Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
50301	Convert to Interval Notation	x<=-1	$x \leq - 1$
50302	Find Three Ordered Pair Solutions	2x-y=9	$2 x - y = 9$
50303	Convert from Interval to Inequality	[0,6]	$[0, 6]$
50304	Solve for y	y=8	$y = 8$
50305	Find the Vertex Form	y=6x^2+12x-10	$y = 6 x^{2} + 12 x - 10$
50306	Convert from Interval to Inequality	(7,9]	$(7, 9]$
50307	Graph	y=(1/2)\|x+2/3\|+7	$y = (\frac{1}{2}) \| x + \frac{2}{3} \| + 7$
50308	Simplify	(x^2-1)(x^2+1)	$(x^{2} - 1) (x^{2} + 1)$
50309	Simplify	(x^(1/2)+y^(1/2))(x^(1/2)-y^(1/2))	$(x^{\frac{1}{2}} + y^{\frac{1}{2}}) (x^{\frac{1}{2}} - y^{\frac{1}{2}})$
50310	Simplify	(x^(4/7))/(x^(2/3))	$\frac{x^{\frac{4}{7}}}{x^{\frac{2}{3}}}$
50311	Simplify	1-2i+(-2-i)	$1 - 2 i + (- 2 - i)$
50312	Convert from Interval to Inequality	[-1,4)	$[- 1, 4)$
50313	Simplify	(15q^6+5q^2)(5q^4)^-1	$(15 q^{6} + 5 q^{2}) {(5 q^{4})}^{- 1}$
50314	Simplify	-1-6i+(-3+3i)	$- 1 - 6 i + (- 3 + 3 i)$
50315	Simplify	(17x^-9y^9)(-9xy^9)	$(17 x^{- 9} y^{9}) (- 9 x y^{9})$
50316	Convert from Interval to Inequality	(negative infinity,0]	$(- \infty, 0]$
50317	Simplify	(y^4z^2)(y^-3z^-5)	$(y^{4} z^{2}) (y^{- 3} z^{- 5})$
50318	Convert from Interval to Inequality	(negative infinity,-2) union (-2,infinity)	$(- \infty, - 2) \cup (- 2, \infty)$
50319	Simplify	(2-3x)(3x^2-2x-1)	$(2 - 3 x) (3 x^{2} - 2 x - 1)$
50320	Simplify	(2-3i)-(5+4i)	$(2 - 3 i) - (5 + 4 i)$
50321	Simplify	(2x+2)(2x-2)	$(2 x + 2) (2 x - 2)$
50322	Convert to Rectangular Coordinates	(3,3/2pi)	$(3, \frac{3}{2} π)$
50323	Convert to Rectangular Coordinates	(-2,270)	$(- 2, 270)$
50324	Simplify	(2w+5)(2w-5)	$(2 w + 5) (2 w - 5)$
50325	Find the Constant of Variation	-4y=8x	$- 4 y = 8 x$
50326	Simplify	(-2i)(-6i)(4i)	$(- 2 i) (- 6 i) (4 i)$
50327	Find the Constant of Variation	4y=5x	$4 y = 5 x$
50328	Simplify	2-i+(-2+i)	$2 - i + (- 2 + i)$
50329	Find the Constant of Variation	5y=15x	$5 y = 15 x$
50330	Simplify	(2x^2+xy-y)(y^2+3x)	$(2 x^{2} + x y - y) (y^{2} + 3 x)$
50331	Find the Constant of Variation	5y=25x	$5 y = 25 x$
50332	Simplify	(5+2i)(1+3i)	$(5 + 2 i) (1 + 3 i)$
50333	Find the Constant of Variation	6y=12x	$6 y = 12 x$
50334	Simplify	(5+3i)(2-i)	$(5 + 3 i) (2 - i)$
50335	Find the Constant of Variation	2y=8x	$2 y = 8 x$
50336	Simplify	(4x-6)(4x+6)	$(4 x - 6) (4 x + 6)$
50337	Simplify	-4-8i+(8+4i)	$- 4 - 8 i + (8 + 4 i)$
50338	Simplify	(4-10i)-(5-7i)	$(4 - 10 i) - (5 - 7 i)$
50339	Verify the Identity	(1-2sin(x)^2)csc(x)^2=4cos(x)^2-2	$(1 - 2 \sin^{2} (x)) \csc^{2} (x) = 4 \cos^{2} (x) - 2$
50340	Simplify	(4x-1)(2x+5)	$(4 x - 1) (2 x + 5)$
50341	Simplify	(-5+3i)*(1-2i)	$(- 5 + 3 i) \cdot (1 - 2 i)$
50342	Simplify	(-5+4i)(3+i)	$(- 5 + 4 i) (3 + i)$
50343	Simplify	(5x-4)(5x-4)	$(5 x - 4) (5 x - 4)$
50344	Simplify	(2x-5)(3x+2)	$(2 x - 5) (3 x + 2)$
50345	Simplify	(2x-5)(x+4)	$(2 x - 5) (x + 4)$
50346	Find the Inverse	[[1,0,1],[1,1,-9],[0,1,-9]]	$[\begin{array}{c} 1 & 0 & 1 \\ 1 & 1 & - 9 \\ 0 & 1 & - 9 \end{array}]$
50347	Simplify	(2x-6)(2x+6)	$(2 x - 6) (2 x + 6)$
50348	Simplify	(2x-1)(x-3)	$(2 x - 1) (x - 3)$
50349	Simplify	(3a^3b^3)(4ab^2)^2	$(3 a^{3} b^{3}) {(4 a b^{2})}^{2}$
50350	Solve for x	9x-1=-11	$9 x - 1 = - 11$
50351	Simplify	(3+8i)-(-2+i)	$(3 + 8 i) - (- 2 + i)$
50352	Find the Inverse	[[-2,3],[-3,4]]	$[\begin{array}{c} - 2 & 3 \\ - 3 & 4 \end{array}]$
50353	Simplify	(3xy^3)(2x^3y)	$(3 x y^{3}) (2 x^{3} y)$
50354	Simplify	(3x-6)(3x+6)	$(3 x - 6) (3 x + 6)$
50355	Simplify	(3x+1)(2x-5)	$(3 x + 1) (2 x - 5)$
50356	Simplify	(3x+2)(x+7)	$(3 x + 2) (x + 7)$
50357	Simplify	14 cube root of xy-3 cube root of xy	$14 \sqrt[3]{x y} - 3 \sqrt[3]{x y}$
50358	Simplify	xy^-2	$x y^{- 2}$
50359	Simplify	y^4*y^6	$y^{4} \cdot y^{6}$
50360	Find the Inverse	A=[[1,2],[1,3]]	$A = [\begin{array}{c} 1 & 2 \\ 1 & 3 \end{array}]$
50361	Simplify	x^5(2x)^3	$x^{5} {(2 x)}^{3}$
50362	Simplify	(x+2)/(x^2-4x+4)	$\frac{x + 2}{x^{2} - 4 x + 4}$
50363	Find the Inverse	[[3,2],[2,1]]	$[\begin{array}{c} 3 & 2 \\ 2 & 1 \end{array}]$
50364	Simplify	(x-2)/(x-3)*(2x-6)/(x+5)	$\frac{x - 2}{x - 3} \cdot \frac{2 x - 6}{x + 5}$
50365	Find the Inverse	[[3,5],[2,3]]	$[\begin{array}{c} 3 & 5 \\ 2 & 3 \end{array}]$
50366	Find the Inverse	[[6,-9],[4,6]]	$[\begin{array}{c} 6 & - 9 \\ 4 & 6 \end{array}]$
50367	Simplify	x^2y^2	$x^{2} y^{2}$
50368	Simplify	x^(5/4)	$x^{\frac{5}{4}}$
50369	Simplify	x^(-2/5)*x^(7/5)	$x^{- \frac{2}{5}} \cdot x^{\frac{7}{5}}$
50370	Simplify	x^4y^-7	$x^{4} y^{- 7}$
50371	Find the Inverse	[[3,-2],[2,6]]	$[\begin{array}{c} 3 & - 2 \\ 2 & 6 \end{array}]$
50372	Simplify	fifth root of x* cube root of x^2	$\sqrt[5]{x} \cdot \sqrt[3]{x^{2}}$
50373	Simplify	fourth root of y* fifth root of y^3	$\sqrt[4]{y} \cdot \sqrt[5]{y^{3}}$
50374	Find the Inverse	[[1,2,4,6],[0,1,4,-5],[0,0,1,-2],[0,0,0,-1]]	$[\begin{array}{c} 1 & 2 & 4 & 6 \\ 0 & 1 & 4 & - 5 \\ 0 & 0 & 1 & - 2 \\ 0 & 0 & 0 & - 1 \end{array}]$
50375	Simplify	( square root of 98x)/6+ square root of (2x)/9	$\frac{\sqrt{98 x}}{6} + \sqrt{\frac{2 x}{9}}$
50376	Simplify	(x^11)/x	$\frac{x^{11}}{x}$
50377	Simplify	(x^2+3x+2)/(x^2-3x-4)	$\frac{x^{2} + 3 x + 2}{x^{2} - 3 x - 4}$
50378	Simplify	(x^2+11x+30)/(x^2+2x-35)*(x^2-4x-5)/(x^2+4x-12)	$\frac{x^{2} + 11 x + 30}{x^{2} + 2 x - 35} \cdot \frac{x^{2} - 4 x - 5}{x^{2} + 4 x - 12}$
50379	Simplify	(y^(-1/2)y^(5/2))/(y^(1/3))	$\frac{y^{- \frac{1}{2}} y^{\frac{5}{2}}}{y^{\frac{1}{3}}}$
50380	Simplify	(y^2-9)/(-2y)*(-5y)/(y+3)	$\frac{y^{2} - 9}{- 2 y} \cdot \frac{- 5 y}{y + 3}$
50381	Simplify	(x^2y)/4*(16x)/y	$\frac{x^{2} y}{4} \cdot \frac{16 x}{y}$
50382	Find the Integral	(1-6x)e^(3x-9x^2)	$(1 - 6 x) e^{3 x - 9 x^{2}}$
50383	Simplify	(x^2-64)/(x^2-5x-24)*(x+3)/x	$\frac{x^{2} - 64}{x^{2} - 5 x - 24} \cdot \frac{x + 3}{x}$
50384	Simplify	(x^2-6x+9)/(x^2-9)	$\frac{x^{2} - 6 x + 9}{x^{2} - 9}$
50385	Find the Mean	9 , 15 , 17 , 18 , 6 , 20 , 8 , 5 , 18 , 18 , 10 , 5 , 14 , 12 , 10 , 7	$9$ , $15$ , $17$ , $18$ , $6$ , $20$ , $8$ , $5$ , $18$ , $18$ , $10$ , $5$ , $14$ , $12$ , $10$ , $7$
50386	Simplify	(x^2-5x)/(x^2+3x)*(x+3)/(x-5)	$\frac{x^{2} - 5 x}{x^{2} + 3 x} \cdot \frac{x + 3}{x - 5}$
50387	Find the Mean	147 , 141 , 120 , 124 , 128	$147$ , $141$ , $120$ , $124$ , $128$
50388	Find the Mean	16 , 18 , 23 , 25 , 26 , 34 , 37 , 37 , 40 , 41 , 46	$16$ , $18$ , $23$ , $25$ , $26$ , $34$ , $37$ , $37$ , $40$ , $41$ , $46$
50389	Simplify	11/(xy^2)-(10y^2)/(8x^2)	$\frac{11}{x y^{2}} - \frac{10 y^{2}}{8 x^{2}}$
50390	Simplify	16^(-3/2)	$16^{- \frac{3}{2}}$
50391	Find the Mean	5 , 7 , 4 , 8 , 9 , 9	$5$ , $7$ , $4$ , $8$ , $9$ , $9$
50392	Simplify	1/2+1/3	$\frac{1}{2} + \frac{1}{3}$
50393	Find the Mean	5/8 , 3/4 , 1 1/8 , 1 1/4	$\frac{5}{8}$ , $\frac{3}{4}$ , $1 \frac{1}{8}$ , $1 \frac{1}{4}$
50394	Simplify	1/3x	$\frac{1}{3} x$
50395	Find the Mean	20 14 29 39 33 25 19 35	$20$ $14$ $29$ $39$ $33$ $25$ $19$ $35$
50396	Simplify	1/x-1/y	$\frac{1}{x} - \frac{1}{y}$
50397	Find the Mean	34 , 75 , 26 , 81 , 65 , 38 , 49 , 894	$34$ , $75$ , $26$ , $81$ , $65$ , $38$ , $49$ , $894$
50398	Solve for n	log base 2 of n=4	$\log_{2} (n) = 4$
50399	Find the Mean	-7.5 , -9 , -10.5 , -12	$- 7.5$ , $- 9$ , $- 10.5$ , $- 12$
50400	Simplify	10/(x+9)-(9x)/(x^2-81)	$\frac{10}{x + 9} - \frac{9 x}{x^{2} - 81}$