Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
225401	Solve for x	x^3-7x^2=28-4x	$x^{3} - 7 x^{2} = 28 - 4 x$
225402	Solve for w	6(-2w-3)=-4(3w+7)+10	$6 (- 2 w - 3) = - 4 (3 w + 7) + 10$
225403	Simplify	(9 2/3*3 5/3)/(6^2)	$\frac{9 \frac{2}{3} \cdot 3 \frac{5}{3}}{6^{2}}$
225404	Solve for x	(3x)/2+5/8=x/4	$\frac{3 x}{2} + \frac{5}{8} = \frac{x}{4}$
225405	Simplify/Condense	(cos(-x))/(tan(-x))+sin(-x)	$\frac{\cos (- x)}{\tan (- x)} + \sin (- x)$
225406	Simplify	2x^-3(x^5-2x^3)	$2 x^{- 3} (x^{5} - 2 x^{3})$
225407	Simplify	square root of 5x+ cube root of 81x- square root of 45x- cube root of 27x	$\sqrt{5 x} + \sqrt[3]{81 x} - \sqrt{45 x} - \sqrt[3]{27 x}$
225408	Solve for p	square root of 11-p- square root of 2+p=-1	$\sqrt{11 - p} - \sqrt{2 + p} = - 1$
225409	Solve the System of Equations	4x+y=0 2y+x=-7	$4 x + y = 0$ $2 y + x = - 7$
225410	Solve for y	2y=y+19	$2 y = y + 19$
225411	Find the x and y Intercepts	y=(x^2)/((x+6)(x-4))	$y = \frac{x^{2}}{(x + 6) (x - 4)}$
225412	Describe the Transformation	f(x)=2 square root of x-1	$f (x) = 2 \sqrt{x - 1}$
225413	Solve for x	1/6x+2/3x+4=x+2	$\frac{1}{6} x + \frac{2}{3} x + 4 = x + 2$
225414	Solve the Rational Equation for x	-(x^2+x-8)/((x-3)(x+5))=x/(x-3)	$- \frac{x^{2} + x - 8}{(x - 3) (x + 5)} = \frac{x}{x - 3}$
225415	Solve for m	(1/7)/(3/4)=(1/6)/m	$\frac{\frac{1}{7}}{\frac{3}{4}} = \frac{\frac{1}{6}}{m}$
225416	Write in Standard Form	(x-4)^2-5(x-4)-3	${(x - 4)}^{2} - 5 (x - 4) - 3$
225417	Simplify the Radical Expression	( square root of 2)/( square root of 2)	$\frac{\sqrt{2}}{\sqrt{2}}$
225418	Graph	y<=x+3 and y>=-2x-2	$y \leq x + 3$ and $y \geq - 2 x - 2$
225419	Simplify	(-4i)^11	${(- 4 i)}^{11}$
225420	Simplify	(x^4-1)/(x^2-1)	$\frac{x^{4} - 1}{x^{2} - 1}$
225421	Simplify the Radical Expression	fourth root of (x^24y^4)/16	$\sqrt[4]{\frac{x^{24} y^{4}}{16}}$
225422	Solve the Inequality for x	3(x-2)<3-2(2x-6)	$3 (x - 2) < 3 - 2 (2 x - 6)$
225423	Write in Standard Form	5-3/4x=7/12	$5 - \frac{3}{4} x = \frac{7}{12}$
225424	Graph	x+y<2 4x+y<-1	$x + y < 2$ $4 x + y < - 1$
225425	Convert to Radical Form	((a^2+3)^(1/3))/((a^2-3)^(-1/3))	$\frac{{(a^{2} + 3)}^{\frac{1}{3}}}{{(a^{2} - 3)}^{- \frac{1}{3}}}$
225426	Divide Using Long Polynomial Division	Use the long division method to find the result when 6x^3+17x^2+19x+28 is divided by 3x+7	Use the long division method to find the result when $6 x^{3} + 17 x^{2} + 19 x + 28$ is divided by $3 x + 7$
225427	Solve for y	limit as x approaches 1 of (x^2-y^2)/(x+2)=-1	$lim_{x \to 1} \frac{x^{2} - y^{2}}{x + 2} = - 1$
225428	Simplify	(5x^2-8+2x)-(x+9x^2+5)	$(5 x^{2} - 8 + 2 x) - (x + 9 x^{2} + 5)$
225429	Find the Inverse	A(r)=pir^2	$A (r) = π r^{2}$
225430	Solve for x	(x-2)/5+8=11	$\frac{x - 2}{5} + 8 = 11$
225431	Divide	( square root of 2)/( square root of 2)	$\frac{\sqrt{2}}{\sqrt{2}}$
225432	Solve for y	-4-3y^2=-10	$- 4 - 3 y^{2} = - 10$
225433	Evaluate	4(5-(-9)*4+2)	$4 (5 - (- 9) \cdot 4 + 2)$
225434	Evaluate	(x^3-x^2-x)(x^3+x^2+x)	$(x^{3} - x^{2} - x) (x^{3} + x^{2} + x)$
225435	Solve for R	V = square root of (2GM)/R	$V = \sqrt{\frac{2 G M}{R}}$
225436	Graph	y=x^3+x^2-4x-4	$y = x^{3} + x^{2} - 4 x - 4$
225437	Convert to Interval Notation	-4<(4-3x)/2<-1	$- 4 < \frac{4 - 3 x}{2} < - 1$
225438	Solve the Inequality for p	2<=-8+p/2	$2 \leq - 8 + \frac{p}{2}$
225439	Identify the Sequence	-1 , 6 , -36 , 216 ; dots	$- 1$ , $6$ , $- 36$ , $216$ ; dots
225440	Write in Slope-Intercept Form	(-2,4) and (3,-1)	$(- 2, 4)$ and $(3, - 1)$
225441	Solve for a	4/(a-3)=2/5	$\frac{4}{a - 3} = \frac{2}{5}$
225442	Solve for x	log base 3 of x+6=2 log base 3 of x	$\log_{3} (x + 6) = 2 \log_{3} (x)$
225443	Solve for x	4/9x^2-4/3x=-1	$\frac{4}{9} x^{2} - \frac{4}{3} x = - 1$
225444	Simplify	square root of 45n^3	$\sqrt{45} n^{3}$
225445	Solve the System of Inequalities	-3m<6 and 4m>24	$- 3 m < 6$ and $4 m > 24$
225446	Solve for x	(x+6)/(4x^2)=(x+1)/(2x^2)	$\frac{x + 6}{4 x^{2}} = \frac{x + 1}{2 x^{2}}$
225447	Solve for r	16=4/3pir^3	$16 = \frac{4}{3} π r^{3}$
225448	Evaluate the Function	h(-8)=(x^2+3x)/(4x+27)	$h (- 8) = \frac{x^{2} + 3 x}{4 x + 27}$
225449	Simplify	i^3-i(2-i)	$i^{3} - i (2 - i)$
225450	Solve for a	x^2+2x-7=(x+a)^2+b	$x^{2} + 2 x - 7 = {(x + a)}^{2} + b$
225451	Convert to Interval Notation	3/4x+7<1 or 9(4-x)<=36	$\frac{3}{4} x + 7 < 1$ or $9 (4 - x) \leq 36$
225452	Evaluate	85% of 40	$85 %$ of $40$
225453	Solve the System of Equations	-x-y=-4 and -2x+4y=4	$- x - y = - 4$ and $- 2 x + 4 y = 4$
225454	Simplify	square root of (50x^3y)/(2xy^7)	$\sqrt{\frac{50 x^{3} y}{2 x y^{7}}}$
225455	Evaluate	log base 5 of 2x+1 = log base 5 of 4x-7	$\log_{5} (2 x + 1) = \log_{5} (4 x - 7)$
225456	Simplify	sin(theta)tan(theta)cot(theta)csc(theta)	$\sin (θ) \tan (θ) \cot (θ) \csc (θ)$
225457	Find the Quotient	(5x^4-3x^3-24x^2+2x-5)/(x+2)	$\frac{5 x^{4} - 3 x^{3} - 24 x^{2} + 2 x - 5}{x + 2}$
225458	Simplify	(x^(1/2))/(-3x^(4/3))	$\frac{x^{\frac{1}{2}}}{- 3 x^{\frac{4}{3}}}$
225459	Graph	(x^2+y^2-1)^3=x^2 y^3	${(x^{2} + y^{2} - 1)}^{3} = x^{2}$ $y^{3}$
225460	Solve the Inequality for x	(3x-5)/4-(x-6)/12<1	$\frac{3 x - 5}{4} - \frac{x - 6}{12} < 1$
225461	Simplify	2/( square root of 5+1)	$\frac{2}{\sqrt{5 + 1}}$
225462	Solve for x	square root of x-3 = square root of x-3	$\sqrt{x - 3} = \sqrt{x - 3}$
225463	Solve for x	5y^2*(2y^3)^x=80y^14	$5 y^{2} \cdot {(2 y^{3})}^{x} = 80 y^{14}$
225464	Solve for y	5y^3-3y^2+8y=0	$5 y^{3} - 3 y^{2} + 8 y = 0$
225465	Solve for x	(x+5)2/3=4	$(x + 5) \frac{2}{3} = 4$
225466	Multiply	a(a+b)	$a (a + b)$
225467	Combine Like Terms	(3-6n^5-8n^4)-(-6n^4-3n-8n^5)	$(3 - 6 n^{5} - 8 n^{4}) - (- 6 n^{4} - 3 n - 8 n^{5})$
225468	Simplify	(3n^(1/5))(9n^(4/5))	$(3 n^{\frac{1}{5}}) (9 n^{\frac{4}{5}})$
225469	Find the Domain and Range	y=sin(x-pi/4)	$y = \sin (x - \frac{π}{4})$
225470	Solve the System of Inequalities	2x+5y<10 3x-4y>=-8	$2 x + 5 y < 10$ $3 x - 4 y \geq - 8$
225471	Solve for c	2=c^2+c	$2 = c^{2} + c$
225472	Graph	x>-3 and x<2	$x > - 3$ and $x < 2$
225473	Simplify	( sixth root of 4)÷( cube root of 3)	$\sqrt[6]{4} \div \sqrt[3]{3}$
225474	Evaluate	(3v+2)-(2/3v-1/4)	$(3 v + 2) - (\frac{2}{3} v - \frac{1}{4})$
225475	Factor by Grouping	125-x^3	$125 - x^{3}$
225476	Simplify the Radical Expression	i^5	$i^{5}$
225477	Find the Domain and Range	f(x)=-3+2	$f (x) = - 3 + 2$
225478	Solve for m	square root of 25-25 = square root of 10+3m	$\sqrt{25 - 25} = \sqrt{10 + 3 m}$
225479	Plot	tan(theta)>0 , sin(theta)<0	$\tan (θ) > 0$ , $\sin (θ) < 0$
225480	Graph	f(x)=-1 if x<-1; x if -1<=x<=1; 1 if x>1	$f (x) = {\begin{cases} - 1 & x < - 1 \\ x & - 1 \leq x \leq 1 \\ 1 & x > 1 \end{cases}$
225481	Solve the System of Equations	x-3y=5 and 8x-7y=6	$x - 3 y = 5$ and $8 x - 7 y = 6$
225482	Rationalize the Denominator	(3 square root of 11- square root of 3)/( square root of 11+ square root of 3)	$\frac{3 \sqrt{11} - \sqrt{3}}{\sqrt{11} + \sqrt{3}}$
225483	Find the Product	1/3(2a^3b)(6b^3)	$\frac{1}{3} (2 a^{3} b) (6 b^{3})$
225484	Solve for k	-(-(-k))-(-2)(-2+k)=-k-(4k+3)	$- (- (- k)) - (- 2) (- 2 + k) = - k - (4 k + 3)$
225485	Divide	(-2/3)÷(2/3)	$- \frac{2}{3} \div \frac{2}{3}$
225486	Evaluate	y=(1/2)^-2	$y = {(\frac{1}{2})}^{- 2}$
225487	Expand the Logarithmic Expression	natural log of (x square root of y)/(zw^3)	$\ln (\frac{x \sqrt{y}}{z w^{3}})$
225488	Solve the System of Equations	a^2+2b^2=10 3a^2-b^2=9	$a^{2} + 2 b^{2} = 10$ $3 a^{2} - b^{2} = 9$
225489	Graph	y=(x+1)^(1/2)+8	$y = {(x + 1)}^{\frac{1}{2}} + 8$
225490	Evaluate	(1/( square root of x+h)-1/( square root of x))/h	$\frac{\frac{1}{\sqrt{x + h}} - \frac{1}{\sqrt{x}}}{h}$
225491	Simplify	(16^(2/5)*8^(2/5))/(4^(2/5))	$\frac{16^{\frac{2}{5}} \cdot 8^{\frac{2}{5}}}{4^{\frac{2}{5}}}$
225492	Solve the Inequality for c	(c+9)/-5<-2	$\frac{c + 9}{- 5} < - 2$
225493	Simplify	(-ab)(-b^2c^2)(-a^2b^2)	$(- a b) (- b^{2} c^{2}) (- a^{2} b^{2})$
225494	Simplify	1/(x-y)+2/(y-x)	$\frac{1}{x - y} + \frac{2}{y - x}$
225495	Simplify the Radical Expression	(7+ square root of 12)(7- square root of 12)	$(7 + \sqrt{12}) (7 - \sqrt{12})$
225496	Evaluate	(6^(1/2)*4^(1/3))^2	${(6^{\frac{1}{2}} \cdot 4^{\frac{1}{3}})}^{2}$
225497	Factor	(x+y)^2+6x(x+y)+8x^2	${(x + y)}^{2} + 6 x (x + y) + 8 x^{2}$
225498	Simplify	(3a^2+a+5)-(2a-5)	$(3 a^{2} + a + 5) - (2 a - 5)$
225499	Simplify	4/(9x)-(3x)/7	$\frac{4}{9 x} - \frac{3 x}{7}$
225500	Solve the Inequality for x	x>=-6-1/4(-6x+5)	$x \geq - 6 - \frac{1}{4} (- 6 x + 5)$