89)
Factor -4*f**2/3 - 77718*f - 116576/3.
-2*(f + 58288)*(2*f + 1)/3
Solve -2*c**5/17 + 26*c**4 - 14814*c**3/17 + 59870*c**2/17 + 106544*c/17 - 152040/17 = 0.
-2, 1, 6, 35, 181
Factor 4*z**3 - 14252*z**2 - 28516*z - 14260.
4*(z - 3565)*(z + 1)**2
Factor 9*q**3 + 282*q**2 + 579*q - 870.
3*(q - 1)*(q + 29)*(3*q + 10)
Find t such that 107*t**2/4 - 6523*t/4 - 61 = 0.
-4/107, 61
Determine n, given that n**4 + 532*n**3 - 2144*n**2 = 0.
-536, 0, 4
Factor 5*r**3 + 362540*r**2 - 725100*r.
5*r*(r - 2)*(r + 72510)
Solve -2*l**3/7 + 170*l**2/7 + 172*l/7 = 0 for l.
-1, 0, 86
Factor -4*z**3/3 + 343*z**2/3 + 790*z/3 + 176/3.
-(z - 88)*(z + 2)*(4*z + 1)/3
Factor d**2 - 152*d - 465.
(d - 155)*(d + 3)
Find t such that t**2/6 + 40*t/3 + 511/6 = 0.
-73, -7
Solve -4*u**2 - 868*u + 59840 = 0.
-272, 55
Solve -2*s**2/5 - 19226*s/5 - 19224/5 = 0.
-9612, -1
Factor 35*a**3 + 3375*a**2 - 27680*a - 12480.
5*(a - 8)*(a + 104)*(7*a + 3)
Factor 2*c**2 - 4108*c - 4110.
2*(c - 2055)*(c + 1)
Suppose 130*x**4 + 746675*x**3 + 1072031430*x**2 - 371234720*x - 82483840 = 0. Calculate x.
-2872, -2/13, 1/2
Solve -5*a**2 + 412150*a = 0 for a.
0, 82430
Let 19*y**3/8 + 2835*y**2/8 = 0. Calculate y.
-2835/19, 0
Factor 32*y**2 - 86*y - 300.
2*(y + 2)*(16*y - 75)
Factor 4*x**2 - 85808*x - 85812.
4*(x - 21453)*(x + 1)
Factor -q**2/6 - 808948*q/3 - 327198433352/3.
-(q + 808948)**2/6
Determine o so that -3*o**3/4 - 6561*o**2/2 - 14269851*o/4 + 43283241 = 0.
-2193, 12
Let -5*t**4 - 21780*t**3 - 23740185*t**2 - 47393290*t = 0. Calculate t.
-2177, -2, 0
Factor -25*o**2 - 4355*o + 3500.
-5*(o + 175)*(5*o - 4)
Factor -v**3/3 + 33*v**2/4 - 27*v + 63/4.
-(v - 21)*(v - 3)*(4*v - 3)/12
Let 5832*i**5 - 8353044*i**4 - 6034662*i**3 - 1624887*i**2 - 193449*i - 8598 = 0. What is i?
-2/9, -1/6, 1433
Factor -5*d**4 - 660*d**3 - 5635*d**2 - 12300*d.
-5*d*(d + 4)*(d + 5)*(d + 123)
Factor -2*u**3/9 - 172280*u**2/9 - 344554*u/9 - 172276/9.
-2*(u + 1)**2*(u + 86138)/9
Determine z so that 2*z**5/7 + 122*z**4/7 + 1842*z**3/7 + 1562*z**2 + 3668*z + 2352 = 0.
-42, -7, -4, -1
Determine k, given that 2*k**4 - 42*k**3 - 762*k**2 + 1778*k + 2496 = 0.
-13, -1, 3, 32
Find h such that -25*h**2 - 861085*h - 344430 = 0.
-34443, -2/5
Factor -n**3 + 670*n**2 + 49*n - 32830.
-(n - 670)*(n - 7)*(n + 7)
Determine q so that -4*q**3/7 + 31196*q**2/7 - 62380*q/7 + 31188/7 = 0.
1, 7797
Factor q**3 + 177*q**2 + 3695*q + 3519.
(q + 1)*(q + 23)*(q + 153)
Factor -162*l**3 + 20322*l**2 - 699344*l + 7318696.
-2*(l - 77)*(9*l - 218)**2
Factor 5*r**5 - 1715*r**4 + 15030*r**3.
5*r**3*(r - 334)*(r - 9)
Factor -4*c**2 - 17228*c + 17232.
-4*(c - 1)*(c + 4308)
Suppose -21*q**2 + 2256*q - 963 = 0. What is q?
3/7, 107
What is a in -a**3 - 133*a**2 - 130*a + 264 = 0?
-132, -2, 1
Factor -c**2 - 110*c + 12851.
-(c - 71)*(c + 181)
Find o, given that -2*o**5/5 + 74*o**4/5 - 130*o**3 + 2126*o**2/5 - 2588*o/5 + 208 = 0.
1, 4, 5, 26
Solve -m**2/7 - 164*m/7 + 5820/7 = 0 for m.
-194, 30
Find i such that 18*i**5 + 140*i**4 - 806*i**3 + 1216*i**2 - 664*i + 96 = 0.
-12, 2/9, 1, 2
Determine n, given that 4*n**5 + 556*n**4 + 15164*n**3 - 304204*n**2 + 38304*n + 9357120 = 0.
-76, -5, 9
Solve 68*m**5/7 + 332*m**4 + 340*m**3 - 8900*m**2/7 - 10608*m/7 - 1584/7 = 0 for m.
-33, -2, -1, -3/17, 2
Determine h, given that -3*h**4 - 97699*h**3 - 32564*h**2 + 65132*h = 0.
-32566, -1, 0, 2/3
Determine b, given that 2*b**2/5 - 2016*b/5 + 62464/5 = 0.
32, 976
Determine x so that 2*x**4/5 - 16*x**3/5 - 274*x**2 + 1408*x/5 + 552 = 0.
-23, -1, 2, 30
Find x such that -12*x**4/13 + 4210*x**3/13 - 48250*x**2/13 + 37990*x/13 - 7458/13 = 0.
1/3, 1/2, 11, 339
Factor 3*f**2 - 383865*f - 1151622.
3*(f - 127958)*(f + 3)
Find z, given that -375*z**5/4 + 1755*z**4/2 + 10659*z**3/4 + 9*z**2/2 - 2571*z - 882 = 0.
-2, -1, -2/5, 1, 294/25
Factor p**2/2 + 1009*p/2 + 7944.
(p + 16)*(p + 993)/2
Factor -x**3/4 - 406435*x**2/4 + 101609*x.
-x*(x - 1)*(x + 406436)/4
Let -20*s**5 + 4375*s**4/3 - 102715*s**3/3 + 730610*s**2/3 + 908320*s/3 + 23520 = 0. What is s?
-1, -1/12, 18, 28
Let 2*c**4/5 - 46242*c**3/5 + 92466*c**2/5 + 231202*c/5 - 277428/5 = 0. What is c?
-2, 1, 3, 23119
Factor 2*t**3/5 - 128014*t**2/5 + 2048384016*t/5 + 2048512032/5.
2*(t - 32004)**2*(t + 1)/5
Factor 5*o**4 - 4735*o**3 - 4740*o**2.
5*o**2*(o - 948)*(o + 1)
Factor 2*h**2/9 + 5282*h/3 + 126640/9.
2*(h + 8)*(h + 7915)/9
Factor 2*c**2/3 + 9016*c/9 + 704320/9.
2*(c + 1420)*(3*c + 248)/9
Factor 21*f**3 - 2106*f**2 + 12048*f - 15840.
3*(f - 4)*(f - 2)*(7*f - 660)
Find o such that -14*o**3/15 + 1046*o**2/15 - 13504*o/15 - 3944/15 = 0.
-2/7, 17, 58
Solve 14*k**2/9 + 4426*k/9 + 632/9 = 0.
-316, -1/7
Factor -3*b**2/8 - 543*b/8 - 8151/4.
-3*(b + 38)*(b + 143)/8
Factor j**3/7 - 613*j**2/7 - 19261*j/7 - 18647/7.
(j - 643)*(j + 1)*(j + 29)/7
Factor 2*y**4/7 - 134*y**3/7 - 2*y**2/7 + 134*y/7.
2*y*(y - 67)*(y - 1)*(y + 1)/7
Determine b so that 10*b**4 + 34015*b**3 + 29086235*b**2 + 272699840*b - 474608640 = 0.
-1696, -11, 3/2
Factor -5*w**2 + 1930*w + 17775.
-5*(w - 395)*(w + 9)
Suppose -2*y**3/13 - 2076*y**2/13 + 6242*y/13 - 4164/13 = 0. Calculate y.
-1041, 1, 2
Solve 2*u**3/17 - 930*u**2/17 - 13314*u/17 - 46942/17 = 0.
-7, 479
Factor -1026*v**3 - 2049*v**2 - 1020*v + 3.
-3*(v + 1)**2*(342*v - 1)
Factor k**3/3 + 317*k**2/3 + 14642*k/3 + 115720/3.
(k + 10)*(k + 44)*(k + 263)/3
Determine h so that -5*h**2 + 5005*h + 133510 = 0.
-26, 1027
Factor 3*a**4 - 2127*a**3 + 4230*a**2 + 8508*a - 16968.
3*(a - 707)*(a - 2)**2*(a + 2)
Solve k**5 + 144*k**4 + 5526*k**3 + 19980*k**2 - 285039*k + 514188 = 0.
-69, -12, 3
Factor -v**3/3 - 5*v**2 + 208*v/3 - 64.
-(v - 8)*(v - 1)*(v + 24)/3
Factor -a**2/5 - 11272*a/5 - 258727/5.
-(a + 23)*(a + 11249)/5
Find r, given that 2*r**2 + 2744*r - 2746 = 0.
-1373, 1
Factor 2*h**3/15 + 2314*h**2/15 + 382016*h/15 + 5708056/5.
2*(h + 94)**2*(h + 969)/15
What is c in -c**2 - 818*c + 2463 = 0?
-821, 3
Factor -2*s**2/13 + 154038*s/13 + 154040/13.
-2*(s - 77020)*(s + 1)/13
Factor -5*c**2 - 278950*c - 3890655125.
-5*(c + 27895)**2
Solve 15*s**5 - 7145*s**4 + 171855*s**3 - 214095*s**2 - 58870*s + 108240 = 0 for s.
-2/3, 1, 24, 451
Let -2*r**5/3 + 8*r**4 - 100*r**3/3 + 176*r**2/3 - 46*r + 40/3 = 0. What is r?
1, 4, 5
Determine m, given that 821762*m**4/3 + 3724210*m**3/3 - 626000*m**2 + 75000*m = 0.
-5, 0, 150/641
What is x in -x**3/4 - 35*x**2/4 + 6200*x - 312000 = 0?
-195, 80
Factor -3*d**3/2 - 323931*d**2/2 - 161964*d.
-3*d*(d + 1)*(d + 107976)/2
Factor 3*d**3 - 744*d**2 - 2799*d + 135540.
3*(d - 251)*(d - 12)*(d + 15)
Find s, given that -2*s**2/3 + 31264*s/3 - 122179712/3 = 0.
7816
Let -2*x**4/5 - 914*x**3/5 - 23856*x**2 - 652680*x = 0. Calculate x.
-210, -37, 0
Factor l**3 - 1118*l**2 + 311360*l + 627200.
(l - 560)**2*(l + 2)
Factor 2*v**3 - 220*v**2 + 206*v + 1308.
2*(v - 109)*(v - 3)*(v + 2)
What is d in 4*d**2/5 - 197504*d/5 = 0?
0, 49376
Determine r, given that 3*r**5/8 - 15*r**4/4 - 573*r**3/8 + 102*r**2 + 1479*r/2 + 570 = 0.
-10, -2, -1, 4, 19
Factor -2*l**3/11 - 58*l**2/11 - 52*l/11 + 112/11.
-2*(l - 1)*(l + 2)*(l + 28)/11
Suppose 2*w**2/7 + 222*w/7 - 217620/7 = 0. What is w?
-390, 279
What is y in -2*y**4 + 3872*y**3 + 137902*y**2 + 134028*y = 0?
-34, -1, 0, 1971
Factor 3*c**3 + 32322*c**2 + 86735187*c - 1747656540.
3*(c - 20)*(c + 5397)**2
Factor 2988108818*y**3 - 77306*y**2 + y/2.
y*(77306*y - 1)**2/2
Let -5*d**4 - 235*d**3 - 2750*d**2 - 5220*d + 23400 = 0. What is d?
-30, -13, -6, 2
Suppose c**5/9 + 314*c**4/9 + 1299*c**3 + 10126*c**2/9 - 46780*c/9 - 15176/3 = 0. Calculate c.
-271, -42, -2, -1, 2
Factor 4*s**4 + 244*s**3 + 4608*s**2 + 26000*s + 21632.
4*(s + 1)*(s + 8)*(s + 26)**2
Solve 3*x**3 + 15831*x**2 + 20861280*x - 62726400 = 0 for x.
-2640, 3
Find i, given that 4*i**2/5 - 1368*i/5 + 8064/5 = 0.
6, 336
Suppose -5*j**5 + 225*j**4 + 810*j**3 - 4320*j**2 = 0. What is j?
-6, 0, 3, 48
Find w, given that -5*w**5 + 408*w**4 - 1696*w**3 - 5714*w**2 - 4683*w - 1078 = 0.
-1, -2/5, 7, 77
Factor -3*a**3 - 5514*a**2 - 2528160*a + 5078400.
-3*(a - 2)*(a + 920)**2
Determine w so that -2*w**2/11 + 2832212*w/11 - 1002678101618/11 = 0.
708053
Suppose 20*t**3 + 2895*t**2 - 15620*t + 19500 = 0. What is t?
-150, 2, 13/4
What is p in p**2/6 - 488912*p/3 + 119517471872/3 = 0?
488912
Determine y so that 3*y**2 + 65889*y - 65892 = 0.
