6*y**2 = 0.
-276, 0, 1, 62664
Let -314722*k**2 - 7238590*k + 368 = 0. What is k?
-23, 8/157361
Determine x, given that 2*x**2/3 - 16217*x/6 + 1177561/2 = 0.
231, 15293/4
Find p, given that -25*p**5 + 662360*p**4 + 2385085*p**3 - 7021160*p**2 - 21463740*p + 9539280 = 0.
-4, -3, 2/5, 3, 26498
Determine k so that 2*k**2/21 - 112429162*k/21 + 74952772/7 = 0.
2, 56214579
Solve -2*l**4/3 + 830942*l**3/3 - 28767004160*l**2 - 489119121408*l = 0 for l.
-17, 0, 207744
Factor -4*n**4 + 42093548*n**3 - 110741821279040*n**2 + 775190686370800*n.
-4*n*(n - 5261690)**2*(n - 7)
Solve 1764028*b**4 + 8106296*b**3 - 1193504*b**2 - 35005824*b - 18289152 = 0.
-756/251, -4/7, 2
Factor -2*z**2 + 251893010*z - 503786012.
-2*(z - 125946503)*(z - 2)
Factor m**4/3 - 14510*m**3/3 + 53797213*m**2/3 - 2810557980*m + 112556745612.
(m - 7174)**2*(m - 81)**2/3
Let -y**3/3 + 3787*y**2/3 - 3556771*y/3 - 18069005 = 0. What is y?
-15, 1901
Find y such that 11159*y**5 - 345927*y**4 + 3381115*y**3 - 10589285*y**2 + 7541586*y + 1352 = 0.
-2/11159, 1, 4, 13
Factor 5*k**3 + 1830*k**2 + 100795*k + 893970.
5*(k + 11)*(k + 54)*(k + 301)
Suppose v**2/9 + 868*v/9 - 27869/9 = 0. What is v?
-899, 31
Find r such that r**2 + 3888*r + 3589040 = 0.
-2380, -1508
What is p in -2*p**2/9 - 1939382*p/9 - 3878756/9 = 0?
-969689, -2
Let 1276*d**3 + 750280*d**2 - 4704*d = 0. What is d?
-588, 0, 2/319
Factor p**3 - 731*p**2 - 1179321*p - 292441149.
(p - 1589)*(p + 429)**2
Determine g, given that 2*g**2/5 - 352626*g/5 - 493696 = 0.
-7, 176320
Factor o**2/3 - 86765048*o/3 - 28921683.
(o - 86765049)*(o + 1)/3
Factor h**3/9 - 214*h**2/9 + 7304*h/9 - 13760/9.
(h - 172)*(h - 40)*(h - 2)/9
Factor -5*r**2 - 441785*r - 283741850.
-5*(r + 647)*(r + 87710)
Find f, given that 12*f**5 + 4617*f**4 - 167883*f**3 + 1797714*f**2 - 6231264*f + 1448064 = 0.
-419, 1/4, 8, 18
Factor 1077514*d**3 + 4310057*d**2 + 4310060*d + 4.
(d + 2)**2*(1077514*d + 1)
Factor -37044*n**4 + 5920197444*n**3 - 1691482968*n**2 + 161093552*n - 5114080.
-4*(n - 159815)*(21*n - 2)**3
Determine x so that 5*x**5 - 507190*x**4 - 96501475*x**3 - 4585963500*x**2 = 0.
-95, 0, 101628
Factor -g**3/3 + 499*g**2 - 67525*g + 7199479/3.
-(g - 1351)*(g - 73)**2/3
Determine g so that 3*g**2 - 15083520*g + 18959381299200 = 0.
2513920
Determine h, given that h**5/2 + 43610*h**4 + 130825*h**3 - 43610*h**2 - 261651*h/2 = 0.
-87217, -3, -1, 0, 1
What is t in -4*t**3 - 16435628*t**2 - 16882911287424*t + 422083054515600 = 0?
-2054466, 25
Factor 2*b**4 + 33228*b**3 + 137812986*b**2 - 1657346184*b + 4975629768.
2*(b - 6)**2*(b + 8313)**2
Factor -26564*o**2/5 - 55178*o/5 - 820.
-2*(o + 2)*(13282*o + 1025)/5
Factor 789*x**3 - 6987*x**2 - 1026*x.
3*x*(x - 9)*(263*x + 38)
Factor 2*i**3 - 19310212*i**2 + 46610516625400*i + 93221110491664.
2*(i - 4827554)**2*(i + 2)
What is j in 3*j**4 - 4836*j**3 + 66981*j**2 + 217080*j - 2157300 = 0?
-6, 5, 15, 1598
Determine j so that 4*j**4/3 - 313*j**3 - 163282*j**2/3 - 659452*j + 525336 = 0.
-106, -14, 3/4, 354
What is t in 3*t**2/7 - 198810*t/7 + 13108392/7 = 0?
66, 66204
Solve -p**4 + 1472*p**3 + 676025*p**2 + 2014800*p = 0.
-365, -3, 0, 1840
Factor -4*w**2 + 96764*w + 871200.
-4*(w - 24200)*(w + 9)
Factor -36*v**2 - 3069436*v - 3410440.
-4*(v + 85261)*(9*v + 10)
Factor -3*i**2/2 + 11757*i/2 - 3499326.
-3*(i - 3187)*(i - 732)/2
Suppose -2*h**3/5 - 60212*h**2 - 11320904664*h/5 + 657625626576/5 = 0. What is h?
-75294, 58
Solve o**5/4 - 605569*o**4/4 + 61119675447*o**3/2 - 2056351103858561*o**2 + 14393327039507606*o - 24673646287151592 = 0 for o.
3, 4, 201854
What is n in 2*n**4/9 - 8072*n**3/9 + 2768032*n**2/3 - 35665632*n + 180970848 = 0?
6, 34, 1998
Factor 447*v**3/4 - 60479541*v**2/4 - 405903*v/2.
3*v*(v - 135301)*(149*v + 2)/4
Factor -b**2/3 + 23180*b + 69541/3.
-(b - 69541)*(b + 1)/3
Let h**4/4 - 79871*h**3 - 1118219*h**2/2 + 79871*h + 2236437/4 = 0. What is h?
-7, -1, 1, 319491
Determine y, given that 3*y**4/4 - 1237191*y**3/4 - 48254787*y**2/4 - 92797989*y/4 - 11445099 = 0.
-37, -1, 412436
Factor -945808516*l**3 - 1575717233688*l**2 - 409889328*l - 26656.
-4*(l + 1666)*(15377*l + 2)**2
Solve -10*s**5 + 4264*s**4 + 105306*s**3 + 401936*s**2 + 164104*s - 136800 = 0.
-19, -4, -1, 2/5, 450
Factor n**2/7 + 14765*n + 1033450/7.
(n + 10)*(n + 103345)/7
Let 1754*o**3/5 - 1540008*o**2/5 + 7652698*o/5 + 3492 = 0. Calculate o.
-2/877, 5, 873
Factor 2*t**2 + 1920*t + 459232.
2*(t + 452)*(t + 508)
Let -b**2/2 + 35955*b + 359575/2 = 0. Calculate b.
-5, 71915
Let 3*j**2 - 1491*j + 178488 = 0. Calculate j.
201, 296
Factor -6*k**2/5 + 22320*k + 1340064/5.
-6*(k - 18612)*(k + 12)/5
Determine v so that 5*v**2 - 123805*v + 5314370 = 0.
43, 24718
Solve 2*y**3/3 - 194*y**2/3 - 1341616*y + 777685152 = 0.
-1607, 852
Factor -3*b**2 + 575508*b - 183855360.
-3*(b - 191516)*(b - 320)
What is t in -2*t**4/7 + 2039*t**3/7 + 907538*t**2/7 + 2258119*t/7 + 902430/7 = 0?
-333, -2, -1/2, 1355
Let 545754722*r**5 + 43114755190*r**4 + 390225066246*r**3 + 941521384762*r**2 + 227967920*r + 13800 = 0. Calculate r.
-69, -5, -2/16519
Let -25*t**5 + 4895520*t**4 - 3236520329*t**3 + 537129507370*t**2 - 428151329388*t + 85526822552 = 0. What is t?
2/5, 331, 195158
Let 2*b**5/3 + 416*b**4/3 + 3394*b**3 + 18304*b**2/3 - 10184*b/3 - 6240 = 0. What is b?
-180, -26, -2, -1, 1
Factor -4*l**2/5 + 26048*l/5 + 20637456/5.
-4*(l - 7226)*(l + 714)/5
What is z in -z**3/3 + 84291091*z**2/3 - 1776246963347024*z/3 - 1776247047638116/3 = 0?
-1, 42145546
Solve -3*u**3/2 - 94977*u**2/2 - 751766697*u/2 - 751671723/2 = 0.
-15829, -1
Factor 2*q**3/15 + 70412*q**2/15 - 70414*q/15.
2*q*(q - 1)*(q + 35207)/15
Determine j so that -5*j**2 - 585350*j + 263240320 = 0.
-117518, 448
Let -2*a**5/9 + 750970*a**4/9 - 18022496*a**3/9 + 138170608*a**2/9 - 360443360*a/9 + 300368800/9 = 0. Calculate a.
2, 10, 375461
Let 4*s**5 - 204976*s**4 - 2665160*s**3 - 10456160*s**2 - 13736764*s - 5740784 = 0. Calculate s.
-7, -4, -1, 51257
Factor 5*c**3 + 408635925*c**2 + 8349166164348240*c + 8349165755712320.
5*(c + 1)*(c + 40863592)**2
Suppose 2*s**3/7 + 2128514*s**2/7 + 566299130966*s/7 - 1699031491926 = 0. What is s?
-532139, 21
Factor 3*z**2 - 70292676*z + 411755024936748.
3*(z - 11715446)**2
Find f, given that -3*f**5 + 2253*f**4 - 563997*f**3 + 47060247*f**2 + 564000*f - 47062500 = 0.
-1, 1, 250, 251
Solve 2*q**2/7 - 18786436*q/7 + 44116272197762/7 = 0 for q.
4696609
Find l such that 2*l**5/7 + 4012*l**4/7 + 11572*l**3/7 - 894688*l**2/7 - 2704950*l/7 - 1802700/7 = 0.
-2003, -15, -2, -1, 15
Factor -2079365*g**3 - 544793620*g**2 - 35683980145*g + 171610.
-5*(g + 131)**2*(415873*g - 2)
Determine a so that 4*a**3 + 199*a**2 - 127365*a + 1127250 = 0.
-835/4, 9, 150
Factor -5732*t**2/13 + 12158*t/13 - 6426/13.
-2*(t - 1)*(2866*t - 3213)/13
What is b in b**5/6 - 13*b**4/6 - 325*b**3/6 - 455*b**2/6 + 474*b + 858 = 0?
-11, -3, -2, 3, 26
Let -s**2 - 69585*s + 47638314 = 0. What is s?
-70263, 678
Factor -2*u**2 - 972162*u - 7777168.
-2*(u + 8)*(u + 486073)
Determine z so that z**3/3 + 4738532*z**2 + 16840268874799*z + 101041556386418/3 = 0.
-7107797, -2
Factor -3*s**3 - 85600386*s**2 - 610618583477844*s + 3663714582481608.
-3*(s - 6)*(s + 14266734)**2
Factor 5*b**4 + 1720*b**3 + 19120*b**2 - 265600*b.
5*b*(b - 8)*(b + 20)*(b + 332)
Solve 52*p**2/9 - 2596234*p/9 - 576964 = 0 for p.
-2, 1298169/26
Suppose -3*f**2 - 44988*f - 269820 = 0. What is f?
-14990, -6
Suppose 2*x**4/3 - 5702*x**3/3 - 22862*x**2/3 + 62822*x/3 - 11420 = 0. What is x?
-6, 1, 2855
Factor -i**3 + 910199*i**2 - 11832440*i + 20024092.
-(i - 910186)*(i - 11)*(i - 2)
Solve -2*l**2/13 + 12702*l/13 - 13466140/13 = 0.
1345, 5006
Solve -5*n**4 - 213575*n**3 - 29168605*n**2 - 113898145*n - 84943110 = 0.
-42578, -133, -3, -1
Solve 2*q**4 - 268706740*q**3 + 9025414015178450*q**2 = 0.
0, 67176685
Solve -5*l**2 + 198995*l - 17869050 = 0 for l.
90, 39709
Suppose 3*u**2/7 - 910911*u/7 - 37352394/7 = 0. What is u?
-41, 303678
Solve h**2/2 + 4403*h + 775813/2 = 0.
-8717, -89
Find p, given that 4235*p**5 + 51085*p**4 + 135140*p**3 - 35180*p**2 - 125200*p - 30080 = 0.
-8, -4, -94/121, -2/7, 1
What is u in 2*u**2/15 - 721036*u/15 + 1442032/3 = 0?
10, 360508
Factor -d**3/5 + 314744*d**2/5 - 1258964*d/5 + 251792.
-(d - 314740)*(d - 2)**2/5
Determine v, given that -v**4 + 410*v