6
Factor 2*s**3 + 7992*s**2 + 8047560*s + 126723200.
2*(s + 16)*(s + 1990)**2
Find a, given that 3*a**2 + 5734200*a + 2740087470000 = 0.
-955700
Factor v**3/6 - 971*v**2/3 - 1943*v/6.
v*(v - 1943)*(v + 1)/6
Suppose -v**2/6 + 175*v/6 - 86 = 0. Calculate v.
3, 172
Find x, given that -164*x**5 + 6978*x**4 - 76108*x**3 + 199266*x**2 - 89244*x + 3888 = 0.
2/41, 1/2, 3, 12, 27
Determine p, given that -p**4 + 2*p**3 + 48*p**2 = 0.
-6, 0, 8
Factor 2*h**2/13 + 461792*h/13 + 26656481408/13.
2*(h + 115448)**2/13
Factor -s**2/2 - 315*s/2 - 468.
-(s + 3)*(s + 312)/2
Factor m**3/5 - 4954*m**2/5 + 1228096*m - 12261152/5.
(m - 2476)**2*(m - 2)/5
Solve 4966*m**2 - 14896*m/3 - 2/3 = 0.
-1/7449, 1
Factor d**2 - 3621*d.
d*(d - 3621)
Suppose h**4 - 7057*h**3/5 + 72952*h**2/5 - 140132*h/5 + 44832/5 = 0. Calculate h.
2/5, 2, 8, 1401
Factor -4*x**3 + 35100*x**2 - 70124*x - 526380.
-4*(x - 8773)*(x - 5)*(x + 3)
Factor -c**2 + 255*c + 256.
-(c - 256)*(c + 1)
Find u such that 4*u**3 - 4396*u**2 - 13216*u - 8816 = 0.
-2, -1, 1102
Let -20*a**3 + 1005*a**2/2 + 10435*a/2 - 660 = 0. Calculate a.
-8, 1/8, 33
Factor -4255*s**2 - 393935*s + 10650.
-5*(23*s + 2130)*(37*s - 1)
Solve -4*m**5 - 136*m**4 + 4*m**3 + 136*m**2 = 0 for m.
-34, -1, 0, 1
Solve 2*d**5 + 356*d**4 + 17258*d**3 - 31736*d**2 - 11338808*d + 103941760 = 0.
-80, -62, 13
Factor 3*q**3 - 504*q**2 - 27*q + 4536.
3*(q - 168)*(q - 3)*(q + 3)
Suppose 5*d**2 - 72500*d + 144980 = 0. What is d?
2, 14498
Suppose -j**3/9 - 614*j**2/9 + 2468*j/9 - 824/3 = 0. Calculate j.
-618, 2
Solve 5*c**3 - 307082*c**2 + 122832*c = 0.
0, 2/5, 61416
Let 33*f**4/4 + 289*f**3/2 + 433*f**2 + 382*f + 56 = 0. Calculate f.
-14, -2, -4/3, -2/11
Factor 3*d**4 - 1041*d**3 + 10158*d**2 - 16176*d.
3*d*(d - 337)*(d - 8)*(d - 2)
Factor 153*w**4 - 3*w**3 - 153*w**2 + 3*w.
3*w*(w - 1)*(w + 1)*(51*w - 1)
Solve -5*n**2 - 2785*n + 2790 = 0.
-558, 1
What is m in -m**3/3 - 5*m**2/3 + 1273*m/3 - 15523/3 = 0?
-43, 19
Solve -4*s**2/5 + 2344*s/5 - 307296/5 = 0.
198, 388
Solve -3*z**4 + 5295*z**3 - 73449*z**2 - 162795*z - 84048 = 0.
-1, 16, 1751
Find f, given that -3*f**4/4 + 4848*f**3 - 19389*f**2/4 = 0.
0, 1, 6463
Suppose 2*z**3/7 - 25020*z**2/7 - 2*z/7 + 25020/7 = 0. What is z?
-1, 1, 12510
Factor -4*t**3 + 304*t**2 - 1956*t + 1656.
-4*(t - 69)*(t - 6)*(t - 1)
Factor 2*y**2/3 + 186*y - 7592/3.
2*(y - 13)*(y + 292)/3
Determine w so that -2*w**5/3 + 4*w**4 + 110*w**3/3 - 256*w**2 + 384*w = 0.
-8, 0, 3, 8
Factor s**2 - 456*s + 10775.
(s - 431)*(s - 25)
Factor -2205*p**3 - 6*p**2 + 2205*p + 6.
-3*(p - 1)*(p + 1)*(735*p + 2)
What is z in z**3/8 + 9*z**2/4 - 225*z/8 + 243/4 = 0?
-27, 3, 6
Factor -5*o**3 - 2745*o**2 - 388800*o - 3280500.
-5*(o + 9)*(o + 270)**2
Find d, given that -d**3/6 + 80*d**2/3 - 1606*d/3 - 3536/3 = 0.
-2, 26, 136
Let 5*x**3 - 80990*x**2 + 327888000*x + 656100000 = 0. What is x?
-2, 8100
Let 8*i**2 + 1334*i/5 + 2508/5 = 0. What is i?
-627/20, -2
Determine x, given that -3*x**5 + 714*x**4 + 732*x**3 - 3594*x**2 + 2151*x = 0.
-3, 0, 1, 239
Determine x, given that 6*x**4 - 867*x**3 + 1290*x**2 - 429*x = 0.
0, 1/2, 1, 143
Solve -4*c**3 - 38420*c**2 + 192184*c - 153760 = 0 for c.
-9610, 1, 4
Suppose -a**3/2 - 759671*a**2/2 + 1519345*a/2 - 759673/2 = 0. Calculate a.
-759673, 1
Let -5*w**3 + 19285*w**2 - 77060*w = 0. What is w?
0, 4, 3853
Factor -2*m**5/7 + 64*m**4/7 - 680*m**3/7 + 2400*m**2/7.
-2*m**2*(m - 12)*(m - 10)**2/7
Factor -3*g**3 - 540*g**2 + 1101*g + 1638.
-3*(g - 3)*(g + 1)*(g + 182)
Factor -2*o**2 - 130*o - 488.
-2*(o + 4)*(o + 61)
Let -3*m**5/7 + 7251*m**4/7 - 307245*m**3/7 + 2374461*m**2/7 - 6733044*m/7 + 6537996/7 = 0. What is m?
3, 34, 2374
Factor 2*b**2 - 9292*b - 18592.
2*(b - 4648)*(b + 2)
Factor -9*s**2/2 - 120*s - 600.
-3*(s + 20)*(3*s + 20)/2
Find t such that 4*t**2 - 1248*t - 1206820 = 0.
-415, 727
Factor 4*h**5 + 25296*h**4 + 53399640*h**3 + 37787781200*h**2 + 335783074500*h.
4*h*(h + 9)*(h + 2105)**3
Solve -4*a**3 + 5016*a**2 - 79488*a + 316928 = 0 for a.
8, 1238
Factor -3*d**3/2 + 123*d**2/2 + 267*d/2 - 387/2.
-3*(d - 43)*(d - 1)*(d + 3)/2
Solve 5*h**4 + 460*h**3 + 225*h**2 - 20530*h + 36400 = 0 for h.
-91, -8, 2, 5
Factor b**4/8 - 26*b**3 - 33705*b**2/8.
b**2*(b - 315)*(b + 107)/8
Suppose -q**5/7 - 4058*q**4/7 + 16244*q**3/7 - 16248*q**2/7 = 0. What is q?
-4062, 0, 2
Find q, given that -3*q**3/5 + 87699*q**2/5 - 350757*q/5 + 263061/5 = 0.
1, 3, 29229
Let -2*x**4/7 - 13768*x**3/7 + 206844*x**2/7 - 124168*x + 96586 = 0. Calculate x.
-6899, 1, 7
Factor 11*q**3/2 - 4519*q**2/2 - 2677*q - 412.
(q - 412)*(q + 1)*(11*q + 2)/2
What is s in -7*s**5/2 + 233*s**4/2 + 9251*s**3/2 + 44987*s**2/2 + 12478*s - 5510 = 0?
-19, -5, -1, 2/7, 58
Factor 14718675*c**2 + 363260*c + 6724/3.
(6645*c + 82)**2/3
What is g in g**4/2 + 2389*g**3 + 2858434*g**2 + 11402699*g + 17093307/2 = 0?
-2387, -3, -1
Factor -u**3/5 + 41*u**2 - 2886*u/5 + 1368.
-(u - 190)*(u - 12)*(u - 3)/5
Solve 3*c**5/7 + 648*c**4/7 + 37035*c**3/7 + 173994*c**2/7 - 4661280*c/7 - 14601600/7 = 0.
-104, -15, -3, 10
What is b in -b**4/3 - 22*b**3/3 + 125*b**2 + 132*b = 0?
-33, -1, 0, 12
Solve 4*g**2 + 1361268*g - 1361272 = 0 for g.
-340318, 1
Factor 2*y**2 + 452222*y.
2*y*(y + 226111)
Determine k so that 2*k**2/19 + 78*k = 0.
-741, 0
Let 3*i**4/4 - 9813*i**3/4 + 2451*i**2 + 4905*i = 0. What is i?
-1, 0, 2, 3270
What is f in 4*f**3 + 416*f**2 - 4988*f + 8280 = 0?
-115, 2, 9
Factor 9305*z**2/4 + 1901*z/8 + 1/2.
(10*z + 1)*(1861*z + 4)/8
Factor -3*z**3/4 - 57*z**2 + 7575*z/4.
-3*z*(z - 25)*(z + 101)/4
Solve -8*q**4/21 - 362*q**3/21 + 1556*q**2/7 - 1174*q/3 + 560/3 = 0.
-56, 1, 35/4
Factor -3*n**3/2 - 414522*n**2 - 57275333775*n/2 + 57276991875.
-3*(n - 2)*(n + 138175)**2/2
Let d**5 + 93*d**4 + 509*d**3 - 1197*d**2 - 5670*d + 6264 = 0. What is d?
-87, -6, -4, 1, 3
Factor 3*g**2 - 9*g - 264.
3*(g - 11)*(g + 8)
Factor 10*c**2 - 3576*c + 10638.
2*(c - 3)*(5*c - 1773)
Determine r, given that -14*r**5 + 25672*r**4 - 11450600*r**3 - 293905772*r**2 + 219026614*r + 86304100 = 0.
-25, -2/7, 1, 929
Suppose -f**3/7 - 45*f**2/7 - 239*f/7 - 195/7 = 0. Calculate f.
-39, -5, -1
Factor 4*o**3 + 200*o**2 - 7964*o - 34800.
4*(o - 29)*(o + 4)*(o + 75)
Find h such that 3*h**5 + 22731*h**4 - 90963*h**3 + 68241*h**2 + 90960*h - 90972 = 0.
-7581, -1, 1, 2
Factor 3*z**3 - 396*z**2 + 13227*z - 12834.
3*(z - 69)*(z - 62)*(z - 1)
Determine b, given that -3*b**5 + 789*b**4 - 35367*b**3 - 237129*b**2 - 200970*b = 0.
-5, -1, 0, 66, 203
Let 927340178*t**2/7 - 2583960*t/7 + 1800/7 = 0. Calculate t.
30/21533
Factor 3*l**2 - 390654*l + 12717545643.
3*(l - 65109)**2
Let -p**2/4 - 619*p/4 + 11445/2 = 0. Calculate p.
-654, 35
Factor k**2/4 - 5291*k/4 + 3966.
(k - 5288)*(k - 3)/4
Solve m**5/3 - 226*m**4/3 - m**3/3 + 226*m**2/3 = 0 for m.
-1, 0, 1, 226
Find a, given that -a**3 + 67*a**2 - 1040*a - 2356 = 0.
-2, 31, 38
Factor -105*f**2 + 3543*f - 8928.
-3*(f - 31)*(35*f - 96)
Factor l**5 + 145*l**4 + 1386*l**3 + 4916*l**2 + 7592*l + 4320.
(l + 2)**3*(l + 4)*(l + 135)
What is u in -3*u**5 + 33*u**4 - 33*u**3 - 429*u**2 + 396*u + 756 = 0?
-3, -1, 2, 6, 7
Determine q so that -q**2/8 + 5391*q/8 + 674 = 0.
-1, 5392
Let 5*t**5/4 - 695*t**4/4 - 2915*t**3/4 + 7895*t**2/4 - 2145*t/2 = 0. Calculate t.
-6, 0, 1, 143
Suppose v**4/2 + 70*v**3 + 3279*v**2/2 - 5416*v + 3706 = 0. What is v?
-109, -34, 1, 2
Determine x, given that 4*x**4 - 5292*x**3 - 10600*x**2 = 0.
-2, 0, 1325
What is q in 29*q**4 + 5163*q**3 + 15287*q**2 - 19779*q - 700 = 0?
-175, -4, -1/29, 1
Factor -q**2/4 + 90161*q/2 - 8129005921/4.
-(q - 90161)**2/4
What is s in 85*s**4 + 33650*s**3 - 105535*s**2 + 79780*s - 7980 = 0?
-399, 2/17, 1, 2
Find k such that 3*k**4 - 144*k**3 + 1491*k**2 + 5526*k + 3888 = 0.
-2, -1, 24, 27
Factor -3*h**2/7 - 194490*h/7 + 583497/7.
-3*(h - 3)*(h + 64833)/7
Factor -2*b**2/11 - 238*b/11 - 6320/11.
-2*(b + 40)*(b + 79)/11
Factor a**4 + 48*a**3 + 116*a**2 - 14640*a - 57600.
(a - 16)*(a + 4)*(a + 30)**2
Solve -5*z**2 + 2171720*z - 235818387920 = 0.
217172
Factor 3*b**3/5 - 348*b**2/5 - 732*b/5 + 2832/5.
3*(b - 118)*(b - 2)*(b + 4)/5
Factor -x**2 + 20819*x + 208290.
-(x - 20829)*(x + 10)
Factor -2*a**4/15 - 16028*a**3/15 + 16032*a**2/5 - 9620*a/3 + 16034/15.
-2*(a - 1)**3*(a + 8017)/15
Factor -4*u**3 + 263788*u**2 - 527564*u + 263780.
-4*(u - 65945)