225308	Evaluate	(2x)/(x+7)-x/(x+3)=1+1/(x^2+10+21)	$\frac{2 x}{x + 7} - \frac{x}{x + 3} = 1 + \frac{1}{x^{2} + 10 + 21}$
225309	Solve for x	2*x=6	$2 \cdot x = 6$
225310	Divide Using Synthetic Division	Use synthetic division to find the result when x^3+5x^2-9x+3 is divided by x-1	Use synthetic division to find the result when $x^{3} + 5 x^{2} - 9 x + 3$ is divided by $x - 1$
225311	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (8,8) and has a slope of 2 ?	What is the equation of the line that passes through the point $(8, 8)$ and has a slope of $2$ ?
225312	Simplify	(5x+6)/(2x-5)+(x-1)/(2x-5)	$\frac{5 x + 6}{2 x - 5} + \frac{x - 1}{2 x - 5}$
225313	Evaluate	A=1200(0.85)^6	$A = 1200 {(0.85)}^{6}$
225314	Simplify the Radical Expression	square root of 2b^3 cube root of 5b	$\sqrt{2 b^{3}} \sqrt[3]{5 b}$
225315	Factor	5xy^2+20xy-15x^3y^4	$5 x y^{2} + 20 x y - 15 x^{3} y^{4}$
225316	Write with Rational (Fractional) Exponents	fifth root of 5^2* square root of 5^3	$\sqrt[5]{5^{2}} \cdot \sqrt{5^{3}}$
225317	Simplify	(y^(1/2)z^(1/3))(yz)	$(y^{\frac{1}{2}} z^{\frac{1}{3}}) (y z)$
225318	Find the Product	3a^3(8a+b)	$3 a^{3} (8 a + b)$
225319	Solve the Inequality for f	23<f+12	$23 < f + 12$
225320	Combine Like Terms	1/4k+1/4m-2/3k+5/9m	$\frac{1}{4} k + \frac{1}{4} m - \frac{2}{3} k + \frac{5}{9} m$
225321	Graph	square root of c+9- square root of c> square root of 3	$\sqrt{c + 9} - \sqrt{c} > \sqrt{3}$
225322	Simplify	(x+7)/(x/7-7)	$\frac{(x + 7)}{(\frac{x}{7} - 7)}$
225323	Simplify	((x^2y^3)^-1)/((x^-2y^2z)^2)	$\frac{{(x^{2} y^{3})}^{- 1}}{{(x^{- 2} y^{2} z)}^{2}}$
225324	Simplify	1÷(-1/2)	$1 \div (- \frac{1}{2})$
225325	Simplify the Radical Expression	square root of 3x^4* square root of 5x^2* square root of 10	$\sqrt{3 x^{4}} \cdot \sqrt{5 x^{2}} \cdot \sqrt{10}$
225326	Evaluate	(3a+b)(2a-4b)	$(3 a + b) (2 a - 4 b)$
225327	Write in Exponential Form	(5^2)^4*5^5	${(5^{2})}^{4} \cdot 5^{5}$
225328	Factor	(5x+40)cm^2	$(5 x + 40) {cm}^{2}$
225329	Solve for d	P=b+c+d	$P = b + c + d$
225330	Simplify	(8x^(1/7)y^(3/12))(2y^(8/12)z^2)(4x^(3/7)z^4)	$(8 x^{\frac{1}{7}} y^{\frac{3}{12}}) (2 y^{\frac{8}{12}} z^{2}) (4 x^{\frac{3}{7}} z^{4})$
225331	Write in Standard Form	6x-2y=8+y	$6 x - 2 y = 8 + y$
225332	Simplify	(4y^5-3y^2)/(5y^2)	$\frac{4 y^{5} - 3 y^{2}}{5 y^{2}}$
225333	Solve for y	(4y-11)/15+(13-7y)/20=2	$\frac{4 y - 11}{15} + \frac{13 - 7 y}{20} = 2$
225334	Graph	square root of 7x+14-3>=4	$\sqrt{7 x + 14} - 3 \geq 4$
225335	Solve for x	1/9(2x-16)=1/3(2x+4)	$\frac{1}{9} (2 x - 16) = \frac{1}{3} (2 x + 4)$
225336	Solve for k	641/k=2	$64 \frac{1}{k} = 2$
225337	Find the First Term	a_n=-12+(n-1)*3	$a_{n} = - 12 + (n - 1) \cdot 3$
225338	Simplify	9^(x-1)(1/3)^(2x-1)	$9^{x - 1} {(\frac{1}{3})}^{2 x - 1}$
225339	Solve the Inequality for y	3(1)-2y<=4	$3 (1) - 2 y \leq 4$
225340	Evaluate	-2!	$- 2!$
225341	Solve for h	11/12=3/4h	$\frac{11}{12} = \frac{3}{4} h$
225342	Divide Using Long Polynomial Division	Use the long division method to find the result when 2x^3+13x^2+25x+14 is divided by 2x+7	Use the long division method to find the result when $2 x^{3} + 13 x^{2} + 25 x + 14$ is divided by $2 x + 7$
225343	Solve for x	y=2x-5 for x	$y = 2 x - 5$ for $x$
225344	Evaluate	((2x^-2y^3)/(3xy^-4))	$(\frac{2 x^{- 2} y^{3}}{3 x y^{- 4}})$
225345	Graph	-3+\|n-2\|>5	$- 3 + \| n - 2 \| > 5$
225346	Write the Fraction in Simplest Form	((5s^3n^2)^-1)/(4s^3)	$\frac{{(5 s^{3} n^{2})}^{- 1}}{4 s^{3}}$
225347	Simplify	(6d^3)/( square root of 8d^3)	$\frac{6 d^{3}}{\sqrt{8 d^{3}}}$
225348	Solve for a	a(3x+4)=b+18x	$a (3 x + 4) = b + 18 x$
225349	Solve for b	b-6 = square root of 18-3b	$b - 6 = \sqrt{18 - 3 b}$
225350	Solve for x	cube root of 3x+9 = cube root of x+6	$\sqrt[3]{3 x + 9} = \sqrt[3]{x + 6}$
225351	Simplify	(2/(1-a)+2/(1+a))/(2/(1+a)-2/(1-a))	$\frac{\frac{2}{1 - a} + \frac{2}{1 + a}}{\frac{2}{1 + a} - \frac{2}{1 - a}}$
225352	Solve for c	1/a=c/(2b)	$\frac{1}{a} = \frac{c}{2 b}$
225353	Simplify	(u^(3/2))^2*v^2	${(u^{\frac{3}{2}})}^{2} \cdot v^{2}$
225354	Find the LCD	2/(2x+7) and 5/(6x)	$\frac{2}{2 x + 7}$ and $\frac{5}{6 x}$
225355	Simplify	(3x+12)/(4x-16)*(8-2x)/(x+4)	$\frac{3 x + 12}{4 x - 16} \cdot \frac{8 - 2 x}{x + 4}$
225356	Simplify	( square root of 2+ square root of 3)(2 square root of 2-4 square root of 3)	$(\sqrt{2} + \sqrt{3}) (2 \sqrt{2} - 4 \sqrt{3})$
225357	Find the Roots (Zeros)	f(x)=x^3+x^2+3x-9	$f (x) = x^{3} + x^{2} + 3 x - 9$
225358	Find the Product	6pq(3p^2+4q)	$6 p q (3 p^{2} + 4 q)$
225359	Solve for w	2w^2-4w+5=0	$2 w^{2} - 4 w + 5 = 0$
225360	Find the LCD	5/(4ab) , 3/(10bc)	$\frac{5}{4 a b}$ , $\frac{3}{10 b c}$
225361	Solve for x	3e^(4x)-9e^(2x)-15=0	$3 e^{4 x} - 9 e^{2 x} - 15 = 0$
225362	Graph	f(x)=-2*cos(x)	$f (x) = - 2 \cdot \cos (x)$
225363	Solve for x	square root of 79-5x=6x+4	$\sqrt{79 - 5 x} = 6 x + 4$
225364	Subtract	(x^3-3x+1)-(x^3+7-12x)	$(x^{3} - 3 x + 1) - (x^{3} + 7 - 12 x)$
225365	Find the Exact Value	tan(arccos(x/3))	$\tan (\arccos (\frac{x}{3}))$
225366	Simplify	7x+2-5x^2-2x	$7 x + 2 - 5 x^{2} - 2 x$
225367	Solve in Terms of the Arbitrary Variable k	kx-3y=4 4x-5y=7	$k x - 3 y = 4$ $4 x - 5 y = 7$
225368	Solve the System of Equations	y=x^2+x+9 3x+y=9	$y = x^{2} + x + 9$ $3 x + y = 9$
225369	Simplify	(2- square root of 5)/(2+3 square root of 5)	$\frac{2 - \sqrt{5}}{2 + 3 \sqrt{5}}$
225370	Simplify	(a^(m/2)b^(n/3))^-6	${(a^{\frac{m}{2}} b^{\frac{n}{3}})}^{- 6}$
225371	Simplify	((x-7)^2)/(x^2-9x+14)	$\frac{{(x - 7)}^{2}}{x^{2} - 9 x + 14}$
225372	Graph	y^2-6y+8x=15	$y^{2} - 6 y + 8 x = 15$
225373	Simplify	(4^-2)(-2^2)	$(4^{- 2}) (- 2^{2})$
225374	Factor	x^4-x=0	$x^{4} - x = 0$
225375	Convert to a Percentage	38 is what percent of 40	$38$ is what percent of $40$
225376	Solve the System of Equations	x+y=-8 and -9x-6y=60	$x + y = - 8$ and $- 9 x - 6 y = 60$
225377	Graph	f(x)=-2x^(1/4)	$f (x) = - 2 x^{\frac{1}{4}}$
225378	Solve for p	-2/3p+8/3=-3p	$- \frac{2}{3} p + \frac{8}{3} = - 3 p$
225379	Find the Domain and Range	y=5cos(3x-pi)-4	$y = 5 \cos (3 x - π) - 4$
225380	Solve for x	x^5+x^3+x=3	$x^{5} + x^{3} + x = 3$
225381	Simplify	((2x+10)/(4x))÷((x^2+8x+15)/(6x^2))	$\frac{2 x + 10}{4 x} \div \frac{x^{2} + 8 x + 15}{6 x^{2}}$
225382	Simplify	(6z^3)/( square root of 16z^7)	$\frac{6 z^{3}}{\sqrt{16 z^{7}}}$
225383	Simplify	(3ab)/(6a^2b-12ab^2)	$\frac{3 a b}{6 a^{2} b - 12 a b^{2}}$
225384	Simplify the Radical Expression	3 fourth root of 8*7 fourth root of 32	$3 \sqrt[4]{8} \cdot 7 \sqrt[4]{32}$
225385	Solve for x	x^3-7x^2=28-4x	$x^{3} - 7 x^{2} = 28 - 4 x$
225386	Solve for w	6(-2w-3)=-4(3w+7)+10	$6 (- 2 w - 3) = - 4 (3 w + 7) + 10$
225387	Simplify	(9 2/3*3 5/3)/(6^2)	$\frac{9 \frac{2}{3} \cdot 3 \frac{5}{3}}{6^{2}}$
225388	Solve for x	(3x)/2+5/8=x/4	$\frac{3 x}{2} + \frac{5}{8} = \frac{x}{4}$
225389	Simplify/Condense	(cos(-x))/(tan(-x))+sin(-x)	$\frac{\cos (- x)}{\tan (- x)} + \sin (- x)$
225390	Simplify	2x^-3(x^5-2x^3)	$2 x^{- 3} (x^{5} - 2 x^{3})$
225391	Simplify	square root of 5x+ cube root of 81x- square root of 45x- cube root of 27x	$\sqrt{5 x} + \sqrt[3]{81 x} - \sqrt{45 x} - \sqrt[3]{27 x}$
225392	Solve for p	square root of 11-p- square root of 2+p=-1	$\sqrt{11 - p} - \sqrt{2 + p} = - 1$
225393	Solve the System of Equations	4x+y=0 2y+x=-7	$4 x + y = 0$ $2 y + x = - 7$
225394	Solve for y	2y=y+19	$2 y = y + 19$
225395	Find the x and y Intercepts	y=(x^2)/((x+6)(x-4))	$y = \frac{x^{2}}{(x + 6) (x - 4)}$
225396	Describe the Transformation	f(x)=2 square root of x-1	$f (x) = 2 \sqrt{x - 1}$
225397	Solve for x	1/6x+2/3x+4=x+2	$\frac{1}{6} x + \frac{2}{3} x + 4 = x + 2$
225398	Solve the Rational Equation for x	-(x^2+x-8)/((x-3)(x+5))=x/(x-3)	$- \frac{x^{2} + x - 8}{(x - 3) (x + 5)} = \frac{x}{x - 3}$
225399	Solve for m	(1/7)/(3/4)=(1/6)/m	$\frac{\frac{1}{7}}{\frac{3}{4}} = \frac{\frac{1}{6}}{m}$
225400	Write in Standard Form	(x-4)^2-5(x-4)-3	${(x - 4)}^{2} - 5 (x - 4) - 3$