Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
138401	Find the Local Maxima and Minima	y=2x^3-24x-5	$y = 2 x^{3} - 24 x - 5$
138402	Find the Sine Given the Point	(60/61,11/61)	$(\frac{60}{61}, \frac{11}{61})$
138403	Find the Sum of the First 5 Terms	5 , 10 , 20	$5$ , $10$ , $20$
138404	Find the Sum of the First 5 Terms	3 , 9 , 27 , 81	$3$ , $9$ , $27$ , $81$
138405	Find the Sum of the First 5 Terms	4 , 8 , 16	$4$ , $8$ , $16$
138406	Find the Sum of the First 5 Terms	2 , 6 , 18 , 54	$2$ , $6$ , $18$ , $54$
138407	Find the Sum of the First 5 Terms	4 , 4/3 , 4/9	$4$ , $\frac{4}{3}$ , $\frac{4}{9}$
138408	Find the Sum of the First 6 Terms	5 , 15 , 45 , 135	$5$ , $15$ , $45$ , $135$
138409	Find the Sine Given the Point	(13/85,84/85)	$(\frac{13}{85}, \frac{84}{85})$
138410	Find the Sine Given the Point	(20/29,-21/29)	$(\frac{20}{29}, - \frac{21}{29})$
138411	Find the Eccentricity	(x^2)/16+(y^2)/4=1	$\frac{x^{2}}{16} + \frac{y^{2}}{4} = 1$
138412	Find the Eccentricity	(x^2)/144-(y^2)/25=1	$\frac{x^{2}}{144} - \frac{y^{2}}{25} = 1$
138413	Find the Eccentricity	((x-5)^2)/4-((y-2)^2)/16=1	$\frac{{(x - 5)}^{2}}{4} - \frac{{(y - 2)}^{2}}{16} = 1$
138414	Find the Eccentricity	((x+3)^2)/49+((y-6)^2)/121=1	$\frac{{(x + 3)}^{2}}{49} + \frac{{(y - 6)}^{2}}{121} = 1$
138415	Find the Cofactor Matrix	[[-4,0,2],[4,4,3],[3,-3,3]]	$[\begin{array}{c} - 4 & 0 & 2 \\ 4 & 4 & 3 \\ 3 & - 3 & 3 \end{array}]$
138416	Find the Cofactor Matrix	[[2,3,-1],[1,-1,2],[4,2,3]]	$[\begin{array}{c} 2 & 3 & - 1 \\ 1 & - 1 & 2 \\ 4 & 2 & 3 \end{array}]$
138417	Find the Eccentricity	((x-7)^2)/36-((y+10)^2)/121=1	$\frac{{(x - 7)}^{2}}{36} - \frac{{(y + 10)}^{2}}{121} = 1$
138418	Find the Eccentricity	(x^2)/9+(y^2)/36=1	$\frac{x^{2}}{9} + \frac{y^{2}}{36} = 1$
138419	Find the Eccentricity	2x^2+y^2=4	$2 x^{2} + y^{2} = 4$
138420	Find the Eccentricity	5x^2+9y^2=45	$5 x^{2} + 9 y^{2} = 45$
138421	Project Using the Transformation	A=[[17,1,8],[2,4,0.2],[1,2,6]],x=[[1,8],[3]]	$A = [\begin{array}{c} 17 & 1 & 8 \\ 2 & 4 & 0.2 \\ 1 & 2 & 6 \end{array}]$ , $x = [\begin{array}{c} 1 & 8 \\ 3 \end{array}]$
138422	Find the Vertex	f(x)=x^2+10x+21	$f (x) = x^{2} + 10 x + 21$
138423	Find the Vertex	f(x)=2x^2+4x+9	$f (x) = 2 x^{2} + 4 x + 9$
138424	Determine the Possible Number of Real Roots	p(x)=5x^20-7x^14-6x^11+6x^2-5x	$p (x) = 5 x^{20} - 7 x^{14} - 6 x^{11} + 6 x^{2} - 5 x$
138425	Determine the Possible Number of Real Roots	p(x)=x^3+3x^2-6x-8	$p (x) = x^{3} + 3 x^{2} - 6 x - 8$
138426	Determine the Possible Number of Real Roots	f(x)=5x^3-x^2+5x-1	$f (x) = 5 x^{3} - x^{2} + 5 x - 1$
138427	Determine the Possible Number of Real Roots	f(x)=7x^3-x^2+7x-1	$f (x) = 7 x^{3} - x^{2} + 7 x - 1$
138428	Determine the Possible Number of Real Roots	f(x)=7x^5-3x^2+4x-15	$f (x) = 7 x^{5} - 3 x^{2} + 4 x - 15$
138429	Determine the Possible Number of Real Roots	f(x)=x^3-4x^2+x-4	$f (x) = x^{3} - 4 x^{2} + x - 4$
138430	Determine the Possible Number of Real Roots	f(x)=x^3+3x^2-4x-12	$f (x) = x^{3} + 3 x^{2} - 4 x - 12$
138431	Find the Lower or First Quartile	176 , 180 , 215 , 216 , 219 , 220 , 224 , 231 , 236 , 250 , 264	$176$ , $180$ , $215$ , $216$ , $219$ , $220$ , $224$ , $231$ , $236$ , $250$ , $264$
138432	Find the Lower or First Quartile	3 , 6 , 7 , 8 , 10 , 12 , 15 , 18	$3$ , $6$ , $7$ , $8$ , $10$ , $12$ , $15$ , $18$
138433	Find the Lower or First Quartile	62 , 21 , 64 , 268 , 93 , 108 , 114 , 33 , 52 , 64	$62$ , $21$ , $64$ , $268$ , $93$ , $108$ , $114$ , $33$ , $52$ , $64$
138434	Find the Lower or First Quartile	71 , 96 , 110 , 112 , 114 , 114 , 121 , 127 , 135 , 175 , 180	$71$ , $96$ , $110$ , $112$ , $114$ , $114$ , $121$ , $127$ , $135$ , $175$ , $180$
138435	Divide	(9+i)/(9-i)	$\frac{9 + i}{9 - i}$
138436	Divide	95/2	$\frac{95}{2}$
138437	Divide	45/3	$\frac{45}{3}$
138438	Divide	28/8	$\frac{28}{8}$
138439	Divide	(x^5+32)/(x+2)	$\frac{(x^{5} + 32)}{(x + 2)}$
138440	Divide	15/(3+4i)	$\frac{15}{(3 + 4 i)}$
138441	Divide	(15x^2y^2+5x^2y-10xy^2)/(-xy)	$\frac{15 x^{2} y^{2} + 5 x^{2} y - 10 x y^{2}}{- x y}$
138442	Simplify/Condense	log base 3 of 162- log base 3 of 2	$\log_{3} (162) - \log_{3} (2)$
138443	Find the Range	135 , 115 , 120 , 110 , 110 , 100 , 105 , 110 , 125	$135$ , $115$ , $120$ , $110$ , $110$ , $100$ , $105$ , $110$ , $125$
138444	Find the Range	13 , 14 , 15 , 16 , 17	$13$ , $14$ , $15$ , $16$ , $17$
138445	Find the Range	145 , 181 , 163 , 150 , 158 , 172 , 159	$145$ , $181$ , $163$ , $150$ , $158$ , $172$ , $159$
138446	Find the Range	12 , 15 , 8 , 29 , 30 , 27 , 19 , 12	$12$ , $15$ , $8$ , $29$ , $30$ , $27$ , $19$ , $12$
138447	Find the Range	11 , 7 , 14 , 2 , 8 , 13 , 3 , 6 , 10 , 3 , 8 , 4 , 8 , 4 , 7	$11$ , $7$ , $14$ , $2$ , $8$ , $13$ , $3$ , $6$ , $10$ , $3$ , $8$ , $4$ , $8$ , $4$ , $7$
138448	Find the Range	12 , 5 , 9 , 18 , 22 , 25 , 5	$12$ , $5$ , $9$ , $18$ , $22$ , $25$ , $5$
138449	Find the Range	10 , 10 , 11 , 12 , 13 , 13 , 13 , 14 , 14 , 15 , 15 , 15 , 16 , 17 , 17 , 17 , 35	$10$ , $10$ , $11$ , $12$ , $13$ , $13$ , $13$ , $14$ , $14$ , $15$ , $15$ , $15$ , $16$ , $17$ , $17$ , $17$ , $35$
138450	Find the Local Maxima and Minima	x^4-12x^3+46x^2-60x+25	$x^{4} - 12 x^{3} + 46 x^{2} - 60 x + 25$
138451	Subtract the Expressions	6a^3-2a^2+45a^3-4a+7	$6 a^{3} - 2 a^{2} + 45 a^{3} - 4 a + 7$
138452	Subtract the Expressions	16a^2-32a+9 12a^2+60a-8	$16 a^{2} - 32 a + 9$ $12 a^{2} + 60 a - 8$
138453	Subtract the Expressions	2x^2-4x-3x^2-5x-8	$2 x^{2} - 4 x - 3 x^{2} - 5 x - 8$
138454	Subtract the Expressions	2x^3-4x^2+6x-3x^3+6x^2-8x+12-3x^3+2x^2-4x-7	$2 x^{3} - 4 x^{2} + 6 x - 3 x^{3} + 6 x^{2} - 8 x + 12 - 3 x^{3} + 2 x^{2} - 4 x - 7$
138455	Subtract the Expressions	3m-4n-7 8m+n-6	$3 m - 4 n - 7$ $8 m + n - 6$
138456	Find the Local Maxima and Minima	-x^3+6x^2-9x-5	$- x^{3} + 6 x^{2} - 9 x - 5$
138457	Find the Local Maxima and Minima	x^3+5x^2-17x-21	$x^{3} + 5 x^{2} - 17 x - 21$
138458	Find the Range	88 , 71 , 77 , 86 , 75 , 91 , 86 , 91 , 91	$88$ , $71$ , $77$ , $86$ , $75$ , $91$ , $86$ , $91$ , $91$
138459	Find the Range	94 , 92 , 88 , 83 , 84 , 78 , 90	$94$ , $92$ , $88$ , $83$ , $84$ , $78$ , $90$
138460	Find the Range	9 , 5 , 5 , 5 , 7 , 6 , 7	$9$ , $5$ , $5$ , $5$ , $7$ , $6$ , $7$
138461	Simplify	(negative infinity,11] union [-9,12)	$(- \infty, 11] \cup [- 9, 12)$
138462	Simplify	(negative infinity,4] union [-14,8)	$(- \infty, 4] \cup [- 14, 8)$
138463	Find the Range	67 , 70 , 73 , 68 , 71 , 73 , 74 , 73 , 70	$67$ , $70$ , $73$ , $68$ , $71$ , $73$ , $74$ , $73$ , $70$
138464	Find the Range	68 , 88 , 113 , 156 , 113 , 210 , 145	$68$ , $88$ , $113$ , $156$ , $113$ , $210$ , $145$
138465	Find the Range	66 , 71 , 75 , 83 , 88 , 89 , 90 , 91	$66$ , $71$ , $75$ , $83$ , $88$ , $89$ , $90$ , $91$
138466	Find the Range	8 , 5 , 5 , 9 , 11 , 15 , 7 , 11 , 16	$8$ , $5$ , $5$ , $9$ , $11$ , $15$ , $7$ , $11$ , $16$
138467	Find the GCF	13 , 78 , 98	$13$ , $78$ , $98$
138468	Simplify	(79.4,58.1)+3(-0.8,6.3)	$(79.4, 58.1) + 3 (- 0.8, 6.3)$
138469	Simplify	[5,6] union (6,9)	$[5, 6] \cup (6, 9)$
138470	Simplify	3(-2,-7)+3(-3,2)-4(6,9)	$3 (- 2, - 7) + 3 (- 3, 2) - 4 (6, 9)$
138471	Find the Five Number Summary	35 , 28 , 43 , 32 , 37 , 35 , 31 , 25 , 40 , 36	$35$ , $28$ , $43$ , $32$ , $37$ , $35$ , $31$ , $25$ , $40$ , $36$
138472	Find the Range	5 , 6 , 7 , 8 , 9	$5$ , $6$ , $7$ , $8$ , $9$
138473	Find the Range	6 , 8 , 25 , 8 , 12 , 50 , 25	$6$ , $8$ , $25$ , $8$ , $12$ , $50$ , $25$
138474	Find the Range	4 , 10 , 10 , 14 , 4 , 25 , 15 , 22 , 16 , 10	$4$ , $10$ , $10$ , $14$ , $4$ , $25$ , $15$ , $22$ , $16$ , $10$
138475	Find the Range	40 , 65 , 33 , 46 , 55 , 50 , 61	$40$ , $65$ , $33$ , $46$ , $55$ , $50$ , $61$
138476	Find the Range	35 , 36 , 36 , 38 , 41 , 42 , 45 , 48	$35$ , $36$ , $36$ , $38$ , $41$ , $42$ , $45$ , $48$
138477	Find the Range	35 , 56 , 34 , 44 , 52 , 12 , 34 , 45	$35$ , $56$ , $34$ , $44$ , $52$ , $12$ , $34$ , $45$
138478	Find the Range	3 , 4 , 5 , 6 , 7 , 8 , 9 , 11 , 13 , 15 , 18 , 19 , 29	$3$ , $4$ , $5$ , $6$ , $7$ , $8$ , $9$ , $11$ , $13$ , $15$ , $18$ , $19$ , $29$
138479	Find the Range	16 , 22 , 17 , 18 , 21 , 30 , 18 , 29 , 19 , 28 , 19 , 21 , 21 , 22 , 22 , 24 , 25	$16$ , $22$ , $17$ , $18$ , $21$ , $30$ , $18$ , $29$ , $19$ , $28$ , $19$ , $21$ , $21$ , $22$ , $22$ , $24$ , $25$
138480	Find the Range	17 , 18 , 19 , 20 , 21	$17$ , $18$ , $19$ , $20$ , $21$
138481	Find the Range	17 , 21 , 41 , 23 , 41 , 17 , 31 , 15 , 37	$17$ , $21$ , $41$ , $23$ , $41$ , $17$ , $31$ , $15$ , $37$
138482	Find the Range	2 , 8 , 7 , 8 , 6 , 15 , 6 , 3 , 8	$2$ , $8$ , $7$ , $8$ , $6$ , $15$ , $6$ , $3$ , $8$
138483	Find the Range	2 , 3 , 2 , 1 , 0 , 0 , 0 , 2 , 1	$2$ , $3$ , $2$ , $1$ , $0$ , $0$ , $0$ , $2$ , $1$
138484	Round to the Nearest Thousandth	0.15	$0.15$
138485	Round to the Nearest Thousandth	0.173103	$0.173103$
138486	Round to the Nearest Thousandth	0.08	$0.08$
138487	Round to the Nearest Thousandth	165.32829345	$165.32829345$
138488	Round to the Nearest Thousandth	2.0860	$2.086$
138489	Round to the Nearest Thousandth	-2.12396375	$- 2.12396375$
138490	Round to the Nearest Thousandth	1.4953	$1.4953$
138491	Round to the Nearest Thousandth	1.49993655	$1.49993655$
138492	Round to the Nearest Thousandth	-1.4649	$- 1.4649$
138493	Round to the Nearest Thousandth	1.77124	$1.77124$
138494	Round to the Nearest Thousandth	2.19722457	$2.19722457$
138495	Round to the Nearest Thousandth	-3.41902620	$- 3.4190262$
138496	Round to the Nearest Thousandth	2.87506126	$2.87506126$
138497	Round to the Nearest Thousandth	2.646	$2.646$
138498	Round to the Nearest Thousandth	2.8	$2.8$
138499	Round to the Nearest Thousandth	2980.95798704	$2980.95798704$
138500	Round to the Nearest Thousandth	0.755928946018	$0.75592894$