alculate t.
-309, -5, 2/9, 2
Factor 3*x**2/2 - 777789*x/2 - 388896.
3*(x - 259264)*(x + 1)/2
Factor x**2 - 7751*x - 132056.
(x - 7768)*(x + 17)
Let 9*j**3/4 - 20845*j**2/4 + 3017748*j - 335241 = 0. What is j?
1/9, 1158
Determine f so that -f**2/6 - 19*f - 111/2 = 0.
-111, -3
Factor -w**2/6 + 39907*w/3 - 26604.
-(w - 79812)*(w - 2)/6
Determine t, given that 167*t**2/8 + 15781*t/2 - 189/2 = 0.
-378, 2/167
Let -w**5 + 34*w**4 + 110*w**3 + 40*w**2 - 109*w - 74 = 0. What is w?
-2, -1, 1, 37
What is p in -4*p**3 + 2100*p**2 + 29988*p + 105644 = 0?
-7, 539
Let 26*d**3/5 + 14928*d**2/5 - 29934*d/5 + 2996 = 0. What is d?
-7490/13, 1
Factor 5*y**2 - 215*y - 8500.
5*(y - 68)*(y + 25)
Let -d**2/4 + 7739*d/2 - 59892121/4 = 0. Calculate d.
7739
Determine i, given that 60*i**2 + 268*i + 112 = 0.
-4, -7/15
What is h in -12*h**5 - 520*h**4 + 5884*h**3 + 24824*h**2 + 3456*h - 14976 = 0?
-52, -3, -1, 2/3, 12
Factor j**2 + 985*j - 16016.
(j - 16)*(j + 1001)
Solve 5*k**3 - 35*k**2 + 40*k + 80 = 0 for k.
-1, 4
Determine c, given that -2*c**2 + 1713416*c - 366974298632 = 0.
428354
Factor j**4/3 + 3918*j**3 + 33958381*j**2/3 - 1137685332*j + 84317059876/3.
(j - 49)**2*(j + 5926)**2/3
Solve 33*d**3 - 313*d**2/6 + 127*d/6 - 2 = 0.
3/22, 4/9, 1
Factor -2*b**2/17 - 1470*b/17 + 57128/17.
-2*(b - 37)*(b + 772)/17
Suppose -12*c**5 - 1820*c**4 + 28076*c**3 - 78612*c**2 + 66976*c - 14608 = 0. What is c?
-166, 1/3, 1, 2, 11
Factor 48*w**2 - 76895*w/2 - 801/2.
(w - 801)*(96*w + 1)/2
Determine u so that -u**4/2 + 125*u**3/2 + 2833*u**2/2 + 9667*u/2 + 3480 = 0.
-16, -3, -1, 145
Let v**2/7 + 11040*v/7 - 11047 = 0. What is v?
-11047, 7
Find w such that -4*w**4/5 - 104*w**3/5 - 160*w**2 - 440*w - 300 = 0.
-15, -5, -1
Factor 2*f**2 - 113834*f + 113832.
2*(f - 56916)*(f - 1)
Solve 4*b**2 - 3272*b + 41860 = 0.
13, 805
Determine s, given that s**2/2 - 5449*s/2 = 0.
0, 5449
Find g, given that 15*g**4/4 - 1505*g**3/4 + 33665*g**2/4 - 11055*g/4 = 0.
0, 1/3, 33, 67
Factor 4*m**4 - 392776*m**3 + 9639311812*m**2 + 135008108928*m + 472595751936.
4*(m - 49104)**2*(m + 7)**2
Factor 5*s**4 + 1006710*s**3.
5*s**3*(s + 201342)
Factor -5*s**2 - 870*s - 10465.
-5*(s + 13)*(s + 161)
Factor g**3/2 - 1587*g**2/2 + 827991*g/2 - 141458805/2.
(g - 591)**2*(g - 405)/2
Factor -k**2 + 197*k + 45758.
-(k - 334)*(k + 137)
Factor 1095*r**3 - 1101*r**2 - 13134*r + 72.
3*(r - 4)*(r + 3)*(365*r - 2)
Determine l so that 2*l**4 + 179*l**3 + 324*l**2 - 2255*l + 1750 = 0.
-175/2, -5, 1, 2
Find u such that -u**5/3 + 8*u**4/3 + 251*u**3/3 - 1082*u**2 + 3804*u - 2808 = 0.
-18, 1, 6, 13
Factor 1745*k**3/3 + 27922*k**2/3 + 111712*k/3 + 128/3.
(k + 8)**2*(1745*k + 2)/3
Determine a, given that -10*a**2/13 + 37196*a/13 - 22314/13 = 0.
3/5, 3719
Let r**4/4 + 135*r**3/2 + 1269*r**2 + 4690*r - 15000 = 0. What is r?
-250, -12, -10, 2
Factor -4*b**2 - 5712*b + 5716.
-4*(b - 1)*(b + 1429)
Factor -3*c**3 + 220461*c**2 - 4050364605*c + 4050144147.
-3*(c - 36743)**2*(c - 1)
Factor -2*t**4/9 - 6178*t**3/9 - 2117674*t**2/3 - 2166314518*t/9 + 8767302328/9.
-2*(t - 4)*(t + 1031)**3/9
Factor -2*x**4/17 + 7196*x**3/17 - 64602*x**2/17.
-2*x**2*(x - 3589)*(x - 9)/17
Suppose 2*p**2/7 + 3698*p/7 + 69540/7 = 0. What is p?
-1830, -19
Suppose p**2/2 - 351*p/2 + 5670 = 0. What is p?
36, 315
Solve 4*a**5 + 4748*a**4 - 19044*a**3 + 14308*a**2 + 19040*a - 19056 = 0 for a.
-1191, -1, 1, 2
Find a, given that -7*a**3/8 + 1139*a**2/8 - 241*a - 161/2 = 0.
-2/7, 2, 161
Suppose -q**4/4 + 12313*q**3/2 - 151634593*q**2/4 + 75798828*q - 37896336 = 0. What is q?
1, 12312
Factor -2*p**2/7 + 1144*p.
-2*p*(p - 4004)/7
Find o such that 4*o**5/9 + 5084*o**4/9 + 1612892*o**3/9 - 1623068*o**2/9 - 537632*o/3 + 179776 = 0.
-636, -1, 1
Let -4*x**2/3 - 7564*x/3 - 110760 = 0. Calculate x.
-1846, -45
Factor 4*w**3/5 - 756*w**2 - 18976*w/5 - 4560.
4*(w - 950)*(w + 2)*(w + 3)/5
Determine t so that 3*t**4/4 + 12*t**3 - 597*t**2/4 + 939*t/2 - 450 = 0.
-25, 2, 3, 4
Factor q**2 - 39706*q - 79416.
(q - 39708)*(q + 2)
Find n such that 4*n**3 - 1208*n**2 - 13660*n - 35056 = 0.
-7, -4, 313
Factor -n**3/8 + 33*n**2/8 + 313*n/8 + 615/8.
-(n - 41)*(n + 3)*(n + 5)/8
Find o such that -o**3/2 - 1625*o**2 - 1321936*o - 2637376 = 0.
-1624, -2
Factor u**4 - 344*u**3 + 22199*u**2 + 1549496*u - 39337872.
(u - 188)**2*(u - 21)*(u + 53)
Factor 10*b**3/9 - 212*b**2/9 + 422*b/9 - 76/9.
2*(b - 19)*(b - 2)*(5*b - 1)/9
Suppose -3*k**5/2 - 105*k**4/4 + 81*k**3 + 105*k**2 - 300*k = 0. Calculate k.
-20, -2, 0, 2, 5/2
Let 2*x**2 - 1104*x - 8960 = 0. Calculate x.
-8, 560
Suppose -x**4/4 + 99*x**3/4 - 1069*x**2/2 + 510*x = 0. What is x?
0, 1, 30, 68
Determine g so that -10*g**5 + 176*g**4 - 648*g**3 - 608*g**2 + 3712*g + 1536 = 0.
-2, -2/5, 4, 12
Factor -2*v**3/19 - 6*v**2/19 + 122*v/19 + 126/19.
-2*(v - 7)*(v + 1)*(v + 9)/19
Factor -38*u**3/13 + 28*u**2/13 + 1600*u/13 - 4416/13.
-2*(u - 4)**2*(19*u + 138)/13
Factor -16*d**3 - 131*d**2/2 - 6*d.
-d*(d + 4)*(32*d + 3)/2
Let -4*t**5 - 10508*t**4 - 696316*t**3 - 685812*t**2 = 0. What is t?
-2559, -67, -1, 0
Factor 4*b**3 + 332*b**2 + 7048*b + 6720.
4*(b + 1)*(b + 40)*(b + 42)
Suppose -3*d**3/7 + 6039*d**2/7 - 3036105*d/7 - 3042147/7 = 0. What is d?
-1, 1007
Determine b so that 3*b**3/8 + 2337*b**2/2 + 46677*b/8 + 9333/2 = 0.
-3111, -4, -1
Let 3*m**5 - 453*m**4 + 3915*m**3 - 11595*m**2 + 13242*m - 5112 = 0. Calculate m.
1, 3, 4, 142
Find g, given that 10*g**3/13 + 744*g**2/13 + 10472*g/13 + 18048/13 = 0.
-282/5, -16, -2
Factor a**2/3 + 506*a/3 - 59192/3.
(a - 98)*(a + 604)/3
Factor y**2/10 + 34*y + 1450.
(y + 50)*(y + 290)/10
Factor 12*u**2 - 1118*u + 9240.
2*(u - 84)*(6*u - 55)
Determine j, given that j**4/5 - 8273*j**3/5 - 207403*j**2/5 - 389983*j/5 - 190854/5 = 0.
-23, -1, 8298
What is d in -2*d**3 + 24*d**2 - 54*d - 80 = 0?
-1, 5, 8
Factor 12*p**2 - 3488*p + 10356.
4*(p - 3)*(3*p - 863)
Factor -4*b**2 - 3964*b - 261280.
-4*(b + 71)*(b + 920)
Solve -k**4/3 + 242*k**3/3 - 18476*k**2/3 + 453592*k/3 = 0 for k.
0, 62, 118
Factor 2*g**2/9 - 382*g - 66044/9.
2*(g - 1738)*(g + 19)/9
Solve -3*p**3/7 + 33*p**2 - 2496*p/7 = 0 for p.
0, 13, 64
Factor -h**2/11 + 249*h/11 - 13430/11.
-(h - 170)*(h - 79)/11
Factor -21*s**2 + 82545*s + 23586.
-3*(s - 3931)*(7*s + 2)
Factor w**3/8 - 17*w**2 + 1143*w/8.
w*(w - 127)*(w - 9)/8
Determine p so that 2*p**4 + 204*p**3 - 7206*p**2 - 31208*p - 31992 = 0.
-129, -2, 31
Factor 3*c**2/4 - 4250871*c/2 + 6023301419547/4.
3*(c - 1416957)**2/4
Suppose 4*f**4/7 + 4012*f**3/7 - 175396*f**2/7 + 171380*f/7 = 0. Calculate f.
-1045, 0, 1, 41
Let 4*q**4/3 - 112*q**3/3 - 284*q**2 + 1168*q/3 + 1904/3 = 0. Calculate q.
-7, -1, 2, 34
Factor -2*y**2 + 400*y - 1568.
-2*(y - 196)*(y - 4)
Let 3*a**5 + 54*a**4 - 7965*a**3 - 24312*a**2 - 180*a + 32400 = 0. Calculate a.
-60, -2, 1, 45
Factor -3*o**3/7 + 184*o**2/7 + 3316*o/7 + 304.
-(o - 76)*(o + 14)*(3*o + 2)/7
Factor -5*a**3 - 395*a**2 - 1880*a - 2220.
-5*(a + 2)*(a + 3)*(a + 74)
Let 2*b**4 + 812*b**3 + 76488*b**2 - 1214640*b + 2116800 = 0. Calculate b.
-210, 2, 12
Solve 6*c**5 + 122684*c**4/3 - 50020*c**3 - 195432*c**2 - 231766*c/3 + 27268 = 0 for c.
-6817, -1, 2/9, 3
Factor 2*v**4 - 1240*v**3 + 7392*v**2 - 14752*v + 9824.
2*(v - 614)*(v - 2)**3
Suppose -33*z**3/2 + 345*z**2/2 + 2607*z + 1368 = 0. Calculate z.
-8, -6/11, 19
Find y such that y**5/5 - 3*y**4/5 - 1856*y**3/5 - 2088*y**2 + 936496*y/5 + 11749584/5 = 0.
-22, -21, 34
Let -34*n**2/3 + 7469*n/6 - 2467/2 = 0. What is n?
1, 7401/68
Factor 5*a**5 - 15*a**4 - 35*a**3 + 35*a**2 + 90*a + 40.
5*(a - 4)*(a - 2)*(a + 1)**3
What is x in x**4 + 129*x**3 + 4797*x**2 + 40415*x + 62658 = 0?
-59, -9, -2
Factor -4*f**2 + 65890*f - 32944.
-2*(f - 16472)*(2*f - 1)
Find t, given that t**3 - 1204*t**2 + 438309*t - 50285286 = 0.
279, 646
Factor 3*t**3/8 - 6357*t**2/8 + 12705*t/8 - 6351/8.
3*(t - 2117)*(t - 1)**2/8
Let -275*x**3/3 - 90*x**2 + 1835*x - 100/3 = 0. What is x?
-5, 1/55, 4
Find w, given that -2*w**4/21 + 2*w**3 - 50*w**2/21 - 806*w/7 + 676/3 = 0.
-7, 2, 13
Factor 5*j**5 + 25*j**4 - 5*j**3 - 25*j**2.
5*j**2*(j - 1)*(j + 1)*(j + 5)
Factor -3*k**3 + 262131*k**2 - 524241*k - 786375.
-3*(k - 87375)*(k - 3)*(k + 1)
What is b in -3*b**5 + 6099*b**4 - 233175*b**3 - 245379*b**2 + 233178*b + 239280 = 0?
-1, 1, 40, 1994
Let -2*f**5 + 1842*f**4 + 7388*f**3 + 11092*f*