Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
120101	Write in Standard Form	x^2+8-9x	$x^{2} + 8 - 9 x$
120102	Write in Standard Form	x^2+7-9x	$x^{2} + 7 - 9 x$
120103	Write in Standard Form	((3^-6)/(7^-3))^5	${(\frac{3^{- 6}}{7^{- 3}})}^{5}$
120104	Write in Standard Form	5/(8-i)	$\frac{5}{8 - i}$
120105	Write in Standard Form	(6a^3+7a^2)-(5a^3+9a^2+a)	$(6 a^{3} + 7 a^{2}) - (5 a^{3} + 9 a^{2} + a)$
120106	Write in Standard Form	(-11+i)(-11-i)	$(- 11 + i) (- 11 - i)$
120107	Combine	6x+x-9x	$6 x + x - 9 x$
120108	Solve by Factoring	2x^3-8x^2-8x+32=0	$2 x^{3} - 8 x^{2} - 8 x + 32 = 0$
120109	Solve by Factoring	m^4-625=0	$m^{4} - 625 = 0$
120110	Solve by Factoring	x^2-x-8=-3x	$x^{2} - x - 8 = - 3 x$
120111	Solve by Factoring	(x-8)^(2/3)=9	${(x - 8)}^{\frac{2}{3}} = 9$
120112	Solve by Factoring	31y+7y^2=20	$31 y + 7 y^{2} = 20$
120113	Solve by Factoring	63-63x=(8x+1)(x-1)	$63 - 63 x = (8 x + 1) (x - 1)$
120114	Solve by Factoring	2sin(x)^2+3sin(x)+1=0	$2 \sin^{2} (x) + 3 \sin (x) + 1 = 0$
120115	Solve by Factoring	x^3+5x^2-6x=0	$x^{3} + 5 x^{2} - 6 x = 0$
120116	Solve by Factoring	9x^2+21-8=0	$9 x^{2} + 21 - 8 = 0$
120117	Solve by Factoring	x^3-7x^2-49x+343=0	$x^{3} - 7 x^{2} - 49 x + 343 = 0$
120118	Solve by Factoring	12x^2-11x+2=0	$12 x^{2} - 11 x + 2 = 0$
120119	Solve by Factoring	x(15x+1)=6	$x (15 x + 1) = 6$
120120	Solve by Factoring	2x^4-48x^2=0	$2 x^{4} - 48 x^{2} = 0$
120121	Write in Standard Form	3x^5-2+6x-2x^2+x^3	$3 x^{5} - 2 + 6 x - 2 x^{2} + x^{3}$
120122	Write in Standard Form	8x^4-12x^2+11x	$8 x^{4} - 12 x^{2} + 11 x$
120123	Solve by Factoring	x^2+13x+43=1	$x^{2} + 13 x + 43 = 1$
120124	Solve by Factoring	5x^2+70x+245=0	$5 x^{2} + 70 x + 245 = 0$
120125	Combine	(sin(x))/(cos(x))+(cos(x))/(sin(x))	$\frac{\sin (x)}{\cos (x)} + \frac{\cos (x)}{\sin (x)}$
120126	Apply the Quadratic Formula	2x^2+4x+7	$2 x^{2} + 4 x + 7$
120127	Apply the Quadratic Formula	5x^2-7x-1	$5 x^{2} - 7 x - 1$
120128	Find Three Ordered Pair Solutions	7x+3y=2	$7 x + 3 y = 2$
120129	Find Three Ordered Pair Solutions	3x-5y=-13	$3 x - 5 y = - 13$
120130	Find Three Ordered Pair Solutions	5x-3y=7	$5 x - 3 y = 7$
120131	Divide Using Synthetic Division	(x^3-2x^2-5x+6)/(x-1)	$\frac{(x^{3} - 2 x^{2} - 5 x + 6)}{(x - 1)}$
120132	Divide Using Synthetic Division	(4x^2+x-18)÷(x-2)	$(4 x^{2} + x - 18) \div (x - 2)$
120133	Divide Using Synthetic Division	(x^4+8x^3+12x^2-14x+5)/(x+5)	$\frac{x^{4} + 8 x^{3} + 12 x^{2} - 14 x + 5}{x + 5}$
120134	Divide Using Synthetic Division	(1/5x^3-4/25x^2+4/125x-1/625)/(x-1/5)	$\frac{\frac{1}{5} x^{3} - \frac{4}{25} x^{2} + \frac{4}{125} x - \frac{1}{625}}{x - \frac{1}{5}}$
120135	Divide Using Synthetic Division	(x^3-2x^2-23x+60)/(x-4)	$\frac{x^{3} - 2 x^{2} - 23 x + 60}{x - 4}$
120136	Divide Using Synthetic Division	(2x^3+11x^2-5x+6)/(x+6)	$\frac{2 x^{3} + 11 x^{2} - 5 x + 6}{x + 6}$
120137	Divide Using Synthetic Division	(x^4-256)/(x-4)	$\frac{x^{4} - 256}{x - 4}$
120138	Solve by Completing the Square	-x^2+8x-6=0	$- x^{2} + 8 x - 6 = 0$
120139	Solve by Completing the Square	x^2+20x+91=0	$x^{2} + 20 x + 91 = 0$
120140	Solve by Completing the Square	5x^2-3x=25	$5 x^{2} - 3 x = 25$
120141	Solve by Completing the Square	4x^2-40x-12=0	$4 x^{2} - 40 x - 12 = 0$
120142	Solve by Completing the Square	x^2-4x=11	$x^{2} - 4 x = 11$
120143	Solve by Completing the Square	x^2-8x=1	$x^{2} - 8 x = 1$
120144	Solve by Completing the Square	x^2-12x+8=0	$x^{2} - 12 x + 8 = 0$
120145	Solve by Completing the Square	x^2-12x=9	$x^{2} - 12 x = 9$
120146	Solve by Completing the Square	2x^2+16x=-18	$2 x^{2} + 16 x = - 18$
120147	Solve by Completing the Square	121x^2-110x=4	$121 x^{2} - 110 x = 4$
120148	Solve by Completing the Square	3x^2-2x-2=4	$3 x^{2} - 2 x - 2 = 4$
120149	Solve by Completing the Square	3x^2-12x-6=0	$3 x^{2} - 12 x - 6 = 0$
120150	Solve by Completing the Square	3x^2+18x+6=0	$3 x^{2} + 18 x + 6 = 0$
120151	Solve by Completing the Square	x^2-2x+25=0	$x^{2} - 2 x + 25 = 0$
120152	Solve by Completing the Square	2x^2+12x-16=0	$2 x^{2} + 12 x - 16 = 0$
120153	Find the Constant of Variation	-12x=6y	$- 12 x = 6 y$
120154	Round to the Nearest Hundredth	0.772	$0.772$
120155	Round to the Nearest Hundredth	2.4375	$2.4375$
120156	Find All Complex Solutions	cos(x)^2+2cos(x)+1=0	$\cos^{2} (x) + 2 \cos (x) + 1 = 0$
120157	Find All Complex Solutions	2sin(x)^2+sin(x)-1=0	$2 \sin^{2} (x) + \sin (x) - 1 = 0$
120158	Find All Complex Solutions	x^7+128=0	$x^{7} + 128 = 0$
120159	Find All Complex Solutions	x^4+25x^2+144=0	$x^{4} + 25 x^{2} + 144 = 0$
120160	Find All Complex Solutions	2k^2=9+3k	$2 k^{2} = 9 + 3 k$
120161	Round to the Nearest Hundredth	square root of 68.1	$\sqrt{68.1}$
120162	Round to the Nearest Hundredth	2.0625	$2.0625$
120163	Round to the Nearest Hundredth	0.9583	$0.9583$
120164	Find the Symmetry	(x+2)/(x^2+3x-10)	$\frac{x + 2}{x^{2} + 3 x - 10}$
120165	Find the 5th Term	-6 , 12 , -24	$- 6$ , $12$ , $- 24$
120166	Find the Second Term	a_n=22-9n	$a_{n} = 22 - 9 n$
120167	Determine if a Polynomial	x- square root of 11	$x - \sqrt{11}$
120168	Determine if a Polynomial	1/5y^3+y^2-9	$\frac{1}{5} y^{3} + y^{2} - 9$
120169	Find the Third Term	c(n)=4/9(-3)^(n-1)	$c (n) = \frac{4}{9} {(- 3)}^{n - 1}$
120170	Find the GCF	6a^2-8a	$6 a^{2} - 8 a$
120171	Find the GCF	15a+25b	$15 a + 25 b$
120172	Find the GCF	15n^3+20n^7	$15 n^{3} + 20 n^{7}$
120173	Find the GCF	12x^2+42x	$12 x^{2} + 42 x$
120174	Find the GCF	2x-4xyz	$2 x - 4 x y z$
120175	Find the GCF	36k-30	$36 k - 30$
120176	Find the GCF	4x+36x^2	$4 x + 36 x^{2}$
120177	Find Where Undefined/Discontinuous	(10x)/(70x^2-10x)	$\frac{10 x}{70 x^{2} - 10 x}$
120178	Find the Second Term	c(n)=4/9(-3)^(n-1)	$c (n) = \frac{4}{9} {(- 3)}^{n - 1}$
120179	Find the GCF	2x^3-5x^2+25	$2 x^{3} - 5 x^{2} + 25$
120180	Find the GCF	15y^4+5y^2-20y	$15 y^{4} + 5 y^{2} - 20 y$
120181	Find the GCF	15x^2+6x	$15 x^{2} + 6 x$
120182	Find the GCF	x^3y^2+2x-5y	$x^{3} y^{2} + 2 x - 5 y$
120183	Determine if the Expression is a Perfect Square	4b^2+40b+20	$4 b^{2} + 40 b + 20$
120184	Find the LCD	-7/x-5/(6x^2)	$\frac{- 7}{x} \frac{- 5}{6 x^{2}}$
120185	Reduce the Fraction	34/30	$\frac{34}{30}$
120186	Reduce the Fraction	58/87	$\frac{58}{87}$
120187	Reduce the Fraction	48/57	$\frac{48}{57}$
120188	Reduce the Fraction	42/18	$\frac{42}{18}$
120189	Reduce the Fraction	25/24	$\frac{25}{24}$
120190	Reduce the Fraction	54/90	$\frac{54}{90}$
120191	Reduce the Fraction	6/37	$\frac{6}{37}$
120192	Reduce the Fraction	60/84	$\frac{60}{84}$
120193	Reduce the Fraction	345/180	$\frac{345}{180}$
120194	Reduce the Fraction	6/39	$\frac{6}{39}$
120195	Find the Vertex Form	y=x^2+4x+14	$y = x^{2} + 4 x + 14$
120196	Find the Vertex Form	y=-3x^2-7x+2	$y = - 3 x^{2} - 7 x + 2$
120197	Find the Vertex Form	y=x^2+7x+9	$y = x^{2} + 7 x + 9$
120198	Complete the Square	t^2-20t	$t^{2} - 20 t$
120199	Complete the Square	v^2-6v+	$v^{2} - 6 v +$
120200	Write as a Function of x	x^2-kx+196=0	$x^{2} - k x + 196 = 0$