Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
120101	Solve by Factoring	9x^2+21-8=0	$9 x^{2} + 21 - 8 = 0$
120102	Solve by Factoring	x^3-7x^2-49x+343=0	$x^{3} - 7 x^{2} - 49 x + 343 = 0$
120103	Solve by Factoring	12x^2-11x+2=0	$12 x^{2} - 11 x + 2 = 0$
120104	Solve by Factoring	x(15x+1)=6	$x (15 x + 1) = 6$
120105	Solve by Factoring	2x^4-48x^2=0	$2 x^{4} - 48 x^{2} = 0$
120106	Write in Standard Form	3x^5-2+6x-2x^2+x^3	$3 x^{5} - 2 + 6 x - 2 x^{2} + x^{3}$
120107	Write in Standard Form	8x^4-12x^2+11x	$8 x^{4} - 12 x^{2} + 11 x$
120108	Solve by Factoring	x^2+13x+43=1	$x^{2} + 13 x + 43 = 1$
120109	Solve by Factoring	5x^2+70x+245=0	$5 x^{2} + 70 x + 245 = 0$
120110	Combine	(sin(x))/(cos(x))+(cos(x))/(sin(x))	$\frac{\sin (x)}{\cos (x)} + \frac{\cos (x)}{\sin (x)}$
120111	Apply the Quadratic Formula	2x^2+4x+7	$2 x^{2} + 4 x + 7$
120112	Apply the Quadratic Formula	5x^2-7x-1	$5 x^{2} - 7 x - 1$
120113	Find Three Ordered Pair Solutions	7x+3y=2	$7 x + 3 y = 2$
120114	Find Three Ordered Pair Solutions	3x-5y=-13	$3 x - 5 y = - 13$
120115	Find Three Ordered Pair Solutions	5x-3y=7	$5 x - 3 y = 7$
120116	Divide Using Synthetic Division	(x^3-2x^2-5x+6)/(x-1)	$\frac{(x^{3} - 2 x^{2} - 5 x + 6)}{(x - 1)}$
120117	Divide Using Synthetic Division	(4x^2+x-18)÷(x-2)	$(4 x^{2} + x - 18) \div (x - 2)$
120118	Divide Using Synthetic Division	(x^4+8x^3+12x^2-14x+5)/(x+5)	$\frac{x^{4} + 8 x^{3} + 12 x^{2} - 14 x + 5}{x + 5}$
120119	Divide Using Synthetic Division	(1/5x^3-4/25x^2+4/125x-1/625)/(x-1/5)	$\frac{\frac{1}{5} x^{3} - \frac{4}{25} x^{2} + \frac{4}{125} x - \frac{1}{625}}{x - \frac{1}{5}}$
120120	Divide Using Synthetic Division	(x^3-2x^2-23x+60)/(x-4)	$\frac{x^{3} - 2 x^{2} - 23 x + 60}{x - 4}$
120121	Divide Using Synthetic Division	(2x^3+11x^2-5x+6)/(x+6)	$\frac{2 x^{3} + 11 x^{2} - 5 x + 6}{x + 6}$
120122	Divide Using Synthetic Division	(x^4-256)/(x-4)	$\frac{x^{4} - 256}{x - 4}$
120123	Solve by Completing the Square	-x^2+8x-6=0	$- x^{2} + 8 x - 6 = 0$
120124	Solve by Completing the Square	x^2+20x+91=0	$x^{2} + 20 x + 91 = 0$
120125	Solve by Completing the Square	5x^2-3x=25	$5 x^{2} - 3 x = 25$
120126	Solve by Completing the Square	4x^2-40x-12=0	$4 x^{2} - 40 x - 12 = 0$
120127	Solve by Completing the Square	x^2-4x=11	$x^{2} - 4 x = 11$
120128	Solve by Completing the Square	x^2-8x=1	$x^{2} - 8 x = 1$
120129	Solve by Completing the Square	x^2-12x+8=0	$x^{2} - 12 x + 8 = 0$
120130	Solve by Completing the Square	x^2-12x=9	$x^{2} - 12 x = 9$
120131	Solve by Completing the Square	2x^2+16x=-18	$2 x^{2} + 16 x = - 18$
120132	Solve by Completing the Square	121x^2-110x=4	$121 x^{2} - 110 x = 4$
120133	Solve by Completing the Square	3x^2-2x-2=4	$3 x^{2} - 2 x - 2 = 4$
120134	Solve by Completing the Square	3x^2-12x-6=0	$3 x^{2} - 12 x - 6 = 0$
120135	Solve by Completing the Square	3x^2+18x+6=0	$3 x^{2} + 18 x + 6 = 0$
120136	Solve by Completing the Square	x^2-2x+25=0	$x^{2} - 2 x + 25 = 0$
120137	Solve by Completing the Square	2x^2+12x-16=0	$2 x^{2} + 12 x - 16 = 0$
120138	Find the Constant of Variation	-12x=6y	$- 12 x = 6 y$
120139	Round to the Nearest Hundredth	0.772	$0.772$
120140	Round to the Nearest Hundredth	2.4375	$2.4375$
120141	Find All Complex Solutions	cos(x)^2+2cos(x)+1=0	$\cos^{2} (x) + 2 \cos (x) + 1 = 0$
120142	Find All Complex Solutions	2sin(x)^2+sin(x)-1=0	$2 \sin^{2} (x) + \sin (x) - 1 = 0$
120143	Find All Complex Solutions	x^7+128=0	$x^{7} + 128 = 0$
120144	Find All Complex Solutions	x^4+25x^2+144=0	$x^{4} + 25 x^{2} + 144 = 0$
120145	Find All Complex Solutions	2k^2=9+3k	$2 k^{2} = 9 + 3 k$
120146	Round to the Nearest Hundredth	square root of 68.1	$\sqrt{68.1}$
120147	Round to the Nearest Hundredth	2.0625	$2.0625$
120148	Round to the Nearest Hundredth	0.9583	$0.9583$
120149	Find the Symmetry	(x+2)/(x^2+3x-10)	$\frac{x + 2}{x^{2} + 3 x - 10}$
120150	Find the 5th Term	-6 , 12 , -24	$- 6$ , $12$ , $- 24$
120151	Find the Second Term	a_n=22-9n	$a_{n} = 22 - 9 n$
120152	Determine if a Polynomial	x- square root of 11	$x - \sqrt{11}$
120153	Determine if a Polynomial	1/5y^3+y^2-9	$\frac{1}{5} y^{3} + y^{2} - 9$
120154	Find the Third Term	c(n)=4/9(-3)^(n-1)	$c (n) = \frac{4}{9} {(- 3)}^{n - 1}$
120155	Find the GCF	6a^2-8a	$6 a^{2} - 8 a$
120156	Find the GCF	15a+25b	$15 a + 25 b$
120157	Find the GCF	15n^3+20n^7	$15 n^{3} + 20 n^{7}$
120158	Find the GCF	12x^2+42x	$12 x^{2} + 42 x$
120159	Find the GCF	2x-4xyz	$2 x - 4 x y z$
120160	Find the GCF	36k-30	$36 k - 30$
120161	Find the GCF	4x+36x^2	$4 x + 36 x^{2}$
120162	Find Where Undefined/Discontinuous	(10x)/(70x^2-10x)	$\frac{10 x}{70 x^{2} - 10 x}$
120163	Find the Second Term	c(n)=4/9(-3)^(n-1)	$c (n) = \frac{4}{9} {(- 3)}^{n - 1}$
120164	Find the GCF	2x^3-5x^2+25	$2 x^{3} - 5 x^{2} + 25$
120165	Find the GCF	15y^4+5y^2-20y	$15 y^{4} + 5 y^{2} - 20 y$
120166	Find the GCF	15x^2+6x	$15 x^{2} + 6 x$
120167	Find the GCF	x^3y^2+2x-5y	$x^{3} y^{2} + 2 x - 5 y$
120168	Determine if the Expression is a Perfect Square	4b^2+40b+20	$4 b^{2} + 40 b + 20$
120169	Find the LCD	-7/x-5/(6x^2)	$\frac{- 7}{x} \frac{- 5}{6 x^{2}}$
120170	Reduce the Fraction	34/30	$\frac{34}{30}$
120171	Reduce the Fraction	58/87	$\frac{58}{87}$
120172	Reduce the Fraction	48/57	$\frac{48}{57}$
120173	Reduce the Fraction	42/18	$\frac{42}{18}$
120174	Reduce the Fraction	25/24	$\frac{25}{24}$
120175	Reduce the Fraction	54/90	$\frac{54}{90}$
120176	Reduce the Fraction	6/37	$\frac{6}{37}$
120177	Reduce the Fraction	60/84	$\frac{60}{84}$
120178	Reduce the Fraction	345/180	$\frac{345}{180}$
120179	Reduce the Fraction	6/39	$\frac{6}{39}$
120180	Find the Vertex Form	y=x^2+4x+14	$y = x^{2} + 4 x + 14$
120181	Find the Vertex Form	y=-3x^2-7x+2	$y = - 3 x^{2} - 7 x + 2$
120182	Find the Vertex Form	y=x^2+7x+9	$y = x^{2} + 7 x + 9$
120183	Complete the Square	t^2-20t	$t^{2} - 20 t$
120184	Complete the Square	v^2-6v+	$v^{2} - 6 v +$
120185	Write as a Function of x	x^2-kx+196=0	$x^{2} - k x + 196 = 0$
120186	Write as a Function of x	x^2+x=-x-3y	$x^{2} + x = - x - 3 y$
120187	Write as a Function of y	square root of xy+1=2	$\sqrt{x y + 1} = 2$
120188	Write as a Function of h	h=-16t^2+8t+80	$h = - 16 t^{2} + 8 t + 80$
120189	Write as a Function of k	x^2-kx+196=0	$x^{2} - k x + 196 = 0$
120190	Write as a Function of t	h=-16t^2+8t+80	$h = - 16 t^{2} + 8 t + 80$
120191	Convert to Set Notation	2x^2>3-5x	$2 x^{2} > 3 - 5 x$
120192	Find the Axis of Symmetry	y=-4x^2+8	$y = - 4 x^{2} + 8$
120193	Find the x and y Intercepts	(3x^2)/(x^2-16)	$\frac{3 x^{2}}{x^{2} - 16}$
120194	Find the x and y Intercepts	(x^2+2x-24)/(x-6)	$\frac{x^{2} + 2 x - 24}{x - 6}$
120195	Find the x and y Intercepts	2x^2-20x+57	$2 x^{2} - 20 x + 57$
120196	Find the x and y Intercepts	-(x+2)^2+6	$- {(x + 2)}^{2} + 6$
120197	Find the x and y Intercepts	(x+2)(x-1)^2(x+1)^2	$(x + 2) {(x - 1)}^{2} {(x + 1)}^{2}$
120198	Find the x and y Intercepts	9cos(x)	$9 \cos (x)$
120199	Identify the Zeros and Their Multiplicities	f(x)=(x-4)^2(x-2)	$f (x) = {(x - 4)}^{2} (x - 2)$
120200	Find the Vertex	y=x^2-5x-11	$y = x^{2} - 5 x - 11$