r -5*s**4 + 374500*s**3 - 9349517280*s**2 + 77787979774720*s + 311301535344640.
-5*(s - 24968)**3*(s + 4)
Determine q, given that -58*q**5 + 874*q**4 - 756*q**3 - 1576*q**2 + 112*q = 0.
-1, 0, 2/29, 2, 14
Suppose 4*z**3 - 7100*z**2 + 28352*z - 28336 = 0. What is z?
2, 1771
Factor 4*y**2 - 980008*y + 980004.
4*(y - 245001)*(y - 1)
Find k, given that -2*k**4/11 - 6*k**3 - 360*k**2/11 + 1728*k/11 = 0.
-24, -12, 0, 3
Determine o so that -2*o**2/7 + 466880*o/7 - 27247116800/7 = 0.
116720
What is g in -g**5 + 4974*g**4 - 6190125*g**3 + 12285812*g**2 + 92702940*g = 0?
-3, 0, 5, 2486
Find v such that -3*v**5 - 387*v**4 + 2418*v**3 - 1638*v**2 - 2415*v + 2025 = 0.
-135, -1, 1, 5
Factor 2*f**2/7 + 108952*f/7 + 1483817288/7.
2*(f + 27238)**2/7
Solve -2*l**4/13 - 470*l**3/13 + 25388*l**2/13 - 311872*l/13 + 1118976/13 = 0 for l.
-282, 8, 31
Let -4*s**5/3 - 43*s**4/9 + 1712*s**3/9 - 73*s**2 - 1700*s/9 + 700/9 = 0. What is s?
-14, -1, 5/12, 1, 10
Solve 4*f**4/9 + 16*f**3/3 - 284*f**2/9 - 136*f/3 + 640/9 = 0 for f.
-16, -2, 1, 5
Suppose -y**5 + 1109*y**4 - 17565*y**3 + 84259*y**2 - 107114*y = 0. What is y?
0, 2, 7, 1093
What is l in 7*l**2/2 + 50077*l - 14308 = 0?
-14308, 2/7
Let -52*m**2 + 168484*m - 168432 = 0. What is m?
1, 42108/13
Suppose -h**3 - 280*h**2 - 9317*h + 19762 = 0. What is h?
-241, -41, 2
Find z such that 2*z**4 - 162*z**3 + 2272*z**2 + 5208*z = 0.
-2, 0, 21, 62
Factor -f**2/5 - 3938*f/5 + 337848/5.
-(f - 84)*(f + 4022)/5
Factor q**3/3 + 669*q**2 + 334665*q - 1010025.
(q - 3)*(q + 1005)**2/3
Suppose 9*w**4 - 3*w**3 - 6813*w**2 + 9075*w - 2268 = 0. Calculate w.
-28, 1/3, 1, 27
Factor x**2/2 - 996*x + 1991/2.
(x - 1991)*(x - 1)/2
Factor -f**3/3 - 7904*f**2/3 + 31652*f - 94992.
-(f - 6)**2*(f + 7916)/3
Let -33*k**4/8 + 98550*k**3 + 71673*k**2/8 = 0. Calculate k.
-1/11, 0, 23891
Factor -8*g**3 - 414*g**2 + 2384*g - 570.
-2*(g - 5)*(g + 57)*(4*g - 1)
Determine t so that -t**2/4 - 2457*t/2 - 14733/4 = 0.
-4911, -3
Let y**2/5 + 9738*y/5 = 0. Calculate y.
-9738, 0
Factor -615*k**2 - 3073*k/5 + 2/5.
-(k + 1)*(3075*k - 2)/5
Factor y**3/2 - 1495*y**2/2 - 2*y + 2990.
(y - 1495)*(y - 2)*(y + 2)/2
Determine g so that g**4/3 + 460*g**3 - 3242*g**2 - 23588*g/3 - 4161 = 0.
-1387, -1, 9
Let 4*k**3/7 + 24*k**2 + 624*k/7 + 608/7 = 0. What is k?
-38, -2
Find p such that -p**3/5 + 601*p**2/5 + 2432*p/5 - 1452 = 0.
-6, 2, 605
Factor -3*c**2 - 36054*c - 108324243.
-3*(c + 6009)**2
Find y such that -2*y**3/7 + 4860*y**2/7 + 8*y/7 - 19440/7 = 0.
-2, 2, 2430
Factor -l**2/2 + 3823*l/2 - 15260.
-(l - 3815)*(l - 8)/2
Let -375*o**4 + 37725*o**3 + 94185*o**2 - 153441*o + 50058 = 0. Calculate o.
-18/5, 3/5, 103
Factor -c**4 - 199*c**3 - 7935*c**2 - 15277*c - 7540.
-(c + 1)**2*(c + 52)*(c + 145)
Factor -z**2/5 - 238*z/5 + 11439/5.
-(z - 41)*(z + 279)/5
Solve 2*r**4 + 454*r**3 - 5174*r**2 + 14714*r - 9996 = 0.
-238, 1, 3, 7
Factor -y**2 - 10200*y - 20396.
-(y + 2)*(y + 10198)
What is r in 21*r**4 + 774*r**3 + 6720*r**2 = 0?
-160/7, -14, 0
Suppose -36*y**5 + 1244*y**4 + 668*y**3 - 3804*y**2 + 808*y + 1120 = 0. Calculate y.
-2, -4/9, 1, 35
Factor -2*q**2/5 + 15642*q.
-2*q*(q - 39105)/5
Factor 5*s**3 + 160*s**2 - 2020*s + 3360.
5*(s - 8)*(s - 2)*(s + 42)
Factor -69*c**2 - 73050*c - 72981.
-3*(c + 1)*(23*c + 24327)
Determine m so that 46*m**4/13 - 24764*m**3/13 + 33310*m**2/13 - 8592*m/13 = 0.
0, 8/23, 1, 537
Find s such that 7412*s**2 + 29646*s - 8 = 0.
-4, 1/3706
Find v such that 4*v**3 + 34068*v**2 + 71244864*v - 5536684800 = 0.
-4296, 75
Find m such that 5*m**2 - 340*m - 71100 = 0.
-90, 158
Let -w**4/3 + 10*w**3 - 317*w**2/3 + 444*w - 540 = 0. What is w?
2, 9, 10
Factor -3*g**4 - 51*g**3 + 1986*g**2 + 8568*g.
-3*g*(g - 21)*(g + 4)*(g + 34)
Suppose -5*b**5 - 320720*b**4 + 1603680*b**3 - 2886670*b**2 + 2245205*b - 641490 = 0. Calculate b.
-64149, 1, 2
Factor 2*c**4 + 240*c**3 + 6442*c**2 - 13860*c.
2*c*(c - 2)*(c + 45)*(c + 77)
Let 4*f**3 + 10360*f**2 - 72668*f + 124656 = 0. Calculate f.
-2597, 3, 4
Factor -f**2/3 - 24215*f/6 + 2018.
-(f + 12108)*(2*f - 1)/6
Factor 2*j**2/9 + 4708*j/9 + 239408/9.
2*(j + 52)*(j + 2302)/9
Factor l**5 + 69*l**4 - 154*l**3 - 866*l**2 - 999*l - 355.
(l - 5)*(l + 1)**3*(l + 71)
What is m in m**5/2 - 10*m**4 - 392*m**3 + 9613*m**2 - 66033*m/2 + 23805 = 0?
-30, 1, 3, 23
Factor 10*h**2/21 + 864968*h/3 - 807304/7.
2*(h + 605478)*(5*h - 2)/21
Determine b, given that -b**3/2 + 8655*b**2/2 - 69183*b/2 + 60529/2 = 0.
1, 7, 8647
Solve 3*d**4 - 36*d**3 - 8865*d**2 + 238350*d - 441000 = 0 for d.
-60, 2, 35
Factor -2*v**3/11 + 1884*v**2 - 41442*v/11 + 20720/11.
-2*(v - 10360)*(v - 1)**2/11
Factor -3*g**4 - 593568*g**3 - 29360247552*g**2.
-3*g**2*(g + 98928)**2
Solve -6*c**4/7 - 508854*c**3/7 + 6*c**2/7 + 508854*c/7 = 0 for c.
-84809, -1, 0, 1
Factor 5*l**3 - 10580*l**2 - 20*l + 42320.
5*(l - 2116)*(l - 2)*(l + 2)
Factor -2*p**2/3 + 4628*p/3 - 1542.
-2*(p - 2313)*(p - 1)/3
Factor 3*z**3/7 - 591*z**2/7 + 3555*z + 61425.
3*(z - 105)**2*(z + 13)/7
Suppose -3*t**2 - 1346430*t - 151072812075 = 0. Calculate t.
-224405
What is k in 2*k**4/3 + 1820*k**3/3 + 11902*k**2 + 94408*k/3 + 60520/3 = 0?
-890, -17, -2, -1
Factor 3*g**2/7 + 7983*g/7 + 15954/7.
3*(g + 2)*(g + 2659)/7
Suppose 5*m**3/4 + 23*m**2/2 + 35*m/4 - 147/2 = 0. Calculate m.
-7, -21/5, 2
Factor t**2/6 - 20593*t + 1272214947/2.
(t - 61779)**2/6
Factor 1932*j**2 + 17408*j + 180.
4*(j + 9)*(483*j + 5)
Solve u**4 + 3166*u**3 + 3163*u**2 - 6330*u = 0 for u.
-3165, -2, 0, 1
Factor -5*t**2 - 5205*t + 188300.
-5*(t - 35)*(t + 1076)
Factor -47*u**3/4 + 1067*u**2/4 + 1161*u/2.
-u*(u + 2)*(47*u - 1161)/4
Determine t so that 3*t**2/2 + 243927*t/2 + 121962 = 0.
-81308, -1
What is f in -75*f**4 + 294705*f**3 - 117873*f**2 + 11787*f = 0?
0, 1/5, 3929
What is b in -b**3/2 - 331*b**2/2 - 9599*b/2 - 9269/2 = 0?
-299, -31, -1
Factor -5*v**3 - 26315*v**2 - 52615*v - 26305.
-5*(v + 1)**2*(v + 5261)
Factor -5*u**2 - 167110*u + 1838815.
-5*(u - 11)*(u + 33433)
Determine m so that -3*m**3 - 5694*m**2 + 22815*m - 17118 = 0.
-1902, 1, 3
Factor 2568*k**2 - 41084*k - 64.
4*(k - 16)*(642*k + 1)
What is b in -b**4/2 - 342*b**3 + 6923*b**2/2 - 5895*b + 2776 = 0?
-694, 1, 8
Determine t, given that 2*t**4/11 - 36*t**3/11 - 17934*t**2/11 + 773968*t/11 = 0.
-104, 0, 61
Suppose -4*m**3/3 + 2*m**2/5 + 2714*m/15 - 3224/5 = 0. Calculate m.
-13, 4, 93/10
Suppose 9*w**5/5 - 32*w**4 + 576*w**3/5 + 1594*w**2/5 - 5913*w/5 - 1386/5 = 0. What is w?
-3, -2/9, 3, 7, 11
Factor -x**2/2 + 3805*x - 14478025/2.
-(x - 3805)**2/2
Factor 5*f**3 + 1830*f**2 - 239720*f - 486720.
5*(f - 104)*(f + 2)*(f + 468)
What is z in 45*z**4 - 207460*z**3 + 241193225*z**2 - 4793910750*z + 1053405000 = 0?
2/9, 20, 2295
Suppose 25*c**4/4 + 1385*c**3/4 + 27285*c**2/4 + 218195*c/4 + 270215/2 = 0. What is c?
-17, -22/5
Determine v, given that v**2/5 + 9351*v/5 + 344618/5 = 0.
-9314, -37
Factor j**4/5 - 86096*j**3/5 - 258294*j**2/5 - 258296*j/5 - 86099/5.
(j - 86099)*(j + 1)**3/5
Factor -2*v**2 + 7348*v - 29360.
-2*(v - 3670)*(v - 4)
Factor z**3/2 + 232*z**2 - 465*z/2.
z*(z - 1)*(z + 465)/2
What is y in 2*y**3/17 - 74104*y**2/17 + 685609482*y/17 + 15119296236/17 = 0?
-22, 18537
Factor -4*m**2 - 5748*m - 22928.
-4*(m + 4)*(m + 1433)
Factor -9142035*x**2 + 2611940*x + 20.
-5*(7*x - 2)*(261201*x + 2)
Suppose -p**2/10 + 24063*p/10 - 24061/5 = 0. Calculate p.
2, 24061
Find z such that 2*z**5 + 66*z**4 - 1624*z**3 - 9144*z**2 - 15136*z - 7680 = 0.
-48, -2, -1, 20
Factor -6*z**2/11 + 104922*z/11 + 2100840/11.
-6*(z - 17507)*(z + 20)/11
Factor 4*s**3 - 392*s**2 + 12420*s - 128304.
4*(s - 44)*(s - 27)**2
Factor 2*m**3/3 - 26*m**2/3 + 34*m - 42.
2*(m - 7)*(m - 3)**2/3
Factor 5*m**3/2 + 181705*m**2/2 - 90855*m.
5*m*(m - 1)*(m + 36342)/2
Suppose -2*p**3 + 20442*p**2 + 40890*p + 20446 = 0. What is p?
-1, 10223
Factor -h**2 + 141*h - 278.
-(h - 139)*(h - 2)
Factor -2*x**3 - 40*x**2 + 10334*x - 10292.
-2*(x - 62)*(x - 1)*(x + 83)
Suppose -2*h**3/9 + 902*h**2/9 + 1520*h/3 = 0. Calculate h.
-5, 0, 456
Factor 2*c**3/3 - 13268*c**2 + 66001664*c + 396169216/3.
2*(c - 9952)**2*(c + 2)/3
Determine b so that 5*b**4 + 150*b**3 - 3365*b**2 + 14490*b = 0.
-46, 0, 7, 9
Suppose -4*l**3/7 - 48*l**2/7 + 1252*l/7 - 1200/7 = 0. Calculate l.
-25, 1, 12
Factor 2*j**2/13 - 234056*j/13 + 6847776392/13.
2*(j - 58514)**