Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
233401	Simplify	x/(x+3)-(6x)/(x^2-9)	$\frac{x}{x + 3} - \frac{6 x}{x^{2} - 9}$
233402	Solve the Inequality for k	16-k>7	$16 - k > 7$
233403	Graph	-1x	$- 1 x$
233404	Simplify	(p^3q^(1/2)r^(1/5))^(2/11)	${(p^{3} q^{\frac{1}{2}} r^{\frac{1}{5}})}^{\frac{2}{11}}$
233405	Find the Domain and Range	y = log base 3 of 2x+8	$y = \log_{3} (2 x + 8)$
233406	Solve the System of Inequalities	2y+x<5 and 3x-y>8	$2 y + x < 5$ and $3 x - y > 8$
233407	Simplify the Radical Expression	m cube root of 192m^5	$m \sqrt[3]{192 m^{5}}$
233408	Evaluate	(7*4)-(2+8)	$(7 \times 4) - (2 + 8)$
233409	Evaluate	(4 7/8x^2-6 3/5x)+(4 4/5x-2 3/8x^2)	$(4 \frac{7}{8} x^{2} - 6 \frac{3}{5} x) + (4 \frac{4}{5} x - 2 \frac{3}{8} x^{2})$
233410	Evaluate	1*pi	$1 \cdot π$
233411	Solve for a	26=a^3+8	$26 = a^{3} + 8$
233412	Simplify	((a^2b^(1/3))/(a^3b))^(1/2)	${(\frac{a^{2} b^{\frac{1}{3}}}{a^{3} b})}^{\frac{1}{2}}$
233413	Solve for x	x-y-11=A	$x - y - 11 = A$
233414	Convert to a Decimal	39deg	$39$ degrees
233415	Simplify	((x+1)/(x+4)-1/x)/(x+1)	$\frac{\frac{x + 1}{x + 4} - \frac{1}{x}}{x + 1}$
233416	Solve for x	x^6-2x^4-4x^2+8=0	$x^{6} - 2 x^{4} - 4 x^{2} + 8 = 0$
233417	Solve for R	E=IR for R	$E = I R$ for $R$
233418	Simplify	-5a^-2bc^-3	$- 5 a^{- 2} b c^{- 3}$
233419	Solve the Inequality for w	(-w+6)/2<5	$\frac{- w + 6}{2} < 5$
233420	Find the LCM	4 and 16	$4$ and $16$
233421	Solve the System of Equations	3x-2y-z=4 , x-y-2z=0 , 4x+3y+z=2	$3 x - 2 y - z = 4$ , $x - y - 2 z = 0$ , $4 x + 3 y + z = 2$
233422	Graph	f(x)=2x-1,x<=1; -x+2,2<=x<=5	$f (x) = {\begin{cases} 2 x - 1, x \leq 1 \\ - x + 2, 2 \leq x \leq 5 \end{cases}$
233423	Solve for x	7- cube root of x=3	$7 - \sqrt[3]{x} = 3$
233424	Solve for x	\|x-1/2\|=2	$\| x - \frac{1}{2} \| = 2$
233425	Simplify	2.5(-10+3 3/4x-6.2)	$2.5 (- 10 + 3 \frac{3}{4} x - 6.2)$
233426	Simplify	(-2+2i)(-5i)^3	$(- 2 + 2 i) {(- 5 i)}^{3}$
233427	Rationalize the Numerator	( square root of a+ square root of b)/(a^2-b^2)	$\frac{\sqrt{a} + \sqrt{b}}{a^{2} - b^{2}}$
233428	Find the Roots (Zeros)	0=x^4+3x^2-4	$0 = x^{4} + 3 x^{2} - 4$
233429	Evaluate	30-(18-8)/-2+(-5)	$30 - \frac{18 - 8}{- 2} + (- 5)$
233430	Evaluate Using the Given Value	9-8/S when S=4	$9 - \frac{8}{S}$ when $S = 4$
233431	Graph	y<x-2 y<3	$y < x - 2$ $y < 3$
233432	Solve for x	3x^3+6x^2-24x=ax(x+b)(x+c)	$3 x^{3} + 6 x^{2} - 24 x = a x (x + b) (x + c)$
233433	Simplify	(3+i)+(3+7i)-(-5+4i)	$(3 + i) + (3 + 7 i) - (- 5 + 4 i)$
233434	Evaluate	2 square root of x-8<24	$2 \sqrt{x - 8} < 24$
233435	Solve for x	6+ log base 2 of x=6	$6 + \log_{2} (x) = 6$
233436	Evaluate	(-( square root of 2)/2)	$(- \frac{\sqrt{2}}{2})$
233437	Subtract	1/2-2/1	$\frac{1}{2} - \frac{2}{1}$
233438	Subtract	3 1/4-1/2	$3 \frac{1}{4} - \frac{1}{2}$
233439	Evaluate	(x^8y^6y^4)/(x^-1)	$\frac{x^{8} y^{6} y^{4}}{x^{- 1}}$
233440	Simplify	square root of x^3+x square root of x	$\sqrt{x^{3}} + x \sqrt{x}$
233441	Simplify	1^2-1	$1^{2} - 1$
233442	Simplify	(2x^4-3x^2)-(x^4+2x^3)+(-x^4+x^3-5x)	$(2 x^{4} - 3 x^{2}) - (x^{4} + 2 x^{3}) + (- x^{4} + x^{3} - 5 x)$
233443	Simplify the Radical Expression	(6 fourth root of 336)/(2 fourth root of 7)	$\frac{6 \sqrt[4]{336}}{2 \sqrt[4]{7}}$
233444	Evaluate	e^(sin(0))	$e^{\sin (0)}$
233445	Solve the Inequality for w	w-4<8	$w - 4 < 8$
233446	Solve the System of Equations	7s+4m+2i=24 5s+3m+6i=30 3s+7m+10i=46	$7 s + 4 m + 2 i = 24$ $5 s + 3 m + 6 i = 30$ $3 s + 7 m + 10 i = 46$
233447	Simplify	Simplify (6/n)^-2	Simplify ${(\frac{6}{n})}^{- 2}$
233448	Simplify	(4x^2+2x)/((x^2+x-2)/((8x^2+4x)/(3x^2+10x+8)))	$\frac{4 x^{2} + 2 x}{\frac{x^{2} + x - 2}{\frac{8 x^{2} + 4 x}{3 x^{2} + 10 x + 8}}}$
233449	Solve for x	3x^2=6-2x	$3 x^{2} = 6 - 2 x$
233450	Solve for y	y=32+y	$y = 32 + y$
233451	Solve for x	2 2/5x+1 1/2x=29	$2 \frac{2}{5} x + 1 \frac{1}{2} x = 29$
233452	Find the Degree, Leading Term, and Leading Coefficient	h(x)=5/3x^2- square root of 7x^4+8x^3-1/2+x	$h (x) = \frac{5}{3} x^{2} - \sqrt{7 x^{4}} + 8 x^{3} - \frac{1}{2} + x$
233453	Simplify	(6a^2b^(3/2))/(12a^(3/2)b^3)	$\frac{6 a^{2} b^{\frac{3}{2}}}{12 a^{\frac{3}{2}} b^{3}}$
233454	Simplify	(6a^3b^2)/(3a^2b-6ab^2)	$\frac{6 a^{3} b^{2}}{3 a^{2} b - 6 a b^{2}}$
233455	Find the Domain and Range	y=(2x)/(x^2-1)	$y = \frac{2 x}{x^{2} - 1}$
233456	Find the Roots (Zeros)	square root of x^2-4=x-2	$\sqrt{x^{2} - 4} = x - 2$
233457	Subtract	5/(a^2+5a)-7/(3a+15)	$\frac{5}{a^{2} + 5 a} - \frac{7}{3 a + 15}$
233458	Multiply	(3x+y)(x+y)	$(3 x + y) (x + y)$
233459	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (3,6) and has a slope of 4/3 ?	What is the equation of the line that passes through the point $(3, 6)$ and has a slope of $\frac{4}{3}$ ?
233460	Solve the Rational Equation for x	x/(x+3)=8/(x+6)	$\frac{x}{x + 3} = \frac{8}{x + 6}$
233461	Simplify	square root of (8x^3)/(50x)	$\sqrt{\frac{8 x^{3}}{50 x}}$
233462	Evaluate	\|5(1)\|+\|-14(-7)\|-13	$\| 5 (1) \| + \| - 14 (- 7) \| - 13$
233463	Expand the Logarithmic Expression	1/( log base b of 4)	$\frac{1}{\log_{b} (4)}$
233464	Simplify	(7m+3n-11-2m)+(n+5--m-3n+8)	$(7 m + 3 n - 11 - 2 m) + (n + 5 - - m - 3 n + 8)$
233465	Solve the Inequality for n	3<=1/3+n	$3 \leq \frac{1}{3} + n$
233466	Simplify	1/( cube root of 9- cube root of 3)	$\frac{1}{\sqrt[3]{9} - \sqrt[3]{3}}$
233467	Find the First Term	a_n=-4n(n-1)	$a_{n} = - 4 n (n - 1)$
233468	Solve by Substitution	x=3-3y x+3y=-6	$x = 3 - 3 y$ $x + 3 y = - 6$
233469	Solve for x	-4x=-6(8+x)	$- 4 x = - 6 (8 + x)$
233470	Evaluate	square root of v-5 = square root of 23-v	$\sqrt{v - 5} = \sqrt{23 - v}$
233471	Graph	f(x)=2cot(x-pi/4)	$f (x) = 2 \cot (x - \frac{π}{4})$
233472	Find the Domain and Range	- square root of -x	$- \sqrt{- x}$
233473	Simplify	square root of (26x^3y)/(47z^5r^3)	$\sqrt{\frac{26 x^{3} y}{47 z^{5} r^{3}}}$
233474	Simplify	(2(nm^4))/(2m^-1n^-2*n^3)	$\frac{2 n m^{4}}{2 m^{- 1} n^{- 2} \cdot n^{3}}$
233475	Simplify	(a^2-2)(a^4+2a^2+4)	$(a^{2} - 2) (a^{4} + 2 a^{2} + 4)$
233476	Evaluate the Function	f(1/2)=-2/3x+5	$f (\frac{1}{2}) = - \frac{2}{3} x + 5$
233477	Solve for x	3x=1+2 square root of x	$3 x = 1 + 2 \sqrt{x}$
233478	Simplify	( square root of 5y^2)^2	${(\sqrt{5} y^{2})}^{2}$
233479	Simplify	(2m+n-1)*-5(2m+n-1)	$(2 m + n - 1) \cdot - 5 (2 m + n - 1)$
233480	Simplify	-(3(v^-1)^5)/(2v^-1)	$- \frac{3 {(v^{- 1})}^{5}}{2 v^{- 1}}$
233481	Simplify the Radical Expression	6x square root of 3x-6 square root of 48x^3	$6 x \sqrt{3 x} - 6 \sqrt{48 x^{3}}$
233482	Find All Complex Number Solutions	x^4=-2+2 square root of 3i	$x^{4} = - 2 + 2 \sqrt{3} i$
233483	Divide	(8x^8y^8)/(x^5y^5)	$\frac{8 x^{8} y^{8}}{x^{5} y^{5}}$
233484	Simplify	(4x^-3)/(2y^0)	$\frac{4 x^{- 3}}{2 y^{0}}$
233485	Simplify	5/(x+y)+5/(x^2-y^2)	$\frac{5}{x + y} + \frac{5}{x^{2} - y^{2}}$
233486	Solve for c	25=c^2	$25 = c^{2}$
233487	Subtract	16/16-4/8	$\frac{16}{16} - \frac{4}{8}$
233488	Divide Using Long Polynomial Division	Use the long division method to find the result when 6x^3+13x^2+27x+14 is divided by 3x+2	Use the long division method to find the result when $6 x^{3} + 13 x^{2} + 27 x + 14$ is divided by $3 x + 2$
233489	Solve for x	4\|3-3x\|-6<30	$4 \| 3 - 3 x \| - 6 < 30$
233490	Simplify	4x^3-2x^2-4x--3x+x^3-2x^2	$4 x^{3} - 2 x^{2} - 4 x - - 3 x + x^{3} - 2 x^{2}$
233491	Solve the System of Equations	5x-y=-9 and 3x+4y=13	$5 x - y = - 9$ and $3 x + 4 y = 13$
233492	Solve for x	2(6-2x)-2x=2(5+x)-4	$2 (6 - 2 x) - 2 x = 2 (5 + x) - 4$
233493	Simplify	(m+m^2)/m	$\frac{m + m^{2}}{m}$
233494	Graph	y=-1/2x-1 and y=1/4x-4	$y = - \frac{1}{2} x - 1$ and $y = \frac{1}{4} x - 4$
233495	Solve for x	3tan(3x) = square root of 3	$3 \tan (3 x) = \sqrt{3}$
233496	Write in Standard Form	2x^2+3=1-x	$2 x^{2} + 3 = 1 - x$
233497	Graph	f(x)=xsin(x)	$f (x) = x \sin (x)$
233498	Find All Complex Solutions	1/(x-2)-2/(x-3)=-1/(x^2-5x+6)	$\frac{1}{x - 2} - \frac{2}{x - 3} = \frac{- 1}{x^{2} - 5 x + 6}$
233499	Write in Standard Form	x^4y^2+4x^3y+10x^2	$x^{4} y^{2} + 4 x^{3} y + 10 x^{2}$
233500	Graph	y+42>=-x^2-13x	$y + 42 \geq - x^{2} - 13 x$