, 4, 348
Factor -5*w**3 - 4340*w**2 + 378420*w - 739440.
-5*(w - 78)*(w - 2)*(w + 948)
Factor -4*b**3 + 63756*b**2 - 1655628*b + 10757188.
-4*(b - 15913)*(b - 13)**2
Factor 3*b**2 + 3494289*b + 20965626.
3*(b + 6)*(b + 1164757)
What is n in 3*n**4 - 335*n**3/3 + 3454*n**2/3 - 2040*n = 0?
0, 20/9, 17, 18
Solve -k**2 + 4187*k - 2958300 = 0.
900, 3287
Suppose -4*c**2/3 + 188611376*c/3 - 2223390697288336/3 = 0. What is c?
23576422
Suppose -v**5/4 + 3548109*v**4/4 - 21288619*v**3/4 + 3548079*v**2/4 + 21288614*v + 14192412 = 0. Calculate v.
-1, 4, 3548103
Factor 2*x**2/7 + 5568236*x/7 + 3875656518962/7.
2*(x + 1392059)**2/7
Let 2*q**2 + 301954*q + 1811652 = 0. Calculate q.
-150971, -6
Determine w so that 2*w**3 - 6458757*w**2 + 5214444362820*w - 2607220566721 = 0.
1/2, 1614689
Let -3555*p**4/2 + 313279*p**3/2 - 10381661*p**2/3 + 1274240*p/3 + 13552/3 = 0. What is p?
-7/711, 2/15, 44
Factor 4*f**3 + 663180*f**2 + 27488976768*f + 82460961792.
4*(f + 3)*(f + 82896)**2
Determine q, given that 136*q**2 - 2689260*q - 79096 = 0.
-1/34, 19774
Factor d**2/5 + 45113636*d/5 + 508810038285124/5.
(d + 22556818)**2/5
Factor -5*a**3 + 2304875*a**2 - 265476018235*a - 33752639886635.
-5*(a - 230551)**2*(a + 127)
Determine q so that 4*q**2 - 1047436*q = 0.
0, 261859
Factor -2*a**3 + 48766*a**2 + 2539888*a + 33036120.
-2*(a - 24435)*(a + 26)**2
Suppose g**2/3 + 381703*g/3 + 127234 = 0. What is g?
-381702, -1
Factor -3*i**3/4 + 1926429*i**2/4 + 5779341*i/2.
-3*i*(i - 642149)*(i + 6)/4
Find n such that 10*n**2 + 742568*n - 148514 = 0.
-74257, 1/5
Solve 2*a**3/13 + 5276*a**2/13 - 17174800*a/13 - 34370688/13 = 0.
-4532, -2, 1896
Factor 3*i**2/2 + 147564*i + 378883725/2.
3*(i + 1301)*(i + 97075)/2
Determine g, given that -3*g**5/4 + 5721*g**4/4 - 1356531*g**3/2 - 3458820*g**2 + 15102888*g - 10967232 = 0.
-8, 1, 2, 956
What is c in -2*c**3 + 62506*c**2 - 500004430*c + 180632134502 = 0?
379, 15437
What is n in -3*n**2 - 172601748*n - 2482613617721292 = 0?
-28766958
Factor q**4/7 + 295*q**3/7 + 1153*q**2/7 - 3195*q/7 + 1746/7.
(q - 1)**2*(q + 6)*(q + 291)/7
Suppose r**5/2 + 2677*r**4/2 + 116369*r**3/2 + 1361807*r**2/2 + 717045*r - 4644612 = 0. What is r?
-2633, -21, -4, 2
Factor -4*f**3/9 - 46108*f**2/9 - 130275772*f/9 + 5011392628/3.
-4*(f - 111)*(f + 5819)**2/9
Let -14*x**3/13 - 538152*x**2/13 - 2382930*x/13 + 1537400/13 = 0. What is x?
-38435, -5, 4/7
Let 2*m**4/9 + 164*m**3/9 - 7498*m**2/3 - 135320*m + 7483944 = 0. What is m?
-102, 39, 83
Let 5*l**5 + 15445*l**4 + 1714410*l**3 + 12975200*l**2 + 25457440*l = 0. What is l?
-2974, -107, -4, 0
Solve -5*t**3 + 4425*t**2 + 633330*t + 3639600 = 0 for t.
-120, -6, 1011
Factor 4*s**3 - 16748*s**2 - 1487008*s - 1470256.
4*(s - 4274)*(s + 1)*(s + 86)
Let 3*m**3 - 1959315*m**2 + 21552066*m + 23511384 = 0. Calculate m.
-1, 12, 653094
Solve 4*o**2 + 37983104*o = 0 for o.
-9495776, 0
Suppose -3*d**2 - 15162*d - 1660512 = 0. What is d?
-4942, -112
Determine c so that c**3/4 + 2399*c**2 + 134161*c/4 + 62283/2 = 0.
-9582, -13, -1
Find s, given that -2*s**2 - 119250*s - 28504800 = 0.
-59385, -240
Solve 5*t**4/4 + 2585*t**3/2 + 405680*t**2 + 73293135*t/2 + 3454693515/4 = 0 for t.
-453, -91, -37
Factor 2*x**3 + 73512*x**2 - 4786602*x + 4713088.
2*(x - 64)*(x - 1)*(x + 36821)
Factor 4*y**3 + 4616*y**2 + 216956*y + 415480.
4*(y + 2)*(y + 47)*(y + 1105)
Let 55*b**2 - 2086855*b - 379430 = 0. Calculate b.
-2/11, 37943
Let -2*q**2 + 200922*q - 8234440 = 0. Calculate q.
41, 100420
Factor -2*f**3 - 40800*f**2 - 194096826*f + 144949589532.
-2*(f - 654)*(f + 10527)**2
Factor 5*z**2 - 42537140*z + 90470413968980.
5*(z - 4253714)**2
Factor -3*s**2/4 + 44406567*s/2 - 657314397575163/4.
-3*(s - 14802189)**2/4
Solve -3*f**4/4 - 8664*f**3 + 520371*f**2/4 - 416460*f - 555216 = 0 for f.
-11567, -1, 8
Solve x**3/3 + 420*x**2 - 141961*x/3 - 47740 = 0 for x.
-1364, -1, 105
Factor -9*b**2/4 + 125915988*b - 167887983/4.
-3*(b - 55962661)*(3*b - 1)/4
Suppose 2*l**2/3 + 109760*l/3 + 36586 = 0. Calculate l.
-54879, -1
Determine a so that 5*a**2 + 10860*a - 87717665 = 0.
-5413, 3241
Factor 6792122*n**2/9 - 13584250*n/9 + 4/3.
2*(n - 2)*(3396061*n - 3)/9
Factor 2*t**2/13 - 636336*t/13 - 636338/13.
2*(t - 318169)*(t + 1)/13
Find s such that 204363*s**4 + 31276152*s**3 + 5271519*s**2/4 + 55539*s/4 = 0.
-153, -11/522, 0
Factor 3*d**2/4 - 8624769*d/4 - 19405791.
3*(d - 2874932)*(d + 9)/4
Solve -4*i**5 - 300*i**4 + 22432*i**3 - 472688*i**2 + 4124160*i - 13004800 = 0 for i.
-127, 10, 16
Solve 5*u**2/2 + 380031445*u + 28884779837757605/2 = 0.
-76006289
Suppose -i**5 + 139*i**4 - 4393*i**3 + 15277*i**2 + 4394*i - 15416 = 0. Calculate i.
-1, 1, 4, 41, 94
Let 4*c**5/7 + 76976*c**4/7 - 21996*c**3 - 76976*c**2/7 + 153968*c/7 = 0. What is c?
-19246, -1, 0, 1, 2
Factor 7*o**3/2 - 12935763*o**2 + 11952427875978*o - 3414978337156.
(o - 1847966)**2*(7*o - 2)/2
Factor 2*b**2/7 + 13022172*b/7 + 21197120449698/7.
2*(b + 3255543)**2/7
What is v in 2*v**2/5 + 98658*v/5 - 3882760 = 0?
-49525, 196
Determine u, given that -3*u**5/4 + 447*u**4/4 - 4041*u**3 - 55863*u**2 + 3766176*u - 7278336 = 0.
-27, 2, 48, 78
Determine g so that g**5/7 + 1685*g**4/7 + 10074*g**3/7 - 32*g**2/7 - 53728*g/7 = 0.
-1679, -4, 0, 2
Factor -2*o**2/7 - 42954*o/7 + 42956/7.
-2*(o - 1)*(o + 21478)/7
What is t in -2*t**2/7 - 10194*t + 23620592/7 = 0?
-36007, 328
Solve -6*i**5 + 11338*i**4 - 30152*i**3 - 75512*i**2 + 60384*i = 0 for i.
-2, 0, 2/3, 4, 1887
Factor -6*u**3 - 994389*u**2 - 41197163184*u + 267823575279.
-3*(u + 82869)**2*(2*u - 13)
Factor -5*v**2 + 1834275*v + 1834280.
-5*(v - 366856)*(v + 1)
Solve -4*h**3/7 + 1524*h**2/7 - 95744*h/7 + 1206864/7 = 0.
17, 58, 306
Factor 2*h**3 + 1554290*h**2 + 96360214*h + 1493553526.
2*(h + 31)**2*(h + 777083)
Solve 2*x**3 - 1170748*x**2 - 2341502*x - 1170752 = 0.
-1, 585376
Suppose 2*t**2 - 26012158*t + 156072876 = 0. What is t?
6, 13006073
Solve -o**4/5 + 13671*o**3/5 - 9348910*o**2 + 139973988*o/5 + 93407112 = 0 for o.
-2, 5, 6834
What is y in y**4/5 - 447*y**3 + 11153*y**2/5 - 6681*y/5 - 4014 = 0?
-1, 3, 2230
Factor -4*v**2 - 1316*v - 104016.
-4*(v + 132)*(v + 197)
Factor 363*i**2/7 - 16934346*i/7 + 197501428683/7.
3*(11*i - 256581)**2/7
Determine z, given that -24*z**3 - 9615*z**2 + 208209*z + 985140 = 0.
-421, -4, 195/8
Suppose 33*j**5 + 25050*j**4 + 746928*j**3 = 0. Calculate j.
-728, -342/11, 0
Solve -14*t**3/13 - 4276338*t**2/13 + 65370092*t/13 - 18328080/13 = 0.
-305468, 2/7, 15
Factor r**3/5 - 8*r**2/5 - 428*r/5 + 528.
(r - 22)*(r - 6)*(r + 20)/5
What is h in 2*h**5 + 14198*h**4 + 141316*h**3 - 3293924*h**2 - 32802822*h + 35941230 = 0?
-7089, -13, 1, 15
Factor -2*j**2/5 + 108057896*j/5 - 216115784/5.
-2*(j - 54028946)*(j - 2)/5
Let r**2/3 - 8723*r/3 + 4057390/3 = 0. Calculate r.
493, 8230
Solve -215*b**2 - 120801375*b + 16856010 = 0 for b.
-561867, 6/43
Suppose 2*p**2/11 + 69811340*p/11 - 69811342/11 = 0. What is p?
-34905671, 1
Factor -5*j**5 - 926155*j**4 - 27780150*j**3.
-5*j**3*(j + 30)*(j + 185201)
Factor -z**2/3 - 3145817*z/3 + 29361220.
-(z - 28)*(z + 3145845)/3
Find x such that x**5 + 172*x**4 - 2168*x**3 - 822338*x**2 - 2449289*x - 1629290 = 0.
-151, -83, -2, -1, 65
Let d**2/10 - 153998687*d/5 + 23715595597723969/10 = 0. Calculate d.
153998687
Factor -2*y**2/9 + 2829478*y/9 - 147127448/9.
-2*(y - 1414687)*(y - 52)/9
Let -4*i**4 + 308*i**3 + 23308*i**2 + 270700*i - 637032 = 0. What is i?
-33, -19, 2, 127
Factor 5*q**2 + 11000*q + 21980.
5*(q + 2)*(q + 2198)
Determine c, given that -c**5/4 + 197*c**4/2 - 12507*c**3 + 488358*c**2 + 5256576*c - 461264544 = 0.
-26, 54, 156
Find c such that 4*c**5 + 2024*c**4 + 10008*c**3 - 6192*c**2 - 90396*c - 108216 = 0.
-501, -3, -2, 3
Determine w, given that -3*w**4 + 27765*w**3 - 68017563*w**2 + 17221283235*w - 51052441050 = 0.
3, 282, 4485
Let -3*k**2/4 - 19065*k/2 - 266763/4 = 0. What is k?
-12703, -7
Factor h**2/2 + 400145*h/2 - 8203813.
(h - 41)*(h + 400186)/2
Find x such that -3*x**4/2 + 419*x**3/4 - 86*x**2 - 69*x/4 = 0.
-1/6, 0, 1, 69
Factor -5*x**4/3 + 1030220*x**3/3 - 14422345*x**2/3 + 50477350*x/3.
-5*x*(x - 206030)*(x - 7)**2/3
Determine p so that -2*p**4 - 1247330*p**3 + 228311808*p**2 - 10330939808*p - 10560498944 = 0.
-623848, -1, 92
Suppose 4*y**2 + 728152*y - 6553692 = 0. What is y?
-182047, 9
Find m, gi