Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
136301	Find the LCD	(3k-27)/(k^2-8k-9)+(7k+14)/(3k^2+9k+6)	$\frac{3 k - 27}{k^{2} - 8 k - 9} + \frac{7 k + 14}{3 k^{2} + 9 k + 6}$
136302	Find the LCD	3/x2/(4xy)	$\frac{3}{x} \frac{2}{4 x y}$
136303	Find the LCD	3/81/4	$\frac{3}{8} \frac{1}{4}$
136304	Find the LCD	1/(5x-10y)	$\frac{1}{5 x - 10 y}$
136305	Find the LCD	1/46/(12x)	$\frac{1}{4} \frac{6}{12 x}$
136306	Find the LCD	2/(x^2-4x+4)+3/(x^2-2x)	$\frac{2}{x^{2} - 4 x + 4} + \frac{3}{x^{2} - 2 x}$
136307	Find the LCD	12/(x^2+5x-24)+3/(x-3)	$\frac{12}{x^{2} + 5 x - 24} + \frac{3}{x - 3}$
136308	Find the LCD	2/(3x)+2/3=8/(x+6)	$\frac{2}{3 x} + \frac{2}{3} = \frac{8}{x + 6}$
136309	Find the Intersection of the Sets	{4,6,7,8} intersect {6,8,9}	${4, 6, 7, 8} \cap {6, 8, 9}$
136310	Find the 10th Term	3 , 12 , 48 , 192 , 768 , 3072 , 12288 , 49152	$3$ , $12$ , $48$ , $192$ , $768$ , $3072$ , $12288$ , $49152$
136311	Find the 5th Term	1/2 , 1/6 , 1/18	$\frac{1}{2}$ , $\frac{1}{6}$ , $\frac{1}{18}$
136312	Determine the Possible Number of Real Roots	x^4-6x^3+4x^2+24x-32	$x^{4} - 6 x^{3} + 4 x^{2} + 24 x - 32$
136313	Determine the Possible Number of Real Roots	x^4-7x^3+8x^2+28x-48	$x^{4} - 7 x^{3} + 8 x^{2} + 28 x - 48$
136314	Find the 6th Term	1/2 , 1/4 , 1/8 , 1/16	$\frac{1}{2}$ , $\frac{1}{4}$ , $\frac{1}{8}$ , $\frac{1}{16}$
136315	Find the 5th Term	8 , 20 , 50	$8$ , $20$ , $50$
136316	Find the 5th Term	8 , 16 , 24	$8$ , $16$ , $24$
136317	Find the 6th Term	15 , -45 , 135 , -405	$15$ , $- 45$ , $135$ , $- 405$
136318	Find the 6th Term	16 , 4 , 1 , 1/4	$16$ , $4$ , $1$ , $\frac{1}{4}$
136319	Find the 6th Term	24 , -6 , 3/2 , ...	$24$ , $- 6$ , $\frac{3}{2}$ , $\dots$
136320	Find the 5th Term	10 , 15 , 20 , 25	$10$ , $15$ , $20$ , $25$
136321	Find the 5th Term	2 , 7 , 22 , 67	$2$ , $7$ , $22$ , $67$
136322	Find the 5th Term	2 , 4 , 6	$2$ , $4$ , $6$
136323	Find the 5th Term	2 , 4 , 6 , 8	$2$ , $4$ , $6$ , $8$
136324	Find the 5th Term	5 , 5 square root of 2 , 10	$5$ , $5 \sqrt{2}$ , $10$
136325	Find the 7th Term	2 , 5 , 8 , 11 , 14	$2$ , $5$ , $8$ , $11$ , $14$
136326	Find the 6th Term	4 , 20 , 100 , 500 , 2500	$4$ , $20$ , $100$ , $500$ , $2500$
136327	Find the 7th Term	1/3 , 2/3 , 1 , 4/3 , 5/3	$\frac{1}{3}$ , $\frac{2}{3}$ , $1$ , $\frac{4}{3}$ , $\frac{5}{3}$
136328	Find the 7th Term	-1 , 2/3 , 7/3 , 4 , 17/3	$- 1$ , $\frac{2}{3}$ , $\frac{7}{3}$ , $4$ , $\frac{17}{3}$
136329	Find the 6th Term	7 , 1 , -5 , -11 , -17	$7$ , $1$ , $- 5$ , $- 11$ , $- 17$
136330	Find the Third Term	a_n=5n-3	$a_{n} = 5 n - 3$
136331	Find the Degree	f(x)=(x+2)(x-3)^2	$f (x) = (x + 2) {(x - 3)}^{2}$
136332	Find the Degree	f(x)=3x^3-29x^2+65x+25	$f (x) = 3 x^{3} - 29 x^{2} + 65 x + 25$
136333	Find the Degree	f(x)=4x^3-23x^2+30x+9	$f (x) = 4 x^{3} - 23 x^{2} + 30 x + 9$
136334	Find the Degree	f(x)=8x^2+2x	$f (x) = 8 x^{2} + 2 x$
136335	Find the Degree	g(x)=2(x-3)^2(x^2+2)	$g (x) = 2 {(x - 3)}^{2} (x^{2} + 2)$
136336	Find the Degree	p(x)=3x^4-7x^2-2x^4-x+4	$p (x) = 3 x^{4} - 7 x^{2} - 2 x^{4} - x + 4$
136337	Find the Third Term	a_n=n-2	$a_{n} = n - 2$
136338	Determine if a Polynomial	2x^3y^2+3x^2y-y-4	$2 x^{3} y^{2} + 3 x^{2} y - y - 4$
136339	Determine if a Polynomial	(3x)/7	$\frac{3 x}{7}$
136340	Determine if a Polynomial	15	$15$
136341	Determine if a Polynomial	1-3i	$1 - 3 i$
136342	Determine if a Polynomial	(5x^3+4x^2)-(6x^2-2x-9)	$(5 x^{3} + 4 x^{2}) - (6 x^{2} - 2 x - 9)$
136343	Determine if a Polynomial	f(x)=3/5x^4-18x^2+5-10/(x^2)	$f (x) = \frac{3}{5} x^{4} - 18 x^{2} + 5 - \frac{10}{x^{2}}$
136344	Determine if a Polynomial	f(x)=4x^4-10	$f (x) = 4 x^{4} - 10$
136345	Find the Average Rate of Change	f(x)=-3x^2-x x_1=5 x_2=6	$f (x) = - 3 x^{2} - x$ $x_{1} = 5$ $x_{2} = 6$
136346	Determine if a Polynomial	x^6y^2z	$x^{6} y^{2} z$
136347	Simplify the Matrix	[[3,0],[-3,-1]]^2	${[\begin{array}{c} 3 & 0 \\ - 3 & - 1 \end{array}]}^{2}$
136348	Simplify the Matrix	[[-4n,n+m],[-2n,-4n]]+[[4,-5],[3m,0]]	$[\begin{array}{c} - 4 n & n + m \\ - 2 n & - 4 n \end{array}] + [\begin{array}{c} 4 & - 5 \\ 3 m & 0 \end{array}]$
136349	Simplify the Matrix	table[[x,y],[-1,2],[0,8],[1,32]]	$\begin{array}{c} x & y \\ - 1 & 2 \\ 0 & 8 \\ 1 & 32 \end{array}$
136350	Simplify the Matrix	table[[x,y],[14,-5],[21,-3],[28,-1]]	$\begin{array}{c} x & y \\ 14 & - 5 \\ 21 & - 3 \\ 28 & - 1 \end{array}$
136351	Simplify the Matrix	-5[[5,6,-4],[4,-2,-1]]	$- 5 [\begin{array}{c} 5 & 6 & - 4 \\ 4 & - 2 & - 1 \end{array}]$
136352	Evaluate the Integral	integral of (3y^3-2y^2+(e^y)/6) with respect to y	$\int (3 y^{3} - 2 y^{2} + \frac{e^{y}}{6}) d y$
136353	Write as a Set of Linear Factors	x^4-6x^3+13x^2-24x+36	$x^{4} - 6 x^{3} + 13 x^{2} - 24 x + 36$
136354	Find the Leading Term	(x+y)^7	${(x + y)}^{7}$
136355	Find the Domain and Range	f(x) = log of x	$f (x) = \log (x)$
136356	Find the Domain and Range	f(x)=x^2-6x+8	$f (x) = x^{2} - 6 x + 8$
136357	Determine if the Expression is a Perfect Square	200	$200$
136358	Determine if the Expression is a Perfect Square	25b^2-15b+9	$25 b^{2} - 15 b + 9$
136359	Determine if the Expression is a Perfect Square	49x^2+98x+49	$49 x^{2} + 98 x + 49$
136360	Determine if the Expression is a Perfect Square	46	$46$
136361	Find the Properties	((x+3)^2)/225+((y+8)^2)/81=1	$\frac{{(x + 3)}^{2}}{225} + \frac{{(y + 8)}^{2}}{81} = 1$
136362	Find the Properties	((x-43)^2)/225+((y-68)^2)/169=1	$\frac{{(x - 43)}^{2}}{225} + \frac{{(y - 68)}^{2}}{169} = 1$
136363	Find the Properties	(x^2)/49+(y^2)/45=1	$\frac{x^{2}}{49} + \frac{y^{2}}{45} = 1$
136364	Find the Roots/Zeros Using the Rational Roots Test	x^3+7x^2-45x-51	$x^{3} + 7 x^{2} - 45 x - 51$
136365	Find the Roots/Zeros Using the Rational Roots Test	x^4-2x^3-3x^2+12x-18	$x^{4} - 2 x^{3} - 3 x^{2} + 12 x - 18$
136366	Find the Roots/Zeros Using the Rational Roots Test	x^4-3x^3-3x^2-3x-4	$x^{4} - 3 x^{3} - 3 x^{2} - 3 x - 4$
136367	Find the Roots/Zeros Using the Rational Roots Test	x^3-9x^2+49x-145	$x^{3} - 9 x^{2} + 49 x - 145$
136368	Find the Roots/Zeros Using the Rational Roots Test	x^3-7x^2+24x-18	$x^{3} - 7 x^{2} + 24 x - 18$
136369	Find the Roots/Zeros Using the Rational Roots Test	x^3+6x^2+3x-10	$x^{3} + 6 x^{2} + 3 x - 10$
136370	Find the Roots/Zeros Using the Rational Roots Test	x^3+11x^2+23x-35	$x^{3} + 11 x^{2} + 23 x - 35$
136371	Find the Roots/Zeros Using the Rational Roots Test	4x^4+3x^3-9x^2-2x+1	$4 x^{4} + 3 x^{3} - 9 x^{2} - 2 x + 1$
136372	Find the Roots/Zeros Using the Rational Roots Test	5x^3+29x^2+19x-5	$5 x^{3} + 29 x^{2} + 19 x - 5$
136373	Find the Roots/Zeros Using the Rational Roots Test	2x^3-3x^2-50x+75	$2 x^{3} - 3 x^{2} - 50 x + 75$
136374	Find the Roots/Zeros Using the Rational Roots Test	11x^3+127x^2+67x+11	$11 x^{3} + 127 x^{2} + 67 x + 11$
136375	Find the Roots/Zeros Using the Rational Roots Test	2x^3-x^2-12x+6	$2 x^{3} - x^{2} - 12 x + 6$
136376	Determine if the Expression is a Perfect Square	x^2-10x+c	$x^{2} - 10 x + c$
136377	Determine if the Expression is a Perfect Square	x^2-18x	$x^{2} - 18 x$
136378	Rationalize the Numerator	( cube root of 15y^2)/( cube root of 19x)	$\frac{\sqrt[3]{15 y^{2}}}{\sqrt[3]{19 x}}$
136379	Determine if the Expression is a Perfect Square	y^2+8y	$y^{2} + 8 y$
136380	Determine if the Expression is a Perfect Square	-64	$- 64$
136381	Rationalize the Numerator	square root of 17/7	$\sqrt{\frac{17}{7}}$
136382	Rationalize the Numerator	square root of 13/11	$\sqrt{\frac{13}{11}}$
136383	Rationalize the Numerator	square root of 3/2	$\sqrt{\frac{3}{2}}$
136384	Evaluate the Formula	a=3 , b=4	$a = 3$ , $b = 4$
136385	Determine if @POINT is a Solution	y<1-6x	$y < 1 - 6 x$
136386	Determine if @POINT is a Solution	y=3x-21 , (7,0)	$y = 3 x - 21$ , $(7, 0)$
136387	Determine if @POINT is a Solution	y=17x+1 , (1,-10)	$y = 17 x + 1$ , $(1, - 10)$
136388	Determine if @POINT is a Solution	y=4x-2 , (1,3)	$y = 4 x - 2$ , $(1, 3)$
136389	Determine if @POINT is a Solution	x>=-4	$x \geq - 4$
136390	Determine if @POINT is a Solution	2x-3y>=12	$2 x - 3 y \geq 12$
136391	Find the Perpendicular Line	y=0.25x-7 (-6,8)	$y = 0.25 x - 7$ $(- 6, 8)$
136392	Find the Perpendicular Line	y=-1/5x+3 (4,-3)	$y = - \frac{1}{5} x + 3$ $(4, - 3)$
136393	Maximize the Equation given the Constraints	c=3x+4yx>=2x<=5y>=1y<=6	$c = 3 x + 4 y x \geq 2 x \leq 5 y \geq 1 y \leq 6$
136394	Cancel the Common Factors	(3x-15)/(x^2-x-20)	$\frac{3 x - 15}{x^{2} - x - 20}$
136395	Cancel the Common Factors	(5x-20)/(x^2-2x-8)	$\frac{5 x - 20}{x^{2} - 2 x - 8}$
136396	Convert to a Simplified Fraction	square root of 7	$\sqrt{7}$
136397	Solve Using a Matrix by Elimination	-4x+11y=58x-3y=-16	$- 4 x + 11 y = 58 x - 3 y = - 16$
136398	Solve Using a Matrix by Elimination	-15x-3y=-66x+y=3	$- 15 x - 3 y = - 66 x + y = 3$
136399	Solve Using a Matrix by Elimination	-10x-3y=-84x+y=4	$- 10 x - 3 y = - 84 x + y = 4$
136400	Solve Using a Matrix by Elimination	2x+3y=11-3x-4y=-13	$2 x + 3 y = 11 - 3 x - 4 y = - 13$