Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
132401	Find the Equation Given the Roots	5 , 1 , -3	$5$ , $1$ , $- 3$
132402	Subtract the Matrices	[[-2,7,-3],[1,-6,0]]-[[-5,4],[-8,2]]	$[\begin{array}{c} - 2 & 7 & - 3 \\ 1 & - 6 & 0 \end{array}] - [\begin{array}{c} - 5 & 4 \\ - 8 & 2 \end{array}]$
132403	Find the Trig Value	cos(pi/3)	$\cos (\frac{π}{3})$
132404	Find the Local Maxima and Minima	h(t)=104t-16t^2	$h (t) = 104 t - 16 t^{2}$
132405	Find the Local Maxima and Minima	h(t)=40t-16t^2	$h (t) = 40 t - 16 t^{2}$
132406	Find Any Equation Perpendicular to the Line	y=7x-3	$y = 7 x - 3$
132407	Determine if a Polynomial	f(x)=3x^( square root of 7)-x^2+4	$f (x) = 3 x^{\sqrt{7}} - x^{2} + 4$
132408	Determine if a Polynomial	2p^4+p^3	$2 p^{4} + p^{3}$
132409	Find the Third Term	a_n=n-4	$a_{n} = n - 4$
132410	Find the Third Term	d(n)=8-6(n-1)	$d (n) = 8 - 6 (n - 1)$
132411	Find the Second Term	c(n)=-6+5(n-1)	$c (n) = - 6 + 5 (n - 1)$
132412	Find the Second Term	a_n=n-5	$a_{n} = n - 5$
132413	Find the Second Term	a_n=4n-7	$a_{n} = 4 n - 7$
132414	Find the Fourth Term	2 , -10 , 50 ,	$2$ , $- 10$ , $50$ ,
132415	Find the Fourth Term	54 , 36 , 24 ,	$54$ , $36$ , $24$ ,
132416	Find the Fourth Term	-625 , -125 , -25	$- 625$ , $- 125$ , $- 25$
132417	Find the GCF	15y^3	$15 y^{3}$
132418	Find the GCF	12x-36	$12 x - 36$
132419	Find the GCF	12x^20+27x^5	$12 x^{20} + 27 x^{5}$
132420	Find the GCF	3g^8+3g^7	$3 g^{8} + 3 g^{7}$
132421	Find the GCF	18x^2-50y^2	$18 x^{2} - 50 y^{2}$
132422	Find the GCF	18xy	$18 x y$
132423	Find the GCF	2x^3a+2x^2a^2	$2 x^{3} a + 2 x^{2} a^{2}$
132424	Find the LCD	4/x , 8/(x+5)	$\frac{4}{x}$ , $\frac{8}{x + 5}$
132425	Find the LCD	1/2 , 3/8 , 1/6	$\frac{1}{2}$ , $\frac{3}{8}$ , $\frac{1}{6}$
132426	Find the LCD	2g , 1/g	$2 g$ , $\frac{1}{g}$
132427	Find the LCD	(5x)/2 , 20/(x+4) , 10/(x-4)	$\frac{5 x}{2}$ , $\frac{20}{x + 4}$ , $\frac{10}{x - 4}$
132428	Find the LCD	5/(x+4) , 7/(x-4)	$\frac{5}{x + 4}$ , $\frac{7}{x - 4}$
132429	Find the Constant of Variation	2y=4x	$2 y = 4 x$
132430	Convert from Interval to Inequality	(0,3) union (3,9) union (9,100]	$(0, 3) \cup (3, 9) \cup (9, 100]$
132431	Find the Constant of Variation	x=9/y	$x = \frac{9}{y}$
132432	Find the Standard Form of the Parabola	y^2-6y+8x+9=0	$y^{2} - 6 y + 8 x + 9 = 0$
132433	Find the Standard Form of the Parabola	y=1/8x^2	$y = \frac{1}{8} x^{2}$
132434	Find the Standard Form of the Parabola	y=(x+3)^2+1	$y = {(x + 3)}^{2} + 1$
132435	Find the Standard Form of the Parabola	x^2-8x-y+19=0	$x^{2} - 8 x - y + 19 = 0$
132436	Find the Standard Form of the Parabola	x^2-4x-y-1=0	$x^{2} - 4 x - y - 1 = 0$
132437	Find the Standard Form of the Parabola	x^2+8x-4y+8=0	$x^{2} + 8 x - 4 y + 8 = 0$
132438	Find the Standard Form of the Parabola	x=(y-4)^2+27	$x = {(y - 4)}^{2} + 27$
132439	Find the Standard Form of the Parabola	2x^2-8x-3y+11=0	$2 x^{2} - 8 x - 3 y + 11 = 0$
132440	Find the Standard Form of the Parabola	f(x)=-5x^2-6-4x	$f (x) = - 5 x^{2} - 6 - 4 x$
132441	Find the Standard Form of the Parabola	x^2+14x-16y+17=0	$x^{2} + 14 x - 16 y + 17 = 0$
132442	Solve for a	2<2a-3(1-a)<10	$2 < 2 a - 3 (1 - a) < 10$
132443	Solve for a	-8<=3a+1<=4	$- 8 \leq 3 a + 1 \leq 4$
132444	Solve for x	-1<9+x<17	$- 1 < 9 + x < 17$
132445	Solve for x	-8<=-2x-4<=12	$- 8 \leq - 2 x - 4 \leq 12$
132446	Solve for x	7>x+2>16	$7 > x + 2 > 16$
132447	Solve for x	f(x)>16	$f (x) > 16$
132448	Find the Symmetry	y=x^3+x	$y = x^{3} + x$
132449	Find the Behavior (Leading Coefficient Test)	f(x)=24x^3-x^2*1+3x^1+9	$f (x) = 24 x^{3} - x^{2} \cdot 1 + 3 x^{1} + 9$
132450	Find the Symmetry	y=9-x^2	$y = 9 - x^{2}$
132451	Find the Symmetry	y=\|x\|-6	$y = \| x \| - 6$
132452	Find the Symmetry	y=x^2-1	$y = x^{2} - 1$
132453	Find the Symmetry	x^2+y^2=1	$x^{2} + y^{2} = 1$
132454	Find the Symmetry	x^2+y^2=10	$x^{2} + y^{2} = 10$
132455	Find the Symmetry	x^2+y^2=17	$x^{2} + y^{2} = 17$
132456	Find the Symmetry	x^2+36y^2=36	$x^{2} + 36 y^{2} = 36$
132457	Write as a Function of b	6p^2+bp+6=0	$6 p^{2} + b p + 6 = 0$
132458	Write as a Function of r	10q-3r=14	$10 q - 3 r = 14$
132459	Write as a Function of y	4x^2+25y^2=100	$4 x^{2} + 25 y^{2} = 100$
132460	Write as a Function of x	x=8	$x = 8$
132461	Write as a Function of z	z=4.1i+85	$z = 4.1 i + 85$
132462	Convert to Set Notation	[3,6]	$[3, 6]$
132463	Evaluate Using Scientific Notation	(6.3210^-12)(9.510^-5)	$(6.32 \cdot 10^{- 12}) (9.5 \cdot 10^{- 5})$
132464	Evaluate Using Scientific Notation	(7.510^-3)+(5.810^-3)	$(7.5 \cdot 10^{- 3}) + (5.8 \cdot 10^{- 3})$
132465	Evaluate Using Scientific Notation	(5.910^-4)-(1.810^-4)	$(5.9 \cdot 10^{- 4}) - (1.8 \cdot 10^{- 4})$
132466	Evaluate Using Scientific Notation	(3.810^-5)÷8.110^3	$3.8 \cdot 10^{- 5} \div 8.1 \cdot 10^{3}$
132467	Evaluate Using Scientific Notation	(9.3210^-3)(9.310^-6)	$(9.32 \cdot 10^{- 3}) (9.3 \cdot 10^{- 6})$
132468	Evaluate Using Scientific Notation	7.910^7+6.510^6	$7.9 \cdot 10^{7} + 6.5 \cdot 10^{6}$
132469	Convert to Set Notation	x-7>-2	$x - 7 > - 2$
132470	Multiply the Matrices	4[[2,-4],[5,-1]]	$4 [\begin{array}{c} 2 & - 4 \\ 5 & - 1 \end{array}]$
132471	Multiply the Matrices	[[9,-8],[-10,9]][[9,8],[10,9]]	$[\begin{array}{c} 9 & - 8 \\ - 10 & 9 \end{array}] [\begin{array}{c} 9 & 8 \\ 10 & 9 \end{array}]$
132472	Multiply the Matrices	[[-1,-3],[0,2]][[-1,-3],[0,2]]	$[\begin{array}{c} - 1 & - 3 \\ 0 & 2 \end{array}] [\begin{array}{c} - 1 & - 3 \\ 0 & 2 \end{array}]$
132473	Use the Rational Roots Test to Find All Possible Roots	x^3-7x^2-4x+28	$x^{3} - 7 x^{2} - 4 x + 28$
132474	Find the Interquartile Range (H-Spread)	22 , 19 , 16 , 19 , 23 , 20 , 20 , 21 , 22 , 21 , 14	$22$ , $19$ , $16$ , $19$ , $23$ , $20$ , $20$ , $21$ , $22$ , $21$ , $14$
132475	Find the Interquartile Range (H-Spread)	32 , 34 , 35 , 35 , 39 , 40 , 44 , 47	$32$ , $34$ , $35$ , $35$ , $39$ , $40$ , $44$ , $47$
132476	Find the Interquartile Range (H-Spread)	13 , 14 , 15 , 18 , 19 , 19 , 19 , 20	$13$ , $14$ , $15$ , $18$ , $19$ , $19$ , $19$ , $20$
132477	Find the Remainder	(-x^3+2x^2+5x-8)/(x-2)	$\frac{- x^{3} + 2 x^{2} + 5 x - 8}{x - 2}$
132478	Find the Remainder	(y^4-y^3+2y^2+y-1)÷(y^3+1)	$(y^{4} - y^{3} + 2 y^{2} + y - 1) \div (y^{3} + 1)$
132479	Find the Remainder	(x^5-15x^4+90x^3-270^2+405x-243)÷(x-3)	$(x^{5} - 15 x^{4} + 90 x^{3} - 270^{2} + 405 x - 243) \div (x - 3)$
132480	Find the Remainder	(6x^3+2x^2+22x)/(2x^2+1)	$\frac{6 x^{3} + 2 x^{2} + 22 x}{2 x^{2} + 1}$
132481	Find Amplitude, Period, and Phase Shift	f(t)=120cos(pi/4(t-3))+30	$f (t) = 120 \cos (\frac{π}{4} (t - 3)) + 30$
132482	Solve for a1	a_1=2(4)^(1-1)	$a_{1} = 2 {(4)}^{1 - 1}$
132483	Solve for I	P=I^2R	$P = I^{2} R$
132484	Solve for t2	p_1/t_1=p_2/t_2	$\frac{p_{1}}{t_{1}} = \frac{p_{2}}{t_{2}}$
132485	Determine the Possible Number of Real Roots	x^3-3x^2-4x+12=0	$x^{3} - 3 x^{2} - 4 x + 12 = 0$
132486	Determine the Possible Number of Real Roots	x^3-4x^2-7x+28=0	$x^{3} - 4 x^{2} - 7 x + 28 = 0$
132487	Determine the Possible Number of Real Roots	x^3-2x^2-25x+50=0	$x^{3} - 2 x^{2} - 25 x + 50 = 0$
132488	Determine the Possible Number of Real Roots	-3x^2+7x-3=0	$- 3 x^{2} + 7 x - 3 = 0$
132489	Determine the Possible Number of Real Roots	-5x^2+9x-1=0	$- 5 x^{2} + 9 x - 1 = 0$
132490	Determine the Possible Number of Real Roots	-5x^2+8x-1=0	$- 5 x^{2} + 8 x - 1 = 0$
132491	Determine the Possible Number of Real Roots	x^2-18=0	$x^{2} - 18 = 0$
132492	Split Using Partial Fraction Decomposition	(4x^2+13x-9)/(x(x-1)(x+3))	$\frac{4 x^{2} + 13 x - 9}{x (x - 1) (x + 3)}$
132493	Split Using Partial Fraction Decomposition	(x^4+2x^3+6x^2+20x+6)/(x^3+2x^2+x)	$\frac{x^{4} + 2 x^{3} + 6 x^{2} + 20 x + 6}{x^{3} + 2 x^{2} + x}$
132494	Split Using Partial Fraction Decomposition	(3x+5)/((x-3)(x+1))	$\frac{3 x + 5}{(x - 3) (x + 1)}$
132495	Split Using Partial Fraction Decomposition	(2x^5+7x^4-5x^3-4x^2+x)/(2x^2+9x+4)	$\frac{2 x^{5} + 7 x^{4} - 5 x^{3} - 4 x^{2} + x}{2 x^{2} + 9 x + 4}$
132496	Split Using Partial Fraction Decomposition	(11x^2+21x+34)/((x+4)(x^2+5))	$\frac{11 x^{2} + 21 x + 34}{(x + 4) (x^{2} + 5)}$
132497	Determine if Linear	y=2x-4	$y = 2 x - 4$
132498	Determine if Linear	y=6/x	$y = \frac{6}{x}$
132499	Determine if Linear	y=(x+1)(6x-6)-6x^2	$y = (x + 1) (6 x - 6) - 6 x^{2}$
132500	Determine if Linear	y=2x-1	$y = 2 x - 1$