, -3/10, 0
Solve -5*z**3 + 585*z**2 - 4195*z - 17985 = 0.
-3, 11, 109
Factor -11*v**2 + 4519*v + 822.
-(v - 411)*(11*v + 2)
Factor 4*d**2 - 78840*d + 1260416.
4*(d - 19694)*(d - 16)
Let 2*a**3/15 + 14*a**2 - 444*a/5 = 0. Calculate a.
-111, 0, 6
What is x in 124*x**3/9 - 506*x**2/3 + 536*x - 120 = 0?
15/62, 6
Determine y so that -2*y**2/3 + 1725824*y/3 - 372308559872/3 = 0.
431456
What is f in -2*f**3/7 - 1086*f**2/7 - 25296*f - 1084328 = 0?
-238, -67
Suppose f**2/6 - f/6 - 12 = 0. What is f?
-8, 9
Factor -3*p**2/2 + 21*p/8 + 3/4.
-3*(p - 2)*(4*p + 1)/8
What is y in -4*y**5 + 1800*y**4 - 202496*y**3 - 1800*y**2 + 202500*y = 0?
-1, 0, 1, 225
Let -s**5 + 85*s**4 + 93*s**3 - 589*s**2 - 1112*s - 516 = 0. Calculate s.
-2, -1, 3, 86
Factor 2*x**3/9 - 118*x**2/3 + 230*x + 1401850/9.
2*(x - 115)**2*(x + 53)/9
Factor 3*x**3/2 - 25761*x**2/2.
3*x**2*(x - 8587)/2
Factor -f**3/4 - 1573*f**2 - 6289*f - 6288.
-(f + 2)**2*(f + 6288)/4
Factor 2*k**4/7 - 1536*k**3/7 + 56202*k**2/7 - 527060*k/7.
2*k*(k - 730)*(k - 19)**2/7
Find c, given that 2*c**2/3 + 1250*c + 29872/3 = 0.
-1867, -8
Determine o so that 5*o**4 + 660*o**3 + 15325*o**2 - 33330*o = 0.
-101, -33, 0, 2
Factor -4*l**3 - 1696*l**2 + 1724*l + 10200.
-4*(l - 3)*(l + 2)*(l + 425)
Let x**3 - 4479*x**2 + 5013120*x + 5017600 = 0. What is x?
-1, 2240
Factor -i**2/3 - 828*i - 4964/3.
-(i + 2)*(i + 2482)/3
Suppose -g**5/5 + 1700*g**4 - 84924*g**3/5 + 203728*g**2/5 + 271808*g/5 - 217344 = 0. Calculate g.
-2, 4, 8490
Let 5*l**5 + 335*l**4 - 98475*l**3 - 198575*l**2 + 98470*l + 198240 = 0. What is l?
-177, -2, -1, 1, 112
Determine x so that 97*x**4/11 - 864*x**3 + 25703*x**2/11 + 166404*x/11 + 3420/11 = 0.
-3, -2/97, 6, 95
What is g in 5*g**4 - 5120*g**3 - 15390*g**2 - 15400*g - 5135 = 0?
-1, 1027
Suppose k**2 + 1452*k + 437076 = 0. What is k?
-1026, -426
Determine q, given that -2*q**3/7 + 15098*q**2/7 - 4069450*q - 28501250/7 = 0.
-1, 3775
Factor -d**2 + 115*d + 4526.
-(d - 146)*(d + 31)
Determine h so that 2*h**2 + 60168*h = 0.
-30084, 0
Determine l, given that -27*l**4 - 35901*l**3 + 192345*l**2 + 140193*l + 24030 = 0.
-1335, -1/3, 6
What is b in -142*b**4/13 + 1132*b**3/13 - 2382*b**2/13 + 104*b + 40/13 = 0?
-2/71, 1, 2, 5
Factor m**4 - 2141*m**3 + 1144897*m**2 + 1151325*m - 2294082.
(m - 1071)**2*(m - 1)*(m + 2)
Find k such that -2*k**5/5 - 1132*k**4/5 + 26716*k**3/5 - 221368*k**2/5 + 749014*k/5 - 808108/5 = 0.
-589, 2, 7
Determine b, given that -3*b**2/5 + 61986*b/5 - 320188683/5 = 0.
10331
Factor 3*r**2 + 129918*r - 649665.
3*(r - 5)*(r + 43311)
Factor -5*g**2/4 - 407*g/2 - 809/4.
-(g + 1)*(5*g + 809)/4
Let 2*v**4/21 + 272*v**3/21 + 1780*v**2/3 + 29008*v/3 + 24010 = 0. Calculate v.
-49, -35, -3
Factor 3*g**4 + 8076*g**3 + 7225200*g**2 + 2128680000*g - 17496000000.
3*(g - 8)*(g + 900)**3
Factor 2*v**4/7 - 4004*v**3 + 14028014*v**2.
2*v**2*(v - 7007)**2/7
Factor -3*j**4 + 2979*j**3 + 111132*j**2.
-3*j**2*(j - 1029)*(j + 36)
Determine u so that 2*u**5/11 + 144*u**4/11 + 2144*u**3/11 + 7044*u**2/11 + 8222*u/11 + 3180/11 = 0.
-53, -15, -2, -1
Determine k so that 2*k**5/5 - 198*k**4/5 + 38*k**3 + 118*k**2 - 192*k/5 - 392/5 = 0.
-1, 1, 2, 98
Factor -2*c**2/7 - 4498*c + 62980/7.
-2*(c - 2)*(c + 15745)/7
Factor -3*s**2/5 - 150816*s - 9477277440.
-3*(s + 125680)**2/5
Suppose 567*h**2 - 495*h + 48 = 0. What is h?
1/9, 16/21
Factor 3*d**3 - 204*d**2 + 1845*d + 2052.
3*(d - 57)*(d - 12)*(d + 1)
Factor 3*w**3 + 1455654*w**2 - 2911317*w + 1455660.
3*(w - 1)**2*(w + 485220)
Determine n, given that 26*n**2/15 - 10696*n/5 + 4936/15 = 0.
2/13, 1234
Suppose c**2 - 18778*c + 18777 = 0. Calculate c.
1, 18777
What is j in 6*j**2 + 501*j - 82917 = 0?
-333/2, 83
Solve -4*u**4 - 616*u**3 - 4692*u**2 - 2720*u + 29200 = 0 for u.
-146, -5, 2
Find s such that -3*s**4 - 12300*s**3 - 12533409*s**2 + 152041200*s - 139495488 = 0.
-2056, 1, 11
Solve i**4/6 - 527*i**3/2 + 6313*i**2/6 - 2629*i/2 + 1577/3 = 0.
1, 2, 1577
Determine d so that -d**4/7 - 310977*d**3/7 - 24176518141*d**2/7 + 24177451077*d/7 + 48353658242/7 = 0.
-155489, -1, 2
Determine l, given that -3*l**3 + 312*l**2 - 1185*l - 1500 = 0.
-1, 5, 100
Factor 10*s**3 - 36788*s**2 - 44158*s - 7360.
2*(s - 3680)*(s + 1)*(5*s + 1)
What is u in 2*u**3/5 + 962*u**2/5 + 10376*u/5 + 3384 = 0?
-470, -9, -2
Solve -2*z**3/3 - 2432*z**2/3 - 248056*z - 979296 = 0 for z.
-606, -4
Suppose -507*t**3/2 + 196287*t**2 - 37799586*t - 76386348 = 0. What is t?
-2, 5046/13
Suppose -3*u**2 - 8274*u - 8271 = 0. Calculate u.
-2757, -1
Find v, given that 3*v**5 + 210*v**4 + 3123*v**3 - 15108*v**2 + 15996*v = 0.
-43, -31, 0, 2
Determine y, given that -y**4/4 + 98633*y**3/4 - 49315*y**2/2 - 49316*y = 0.
-1, 0, 2, 98632
Factor 25*v**2 + 9330*v + 9305.
5*(v + 1)*(5*v + 1861)
Factor -z**4/2 - 24*z**3 - 467*z**2/2 - 210*z.
-z*(z + 1)*(z + 12)*(z + 35)/2
Factor 5*d**4 - 65*d**3 - 6305*d**2 - 6235*d.
5*d*(d - 43)*(d + 1)*(d + 29)
Let 12*f**5 - 4472*f**4 - 1693904*f**3/3 + 949976*f**2 - 444444*f + 190688/3 = 0. Calculate f.
-101, 1/3, 1, 472
Determine b, given that -5*b**3 - 1935*b**2 - 22555*b - 20625 = 0.
-375, -11, -1
Determine m, given that -5*m**5 + 60*m**4 + 280*m**3 - 2370*m**2 - 5315*m - 2730 = 0.
-6, -1, 7, 13
Find q such that -5*q**4/3 - 30*q**3 + 3140*q**2 - 17560*q/3 - 24480 = 0.
-54, -2, 4, 34
Determine m so that -m**4/3 - 152*m**3/3 + 1121*m**2/3 + 424*m = 0.
-159, -1, 0, 8
Find x such that x**4/6 - 101*x**3/3 - 3925*x**2/6 - 3925*x/3 + 5500 = 0.
-15, -5, 2, 220
Determine t, given that 9*t**3/8 + 3*t**2/8 - 33*t/4 - 9 = 0.
-2, -4/3, 3
Solve -f**2/3 - 7519*f/3 + 30092/3 = 0 for f.
-7523, 4
Factor -2*q**4 - 67346*q**3 + 67348*q**2.
-2*q**2*(q - 1)*(q + 33674)
Solve -15*f**5 + 44720*f**4 - 59605*f**3 + 14900*f**2 = 0 for f.
0, 1/3, 1, 2980
Solve -z**4/4 - 531*z**3/4 + 8191*z**2 - 15849*z = 0.
-587, 0, 2, 54
Factor l**2/3 + 3415*l - 10246/3.
(l - 1)*(l + 10246)/3
Factor -s**2/2 - 317*s + 65975/2.
-(s - 91)*(s + 725)/2
Factor -4*m**3/7 - 27028*m**2/7 + 7724*m - 27036/7.
-4*(m - 1)**2*(m + 6759)/7
Determine g so that 3*g**2/2 - 1893*g/2 - 1899 = 0.
-2, 633
Solve 441*a**5 - 10752*a**4 + 37326*a**3 + 26028*a**2 + 5025*a + 300 = 0 for a.
-1/3, -1/7, 5, 20
What is m in -4*m**2/5 - 11652*m = 0?
-14565, 0
Solve -5*j**4 + 400*j**3 - 1090*j**2 - 5080*j + 5775 = 0 for j.
-3, 1, 5, 77
Let -25*p**3 - 31815*p**2 + 76480*p - 25500 = 0. What is p?
-1275, 2/5, 2
Let o**5 + 80*o**4 + 1561*o**3 - 242*o**2 - 4852*o - 3128 = 0. Calculate o.
-46, -34, -1, 2
Let t**2 + 276*t - 33856 = 0. Calculate t.
-368, 92
Factor -1292*q**3 + 87880*q**2 - 1495184*q + 27744.
-4*(q - 34)**2*(323*q - 6)
Determine b so that -b**5/10 + 68*b**4/5 + 719*b**3/10 - 987*b**2/5 = 0.
-7, 0, 2, 141
Suppose -2*j**5/5 - 2*j**4 + 454*j**3/5 - 318*j**2 - 2052*j/5 = 0. What is j?
-19, -1, 0, 6, 9
Determine j, given that -22*j**2/21 + 1462*j/21 + 67860/7 = 0.
-754/11, 135
Find x such that -4*x**3 - 15612*x**2 + 31240*x = 0.
-3905, 0, 2
Solve l**2/2 + 97*l/2 + 1170 = 0 for l.
-52, -45
Solve u**3/6 + 6721*u**2/2 - 40334*u/3 = 0.
-20167, 0, 4
Let -3*g**3/7 + 3*g**2/7 + 267*g/7 + 99 = 0. What is g?
-7, -3, 11
Factor -3*s**2 + 6870*s.
-3*s*(s - 2290)
Factor -2*n**2/9 + 650*n/9 - 856/3.
-2*(n - 321)*(n - 4)/9
Factor 6*x**3 - 2985*x**2 - 57333*x + 29412.
3*(x - 516)*(x + 19)*(2*x - 1)
Find b such that -32*b**5 - 132*b**4 - 109*b**3 + 9*b = 0.
-3, -1, -3/8, 0, 1/4
Factor -5*s**3 + 635*s**2 + 110400*s - 14187780.
-5*(s - 138)**2*(s + 149)
Let i**4/5 - 2134*i**2/5 - 36504*i/5 + 38637/5 = 0. Calculate i.
-27, 1, 53
Factor 200*u**3 - 33440*u**2 + 1589802*u - 15455466.
2*(u - 13)*(10*u - 771)**2
Let -p**4/4 + 5*p**3 + 303*p**2/2 - 1413*p - 6237/4 = 0. What is p?
-21, -1, 9, 33
Factor o**4 + 46*o**3 - 99*o**2 - 144*o.
o*(o - 3)*(o + 1)*(o + 48)
Let p**3 + 7416*p**2 - 44523*p + 66798 = 0. What is p?
-7422, 3
Let 2*m**4/19 - 4240*m**3/19 - 158972*m**2/19 - 73376*m + 81966 = 0. Calculate m.
-19, 1, 2157
Factor -5*z**3 - 31365*z**2 - 49235175*z - 147423375.
-5*(z + 3)*(z + 3135)**2
Factor -4*f**3 + 1272*f**2 + 1284*f - 2552.
-4*(f - 319)*(f - 1)*(f + 2)
Factor 485*u**2/6 - 967*u/6 - 1.
(u - 2)*(485*u + 3)/6
Factor 2*v**3/3 - 236*v**2/3 + 1264*v/3 + 8960/3.
2*(v - 112)*(v - 10)*(v + 4)/3
Let -21*z**4/5 - 268*z**3/5 + 86*z**2/5 + 268*z/5 - 13 = 0. Calculate z.
-13, -1, 5/21, 1
F