Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
133701	Find the Derivative Using Quotient Rule - d/dx	(x^2+13x+54)/(x+6)	$\frac{x^{2} + 13 x + 54}{x + 6}$
133702	Find a,b,c	(x-3)(x+4)=0	$(x - 3) (x + 4) = 0$
133703	Find a,b,c	(3x+4)(3x-4)=0	$(3 x + 4) (3 x - 4) = 0$
133704	Find a,b,c	2x^2-4x+5=0	$2 x^{2} - 4 x + 5 = 0$
133705	Find a,b,c	5x^2+3x+8=0	$5 x^{2} + 3 x + 8 = 0$
133706	Find a,b,c	-4x^2+4x-1=0	$- 4 x^{2} + 4 x - 1 = 0$
133707	Find the Distance Between Two Points	(6,-3) , (4,3)	$(6, - 3) (4, 3)$
133708	Find the Distance Between Two Points	(6,32) , (-8,-16)	$(6, 32) (- 8, - 16)$
133709	Find the Distance Between Two Points	(7,-4) , (-8,-5)	$(7, - 4) (- 8, - 5)$
133710	Find the Distance Between Two Points	(8,3) , (10,4)	$(8, 3) (10, 4)$
133711	Find the Distance Between Two Points	(-3,-5) , (3,-4)	$(- 3, - 5) (3, - 4)$
133712	Find the Distance Between Two Points	(4,16) , (-1,34)	$(4, 16) (- 1, 34)$
133713	Find the Distance Between Two Points	(2,-3) , (8,-9)	$(2, - 3)$ , $(8, - 9)$
133714	Find the Distance Between Two Points	(1,3) , (2,-3)	$(1, 3)$ , $(2, - 3)$
133715	Find the Distance Between Two Points	(2,12) , (8,-5)	$(2, 12) (8, - 5)$
133716	Find the Distance Between Two Points	(-2,0) , (-4,6)	$(- 2, 0) (- 4, 6)$
133717	Find the Distance Between Two Points	(0,0) , (7,7)	$(0, 0) (7, 7)$
133718	Find a,b,c	x+3x^2=8x+6	$x + 3 x^{2} = 8 x + 6$
133719	Find a,b,c	-7y^2+7y+1=0	$- 7 y^{2} + 7 y + 1 = 0$
133720	Find a,b,c	6x^2-5x-3=0	$6 x^{2} - 5 x - 3 = 0$
133721	Use the Rational Roots Test to Find All Possible Roots	6x^3+19x^2-15x-28	$6 x^{3} + 19 x^{2} - 15 x - 28$
133722	Find the Constant of Variation	y=10 x=5	$y = 10$ $x = 5$
133723	Find the Constant of Variation	y=-8 x=12	$y = - 8$ $x = 12$
133724	Use the Rational Roots Test to Find All Possible Roots	x^4-6x^3-19x^2+84x+180	$x^{4} - 6 x^{3} - 19 x^{2} + 84 x + 180$
133725	Find the Interquartile Range (H-Spread)	7 , 4 , 6 , 2 , 8 , 1 , 10 , 5 , 7 , 4 , 9 , 11 , 13	$7$ , $4$ , $6$ , $2$ , $8$ , $1$ , $10$ , $5$ , $7$ , $4$ , $9$ , $11$ , $13$
133726	Find the Interquartile Range (H-Spread)	2 , 4 , 4 , 6 , 6 , 8 , 10 , 11 , 12 , 14 , 17	$2$ , $4$ , $4$ , $6$ , $6$ , $8$ , $10$ , $11$ , $12$ , $14$ , $17$
133727	Find the Interquartile Range (H-Spread)	18 , 20 , 11 , 10 , 8 , 6 , 12 , 4	$18$ , $20$ , $11$ , $10$ , $8$ , $6$ , $12$ , $4$
133728	Determine the Possible Number of Real Roots	f(x)=11x^3+125x^2+45x+11	$f (x) = 11 x^{3} + 125 x^{2} + 45 x + 11$
133729	Find the Degree, Leading Term, and Leading Coefficient	7x^3	$7 x^{3}$
133730	Find the Degree, Leading Term, and Leading Coefficient	4x^3-5x^2+2x-1	$4 x^{3} - 5 x^{2} + 2 x - 1$
133731	Find the Degree, Leading Term, and Leading Coefficient	(2x+y)^5	${(2 x + y)}^{5}$
133732	Find the Degree, Leading Term, and Leading Coefficient	1/4x^5+8x-5x^4-19	$\frac{1}{4} x^{5} + 8 x - 5 x^{4} - 19$
133733	Find the Degree, Leading Term, and Leading Coefficient	5/7y^3+5y^2+y+1	$\frac{5}{7} y^{3} + 5 y^{2} + y + 1$
133734	Find the Degree, Leading Term, and Leading Coefficient	2x-5x^3-10x^5+9	$2 x - 5 x^{3} - 10 x^{5} + 9$
133735	Find the Degree, Leading Term, and Leading Coefficient	11x^3-6x^2+x+3	$11 x^{3} - 6 x^{2} + x + 3$
133736	Find the Degree, Leading Term, and Leading Coefficient	3x^9+4x+129	$3 x^{9} + 4 x + 129$
133737	Find the Degree, Leading Term, and Leading Coefficient	3x	$3 x$
133738	Find the Parent Function	f(x)=3\|x+2\|+4	$f (x) = 3 \| x + 2 \| + 4$
133739	Convert to Set Notation	-3<2x-5<7	$- 3 < 2 x - 5 < 7$
133740	Identify the Common Factors	-10a^7b^2	$- 10 a^{7} b^{2}$
133741	Convert to Set Notation	x/4<=9/x	$\frac{x}{4} \leq \frac{9}{x}$
133742	Find the Variance	{56,57,34,50,40,61,50,39}	${56, 57, 34, 50, 40, 61, 50, 39}$
133743	Find the Variance	82 , 44 , 67 , 52 , 120	$82$ , $44$ , $67$ , $52$ , $120$
133744	Find the Variance	88 , 100 , 67 , 62 , 59 , 91 , 80 , 60 , 60 , 73	$88$ , $100$ , $67$ , $62$ , $59$ , $91$ , $80$ , $60$ , $60$ , $73$
133745	Find the Points of Intersection	y = square root of 196-x^2y=16-x	$y = \sqrt{196 - x^{2}} y = 16 - x$
133746	Find the Points of Intersection	y<=xy>=6-x	$y \leq x y \geq 6 - x$
133747	Find the Points of Intersection	2x-7y=0x-6y=-5	$2 x - 7 y = 0 x - 6 y = - 5$
133748	Round to the Nearest Thousandth	2.80735492	$2.80735492$
133749	Find the GCF	36	$36$
133750	Find the GCF	30	$30$
133751	Find the GCF	30x^5 , 110x^7 , 60x^8	$30 x^{5}$ , $110 x^{7}$ , $60 x^{8}$
133752	Find the GCF	45 , 15	$45$ , $15$
133753	Find the GCF	29a^3c , 16b^4 , b^2c^2	$29 a^{3} c$ , $16 b^{4}$ , $b^{2} c^{2}$
133754	Find the GCF	25 , 30	$25$ , $30$
133755	Find the GCF	20 , 32 , 40	$20$ , $32$ , $40$
133756	Find the GCF	20 , 25 , 15 , 40	$20$ , $25$ , $15$ , $40$
133757	Find the GCF	245x^2 , -35x^3 , 5x^4	$245 x^{2}$ , $- 35 x^{3}$ , $5 x^{4}$
133758	Find the GCF	9 , 12	$9$ , $12$
133759	Find the GCF	6 , 9	$6$ , $9$
133760	Find the GCF	98x^2 , -14x^3 , 2x^4	$98 x^{2}$ , $- 14 x^{3}$ , $2 x^{4}$
133761	Round to the Nearest Thousandth	0.1	$0.1$
133762	Round to the Nearest Thousandth	0.125	$0.125$
133763	Find the Range	29 , 26 , 51 , 48 , 50 , 42 , 54 , 48 , 54	$29$ , $26$ , $51$ , $48$ , $50$ , $42$ , $54$ , $48$ , $54$
133764	Find the Range	26 , 40 , 38 , 36 , 42 , 40 , 40 , 36	$26$ , $40$ , $38$ , $36$ , $42$ , $40$ , $40$ , $36$
133765	Find the Range	44 , 32 , 7 , 44 , 63 , 21 , 9	$44$ , $32$ , $7$ , $44$ , $63$ , $21$ , $9$
133766	Find the Range	40 , 41 , 52 , 54 , 50 , 39 , 43 , 54	$40$ , $41$ , $52$ , $54$ , $50$ , $39$ , $43$ , $54$
133767	Find the Range	74 , 64 , 90 , 74 , 92 , 68 , 71	$74$ , $64$ , $90$ , $74$ , $92$ , $68$ , $71$
133768	Find the Range	88 , 100 , 67 , 62 , 59 , 91 , 80 , 60 , 60 , 73	$88$ , $100$ , $67$ , $62$ , $59$ , $91$ , $80$ , $60$ , $60$ , $73$
133769	Find the GCF	12 , 40 , 56 , 64	$12$ , $40$ , $56$ , $64$
133770	Find the GCF	12 , 45	$12$ , $45$
133771	Find the GCF	16 , 40	$16$ , $40$
133772	Find the Range	13 , 14 , 15 , 18 , 19 , 19 , 19 , 20	$13$ , $14$ , $15$ , $18$ , $19$ , $19$ , $19$ , $20$
133773	Solve for s4	s_4=(3(1-2^4))/(1-2)	$s_{4} = \frac{3 (1 - 2^{4})}{1 - 2}$
133774	Find Where Increasing/Decreasing	y = log of x+1-1	$y = \log (x + 1) - 1$
133775	Find Where Increasing/Decreasing	y=4^x	$y = 4^{x}$
133776	Solve for y0	y=y_0e^(-0.0001216t)	$y = y_{0} e^{- 0.0001216 t}$
133777	Solve for S5	S_5=(5500(1-1.20^5))/(1-1.20)	$S_{5} = \frac{5500 (1 - {1.2}^{5})}{1 - 1.2}$
133778	Solve for S6	S_6=(5(1-2^6))/(1-2)	$S_{6} = \frac{5 (1 - 2^{6})}{1 - 2}$
133779	Determine the Possible Number of Real Roots	x^2+9x+20=0	$x^{2} + 9 x + 20 = 0$
133780	Determine the Possible Number of Real Roots	x^2-13x+42=0	$x^{2} - 13 x + 42 = 0$
133781	Determine the Possible Number of Real Roots	x^4+2x^3-10x^2-18x+9=0	$x^{4} + 2 x^{3} - 10 x^{2} - 18 x + 9 = 0$
133782	Find the Eccentricity	5x^2+7y^2=35	$5 x^{2} + 7 y^{2} = 35$
133783	Find the Cofactor Matrix	[[1,2,3],[4,5,6],[7,8,9]]	$[\begin{array}{c} 1 & 2 & 3 \\ 4 & 5 & 6 \\ 7 & 8 & 9 \end{array}]$
133784	Solve Using the Quadratic Formula	ax^2+bx+c=0	$a x^{2} + b x + c = 0$
133785	Find the Eccentricity	4x^2+9y^2=1	$4 x^{2} + 9 y^{2} = 1$
133786	Find the Eccentricity	x^2+4y^2=16	$x^{2} + 4 y^{2} = 16$
133787	Find Any Equation Perpendicular to the Line	y=1/4x-1	$y = \frac{1}{4} x - 1$
133788	Find Any Equation Perpendicular to the Line	17x+2y=0	$17 x + 2 y = 0$
133789	Find Any Equation Perpendicular to the Line	y=9x-7	$y = 9 x - 7$
133790	Find Any Equation Perpendicular to the Line	y=x-2	$y = x - 2$
133791	Find the Local Maxima and Minima	f(x)=x(50-x)	$f (x) = x (50 - x)$
133792	Reduce	x/(x^2+4x-5)-x/(x^2-4x+3)-7/(x^2+2x-15)	$\frac{x}{x^{2} + 4 x - 5} - \frac{x}{x^{2} - 4 x + 3} - \frac{7}{x^{2} + 2 x - 15}$
133793	Find Trig Functions Using Identities	1+cos(x)^2	$1 + \cos^{2} (x)$
133794	Reduce	2-(x^2+10xy+7y^2)/(x^2+4xy+4y^2)	$2 - \frac{x^{2} + 10 x y + 7 y^{2}}{x^{2} + 4 x y + 4 y^{2}}$
133795	Reduce	(3t-9)/(t^2-9)	$\frac{3 t - 9}{t^{2} - 9}$
133796	Reduce	(3x^2y^2-6xz)/(6x^2yz)	$\frac{3 x^{2} y^{2} - 6 x z}{6 x^{2} y z}$
133797	Reduce	(9 1/2r5/2t)/(rt1/2)	$\frac{9 \frac{1}{2} r \frac{5}{2} t}{r t \frac{1}{2}}$
133798	Reduce	(5x)/(35x^2-5x)	$\frac{5 x}{35 x^{2} - 5 x}$
133799	Reduce	(2t-2)/(t^2-1)	$\frac{2 t - 2}{t^{2} - 1}$
133800	Reduce	(187+6z-z^2)/(z^2-21z+68)	$\frac{187 + 6 z - z^{2}}{z^{2} - 21 z + 68}$