Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
118301	Find Three Ordered Pair Solutions	7x-3y=11	$7 x - 3 y = 11$
118302	Find All Complex Solutions	tan(x)=0	$\tan (x) = 0$
118303	Find All Complex Solutions	sin(2x)=( square root of 3)/2	$\sin (2 x) = \frac{\sqrt{3}}{2}$
118304	Find All Complex Solutions	5y^2=18y-4	$5 y^{2} = 18 y - 4$
118305	Factor by Grouping	20x^2-25x-12x+15	$20 x^{2} - 25 x - 12 x + 15$
118306	Factor by Grouping	4w^3+3w^2+20w+15	$4 w^{3} + 3 w^{2} + 20 w + 15$
118307	Factor by Grouping	5x^3-x^2+10x-2	$5 x^{3} - x^{2} + 10 x - 2$
118308	Factor by Grouping	4y^3+3y^2+8y+6	$4 y^{3} + 3 y^{2} + 8 y + 6$
118309	Factor by Grouping	5v^3+3v^2+35v+21	$5 v^{3} + 3 v^{2} + 35 v + 21$
118310	Factor by Grouping	3x^2+15x+2x+10	$3 x^{2} + 15 x + 2 x + 10$
118311	Solve by Completing the Square	x^2-34x-4=0	$x^{2} - 34 x - 4 = 0$
118312	Solve by Completing the Square	y^2+6y+13=0	$y^{2} + 6 y + 13 = 0$
118313	Solve by Completing the Square	x^2+10x-96=0	$x^{2} + 10 x - 96 = 0$
118314	Solve by Completing the Square	5x^2+x-1/20=0	$5 x^{2} + x - \frac{1}{20} = 0$
118315	Solve by Completing the Square	5x^2=60-20x	$5 x^{2} = 60 - 20 x$
118316	Solve by Completing the Square	5x^2+14x=3	$5 x^{2} + 14 x = 3$
118317	Solve by Completing the Square	4z^2+3z-1=0	$4 z^{2} + 3 z - 1 = 0$
118318	Solve by Completing the Square	x^2+2x=21	$x^{2} + 2 x = 21$
118319	Find the Axis of Symmetry	f(x)=x^2-7x+12	$f (x) = x^{2} - 7 x + 12$
118320	Find the Axis of Symmetry	f(x)=-(x+7)^2+4	$f (x) = - {(x + 7)}^{2} + 4$
118321	Find the Axis of Symmetry	f(x)=-x^2+2x-6	$f (x) = - x^{2} + 2 x - 6$
118322	Find the Axis of Symmetry	h(x)=5x^2+40x+64	$h (x) = 5 x^{2} + 40 x + 64$
118323	Find the End Behavior	y=3x^4+6x^3-x^2+12	$y = 3 x^{4} + 6 x^{3} - x^{2} + 12$
118324	Find the LCM	5p-20 , 15p-60	$5 p - 20$ , $15 p - 60$
118325	Find the LCM	t^2-8t+15 , t^2-t-20	$t^{2} - 8 t + 15$ , $t^{2} - t - 20$
118326	Find the LCM	5 , 20 , 24	$5$ , $20$ , $24$
118327	Find the LCM	10 , 12	$10$ , $12$
118328	Find the Function Rule	table[[x,q(x)],[4,10],[7,16],[2,6]]	$\begin{array}{c} x & q (x) \\ 4 & 10 \\ 7 & 16 \\ 2 & 6 \end{array}$
118329	Find the Determinant	[[0,-2,-3],[1,2,4],[-2,0,1]]	$[\begin{array}{c} 0 & - 2 & - 3 \\ 1 & 2 & 4 \\ - 2 & 0 & 1 \end{array}]$
118330	Complete the Square	x^2+9x-5	$x^{2} + 9 x - 5$
118331	Complete the Square	x^2-3x+	$x^{2} - 3 x +$
118332	Find the Axis of Symmetry	y=-(x+4)^2-6	$y = - {(x + 4)}^{2} - 6$
118333	Find the x and y Intercepts	-3x^3(x-1)^2(x+3)	$- 3 x^{3} {(x - 1)}^{2} (x + 3)$
118334	Find the x and y Intercepts	(8x)/(x^2-4)	$\frac{8 x}{x^{2} - 4}$
118335	Find the Symmetry	y=6x^3	$y = 6 x^{3}$
118336	Rationalize the Denominator	7/(5-2 square root of 2)	$\frac{7}{5 - 2 \sqrt{2}}$
118337	Rationalize the Denominator	6/(2+ square root of 7)	$\frac{6}{2 + \sqrt{7}}$
118338	Rationalize the Denominator	(4(x-y))/( square root of x- square root of y)	$\frac{4 (x - y)}{\sqrt{x} - \sqrt{y}}$
118339	Rationalize the Denominator	15/( cube root of 9)	$\frac{15}{\sqrt[3]{9}}$
118340	Find the Discriminant	3t^2-7t=0	$3 t^{2} - 7 t = 0$
118341	Find the Local Maxima and Minima	p(x)=4/9x^3-2x^2	$p (x) = \frac{4}{9} x^{3} - 2 x^{2}$
118342	Find the Equation Given the Roots	5 , -5 , 5i , -5i	$5$ , $- 5$ , $5 i$ , $- 5 i$
118343	Find the Slope and y-intercept	y=-8x-1	$y = - 8 x - 1$
118344	Find the Slope and y-intercept	y=-3/4x+9	$y = - \frac{3}{4} x + 9$
118345	Find the Slope and y-intercept	y=7/3x+5	$y = \frac{7}{3} x + 5$
118346	Find the Slope and y-intercept	8x+y=2	$8 x + y = 2$
118347	Find the Slope and y-intercept	-6x-3y=9	$- 6 x - 3 y = 9$
118348	Find the Slope and y-intercept	3x-4y=-13	$3 x - 4 y = - 13$
118349	Find the Slope and y-intercept	-2x+8y=24	$- 2 x + 8 y = 24$
118350	Find the Symmetry	f(x)=x^3+2x	$f (x) = x^{3} + 2 x$
118351	Find the GCF	x^2 , -15x	$x^{2}$ , $- 15 x$
118352	Find the GCF	12 , 20 , 56	$12$ , $20$ , $56$
118353	Find the Inverse	log base 1/5 of x	$\log_{\frac{1}{5}} (x)$
118354	Find the Inverse	-2/3x-5	$- \frac{2}{3} x - 5$
118355	Find the Inverse	(6x+7)/(x+6)	$\frac{6 x + 7}{x + 6}$
118356	Find the Maximum/Minimum Value	r(x)=400x-0.2x^2	$r (x) = 400 x - 0.2 x^{2}$
118357	Find the Maximum/Minimum Value	f(x)=-5x^2-50x-123	$f (x) = - 5 x^{2} - 50 x - 123$
118358	Find the Maximum/Minimum Value	f(x)=2x^2-4x-8	$f (x) = 2 x^{2} - 4 x - 8$
118359	Find the Maximum/Minimum Value	f(x)=x^2-7x+12	$f (x) = x^{2} - 7 x + 12$
118360	Divide Using Synthetic Division	(x^2-5x-5x^3+x^4)/(5+x)	$\frac{(x^{2} - 5 x - 5 x^{3} + x^{4})}{(5 + x)}$
118361	Divide Using Synthetic Division	(x^2+7x+12)÷(x+4)	$(x^{2} + 7 x + 12) \div (x + 4)$
118362	Solve Using the Square Root Property	(x-1)^2=32	${(x - 1)}^{2} = 32$
118363	Solve Using the Square Root Property	4(x-2)^2=25	$4 {(x - 2)}^{2} = 25$
118364	Solve Using the Square Root Property	3(x+2)^2=60	$3 {(x + 2)}^{2} = 60$
118365	Solve Using the Square Root Property	3(x+4)^2-24=0	$3 {(x + 4)}^{2} - 24 = 0$
118366	Solve Using the Square Root Property	x^2-245=0	$x^{2} - 245 = 0$
118367	Solve Using the Square Root Property	3(x+8)^2=54	$3 {(x + 8)}^{2} = 54$
118368	Solve Using the Square Root Property	2(x+3)^2=40	$2 {(x + 3)}^{2} = 40$
118369	Solve Using the Square Root Property	(m+11)^2=64	${(m + 11)}^{2} = 64$
118370	Find the Slope	10x+4y=-4	$10 x + 4 y = - 4$
118371	Find the Slope	5x-8y=16	$5 x - 8 y = 16$
118372	Find the Slope	7x-8y=1	$7 x - 8 y = 1$
118373	Find the Slope	-6x-2y=-10	$- 6 x - 2 y = - 10$
118374	Find the Slope	6y=-7x	$6 y = - 7 x$
118375	Find the Slope	(12,-18) , (11,12)	$(12, - 18)$ , $(11, 12)$
118376	Find the Slope	-5x+y=16	$- 5 x + y = 16$
118377	Identify the Sequence	-4 , 8 , -12 , 16	$- 4$ , $8$ , $- 12$ , $16$
118378	Find the Slope	(-3,1) , (-17,2)	$(- 3, 1)$ , $(- 17, 2)$
118379	Find the Slope	m=1/2	$m = \frac{1}{2}$
118380	Identify the Sequence	6 , 14 , 22 , 30 , 38	$6$ , $14$ , $22$ , $30$ , $38$
118381	Divide Using Long Polynomial Division	(4x^2-2x+7)÷(x-1)	$(4 x^{2} - 2 x + 7) \div (x - 1)$
118382	Find the Degree	x^7y^2z	$x^{7} y^{2} z$
118383	Divide Using Long Polynomial Division	(x^5+y^5)÷(x+y)	$(x^{5} + y^{5}) \div (x + y)$
118384	Expand Using Pascal's Triangle	(y-5)^7	${(y - 5)}^{7}$
118385	Find the GCF	8x^3y^2+20x^2y^4	$8 x^{3} y^{2} + 20 x^{2} y^{4}$
118386	Find the GCF	5d^3+20d-35	$5 d^{3} + 20 d - 35$
118387	Find the GCF	20y^6-15y^4+40y^2	$20 y^{6} - 15 y^{4} + 40 y^{2}$
118388	Find the GCF	6m^3x^4+30m^5y^2+45m^3x^6y^2	$6 m^{3} x^{4} + 30 m^{5} y^{2} + 45 m^{3} x^{6} y^{2}$
118389	Find the GCF	16p^4+4p^3	$16 p^{4} + 4 p^{3}$
118390	Find Where Undefined/Discontinuous	(x^2-12x+35)/(x^2-25)*(x^2+6x+5)/(x^2-6x-7)	$\frac{x^{2} - 12 x + 35}{x^{2} - 25} \cdot \frac{x^{2} + 6 x + 5}{x^{2} - 6 x - 7}$
118391	Convert to an Improper Fraction	6 1/6	$6 \frac{1}{6}$
118392	Convert to an Improper Fraction	1 7/12	$1 \frac{7}{12}$
118393	Convert to an Improper Fraction	7 12/25	$7 \frac{12}{25}$
118394	Find the Fourth Term	-2 , 8 , -32	$- 2$ , $8$ , $- 32$
118395	Convert to an Improper Fraction	1 4/9	$1 \frac{4}{9}$
118396	Find the Roots (Zeros)	x^6-4x^5-24x^2+10x-3=0	$x^{6} - 4 x^{5} - 24 x^{2} + 10 x - 3 = 0$
118397	Find the Roots (Zeros)	x^4-3x^3-68x^2-88x-24=0	$x^{4} - 3 x^{3} - 68 x^{2} - 88 x - 24 = 0$
118398	Find the Roots (Zeros)	y=(x-3)(2x+1)(x-1)	$y = (x - 3) (2 x + 1) (x - 1)$
118399	Find the Roots (Zeros)	2x^4-9x^3+17x^2-36x+36=0	$2 x^{4} - 9 x^{3} + 17 x^{2} - 36 x + 36 = 0$
118400	Find the Roots (Zeros)	2x^4-13x^3+25x^2-26x+42=0	$2 x^{4} - 13 x^{3} + 25 x^{2} - 26 x + 42 = 0$