4
Find i such that -54049*i**5/5 + 864782*i**4/5 + 4053707*i**3/5 + 5296952*i**2/5 + 2162156*i/5 + 16 = 0.
-2, -1, -2/54049, 20
Solve -16*a**3 + 1763072*a**2 + 29975692*a + 127401604 = 0.
-17/2, 110209
Solve 8*g**3 - 2013300*g**2 - 410038664*g + 205522656 = 0.
-204, 1/2, 251866
Find y such that -2*y**2 - 985130*y + 78823200 = 0.
-492645, 80
Factor 2*l**2/3 - 177832*l + 2667330.
2*(l - 266733)*(l - 15)/3
Determine c so that -2*c**4/9 + 76*c**3/3 + 7970*c**2/9 - 228*c - 7952 = 0.
-28, -3, 3, 142
Solve 2*g**2/5 - 1986562*g/5 + 13905836/5 = 0 for g.
7, 993274
Suppose 5*k**2 + 3038120*k + 461508656720 = 0. What is k?
-303812
Let 3*s**2 - 188805*s + 235487178 = 0. What is s?
1273, 61662
Find l such that -6*l**5/7 + 9110*l**4/7 - 200672*l**3/7 + 309768*l**2/7 + 2093600*l/7 + 1196800/7 = 0.
-2, -2/3, 5, 20, 1496
Factor p**3/4 + 1122*p**2 - 3758716*p.
p*(p - 2236)*(p + 6724)/4
Find n, given that 2*n**2/13 + 479606*n - 6234880/13 = 0.
-3117440, 1
Suppose q**4 + 898392*q**3 + 201784233343*q**2 + 3228302477112*q - 3430087608848 = 0. What is q?
-449188, -17, 1
Suppose h**4/5 - 1298*h**3/5 + 5036*h**2/5 + 36232*h = 0. What is h?
-10, 0, 14, 1294
Determine i so that -3*i**3 + 8940*i**2 - 106848*i = 0.
0, 12, 2968
Factor -12*n**4 - 2090196*n**3 - 6270507*n**2 - 4702860*n.
-3*n*(n + 174180)*(2*n + 3)**2
Determine m, given that -m**5 - 15094*m**4 - 35805129*m**3 + 159634747760*m**2 - 111852622081600*m = 0.
-8755, 0, 1208
Factor 5*k**4 - 165*k**3 - 6165*k**2 + 180425*k + 808500.
5*(k - 35)**2*(k + 4)*(k + 33)
Let 22*b**2/7 - 10969268*b/7 - 9972080/7 = 0. What is b?
-10/11, 498604
Solve -2*g**2/7 + 8858*g/7 - 627408/7 = 0.
72, 4357
What is r in 2*r**5 - 70*r**4 - 5928*r**3 + 135424*r**2 + 710656*r - 19267584 = 0?
-49, -12, 16, 64
Let 2*j**5/3 + 1747*j**4/6 - 35571*j**3/2 - 81451*j**2/6 + 27005*j/6 = 0. What is j?
-491, -1, 0, 1/4, 55
Solve z**2/8 - 695253*z/4 + 483376734009/8 = 0.
695253
Factor -3*l**3 - 5790*l**2 + 564417*l.
-3*l*(l - 93)*(l + 2023)
Solve j**2/5 - 5213648*j/5 + 6795531366976/5 = 0.
2606824
Factor 3*n**3/8 - 1580631*n**2/8 + 3161253*n/8 - 1580625/8.
3*(n - 526875)*(n - 1)**2/8
Factor l**5 + 237976*l**4 + 14168135608*l**3 + 1188864318432*l**2 + 24957338215824*l.
l*(l + 42)**2*(l + 118946)**2
Let -i**2 + 487228*i - 2923332 = 0. Calculate i.
6, 487222
Determine x, given that x**2 - 935464*x - 935465 = 0.
-1, 935465
What is c in -6*c**2 - 2418386*c + 1612260 = 0?
-403065, 2/3
Factor -4*w**2 - 40392*w - 4631648.
-4*(w + 116)*(w + 9982)
Factor 5*k**3 - 375625*k**2 + 7055646000*k - 35268840000.
5*(k - 37560)**2*(k - 5)
Determine w, given that w**2/3 - 149*w/3 + 420 = 0.
9, 140
Factor 4*j**2 - 1484752*j + 218172108.
4*(j - 371041)*(j - 147)
Let -5*t**2 - 82855*t - 14589770 = 0. Calculate t.
-16393, -178
Let -j**2/2 - 36817*j + 73635/2 = 0. What is j?
-73635, 1
Factor -4*y**2 + 6881056*y - 213308892.
-4*(y - 1720233)*(y - 31)
Determine h, given that -12*h**3/7 + 12975*h**2/7 - 4170174*h/7 + 339343239/7 = 0.
493/4, 479
Factor 5*y**2 + 8248530*y + 3401912358045.
5*(y + 824853)**2
Determine m, given that 6*m**3 + 83680*m**2 - 697674*m + 1060580 = 0.
-13955, 2, 19/3
Solve -3*s**4 - 11808*s**3 + 101910438*s**2 + 203856288*s + 101934045 = 0.
-8119, -1, 4185
Suppose -3*n**3 - 246*n**2 + 24297*n - 93060 = 0. Calculate n.
-141, 4, 55
Solve d**4/3 - 975817*d**3/3 - 4228589*d**2 - 22444079*d/3 - 10734130/3 = 0 for d.
-11, -1, 975830
Suppose 3*g**3 + 1806*g**2 + 164232*g + 921024 = 0. Calculate g.
-492, -104, -6
Suppose h**3/6 - 41081*h**2/3 - 1508320*h = 0. What is h?
-110, 0, 82272
Factor -a**3 - 6148*a**2 - 335115*a.
-a*(a + 55)*(a + 6093)
Factor -y**2 + 348751*y + 348752.
-(y - 348752)*(y + 1)
Factor 2*p**3/7 - 358*p**2/7 + 14272*p/7 + 14632/7.
2*(p - 118)*(p - 62)*(p + 1)/7
Let -r**5/7 - 26792*r**4/7 - 1977345*r**3/7 - 5690934*r**2/7 = 0. What is r?
-26718, -71, -3, 0
What is k in -2*k**2/5 - 3132*k/5 + 663184 = 0?
-2290, 724
Determine p so that -p**2/7 - 988*p/7 + 27224045/7 = 0.
-5735, 4747
Find a such that -2*a**2/9 - 777710*a/3 + 4666268/9 = 0.
-1166567, 2
Determine y, given that 1156*y**4 - 4846360*y**3 + 5166738772*y**2 - 183050438160*y + 1649179913616 = 0.
309/17, 2078
What is m in -2*m**4 - 6853*m**3 - 426484*m**2 + 2075311*m + 1143420 = 0?
-3363, -68, -1/2, 5
Determine j, given that -5*j**2 - 2529000*j + 2529005 = 0.
-505801, 1
Solve -l**4 - 974*l**3 + 187671*l**2 - 1787256*l + 1600560 = 0.
-1140, 1, 9, 156
Suppose -2*k**4/17 + 1880*k**3/17 + 341642*k**2/17 + 339760*k/17 = 0. Calculate k.
-155, -1, 0, 1096
Determine m so that -m**2/5 - 49487*m/5 - 49486/5 = 0.
-49486, -1
Factor 5*v**2 - 25801215*v - 77403690.
5*(v - 5160246)*(v + 3)
Suppose 82*y**3/11 - 47802*y**2/11 + 4143752*y/11 + 202248/11 = 0. What is y?
-2/41, 106, 477
Suppose -5*g**3 + 312630*g**2 - 11249820*g + 101233800 = 0. Calculate g.
18, 62490
Find d, given that -4*d**3 + 117332*d**2 - 61571552*d + 8151374224 = 0.
266, 28801
Let -16*q**4 - 279464*q**3 - 1117449649*q**2 + 898344363930*q - 165330864191025 = 0. What is q?
-9087, 1415/4
What is p in -p**3/4 - 1900243*p**2/2 = 0?
-3800486, 0
Factor -5*w**2/3 - 23566330*w/3 - 27768595483445/3.
-5*(w + 2356633)**2/3
Factor 2*m**2/7 + 51570556*m/7 + 332440280768642/7.
2*(m + 12892639)**2/7
Factor 3*b**2/8 - 11547*b/4 + 14563395/8.
3*(b - 7005)*(b - 693)/8
Factor 2*u**3/17 + 246288*u**2/17 + 2705054*u.
2*u*(u + 187)*(u + 122957)/17
Factor -5*z**2/3 - 41452267*z/3 - 16580906/3.
-(z + 8290453)*(5*z + 2)/3
Determine y so that -7*y**2/6 - 203177*y/3 + 232216 = 0.
-58054, 24/7
Find w, given that 2*w**3/13 - 4634*w**2/13 - 897748*w/13 + 802560 = 0.
-190, 11, 2496
Find w such that -4*w**3 + 47272*w**2 - 4920284*w + 9651512 = 0.
2, 103, 11713
Solve 14*g**5 - 2910*g**4 + 5190*g**3 + 34430*g**2 - 47844*g - 74160 = 0.
-3, -1, 20/7, 3, 206
Suppose -2*d**3/3 + 1629658*d**2 + 6518640*d + 19555928/3 = 0. What is d?
-2, 2444491
Factor 3*a**3 - 485061*a**2 - 970143*a + 1455201.
3*(a - 161689)*(a - 1)*(a + 3)
Factor 29*l**3/3 + 6785978*l**2/3 + 396989423740*l/3 + 1286722008376/3.
(l + 116998)**2*(29*l + 94)/3
Factor -f**3/5 + 3067*f**2/5 - 21426*f/5 + 3672.
-(f - 3060)*(f - 6)*(f - 1)/5
Factor -3*m**3/4 + 1449499*m**2/2 - 175087520833*m + 116724691778.
-(m - 483166)**2*(3*m - 2)/4
Factor 4*h**2 - 4065240*h + 36586836.
4*(h - 1016301)*(h - 9)
Find u such that 29282*u**4/7 + 9311192*u**3/7 + 149682084*u**2/7 - 2475992*u/7 + 1462 = 0.
-301, -17, 1/121
Factor 2*k**3/13 - 12642*k**2/13 + 8072208*k/13 - 1362420000/13.
2*(k - 5625)*(k - 348)**2/13
Factor 2*r**2/11 + 45149572*r/11 + 254810481472898/11.
2*(r + 11287393)**2/11
Let w**2 + 20333*w + 21482370 = 0. What is w?
-19215, -1118
Factor 5*c**3 - 39945*c**2 + 15682315*c - 15642375.
5*(c - 7575)*(c - 413)*(c - 1)
Solve -2*a**4/5 + 684*a**3/5 - 11544*a**2 + 285200*a = 0 for a.
0, 50, 62, 230
Factor -3*r**2 - 36807*r - 220734.
-3*(r + 6)*(r + 12263)
Let 38*d**3 - 276328*d**2/3 - 1303480*d - 273056/3 = 0. Calculate d.
-14, -4/57, 2438
Let -2*j**3/7 + 1114622*j**2/7 - 2229238*j/7 + 1114618/7 = 0. What is j?
1, 557309
Solve -2*z**4/7 - 1591280*z**3/7 = 0.
-795640, 0
Factor -2*b**3 - 12516778*b**2 - 19583710179270*b + 19583722696050.
-2*(b - 1)*(b + 3129195)**2
Let 4*n**4/7 - 14568*n**3 + 1121248*n**2/7 + 14568*n - 1121252/7 = 0. What is n?
-1, 1, 11, 25483
Factor -4*x**3/5 - 155004*x**2/5 - 464976*x/5.
-4*x*(x + 3)*(x + 38748)/5
Factor -6*l**3 + 46742*l**2 - 91088448*l + 212285304.
-2*(l - 3894)**2*(3*l - 7)
Solve 3*v**5/2 - 339*v**4/2 - 129456*v**3 - 12846648*v**2 - 280273728*v = 0.
-124, -31, 0, 392
Suppose 2*u**4/15 + 117748*u**3/3 + 43471436426*u**2/15 + 1418745416504*u + 871070116824024/5 = 0. Calculate u.
-146939, -246
Let -i**3/6 + 1279403*i**2/6 - 136409627937*i/2 + 2318840427411/2 = 0. Calculate i.
17, 639693
Determine s, given that -s**4/4 + 2021*s**3/4 - 75493*s**2/4 + 275739*s/4 - 101133/2 = 0.
1, 3, 34, 1983
Let -16*v**3 - 63388086*v**2 - 87158594*v - 23770524 = 0. Calculate v.
-3961754, -1, -3/8
Factor -2*g**2 + 591704*g + 14793850.
-2*(g - 295877)*(g + 25)
Find k such that -3293*k**2/4 - 839713*k/4 + 255/2 = 0.
-255, 2/3293
Factor -175059361*h**2/4 + 330444225*h/2 - 623750625/4.
-(13231*h - 24975)**2/4
Find u such that 4*u**2 - 233968*u - 13818036 = 0.
-59, 58551
What is i in -3*i**2/8 - 7035*i/4 - 73206 = 0