892*y**2/3 - 1337*y/2 + 8085 = 0.
-3, 7, 10, 33
Factor j**2/3 + 8538894*j + 54684533057427.
(j + 12808341)**2/3
Determine s so that -5*s**2/6 + 434690*s/3 + 869390/3 = 0.
-2, 173878
Find x, given that 4*x**3 - 8716*x**2 - 211056*x - 951696 = 0.
-18, -6, 2203
Let 3*o**3/5 + 19707*o**2/5 - 222600*o = 0. What is o?
-6625, 0, 56
Find m, given that -5*m**5/4 + 1427*m**4/4 - 1150*m**3 - 13697*m**2 + 5640*m = 0.
-5, 0, 2/5, 8, 282
Factor -5*f**3 - 3439760*f**2 - 591569923840*f + 9465999380480.
-5*(f - 16)*(f + 343984)**2
Solve 4*o**2/5 - 40604932*o/5 + 40604928/5 = 0.
1, 10151232
Solve 2*x**2/13 + 6046*x/13 - 14830956/13 = 0.
-4626, 1603
Solve -5*r**5 - 800*r**4 + 36155*r**3 - 513430*r**2 + 2751360*r - 3725280 = 0 for r.
-199, 2, 12, 13
Factor -o**2/8 + 5645*o/8 + 3230741/2.
-(o - 7393)*(o + 1748)/8
What is q in 3*q**2 - 1828998*q - 1829001 = 0?
-1, 609667
Factor -9*b**2 + 26937516*b + 17958348.
-3*(b - 2993058)*(3*b + 2)
Factor 5*j**2/3 - 3729425*j/3 - 2486290.
5*(j - 745887)*(j + 2)/3
Factor -w**3/4 + 2424*w**2 + 67911*w/4 + 48515/2.
-(w - 9703)*(w + 2)*(w + 5)/4
Factor -3*o**2/4 - 2216475*o/4 - 6649317.
-3*(o + 12)*(o + 738813)/4
Solve -2*p**3 - 36144*p**2 + 9794328*p - 658626080 = 0 for p.
-18340, 134
Factor -4*m**3 - 1242440*m**2 - 96494721792*m - 2508022947456.
-4*(m + 26)*(m + 155292)**2
Solve 5*h**2 - 43195*h - 1169910 = 0 for h.
-27, 8666
Solve 40*a**3 + 4506*a**2 + 3347*a - 1119 = 0.
-1119/10, -1, 1/4
Determine l so that 1037*l**2/2 - 12277*l/2 + 4785 = 0.
870/1037, 11
Solve 4*m**3 - 1060738720*m**2 - 2121477452*m - 1060738728 = 0 for m.
-1, 265184682
Suppose a**4/4 + 85873*a**3 - 7557187*a**2/4 + 20782597*a/2 = 0. What is a?
-343514, 0, 11
Factor -3*h**3 - 4122822*h**2 - 1416471770307*h.
-3*h*(h + 687137)**2
Factor 2*n**3 + 5304*n**2 + 3300570*n + 599614028.
2*(n + 403)**2*(n + 1846)
Suppose -5*u**2 - 1897925*u + 7591780 = 0. What is u?
-379589, 4
Factor g**3/8 - 20229*g**2/8 - 462303*g/2 + 233680.
(g - 20320)*(g - 1)*(g + 92)/8
Determine d so that 3*d**2/5 + 103053*d/5 - 3817068/5 = 0.
-34388, 37
Solve -20*r**5 - 43955*r**4 - 4146990*r**3 - 3074545*r**2 + 1028510*r = 0.
-2099, -98, -1, 0, 1/4
Factor 3*v**2/8 - 485559*v/8 - 3156387/4.
3*(v - 161866)*(v + 13)/8
Suppose 4*j**2 - 58036*j + 1274856 = 0. What is j?
22, 14487
Determine p so that -2*p**4/5 - 26948*p**3/5 + 323582*p**2/5 - 1105792*p/5 + 161832 = 0.
-13486, 1, 5, 6
What is d in -3*d**5 + 6018*d**4 + 431073*d**3 + 10105932*d**2 + 81925680*d + 72244800 = 0?
-29, -20, -1, 2076
Determine x, given that -x**4 - 1186*x**3 - 18768*x**2 - 56160*x = 0.
-1170, -12, -4, 0
Determine b so that 4*b**5 + 28612*b**4 - 458448*b**3 + 2637296*b**2 - 6422656*b + 5505792 = 0.
-7169, 2, 4, 6
Determine l so that -4*l**2 + 57372*l + 31592376 = 0.
-531, 14874
Factor 2*s**2/9 + 184390*s/9 + 737528/9.
2*(s + 4)*(s + 92191)/9
What is y in -2*y**2/5 - 192162*y/5 - 2497768/5 = 0?
-96068, -13
Factor -7185417996969*b**2/4 - 2680563*b - 1.
-(2680563*b + 2)**2/4
Solve 3*p**3 - 28443*p**2/7 + 68970*p/7 - 24336/7 = 0 for p.
3/7, 2, 1352
Suppose 274202*o**3/7 + 13161692*o**2/7 + 111600022*o/7 - 1628/7 = 0. What is o?
-37, -11, 2/137101
Find t such that 5*t**2/4 + 445*t/2 - 1488880 = 0.
-1184, 1006
Factor -3*o**4 + 5160*o**3 - 1344450*o**2 - 751941000*o - 63707326875.
-3*(o - 1005)**2*(o + 145)**2
Factor -38*d**2/11 - 112666*d/11 + 11860/11.
-2*(d + 2965)*(19*d - 2)/11
Find h such that 3*h**4 - 45414*h**3 + 174751203*h**2 - 21813252480*h + 692121907200 = 0.
64, 7505
Factor y**3 + 4701*y**2 + 896486*y + 2647176.
(y + 3)*(y + 196)*(y + 4502)
Factor -2*g**2 - 1867916*g + 52303216.
-2*(g - 28)*(g + 933986)
Factor -2*f**2 - 1127029*f/5 + 2254098/5.
-(f - 2)*(10*f + 1127049)/5
Factor b**2/5 - 2565112*b/5 + 1644949893136/5.
(b - 1282556)**2/5
Suppose 3*r**2 - 30896922*r + 79551649089507 = 0. Calculate r.
5149487
Suppose -3*y**5 - 9*y**4 + 133569*y**3 + 667833*y**2 + 934938*y + 400680 = 0. Calculate y.
-210, -3, -1, 212
Solve 63*k**5 - 7940*k**4 + 179424*k**3 + 441360*k**2 - 22028912*k + 698880 = 0.
-10, 2/63, 14, 26, 96
Determine f so that -2*f**2/11 - 159392*f/11 - 1434366/11 = 0.
-79687, -9
Solve l**2/6 - 76299991*l/3 + 5821688626600081/6 = 0.
76299991
Solve -90*b**5 - 37362*b**4 - 582392*b**3/5 - 606976*b**2/5 - 210944*b/5 = 0 for b.
-412, -16/15, -1, 0
Factor -y**3 + 67971*y**2 + 271897*y + 203925.
-(y - 67975)*(y + 1)*(y + 3)
Suppose 18180450*c**4/17 - 181816560*c**3/17 + 17118106*c**2 - 192980*c/17 + 32/17 = 0. Calculate c.
1/3015, 2, 8
Solve -7*k**5/6 + 32328*k**4 + 3549295*k**3/6 - 1538750*k**2/3 - 1423358*k - 1053664/3 = 0.
-19, -1, -2/7, 2, 27728
Solve 2*k**2/5 + 59605176*k/5 + 444097125748872/5 = 0 for k.
-14901294
Factor h**3 + 38242*h**2 + 365574396*h - 731301768.
(h - 2)*(h + 19122)**2
Factor 2*o**4 + 267784*o**3 + 1071112*o**2 + 1071104*o.
2*o*(o + 2)**2*(o + 133888)
Factor u**3/3 - 932*u**2/3 - 368448*u.
u*(u - 1616)*(u + 684)/3
Suppose 30926*g**5/3 + 122294*g**4/3 - 3194*g**3 - 5418*g**2 - 648*g = 0. Calculate g.
-4, -9/47, 0, 3/7
Solve 2*v**2/3 + 16421104*v/3 + 33706582072352/3 = 0.
-4105276
Solve 5*j**3/3 - 761348*j**2/3 - 4111415*j/3 - 1522750/3 = 0.
-5, -2/5, 152275
Let -45*x**5 - 2620*x**4 + 4505*x**3 + 429620*x**2 - 335700*x - 95760 = 0. What is x?
-57, -14, -2/9, 1, 12
Factor -j**2/2 - 166011*j/8 - 1987524.
-(j + 96)*(4*j + 165627)/8
Find z, given that 2*z**4/7 - 5076696*z**3 - 71073752*z**2/7 = 0.
-2, 0, 17768438
Solve -p**2/4 + 6342405*p/2 - 40226101184025/4 = 0.
6342405
Factor u**3/2 + 473*u**2 - 654855*u/2 - 313692246.
(u - 812)*(u + 879)**2/2
Factor -209*n**2/3 - 49393*n + 1418/3.
-(n + 709)*(209*n - 2)/3
Find l such that -2*l**4/11 - 7586*l**3/11 - 657040*l**2 - 5857632*l = 0.
-1892, -9, 0
Let -3*k**3/7 + 3363*k**2/7 - 129597*k/7 - 132963/7 = 0. What is k?
-1, 41, 1081
Factor 4*n**3 + 43520*n**2 + 144543668*n + 133284833608.
4*(n + 1522)*(n + 4679)**2
Factor -3*s**2 + 514083*s - 115516800.
-3*(s - 171136)*(s - 225)
Suppose j**5/2 + 25943*j**4/2 + 155579*j**3 - 181523*j**2 - 311159*j/2 + 337103/2 = 0. What is j?
-25931, -13, -1, 1
Find i, given that 2*i**4 + 10208*i**3 + 1271828*i**2 + 38148240*i - 126166950 = 0.
-4977, -65, 3
Factor -5*y**2 - 32983875*y + 32983880.
-5*(y - 1)*(y + 6596776)
Solve 3*z**2 + 82365*z + 25325352 = 0 for z.
-27144, -311
Suppose -5*i**5 + 230*i**4 + 10595*i**3 - 304520*i**2 - 3824700*i = 0. Calculate i.
-38, -10, 0, 33, 61
Factor -k**2/4 + 103831*k/4 - 103827.
-(k - 103827)*(k - 4)/4
Suppose 2*d**4 - 2852*d**3 - 26952*d**2 + 1617572*d - 10765370 = 0. What is d?
-31, 11, 1435
Find q, given that -10*q**3 - 3021175*q**2 + 7552990*q - 3021200 = 0.
-302120, 1/2, 2
Factor 4*i**2 + 393484*i + 5507992.
4*(i + 14)*(i + 98357)
Let -y**4/3 - 31*y**3 - 826*y**2/3 + 5584*y - 29440/3 = 0. What is y?
-80, -23, 2, 8
Factor -2*r**2 - 858870*r - 2576592.
-2*(r + 3)*(r + 429432)
Let 2*y**4/11 - 2348*y**3/11 - 4800*y**2/11 + 112896*y/11 = 0. What is y?
-8, 0, 6, 1176
What is b in 2*b**5/5 + 568*b**4/5 + 32738*b**3/5 - 1110692*b**2/5 + 2120888*b/5 - 1043504/5 = 0?
-154, 1, 22
Find y, given that y**3 - 627*y**2 - 136458*y = 0.
-171, 0, 798
Factor 72471*p**2 + 11812770*p - 489.
3*(p + 163)*(24157*p - 1)
Factor 87*f**2 - 5767*f + 7280.
(f - 65)*(87*f - 112)
What is r in -r**5 + 82112*r**4 - 1686005649*r**3 + 16854144890*r**2 - 47187139276*r + 40444430424 = 0?
2, 6, 41051
Solve -5*k**4 + 22290*k**3 - 863865*k**2 + 9549900*k - 21476340 = 0 for k.
3, 18, 4419
Solve 5*q**2/2 - 6675*q/2 + 433985 = 0.
146, 1189
Suppose 3*b**2 - 163422*b - 28032885 = 0. What is b?
-171, 54645
Find n, given that 2*n**3/11 - 215680*n**2/11 + 5805447466*n/11 + 500864923468/11 = 0.
-86, 53963
Find d such that -28*d**2/5 + 2679076*d - 5740872/5 = 0.
3/7, 478406
Find s such that -4*s**3 - 61560*s**2 - 139408128*s - 85982902272 = 0.
-12798, -1296
What is k in -5*k**2 + 528805*k + 99592060 = 0?
-188, 105949
Let -31*u**5 + 1075*u**4 + 1632*u**3 - 5616*u**2 = 0. Calculate u.
-3, 0, 52/31, 36
Factor -51*u**3 + 6321*u**2 + 26100*u.
-3*u*(u + 4)*(17*u - 2175)
Let 119282*p**2/7 + 119236*p/7 - 46/7 = 0. Calculate p.
-1, 23/59641
Suppose 3*n**5 - 5882589*n**4 + 2883734837265*n**3 + 2883770132841*n**2 - 14418721247136*n + 8651222159616 = 0. What is n?
-3, 1, 980432
Factor -5*q**3 - 10227525*q**2.
-5*q**2*(q + 2045505)
Solve -2*o**