Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
226401	Solve for x	sin(x)+ square root of 3cos(x)=1	$\sin (x) + \sqrt{3} \cos (x) = 1$
226402	Solve for v	cube root of 2v-7=-2	$\sqrt[3]{2 v - 7} = - 2$
226403	Solve the Inequality for x	7 cube root of x-3>=21	$7 \sqrt[3]{x - 3} \geq 21$
226404	Solve the System of Equations	y=x^2+2 x+y=4	$y = x^{2} + 2$ $x + y = 4$
226405	Expand Using the Binomial Theorem	(2x^3y+y)^7	${(2 x^{3} y + y)}^{7}$
226406	Rationalize the Denominator	3/(3-i)	$\frac{3}{3 - i}$
226407	Solve the Inequality for x	6x^2-13x>-6x+3	$6 x^{2} - 13 x > - 6 x + 3$
226408	Multiply	3/23/23/2*3/2	$\frac{3}{2} \cdot \frac{3}{2} \cdot \frac{3}{2} \cdot \frac{3}{2}$
226409	Solve by Substitution	4x+y=26 y=9/2x-8	$4 x + y = 26$ $y = \frac{9}{2} x - 8$
226410	Write in Standard Form	y=(-3x^3)-3(3-x^3)	$y = (- 3 x^{3}) - 3 (3 - x^{3})$
226411	Simplify	-5w^2(8w^2x-11wx^2)+6x(9wx^4-4w-3x^2)	$- 5 w^{2} (8 w^{2} x - 11 w x^{2}) + 6 x (9 w x^{4} - 4 w - 3 x^{2})$
226412	Evaluate	square root of -36/(-1-3)	$\sqrt{\frac{- 36}{- 1 - 3}}$
226413	Solve for m	8-7/2m=-13	$8 - \frac{7}{2} m = - 13$
226414	Evaluate	(x^-5y^4y^7)/(x^-5)	$\frac{x^{- 5} y^{4} y^{7}}{x^{- 5}}$
226415	Find the Product	3x*3x	$3 x \cdot 3 x$
226416	Divide	(5 square root of 3)÷( square root of 3)	$5 \sqrt{3} \div \sqrt{3}$
226417	Divide	(17/3679)	$(\frac{17}{3679})$
226418	Find the LCM	m^2+11m+10 and m^2+9m-10	$m^{2} + 11 m + 10$ and $m^{2} + 9 m - 10$
226419	Solve for a	(4x^3)^a=16x^6	${(4 x^{3})}^{a} = 16 x^{6}$
226420	Solve the Inequality for x	-(3x+1)-1/2x>-3/2x-4/5	$- (3 x + 1) - \frac{1}{2} x > - \frac{3}{2} x - \frac{4}{5}$
226421	Simplify the Radical Expression	fourth root of x^5y^9z^6	$\sqrt[4]{x^{5} y^{9} z^{6}}$
226422	Simplify	(b^4)/(b1/2)	$\frac{b^{4}}{b \frac{1}{2}}$
226423	Divide	(12x^4y^3z^2w)÷2xy^2	$12 x^{4} y^{3} z^{2} w \div 2 x y^{2}$
226424	Simplify	((2x^-3y^5)/(-3x^4y^-2))^-3	${(\frac{2 x^{- 3} y^{5}}{- 3 x^{4} y^{- 2}})}^{- 3}$
226425	Convert to Set Notation	-3(7n+3)<6n	$- 3 (7 n + 3) < 6 n$
226426	Simplify	(8^(3/4)+2^3)^(1/2)	${(8^{\frac{3}{4}} + 2^{3})}^{\frac{1}{2}}$
226427	Graph	15c^(-)*8d^0	$15 c^{-} \cdot 8 d^{0}$
226428	Simplify	-x square root of 5y^4	$- x \sqrt{5 y^{4}}$
226429	Solve the Inequality for x	-5x+6<2(-3-x)	$- 5 x + 6 < 2 (- 3 - x)$
226430	Simplify	(5x)/4-1/(5x^3)	$\frac{5 x}{4} - \frac{1}{5 x^{3}}$
226431	Simplify the Radical Expression	( square root of 8)/( square root of 6)	$\frac{\sqrt{8}}{\sqrt{6}}$
226432	Solve the Inequality for x	10/(x+4)>3-x	$\frac{10}{x + 4} > 3 - x$
226433	Write the Fraction in Simplest Form	((5k^3b^2)^-2)/(5k^7)	$\frac{{(5 k^{3} b^{2})}^{- 2}}{5 k^{7}}$
226434	Solve the System of Equations	What is the solution to the system of equations y=x^2-2 and y=-2 ?	What is the solution to the system of equations $y = x^{2} - 2$ and $y = - 2$ ?
226435	Divide Using Long Polynomial Division	Use the long division method to find the result when 6x^3+11x^2+21x+6 is divided by 3x+1	Use the long division method to find the result when $6 x^{3} + 11 x^{2} + 21 x + 6$ is divided by $3 x + 1$
226436	Simplify	(3- square root of 2)/(3+ square root of 2)	$\frac{3 - \sqrt{2}}{3 + \sqrt{2}}$
226437	Simplify	-4+7*4^2	$- 4 + 7 \cdot 4^{2}$
226438	Solve for t	tan(t)=1	$\tan (t) = 1$
226439	Write the Fraction in Simplest Form	(12q^-6)/(4(q)^2)	$\frac{12 q^{- 6}}{4 {(q)}^{2}}$
226440	Simplify	2* log of 3	$2 \cdot \log (3)$
226441	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (7,2) and has a slope of 1 ?	What is the equation of the line that passes through the point $(7, 2)$ and has a slope of $1$ ?
226442	Rationalize the Denominator	cube root of 2/4	$\sqrt[3]{\frac{2}{4}}$
226443	Factor	x^2*10x+24	$x^{2} \cdot 10 x + 24$
226444	Solve the Inequality for x	cos(x)<0	$\cos (x) < 0$
226445	Simplify	(m3/5)/(m2/5)	$\frac{m \frac{3}{5}}{m \frac{2}{5}}$
226446	Solve the Inequality for x	x^2-6x<-9	$x^{2} - 6 x < - 9$
226447	Solve the System of Equations	x+2y=-2 y=-1/3x	$x + 2 y = - 2$ $y = - \frac{1}{3} x$
226448	Simplify	(-2a^3b)^2*8ab^9	${(- 2 a^{3} b)}^{2} \cdot 8 a b^{9}$
226449	Solve the Rational Equation for x	square root of 1-5x=1+ square root of 6-x	$\sqrt{1 - 5 x} = 1 + \sqrt{6 - x}$
226450	Simplify	Simplify square root of 32	Simplify $\sqrt{32}$
226451	Simplify	(650mg)/(325mg)*2ml	$\frac{650 mg}{325 mg} \cdot 2 ml$
226452	Solve for x	square root of x=1/3	$\sqrt{x} = \frac{1}{3}$
226453	Solve for b	square root of 63-7b-b=-9	$\sqrt{63 - 7 b - b} = - 9$
226454	Simplify the Radical Expression	8/( cube root of 3x^2)	$\frac{8}{\sqrt[3]{3 x^{2}}}$
226455	Graph	\|x-9\|=x^2+3	$\| x - 9 \| = x^{2} + 3$
226456	Evaluate	8-5y+2x-3+4y+2+4x-2	$8 - 5 y + 2 x - 3 + 4 y + 2 + 4 x - 2$
226457	Multiply	(3x^2+x-14)/(2x^2-11x+5)*(2x-1)/(3x-6)	$\frac{3 x^{2} + x - 14}{2 x^{2} - 11 x + 5} \cdot \frac{2 x - 1}{3 x - 6}$
226458	Find the Degree, Leading Term, and Leading Coefficient	f(x)=(x+4)^2(x+2)(x-2)^2	$f (x) = {(x + 4)}^{2} (x + 2) {(x - 2)}^{2}$
226459	Find the Product	(4x^2y+3xy-x^2)(-x^3y^2)	$(4 x^{2} y + 3 x y - x^{2}) (- x^{3} y^{2})$
226460	Evaluate	square root of 25+10 square root of 5+5	$\sqrt{25 + 10 \sqrt{5} + 5}$
226461	Graph	y=1/4cot(x+pi)	$y = \frac{1}{4} \cot (x + π)$
226462	Factor	(2x+4y)^3	${(2 x + 4 y)}^{3}$
226463	Solve for x	\|2x-5\|+\|5-2x\|<14	$\| 2 x - 5 \| + \| 5 - 2 x \| < 14$
226464	Solve the Absolute Value Inequality for x	\|x/2-4\|=2	$\| \frac{x}{2} - 4 \| = 2$
226465	Simplify	(x^3y^-5)(2x^-4y^2)(4xy^5)	$(x^{3} y^{- 5}) (2 x^{- 4} y^{2}) (4 x y^{5})$
226466	Factor by Grouping	24x^3y^2+16x^2y+12xy^4	$24 x^{3} y^{2} + 16 x^{2} y + 12 x y^{4}$
226467	Convert to a Decimal	60% as a decimal	$60 %$ as a decimal
226468	Divide Using Synthetic Division	Use synthetic division to find the result when 3x^4+14x^3+6x^2-9x-4 is divided by x+4	Use synthetic division to find the result when $3 x^{4} + 14 x^{3} + 6 x^{2} - 9 x - 4$ is divided by $x + 4$
226469	Simplify	square root of 32* square root of 2	$\sqrt{32 \cdot \sqrt{2}}$
226470	Simplify	(a+2b-10)^2	${(a + 2 b - 10)}^{2}$
226471	Solve the Inequality for x	-x^2+2x<=0	$- x^{2} + 2 x \leq 0$
226472	Solve the Inequality for v	4v<=-20	$4 v \leq - 20$
226473	Find the End Behavior	f(x)=(x+4)^2(x+2)(x-2)^2	$f (x) = {(x + 4)}^{2} (x + 2) {(x - 2)}^{2}$
226474	Graph	x^3+x+1	$x^{3} + x + 1$
226475	Find the Roots (Zeros)	(x^2-1)(9x^2+16x+21)	$(x^{2} - 1) (9 x^{2} + 16 x + 21)$
226476	Find the x and y Intercepts	y=(3x)/(x-3)*(x-4)/(x+1)	$y = \frac{3 x}{(x - 3)} \cdot \frac{(x - 4)}{(x + 1)}$
226477	Evaluate	((10^15)/(10^5))^3	${(\frac{10^{15}}{10^{5}})}^{3}$
226478	Solve for x	log base 32 of x>1/5	$\log_{32} (x) > \frac{1}{5}$
226479	Identify the Sequence	5 , 4 , 16/5	$5$ , $4$ , $\frac{16}{5}$
226480	Solve the Inequality for x	40>=8(12+x)	$40 \geq 8 (12 + x)$
226481	Solve Using the Quadratic Formula	x^3-6x+1=0	$x^{3} - 6 x + 1 = 0$
226482	Find the Excluded Values	(3x)/(x(2x-3))	$\frac{3 x}{x (2 x - 3)}$
226483	Solve for x	sin(x^3-x)=0	$\sin (x^{3} - x) = 0$
226484	Solve the System of Equations	3x+2y=6 y=-5/2x+1	$3 x + 2 y = 6$ $y = - \frac{5}{2} x + 1$
226485	Solve for a	9a+3b=30 8a+4b=28	$9 a + 3 b = 30$ $8 a + 4 b = 28$
226486	Solve for x	square root of x+9=1+ square root of x	$\sqrt{x + 9} = 1 + \sqrt{x}$
226487	Solve for T	T=gr+gvt	$T = g r + g v t$
226488	Divide Using Long Polynomial Division	(x^2-2x-37)÷(x^2-3x-40)	$(x^{2} - 2 x - 37) \div (x^{2} - 3 x - 40)$
226489	Multiply	10y^4(-9x^2)	$10 y^{4} (- 9 x^{2})$
226490	Find All Complex Solutions	2/x-(3x)/(x+3)=x/(x+3)	$\frac{2}{x} - \frac{3 x}{x + 3} = \frac{x}{x + 3}$
226491	Factor	216r^9+8s^3t^3	$216 r^{9} + 8 s^{3} t^{3}$
226492	Simplify	2 square root of -16- square root of 16-2 cube root of -216-3 cube root of -343	$2 \sqrt{- 16} - \sqrt{16} - 2 \sqrt[3]{- 216} - 3 \sqrt[3]{- 343}$
226493	Solve for t	5(2t-3)-7.5t=0.5(12-t)	$5 (2 t - 3) - 7.5 t = 0.5 (12 - t)$
226494	Simplify	-4/(2 square root of 5)	$- \frac{4}{2 \sqrt{5}}$
226495	Find the Quotient	(y^9)÷(y^3)	$y^{9} \div y^{3}$
226496	Factor	(2x+y)^2-y^2	${(2 x + y)}^{2} - y^{2}$
226497	Graph	3(7x+17)>-19+14x	$3 (7 x + 17) > - 19 + 14 x$
226498	Simplify	- square root of 54a^2b+ square root of 24a^2b	$- \sqrt{54 a^{2} b} + \sqrt{24 a^{2} b}$
226499	Write the Fraction in Simplest Form	((2k^5)^-3)/(2j^5k^3)	$\frac{{(2 k^{5})}^{- 3}}{2 j^{5} k^{3}}$
226500	Simplify	1/4z+1/5z	$\frac{1}{4} z + \frac{1}{5} z$