0, 1/3
Solve u**5 - 94*u**4 + 1356*u**3 - 3554*u**2 - 5005*u = 0 for u.
-1, 0, 5, 13, 77
Let 2*t**2 + 36982*t + 73956 = 0. Calculate t.
-18489, -2
Factor 3*f**3 + 54*f**2 - 3*f - 54.
3*(f - 1)*(f + 1)*(f + 18)
Solve 2*h**2 - 696*h - 2816 = 0 for h.
-4, 352
Factor -h**3/7 - 99*h**2/7 - 2580*h/7 - 17732/7.
-(h + 11)*(h + 26)*(h + 62)/7
Factor -2*j**5/7 - 88*j**4 - 63036*j**3/7 - 2121800*j**2/7 + 2185454*j/7.
-2*j*(j - 1)*(j + 103)**3/7
Find g, given that -49*g**3/8 + 1135*g**2/8 - 2297*g/4 + 90 = 0.
8/49, 5, 18
Factor q**2 + 177444*q + 354884.
(q + 2)*(q + 177442)
Determine r so that 1918*r**5/3 + 2558*r**4 + 5762*r**3/3 - 7666*r**2/3 - 2560*r - 8/3 = 0.
-2, -1, -1/959, 1
Find u, given that -u**2 + 465*u + 14326 = 0.
-29, 494
Suppose -3*y**2 - 86574*y - 624588123 = 0. Calculate y.
-14429
Factor 2*k**2 - 54*k - 740.
2*(k - 37)*(k + 10)
Factor 5*u**5/2 - 6*u**4 + 9*u**3/2 - u**2.
u**2*(u - 1)**2*(5*u - 2)/2
Factor -43903876*i**3 + 43996640*i**2 - 92813*i + 49.
-(i - 1)*(6626*i - 7)**2
Find k, given that 2*k**4 - 1236*k**3 - 1266*k**2 + 17284*k + 29712 = 0.
-3, -2, 4, 619
Suppose -5*q**3 + 3355*q**2 - 86490*q - 289800 = 0. Calculate q.
-3, 30, 644
Let 3*s**3 - 111*s**2 + 144*s + 5508 = 0. Calculate s.
-6, 9, 34
Factor 3*z**2/2 + 8763*z - 35076.
3*(z - 4)*(z + 5846)/2
Determine l, given that 34*l**3/3 - 554*l**2/9 + 220*l/9 = 0.
0, 22/51, 5
Factor 3*k**3 + 67293*k**2.
3*k**2*(k + 22431)
Factor 2*u**2/11 + 456*u/11 - 920/11.
2*(u - 2)*(u + 230)/11
Factor -m**2/9 - 191*m + 37980.
-(m - 180)*(m + 1899)/9
Solve -295*l**2 - 59610*l - 4040 = 0.
-202, -4/59
Find h, given that 4*h**4 - 20396*h**3 - 102072*h**2 - 40864*h + 163328 = 0.
-4, -2, 1, 5104
Determine z so that -4*z**2 - 3344*z - 23212 = 0.
-829, -7
Let 5*y**5/2 - 185*y**4/2 + 2035*y**3/2 - 4735*y**2/2 - 16920*y + 61560 = 0. Calculate y.
-4, 4, 9, 19
Find k, given that -25947*k**5 - 1218393*k**4 + 1349790*k**3 + 2434548*k**2 - 106536*k + 1152 = 0.
-48, -1, 2/93, 2
Factor -5*i**3 + 76045*i**2 - 288723400*i - 3185165500.
-5*(i - 7610)**2*(i + 11)
Suppose -2*c**4/3 - 112*c**3/3 + 3534*c**2 + 112*c/3 - 10600/3 = 0. Calculate c.
-106, -1, 1, 50
Factor 4*v**2 - 191988*v + 383960.
4*(v - 47995)*(v - 2)
Find k, given that -k**5/3 + k**4/3 + 3*k**3 - 5*k**2/3 - 16*k/3 + 4 = 0.
-2, 1, 3
Let -2*v**5/7 + 43968*v**4/7 + 131916*v**3/7 + 131920*v**2/7 + 6282*v = 0. What is v?
-1, 0, 21987
Find c, given that -3*c**5 - 102*c**4 + 7695*c**3 - 109242*c**2 + 407268*c - 437400 = 0.
-75, 2, 3, 18
Solve 245*a**5/4 + 30065*a**4/2 + 462145*a**3/2 + 1007235*a**2 + 5612625*a/4 + 361125/2 = 0 for a.
-1605/7, -10, -3, -1/7
Factor 3*n**4 - 207*n**3 - 5556*n**2 - 10260*n.
3*n*(n - 90)*(n + 2)*(n + 19)
Factor 3*f**4 - 1383*f**3 + 22884*f**2 - 106752*f + 85248.
3*(f - 444)*(f - 8)**2*(f - 1)
Determine a so that 2*a**5 + 2796*a**4 - 31076*a**3 - 109984*a**2 - 115566*a - 39452 = 0.
-1409, -1, 14
Solve -5*v**3 - 2540*v**2 + 5115*v + 7650 = 0.
-510, -1, 3
Determine d, given that 2*d**3/3 + 20*d**2 - 866*d/3 + 492 = 0.
-41, 2, 9
Suppose 4*i**3 + 5516*i**2 - 11044*i + 5524 = 0. What is i?
-1381, 1
Suppose 2*b**5 + 30*b**4 - 738*b**3 + 4482*b**2 - 11016*b + 9720 = 0. What is b?
-30, 3, 6
What is u in u**5/2 - 523*u**4/2 + 1298*u**3 - 1552*u**2 - 1040*u + 2072 = 0?
-1, 2, 518
Find f such that -8*f**5 + 34394*f**4 + 94634*f**3 + 43024*f**2 - 17208*f = 0.
-2, -1, 0, 1/4, 4302
Factor 16*z**3 - 604*z**2 - 1400*z + 5088.
4*(z - 2)*(z + 4)*(4*z - 159)
Suppose -2*o**2 + 950*o - 13800 = 0. What is o?
15, 460
Suppose 4*z**4 - 900*z**3 - 2808*z**2 + 16416*z = 0. What is z?
-6, 0, 3, 228
Let -2*a**3 - 20758*a**2/7 + 47512*a/7 - 11880/7 = 0. Calculate a.
-1485, 2/7, 2
Suppose j**4 + 289*j**3 + 21309*j**2 + 61919*j + 40898 = 0. Calculate j.
-143, -2, -1
Factor -5*u**3 + 17670*u**2 + 355305*u + 337630.
-5*(u - 3554)*(u + 1)*(u + 19)
Factor u**3 - 134*u**2 + 393*u.
u*(u - 131)*(u - 3)
Solve -4*b**3 - 2040*b**2 + 277008*b - 8423456 = 0 for b.
-626, 58
Suppose 2*i**2 + 3121880*i + 1218266841800 = 0. What is i?
-780470
Let 5*n**3 - 5055*n**2 + 424575*n - 9325125 = 0. What is n?
45, 921
Factor -3*l**4/5 + 3657*l**3/5 - 296703*l**2 + 199275747*l/5 + 404514858/5.
-3*(l - 407)**3*(l + 2)/5
Factor 3*b**2 + 133503*b - 133506.
3*(b - 1)*(b + 44502)
Solve -5*d**2 + 4900*d + 105105 = 0 for d.
-21, 1001
Factor -p**3/3 - 614*p**2/3 - 1821*p - 3630.
-(p + 3)*(p + 6)*(p + 605)/3
Solve 2*l**2/13 + 60*l + 11968/13 = 0.
-374, -16
Factor 3*w**3/5 + 1272*w**2/5 + 77244*w/5 - 31920.
3*(w - 2)*(w + 76)*(w + 350)/5
Find k, given that k**3/6 + 180*k**2 + 45448*k/3 = 0.
-988, -92, 0
Factor 4*b**3/7 - 1068*b**2/7 + 3176*b/7 - 2112/7.
4*(b - 264)*(b - 2)*(b - 1)/7
What is p in -3*p**2/7 + 2757*p/7 + 8298/7 = 0?
-3, 922
Factor 5*l**3 + 130740*l**2 + 854647380*l.
5*l*(l + 13074)**2
Let -q**2/12 - 317*q/12 + 3605 = 0. What is q?
-420, 103
Solve 28*y**5 + 380*y**4 + 1832*y**3 + 3952*y**2 + 3744*y + 1152 = 0.
-6, -3, -2, -4/7
Factor -4*j**2 - 140052*j + 280120.
-4*(j - 2)*(j + 35015)
Solve 2*j**2/3 + 3038*j - 18236/3 = 0 for j.
-4559, 2
Factor -4*c**2 - 97476*c.
-4*c*(c + 24369)
Let 3*g**2/8 + 1769799*g/4 + 1044062833467/8 = 0. What is g?
-589933
Suppose -i**5 - 184*i**4 + 12*i**3 + 2192*i**2 - 2944*i = 0. Calculate i.
-184, -4, 0, 2
Factor -2*v**2/13 - 10488*v/13 + 20984/13.
-2*(v - 2)*(v + 5246)/13
Let 4*s**3/3 + 150472*s**2 - 601904*s + 1805728/3 = 0. Calculate s.
-112858, 2
Factor 4*o**3 + 4428*o**2 - 605556*o + 19575108.
4*(o - 63)**2*(o + 1233)
Factor 2*r**2/7 - 40*r + 1088/7.
2*(r - 136)*(r - 4)/7
Determine k so that -5*k**5 - 5125*k**4 - 1403640*k**3 - 45819160*k**2 - 166596560*k - 161063760 = 0.
-494, -33, -2
Let -5*g**3 - 90050*g**2 - 180085*g - 90040 = 0. What is g?
-18008, -1
Factor 4*q**4/5 + 144*q**3/5 - 60*q**2 + 152*q/5.
4*q*(q - 1)**2*(q + 38)/5
Factor -3*x**3 - 285*x**2 + 4176*x - 3888.
-3*(x - 12)*(x - 1)*(x + 108)
Determine z, given that 2*z**5/5 + 62*z**4/5 + 148*z**3/5 - 112*z**2 = 0.
-28, -5, 0, 2
Find l such that l**5/3 + 317*l**4/3 + 25276*l**3/3 + 23696*l**2/3 - 101120*l/3 - 99856/3 = 0.
-158, -2, -1, 2
Factor 5*d**4/3 - 35*d**3/3 - 200*d**2/3 + 500*d/3.
5*d*(d - 10)*(d - 2)*(d + 5)/3
Let 3844*h**5 + 2333556*h**4 + 353060492*h**3 - 332476292*h**2 - 22551936*h - 369664 = 0. What is h?
-304, -1/31, 1
Find k, given that -2*k**4 + 36368*k**3 - 165292556*k**2 - 330694224*k - 165365298 = 0.
-1, 9093
Let -3*i**2/4 - 67329*i - 1511064747 = 0. Calculate i.
-44886
Solve -3*r**4 + 522*r**3 - 30099*r**2 + 564804*r + 595428 = 0.
-1, 58, 59
Factor -n**3/7 + 117*n**2/7 + 1261*n/7 + 1143/7.
-(n - 127)*(n + 1)*(n + 9)/7
Find k, given that 182*k**5/3 + 16384*k**4/9 + 40262*k**3/3 + 884*k**2/9 = 0.
-17, -13, -2/273, 0
Suppose -3*j**5/5 - 159*j**4/5 - 114*j**3 + 894*j**2/5 + 573*j/5 - 147 = 0. Calculate j.
-49, -5, -1, 1
Suppose -4*q**3 + 7784*q**2 - 15556*q + 7776 = 0. What is q?
1, 1944
Factor -v**2/2 + 292*v + 4137/2.
-(v - 591)*(v + 7)/2
Factor 3*k**4 - 3870*k**3 - 11637*k**2.
3*k**2*(k - 1293)*(k + 3)
Factor -a**3 + 3995*a**2 - 3980000*a - 20000000.
-(a - 2000)**2*(a + 5)
Factor -7*b**2/6 - 3023*b/6 + 72.
-(b + 432)*(7*b - 1)/6
Factor l**2/5 - 20636*l - 206364/5.
(l - 103182)*(l + 2)/5
Factor -5*n**5 - 28060*n**4 - 39368180*n**3.
-5*n**3*(n + 2806)**2
Factor 3*d**2 - 36705*d - 367350.
3*(d - 12245)*(d + 10)
Suppose -79707*d**2 - 968220*d - 2940300 = 0. What is d?
-990/163
Factor -5*f**3 + 620*f**2 - 15225*f + 105750.
-5*(f - 94)*(f - 15)**2
Solve 5*v**4 - 7488*v**3 - 185521*v**2 - 248040*v - 70012 = 0.
-23, -1, -2/5, 1522
Find j, given that -10*j**5 - 43342*j**4 - 234837758*j**3/5 - 9364042*j**2 + 150233776*j/5 - 37567112/5 = 0.
-2167, -1, 2/5
Factor 4*s**3/7 - 64*s**2/7 - 68*s/7.
4*s*(s - 17)*(s + 1)/7
Solve -l**4/2 + 259*l**3/2 + 2119*l**2/2 + 4529*l/2 + 1335 = 0 for l.
-5, -2, -1, 267
Determine z, given that 162*z**2/13 - 147262*z/13 + 3636/13 = 0.
2/81, 909
Factor -2*x**3/17 + 10206*x**2/17 - 20406*x/17 + 10202/17.
-2*(x - 5101)*(x - 1)**2/17
Factor 242*z**4 + 552420*z**3 + 315456866*z**2 + 229204080*z + 41660192.
2*(z + 1141)**2*(11*z + 4)**2
What is f in f**2/5 + 3643*f/5 + 32706/5 = 0?
-3634, -9
Suppose -t**4 - 61*t**3 + 861*t**2 + 69889*t - 70688 = 0. What is t?
-47, 1, 32
Solve 2*t**5/5 - 4*t**4 - 138*t**3/5 + 308*t**2/5 + 904*t/5 - 336 = 0 for t.
-5, -3, 2, 14
