80 = 0. Calculate r.
-1, 65/568, 1/3, 1, 3
Factor 2*a**3 - 3542*a**2 - 1924504*a.
2*a*(a - 2207)*(a + 436)
Factor 1602*g**2/5 - 863511*g/5 + 17787/5.
3*(g - 539)*(534*g - 11)/5
Determine x so that -25*x**5/4 + 989195*x**4/4 - 197811*x**3 - 949628*x**2 + 791344*x - 158268 = 0.
-2, 2/5, 2, 39567
Factor 47310*z**2 + 1324682*z/7 + 8/7.
2*(z + 4)*(165585*z + 1)/7
Suppose 2*p**4/15 + 510440*p**3/3 + 2552198*p**2/15 = 0. Calculate p.
-1276099, -1, 0
Let 2*t**2/17 - 62502*t/17 - 106720 = 0. Calculate t.
-29, 31280
Find x, given that -4615*x**3 + 332350*x**2 + 331855*x - 5110 = 0.
-1, 14/923, 73
What is j in 196*j**5 + 309654*j**4 + 1070201*j**3/4 - 5558339*j**2/4 - 1451217*j/2 - 91582 = 0?
-1579, -116/49, -1/4, 2
Determine y so that -21*y**5/2 + 197982*y**4 + 1301316*y**3 + 3055488*y**2 + 2942424*y + 905376 = 0.
-2, -4/7, 18862
Solve -a**2 + 465174*a - 35812469 = 0.
77, 465097
Suppose -5*x**2 + 761375730*x - 28984650111651645 = 0. Calculate x.
76137573
Determine a so that 45*a**5 + 175*a**4 - 485*a**3 - 1315*a**2 - 700*a = 0.
-5, -1, 0, 28/9
Factor 2*o**2/11 - 1378*o/11 - 50680/11.
2*(o - 724)*(o + 35)/11
Factor 2*c**3/3 + 58*c**2/3 - 4232*c/3 + 15872/3.
2*(c - 31)*(c - 4)*(c + 64)/3
Find x such that 330*x**4 - 137158*x**3 - 50968*x**2 + 89848*x + 3328 = 0.
-1, -2/55, 2/3, 416
Solve 4*o**3 - 156360*o**2 + 12327476*o = 0 for o.
0, 79, 39011
Suppose -3*n**2/4 + 150474*n + 601908 = 0. What is n?
-4, 200636
Solve 5*q**2 - 470260*q + 10343300 = 0.
22, 94030
Suppose 26*o**5/3 - 7199*o**4/3 + 13919*o**3 - 79846*o**2/3 + 46588*o/3 + 2168 = 0. What is o?
-3/26, 2, 271
Determine f so that -f**3/4 - 7939*f**2 - 251251285*f/4 + 6830163675/2 = 0.
-15905, 54
Let 5*c**3 + 59414*c**2 + 285036*c - 427608 = 0. Calculate c.
-11878, -6, 6/5
Factor -3*n**2 + 42389130*n - 149736528513075.
-3*(n - 7064855)**2
Suppose -8132*r**3 - 10552*r**2 + 95164*r + 29040 = 0. What is r?
-4, -605/2033, 3
Factor 4*x**5 + 1260192*x**4 - 12602220*x**3 + 31505800*x**2.
4*x**2*(x - 5)**2*(x + 315058)
Determine v so that -3*v**4 + 8016*v**3 - 7120782*v**2 + 2632876584*v - 350274438903 = 0.
443, 1343
Let -5*x**5 - 545*x**4 + 2945*x**3 + 74105*x**2 - 372900*x = 0. Calculate x.
-113, -12, 0, 5, 11
Suppose 2*s**4 + 548*s**3 - 21350*s**2 - 746576*s - 724680 = 0. Calculate s.
-305, -22, -1, 54
Determine r so that -845239329*r**5/5 + 143690744076*r**4/5 - 5491529805334*r**3/5 - 10712149605068*r**2 + 3684589231*r/5 - 63368/5 = 0.
-8, 1/29073, 89
Factor 4*z**2 + 6637160*z - 33185900.
4*(z - 5)*(z + 1659295)
Factor -u**2/2 - 1779*u - 1011040.
-(u + 710)*(u + 2848)/2
Determine a so that 14*a**4/11 + 20134*a**3/11 + 7771866*a**2/11 + 376516226*a/11 + 38198480 = 0.
-691, -55, -8/7
Factor 5*t**3/2 - 204740*t**2 + 4196756200*t - 200972853120.
5*(t - 40924)**2*(t - 48)/2
Suppose -k**4/8 + 153*k**3/8 + 5949*k**2/2 + 28513*k/2 - 17250 = 0. Calculate k.
-92, -6, 1, 250
What is r in 22*r**3/5 - 1471538*r**2/5 - 2809384*r/5 + 53512 = 0?
-2, 1/11, 66890
Factor -p**2 + 658875*p - 3294350.
-(p - 658870)*(p - 5)
Factor -x**3/2 + 2449*x**2/2 - 1564479*x/2 + 78804495/2.
-(x - 1197)**2*(x - 55)/2
Factor c**4/3 - 1943816*c**3/3 + 419824947720*c**2 - 272022216270408736*c/3 + 544039394656995344/3.
(c - 647938)**3*(c - 2)/3
Factor 3*d**2 + 1243524*d - 1243527.
3*(d - 1)*(d + 414509)
Let -2*i**3 - 40906*i**2/5 - 269516*i/5 + 114352/5 = 0. Calculate i.
-4084, -7, 2/5
Let -m**2/2 + 26698*m + 53397/2 = 0. Calculate m.
-1, 53397
Let 2*l**2/3 + 4568*l + 2398578 = 0. Calculate l.
-6279, -573
Factor w**3/5 - 15252*w**2 + 1453820637*w/5 + 2907946322/5.
(w - 38131)**2*(w + 2)/5
Solve a**5/3 - 5017*a**4/6 + 379597*a**3/3 - 2613319*a**2/6 + 1300396*a/3 - 370826/3 = 0 for a.
1/2, 1, 2, 158, 2347
Solve -g**5 + 131*g**4 - 78*g**3 - 22556*g**2 - 85016*g - 82560 = 0 for g.
-10, -2, 16, 129
Factor -2*v**3/13 + 3038*v**2/13 - 1409760*v/13 + 207100800/13.
-2*(v - 799)*(v - 360)**2/13
Let -2*o**4/5 - 10104*o**3/5 - 491542*o**2/5 - 6244896*o/5 - 5763456/5 = 0. What is o?
-5003, -24, -1
Factor 2*p**3/3 + 2634538*p**2/3 - 13172740*p/3.
2*p*(p - 5)*(p + 1317274)/3
Determine o, given that 2*o**2/5 + 39294*o/5 + 6969544/5 = 0.
-19468, -179
Factor -2*f**2/3 - 9316*f/3 + 328510/3.
-2*(f - 35)*(f + 4693)/3
Factor -s**2 - 10837*s - 281086.
-(s + 26)*(s + 10811)
Factor -p**2/4 - 1697*p/4 + 33687.
-(p - 76)*(p + 1773)/4
Factor -4*c**2/5 + 51928*c/5 + 3438012.
-4*(c - 13305)*(c + 323)/5
What is u in 4*u**3 - 307948*u**2 + 5910179360*u + 647873460544 = 0?
-109, 38548
Find g such that -2*g**3 + 19342*g**2 - 347572*g + 617792 = 0.
2, 16, 9653
Solve b**3 + 9693*b**2 + 154871*b + 377403 = 0 for b.
-9677, -13, -3
Find v such that -5*v**2 - 70339480*v - 247382122333520 = 0.
-7033948
Factor 2*k**4/5 - 3766*k**3/5 - 265336*k**2/5.
2*k**2*(k - 1951)*(k + 68)/5
Factor k**2/3 - 20188105*k/3 - 20188106/3.
(k - 20188106)*(k + 1)/3
Let -4*g**5 - 27228*g**4 - 6671944*g**3 - 422949720*g**2 - 825992500*g - 409687500 = 0. Calculate g.
-6555, -125, -1
What is l in -345*l**2/4 + 3639*l/4 + 6705 = 0?
-5, 1788/115
Solve k**2/10 - 303*k/5 - 210691/10 = 0.
-247, 853
Suppose 5*r**2/6 - 725*r/3 + 19035/2 = 0. Calculate r.
47, 243
Solve 4*d**2/5 - 3745572*d = 0 for d.
0, 4681965
Determine u, given that -4*u**3 + 481508*u**2 - 15405184*u + 123233280 = 0.
16, 120345
Factor 3*i**3/7 + 10029*i**2/7 - 9029376*i/7 + 1818574848/7.
3*(i - 384)**2*(i + 4111)/7
Factor -1659842*h**2 + 14656168*h - 32352968.
-2*(911*h - 4022)**2
Suppose 2*s**2 - 4487482*s - 35899984 = 0. Calculate s.
-8, 2243749
Find b, given that -b**5/7 + 30*b**4/7 + 523*b**3/7 - 1404*b**2 - 142020*b/7 - 432000/7 = 0.
-15, -6, 25, 32
Factor -4*z**3 - 68*z**2 + 147716*z - 1321020.
-4*(z - 179)*(z - 9)*(z + 205)
Let -9*g**5/2 + 69*g**4/2 + 1617*g**3 - 9318*g**2 - 17196*g + 15120 = 0. What is g?
-18, -2, 2/3, 7, 20
Factor -3*v**2/5 + 521751*v/5 + 521766.
-3*(v - 173922)*(v + 5)/5
What is d in -2*d**3/3 + 471*d**2 + 87110*d/3 + 191000 = 0?
-50, -15/2, 764
Factor -2*q**3 - 7060*q**2 + 4776000*q - 743400000.
-2*(q - 300)**2*(q + 4130)
Factor 2*n**2/25 + 1554*n/25 - 369776/25.
2*(n - 191)*(n + 968)/25
Determine d so that -3*d**3/5 + 1103139*d**2/5 - 2206269*d/5 + 1103133/5 = 0.
1, 367711
Find l such that -l**5 - 82*l**4 + 4808*l**3 + 10478*l**2 - 35047*l + 19844 = 0.
-121, -4, 1, 41
Let -z**3 - 1111806*z**2 - 140075649*z - 4412257920 = 0. Calculate z.
-1111680, -63
Solve 5*c**3 + 2862810*c**2 + 20039485*c + 34353300 = 0 for c.
-572555, -4, -3
Suppose 2*i**5/19 - 2366218*i**4/19 - 9464896*i**3/19 - 9464904*i**2/19 = 0. What is i?
-2, 0, 1183113
Let 24*d**2 + 45559*d/2 - 91502 = 0. Calculate d.
-45751/48, 4
Determine h so that -h**4/3 - 1460076*h**3 - 1598872284620*h**2 - 38372654496800*h/3 = 0.
-2190110, -8, 0
Factor 2*d**2 - 2088*d - 289664.
2*(d - 1168)*(d + 124)
Suppose -3*q**5 - 69330*q**4 + 1040439*q**3 - 4301286*q**2 - 831420*q + 24975000 = 0. Calculate q.
-23125, -2, 5, 6
Factor 3*o**3 + 558*o**2 - 200928*o.
3*o*(o - 182)*(o + 368)
Suppose 5*b**4 - 20020*b**3 - 870570*b**2 + 1881180*b + 2731725 = 0. Calculate b.
-45, -1, 3, 4047
What is a in 5*a**2 + 7483150*a + 164626880 = 0?
-1496608, -22
Factor 2*j**4 - 19772520*j**3 - 39545046*j**2 - 19772524*j.
2*j*(j - 9886262)*(j + 1)**2
Let -z**2/3 + 72937*z/3 + 948350/3 = 0. Calculate z.
-13, 72950
Determine w so that -3*w**2/4 + 565212*w + 1130427 = 0.
-2, 753618
Factor o**2 + 12998710*o + 42241615416025.
(o + 6499355)**2
Find l such that 5*l**2/2 + 42984065*l + 85968125/2 = 0.
-17193625, -1
Let 4*a**3/5 + 5976*a**2/5 + 1805996*a/5 + 1800024/5 = 0. Calculate a.
-1074, -419, -1
Factor 2*m**2/15 + 514816*m/15 + 7514182/3.
2*(m + 73)*(m + 257335)/15
Factor -2*a**2/9 + 40816*a/9 - 1751390/9.
-2*(a - 20365)*(a - 43)/9
Solve -103383*m**2/2 + 1861035*m/4 - 1269/4 = 0.
47/68922, 9
Determine f so that 2*f**2/5 + 1533086*f/5 + 52122612/5 = 0.
-766509, -34
Factor 4*n**2 + 297460*n - 1784904.
4*(n - 6)*(n + 74371)
Suppose -3*b**4 + 9789*b**3 - 2708415*b**2 - 9740405937*b - 9737687730 = 0. Calculate b.
-790, -1, 2027
Factor -c**3 + 1053*c**2 - 368736*c + 42949060.
-(c - 385)*(c - 334)**2
Factor -2*l**2/5 - 61066*l/5 + 207740.
-2*(l - 17)*(l + 30550)/5
Suppose -p**5/2 - 244*p**4 - 1209*p**3 - 722*p**2 + 2419*p/2 + 966 = 0. What is p?
-483, -4, -1, 1
Let -3*r**5 + 9360*r**4 - 7573317*r**3 + 42080