Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
220501	Simplify	2*( square root of 2)/2	$2 \cdot \frac{\sqrt{2}}{2}$
220502	Simplify	(a+bi)^2-(a-bi)^2	${(a + b i)}^{2} - {(a - b i)}^{2}$
220503	Write as a Single Logarithm	log base 5 of 49* log base 8 of 5* log base 9 of 8* log base 7 of 9	$\log_{5} (49) \cdot \log_{8} (5) \cdot \log_{9} (8) \cdot \log_{7} (9)$
220504	Evaluate	Evaluate 1-2/3+4/9-8/27+dots	Evaluate $1 - \frac{2}{3} + \frac{4}{9} - \frac{8}{27} + d o t s$
220505	Solve the System of Inequalities	4x+1<9 and -6x-2<10	$4 x + 1 < 9$ and $- 6 x - 2 < 10$
220506	Factor by Grouping	a^3-9a^2b+ab-9b^2	$a^{3} - 9 a^{2} b + a b - 9 b^{2}$
220507	Solve for x	(x-3)^(2/5)=(4x)^(1/5)	${(x - 3)}^{\frac{2}{5}} = {(4 x)}^{\frac{1}{5}}$
220508	Simplify	((-2t^4)/(at))^6	${(\frac{- 2 t^{4}}{a t})}^{6}$
220509	Find the Roots (Zeros)	(x-2)(x-3)*2=0	$(x - 2) (x - 3) \cdot 2 = 0$
220510	Evaluate	(12b^6c^3)/(6b^4c^2)	$\frac{12 b^{6} c^{3}}{6 b^{4} c^{2}}$
220511	Solve for h	4h=5/15-3/15 4h=2/15	$4 h = \frac{5}{15} - \frac{3}{15}$ $4 h = \frac{2}{15}$
220512	Solve for R	R = square root of 1/((1/(14910^9))^2-(1/(29810^9))^2)	$R = \sqrt{\frac{1}{{(\frac{1}{149 \cdot 10^{9}})}^{2} - {(\frac{1}{298 \cdot 10^{9}})}^{2}}}$
220513	Graph	x<=2 or x>5	$x \leq 2$ or $x > 5$
220514	Solve for x	square root of 5x-1- square root of x+2=3	$\sqrt{5 x - 1} - \sqrt{x} + 2 = 3$
220515	Evaluate	-2(-5a-25+5b)	$- 2 (- 5 a - 25 + 5 b)$
220516	Graph	y>-2x+3 y>=1/4x-1	$y > - 2 x + 3$ $y \geq \frac{1}{4} x - 1$
220517	Evaluate	-8i^2+3	$- 8 i^{2} + 3$
220518	Find the Exact Value	cot((1pi)/4)	$\cot (\frac{1 π}{4})$
220519	Solve the Inequality for x	2x^2+x-3<0	$2 x^{2} + x - 3 < 0$
220520	Convert to a Decimal	660deg	$660$ degrees
220521	Write the Fraction in Simplest Form	2/(x^2-49)-7/(x-7)	$\frac{2}{x^{2} - 49} - \frac{7}{x - 7}$
220522	Write in Standard Form	y=2/7-3x	$y = \frac{2}{7} - 3 x$
220523	Factor	3xy-3y+2xz-2z	$3 x y - 3 y + 2 x z - 2 z$
220524	Simplify	(5^43^3)/(5^23^2)	$\frac{5^{4} \cdot 3^{3}}{5^{2} \cdot 3^{2}}$
220525	Evaluate	2(-4)^2-3-4-2+(-2)^2-4*-4+(-2)	$2 {(- 4)}^{2} - 3 \cdot - 4 \cdot - 2 + {(- 2)}^{2} - 4 \cdot - 4 + (- 2)$
220526	Evaluate	3 fourth root of z*3z^(3/4)	$3 \sqrt[4]{z} \cdot 3 z^{\frac{3}{4}}$
220527	Solve for w	-18w+5(-13w-2)=8(-2w-18)	$- 18 w + 5 (- 13 w - 2) = 8 (- 2 w - 18)$
220528	Solve for c	c/9<=-4	$\frac{c}{9} \leq - 4$
220529	Simplify	(7x-18)/(x^2)+(6x-14)/(x^2)	$\frac{7 x - 18}{x^{2}} + \frac{6 x - 14}{x^{2}}$
220530	Solve for n	-5(n+1)-3=8-(n+4)	$- 5 (n + 1) - 3 = 8 - (n + 4)$
220531	Solve for z	4.8/(2z+15)=0.2/5	$\frac{4.8}{2 z + 15} = \frac{0.2}{5}$
220532	Solve for x	3sec(x)=-2 square root of 3	$3 \sec (x) = - 2 \sqrt{3}$
220533	Find the x and y Intercepts	f(x)=(x+4)^2(x+2)(x-2)^2	$f (x) = {(x + 4)}^{2} (x + 2) {(x - 2)}^{2}$
220534	Graph	graph x=6	graph $x = 6$
220535	Simplify	(10-2x)(6-2x)(x)	$(10 - 2 x) (6 - 2 x) (x)$
220536	Solve for m	-6(-5+m)+3(1-6m)=57	$- 6 (- 5 + m) + 3 (1 - 6 m) = 57$
220537	Write the Fraction in Simplest Form	((4w^-1c^4)^-5)/(5c^-3)	$\frac{{(4 w^{- 1} c^{4})}^{- 5}}{5 c^{- 3}}$
220538	Simplify	(1/(5p^2))÷((9p-36)/(5p^3-35p^2))	$\frac{1}{5 p^{2}} \div \frac{9 p - 36}{5 p^{3} - 35 p^{2}}$
220539	Solve for v	(5v-8)/5=(5v)/6	$\frac{5 v - 8}{5} = \frac{5 v}{6}$
220540	Simplify	(-5(m^-4n^-5)^-3)/(7(p^-6q^8)^-4)	$\frac{- 5 {(m^{- 4} n^{- 5})}^{- 3}}{7 {(p^{- 6} q^{8})}^{- 4}}$
220541	Graph	Graph the equation y=x/3-5 by plotting points.	Graph the equation $y = \frac{x}{3} - 5$ by plotting points.
220542	Graph	y=x^5+x^3-2x+1	$y = x^{5} + x^{3} - 2 x + 1$
220543	Solve the Inequality for x	-2<=(3x-1)/8<=0	$- 2 \leq \frac{3 x - 1}{8} \leq 0$
220544	Solve for d	18.77=3.5(d-12.6)+3.37	$18.77 = 3.5 (d - 12.6) + 3.37$
220545	Simplify	7x(8x^2-4y^2+3y-5)	$7 x (8 x^{2} - 4 y^{2} + 3 y - 5)$
220546	Simplify the Radical Expression	fourth root of (7x^3)/(4b^2)	$\sqrt[4]{\frac{7 x^{3}}{4 b^{2}}}$
220547	Simplify	( square root of 10+ square root of 6)( square root of 30- square root of 18)	$(\sqrt{10} + \sqrt{6}) (\sqrt{30} - \sqrt{18})$
220548	Graph	f(x)=x^2e^x	$f (x) = x^{2} e^{x}$
220549	Simplify	(3-3cos(x)^2)/(sin(x))	$\frac{3 - 3 \cos^{2} (x)}{\sin (x)}$
220550	Solve for x	square root of 3x-3 square root of x+4=0	$\sqrt{3 x} - 3 \sqrt{x + 4} = 0$
220551	Simplify	1/2(2n+4+6m)	$\frac{1}{2} (2 n + 4 + 6 m)$
220552	Write in Standard Form	7/8m+9/10-2m-3/5	$\frac{7}{8} m + \frac{9}{10} - 2 m - \frac{3}{5}$
220553	Simplify	cube root of -54* cube root of 1/2	$\sqrt[3]{- 54} \cdot \sqrt[3]{\frac{1}{2}}$
220554	Divide	a/(a-b)a/b	$\frac{a}{a - b} \cdot \frac{a}{b}$
220555	Solve for d	x^2-2x-15=(ax+b)(cx+d)	$x^{2} - 2 x - 15 = (a x + b) (c x + d)$
220556	Solve the Inequality for x	-3x^2-9x>-3x-240	$- 3 x^{2} - 9 x > - 3 x - 240$
220557	Simplify	(y^-4)(100y^8z^10)^(1/2)	$(y^{- 4}) {(100 y^{8} z^{10})}^{\frac{1}{2}}$
220558	Find the LCM	7 and 21	$7$ and $21$
220559	Simplify	4/3(3/2-3x)	$\frac{4}{3} (\frac{3}{2} - 3 x)$
220560	Solve the System of Equations	x+4y+z=12 y-3z=-7 z=3	$x + 4 y + z = 12$ $y - 3 z = - 7$ $z = 3$
220561	Find the x and y Intercepts	f(x)=-\|x\|+7	$f (x) = - \| x \| + 7$
220562	Evaluate	log base 4 of x=1- log base 4 of x-3	$\log_{4} (x) = 1 - \log_{4} (x - 3)$
220563	Evaluate	40+(72÷9)÷8	$40 + (72 \div 9) \div 8$
220564	Subtract	(3b+2c)/(9b^2c)-(2c-5b)/(6bc^2)	$\frac{3 b + 2 c}{9 b^{2} c} - \frac{2 c - 5 b}{6 b c^{2}}$
220565	Find the LCM	10x^2-10x-6 and x+6	$10 x^{2} - 10 x - 6$ and $x + 6$
220566	Simplify	1/x+1/(x^3y^2)	$\frac{1}{x} + \frac{1}{x^{3} y^{2}}$
220567	Simplify	cube root of 64(a+b)^3	$\sqrt[3]{64 {(a + b)}^{3}}$
220568	Solve the System of Equations	56s=70t s=t+1/2	$56 s = 70 t$ $s = t + \frac{1}{2}$
220569	Simplify	1/2x^3-1/2+1/3x^3	$\frac{1}{2} x^{3} - \frac{1}{2} + \frac{1}{3} x^{3}$
220570	Solve for b	-6b^2-1=-169	$- 6 b^{2} - 1 = - 169$
220571	Solve for y	1/y=8x	$\frac{1}{y} = 8 x$
220572	Solve for x	2x^2+x-1/2=0	$2 x^{2} + x - \frac{1}{2} = 0$
220573	Solve for x	square root of x^2+8x=3	$\sqrt{x^{2} + 8 x} = 3$
220574	Combine Like Terms	(-6x+6)*(4x-5y-2)	$(- 6 x + 6) \cdot (4 x - 5 y - 2)$
220575	Simplify	(4-x square root of 3)^2	${(4 - x \sqrt{3})}^{2}$
220576	Find the Roots (Zeros)	x^2(x-3)	$x^{2} (x - 3)$
220577	Divide	(x^2-1)/x	$\frac{x^{2} - 1}{x}$
220578	Find the Symmetry	y=x^3+x^2-81x-81	$y = x^{3} + x^{2} - 81 x - 81$
220579	Find All Complex Solutions	5x^6=30	$5 x^{6} = 30$
220580	Simplify	-4x^2(6x^2+x)	$- 4 x^{2} (6 x^{2} + x)$
220581	Solve for p	-3(2+4p)=42	$- 3 (2 + 4 p) = 42$
220582	Evaluate	((1.78*10^-1)/0.0534)^4	${(\frac{1.78 \cdot 10^{- 1}}{0.0534})}^{4}$
220583	Simplify	(16x)/(2xy)	$\frac{16 x}{2 x y}$
220584	Evaluate Using the Given Value	((2^2x^2)/(xy^2))^2 for x=3 and y=2	${(\frac{2^{2} x^{2}}{x y^{2}})}^{2}$ for $x = 3$ and $y = 2$
220585	Solve for x	2x- square root of 3=6	$2 x - \sqrt{3} = 6$
220586	Write the Fraction in Simplest Form	((3k^5)^-2)/(5s^-5k^-5)	$\frac{{(3 k^{5})}^{- 2}}{5 s^{- 5} k^{- 5}}$
220587	Simplify	(m^2-9)/(3m^3-3m^2)	$\frac{m^{2} - 9}{3 m^{3} - 3 m^{2}}$
220588	Simplify	(4x^4+2x^3-7x^2+9)-(7x^3+4x^2-5x-6)	$(4 x^{4} + 2 x^{3} - 7 x^{2} + 9) - (7 x^{3} + 4 x^{2} - 5 x - 6)$
220589	Write in Standard Form	7x^3+8x-3x^2+2	$7 x^{3} + 8 x - 3 x^{2} + 2$
220590	Solve for y	(3y)/5=3y-4	$\frac{3 y}{5} = 3 y - 4$
220591	Divide Using Synthetic Division	Use synthetic division to find the result when 4x^3-12x^2+17x-18 is divided by x-2	Use synthetic division to find the result when $4 x^{3} - 12 x^{2} + 17 x - 18$ is divided by $x - 2$
220592	Solve the System of Inequalities	4x-3>5 and 6x+2<-10	$4 x - 3 > 5$ and $6 x + 2 < - 10$
220593	Find the Exact Value	f(2)+f(5)	$f (2) + f (5)$
220594	Divide Using Long Polynomial Division	(3x^5-x)/x	$\frac{3 x^{5} - x}{x}$
220595	Simplify	4^2*4^(1/2)	$4^{2} \cdot 4^{\frac{1}{2}}$
220596	Evaluate	(x^-1)/-1	$\frac{x^{- 1}}{- 1}$
220597	Simplify	2/(5x)+(2x)/3	$\frac{2}{5 x} + \frac{2 x}{3}$
220598	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (4,0) and has a slope of 5/4 ?	What is the equation of the line that passes through the point $(4, 0)$ and has a slope of $\frac{5}{4}$ ?
220599	Simplify	-1/3x+(-2/3x)	$- \frac{1}{3} x + (- \frac{2}{3} x)$
220600	Write in Standard Form	1/4x-12y=1	$\frac{1}{4} x - 12 y = 1$