k - 21211)**2*(k + 2)**2/5
Factor -s**3 - 520273*s**2 + 6763718*s.
-s*(s - 13)*(s + 520286)
Find t such that -4*t**4/5 + 47204*t**3/5 - 123673156*t**2/5 - 94407154116*t/5 - 188319237912/5 = 0.
-611, -2, 6207
What is p in 2*p**2/3 + 558*p + 4968 = 0?
-828, -9
Let -j**3/5 + 348*j**2/5 + 321375*j + 124843750 = 0. What is j?
-625, 1598
Suppose 2*c**5 - 7071074*c**4 - 7071084*c**3 + 28284296*c**2 + 28284304*c = 0. What is c?
-2, -1, 0, 2, 3535538
Solve p**4/4 + 358307*p**3/4 + 895757*p**2/2 + 358302*p = 0 for p.
-358302, -4, -1, 0
Find l such that 3*l**4/8 - 234285*l**3/8 + 937101*l**2/8 - 702819*l/8 = 0.
0, 1, 3, 78091
Determine f, given that -3*f**5 + 525*f**4 - 27015*f**3 + 327075*f**2 + 766458*f = 0.
-2, 0, 21, 77, 79
Determine u, given that 14*u**2/25 + 3562676*u/5 + 5089536/25 = 0.
-1272384, -2/7
Determine u so that -u**3/5 - 504451*u**2/5 - 27238167*u/5 - 367705413/5 = 0.
-504397, -27
Factor 4*n**3 - 58016*n**2 + 579860*n - 1449400.
4*(n - 14494)*(n - 5)**2
Solve -2*s**2 - 29824386*s + 59648780 = 0 for s.
-14912195, 2
Suppose u**4 - 11492*u**3 - 172557*u**2 - 552292*u - 506308 = 0. What is u?
-11, -2, 11507
Factor -2*j**2 - 566986*j - 2834880.
-2*(j + 5)*(j + 283488)
Suppose s**5/6 - 57*s**4/2 - 4975*s**3 - 204170*s**2/3 - 53276*s + 126336 = 0. What is s?
-96, -14, -2, 1, 282
Factor -3908314*k**2/9 + 3908312*k/9 + 2/9.
-2*(k - 1)*(1954157*k + 1)/9
Suppose 46*u**4/3 + 445*u**3 - 5017*u**2 + 27385*u/3 + 14575 = 0. Calculate u.
-1749/46, -1, 5
Suppose -y**2/4 + 8334629*y/4 - 8334627/2 = 0. Calculate y.
2, 8334627
Let -3*h**3 - 64713*h**2 = 0. Calculate h.
-21571, 0
Determine l, given that -300*l**2/7 - 25448*l/7 - 25148/7 = 0.
-6287/75, -1
Determine i so that -i**3/11 + 101*i**2/11 + 1482*i/11 = 0.
-13, 0, 114
Find a, given that 4*a**2 - 423408*a - 746216496 = 0.
-1734, 107586
Let 2*s**2/3 - 164078*s/3 + 17216312 = 0. What is s?
316, 81723
Find d such that 4*d**3 - 7212348*d**2 - 86548804*d + 93761148 = 0.
-13, 1, 1803099
Solve -28*b**2 - 4805840*b + 4119312 = 0 for b.
-171638, 6/7
Let -12*f**4 + 11251833*f**3 + 36568551*f**2 + 30942642*f + 5625936 = 0. What is f?
-2, -1, -1/4, 937656
Suppose -41*g**2/2 - 1793805*g/2 - 306257 = 0. What is g?
-43751, -14/41
Factor 5*s**3 - 17770*s**2 - 53452800*s - 30747094560.
5*(s - 5642)*(s + 1044)**2
Factor 5*d**2 + 25030890*d - 50061800.
5*(d - 2)*(d + 5006180)
Let 2*w**5 - 962*w**4 + 7412*w**3 + 74428*w**2 - 298870*w - 1821050 = 0. What is w?
-5, 7, 11, 473
Let 17*k**3/8 + 6869*k**2/2 - 21025*k/8 - 1617/2 = 0. What is k?
-1617, -4/17, 1
Factor 2*j**2/11 + 643906*j/11 - 5795316/11.
2*(j - 9)*(j + 321962)/11
Determine q so that -3*q**5/4 + 1095*q**4/4 + 3*q**3/4 - 1095*q**2/4 = 0.
-1, 0, 1, 365
Suppose 6*q**3 - 30166276*q**2 - 40221710*q - 10055428 = 0. Calculate q.
-1, -1/3, 5027714
Suppose t**4/3 - 6138*t**3 - 682583*t**2/3 - 639612*t - 1254668/3 = 0. What is t?
-34, -2, -1, 18451
Suppose 8*a**5/11 + 356296*a**4/11 + 52954298*a**3/11 + 1944238476*a**2/11 - 1984132350*a/11 + 499365000/11 = 0. Calculate a.
-44388, -75, 1/2
Factor -4*y**2 + 136923768*y - 1171757390207364.
-4*(y - 17115471)**2
Factor 2*b**3 - 98400*b**2 + 1198525434*b + 290849785436.
2*(b - 24719)**2*(b + 238)
Factor 5*x**3 - 6390*x**2 + 217525*x.
5*x*(x - 1243)*(x - 35)
Suppose -5*k**4 + 2775*k**3 - 72975*k**2 - 423575*k - 347820 = 0. What is k?
-4, -1, 33, 527
Suppose 5*u**3/2 - 400605*u**2/2 + 1802540*u - 1602240 = 0. Calculate u.
1, 8, 80112
Solve 3*t**2 + 261701145*t = 0 for t.
-87233715, 0
Let -3*j**2 + 1811037*j - 182884134 = 0. Calculate j.
101, 603578
Determine m, given that 5*m**2 - 1666335*m + 3332650 = 0.
2, 333265
Factor -2*x**2/3 - 2272032*x + 6816098/3.
-2*(x - 1)*(x + 3408049)/3
Find x, given that 2*x**5/3 + 455048*x**4/3 + 455044*x**3/3 - 455048*x**2/3 - 151682*x = 0.
-227523, -1, 0, 1
Let b**5/9 + 12703*b**4/9 - 216235*b**3/9 + 64337*b**2/9 + 1041546*b - 1026080 = 0. What is b?
-12720, -6, 1, 11
Solve s**4/3 + 4393*s**3 - 2525812*s**2/3 + 3297440*s = 0 for s.
-13368, 0, 4, 185
Find s, given that -2*s**2/3 - 47288*s/3 - 2084642 = 0.
-23511, -133
Find c such that 5*c**4 - 49635*c**3 + 51873315*c**2 - 19020413425*c + 2356564199340 = 0.
377, 8796
Find t such that 4*t**3 - 148*t**2 - 137512*t + 552160 = 0.
-170, 4, 203
What is j in -j**4/5 - 1806*j**3/5 - 1206001*j**2/5 - 352704576*j/5 - 38140527616/5 = 0?
-544, -359
Solve k**3 - 3447*k**2 + 226826*k - 1237080 = 0.
6, 61, 3380
Factor -3*f**3 - 154056*f**2 + 924444*f.
-3*f*(f - 6)*(f + 51358)
Find v such that -4*v**3/5 + 25556*v**2/5 + 127856*v/5 + 153456/5 = 0.
-3, -2, 6394
Determine g so that -2*g**2/3 - 11414438*g/9 - 3804812/9 = 0.
-1902406, -1/3
Determine b so that -9*b**5 - 82455*b**4 - 213456843*b**3 - 112686855237*b**2 - 16791935658840*b + 5609840554800 = 0.
-4260, -321, 1/3
Factor 5*x**2 + 6106585*x - 12213190.
5*(x - 2)*(x + 1221319)
Let 3*z**4 - 25662*z**3 + 563025*z**2 + 742698*z - 3532248 = 0. Calculate z.
-3, 2, 23, 8532
Factor q**4 - 74677*q**3 - 224049*q**2 + 672093*q + 2016360.
(q - 74680)*(q - 3)*(q + 3)**2
Let 3575*t**5 + 93380*t**4 - 185485*t**3 + 75410*t**2 + 14240*t - 1120 = 0. What is t?
-28, -2/11, 4/65, 1
Factor -y**2/2 + 135572*y - 9189883592.
-(y - 135572)**2/2
Let -5*m**2 + 35380*m - 4241940 = 0. What is m?
122, 6954
Suppose -2*r**3/7 + 80193228*r**2/7 + 160386462*r/7 + 11456176 = 0. Calculate r.
-1, 40096616
Factor 4*t**2 + 64382644*t.
4*t*(t + 16095661)
What is w in -3*w**3/4 + 235779*w**2/2 + 943179*w - 2357910 = 0?
-10, 2, 157194
What is y in 2*y**3 - 1190*y**2 + 104974*y + 106166 = 0?
-1, 109, 487
Factor -r**3/7 + 745*r**2/7 + 22278*r/7 + 18576.
-(r - 774)*(r + 8)*(r + 21)/7
Solve 5*p**3 - 42050*p**2 - 180*p + 1513800 = 0.
-6, 6, 8410
Determine g, given that -3*g**4 + 9588*g**3 + 969033*g**2 - 1966818*g + 988200 = 0.
-100, 1, 3294
Let 2*f**4 + 10350256*f**3 + 13390974908192*f**2 = 0. What is f?
-2587564, 0
Determine k so that 5*k**4 + 13360*k**3 + 9134235*k**2 + 1857420180*k - 1866567780 = 0.
-1749, -462, 1
Find j such that 17*j**4 - 81210*j**3 - 239021*j**2 + 100326*j + 258120 = 0.
-3, -1, 18/17, 4780
Factor -2*g**2/19 - 1142788*g/19 - 163245551618/19.
-2*(g + 285697)**2/19
Suppose -4*r**3/3 + 100012*r**2/3 - 5886784*r/3 = 0. What is r?
0, 59, 24944
Solve y**4/5 - 356*y**3/5 + 12867*y**2/5 + 15372*y/5 - 15876 = 0.
-3, 2, 42, 315
Factor -2*r**2/7 - 1922*r/7 + 2070460.
-2*(r - 2254)*(r + 3215)/7
Solve 162*z**4/17 - 231624*z**3/17 - 2149540*z**2/17 - 469096*z/17 - 25902/17 = 0.
-9, -1/9, 1439
What is l in -3*l**5 - 40035*l**4 - 200094*l**3 + 80112*l**2 + 960480*l = 0?
-13340, -4, -3, 0, 2
Let h**2/4 + 158171*h + 28468755/4 = 0. What is h?
-632639, -45
Factor -2*n**2 + 70205936*n - 616109181204512.
-2*(n - 17551484)**2
Suppose 4*s**2 - 7312*s + 258048 = 0. What is s?
36, 1792
Factor m**3/7 - 79704*m**2/7 - 318828*m/7 - 318832/7.
(m - 79708)*(m + 2)**2/7
Find v such that 2*v**5 + 2012*v**4 - 1131232*v**3 + 1127204*v**2 + 1131230*v - 1129216 = 0.
-1408, -1, 1, 401
What is m in -4*m**4 + 8056*m**3/7 + 1098448*m**2/7 - 13953376*m/7 - 4076160/7 = 0?
-110, -2/7, 12, 386
What is k in -2*k**3/19 + 7196*k**2/19 - 7380962*k/19 + 2331854976/19 = 0?
743, 2112
Factor -5434*x**3 - 65201*x**2 + 152236*x - 196.
-(x - 2)*(x + 14)*(5434*x - 7)
Factor 39*t**2 - 309408*t + 785169.
3*(t - 7931)*(13*t - 33)
What is p in 2*p**4/17 + 33410*p**3/17 + 100194*p**2/17 - 300690*p/17 - 901908/17 = 0?
-16702, -3, 3
Suppose v**4 - 1035*v**3 + 73841*v**2 + 772299*v - 1831698 = 0. What is v?
-11, 2, 87, 957
Suppose 2*d**5 - 280*d**4 - 326*d**3 + 46564*d**2 - 129360*d = 0. What is d?
-14, 0, 3, 11, 140
Suppose -b**2 - 428*b + 294093 = 0. Calculate b.
-797, 369
Factor 3*a**3/7 - 1836759*a**2/7 + 281150403909*a/7 - 3092432199153/7.
3*(a - 306121)**2*(a - 11)/7
Factor 3*t**2/7 + 26125248*t/7 + 56877381921792/7.
3*(t + 4354208)**2/7
Factor -x**3/5 + 64*x**2/5 + 437*x/5 - 2244.
-(x - 68)*(x - 11)*(x + 15)/5
Determine r so that -5*r**3/7 + 257072*r**2/7 - 1131044*r/7 + 1233840/7 = 0.
2, 12/5, 51410
Solve 4*u**4/7 + 1021016*u**3/7 + 86889816288*u**2/7 + 352391750930304*u + 123120015886886400/7 = 0 for u.
-85068, -50
Let -3*a**4 + 323726*a**3 - 3560587*a**2 - 3884316*a = 0. Calculate a.
-1, 0, 12, 323693/3
Determine y, given that -y**2/2 + 349069*y/2 + 349071 = 0.
-2, 349071
Determine m, g