lve 3*i**5 + 438*i**4 + 15012*i**3 - 76950*i**2 - 354375*i = 0 for i.
-75, -3, 0, 7
Suppose u**3/6 - 13*u**2/3 - 407*u/6 = 0. What is u?
-11, 0, 37
Factor -2*i**3 + 1899*i**2 + 951*i - 950.
-(i - 950)*(i + 1)*(2*i - 1)
Factor 2*o**2/3 + 41800*o + 655215000.
2*(o + 31350)**2/3
Find p, given that 2*p**3/9 + 128*p**2/9 - 262*p/9 + 44/3 = 0.
-66, 1
Find h, given that -2*h**4/21 - 18*h**3/7 - 74*h**2/7 + 614*h/21 - 16 = 0.
-21, -8, 1
What is c in 45*c**5 + 1050*c**4 + 6665*c**3 + 6000*c**2 - 6380*c + 1200 = 0?
-12, -10, -2, 1/3
Let -46*g**3/3 + 22306*g**2/3 + 114640*g/3 + 9800/3 = 0. What is g?
-5, -2/23, 490
Find z, given that 2*z**3/11 - 90*z**2/11 + 622*z/11 - 1110/11 = 0.
3, 5, 37
Determine q so that 2*q**4/17 + 562*q**3/17 - 444*q**2 + 1656*q - 21168/17 = 0.
-294, 1, 6
Factor -3*a**3/5 - 621*a**2/5 - 2958*a/5 + 14544/5.
-3*(a - 3)*(a + 8)*(a + 202)/5
Factor i**2 + 980*i + 6811.
(i + 7)*(i + 973)
Suppose -2*h**4 - 1498*h**3 - 8934*h**2 - 13374*h = 0. What is h?
-743, -3, 0
Determine o so that 2*o**2/11 + 60*o + 1312/11 = 0.
-328, -2
Find o, given that -9*o**4 + 33*o**3 + 345*o**2 - 1929*o + 2520 = 0.
-7, 8/3, 3, 5
Solve -4*p**4 - 2064*p**3 - 8176*p**2 + 8256*p + 32768 = 0.
-512, -4, -2, 2
Factor 3*n**2 - 523812*n + 22864917612.
3*(n - 87302)**2
Factor 2*t**4/9 - 314*t**3/9 + 2690*t**2/3 - 6350*t.
2*t*(t - 127)*(t - 15)**2/9
Factor -2*n**3/15 - 1208*n**2/5 - 118014*n/5 - 593028.
-2*(n + 51)**2*(n + 1710)/15
Factor -2*y**2 - 543384*y - 36908271432.
-2*(y + 135846)**2
Find j, given that -4*j**4 + 540*j**3 + 12*j**2 - 1612*j - 1080 = 0.
-1, 2, 135
Factor 2880*u**3 - 1318800*u**2 - 109915*u - 2290.
5*(u - 458)*(24*u + 1)**2
Let 39*d**4 - 35757*d**3 - 113142*d**2 - 16560*d = 0. What is d?
-3, -2/13, 0, 920
Factor -p**3 - 36916*p**2 - 73829*p - 36914.
-(p + 1)**2*(p + 36914)
Determine i, given that 2*i**2 + 11554*i + 264684 = 0.
-5754, -23
Let q**5/4 - 29*q**4/4 - 3733*q**3/4 + 94277*q**2/4 + 880404*q - 18509211 = 0. What is q?
-42, 19, 47
Let 24*l**5 - 4516*l**4 + 43880*l**3 - 80004*l**2 + 46312*l - 5696 = 0. Calculate l.
1/6, 1, 8, 178
Solve 2*q**4/7 - 900*q**3/7 - 6*q**2/7 + 2704*q/7 - 1800/7 = 0 for q.
-2, 1, 450
Suppose -q**2 - 434320*q + 434321 = 0. What is q?
-434321, 1
Factor -2*v**3/3 - 532*v**2/3 - 7360*v - 83712.
-2*(v + 24)**2*(v + 218)/3
Factor -u**3/3 - 20219*u**2/3 + 47194*u.
-u*(u - 7)*(u + 20226)/3
Find s such that 28*s**4/9 - 33820*s**3/9 - 35500*s**2/3 - 82340*s/9 - 9688/9 = 0.
-2, -1, -1/7, 1211
Factor 36*z**2 + 59512*z + 6612.
4*(z + 1653)*(9*z + 1)
Let 4*z**2 - 170258*z - 85130 = 0. Calculate z.
-1/2, 42565
Let -3*m**3/4 - 1083*m**2/4 + 20691*m/2 - 19602 = 0. Calculate m.
-396, 2, 33
Factor -35*z**3 - 340*z**2 + 19385*z - 5510.
-5*(z - 19)*(z + 29)*(7*z - 2)
What is d in -d**4/3 - 356*d**3/3 - 10561*d**2 + 356*d/3 + 31684/3 = 0?
-178, -1, 1
Suppose 1323*a**3/2 + 6567*a**2 + 15396*a - 1152 = 0. What is a?
-6, -4, 32/441
Let -2*d**2/7 + 33608*d - 988310456 = 0. What is d?
58814
Suppose -2*g**2/11 + 274*g/11 - 5424/11 = 0. What is g?
24, 113
Let l**2/3 - 86*l - 31416 = 0. Calculate l.
-204, 462
What is p in -3332*p**3/3 + 13315*p**2/3 - 13276*p/3 - 52/3 = 0?
-13/3332, 2
Determine u so that 2*u**4/3 - 446*u**3/3 + 7588*u**2 + 235712*u/3 + 376768/3 = 0.
-7, -2, 116
Solve -2*m**2/3 + 164*m/3 - 1904/3 = 0 for m.
14, 68
Factor 2*w**3/11 + 70*w**2/11 - 784*w/11 - 4128/11.
2*(w - 12)*(w + 4)*(w + 43)/11
Solve -2*n**2/11 - 49636*n/11 - 148890/11 = 0.
-24815, -3
Let -5*a**3/3 + 410*a**2 + 1675*a - 6250/3 = 0. Calculate a.
-5, 1, 250
Factor 5*a**2 + 2035*a + 116610.
5*(a + 69)*(a + 338)
Find u such that -u**4/2 - 37*u**3/2 - 341*u**2/2 + 37*u/2 + 171 = 0.
-19, -18, -1, 1
Factor 3*i**3/5 + 48*i**2/5 - 321*i + 7854/5.
3*(i - 11)*(i - 7)*(i + 34)/5
Factor u**2/4 + 173*u/4 - 6129/2.
(u - 54)*(u + 227)/4
Determine k, given that 5*k**3 + 3055*k**2 + 112080*k + 308880 = 0.
-572, -36, -3
Let -2*l**5 + 3133*l**4/2 + 12250*l**3 + 16611*l**2/2 = 0. Calculate l.
-7, -3/4, 0, 791
Find j such that 2*j**3 + 160*j**2 - 3654*j - 12348 = 0.
-98, -3, 21
Determine o so that o**2 + 726425*o - 726426 = 0.
-726426, 1
Solve 74*t**2 + 130458*t - 7052 = 0 for t.
-1763, 2/37
Suppose 2*d**5/5 - 198*d**4 - 8074*d**3/5 + 13014*d**2/5 + 32264*d/5 - 36216/5 = 0. What is d?
-9, -2, 1, 2, 503
Factor -4*w**3 - 572*w**2 - 19964*w + 20540.
-4*(w - 1)*(w + 65)*(w + 79)
Let -u**4 + 5475*u**3 + 3*u**2 - 16427*u + 10950 = 0. What is u?
-2, 1, 5475
Let 5*r**2/4 + 235*r/4 - 5700 = 0. Calculate r.
-95, 48
Factor -2*y**2/17 + 798440*y/17 - 79688304200/17.
-2*(y - 199610)**2/17
Solve -44*j**4 + 1714*j**3 + 78*j**2 = 0 for j.
-1/22, 0, 39
Suppose -36*n**5 - 285*n**4/2 - 75*n**3 + 120*n**2 + 111*n + 45/2 = 0. What is n?
-3, -1, -5/8, -1/3, 1
Factor -m**5/5 - 386*m**4/5 + 1188*m**3 - 5990*m**2 + 10025*m.
-m*(m - 5)**3*(m + 401)/5
What is s in -s**2 - 2849*s + 68952 = 0?
-2873, 24
Determine p, given that -4*p**5 + 104*p**4 - 944*p**3 + 3040*p**2 + 1536*p - 18432 = 0.
-2, 6, 8
Factor 2*i**5 - 211894*i**4 + 5612701238*i**3 - 16836832370*i**2 + 16836408592*i - 5612065568.
2*(i - 52972)**2*(i - 1)**3
Factor -2*c**3/5 - 56*c**2/5 - 402*c/5 - 756/5.
-2*(c + 3)*(c + 7)*(c + 18)/5
Factor -n**2 + 1570*n - 73056.
-(n - 1522)*(n - 48)
Factor -2*t**2 + 268*t + 1680.
-2*(t - 140)*(t + 6)
Determine u so that 2*u**2 + 3124*u + 162864 = 0.
-1508, -54
Factor 2*c**2 - 91536*c.
2*c*(c - 45768)
Find t, given that t**4/6 - 7*t**3/3 - 865*t**2/6 - 3425*t/3 - 1000 = 0.
-15, -10, -1, 40
Solve -s**5 - 709807*s**4 - 709806*s**3 = 0 for s.
-709806, -1, 0
Solve -k**2/6 - 1867*k - 11200/3 = 0 for k.
-11200, -2
Let -2*c**5/7 - 16*c**4/7 + 306*c**3/7 = 0. Calculate c.
-17, 0, 9
Factor -2*m**2/15 + 8886*m.
-2*m*(m - 66645)/15
Let d**2/2 - 1155*d/2 = 0. Calculate d.
0, 1155
Solve a**4/2 - 83*a**3 - 6843*a**2/2 - 42484*a - 170690 = 0 for a.
-13, -10, 202
Suppose 2*m**3 - 46300*m**2 = 0. Calculate m.
0, 23150
Determine l so that -91*l**3 - 1550*l**2 + 35439*l + 1170 = 0.
-30, -3/91, 13
Factor 8*c**3/7 - 338*c**2/7 + 12*c.
2*c*(c - 42)*(4*c - 1)/7
Factor -2*f**4/7 + 86*f**3/7 + 816*f**2/7.
-2*f**2*(f - 51)*(f + 8)/7
Factor -3*v**3/5 - 7383*v**2/5 - 449097*v/5 - 6916317/5.
-3*(v + 31)**2*(v + 2399)/5
Factor 2*o**3 + 138*o**2 + 888*o + 1240.
2*(o + 2)*(o + 5)*(o + 62)
Determine t so that 3*t**4/7 + 4488*t**3/7 + 31299*t**2/7 + 44670*t/7 = 0.
-1489, -5, -2, 0
Let -r**5 - 280*r**4 - 26310*r**3 - 846760*r**2 - 1615705*r - 794976 = 0. What is r?
-96, -91, -1
Factor 5*q**3 - 97810*q**2 + 478437600*q - 956484000.
5*(q - 9780)**2*(q - 2)
Factor 2*s**4/5 + 33346*s**3/5 + 139011136*s**2/5 + 138977792*s/5.
2*s*(s + 1)*(s + 8336)**2/5
Solve 2*a**5/7 + 20*a**4/7 - 122*a**3/7 - 548*a**2/7 + 456*a/7 + 1872/7 = 0 for a.
-13, -3, -2, 2, 6
Suppose -3*b**5/5 + 1728*b**4/5 - 3447*b**3/5 + 1722*b**2/5 = 0. Calculate b.
0, 1, 574
Find g, given that -2*g**5/7 - 568*g**4/7 - 36584*g**3/7 + 80192*g**2 + 2666368*g/7 + 2803712/7 = 0.
-148, -2, 16
Factor 4*d**2/5 + 856*d/5 - 490028/5.
4*(d - 259)*(d + 473)/5
Factor -5*z**2/4 + 14930*z - 29855.
-5*(z - 11942)*(z - 2)/4
Let 8*t**2/3 + 98444*t/3 - 16408 = 0. What is t?
-12306, 1/2
Find j such that 3*j**2 + 78612*j + 78609 = 0.
-26203, -1
Find i, given that -2*i**5/19 + 34*i**4/19 + 162*i**3/19 - 2754*i**2/19 = 0.
-9, 0, 9, 17
Determine g, given that 2*g**4/5 + 166*g**3/5 - 1998*g**2/5 + 1306*g - 940 = 0.
-94, 1, 5
Let -4*w**5 + 208*w**4 - 3336*w**3 + 18848*w**2 - 18260*w - 40656 = 0. Calculate w.
-1, 3, 11, 28
Solve 2*r**2/13 + 220556*r/13 + 6080618642/13 = 0 for r.
-55139
Suppose 80*r**4/7 + 5428*r**3/7 + 91664*r**2/7 - 13872*r/7 = 0. Calculate r.
-34, 0, 3/20
Factor -2*y**3/7 - 238*y**2 - 54880*y - 2151296.
-2*(y + 49)*(y + 392)**2/7
Determine o so that -20*o**3 - 3915*o**2 - 63100*o + 16020 = 0.
-178, -18, 1/4
Factor -44*w**3 - 640*w**2 - 2948*w - 4368.
-4*(w + 4)*(w + 7)*(11*w + 39)
Factor -i**2 - 163768*i - 6704989456.
-(i + 81884)**2
Factor 2*g**2/7 - 638828*g/7 + 51012651698/7.
2*(g - 159707)**2/7
Solve 2*i**3 - 7084*i**2 - 2*i + 7084 = 0.
-1, 1, 3542
Let 2*f**2/3 + 2356*f/3 - 33376/3 = 0. Calculate f.
-1192, 14
Find b such that 25*b**3/2 + 337515*b**2 - 270018*b + 54004 = 0.
-27002, 2/5
Factor 76*i**3 - 95440*i**2 + 29953088*i + 6310144.
4*(i - 628)**2*(19*i + 4)
Factor 19*l**3/5 - 110*l**2 + 22