Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
185301	Convert to Interval Notation	x<=1/3	$x \leq \frac{1}{3}$
185302	Solve for y	y=1/(x+h)-1/x	$y = \frac{1}{x + h} - \frac{1}{x}$
185303	Find All Complex Solutions	2cos(x)^2-sin(x)=1	$2 \cos^{2} (x) - \sin (x) = 1$
185304	Graph	x=(y^2)/3	$x = \frac{y^{2}}{3}$
185305	Solve the Inequality for x	2x<-10	$2 x < - 10$
185306	Solve for x	(1/10)^(x+5)>=(1/100)^(3x)	${(\frac{1}{10})}^{x + 5} \geq {(\frac{1}{100})}^{3 x}$
185307	Solve for x	x^4+33=14x^2	$x^{4} + 33 = 14 x^{2}$
185308	Simplify	(3x)/(x+3)+(x-2)/x	$\frac{3 x}{x + 3} + \frac{x - 2}{x}$
185309	Evaluate Using the Given Value	5-t/3 when t=12	$5 - \frac{t}{3}$ when $t = 12$
185310	Graph	f(x)=1 if x<1; x if x>=1	$f (x) = {\begin{cases} 1 & x < 1 \\ x & x \geq 1 \end{cases}$
185311	Solve for s	8s+3(12-7s)=49	$8 s + 3 (12 - 7 s) = 49$
185312	Simplify	(i^2+3)-(7+i^3)	$(i^{2} + 3) - (7 + i^{3})$
185313	Factor	x^4+4x^3-x^2-16x-12	$x^{4} + 4 x^{3} - x^{2} - 16 x - 12$
185314	Simplify	(5x^2+25x+20)/(7x)	$\frac{5 x^{2} + 25 x + 20}{7 x}$
185315	Find the Exact Value	tan(585 degrees )	$\tan (585 °)$
185316	Solve for b	(2^4)^5=2^b	${(2^{4})}^{5} = 2^{b}$
185317	Graph	f(x)=1/((x-1)(x-2))	$f (x) = \frac{1}{(x - 1) (x - 2)}$
185318	Simplify	cube root of (8x^3+5)-5	$\sqrt[3]{(8 x^{3} + 5) - 5}$
185319	Find the Inverse	A=pir^2	$A = π r^{2}$
185320	Rationalize the Denominator	4/( square root of 3+1)	$\frac{4}{\sqrt{3} + 1}$
185321	Find the Holes in the Graph	(-4x+8)/(x^2-7x+10)	$\frac{- 4 x + 8}{x^{2} - 7 x + 10}$
185322	Solve for x	9-5x+2=4-5x	$9 - 5 x + 2 = 4 - 5 x$
185323	Solve the Inequality for x	5x^2+8x<4	$5 x^{2} + 8 x < 4$
185324	Evaluate	(6!)/(6!(6-6)!)	$\frac{6!}{6! (6 - 6)!}$
185325	Solve for x	a=1/2(1+x)	$a = \frac{1}{2} (1 + x)$
185326	Solve by Completing the Square	-3x^2-42x-51=-12x	$- 3 x^{2} - 42 x - 51 = - 12 x$
185327	Solve for x	x-1=4x+x-8+3x	$x - 1 = 4 x + x - 8 + 3 x$
185328	Find the End Behavior	f(x)=-3x(4x^3-1)(7x^2+1)(x+1) ?	$f (x) = - 3 x (4 x^{3} - 1) (7 x^{2} + 1) (x + 1)$ ?
185329	Evaluate	19--5^2	$19 - - 5^{2}$
185330	Solve for x	8+x=13+2x	$8 + x = 13 + 2 x$
185331	Solve for x	x/3=5/(x-2)	$\frac{x}{3} = \frac{5}{x - 2}$
185332	Evaluate	12+(2-(4*5^2))÷7+1	$12 + (2 - (4 \cdot 5^{2})) \div 7 + 1$
185333	Evaluate	arccsc(2/( square root of 3))	$arccsc (\frac{2}{\sqrt{3}})$
185334	Solve the Rational Equation for x	(x-3)/5-(4-3x)/3=2/15	$\frac{x - 3}{5} - \frac{4 - 3 x}{3} = \frac{2}{15}$
185335	Graph	p(x)=x(2x+3)(x-1)(x+2)	$p (x) = x (2 x + 3) (x - 1) (x + 2)$
185336	Simplify	((z^2w^-1)^3)/((z^3w^2)^2)	$\frac{{(z^{2} w^{- 1})}^{3}}{{(z^{3} w^{2})}^{2}}$
185337	Solve for x	9^(-3x)=3^3	$9^{- 3 x} = 3^{3}$
185338	Solve the System of Equations	y=-3x^2+3 and y=4	$y = - 3 x^{2} + 3$ and $y = 4$
185339	Solve for x	x/(2x-1)-2/(2x+1)=(x^2+20)/(4x^2-1)	$\frac{x}{2 x - 1} - \frac{2}{2 x + 1} = \frac{x^{2} + 20}{4 x^{2} - 1}$
185340	Simplify	(9x-45)/(3x^5+24x^4+36x^3)*(x^3-8x^2-20x)/(x^2-15x+50)	$\frac{9 x - 45}{3 x^{5} + 24 x^{4} + 36 x^{3}} \cdot \frac{x^{3} - 8 x^{2} - 20 x}{x^{2} - 15 x + 50}$
185341	Solve for h	f=1/5(g+h-k)	$f = \frac{1}{5} (g + h - k)$
185342	Solve the Inequality for x	x^2>=36	$x^{2} \geq 36$
185343	Find the Exact Value	1/( square root of 5)	$\frac{1}{\sqrt{5}}$
185344	Factor	ax+x-2a^2x^3	$a x + x - 2 a^{2} x^{3}$
185345	Solve the Inequality for x	2x-1<6x<=4x+3	$2 x - 1 < 6 x \leq 4 x + 3$
185346	Simplify	6/(-6/x)	$\frac{6}{- \frac{6}{x}}$
185347	Simplify	(x^2-6x+5)/(x^2-9x+8)*(9x^2-576)/(x^3-5x^2)	$\frac{x^{2} - 6 x + 5}{x^{2} - 9 x + 8} \cdot \frac{9 x^{2} - 576}{x^{3} - 5 x^{2}}$
185348	Simplify	(-ab^2)(a^2b)(ab)	$(- a b^{2}) (a^{2} b) (a b)$
185349	Find the x and y Intercepts	f(x)=2(5x^2-2)(x-5)(4x^2-2)	$f (x) = 2 (5 x^{2} - 2) (x - 5) (4 x^{2} - 2)$
185350	Solve for x	(3x)/(x-3)-4/x=12/(x^2-3x)	$\frac{3 x}{x - 3} - \frac{4}{x} = \frac{12}{x^{2} - 3 x}$
185351	Convert to Radical Form	(4 fourth root of y^5)^(1/2)	${(4 \sqrt[4]{y^{5}})}^{\frac{1}{2}}$
185352	Subtract	(x^2-2x-6)-(-6x+5)	$(x^{2} - 2 x - 6) - (- 6 x + 5)$
185353	Solve for x	square root of x^2=-x	$\sqrt{x^{2}} = - x$
185354	Solve the Inequality for x	(x-5)/((x+3)^2(x-4))<=0	$\frac{x - 5}{{(x + 3)}^{2} (x - 4)} \leq 0$
185355	Simplify	14(5+x)+10(5+x)	$14 (5 + x) + 10 (5 + x)$
185356	Multiply	1/43/28/9	$\frac{1}{4} \cdot \frac{3}{2} \cdot \frac{8}{9}$
185357	Find the Exact Value	natural log of e^2	$\ln (e^{2})$
185358	Multiply	-3/4*4/3	$- \frac{3}{4} \cdot \frac{4}{3}$
185359	Solve the Inequality for y	6x-9y>=12	$6 x - 9 y \geq 12$
185360	Solve for x	18x+20+x=15-6x	$18 x + 20 + x = 15 - 6 x$
185361	Evaluate	3/8+1/4+1/2-2/3	$\frac{3}{8} + \frac{1}{4} + \frac{1}{2} - \frac{2}{3}$
185362	Simplify	3p(8+2p)-p(2p-3)	$3 p (8 + 2 p) - p (2 p - 3)$
185363	Solve for a	3a-28-7a=10a	$3 a - 28 - 7 a = 10 a$
185364	Evaluate	r+(-5r)	$r + (- 5 r)$
185365	Find the x and y Intercepts	f(x)=- square root of 5x+2-1	$f (x) = - \sqrt{5 x + 2} - 1$
185366	Find the x and y Intercepts	y=(x+4)/(2x-2)	$y = \frac{x + 4}{2 x - 2}$
185367	Simplify	(3x)/(2x+1)-(3x-5)/(2x+1)	$\frac{3 x}{2 x + 1} - \frac{3 x - 5}{2 x + 1}$
185368	Simplify	(q^2+4/7)^2	${(q^{2} + \frac{4}{7})}^{2}$
185369	Find the x and y Intercepts	f(x)=-1/10(x+3)(x-3)(x+1)^3	$f (x) = - \frac{1}{10} (x + 3) (x - 3) {(x + 1)}^{3}$
185370	Solve the System of Equations	x+9y+z=20 x+10y-2z=18 3x+27y+2z=58	$x + 9 y + z = 20$ $x + 10 y - 2 z = 18$ $3 x + 27 y + 2 z = 58$
185371	Solve the Inequality for x	x^3+2x^2-4x<=8	$x^{3} + 2 x^{2} - 4 x \leq 8$
185372	Solve for x	(x-2)(x-a)=0	$(x - 2) (x - a) = 0$
185373	Subtract	9/10-3/10-2/10	$\frac{9}{10} - \frac{3}{10} - \frac{2}{10}$
185374	Simplify	( square root of b)/(3+ square root of b)	$\frac{\sqrt{b}}{3 + \sqrt{b}}$
185375	Solve the Inequality for t	3(4-2t)>=15	$3 (4 - 2 t) \geq 15$
185376	Simplify the Radical Expression	4 square root of 8	$4 \sqrt{8}$
185377	Graph	square root of 0,4	$\sqrt{0, 4}$
185378	Solve for θ	sin(theta)=-4/5	$\sin (θ) = - \frac{4}{5}$
185379	Factor	2x^2y-2xy^2+4xy	$2 x^{2} y - 2 x y^{2} + 4 x y$
185380	Divide	(3/(y^2))÷(3/(y^3))	$\frac{3}{y^{2}} \div \frac{3}{y^{3}}$
185381	Graph	3\|x\|>6	$3 \| x \| > 6$
185382	Find the Function	f(x)=2 square root of x	$f (x) = 2 \sqrt{x}$
185383	Graph	f(x)=-3/2(2)^x	$f (x) = - \frac{3}{2} {(2)}^{x}$
185384	Graph	p(x)=(x+1)(2x+5)(x-3)^2	$p (x) = (x + 1) (2 x + 5) {(x - 3)}^{2}$
185385	Divide	((7x^4)/(24y^5))÷((21x)/(12y^4))	$\frac{7 x^{4}}{24 y^{5}} \div \frac{21 x}{12 y^{4}}$
185386	Graph	y=2x+3 y=x+5	$y = 2 x + 3$ $y = x + 5$
185387	Evaluate	(x+3)^4	${(x + 3)}^{4}$
185388	Solve for k	k^2-16k+64=0	$k^{2} - 16 k + 64 = 0$
185389	Multiply	(5x+y)/(3x+2)*(5x-y)/(3xz-2z)	$\frac{5 x + y}{3 x + 2} \cdot \frac{5 x - y}{3 x z - 2 z}$
185390	Graph	y=5x^4-2x^3+x^2-3x+5	$y = 5 x^{4} - 2 x^{3} + x^{2} - 3 x + 5$
185391	Solve for y	9x+3y=15 for y	$9 x + 3 y = 15$ for $y$
185392	Solve for w	-47-10w=-9w-40-3w	$- 47 - 10 w = - 9 w - 40 - 3 w$
185393	Solve for x	-2x+4x=3x+10	$- 2 x + 4 x = 3 x + 10$
185394	Simplify	9/(9/7)	$\frac{9}{\frac{9}{7}}$
185395	Solve for b	a/(a+b)=c	$\frac{a}{a + b} = c$
185396	Find the Distance Between Two Points	(-9,3) and (-7,-4)	$(- 9, 3)$ and $(- 7, - 4)$
185397	Factor	-10r^5s^2+18r^2s^3-6rs^4	$- 10 r^{5} s^{2} + 18 r^{2} s^{3} - 6 r s^{4}$
185398	Simplify	(81)^(1/4)(27)^(2/3)	${(81)}^{\frac{1}{4}} {(27)}^{\frac{2}{3}}$
185399	Evaluate	0-pi	$0 - π$
185400	Simplify	-3(y+2)*2-5+6y	$- 3 (y + 2) \cdot 2 - 5 + 6 y$