Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
169401	Subtract	(4x^5-7x^3-9x^2+18)-(14x^5-8x^4+11x^2+x)	$(4 x^{5} - 7 x^{3} - 9 x^{2} + 18) - (14 x^{5} - 8 x^{4} + 11 x^{2} + x)$
169402	Evaluate	7/8-(-3/16)	$\frac{7}{8} - (- \frac{3}{16})$
169403	Divide	(-100x^4w^3z)/(25x^3w^6z)	$\frac{- 100 x^{4} w^{3} z}{25 x^{3} w^{6} z}$
169404	Solve for y	-2/3+5/6y=1/3	$- \frac{2}{3} + \frac{5}{6} y = \frac{1}{3}$
169405	Simplify	(x^6)/(x^-1*x^7)	$\frac{x^{6}}{x^{- 1} \cdot x^{7}}$
169406	Solve for a	(4+ square root of -49)-2( square root of (-4)^2+ square root of -324)=a+bi	$(4 + \sqrt{- 49}) - 2 (\sqrt{{(- 4)}^{2}} + \sqrt{- 324}) = a + b i$
169407	Simplify	(a^2x+by^2)^2	${(a^{2} x + b y^{2})}^{2}$
169408	Solve Using the Quadratic Formula	x(x-2)+1=0	$x (x - 2) + 1 = 0$
169409	Divide	(5m^3n-25m^2n^2)/(5m^2n)	$\frac{5 m^{3} n - 25 m^{2} n^{2}}{5 m^{2} n}$
169410	Graph	y=-f(x+1)-2	$y = - f (x + 1) - 2$
169411	Multiply	(x square root of 7-3 square root of 8)(x square root of 7-3 square root of 8)	$(x \sqrt{7} - 3 \sqrt{8}) (x \sqrt{7} - 3 \sqrt{8})$
169412	Factor	29x^2y^5z-32x^4y^4	$29 x^{2} y^{5} z - 32 x^{4} y^{4}$
169413	Graph	y<=1/3x+6 and y<3x+2	$y \leq \frac{1}{3} x + 6$ and $y < 3 x + 2$
169414	Simplify	5(m+3+n)	$5 (m + 3 + n)$
169415	Simplify the Radical Expression	square root of x* fourth root of x	$\sqrt{x} \cdot \sqrt[4]{x}$
169416	Evaluate	((2*5)^2+4)/(3^2-5)	$\frac{{(2 \cdot 5)}^{2} + 4}{3^{2} - 5}$
169417	Factor	(1-x^2)	$(1 - x^{2})$
169418	Solve for Y	5+Y=7	$5 + Y = 7$
169419	Simplify	6/(y-1)*(5-5y)/10	$\frac{6}{y - 1} \cdot \frac{5 - 5 y}{10}$
169420	Solve the Absolute Value Inequality for x	\|5x+9\|=4x	$\| 5 x + 9 \| = 4 x$
169421	Write in Exponential Form	log base (x-8) of x=2x	$\log_{(x - 8)} (x) = 2 x$
169422	Find the Excluded Values	(-3z+6)/(6z^2+14z-80)	$\frac{- 3 z + 6}{6 z^{2} + 14 z - 80}$
169423	Evaluate	2/3(6-3/2)	$\frac{2}{3} (6 - \frac{3}{2})$
169424	Simplify	(-2 square root of -49)(5 square root of -100)	$(- 2 \sqrt{- 49}) (5 \sqrt{- 100})$
169425	Graph Using a Table of Values	y=1/(x^2)	$y = \frac{1}{x^{2}}$
169426	Graph	x(x-6)<=0	$x (x - 6) \leq 0$
169427	Combine Like Terms	3y+4x^2-3x^2-2y+x^2+2y-3x^3	$3 y + 4 x^{2} - 3 x^{2} - 2 y + x^{2} + 2 y - 3 x^{3}$
169428	Evaluate	-4\|5+-3\|	$- 4 \| 5 + - 3 \|$
169429	Graph	f(x)=2x+1 if x<1; -2x+3 if x>=1	$f (x) = {\begin{cases} 2 x + 1 & x < 1 \\ - 2 x + 3 & x \geq 1 \end{cases}$
169430	Solve for x	(x-1)/3+(x+5)/4=1/2	$\frac{x - 1}{3} + \frac{x + 5}{4} = \frac{1}{2}$
169431	Solve for g	4-1/12g-2=3/2g+1-5/6g	$4 - \frac{1}{12} g - 2 = \frac{3}{2} g + 1 - \frac{5}{6} g$
169432	Solve for d	3d+10=d+2	$3 d + 10 = d + 2$
169433	Solve the Inequality for c	20>=-3.2(c-4.3)	$20 \geq - 3.2 (c - 4.3)$
169434	Solve the Inequality for x	x>=8/(2+x)	$x \geq \frac{8}{2 + x}$
169435	Solve for r	l=(x*2pir)/360	$l = \frac{x \cdot 2 π r}{360}$
169436	Graph	y<=x^2+4x-3	$y \leq x^{2} + 4 x - 3$
169437	Simplify	(x+3)/(x+5)+6/(x^2+3x-10)	$\frac{x + 3}{x + 5} + \frac{6}{x^{2} + 3 x - 10}$
169438	Graph	y>=2x^2-3x+1	$y \geq 2 x^{2} - 3 x + 1$
169439	Write in Slope-Intercept Form	y=2	$y = 2$
169440	Simplify	(3ab)/(2a^2x+2a^3)	$\frac{3 a b}{2 a^{2} x + 2 a^{3}}$
169441	Solve the Inequality for x	5.1(3+2.2x)>-14.25-6(1.7x+4)	$5.1 (3 + 2.2 x) > - 14.25 - 6 (1.7 x + 4)$
169442	Graph	y=-2x+1,x<=1; -x+2,x>1	$y = {\begin{cases} - 2 x + 1, x \leq 1 \\ - x + 2, x > 1 \end{cases}$
169443	Graph	3x-y<=0	$3 x - y \leq 0$
169444	Factor	f(x)=x^4-7x^3+9x^2+27x-54	$f (x) = x^{4} - 7 x^{3} + 9 x^{2} + 27 x - 54$
169445	Find f(g(x))	f(x)=8x and g(x)=x/8	$f (x) = 8 x$ and $g (x) = \frac{x}{8}$
169446	Simplify	x(2x^(-1/3))^4	$x {(2 x^{- \frac{1}{3}})}^{4}$
169447	Write in Exponential Form	( fourth root of x)^3	${(\sqrt[4]{x})}^{3}$
169448	Graph	f(x)=1/2(x+2)^2(x+1)(x-1)^2	$f (x) = \frac{1}{2} {(x + 2)}^{2} (x + 1) {(x - 1)}^{2}$
169449	Solve for x	x/(x+3)+1/x=3/x	$\frac{x}{x + 3} + \frac{1}{x} = \frac{3}{x}$
169450	Factor	2ay-6a+15-5y	$2 a y - 6 a + 15 - 5 y$
169451	Solve by Completing the Square	4x^2-30x=12+10x	$4 x^{2} - 30 x = 12 + 10 x$
169452	Solve for x	square root of x-1 = square root of x-10	$\sqrt{x} - 1 = \sqrt{x - 10}$
169453	Convert to Polar	x^2+4y^2=4	$x^{2} + 4 y^{2} = 4$
169454	Simplify	(b+3c)+(b+3c)	$(b + 3 c) + (b + 3 c)$
169455	Solve for x	10x-(8x-3)/4=2(x-3)	$10 x - \frac{8 x - 3}{4} = 2 (x - 3)$
169456	Solve for k	\|1-3/4k\|>=7	$\| 1 - \frac{3}{4} k \| \geq 7$
169457	Simplify	((3d^-4n^5)^-3)/(12d^3n^4)	$\frac{{(3 d^{- 4} n^{5})}^{- 3}}{12 d^{3} n^{4}}$
169458	Subtract	5/2-6/8	$\frac{5}{2} - \frac{6}{8}$
169459	Simplify	(4 square root of -72)(-4 square root of -64)	$(4 \sqrt{- 72}) (- 4 \sqrt{- 64})$
169460	Solve the Inequality for x	-14>=-x-9>-18	$- 14 \geq - x - 9 > - 18$
169461	Find the Exact Value	2*1/2	$2 \cdot \frac{1}{2}$
169462	Factor	m^5+m^3-6m	$m^{5} + m^{3} - 6 m$
169463	Solve the Inequality for x	x/8>4	$\frac{x}{8} > 4$
169464	Find the Product	(a^2-2b)^3	${(a^{2} - 2 b)}^{3}$
169465	Simplify	4y^3+2y^2-2y^2-2-3y-3y	$4 y^{3} + 2 y^{2} - 2 y^{2} - 2 - 3 y - 3 y$
169466	Write in Exponential Form	log base (x+7) of 3x=2	$\log_{(x + 7)} (3 x) = 2$
169467	Simplify	(-3(y^-2)^3)/(5y^2)	$\frac{- 3 {(y^{- 2})}^{3}}{5 y^{2}}$
169468	Graph	3+r/-4<=6	$3 + \frac{r}{- 4} \leq 6$
169469	Graph	y=-3 log base 2 of -x+1	$y = - 3 \log_{2} (- x + 1)$
169470	Find the LCD	8/(x^2-4x-45) and -2/(x^2-9x)	$\frac{8}{x^{2} - 4 x - 45}$ and $\frac{- 2}{x^{2} - 9 x}$
169471	Simplify	(x^2-2x-15)/(x^3-11x^2+30x)	$\frac{x^{2} - 2 x - 15}{x^{3} - 11 x^{2} + 30 x}$
169472	Solve the Inequality for x	9(4x-8)<4(6x+9)	$9 (4 x - 8) < 4 (6 x + 9)$
169473	Simplify	-3xy^3+7xy^3+(-xy^3)+(-3xy^3)	$- 3 x y^{3} + 7 x y^{3} + (- x y^{3}) + (- 3 x y^{3})$
169474	Evaluate	(8^(2/3))^4	${(8^{\frac{2}{3}})}^{4}$
169475	Factor	-26x^2y^4z^2+43x^5y^6z^5	$- 26 x^{2} y^{4} z^{2} + 43 x^{5} y^{6} z^{5}$
169476	Solve the Inequality for x	x-20<=6	$x - 20 \leq 6$
169477	Solve the Inequality for b	5<b-3	$5 < b - 3$
169478	Simplify	(x^-8y^-6)/(x^7y^4)	$\frac{x^{- 8} y^{- 6}}{x^{7} y^{4}}$
169479	Simplify	(a^(1/6)b^(1/3))^6	${(a^{\frac{1}{6}} b^{\frac{1}{3}})}^{6}$
169480	Write in Standard Form	(1+x)(x^2-5x-6)	$(1 + x) (x^{2} - 5 x - 6)$
169481	Simplify	(5x-1)/(x+3)+9/(x(x+3))	$\frac{5 x - 1}{x + 3} + \frac{9}{x (x + 3)}$
169482	Solve the Rational Equation for x	x/5=15+x/3	$\frac{x}{5} = 15 + \frac{x}{3}$
169483	Factor	3x^(-1/2)+4x^(1/2)+x^(3/2)	$3 x^{- \frac{1}{2}} + 4 x^{\frac{1}{2}} + x^{\frac{3}{2}}$
169484	Solve the Rational Equation for x	20/x-20/(x-2)=4/x	$\frac{20}{x} - \frac{20}{x - 2} = \frac{4}{x}$
169485	Solve the Inequality for z	7<z/2+3	$7 < \frac{z}{2} + 3$
169486	Simplify	(4c^4+1)-(7c^3-3)+(2c^4+5c^3)	$(4 c^{4} + 1) - (7 c^{3} - 3) + (2 c^{4} + 5 c^{3})$
169487	Write in Standard Form	y=x^2+2x-3	$y = x^{2} + 2 x - 3$
169488	Simplify	(1/x+1/y)/(x+y)	$\frac{\frac{1}{x} + \frac{1}{y}}{x + y}$
169489	Solve the Inequality for x	\|x-5\|<=3	$\| x - 5 \| \leq 3$
169490	Determine the Number of Significant Figures	0.0001	$0.0001$
169491	Simplify	( square root of -10)(6 square root of 90)	$(\sqrt{- 10}) (6 \sqrt{90})$
169492	Graph	y<=x^2	$y \leq x^{2}$
169493	Simplify	(-9/4a^-2b^7)*(-16a^-3b^-6)	$(- \frac{9}{4} a^{- 2} b^{7}) \cdot (- 16 a^{- 3} b^{- 6})$
169494	Simplify the Radical Expression	25^(1/2)	$25^{\frac{1}{2}}$
169495	Simplify	x(x+1)+(2x^3+x)	$x (x + 1) + (2 x^{3} + x)$
169496	Solve the Rational Equation for x	x^(3/2)=125	$x^{\frac{3}{2}} = 125$
169497	Graph	f(x)=x(x^2-9)	$f (x) = x (x^{2} - 9)$
169498	Solve the Inequality for x	-X^2+4x-7<0	$- X^{2} + 4 x - 7 < 0$
169499	Solve for x	4(3x-1)+7-x=2x+3+9x	$4 (3 x - 1) + 7 - x = 2 x + 3 + 9 x$
169500	Solve the System of Equations	-2x+9y=-17 -x-3y=-1	$- 2 x + 9 y = - 17$ $- x - 3 y = - 1$