Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
131401	Combine	5x+4x-8x-2-4-5-7-8	$5 x + 4 x - 8 x - 2 - 4 - 5 - 7 - 8$
131402	Combine	square root of x^2y^3+2 square root of x^3y^4+xy square root of y	$\sqrt{x^{2} y^{3}} + 2 \sqrt{x^{3} y^{4}} + x y \sqrt{y}$
131403	Cancel the Common Factors	(x^2-3x-18)/(x^2-7x+6)	$\frac{x^{2} - 3 x - 18}{x^{2} - 7 x + 6}$
131404	Solve Using a Matrix by Elimination	2x-6y=-13-3x+4y=17	$2 x - 6 y = - 13 - 3 x + 4 y = 17$
131405	Find the Roots/Zeros Using the Rational Roots Test	p(x)=x^4-5x^3+2x^2+10x-8	$p (x) = x^{4} - 5 x^{3} + 2 x^{2} + 10 x - 8$
131406	Multiply the Matrices	[[-2,-2],[3,0]][[2,1],[-3,-1]]	$[\begin{array}{c} - 2 & - 2 \\ 3 & 0 \end{array}] [\begin{array}{c} 2 & 1 \\ - 3 & - 1 \end{array}]$
131407	Multiply the Matrices	[[1,3,-2],[4,0,3]][[3,0],[-2,1],[0,3]]	$[\begin{array}{c} 1 & 3 & - 2 \\ 4 & 0 & 3 \end{array}] [\begin{array}{c} 3 & 0 \\ - 2 & 1 \\ 0 & 3 \end{array}]$
131408	Find All Complex Number Solutions	z^4+z^3+z^2+3z-6=0	$z^{4} + z^{3} + z^{2} + 3 z - 6 = 0$
131409	Write the Fraction in Simplest Form	0.6	$0.6$
131410	Write the Fraction in Simplest Form	7/8	$\frac{7}{8}$
131411	Write the Fraction in Simplest Form	(-12+ square root of -18)/60	$\frac{- 12 + \sqrt{- 18}}{60}$
131412	Find the Center	(y^2)/9-(x^2)/25=1	$\frac{y^{2}}{9} - \frac{x^{2}}{25} = 1$
131413	Find the End Behavior	f(x)=-(x+1)^2(x-1)	$f (x) = - {(x + 1)}^{2} (x - 1)$
131414	Find the LCM	3 , 6 , 9	$3$ , $6$ , $9$
131415	Find the Midpoint	(4,-7) , (12,-1)	$(4, - 7) (12, - 1)$
131416	Find the Remainder	(x^5+x^3-1)÷(x-4)	$(x^{5} + x^{3} - 1) \div (x - 4)$
131417	Find the Remainder	(x^5+3x^3-10)/(x-1)	$\frac{x^{5} + 3 x^{3} - 10}{x - 1}$
131418	Find the Remainder	(x^3-2x^2-5)÷(x+2)	$(x^{3} - 2 x^{2} - 5) \div (x + 2)$
131419	Find the Interquartile Range (H-Spread)	20 , 21 , 14 , 21 , 21 , 12 , 18 , 23 , 20 , 23 , 12	$20$ , $21$ , $14$ , $21$ , $21$ , $12$ , $18$ , $23$ , $20$ , $23$ , $12$
131420	Write as a Function of x	f(x)=5^x	$f (x) = 5^{x}$
131421	Find the Range	f(x)=-\|x-4\|+5	$f (x) = - \| x - 4 \| + 5$
131422	Find Amplitude, Period, and Phase Shift	f(t)=2/3cos(4t+3pi)	$f (t) = \frac{2}{3} \cos (4 t + 3 π)$
131423	Find Amplitude, Period, and Phase Shift	f(x)=5tan(1/3x+pi/2)	$f (x) = 5 \tan (\frac{1}{3} x + \frac{π}{2})$
131424	Find the Degree, Leading Term, and Leading Coefficient	4x^2+3x^9-6x^3+5x-8	$4 x^{2} + 3 x^{9} - 6 x^{3} + 5 x - 8$
131425	Find the Degree, Leading Term, and Leading Coefficient	5x^3+4x-2	$5 x^{3} + 4 x - 2$
131426	Find the Degree, Leading Term, and Leading Coefficient	x^4	$x^{4}$
131427	Determine the Nature of the Roots Using the Discriminant	16x^2-16x+4=0	$16 x^{2} - 16 x + 4 = 0$
131428	Determine the Nature of the Roots Using the Discriminant	4x^2+16x+16=0	$4 x^{2} + 16 x + 16 = 0$
131429	Determine the Nature of the Roots Using the Discriminant	-2x^2+9x-4=0	$- 2 x^{2} + 9 x - 4 = 0$
131430	Determine the Nature of the Roots Using the Discriminant	4x^2-8x+3=0	$4 x^{2} - 8 x + 3 = 0$
131431	Round to the Nearest Tenth	3.75	$3.75$
131432	Round to the Nearest Tenth	11.25	$11.25$
131433	Round to the Nearest Tenth	16.6	$16.6$
131434	Round to the Nearest Tenth	0.125	$0.125$
131435	Solve by Addition/Elimination	10x-14y=1615x-21y=24	$10 x - 14 y = 1615 x - 21 y = 24$
131436	Solve by Addition/Elimination	x-y-z=0x+y-z=0x-y+z=2	$x - y - z = 0 x + y - z = 0 x - y + z = 2$
131437	Solve by Addition/Elimination	-5x-21=-7y-2x-3y=-38	$- 5 x - 21 = - 7 y - 2 x - 3 y = - 38$
131438	Round to the Nearest Hundredth	452.16	$452.16$
131439	Determine if Dependent, Independent, or Inconsistent	5x+y=-197x-3y=-53	$5 x + y = - 197 x - 3 y = - 53$
131440	Find the Median	13 , 30 , 16 , 19 , 20 , 22 , 25 , 31	$13$ , $30$ , $16$ , $19$ , $20$ , $22$ , $25$ , $31$
131441	Find the Determinant	[[9,10],[0,-3]]	$[\begin{array}{c} 9 & 10 \\ 0 & - 3 \end{array}]$
131442	Find Any Equation Parallel to the Line	y=2x-6	$y = 2 x - 6$
131443	Reduce	(y^2-2y+1)/(2y-3)	$\frac{y^{2} - 2 y + 1}{2 y - 3}$
131444	Find the GCF	10p^2q , 15p^2q^3 , 5pq^2	$10 p^{2} q$ , $15 p^{2} q^{3}$ , $5 p q^{2}$
131445	Round to the Nearest Thousandth	0.6	$0.6$
131446	Determine if Linear	xy=4	$x y = 4$
131447	Find the Symmetry	f(x)=(3x)/(x^2-4)	$f (x) = \frac{3 x}{x^{2} - 4}$
131448	Determine if Linear	y=7x+1	$y = 7 x + 1$
131449	Determine if Linear	y=9x	$y = 9 x$
131450	Determine if Linear	y=9	$y = 9$
131451	Find the Variance	35 , 37 , 42 , 57 , 61 , 70	$35$ , $37$ , $42$ , $57$ , $61$ , $70$
131452	Convert to Rectangular	2(cos((3pi)/4)+isin((3pi)/4))	$2 (\cos (\frac{3 π}{4}) + i \sin (\frac{3 π}{4}))$
131453	Convert to Rectangular	6(cos((5pi)/3)+isin((5pi)/3))	$6 (\cos (\frac{5 π}{3}) + i \sin (\frac{5 π}{3}))$
131454	Solve for x	-8<=(-3x+1)/4<=14	$- 8 \leq \frac{- 3 x + 1}{4} \leq 14$
131455	Solve for x	9<=3x-9<=36	$9 \leq 3 x - 9 \leq 36$
131456	Find the Standard Form of the Parabola	y^2-6y+12x+9=0	$y^{2} - 6 y + 12 x + 9 = 0$
131457	Factor over the Complex Numbers	x^3+125	$x^{3} + 125$
131458	Factor over the Complex Numbers	2x^2+18	$2 x^{2} + 18$
131459	Find the Inverse	[[0,1,1],[1,4,2],[3,3,4]]	$[\begin{array}{c} 0 & 1 & 1 \\ 1 & 4 & 2 \\ 3 & 3 & 4 \end{array}]$
131460	Factor over the Complex Numbers	x^2+18	$x^{2} + 18$
131461	Find the Derivative - d/d@VAR	f(x)=2x^2+5 square root of x-2	$f (x) = 2 x^{2} + 5 \sqrt{x - 2}$
131462	Identify the Conic	x^2+4y^2+6x+16y+9=0	$x^{2} + 4 y^{2} + 6 x + 16 y + 9 = 0$
131463	Identify the Conic	9x^2+4y^2+36x=0	$9 x^{2} + 4 y^{2} + 36 x = 0$
131464	Find the Upper or Third Quartile	67 , 57 , 52 , 51 , 64 , 58 , 67 , 58 , 55 , 59 , 66 , 50 , 57 , 62 , 58 , 50 , 58 , 50 , 60 , 63	$67$ , $57$ , $52$ , $51$ , $64$ , $58$ , $67$ , $58$ , $55$ , $59$ , $66$ , $50$ , $57$ , $62$ , $58$ , $50$ , $58$ , $50$ , $60$ , $63$
131465	Find the Domain and Range	(-6,-4)	$(- 6, - 4)$
131466	Evaluate Using the Given Value	f(0)=10^0	$f (0) = 10^{0}$
131467	Find the Degree	150	$150$
131468	Find the Degree	9x^3y^6	$9 x^{3} y^{6}$
131469	Find the Degree	6x	$6 x$
131470	Find the Quadratic Equation	-8 , 2	$- 8$ , $2$
131471	Find the Quadratic Equation	(0,-10)	$(0, - 10)$
131472	Find the GCF	14x^2-12x	$14 x^{2} - 12 x$
131473	Determine the Type of Number	15	$15$
131474	Determine the Type of Number	cube root of -64	$\sqrt[3]{- 64}$
131475	Determine the Type of Number	fourth root of -16	$\sqrt[4]{- 16}$
131476	Determine the Type of Number	12/3	$\frac{12}{3}$
131477	Determine the Type of Number	-1/2	$- \frac{1}{2}$
131478	Find the Interquartile Range (H-Spread)	24 , 36 , 42 , 57 , 65	$24$ , $36$ , $42$ , $57$ , $65$
131479	Find the Interquartile Range (H-Spread)	9 , 30 , 2 , 48 , 42 , 18 , 81 , 5 , 71 , 73 , 11	$9$ , $30$ , $2$ , $48$ , $42$ , $18$ , $81$ , $5$ , $71$ , $73$ , $11$
131480	Find the Remainder	(-12x^5-2x^3-9x)/(3x^4+x^2+1)	$\frac{- 12 x^{5} - 2 x^{3} - 9 x}{3 x^{4} + x^{2} + 1}$
131481	Find the Remainder	(x^5-32)/(x-2)	$\frac{x^{5} - 32}{x - 2}$
131482	Find the Remainder	(-18x^2-6x+12)/(3x^3+9x-1)	$\frac{- 18 x^{2} - 6 x + 12}{3 x^{3} + 9 x - 1}$
131483	Solve Using a Matrix by Elimination	x+3y+2z=114y+9z=-12x+7y+11z=-1	$x + 3 y + 2 z = 114 y + 9 z = - 12 x + 7 y + 11 z = - 1$
131484	Combine	7x+3x-x	$7 x + 3 x - x$
131485	Solve for j	-2/11j<=8	$- \frac{2}{11} j \leq 8$
131486	Solve for I	L=10 log of I/I_0	$L = 10 \log (\frac{I}{I_{0}})$
131487	Solve for m2	F=(Gm_1m_2)/(s^2)	$F = \frac{G m_{1} m_{2}}{s^{2}}$
131488	Find the Equation Given the Roots	5i	$5 i$
131489	Identify the Polar Equation	r=sin(theta)	$r = \sin (θ)$
131490	Find the LCD	1/8 , 3/4	$\frac{1}{8}$ , $\frac{3}{4}$
131491	Find the LCD	x/3 , x/9	$\frac{x}{3}$ , $\frac{x}{9}$
131492	Find the LCD	6/8 , 4/32	$\frac{6}{8}$ , $\frac{4}{32}$
131493	Find the LCD	6/(x-9) , 2/(x+9)	$\frac{6}{x - 9}$ , $\frac{2}{x + 9}$
131494	Find Where Undefined/Discontinuous	f(x)=(x^3-x^2-6x)/(-3x^2-3x+18)	$f (x) = \frac{x^{3} - x^{2} - 6 x}{- 3 x^{2} - 3 x + 18}$
131495	Multiply the Matrices	[[5,4],[3,2]]*[[2,-2],[4,6]]	$[\begin{array}{c} 5 & 4 \\ 3 & 2 \end{array}] \cdot [\begin{array}{c} 2 & - 2 \\ 4 & 6 \end{array}]$
131496	Multiply the Matrices	[[0,-3],[1,2]]*[[2,3],[-1,1]]	$[\begin{array}{c} 0 & - 3 \\ 1 & 2 \end{array}] \cdot [\begin{array}{c} 2 & 3 \\ - 1 & 1 \end{array}]$
131497	Write the Fraction in Simplest Form	16/20	$\frac{16}{20}$
131498	Find the Lower or First Quartile	11 , 12 , 15 , 16 , 17 , 19 , 22 , 24 , 29 , 33 , 38	$11$ , $12$ , $15$ , $16$ , $17$ , $19$ , $22$ , $24$ , $29$ , $33$ , $38$
131499	Write the Fraction in Simplest Form	9/16	$\frac{9}{16}$
131500	Write the Fraction in Simplest Form	ninth root of 3^6	$\sqrt[9]{3^{6}}$