509)**2/13
Factor 5*h**4 + 4960*h**3 - 15065*h**2 - 139300*h.
5*h*(h - 7)*(h + 4)*(h + 995)
Factor a**3/6 - 227*a**2/6 - 704*a + 13608.
(a - 243)*(a - 12)*(a + 28)/6
Determine y, given that 3*y**4/2 + 57*y**3/2 + 168*y**2 + 288*y = 0.
-8, -3, 0
Factor -3*s**4 + 186*s**3 - 2691*s**2.
-3*s**2*(s - 39)*(s - 23)
Factor -z**2/5 - 40481*z.
-z*(z + 202405)/5
Find c such that -12*c**4/7 + 1767*c**3/7 - 10593*c**2/7 + 2538*c/7 = 0.
0, 1/4, 6, 141
Suppose -k**5/2 - 1227*k**4/2 - 407963*k**3/2 - 19012237*k**2/2 - 18402744*k - 9099994 = 0. Calculate k.
-586, -53, -1
Factor 2*i**4/5 + 1082*i**3/5 + 144704*i**2/5 - 443904*i/5.
2*i*(i - 3)*(i + 272)**2/5
Factor l**2 - 45060*l + 507600900.
(l - 22530)**2
Factor s**2/4 - 845*s.
s*(s - 3380)/4
Factor -4*l**2/5 + 12124*l/5 + 12128/5.
-4*(l - 3032)*(l + 1)/5
Factor f**3/2 - 1841*f**2/2 - f/2 + 1841/2.
(f - 1841)*(f - 1)*(f + 1)/2
Factor 5*q**2 + 40940*q + 81860.
5*(q + 2)*(q + 8186)
Find d, given that -5*d**3 - 274790*d**2 + 5*d + 274790 = 0.
-54958, -1, 1
Factor -2*n**3 - 1178*n**2 + 184488*n - 542808.
-2*(n - 126)*(n - 3)*(n + 718)
Solve 2*m**2/9 - 2984*m + 214720/9 = 0 for m.
8, 13420
Factor u**3/5 - 771*u**2/5 + 2306*u/5 - 1536/5.
(u - 768)*(u - 2)*(u - 1)/5
Let 3*w**5 + 279*w**4 + 8739*w**3 + 94953*w**2 + 86490*w = 0. What is w?
-31, -30, -1, 0
Find q, given that 2*q**5 - 2456*q**4 + 721234*q**3 + 20212148*q**2 + 72115032*q + 69190704 = 0.
-22, -2, 627
Solve -18*v**5/11 - 30*v**4/11 + 41614*v**3/11 + 151958*v**2/11 - 64516*v/11 - 36848/11 = 0.
-47, -4, -1/3, 2/3, 49
Find r, given that -3*r**4/8 - 93*r**3/8 - 615*r**2/8 + 1521*r/8 - 405/4 = 0.
-18, -15, 1
Solve s**5 + 82*s**4 - 257*s**3 - 158*s**2 + 1012*s - 680 = 0.
-85, -2, 1, 2
Solve -4*r**2/7 - 90890*r/7 - 6492 = 0 for r.
-22722, -1/2
Suppose -2*n**3 + 694*n**2 - 59892*n = 0. Calculate n.
0, 161, 186
Factor 4*r**2 - 5984*r + 344640.
4*(r - 1436)*(r - 60)
Solve 28*h**5 - 1964*h**4 - 7928*h**3 - 4880*h**2 + 10528*h + 9472 = 0.
-2, -1, 8/7, 74
Let -5*r**2/4 + 1260845*r/4 = 0. What is r?
0, 252169
Factor -h**2/4 + 101549*h/2 - 10312199401/4.
-(h - 101549)**2/4
Factor 45*p**3 - 37855*p**2 - 885830*p + 198720.
5*(p - 864)*(p + 23)*(9*p - 2)
Suppose -5*l**5 - 105015*l**4 - 551774875*l**3 - 3857175125*l**2 + 551774880*l + 3857280140 = 0. Calculate l.
-10498, -7, -1, 1
Find c such that 5*c**4 - 460*c**3 - 565*c**2 + 9300*c = 0.
-5, 0, 4, 93
Solve -x**5/4 + 391*x**4/4 + 2407*x**3/4 - 9943*x**2/4 + 3573*x/2 = 0.
-9, 0, 1, 2, 397
Suppose 2*q**3/3 - 264*q**2 - 2390*q/3 - 532 = 0. Calculate q.
-2, -1, 399
Determine d so that -d**2/5 - 37483*d - 749644/5 = 0.
-187411, -4
Let -4*r**4 - 28*r**3 + 2356*r**2 + 28*r - 2352 = 0. What is r?
-28, -1, 1, 21
Factor 3*w**4 - 5529*w**3 + 11037*w**2 + 16569*w.
3*w*(w - 1841)*(w - 3)*(w + 1)
Find m, given that 35*m**5 + 6940*m**4 - 5720*m**3 - 146890*m**2 + 272085*m + 89550 = 0.
-199, -5, -2/7, 3
Let 2*g**4/9 - 3800*g**3 + 34196*g**2/3 - 102584*g/9 + 11398/3 = 0. What is g?
1, 17097
Let -2*t**3/13 - 41932*t**2/13 = 0. Calculate t.
-20966, 0
Factor -4*a**2/9 + 5492*a/9 + 11032/3.
-4*(a - 1379)*(a + 6)/9
Factor -4*j**3 + 24*j**2 + 364*j.
-4*j*(j - 13)*(j + 7)
Factor -3*a**3/8 + 2151*a**2/8 - 78489*a/8 + 735357/8.
-3*(a - 679)*(a - 19)**2/8
Suppose -3*j**4 + 13848*j**3 + 194301*j**2 + 736050*j + 555600 = 0. What is j?
-8, -5, -1, 4630
Solve -5*r**4 - 185*r**3 + 1515*r**2 + 9425*r - 10750 = 0 for r.
-43, -5, 1, 10
Find h, given that -h**2/2 - 4094*h + 8189/2 = 0.
-8189, 1
Factor -3*j**5 - 1170*j**4 + 275400*j**3 + 169715250*j**2 + 18654046875*j.
-3*j*(j - 375)*(j + 255)**3
Let 4*w**5 - 1928*w**4 + 3828*w**3 + 5776*w**2 - 7664*w - 7680 = 0. Calculate w.
-1, 2, 480
Factor 5*z**3/4 - 10995*z**2 + 43965*z - 43960.
5*(z - 8792)*(z - 2)**2/4
Solve 2*a**3/7 + 788*a**2/7 - 3184*a/7 = 0 for a.
-398, 0, 4
Factor 11408*j**2 - 22780*j - 72.
4*(j - 2)*(2852*j + 9)
Let -4*o**3/3 + 384*o**2 - 9020*o/3 + 5600 = 0. Calculate o.
3, 5, 280
Find p, given that -2*p**4/17 + 144*p**3/17 - 1722*p**2/17 - 11804*p/17 - 9936/17 = 0.
-4, -1, 23, 54
Factor -3*v**2 - 138*v + 17613.
-3*(v - 57)*(v + 103)
Suppose -3*d**4 - 2001066*d**3 - 333690762423*d**2 - 667375521660*d - 333686760300 = 0. Calculate d.
-333510, -1
Find j, given that 2*j**3 - 5096*j**2 + 35574*j = 0.
0, 7, 2541
Factor 2*w**3/3 - 1041040*w**2/3 + 135470535200*w/3.
2*w*(w - 260260)**2/3
Factor 12*s**2 + 394269*s + 295695.
3*(s + 32855)*(4*s + 3)
Determine d so that 2*d**4/9 - 28934*d**3/9 - 173654*d**2/9 - 318394*d/9 - 57892/3 = 0.
-3, -2, -1, 14473
Factor 4*o**3 - 16904*o**2 - 4*o + 16904.
4*(o - 4226)*(o - 1)*(o + 1)
Let v**5 + 216*v**4 + 1265*v**3 + 1050*v**2 = 0. What is v?
-210, -5, -1, 0
Factor 3*v**2 + 250878*v + 5244980907.
3*(v + 41813)**2
Suppose -3*q**3 - 60852*q**2 - 182535*q - 121686 = 0. What is q?
-20281, -2, -1
Suppose -2*r**2/7 + 300*r/7 - 4050/7 = 0. What is r?
15, 135
Let n**2 + 932744*n + 217502842384 = 0. What is n?
-466372
Find v such that 2*v**4 + 560*v**3 + 26192*v**2 + 98112*v + 95904 = 0.
-222, -54, -2
Let 5*y**5 - 1690*y**4 + 207185*y**3 - 10755500*y**2 + 195550000*y - 185000000 = 0. What is y?
1, 37, 100
Determine y, given that 4*y**4 + 5476*y**3 - 83508*y**2 - 648468*y - 1046304 = 0.
-1384, -3, 21
Factor a**2/7 + 4832*a/7 + 124956/7.
(a + 26)*(a + 4806)/7
Suppose -4*j**2 + 3752*j + 3756 = 0. What is j?
-1, 939
Solve -o**5/5 - 79*o**4/5 + 534*o**3/5 + 2066*o**2/5 + 2219*o/5 + 153 = 0.
-85, -1, 9
Suppose 24*g**4/7 + 11002*g**3/7 + 35569*g**2/7 + 30053*g/7 + 5462/7 = 0. Calculate g.
-2731/6, -2, -1, -1/4
Suppose -4*g**2 + 25180*g - 75504 = 0. What is g?
3, 6292
Suppose 2*g**3 - 40*g**2 - 32*g + 640 = 0. What is g?
-4, 4, 20
Determine f, given that -2*f**4/13 - 12678*f**3/13 + 50744*f**2/13 = 0.
-6343, 0, 4
Find z, given that 4*z**5/3 - 96*z**4 - 36136*z**3/3 - 289696*z**2 - 1473780*z = 0.
-33, -7, 0, 145
Factor 5*q**4 - 325*q**3 - 8320*q**2 - 15300*q.
5*q*(q - 85)*(q + 2)*(q + 18)
Let 102*l**4 + 2024*l**3 + 1526*l**2 - 2132*l - 1520 = 0. Calculate l.
-19, -20/17, -2/3, 1
Determine u, given that 5*u**2 + 615870*u = 0.
-123174, 0
Find i such that 3*i**2/2 - 4728*i - 9459/2 = 0.
-1, 3153
Suppose -4*o**2 - 42513*o + 31887 = 0. What is o?
-10629, 3/4
Factor t**2 + 10200*t + 26010000.
(t + 5100)**2
Find d, given that 3*d**3 + 58677*d**2 + 286298760*d - 6038178300 = 0.
-9790, 21
Factor 15*r**3 + 1465*r**2 + 2360*r - 3840.
5*(r - 1)*(r + 96)*(3*r + 8)
Determine f so that 3*f**4/5 + 123*f**3/5 + 1314*f**2/5 + 3552*f/5 - 4992/5 = 0.
-26, -8, 1
Solve -2*g**2/17 + 910*g/17 + 5532/17 = 0 for g.
-6, 461
Factor -12*u**5 + 1076*u**4 - 712*u**3.
-4*u**3*(u - 89)*(3*u - 2)
Determine a so that 2*a**4/15 - 22*a**3/15 - 722*a**2/15 + 3238*a/15 + 5152/5 = 0.
-16, -3, 7, 23
Find p such that -p**4/6 - 24941*p**3 - 5597733049*p**2/6 + 9331425740*p - 69990369800/3 = 0.
-74828, 5
What is z in 2*z**4/9 + 262*z**3/9 + 494*z**2/3 - 2278*z/9 - 3500/9 = 0?
-125, -7, -1, 2
Factor 4*t**2 - 10936*t - 176000.
4*(t - 2750)*(t + 16)
Factor -2*k**3/5 - 256*k**2/5 + 25784*k - 1684320.
-2*(k - 110)**2*(k + 348)/5
Find f, given that -f**2/4 - 83640*f + 334561/4 = 0.
-334561, 1
Let -2*f**3/9 - 35594*f**2/9 - 158419982*f/9 - 158313218/3 = 0. What is f?
-8897, -3
Solve -2*n**2/11 + 5760*n/11 - 5758/11 = 0.
1, 2879
Determine u so that u**4/4 + 6*u**3 - 659*u**2/4 + 807*u/2 + 574 = 0.
-41, -1, 4, 14
Factor 3*r**3 - 864*r**2 - 10692*r - 32400.
3*(r - 300)*(r + 6)**2
Factor 2*q**2 - 19972*q + 19970.
2*(q - 9985)*(q - 1)
Factor 14*p**2/5 - 132*p/5 + 288/5.
2*(p - 6)*(7*p - 24)/5
Find n, given that n**4/2 - 1723*n**3/2 - 2588*n**2 - 1726*n = 0.
-2, -1, 0, 1726
What is v in 2*v**4/9 - 29720*v**3/9 + 110439508*v**2/9 - 220671016*v/9 - 110380082/3 = 0?
-1, 3, 7429
Factor 18*j**2/5 - 3034176*j/5 - 2022792/5.
6*(j - 168566)*(3*j + 2)/5
Factor -r**2/3 + 2593*r/3.
-r*(r - 2593)/3
Solve -5*t**2 - 566660*t - 16055177780 = 0 for t.
-56666
Suppose -3*w**3 - 2718*w**2 - 21600*w - 43104 = 0. Calculate w.
-898, -4
Factor 2*n**2/11 - 824*n/11 + 14184/11.
2*(n - 394)*(n - 18)/11
Factor -4*o**2/3 + 2548*o/3 - 123848.
-4*(o - 411)*(o - 226)/3
What is x in 2*x**2/5 + 73492*x/5 - 146992/5 = 0?
-36748, 2
Factor 3*r**3/7 + 33*r**2 - 3783*r/7 + 507.
3*(r - 13)*(r - 1)*(r + 91)/7
Find y such that -2*y**2/7 + 3698*y/7 + 18540/7 = 0.
-5, 1854
Facto