035
Factor 58*k**3 - 10502*k**2 + 11164*k - 720.
2*(k - 180)*(k - 1)*(29*k - 2)
Factor -3*a**2 + 31263*a + 31669290.
-3*(a - 11351)*(a + 930)
Factor 5*y**2/6 - 703985*y/2 + 25339140.
5*(y - 422319)*(y - 72)/6
Determine a, given that -a**4 + 6881*a**3 - 6758*a**2 - 839240*a - 825600 = 0.
-10, -1, 12, 6880
Solve -5*j**4 - 13015*j**3 + 250490*j**2 + 3658060*j - 33404280 = 0 for j.
-2622, -14, 7, 26
Suppose 3*s**3 + 10476*s**2 + 8414928*s - 1300204224 = 0. What is s?
-1812, 132
Factor -8*v**3 + 19322*v**2/3 - 1610*v/3.
-2*v*(v - 805)*(12*v - 1)/3
Determine x so that 2*x**3/5 + 58814*x**2/5 - 117634*x/5 + 58818/5 = 0.
-29409, 1
Determine s, given that 4*s**3 - 919736*s**2 + 273814916*s - 20392595344 = 0.
149, 229636
Find f such that -3*f**3/5 + 1758*f**2 - 6800004*f/5 + 521697672/5 = 0.
86, 1422
Factor -2*d**2/7 + 3887970*d/7 - 7775932/7.
-2*(d - 1943983)*(d - 2)/7
Suppose 5*v**3 - 19228665*v**2 + 18486933668280*v + 277308331490700 = 0. Calculate v.
-15, 1922874
Find l such that -2849296*l**3 - 34191554*l**2 - 102574680*l - 72 = 0.
-6, -1/1424648
Find f such that -32*f**2/5 + 372*f + 2860 = 0.
-55/8, 65
Solve -l**5 - 359*l**4 - 16510*l**3 + 421870*l**2 - 1711489*l - 2149511 = 0 for l.
-299, -79, -1, 7, 13
Suppose -3*d**4/2 - 24978*d**3 + 99933*d**2/2 + 74943*d = 0. Calculate d.
-16654, -1, 0, 3
Let -2*j**5 - 2458*j**4 - 699030*j**3 + 35512578*j**2 + 231684624*j + 356765472 = 0. Calculate j.
-636, -3, 49
Suppose 4*z**5 + 730900*z**4 + 33391714492*z**3 + 300477192764*z**2 + 500758778240*z - 834628416400 = 0. Calculate z.
-91358, -5, 1
Determine b, given that -495*b**4 - 56470*b**3 - 700000*b**2 - 300000*b = 0.
-100, -150/11, -4/9, 0
Let -562*x**3/5 - 1294288*x**2/5 - 259666*x - 4604/5 = 0. What is x?
-2302, -1, -1/281
Find a, given that 2155*a**3 + 1400720*a**2 - 1422405*a + 19530 = 0.
-651, 6/431, 1
Let -8*m**4 + 73630*m**3 + 92096*m**2 - 423418*m - 110460 = 0. Calculate m.
-3, -1/4, 2, 9205
Factor u**2/2 + 65340*u - 24244250.
(u - 370)*(u + 131050)/2
Factor p**2/2 - 234974*p + 469947/2.
(p - 469947)*(p - 1)/2
Factor 3*k**2/7 - 9438*k + 2994600.
3*(k - 21700)*(k - 322)/7
Determine j so that j**5/2 - 87*j**4/4 - 5947*j**3/2 - 5133*j**2/4 + 26721*j + 13311 = 0.
-58, -3, -1/2, 3, 102
Factor u**4/10 - 3239749*u**3/5 + 10495967103501*u**2/10 + 2099195364550*u + 1049598006250.
(u - 3239750)**2*(u + 1)**2/10
Factor 2*b**2/9 - 84394*b/9 - 7128704.
2*(b - 42944)*(b + 747)/9
Solve 3*w**4/4 + 4677*w**3/2 + 10936623*w**2/4 + 1420708905*w + 276819525675 = 0.
-789, -770
Determine k so that -724372217522*k**2 + 28887312*k - 288 = 0.
12/601819
Factor -2*c**3/17 + 112076*c**2/17 - 1563946392*c/17 - 173392884720/17.
-2*(c - 28074)**2*(c + 110)/17
Solve z**5 - 44039*z**4 + 792161*z**3 + 9552791*z**2 - 10300914*z = 0 for z.
-9, 0, 1, 26, 44021
Determine r, given that r**5 + 173*r**4 + 6441*r**3 + 90959*r**2 + 490450*r + 665856 = 0.
-128, -17, -9, -2
Determine j so that 2*j**2/3 + 15862*j - 14969412 = 0.
-24702, 909
Factor -f**2 + 45803*f - 503712.
-(f - 45792)*(f - 11)
Find h, given that 2*h**5 - 432*h**4 - 9922*h**3 - 7752*h**2 + 39656*h + 37920 = 0.
-20, -2, -1, 2, 237
Let 2*f**2/9 + 323780*f/3 - 30113462/9 = 0. What is f?
-485701, 31
Suppose -3*s**3 + 686742*s**2 - 39309454155*s + 943031377800 = 0. What is s?
24, 114445
Solve -3*z**2 + 156777*z - 22981392 = 0 for z.
147, 52112
Let i**4 + 1916*i**3 + 1859*i**2 - 107096*i + 275760 = 0. Calculate i.
-1915, -9, 4
Suppose 5*w**5 + 2245520*w**4 + 11227520*w**3 + 20209490*w**2 + 15718475*w + 4490990 = 0. Calculate w.
-449099, -2, -1
Let -10*r**4 + 8922748*r**3 + 35691262*r**2 - 98150728*r + 53536728 = 0. What is r?
-6, 1, 4461394/5
Let m**4 + 380796*m**3 + 36254825342*m**2 + 652469957004*m + 616215512457 = 0. Calculate m.
-190389, -17, -1
Factor 2*c**3 + 1461286*c**2 + 1461280*c - 2922568.
2*(c - 1)*(c + 2)*(c + 730642)
Let 2*b**5/7 - 2722*b**4/7 - 57910*b**3/7 - 185230*b**2/7 + 57908*b/7 + 187952/7 = 0. What is b?
-17, -4, -1, 1, 1382
Find u such that -3*u**2/2 - 13099983*u - 104799768 = 0.
-8733314, -8
Solve -4*i**3 - 322772*i**2 - 6509907532*i + 58615315236 = 0 for i.
-40351, 9
Suppose n**5/2 - 755*n**4/2 - 8583*n**3 + 28009*n**2 - 57523*n/2 + 19425/2 = 0. What is n?
-25, 1, 777
Factor -2*b**3/21 - 583656*b**2/7 - 250138*b/3.
-2*b*(b + 1)*(b + 875483)/21
Let 3*p**4/2 + 32889*p**3/2 + 90348375*p**2/2 + 1108276875*p/2 - 83182359375 = 0. Calculate p.
-5475, -50, 37
What is b in -3*b**3 + 537*b**2 + 13188*b - 117600 = 0?
-28, 7, 200
Find l such that -l**4/5 - 1916*l**3/5 - 267973*l**2/5 + 273726*l/5 + 539784/5 = 0.
-1764, -153, -1, 2
Let -12*l**4/5 + 8337*l**3 - 239082*l**2/5 - 145911*l + 884340 = 0. Calculate l.
-17/4, 5, 3468
Find m, given that -15*m**3 + 5450*m**2 + 162695*m - 168130 = 0.
-86/3, 1, 391
Factor 2*a**2 - 46441764*a + 269604680428962.
2*(a - 11610441)**2
Factor 4*l**2 - 85056440*l + 452162374092100.
4*(l - 10632055)**2
Factor 2*n**2/9 - 449312*n/3 + 25235159168.
2*(n - 336984)**2/9
Find r, given that -2*r**4 + 78598*r**3 - 1075794210*r**2 + 5676864777378*r - 7551561293647668 = 0.
1958, 12447
Find g such that 7*g**5/4 + 9381*g**4/4 + 1109551*g**3/2 - 477246*g**2 = 0.
-1033, -308, 0, 6/7
Factor -5*b**2/4 + 17010235*b/2 + 17010240.
-5*(b - 6804096)*(b + 2)/4
Factor 9436*t**2 - 1773932*t - 6768.
4*(t - 188)*(2359*t + 9)
Factor 5*r**2 - 4980*r + 440020.
5*(r - 898)*(r - 98)
Let -y**5/11 - 1968*y**4/11 - 86842*y**3/11 - 590748*y**2/11 - 743461*y/11 + 1423020/11 = 0. Calculate y.
-1923, -37, -5, -4, 1
Factor -2*q**4 - 2443*q**3 + 80224*q**2.
-q**2*(q - 32)*(2*q + 2507)
What is c in -c**2/7 + 1417949*c/7 - 202564 = 0?
1, 1417948
Let -165*q**5/2 - 6265*q**4 + 118685*q**3 + 11655360*q**2 - 24962605*q/2 + 713605 = 0. Calculate q.
-59, 2/33, 1, 41
Solve -k**5/5 - 784*k**4/5 - 39594*k**3 - 13572144*k**2/5 + 811197531*k/5 + 8679578328 = 0 for k.
-267, -40, 57
Factor 60*w**5 + 204965*w**4 + 17080*w**3.
5*w**3*(w + 3416)*(12*w + 1)
Factor -6*c**2/7 + 154485102*c/7 + 154485108/7.
-6*(c - 25747518)*(c + 1)/7
Suppose 4*j**2/3 + 31137592*j/3 - 20758400 = 0. What is j?
-7784400, 2
Determine q, given that 2*q**3/7 + 118*q**2/7 - 110930*q/7 + 551450/7 = 0.
-269, 5, 205
Factor -4*f**3 - 19073972*f**2 - 38147932*f - 19073964.
-4*(f + 1)**2*(f + 4768491)
Factor 3*q**4 + 300*q**3 + 7689*q**2 + 55188*q - 63180.
3*(q - 1)*(q + 18)**2*(q + 65)
Find p such that 10*p**5/3 - 4046*p**4/3 + 169240*p**3 - 18356864*p**2/3 - 26498240*p/3 - 2543200 = 0.
-1, -2/5, 66, 170
Solve 2*m**5/7 - 236*m**4/7 + 10040*m**3/7 - 179964*m**2/7 + 1087398*m/7 + 182520 = 0 for m.
-1, 20, 21, 39
Determine h so that -2*h**2 + 11400386*h - 11400384 = 0.
1, 5700192
Factor i**2 - 42788*i + 18675027.
(i - 42347)*(i - 441)
What is d in -238*d**2 - 42819774*d - 719660 = 0?
-179915, -2/119
Find q such that -2*q**5/11 + 16272*q**4/11 - 5434626*q**3/11 - 5450900*q**2/11 = 0.
-1, 0, 350, 7787
Factor -g**3/3 - 30658*g**2/3 + 17592695*g/3 - 833566312.
-(g - 283)**2*(g + 31224)/3
What is z in -767*z**5/5 - 39882*z**4/5 + 212563*z**3/5 - 347238*z**2/5 + 35156*z - 456/5 = 0?
-57, 2/767, 1, 2
Factor -4*r**3/5 - 273197312*r**2/5 - 4664798478448884*r/5 - 9329595864108552/5.
-4*(r + 2)*(r + 34149663)**2/5
Factor -5*u**4 - 45210*u**3 + 135675*u**2.
-5*u**2*(u - 3)*(u + 9045)
Factor -2*t**2 - 862462*t - 1724916.
-2*(t + 2)*(t + 431229)
What is s in -470*s**4 - 10614475*s**3 - 79905692520*s**2 - 200509451055680*s + 2133088309760 = 0?
-7528, 1/94
Find q such that 3*q**2/5 - 12777*q/5 + 8852844/5 = 0.
871, 3388
Factor 2*q**2/7 - 308931296*q/7 + 11929818206029952/7.
2*(q - 77232824)**2/7
Factor y**4 - 119276*y**3 + 3557645124*y**2 - 56899423040*y + 227567161600.
(y - 59630)**2*(y - 8)**2
Find q, given that 2*q**2/7 - 9992*q/7 - 88766442/7 = 0.
-4617, 9613
Factor -5*x**3 + 6265*x**2 + 127520*x - 280060.
-5*(x - 1273)*(x - 2)*(x + 22)
Let -8*y**4 + 153*y**3 + 7948*y**2 + 34992*y + 24640 = 0. Calculate y.
-20, -4, -7/8, 44
Factor -d**2/6 + 29584940*d/3 - 437634337401800/3.
-(d - 29584940)**2/6
Determine t so that t**3/2 - 4541*t**2/2 + 1347314*t - 5352960 = 0.
4, 697, 3840
Let -2*c**4 + 142*c**3 + 75984*c**2 + 2012960*c + 11321600 = 0. Calculate c.
-145, -20, -8, 244
Factor s**3 - 4119*s**2 - 66217*s + 235695.
(s - 4135)*(s - 3)*(s + 19)
Factor -m**3 + 10572*m**2 - 27962928*m + 111682624.