Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
119201	Find the Function Rule	table[[x,q(x)],[6,12],[3,6],[8,16],[12,24]]	$\begin{array}{c} x & q (x) \\ 6 & 12 \\ 3 & 6 \\ 8 & 16 \\ 12 & 24 \end{array}$
119202	Find the LCM	20 , 36	$20$ , $36$
119203	Factor by Grouping	16x^2y-56x^2-12y+42	$16 x^{2} y - 56 x^{2} - 12 y + 42$
119204	Factor by Grouping	3x^2+8x+24x+64	$3 x^{2} + 8 x + 24 x + 64$
119205	Factor by Grouping	3x^3+5x^2+6x+10	$3 x^{3} + 5 x^{2} + 6 x + 10$
119206	Factor by Grouping	6x^2y+7xy^2+y^3	$6 x^{2} y + 7 x y^{2} + y^{3}$
119207	Factor by Grouping	2v^3+7v^2+4v+14	$2 v^{3} + 7 v^{2} + 4 v + 14$
119208	Factor by Grouping	4x^3+20x^2-3x-15	$4 x^{3} + 20 x^{2} - 3 x - 15$
119209	Factor by Grouping	30a^2-55a-12ab+22b	$30 a^{2} - 55 a - 12 a b + 22 b$
119210	Factor by Grouping	2nu-8u+3n-12	$2 n u - 8 u + 3 n - 12$
119211	Factor by Grouping	x^3+4x+x^2+4	$x^{3} + 4 x + x^{2} + 4$
119212	Factor by Grouping	xy+9x-3y-27	$x y + 9 x - 3 y - 27$
119213	Factor by Grouping	12y^2+9y+8y+6	$12 y^{2} + 9 y + 8 y + 6$
119214	Factor by Grouping	4x^3+x^2+32x+8	$4 x^{3} + x^{2} + 32 x + 8$
119215	Factor by Grouping	ab+2a+6b+12	$a b + 2 a + 6 b + 12$
119216	Factor by Grouping	5v^3+7v^2+25v+35	$5 v^{3} + 7 v^{2} + 25 v + 35$
119217	Factor by Grouping	12x^2y-18x^2-8y+12	$12 x^{2} y - 18 x^{2} - 8 y + 12$
119218	Factor by Grouping	5v^3+2v^2+25v+10	$5 v^{3} + 2 v^{2} + 25 v + 10$
119219	Factor by Grouping	k^2+7x+10	$k^{2} + 7 x + 10$
119220	Factor by Grouping	3u^3+2u^2+21u+14	$3 u^{3} + 2 u^{2} + 21 u + 14$
119221	Find the Symmetry	x^4+6x^3+9x^2	$x^{4} + 6 x^{3} + 9 x^{2}$
119222	Find the Symmetry	(x^2-49)/x	$\frac{x^{2} - 49}{x}$
119223	Round to the Nearest Hundredth	0.698	$0.698$
119224	Find Where Increasing/Decreasing	f(x)=-1/5x^3	$f (x) = - \frac{1}{5} x^{3}$
119225	Find Three Ordered Pair Solutions	k(x)=(x-1)^2-4	$k (x) = {(x - 1)}^{2} - 4$
119226	Split Using Partial Fraction Decomposition	(5x-15)/((x-5)(x+1))	$\frac{5 x - 15}{(x - 5) (x + 1)}$
119227	Determine if True	21^2+28^2=35^2	$21^{2} + 28^{2} = 35^{2}$
119228	Find the Discriminant	6x^2-2x+3=0	$6 x^{2} - 2 x + 3 = 0$
119229	Find the Discriminant	7x^2+6x+3=0	$7 x^{2} + 6 x + 3 = 0$
119230	Find the Discriminant	5x^2+11x+6=0	$5 x^{2} + 11 x + 6 = 0$
119231	Find the Discriminant	5x^2+4x+5=0	$5 x^{2} + 4 x + 5 = 0$
119232	Find the Discriminant	t^2+4t+4=0	$t^{2} + 4 t + 4 = 0$
119233	Find the Discriminant	t^2+6t+9=0	$t^{2} + 6 t + 9 = 0$
119234	Find the Second Derivative	x^6e^x	$x^{6} e^{x}$
119235	Find the LCD	9/(175m) , 3/(75m-125)	$\frac{9}{175 m}$ , $\frac{3}{75 m - 125}$
119236	Solve by Completing the Square	x^2-30x+56=-25	$x^{2} - 30 x + 56 = - 25$
119237	Solve by Completing the Square	x^2+2x-27=0	$x^{2} + 2 x - 27 = 0$
119238	Solve by Completing the Square	x^2+18x=-45	$x^{2} + 18 x = - 45$
119239	Solve by Completing the Square	x^2-1/4x-15/64=0	$x^{2} - \frac{1}{4} x - \frac{15}{64} = 0$
119240	Solve by Completing the Square	3x^2+6x-62=7	$3 x^{2} + 6 x - 62 = 7$
119241	Determine if the Expression is a Perfect Square	9x^2y^2	$9 x^{2} y^{2}$
119242	Find the Vertex Form	f(x)=x^2+14x+40	$f (x) = x^{2} + 14 x + 40$
119243	Find g(f(x))	f(x)=6/(x-3) , g(x)=4/(7x)	$f (x) = \frac{6}{x - 3}$ , $g (x) = \frac{4}{7 x}$
119244	Find g(f(x))	f(x)=6x-2 g(x)=x^2	$f (x) = 6 x - 2$ $g (x) = x^{2}$
119245	Find the Maximum/Minimum Value	f(x)=2x^2-16x-5	$f (x) = 2 x^{2} - 16 x - 5$
119246	Find the Maximum/Minimum Value	f(x)=3x^2+18x-7	$f (x) = 3 x^{2} + 18 x - 7$
119247	Find the Maximum/Minimum Value	f(x)=3x^2+30x-1	$f (x) = 3 x^{2} + 30 x - 1$
119248	Find the Maximum/Minimum Value	f(x)=-x^2-8x-10	$f (x) = - x^{2} - 8 x - 10$
119249	Find the Maximum/Minimum Value	f(x)=-x^2+2x+7	$f (x) = - x^{2} + 2 x + 7$
119250	Find Amplitude, Period, and Phase Shift	f(x)=1/2sin(x)+6	$f (x) = \frac{1}{2} \sin (x) + 6$
119251	Find the Possible Factors	119	$119$
119252	Divide Using Synthetic Division	(2x^2-14x-7x^3+x^4)/(7+x)	$\frac{(2 x^{2} - 14 x - 7 x^{3} + x^{4})}{(7 + x)}$
119253	Divide Using Synthetic Division	(x^3-15x^2+68x-96)/(x-3)	$\frac{(x^{3} - 15 x^{2} + 68 x - 96)}{x - 3}$
119254	Divide Using Synthetic Division	(3x^2+7x-20)÷(x+5)	$(3 x^{2} + 7 x - 20) \div (x + 5)$
119255	Find the Inverse	1/2 log of 3x	$\frac{1}{2} \log (3 x)$
119256	Find the Inverse	(x+12)/(x-6)	$\frac{x + 12}{x - 6}$
119257	Find the Inverse	1/2 log of 2x	$\frac{1}{2} \log (2 x)$
119258	Complete the Square	t^2-16t	$t^{2} - 16 t$
119259	Complete the Square	m^2-8m	$m^{2} - 8 m$
119260	Complete the Square	x^2-10x-96	$x^{2} - 10 x - 96$
119261	Complete the Square	z^2-24z	$z^{2} - 24 z$
119262	Round to the Nearest Tenth	37.68	$37.68$
119263	Complete the Square	y^2-6y+	$y^{2} - 6 y +$
119264	Complete the Square	m^2-14m	$m^{2} - 14 m$
119265	Complete the Square	n^2-12n	$n^{2} - 12 n$
119266	Reduce the Fraction	6/38	$\frac{6}{38}$
119267	Reduce the Fraction	30/365	$\frac{30}{365}$
119268	Reduce the Fraction	65/97	$\frac{65}{97}$
119269	Reduce the Fraction	48/73	$\frac{48}{73}$
119270	Use the Rational Roots Test to Find All Possible Roots	10x^4-13x^3-21x^2+10x+8=0	$10 x^{4} - 13 x^{3} - 21 x^{2} + 10 x + 8 = 0$
119271	Solve for x	-18<-2x<=8	$- 18 < - 2 x \leq 8$
119272	Convert to Logarithmic Form	e^-6=0.002	$e^{- 6} = 0.002$
119273	Convert to Logarithmic Form	e^-5=0.007	$e^{- 5} = 0.007$
119274	Convert to Logarithmic Form	16=8 4/3	$16 = 8 \frac{4}{3}$
119275	Convert to Logarithmic Form	b^3=343	$b^{3} = 343$
119276	Find the Difference Quotient	f(x)=8x+8	$f (x) = 8 x + 8$
119277	Find the GCF	12x^3y^5+18x^4y^2	$12 x^{3} y^{5} + 18 x^{4} y^{2}$
119278	Find the GCF	8ab^2-12a^2b^3	$8 a b^{2} - 12 a^{2} b^{3}$
119279	Find the GCF	20x-10	$20 x - 10$
119280	Find the GCF	10z^4-70z^3+35z^2	$10 z^{4} - 70 z^{3} + 35 z^{2}$
119281	Find the GCF	x^3+7x^2-5x	$x^{3} + 7 x^{2} - 5 x$
119282	Find the GCF	6z^5-42z^4+14z^3	$6 z^{5} - 42 z^{4} + 14 z^{3}$
119283	Find the GCF	14x-7	$14 x - 7$
119284	Find the GCF	14z^5-42z^4+6z^3	$14 z^{5} - 42 z^{4} + 6 z^{3}$
119285	Find the GCF	35x^2+14x	$35 x^{2} + 14 x$
119286	Find the GCF	18x-24	$18 x - 24$
119287	Find Where Undefined/Discontinuous	(3x)/(27x^2-3x)	$\frac{3 x}{27 x^{2} - 3 x}$
119288	Find Where Undefined/Discontinuous	(-10k^2)/21*(-6k^4)/25	$\frac{- 10 k^{2}}{21} \cdot \frac{- 6 k^{4}}{25}$
119289	Find Where Undefined/Discontinuous	6/(7x)	$\frac{6}{7 x}$
119290	Find Where Undefined/Discontinuous	(x^2-7x+12)/(x^2-9)*(x^2+4x+3)/(x^2-3x-4)	$\frac{x^{2} - 7 x + 12}{x^{2} - 9} \cdot \frac{x^{2} + 4 x + 3}{x^{2} - 3 x - 4}$
119291	Find Where Undefined/Discontinuous	(6/x+5/y)/(5x+6y)	$\frac{\frac{6}{x} + \frac{5}{y}}{5 x + 6 y}$
119292	Find Where Undefined/Discontinuous	(x^2-12x+32)/(x^2-16)*(x^2+7x+12)/(x^2-5x-24)	$\frac{x^{2} - 12 x + 32}{x^{2} - 16} \cdot \frac{x^{2} + 7 x + 12}{x^{2} - 5 x - 24}$
119293	Find the 5th Term	-5 , 10 , -20	$- 5$ , $10$ , $- 20$
119294	Find the Fourth Term	-5 , 10 , -20	$- 5$ , $10$ , $- 20$
119295	Convert to an Improper Fraction	7 3/7	$7 \frac{3}{7}$
119296	Determine if a Polynomial	x^2+3x^5-6x+12x^3	$x^{2} + 3 x^{5} - 6 x + 12 x^{3}$
119297	Convert to an Improper Fraction	4 7/9	$4 \frac{7}{9}$
119298	Determine if a Polynomial	8c^3	$8 c^{3}$
119299	Determine if a Polynomial	-5x+6y	$- 5 x + 6 y$
119300	Find the x and y Intercepts	log base 2 of x+4-3	$\log_{2} (x + 4) - 3$