Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
172401	Simplify	(cot(x)^2cos(x)^2)/(cot(x)^2-cos(x)^2)	$\frac{\cot^{2} (x) \cos^{2} (x)}{\cot^{2} (x) - \cos^{2} (x)}$
172402	Simplify	(5y^4n^-4)/((3n^-5)^-3)	$\frac{5 y^{4} n^{- 4}}{{(3 n^{- 5})}^{- 3}}$
172403	Solve for k	x^2-kx+36=0	$x^{2} - k x + 36 = 0$
172404	Solve for n	-n-6n+4=53	$- n - 6 n + 4 = 53$
172405	Factor	-29x^4y^2+21x^8y^3z^3	$- 29 x^{4} y^{2} + 21 x^{8} y^{3} z^{3}$
172406	Solve for b	2/5+1/2b=1/4	$\frac{2}{5} + \frac{1}{2} b = \frac{1}{4}$
172407	Simplify the Radical Expression	(x^27y)^(1/3)	${(x^{27} y)}^{\frac{1}{3}}$
172408	Simplify	(2b^7)/((3v^-3b^-2)^-5)	$\frac{2 b^{7}}{{(3 v^{- 3} b^{- 2})}^{- 5}}$
172409	Solve for x	4(1-x)+2x=-3(x+1)	$4 (1 - x) + 2 x = - 3 (x + 1)$
172410	Solve the System of Inequalities	2x-9>-19 and 2x-9>=-5	$2 x - 9 > - 19$ and $2 x - 9 \geq - 5$
172411	Simplify	(-5 square root of -6)( square root of 5)	$(- 5 \sqrt{- 6}) (\sqrt{5})$
172412	Solve Using the Quadratic Formula	(1-6x^2)/x=1/x-8x^2	$\frac{1 - 6 x^{2}}{x} = \frac{1}{x} - 8 x^{2}$
172413	Solve the Inequality for h	6>=h/2	$6 \geq \frac{h}{2}$
172414	Solve the System of Inequalities	5x>=20 or x+14<16	$5 x \geq 20$ or $x + 14 < 16$
172415	Simplify	((3m^2n)^3)/(mn^4)	$\frac{{(3 m^{2} n)}^{3}}{m n^{4}}$
172416	Solve for n	3n-5p+2n=10p for n	$3 n - 5 p + 2 n = 10 p$ for $n$
172417	Solve the Inequality for x	(-x+6)/(x-8)>=0	$\frac{- x + 6}{x - 8} \geq 0$
172418	Solve for x	0.4x+3=0.2(3x+1)-x	$0.4 x + 3 = 0.2 (3 x + 1) - x$
172419	Write in Standard Form	(-5a^3-2a^2)+(6a^3+9a^2+8a)	$(- 5 a^{3} - 2 a^{2}) + (6 a^{3} + 9 a^{2} + 8 a)$
172420	Solve for x	x+8/(x-2)=1+(4x)/(x-2)	$x + \frac{8}{x - 2} = 1 + \frac{4 x}{x - 2}$
172421	Evaluate	f(t)=2t-3	$f (t) = 2 t - 3$
172422	Simplify	3/2(4f-10)	$\frac{3}{2} (4 f - 10)$
172423	Solve for y	2/5y+1/2=-4/7y-3/5	$\frac{2}{5} y + \frac{1}{2} = - \frac{4}{7} y - \frac{3}{5}$
172424	Solve the Absolute Value Inequality for d	\|d+9\|>3	$\| d + 9 \| > 3$
172425	Find f(g(x))	f(x)=x+2 g(x)=x+2	$f (x) = x + 2$ $g (x) = x + 2$
172426	Plot	sin(theta)>0 , cos(theta)<0	$\sin (θ) > 0$ , $\cos (θ) < 0$
172427	Solve the Inequality for x	0>x/5	$0 > \frac{x}{5}$
172428	Evaluate	tan(x)=1	$\tan (x) = 1$
172429	Solve for a	3x^3+6x^2-24x=ax(x+b)(x+c)	$3 x^{3} + 6 x^{2} - 24 x = a x (x + b) (x + c)$
172430	Solve the System of Inequalities	-3<1-6x<=4	$- 3 < 1 - 6 x \leq 4$
172431	Simplify the Radical Expression	fourth root of x^8	$\sqrt[4]{x^{8}}$
172432	Solve the Inequality for k	-5(k+4)>2-(3k+6)	$- 5 (k + 4) > 2 - (3 k + 6)$
172433	Simplify	(-5x^3)/(5x+8)+(6x^3)/(5x+8)	$\frac{- 5 x^{3}}{5 x + 8} + \frac{6 x^{3}}{5 x + 8}$
172434	Simplify	( square root of 2)/(4+ square root of 5)	$\frac{\sqrt{2}}{4 + \sqrt{5}}$
172435	Divide	((x+3)/(x^2-2x-3))÷((x^2+2x-3)/(x+1))	$\frac{x + 3}{x^{2} - 2 x - 3} \div \frac{x^{2} + 2 x - 3}{x + 1}$
172436	Solve for x	square root of x-6 = square root of x+3	$\sqrt{x} - 6 = \sqrt{x + 3}$
172437	Evaluate	(2 1/2)^2	${(2 \frac{1}{2})}^{2}$
172438	Solve for x	square root of 2x+3 = square root of 2x+3	$\sqrt{2 x + 3} = \sqrt{2 x} + 3$
172439	Find the Exact Value	i^4	$i^{4}$
172440	Solve for m	2(m-5)+1=3(m-6)	$2 (m - 5) + 1 = 3 (m - 6)$
172441	Evaluate	-8f(0)+4g(-8)	$- 8 \cdot f (0) + 4 \cdot g (- 8)$
172442	Simplify	x/(x^2-y^2)+(x+y)/(x^2+y^2)	$\frac{x}{x^{2} - y^{2}} + \frac{x + y}{x^{2} + y^{2}}$
172443	Solve for x	log base 2 of 4x+ log base 2 of 2=4	$\log_{2} (4 x) + \log_{2} (2) = 4$
172444	Solve the Inequality for x	x^4>x^2	$x^{4} > x^{2}$
172445	Simplify	( square root of 2)/2*( square root of 3)/2	$\frac{\sqrt{2}}{2} \cdot \frac{\sqrt{3}}{2}$
172446	Simplify	(y^4+5y^2+6)/(4y^5+12y^3)	$\frac{y^{4} + 5 y^{2} + 6}{4 y^{5} + 12 y^{3}}$
172447	Evaluate	5x^0	$5 x^{0}$
172448	Convert to a Decimal	7rad	$7$ radians
172449	Solve the Inequality for v	3+v<=-9	$3 + v \leq - 9$
172450	Find the End Behavior	f(x)=5x^6	$f (x) = 5 x^{6}$
172451	Describe the Transformation	y=f(x)-3	$y = f (x) - 3$
172452	Simplify	(3x)/(6x+3)*(14x+7)/3	$\frac{3 x}{6 x + 3} \cdot \frac{14 x + 7}{3}$
172453	Graph	f(x)=x-2 if x<=3; 1 if x>3	$f (x) = {\begin{cases} x - 2 & x \leq 3 \\ 1 & x > 3 \end{cases}$
172454	Solve the System of Inequalities	6x-2<=9 or 4+3x>15	$6 x - 2 \leq 9$ or $4 + 3 x > 15$
172455	Find the Product	(x+3y)^2	${(x + 3 y)}^{2}$
172456	Factor	x^5-x^4+x^3-x^2+x	$x^{5} - x^{4} + x^{3} - x^{2} + x$
172457	Solve for y	(y+1)(y+3)=-2	$(y + 1) (y + 3) = - 2$
172458	Solve the Inequality for x	-2>=x/5	$- 2 \geq \frac{x}{5}$
172459	Graph	f(x)=-1/2(x+1)^2(x-1)(x-2)^2	$f (x) = - \frac{1}{2} {(x + 1)}^{2} (x - 1) {(x - 2)}^{2}$
172460	Solve Using the Quadratic Formula	a^2+b^2=c^2	$a^{2} + b^{2} = c^{2}$
172461	Solve for x	-4+3x-5x=-1-10+x	$- 4 + 3 x - 5 x = - 1 - 10 + x$
172462	Find the Exact Value	3 square root of 27	$3 \sqrt{27}$
172463	Graph	-3x+4<=7	$- 3 x + 4 \leq 7$
172464	Simplify	(3b^-9)/((3b^-4c^-3)^-3)	$\frac{3 b^{- 9}}{{(3 b^{- 4} c^{- 3})}^{- 3}}$
172465	Solve the Inequality for x	x^2-25<=0	$x^{2} - 25 \leq 0$
172466	Simplify	(12x^2-6x-36)/(-2x^2+x+6)	$\frac{12 x^{2} - 6 x - 36}{- 2 x^{2} + x + 6}$
172467	Solve Using the Quadratic Formula	f(x)=x^2	$f (x) = x^{2}$
172468	Find the Axis of Symmetry	5x^2-4y^2+2x-1=0	$5 x^{2} - 4 y^{2} + 2 x - 1 = 0$
172469	Solve by Substitution	3x=y -5x-10y=-35	$3 x = y$ $- 5 x - 10 y = - 35$
172470	Solve for m	-3(m-2n-4)=-9	$- 3 (m - 2 n - 4) = - 9$
172471	Simplify	(4y^6c^10)/((2y^4c)^-1)	$\frac{4 y^{6} c^{10}}{{(2 y^{4} c)}^{- 1}}$
172472	Simplify	((b^2-2b-15)/(8b+20))÷(2/(4b+10))	$\frac{b^{2} - 2 b - 15}{8 b + 20} \div \frac{2}{4 b + 10}$
172473	Simplify	( square root of 42x^5)÷( square root of 6x^3)	$\sqrt{42 x^{5}} \div \sqrt{6 x^{3}}$
172474	Solve for x	ax-bx+y=z	$a x - b x + y = z$
172475	Solve for x	7(3)^(x+1)-5^(x+2)=3^(x+4)-5^(x+3)	$7 {(3)}^{x + 1} - 5^{x + 2} = 3^{x + 4} - 5^{x + 3}$
172476	Solve for n	D=(c-s)/n	$D = \frac{c - s}{n}$
172477	Graph	-6>5n+5+4	$- 6 > 5 n + 5 + 4$
172478	Simplify	3x^2+5x-7(x^2+4)	$3 x^{2} + 5 x - 7 (x^{2} + 4)$
172479	Find the Holes in the Graph	f(x)=(x^2+2x+1)/(2x^2-x-3)	$f (x) = \frac{x^{2} + 2 x + 1}{2 x^{2} - x - 3}$
172480	Evaluate	(a+h)^2	${(a + h)}^{2}$
172481	Evaluate	(2pi)^2	${(2 π)}^{2}$
172482	Simplify	(3z^6+21z^4)/(z^4+11z^2+28)	$\frac{3 z^{6} + 21 z^{4}}{z^{4} + 11 z^{2} + 28}$
172483	Simplify	(-3(q^-2a^5)^3)/(15q^8a^5)	$\frac{- 3 {(q^{- 2} a^{5})}^{3}}{15 q^{8} a^{5}}$
172484	Write in Exponential Form	log base (x-5) of 4x-6=2	$\log_{(x - 5)} (4 x - 6) = 2$
172485	Simplify	(-2x)/7-(-3x)/7	$\frac{- 2 x}{7} - \frac{- 3 x}{7}$
172486	Find the Exact Value	(x+3)^2	${(x + 3)}^{2}$
172487	Subtract	2 1/2-3/4	$2 \frac{1}{2} - \frac{3}{4}$
172488	Simplify	(243^2)^(1/10)	${(243^{2})}^{\frac{1}{10}}$
172489	Solve for w	f=v/(v-w)k	$f = \frac{v}{v - w} k$
172490	Solve for x	cube root of 5x+3- cube root of 4x=0	$\sqrt[3]{5 x + 3} - \sqrt[3]{4 x} = 0$
172491	Simplify	(9 square root of -81)( square root of 2)	$(9 \sqrt{- 81}) (\sqrt{2})$
172492	Solve the Absolute Value Inequality for a	\|-8a-3\|>11	$\| - 8 a - 3 \| > 11$
172493	Solve the System of Inequalities	4>=x+10 and 18>=x+10	$4 \geq x + 10$ and $18 \geq x + 10$
172494	Solve the Absolute Value Inequality for x	\|2x-1\|<5	$\| 2 x - 1 \| < 5$
172495	Simplify	(5x+2)/6+(2x-3)/3	$\frac{5 x + 2}{6} + \frac{2 x - 3}{3}$
172496	Graph Using a Table of Values	y=-1/2x^2	$y = - \frac{1}{2} x^{2}$
172497	Simplify	(x+1)/(x^2-1)-(x-1)/(x^2-2x+1)	$\frac{x + 1}{x^{2} - 1} - \frac{x - 1}{x^{2} - 2 x + 1}$
172498	Solve for y	9y^2=30y-25	$9 y^{2} = 30 y - 25$
172499	Simplify	cot(theta)*tan(theta)^2	$\cot (θ) \cdot \tan^{2} (θ)$
172500	Divide	(1/4)÷1 1/8	$\frac{1}{4} \div 1 \frac{1}{8}$