05
Determine p so that -2*p**2 - 2667532*p = 0.
-1333766, 0
Find k, given that 60*k**5 + 21445*k**4 - 130385*k**3 - 3207005*k**2 - 7205475*k + 2003760 = 0.
-363, -23/3, -3, 1/4, 16
Factor -18*a**2/7 - 5100170*a/7 + 1133372/7.
-2*(a + 283343)*(9*a - 2)/7
Let -60*b**5 - 6124*b**4 + 37932*b**3 - 55524*b**2 + 22048*b + 1728 = 0. Calculate b.
-108, -1/15, 1, 4
Let d**5/7 - 32*d**4 - 71042*d**3/7 + 15816964*d**2/7 + 80557321*d/7 + 64669540/7 = 0. Calculate d.
-265, -4, -1, 247
Determine t so that -3*t**5 + 15534*t**4 - 19952034*t**3 - 407829336*t**2 + 3300259581*t + 3688121346 = 0.
-26, -1, 7, 2599
What is s in -s**2 - 33680*s - 303039 = 0?
-33671, -9
Suppose 2*w**2/9 + 38240360*w/9 + 182790641616200/9 = 0. What is w?
-9560090
Find s, given that -2*s**5/9 + 2356*s**4/3 + 328406*s**3/9 + 379768*s**2 - 1030656*s - 1374720 = 0.
-24, -1, 3, 3580
Factor -2*p**5 - 77850*p**4 - 757772400*p**3 - 3786916000*p**2.
-2*p**2*(p + 5)*(p + 19460)**2
Find u, given that 2*u**4 + 1191498*u**3 + 17872170*u**2 + 89360350*u + 148933500 = 0.
-595734, -5
Let 115*c**2/4 - 595*c/2 + 480 = 0. What is c?
2, 192/23
Solve 2*g**2 - 8278*g - 78567540 = 0 for g.
-4531, 8670
Find t, given that -t**5 + 11694*t**4 - 34257404*t**3 + 408694818*t**2 + 2080593405*t + 1637629488 = 0.
-3, -1, 16, 5841
Determine f, given that 40*f**3 + 317815*f**2 + 631825810*f + 2128793535 = 0.
-3971, -27/8
Factor -3*x**3 - 14556*x**2 + 14565*x + 29118.
-3*(x - 2)*(x + 1)*(x + 4853)
Let 2*o**2/9 + 7474258*o/9 + 7474256/9 = 0. What is o?
-3737128, -1
Determine u so that u**4 + 9184*u**3 + 301430*u**2 - 5061088*u - 5353335 = 0.
-9151, -45, -1, 13
Suppose -2*x**4/7 + 2076*x**3/7 - 200880*x**2/7 = 0. Calculate x.
0, 108, 930
Factor -5*q**2 + 4065*q + 26727570.
-5*(q - 2754)*(q + 1941)
Factor 100*s**3/7 + 2443320*s**2/7 - 1954704*s/7 + 390944/7.
4*(s + 24434)*(5*s - 2)**2/7
Let 4*p**3 + 106644*p**2 + 697784076*p - 174415942564 = 0. Calculate p.
-13451, 241
What is v in -30*v**5 + 15113*v**4 - 86451*v**3 + 148054*v**2 - 73716*v + 5976 = 0?
1/10, 2/3, 2, 3, 498
Suppose k**5/6 + 316*k**4/3 - 6546*k**3 - 949*k**2/3 + 116555*k/6 + 13091 = 0. Calculate k.
-689, -1, 2, 57
Factor -2*d**2/5 - 85466826*d/5 - 170933644/5.
-2*(d + 2)*(d + 42733411)/5
Find i, given that -637*i**5/4 - 1273*i**4/2 + 460555*i**3/2 - 2930286*i**2 - 12604473*i/4 + 19845/2 = 0.
-45, -1, 2/637, 21
Factor -2*g**3/19 - 731342*g**2/19 + 1462690*g/19 - 731346/19.
-2*(g - 1)**2*(g + 365673)/19
Determine c, given that -5*c**2 - 185408950*c - 1718823937005125 = 0.
-18540895
Let -y**2/4 - 8169551*y/2 - 66741563541601/4 = 0. Calculate y.
-8169551
Factor -2*x**3/3 - 9901366*x**2/3 - 4084875377520*x + 4084878677976.
-2*(x - 1)*(x + 2475342)**2/3
Suppose -3*q**2 + 26055222*q = 0. What is q?
0, 8685074
Suppose -p**5/3 - 487*p**4 - 198296*p**3 - 44888312*p**2/3 - 346627568*p - 1383552240 = 0. What is p?
-686, -42, -5
Determine i, given that -2*i**3/15 + 1021172*i**2/5 - 391048116264*i/5 + 2346276443536/15 = 0.
2, 765878
Find q such that -2*q**4/3 - 504958*q**3/3 + 1009922*q**2/3 - 504962*q/3 = 0.
-252481, 0, 1
Factor 2*u**3/7 + 2157564*u**2/7 - 17261184*u + 241659712.
2*(u - 28)**2*(u + 1078838)/7
Let -z**2/7 + 33184*z/7 - 1027743/7 = 0. Calculate z.
31, 33153
Let c**3/7 + 126401*c**2/7 + 2994557*c + 869632915/7 = 0. Calculate c.
-126235, -83
Factor 3*j**3 - 151572*j**2 - 1970943*j.
3*j*(j - 50537)*(j + 13)
Factor b**3 - 1542*b**2 - 39129*b - 72082.
(b - 1567)*(b + 2)*(b + 23)
Find y, given that 1424391938*y**2/7 - 12489516*y/7 + 27378/7 = 0.
117/26687
Solve -3*b**5/2 + 28425*b**4/2 + 129*b**3/8 - 611025*b**2/4 - 2131767*b/8 - 255825/2 = 0.
-3/2, -1, 4, 9475
Suppose 2*c**5 - 428*c**4 - 359080*c**3 + 117310000*c**2 - 3640000000*c - 1092500000000 = 0. What is c?
-460, -76, 250
Let 45*s**5 - 3995*s**4 - 264680*s**3 - 1064280*s**2 - 1212400*s - 219760 = 0. Calculate s.
-41, -2, -2/9, 134
Suppose -8*l**2 + 49157082*l/5 - 2457854/5 = 0. Calculate l.
1/20, 1228927
Factor 2*j**2/7 - 738082*j/7 - 2108920.
2*(j - 369061)*(j + 20)/7
Factor -10*u**3/9 - 205156*u**2/9 - 109408*u/3.
-2*u*(u + 20514)*(5*u + 8)/9
Solve s**3/2 + 58385*s**2 + 350303*s/2 + 116767 = 0 for s.
-116767, -2, -1
Let -4*n**2/7 + 2346796*n/7 - 14080632/7 = 0. What is n?
6, 586693
Factor -2*k**2/7 - 568286*k/7 + 70498216/7.
-2*(k - 124)*(k + 284267)/7
Factor -5*m**3 - 595*m**2 - 17990*m - 156000.
-5*(m + 16)*(m + 25)*(m + 78)
Suppose -10*s**4/7 - 298*s**3/7 + 370*s**2/7 - 62*s/7 = 0. Calculate s.
-31, 0, 1/5, 1
Factor 4*i**2/5 + 23004*i/5.
4*i*(i + 5751)/5
Determine a so that -2*a**2/7 + 68722*a/7 + 68736 = 0.
-7, 34368
Factor 2*h**2 + 66336*h - 180249650.
2*(h - 2525)*(h + 35693)
Factor 3*i**2 + 92064*i - 368304.
3*(i - 4)*(i + 30692)
Determine x so that -4*x**4 + 3827876*x**3 + 19139532*x**2 - 49762676*x + 26795272 = 0.
-7, 1, 956974
Find i such that i**3 + 573455*i**2 + 82212945983*i + 82212372529 = 0.
-286727, -1
What is g in -16*g**4/9 - 36994*g**3/9 - 366596*g**2/3 - 9979138*g/9 - 24683464/9 = 0?
-18257/8, -13, -4
Factor -2*g**2/13 + 11581162*g/13 + 11581164/13.
-2*(g - 5790582)*(g + 1)/13
Determine f, given that 11*f**4/4 - 195*f**3/2 + 3405*f**2/4 + 1235*f/2 - 8664 = 0.
-3, 38/11, 16, 19
Determine a so that 11*a**4 + 1964*a**3/3 + 13204*a**2/3 + 16064*a/3 + 832 = 0.
-52, -6, -4/3, -2/11
Suppose -4*q**4 + 296800*q**3 - 24311020*q**2 + 23420640*q + 48028464 = 0. What is q?
-1, 2, 81, 74118
Factor -5*q**4 + 197365*q**3 - 2032228155*q**2 + 1650795030315*q.
-5*q*(q - 19293)**2*(q - 887)
Find i such that i**3/2 + 3312*i**2 + 52846*i - 118944 = 0.
-6608, -18, 2
What is l in 3*l**3/4 - 640725*l**2/4 + 34216155981*l/4 - 581489496891/4 = 0?
17, 106779
Suppose 3*d**5/2 + 6567*d**4/2 + 26142*d**3 - 65430*d**2 = 0. Calculate d.
-2181, -10, 0, 2
Factor -3*h**2/5 + 102549*h/5 + 10447122.
-3*(h - 34685)*(h + 502)/5
Suppose -4*u**4 + 29004*u**3 - 2352388*u**2 + 6854196*u - 4530808 = 0. Calculate u.
1, 2, 79, 7169
Factor -i**4/3 + 11912*i**3/3 - 355560*i**2 + 10648800*i - 106398000.
-(i - 11822)*(i - 30)**3/3
Solve 5*j**5 + 115*j**4 + 225*j**3 - 1595*j**2 - 1750*j + 3000 = 0.
-20, -5, -2, 1, 3
Find j such that -21*j**5 - 1740*j**4 + 1051296*j**3/7 + 12276864*j**2 - 14176512*j + 4064256 = 0.
-84, 4/7, 84
Factor 4*d**2 - 5489188*d + 10978360.
4*(d - 1372295)*(d - 2)
Solve -2*o**4/11 - 292*o**3/11 + 398174*o**2/11 + 1999552*o/11 - 2397432/11 = 0 for o.
-523, -6, 1, 382
Suppose -4*y**2 + 19244144*y + 38488304 = 0. Calculate y.
-2, 4811038
Solve -3*j**4 - 15924*j**3 - 3590259*j**2 + 3638046*j + 7212384 = 0 for j.
-5072, -237, -1, 2
Let 105*s**5 + 3470*s**4 + 11400*s**3 - 93650*s**2 + 74895*s + 3780 = 0. Calculate s.
-28, -9, -1/21, 1, 3
What is v in -3*v**2 - 8889*v - 1463700 = 0?
-2788, -175
Factor -2*i**4 - 31668*i**3 + 6186422*i**2.
-2*i**2*(i - 193)*(i + 16027)
Let -5*m**4/3 - 36365*m**3/3 - 4573435*m**2/3 - 4537075*m/3 = 0. What is m?
-7145, -127, -1, 0
Let -6*u**2/11 - 2844450*u/11 + 65425524/11 = 0. Calculate u.
-474098, 23
Factor o**3/3 - 16685*o**2/3 + 16676*o + 100092.
(o - 16682)*(o - 6)*(o + 3)/3
Suppose -5*c**5 - 53195*c**4 - 212665*c**3 + 372395*c**2 + 1808070*c + 1276200 = 0. What is c?
-10635, -4, -2, -1, 3
What is b in -b**4/2 + 135119*b**3/2 - 4538027799*b**2/2 - 1776564082811*b/2 + 890550987746 = 0?
-388, 1, 67753
Suppose -u**2/3 - 32161906*u/3 - 258597049388209/3 = 0. Calculate u.
-16080953
Factor i**4/3 + 5345*i**3/3 - 9272396*i**2/3.
i**2*(i - 1379)*(i + 6724)/3
Solve -9*n**5 + 47275860*n**4 - 15758619*n**3 = 0 for n.
0, 1/3, 5252873
Let 47089*u**4/6 - 3358943*u**3 + 1478220493*u**2/6 + 2270906*u + 15698/3 = 0. Calculate u.
-1/217, 94, 334
Factor 2*p**2 + 537980*p - 113602822.
2*(p - 211)*(p + 269201)
Determine x, given that 3*x**2 - 5298*x + 2317899 = 0.
799, 967
Determine p so that -p**4/4 + 77155*p**3/4 - 983076*p**2 = 0.
0, 51, 77104
Solve -3*o**4 + 1634646*o**3 - 222678833931*o**2 + 1781352209208*o - 3562652110512 = 0 for o.
4, 272437
Factor -3*h**2/4 + 6075255*h/2.
-3*h*(h - 4050170)/4
Solve 5*v**5 + 700*v**4 - 36850*v**3 + 641300*v**2 - 4824875*v + 13469720 = 0 for v.
-184, 11
Solve -25*p**3/2 + 574158455*p**2/2 - 688990119*p/2 + 206697033/2 = 0.
3/5, 22966337
Suppose k**5/3 - 12252*k**4 + 337051358*k**3/3 + 12863991908*k**2/3 - 8912996957*k + 13537984360/3 = 0. Calculate k.
-40, 1, 183