Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
227301	Evaluate	10^610^210^-8	$10^{6} \cdot 10^{2} \cdot 10^{- 8}$
227302	Solve by Completing the Square	8x=x^2+12	$8 x = x^{2} + 12$
227303	Evaluate	2x(x+3)	$2 x (x + 3)$
227304	Simplify	(n+1)^2-n^2	${(n + 1)}^{2} - n^{2}$
227305	Simplify	(-x^2+6)/(2x^2+3x-5)	$\frac{- x^{2} + 6}{2 x^{2} + 3 x - 5}$
227306	Convert to a Decimal	1 unit	$1$ unit
227307	Solve for x	x- square root of 5 = square root of 20	$x - \sqrt{5} = \sqrt{20}$
227308	Simplify	a2/3*a3/2	$a \frac{2}{3} \cdot a \frac{3}{2}$
227309	Divide Using Synthetic Division	(x^4-2x^3+x^2+x-1)÷(x-1)	$(x^{4} - 2 x^{3} + x^{2} + x - 1) \div (x - 1)$
227310	Simplify	( cube root of 405a^4)( cube root of 54a)	$(\sqrt[3]{405 a^{4}}) (\sqrt[3]{54 a})$
227311	Evaluate	(6^2-(3) square root of 25)/( square root of 6^2+13)	$\frac{6^{2} - (3) \sqrt{25}}{\sqrt{6^{2} + 13}}$
227312	Evaluate	5(4^2-2^3)-7*3	$5 (4^{2} - 2^{3}) - 7 \cdot 3$
227313	Solve the System of Inequalities	-4x+3>-9 and -6x<=12	$- 4 x + 3 > - 9$ and $- 6 x \leq 12$
227314	Solve for x	tan(x)^2=0	$\tan^{2} (x) = 0$
227315	Solve by Substitution	x+y=4 y=-x+4	$x + y = 4$ $y = - x + 4$
227316	Graph	-132>12(n+9)	$- 132 > 12 (n + 9)$
227317	Solve for c	11(8c+5)-8c=2(40c+25)+5	$11 (8 c + 5) - 8 c = 2 (40 c + 25) + 5$
227318	Simplify the Radical Expression	(2 square root of 5r)/( square root of m^3)	$\frac{2 \sqrt{5 r}}{\sqrt{m^{3}}}$
227319	Solve for w	w(w-35)=0	$w (w - 35) = 0$
227320	Solve for x	28/54=(2x+8)/(5x-4)	$\frac{28}{54} = \frac{2 x + 8}{5 x - 4}$
227321	Simplify	(8x+40)/(x+7)*3/(2x^2-50)	$\frac{8 x + 40}{x + 7} \cdot \frac{3}{2 x^{2} - 50}$
227322	Solve for y	3y>-21	$3 y > - 21$
227323	Evaluate	100-(8*7+4)÷15	$100 - (8 \cdot 7 + 4) \div 15$
227324	Rationalize the Denominator	(2+ square root of 3)/( square root of 3+ square root of 2)	$\frac{2 + \sqrt{3}}{\sqrt{3} + \sqrt{2}}$
227325	Graph	f'(x)=0	$f' (x) = 0$
227326	Evaluate	2d+ cube root of -45d	$2 d + \sqrt[3]{- 45 d}$
227327	Evaluate	2cos(x)+ square root of 3=0	$2 \cos (x) + \sqrt{3} = 0$
227328	Solve for x	v^2=vo^2+2ax	$v^{2} = v o^{2} + 2 a x$
227329	Solve the Inequality for z	z+4.5<=3.25	$z + 4.5 \leq 3.25$
227330	Evaluate	5^0*(5^5)/(5^-2)	$5^{0} \cdot \frac{5^{5}}{5^{- 2}}$
227331	Graph	x^2+((5y)/4- square root of \|x\|)^2=1	$x^{2} + {(\frac{5 y}{4} - \sqrt{\| x \|})}^{2} = 1$
227332	Convert to Interval Notation	x<3 and x>-3	$x < 3$ and $x > - 3$
227333	Solve for x	(36)+(3x)=24	$(3 \cdot 6) + (3 \cdot x) = 24$
227334	Simplify	25^0x^3y^0	$25^{0} x^{3} y^{0}$
227335	Divide Using Long Polynomial Division	Use the long division method to find the result when 6x^3+7x^2-8x-5 is divided by 2x+1	Use the long division method to find the result when $6 x^{3} + 7 x^{2} - 8 x - 5$ is divided by $2 x + 1$
227336	Divide	(5^4)/5	$\frac{5^{4}}{5}$
227337	Simplify	4x+3y^2-7z^3+5z^2+14-2x+y^2	$4 x + 3 y^{2} - 7 z^{3} + 5 z^{2} + 14 - 2 x + y^{2}$
227338	Simplify	(x^ay^(b-1))/(x^(a-1)y^b)	$\frac{x^{a} y^{b - 1}}{x^{a - 1} y^{b}}$
227339	Solve for v	-0.5v+0.3=-0.8v	$- 0.5 v + 0.3 = - 0.8 v$
227340	Simplify	5/(6ab)+(3b^2)/(14a^3)	$\frac{5}{6 a b} + \frac{3 b^{2}}{14 a^{3}}$
227341	Solve for z	15>-5+z	$15 > - 5 + z$
227342	Solve the System of Inequalities	x<3 and x>-3	$x < 3$ and $x > - 3$
227343	Evaluate	((3x)^12)/((3x)^4)	$\frac{{(3 x)}^{12}}{{(3 x)}^{4}}$
227344	Multiply	(7a)(3ab)-4a^2b	$(7 a) (3 a b) - 4 a^{2} b$
227345	Find the Domain and Range	f(x) = cube root of 3x^2-x	$f (x) = \sqrt[3]{3 x^{2} - x}$
227346	Simplify	m^2n fifth root of m^5n^12	$m^{2} n \sqrt[5]{m^{5} n^{12}}$
227347	Evaluate	e^(3x+6)=8	$e^{3 x + 6} = 8$
227348	Simplify the Radical Expression	( square root of 125)÷( square root of 5)	$\sqrt{125} \div \sqrt{5}$
227349	Find the Product	x^5x^4x^3	$x^{5} \cdot x^{4} \cdot x^{3}$
227350	Write with Rational (Fractional) Exponents	cube root of 5+ fifth root of 5	$\sqrt[3]{5} + \sqrt[5]{5}$
227351	Subtract	6 cube root of 3-2 cube root of 3	$6 \sqrt[3]{3} - 2 \sqrt[3]{3}$
227352	Find the x and y Intercepts	-1/2x+3y=-3	$- \frac{1}{2} x + 3 y = - 3$
227353	Divide Using Long Polynomial Division	Use the long division method to find the result when 4x^3+5x^2+13x+3 is divided by 4x+1	Use the long division method to find the result when $4 x^{3} + 5 x^{2} + 13 x + 3$ is divided by $4 x + 1$
227354	Solve for x	5(x-a)-3=-12a-(x-4)	$5 (x - a) - 3 = - 12 a - (x - 4)$
227355	Simplify	i^5-4+(2-4i)(-3+5i)	$i^{5} - 4 + (2 - 4 i) (- 3 + 5 i)$
227356	Graph	y=x^3+x^2+2	$y = x^{3} + x^{2} + 2$
227357	Find the Third Term	a_n=((n+2)!)/(n+2)	$a_{n} = \frac{(n + 2)!}{n + 2}$
227358	Evaluate	(4-3)(1-(3+5))*5	$(4 - 3) (1 - (3 + 5)) \times 5$
227359	Solve for n	8n+12=7n+n-14	$8 n + 12 = 7 n + n - 14$
227360	Solve by Graphing	x-3y=6 y=2x+3	$x - 3 y = 6$ $y = 2 x + 3$
227361	Find the Exact Value	sec(pi/3)+2csc(pi/6)	$\sec (\frac{π}{3}) + 2 \csc (\frac{π}{6})$
227362	Divide Using Synthetic Division	Use synthetic division to find the result when 2x^3-x^2-20x+3 is divided by x+3	Use synthetic division to find the result when $2 x^{3} - x^{2} - 20 x + 3$ is divided by $x + 3$
227363	Simplify	limit as x approaches 2 of (x^5-32)/(x^2+3x-10)	$lim_{x \to 2} \frac{x^{5} - 32}{x^{2} + 3 x - 10}$
227364	Solve for x	(-3,-2) and (x,6) , m=2	$(- 3, - 2)$ and $(x, 6)$ , $m = 2$
227365	Solve by Graphing	2x-y=23 x-9=-1	$2 x - y = 23$ $x - 9 = - 1$
227366	Solve for n	4 less than a number n is -15	$4$ less than a number $n$ is $- 15$
227367	Divide	3x-1÷6x^4+x^3+8x^2+9x-4	$3 x - 1 \div 6 x^{4} + x^{3} + 8 x^{2} + 9 x - 4$
227368	Write in Slope-Intercept Form	10(x+3/5)=2y	$10 (x + \frac{3}{5}) = 2 y$
227369	Graph	y=-2(x^2+1)	$y = - 2 (x^{2} + 1)$
227370	Simplify the Radical Expression	(81x^-12y^20)^(-3/4)	${(81 x^{- 12} y^{20})}^{- \frac{3}{4}}$
227371	Simplify	(7x+4)/(x^2+3x+2)-(3x-2)/(x^2+3x+2)	$\frac{7 x + 4}{x^{2} + 3 x + 2} - \frac{3 x - 2}{x^{2} + 3 x + 2}$
227372	Solve for x	log base 8 of x = log base 8 of 10^-1	$\log_{8} (x) = \log_{8} (10^{- 1})$
227373	Factor	(x-4)^2-(10x+1)^2	${(x - 4)}^{2} - {(10 x + 1)}^{2}$
227374	Solve the System of Equations	x+2y=21 and -2x-y=-12	$x + 2 y = 21$ and $- 2 x - y = - 12$
227375	Graph	-1/8<x<=3/2	$- \frac{1}{8} < x \leq \frac{3}{2}$
227376	Solve the Inequality for n	-34+7n>8(2+4n)	$- 34 + 7 n > 8 (2 + 4 n)$
227377	Evaluate	x^5=32	$x^{5} = 32$
227378	Graph	x-2y>-2 2x+y>3	$x - 2 y > - 2$ $2 x + y > 3$
227379	Expand Using the Binomial Theorem	(2x^2y^3-1/4y)^9	${(2 x^{2} y^{3} - \frac{1}{4} y)}^{9}$
227380	Simplify	-y^2+4x^2-y-7y^2+3y^2-4x^2-2x^2	$- y^{2} + 4 x^{2} - y - 7 y^{2} + 3 y^{2} - 4 x^{2} - 2 x^{2}$
227381	Graph	2x-5y>-15 3x+y>=7	$2 x - 5 y > - 15$ $3 x + y \geq 7$
227382	Simplify	cube root of 27 square root of 3	$\sqrt[3]{27 \sqrt{3}}$
227383	Factor by Grouping	2m^6-24m^5+64m^4	$2 m^{6} - 24 m^{5} + 64 m^{4}$
227384	Graph	f(x)< = square root of x-6+2	$f (x) \leq \sqrt{x - 6} + 2$
227385	Find the Product	(5x-y^2)(25x^2+5xy^2+y^4)	$(5 x - y^{2}) (25 x^{2} + 5 x y^{2} + y^{4})$
227386	Solve for x	log of x^2-2+2 log of 6 = log of 6x	$\log (x^{2} - 2) + 2 \log (6) = \log (6 x)$
227387	Solve for y	y=-(2^-5)	$y = - (2^{- 5})$
227388	Simplify	8/(2x^2-7x+5)+(3x+2)/(2x^2-x-10)	$\frac{8}{2 x^{2} - 7 x + 5} + \frac{3 x + 2}{2 x^{2} - x - 10}$
227389	Simplify	(3-6i)/(3i)	$\frac{3 - 6 i}{3 i}$
227390	Find the Exact Value	3 square root of -27	$3 \sqrt{- 27}$
227391	Multiply	cube root of 4x* cube root of 2x	$\sqrt[3]{4 x} \cdot \sqrt[3]{2 x}$
227392	Divide	( square root of 6x)/( square root of 3x)	$\frac{\sqrt{6 x}}{\sqrt{3 x}}$
227393	Solve by Completing the Square	x^2+7/2x-7=0	$x^{2} + \frac{7}{2} x - 7 = 0$
227394	Solve for x	2^3*4^x=2^11	$2^{3} \cdot 4^{x} = 2^{11}$
227395	Simplify	1/(cos(x))+1/(sin(x))	$\frac{1}{\cos (x)} + \frac{1}{\sin (x)}$
227396	Factor	(x-4)^2-(9x-1)^2	${(x - 4)}^{2} - {(9 x - 1)}^{2}$
227397	Solve for w	(2w+8)(2w+10)=224	$(2 w + 8) (2 w + 10) = 224$
227398	Graph	\|x\|<4 and \|y\|<2	$\| x \| < 4$ and $\| y \| < 2$
227399	Evaluate	(1+cos(theta))(1-cos(theta))=sin(theta)^2	$(1 + \cos (θ)) (1 - \cos (θ)) = \sin^{2} (θ)$
227400	Find the x and y Intercepts	f(x)=3(3x+1)	$f (x) = 3 (3 x + 1)$