4 = 0.
-462, 92
Suppose -h**5/7 + 3407*h**4/7 + 10228*h**3/7 + 6820*h**2/7 = 0. What is h?
-2, -1, 0, 3410
Solve 2*f**4/9 + 10*f**3 - 26*f**2/9 - 8318*f/3 - 2760 = 0 for f.
-36, -23, -1, 15
Factor -5*w**2 - 4980*w - 130815.
-5*(w + 27)*(w + 969)
Factor -2*j**2/3 - 1546808*j/3 - 299076873608/3.
-2*(j + 386702)**2/3
Let 4*s**2 - 1336*s - 10944 = 0. Calculate s.
-8, 342
Factor 3*j**3 - 3771*j**2 - 60912*j - 244416.
3*(j - 1273)*(j + 8)**2
Let 232*k**2/17 - 172146*k/17 + 1484/17 = 0. Calculate k.
1/116, 742
Suppose -3*i**3 - 1812*i**2 - 275415*i - 543606 = 0. What is i?
-301, -2
Factor a**3 - 933*a**2 - 77770*a.
a*(a - 1010)*(a + 77)
Find c, given that -18*c**4 - 962*c**3 - 9180*c**2 - 21816*c + 15120 = 0.
-42, -6, 5/9
Let -150*d**3 - 144185*d**2 + 86625*d + 57710 = 0. What is d?
-5771/6, -2/5, 1
Suppose 16*u**5/5 - 16912*u**4/5 - 291628*u**3/5 - 536696*u**2/5 - 326436*u/5 - 12888 = 0. Calculate u.
-15, -1, -1/2, 1074
Factor 3*g**4 + 378*g**3 + 2544*g**2 + 5382*g + 3213.
3*(g + 1)*(g + 3)**2*(g + 119)
What is i in -7*i**5 - 422*i**4 - 5986*i**3 + 11344*i**2 - 3007*i - 1922 = 0?
-31, -2/7, 1
Suppose -3*m**5 - 244*m**4 + 2240*m**3 + 17390*m**2 + 18723*m - 20826 = 0. What is m?
-89, -3, 2/3, 13
Determine w so that -w**4 + 3483*w**3 - 6938*w**2 - 83544*w = 0.
-4, 0, 6, 3481
Factor 5*h**3 - 15080*h**2 + 11233385*h + 207116010.
5*(h - 1517)**2*(h + 18)
Factor p**3 + 924*p**2 - 931*p - 5550.
(p - 3)*(p + 2)*(p + 925)
Find v, given that -66*v**3/5 + 1137*v**2 - 122808*v/5 + 16641/5 = 0.
3/22, 43
Find d such that -4*d**2 + 537440*d - 18052609600 = 0.
67180
Find c, given that 2*c**4 - 114458*c**3 = 0.
0, 57229
What is p in p**3 - 252757*p**2 + 15971651640*p - 15971398884 = 0?
1, 126378
Let 2*c**4/15 - 103432*c**3/15 + 82738*c**2/3 + 103436*c/5 - 620544/5 = 0. What is c?
-2, 3, 51712
Factor -2*a**3 - 188*a**2 + 12234*a + 12420.
-2*(a - 45)*(a + 1)*(a + 138)
Find m such that 2*m**3/9 - 59516*m**2/9 + 442650226*m/9 + 1771553288/9 = 0.
-4, 14881
Factor 5*d**4 - 1600040*d**3 + 170677333440*d**2 - 6069058390281600*d + 24273502826192640.
5*(d - 106668)**3*(d - 4)
Solve 2*t**4 + 27538*t**3 + 94696248*t**2 - 663892992*t + 1138669056 = 0.
-6888, 3, 4
Let -3*r**4/2 - 681*r**3/4 - 15333*r**2/4 + 58032*r - 77841 = 0. Calculate r.
-62, 3/2, 9
Determine o, given that 378*o**5 + 6852*o**4 - 156770*o**3 - 184212*o**2 - 17496*o + 3472 = 0.
-31, -1, -2/9, 2/21, 14
Determine x, given that -2*x**4/3 - 170*x**3/3 - 578*x**2 + 29478*x = 0.
-51, 0, 17
Let c**5/2 - 6*c**4 - 143*c**3/2 + 729*c**2 - 1612*c + 960 = 0. What is c?
-12, 1, 2, 5, 16
Find l such that -5612161*l**5/3 - 5597947*l**4/3 + 224500645*l**3/3 + 627993463*l**2/3 - 530536*l + 336 = 0.
-4, 3/2369, 7
Suppose -6*x**3/7 - 5790*x**2/7 + 4986*x - 52434/7 = 0. Calculate x.
-971, 3
Find h such that 2*h**2/23 + 180980*h/23 + 4094220050/23 = 0.
-45245
Suppose -3*l**3 - 204*l**2 - 2412*l + 22464 = 0. Calculate l.
-48, -26, 6
Let 41477*j**3/3 - 164443*j**2/3 - 5858*j/3 - 8/3 = 0. Calculate j.
-2/59, -1/703, 4
Factor -2*a**2/9 + 724*a/9 - 6850.
-2*(a - 225)*(a - 137)/9
Find d such that -3*d**2/2 + 132*d + 9792 = 0.
-48, 136
Factor 1628*n**3 + 3280*n**2 + 48*n.
4*n*(n + 2)*(407*n + 6)
Suppose -4*t**5 + 304*t**4 - 580*t**3 - 888*t**2 = 0. Calculate t.
-1, 0, 3, 74
Find d, given that 14*d**4/3 + 30910*d**3 + 51207922*d**2 + 241100398*d/3 - 43850884 = 0.
-3311, -2, 3/7
Factor 26*m**2/9 - 2882*m/9 + 11024/3.
2*(m - 13)*(13*m - 1272)/9
Let -3*k**2 + 741*k - 5040 = 0. Calculate k.
7, 240
Let -2*c**2/11 - 3731600*c/11 - 1740604820000/11 = 0. Calculate c.
-932900
Factor -5*z**2 - 875*z - 16830.
-5*(z + 22)*(z + 153)
Let z**4 - 244*z**3 + 19614*z**2 - 566244*z + 3083913 = 0. What is z?
7, 63, 111
Find f such that 2*f**5/7 + 20400*f**4/7 - 36*f**3/7 - 367200*f**2/7 + 162*f/7 + 1652400/7 = 0.
-10200, -3, 3
Suppose p**5/4 + 523*p**4/4 + 4605*p**3/4 - 10783*p**2/4 + 2827*p/2 = 0. Calculate p.
-514, -11, 0, 1
Let -z**4 + 116*z**3 - 2997*z**2 - 21350*z - 29768 = 0. Calculate z.
-4, -2, 61
Factor -4*a**2/7 + 28452*a/7 + 56920/7.
-4*(a - 7115)*(a + 2)/7
Factor 2*a**3 + 80*a**2 - 2242*a.
2*a*(a - 19)*(a + 59)
Suppose -t**5/7 - 2399*t**4/7 + 43445*t**3/7 - 147365*t**2/7 + 173996*t/7 - 9668 = 0. Calculate t.
-2417, 1, 2, 14
Factor -5*j**4 - 373320*j**3 - 6968764430*j**2 - 13936408920*j - 6968017805.
-5*(j + 1)**2*(j + 37331)**2
Let 3*z**2 - 885*z - 39078 = 0. Calculate z.
-39, 334
Factor -2*j**4 + 1296*j**3 - 282480*j**2 + 21249344*j - 117604128.
-2*(j - 214)**3*(j - 6)
Find l, given that l**5/4 - 29*l**4/4 - 267*l**3/2 - 1397*l**2/2 - 5515*l/4 - 3225/4 = 0.
-5, -3, -1, 43
Solve 70*u**4/3 - 66*u**3 + 68*u**2/3 = 0.
0, 2/5, 17/7
Factor -r**2/5 + 195684*r/5 - 9573056964/5.
-(r - 97842)**2/5
Let -a**3/6 + 91*a**2/6 - 180*a - 8262 = 0. What is a?
-17, 54
Let -y**4/8 - 1031*y**3 - 2123859*y**2 + 8507812*y - 8511938 = 0. What is y?
-4126, 2
Let -3*i**2/2 - 231*i - 456 = 0. What is i?
-152, -2
Suppose 3*u**3/5 + 143091*u**2/5 + 343332*u = 0. Calculate u.
-47685, -12, 0
Suppose 4*t**5 + 4948*t**4 - 4*t**3 - 4948*t**2 = 0. What is t?
-1237, -1, 0, 1
Factor 48115*t**5 - 144346*t**4 + 144348*t**3 - 48118*t**2 + t.
t*(t - 1)**3*(48115*t - 1)
Solve -x**4/6 + 1373*x**3/6 + 5509*x**2/6 - 1373*x/6 - 918 = 0 for x.
-4, -1, 1, 1377
Factor -4*w**3 + 4188*w**2.
-4*w**2*(w - 1047)
Find w, given that 2*w**3/5 + 438*w**2 + 159600*w + 19349600 = 0.
-380, -335
Determine g so that 3*g**4 + 73*g**3 + 985*g**2/3 - 731*g/3 + 42 = 0.
-18, -7, 1/3
What is i in 2*i**2/11 + 714*i/11 + 37044/11 = 0?
-294, -63
Let 23*j**4/2 + 28*j**3 - 721*j**2 - 328*j + 819/2 = 0. What is j?
-9, -1, 13/23, 7
Factor -2*p**3 + 54*p**2 - 318*p - 374.
-2*(p - 17)*(p - 11)*(p + 1)
Determine w so that -4*w**5 - 22092*w**4 - 66252*w**3 - 66244*w**2 - 22080*w = 0.
-5520, -1, 0
Factor x**3/11 + 56*x**2 + 6085*x/11 + 15150/11.
(x + 5)**2*(x + 606)/11
Find a such that 3*a**2 - 37278*a + 115804107 = 0.
6213
Factor 3*p**2 - 297*p/5 + 534/5.
3*(p - 2)*(5*p - 89)/5
Factor 18*m**3/7 - 926*m**2/7 + 408*m/7.
2*m*(m - 51)*(9*m - 4)/7
Find a, given that -2*a**3/7 + 1360*a**2/7 - 200378*a/7 + 199020/7 = 0.
1, 214, 465
Find b such that 4489*b**5 - 11926*b**4 - 7087*b**3 + 7876*b**2 - 1452*b = 0.
-1, 0, 22/67, 3
Factor g**2/8 - 8190*g + 65519/8.
(g - 65519)*(g - 1)/8
Suppose 5*p**5 + 190*p**4 + 2280*p**3 + 8960*p**2 + 10240*p = 0. What is p?
-16, -4, -2, 0
Factor 3*l**4 - 129*l**3 - 387*l**2 + 5481*l - 9720.
3*(l - 45)*(l - 3)**2*(l + 8)
Factor 3*d**2/2 - 23709*d + 187372227/2.
3*(d - 7903)**2/2
Determine r so that -5*r**4 + 238850*r**3 - 2149365*r**2 + 5731400*r - 3820880 = 0.
1, 4, 47761
Let 4*h**2 + 436*h + 1272 = 0. What is h?
-106, -3
Let -3*v**5/2 - 15*v**4/2 + 501*v**3/2 + 3915*v**2/2 + 1701*v = 0. Calculate v.
-9, -1, 0, 14
Let -v**3 - 1280*v**2 - 223183*v - 221904 = 0. Calculate v.
-1072, -207, -1
Factor 5*l**3 + 58455*l**2 + 175320*l.
5*l*(l + 3)*(l + 11688)
Factor 5*u**4 - 4930*u**3 + 1220120*u**2 - 2381280*u - 9682560.
5*(u - 492)**2*(u - 4)*(u + 2)
Factor j**3/3 - 7227*j**2 + 28904*j - 86708/3.
(j - 21677)*(j - 2)**2/3
Factor 2*u**3/9 - 77386*u**2/9 + 747760910*u/9 + 5245708286/3.
2*(u - 19357)**2*(u + 21)/9
Factor -3*z**2/4 + 4683*z.
-3*z*(z - 6244)/4
Suppose 3*s**3/5 + 1689*s**2/5 + 3261*s/5 - 11781 = 0. Calculate s.
-561, -7, 5
Solve 5*a**4 + 2840*a**3 + 30410*a**2 - 128160*a - 1579095 = 0.
-557, -9, 7
Factor -n**3 + 680*n**2 - 134288*n + 6071296.
-(n - 308)**2*(n - 64)
Factor -q**3/4 + 1895*q**2 - 3591025*q.
-q*(q - 3790)**2/4
Let 4*g**5/5 - 142*g**4/15 + 128*g**3/5 + 74*g**2/3 - 328*g/5 + 24 = 0. Calculate g.
-5/3, 1/2, 1, 6
Factor -2*f**5/7 + 150*f**4/7 - 2574*f**3/7 - 9126*f**2/7.
-2*f**2*(f - 39)**2*(f + 3)/7
Determine t so that -21*t**3 + 137031*t**2 + 234984*t - 78324 = 0.
-2, 2/7, 6527
Factor 5*j**2 + 2150*j + 29120.
5*(j + 14)*(j + 416)
Factor 2*w**2 - 20*w + 42.
2*(w - 7)*(w - 3)
Factor 5*i**3 - 162560*i**2 + 325105*i - 162550.
5*(i - 32510)*(i - 1)**2
What is g in 3*g**3 - 12702*g**2 - 76293*g - 114480 = 0?
-3, 4240
Factor 2*i**2/19 + 13398*i/19 - 13400/19.
2*(i - 1)*(i + 6700)/19
Let 54*g**5 + 219*g**4 - 636*g**3 - 36*g**2 = 0. Calculate g.
-6, -1/18, 0, 2
Factor 3*c**4 + 1869*c**3 + 3717*c**2 - 5589*c.
3*c*(c - 1)*(c + 3)*(c + 621)
Let -x**2/3 + 77*x/3 + 32058 = 0. Calculate x.
-274, 351
