4, 746
Let -11*c**3 - 78*c**2 - 73*c - 6 = 0. Calculate c.
-6, -1, -1/11
Let -2*f**4/9 + 2*f**3 - 26*f**2/9 - 10*f + 100/9 = 0. What is f?
-2, 1, 5
Factor w**3/2 + 3*w**2 + 11*w/2 + 3.
(w + 1)*(w + 2)*(w + 3)/2
Factor 3*m**5 + 3*m**4 - 9*m**3 - 3*m**2 + 6*m.
3*m*(m - 1)**2*(m + 1)*(m + 2)
Find v, given that 4*v**5/7 + 24*v**4/7 - 80*v**3/7 - 120*v**2/7 + 76*v/7 + 96/7 = 0.
-8, -1, 1, 3
What is t in -3*t**4/5 + 123*t**3/5 - 696*t**2/5 - 13248*t/5 + 13824/5 = 0?
-8, 1, 24
Find w such that w**2/3 + 23*w/3 - 8 = 0.
-24, 1
Suppose -17*l**3 - 15*l**2/2 + 26*l - 3/2 = 0. Calculate l.
-3/2, 1/17, 1
Factor 6*g**2/5 - 1752*g/5.
6*g*(g - 292)/5
Factor -p**4/2 - 82*p**3.
-p**3*(p + 164)/2
Factor 2*u**2 - 92*u.
2*u*(u - 46)
Determine a, given that -2*a**3 - 3708*a**2 - 2291544*a - 472058064 = 0.
-618
Factor -4*l**3 + 788*l**2 + 800*l - 1584.
-4*(l - 198)*(l - 1)*(l + 2)
Solve 5*a**5 - 1010*a**4 + 44645*a**3 + 635900*a**2 + 2679280*a + 3663680 = 0.
-4, 107
Let -2*y**3 - 6*y**2 + 2*y + 6 = 0. Calculate y.
-3, -1, 1
Factor -5*n**3 + 65*n**2 - 115*n + 55.
-5*(n - 11)*(n - 1)**2
Factor -3*t**4 + 2487*t**3 + 4986*t**2.
-3*t**2*(t - 831)*(t + 2)
Factor -u**4/5 + 2*u**3/5 + 7*u**2/5 + 4*u/5.
-u*(u - 4)*(u + 1)**2/5
Determine f so that 5*f**4/2 - 20*f**3 - 55*f**2/2 + 45*f = 0.
-2, 0, 1, 9
Factor 3*s**4 + 216*s**3 + 3186*s**2 - 25272*s + 41067.
3*(s - 3)**2*(s + 39)**2
Find g such that g**4/4 - 113*g**3/4 + 3357*g**2/4 - 9295*g/4 + 3025/2 = 0.
1, 2, 55
Factor 4*z**4 - 92*z**3 - 300*z**2 - 308*z - 104.
4*(z - 26)*(z + 1)**3
Let 153*l**2/5 + 147*l/5 - 6/5 = 0. What is l?
-1, 2/51
Find l such that l**3 + 2*l**2/3 - l/3 = 0.
-1, 0, 1/3
Solve -722*p**2 + 76*p - 2 = 0.
1/19
Let -57*s**2 + 51*s + 6 = 0. Calculate s.
-2/19, 1
Factor 3*u**2/2 + 15*u + 24.
3*(u + 2)*(u + 8)/2
Solve -5*i**3 + 455*i**2 - 450*i = 0 for i.
0, 1, 90
Factor -s**2/4 - 5*s/2 + 6.
-(s - 2)*(s + 12)/4
Factor -4*a**2 - 34*a + 18.
-2*(a + 9)*(2*a - 1)
Factor 3*j**3/7 - 6*j**2/7 - 72*j/7.
3*j*(j - 6)*(j + 4)/7
Factor 4*o**2/5 + 4*o + 24/5.
4*(o + 2)*(o + 3)/5
What is x in x**2/3 + 324*x + 78732 = 0?
-486
Determine l so that l**4/6 - 3*l**3/2 + l**2/2 + 89*l/6 - 14 = 0.
-3, 1, 4, 7
Factor 4*z**5 + 8*z**4 - 16*z**3 - 8*z**2 + 12*z.
4*z*(z - 1)**2*(z + 1)*(z + 3)
Factor -60*p**2 - 123*p - 6.
-3*(p + 2)*(20*p + 1)
Find j, given that 14*j**5/5 - 128*j**4/5 + 118*j**3/5 + 92*j**2/5 - 96*j/5 = 0.
-6/7, 0, 1, 8
Solve g**3 - 345*g**2 = 0 for g.
0, 345
Determine w so that 48*w**4 + 72*w**3 - 45*w**2 + 6*w = 0.
-2, 0, 1/4
Suppose 2*o**4 + 66*o**3 - 296*o**2 = 0. What is o?
-37, 0, 4
Find y, given that 4*y**5/3 + 28*y**4/3 + 20*y**3 + 12*y**2 = 0.
-3, -1, 0
Factor 3*t**3 - 213*t**2 + 210*t.
3*t*(t - 70)*(t - 1)
Solve g**3/5 - 13*g**2/5 - 52*g/5 + 64/5 = 0 for g.
-4, 1, 16
Suppose 2*t**4/7 - 678*t**3/7 + 2022*t**2/7 - 2018*t/7 + 96 = 0. Calculate t.
1, 336
Let 3*d**3/7 + 54*d**2 + 1476*d/7 + 1464/7 = 0. Calculate d.
-122, -2
Factor m**2/5 + 68*m/5 + 67/5.
(m + 1)*(m + 67)/5
Find f such that -8*f**5/3 + 26*f**4/3 + 386*f**3/3 + 358*f**2/3 - 326*f + 72 = 0.
-4, -3, 1/4, 1, 9
Find s, given that -5*s**5 + 545*s**4 - 11495*s**3 - 186645*s**2 - 336600*s - 162000 = 0.
-9, -1, 60
Factor 2*c**3/17 - 104*c**2/17 + 1352*c/17.
2*c*(c - 26)**2/17
Solve 243*a**2/4 + 4509*a/2 + 83667/4 = 0.
-167/9
Solve 64*o**3 + 192*o**2 - 196*o - 60 = 0 for o.
-15/4, -1/4, 1
Factor 3*t**3 + 72*t**2 - 327*t + 252.
3*(t - 3)*(t - 1)*(t + 28)
Determine j, given that -2*j**4 + 29*j**3/4 - 3*j**2 - 9*j/4 = 0.
-3/8, 0, 1, 3
Factor -2*o**2/9 + 2*o.
-2*o*(o - 9)/9
Factor 5*m**2 + 915*m - 920.
5*(m - 1)*(m + 184)
Factor -9*o**3 - 1392*o**2 - 924*o.
-3*o*(o + 154)*(3*o + 2)
Factor -3*t**2 - 1140*t - 2268.
-3*(t + 2)*(t + 378)
Solve 2*h**3/11 - 8*h**2 + 466*h/11 - 380/11 = 0.
1, 5, 38
Determine t, given that t**4 + 35*t**3/4 - 73*t**2/4 - 56*t + 15 = 0.
-10, -2, 1/4, 3
Let -i**5 - 21*i**4 = 0. Calculate i.
-21, 0
Let 180*f**5 + 485*f**4 + 1135*f**3/3 + 25*f**2 - 45*f + 10/3 = 0. Calculate f.
-1, 1/12, 2/9
Factor x**3 - 185*x**2 - 188*x + 372.
(x - 186)*(x - 1)*(x + 2)
Factor -3*p**4/2 + 13*p**3/2 - p**2 - 4*p.
-p*(p - 4)*(p - 1)*(3*p + 2)/2
Suppose -30*u**2/11 - 12*u/11 = 0. What is u?
-2/5, 0
Suppose b**2/4 - 15*b/4 - 225/2 = 0. What is b?
-15, 30
Determine o so that -2*o**4 - 4*o**3 + 6*o**2 + 16*o + 8 = 0.
-2, -1, 2
Determine b, given that 5*b**4 + 5*b**3 - 60*b**2 - 140*b - 80 = 0.
-2, -1, 4
Suppose -4*u**4 - 84*u**3 + 188*u**2 + 84*u - 184 = 0. Calculate u.
-23, -1, 1, 2
Factor 2*v**3/13 + 2*v**2/13 - 20*v/13 + 16/13.
2*(v - 2)*(v - 1)*(v + 4)/13
Determine t, given that -64*t**2/3 + 496*t/3 - 961/3 = 0.
31/8
Let -6*t**2/11 + 156*t/11 - 150/11 = 0. Calculate t.
1, 25
Let -3*v**4/2 - 3*v**3/2 + 33*v**2/2 + 27*v/2 - 27 = 0. Calculate v.
-3, -2, 1, 3
Determine y so that 5*y**5 + 830*y**4 + 32740*y**3 - 141950*y**2 + 108375*y = 0.
-85, 0, 1, 3
Find n, given that 42*n**4 + 165*n**3/2 - 6*n**2 - 6*n = 0.
-2, -1/4, 0, 2/7
Solve -h**4/6 + 2*h**3/3 + 9*h**2/2 + 19*h/3 + 8/3 = 0 for h.
-2, -1, 8
Solve 5*n**2/4 + 295*n + 17405 = 0 for n.
-118
Factor 2*a**3/3 + 304*a**2/3 + 602*a/3 + 100.
2*(a + 1)**2*(a + 150)/3
Solve -f**3/3 - 500*f**2 - 250000*f - 125000000/3 = 0.
-500
Let -4*k**4 - 50304*k**3 - 237233664*k**2 - 497241759744*k - 390832023158784 = 0. Calculate k.
-3144
Factor o**3 + 8*o**2 + 17*o + 10.
(o + 1)*(o + 2)*(o + 5)
Let 2*b**5/3 + 38*b**4/3 - 83*b**3/6 - 28*b**2/3 + 79*b/6 - 10/3 = 0. Calculate b.
-20, -1, 1/2, 1
Factor 6*h**2/5 - 9048*h/5 + 3411096/5.
6*(h - 754)**2/5
Solve 50*y**5/3 - 590*y**4/3 - 1513*y**3/2 - 1936*y**2/3 - 643*y/6 - 5 = 0.
-2, -1, -1/10, 15
Suppose g**4/2 - 21*g**3/4 + 69*g**2/4 - 14*g - 12 = 0. What is g?
-1/2, 3, 4
Factor 3*q**2 + 147*q.
3*q*(q + 49)
Determine r, given that -3*r**3 + 48*r**2 - 123*r + 78 = 0.
1, 2, 13
Factor -2*o**3 - 14*o**2 - 20*o.
-2*o*(o + 2)*(o + 5)
Find s, given that 4*s**3 - 8*s**2 - 4*s + 8 = 0.
-1, 1, 2
Factor -a**4/5 - 778*a**3/5 - 40248*a**2 - 3434080*a + 7030400.
-(a - 2)*(a + 260)**3/5
Solve -4*k**3 + 464*k**2 + 2928*k = 0.
-6, 0, 122
Suppose -o**4/3 + 149*o**3/3 + 301*o**2/3 + 151*o/3 = 0. What is o?
-1, 0, 151
Find t such that 3*t**4/2 + 78*t**3 + 246*t**2 - 1968*t + 2304 = 0.
-48, -8, 2
Factor 3*b**2/5 + 732*b/5 + 1452/5.
3*(b + 2)*(b + 242)/5
Factor -5*w**2 + 14380*w - 10339220.
-5*(w - 1438)**2
Find j, given that j**2 + 193*j + 1830 = 0.
-183, -10
Factor -q**4/7 + 24*q**3/7 - 198*q**2/7 + 648*q/7 - 729/7.
-(q - 9)**2*(q - 3)**2/7
Factor -s**2/5 + 2264*s/5 - 1281424/5.
-(s - 1132)**2/5
Factor -189*u**3/5 - 3408*u**2/5 - 15417*u/5 - 486/5.
-3*(u + 9)**2*(63*u + 2)/5
Suppose -3*o**2 + 78*o - 507 = 0. Calculate o.
13
Suppose n**2/8 + 15*n - 61/2 = 0. Calculate n.
-122, 2
Factor -5*w**4 - 425*w**3 + 1755*w**2 - 2215*w + 890.
-5*(w - 2)*(w - 1)**2*(w + 89)
Determine s, given that -s**5 + 13*s**4 + 17*s**3 - 37*s**2 - 68*s - 28 = 0.
-1, 2, 14
Factor -2*h**4/7 + 14*h**3 - 282*h**2/7 + 278*h/7 - 92/7.
-2*(h - 46)*(h - 1)**3/7
Determine k so that k**4 + 65*k**3 + 1086*k**2 + 896*k - 2048 = 0.
-32, -2, 1
Determine h, given that 2*h**4 + 46*h**3 - 156*h**2 = 0.
-26, 0, 3
Find u, given that 11325*u**3 - 22660*u**2 + 11345*u - 10 = 0.
2/2265, 1
Solve 8*q**4 - 138*q**3 + 34*q**2 = 0.
0, 1/4, 17
Factor -2*m**3/5 - 36*m**2/5 - 162*m/5.
-2*m*(m + 9)**2/5
Factor 3*p**4 - 21*p**3 + 39*p**2 + 9*p - 54.
3*(p - 3)**2*(p - 2)*(p + 1)
Solve -114*q**4/5 + 297*q**3/5 - 87*q**2/5 - 108*q/5 + 12/5 = 0 for q.
-1/2, 2/19, 1, 2
Factor -3*a**3 - 738*a**2 - 45387*a.
-3*a*(a + 123)**2
Let -16*f**5 - 172*f**4 + 696*f**3 - 476*f**2 - 368*f + 336 = 0. What is f?
-14, -3/4, 1, 2
Determine o so that o**2/7 - 284*o/7 - 572/7 = 0.
-2, 286
Solve -h**3 - 34*h**2 - 33*h = 0.
-33, -1, 0
Suppose -2*b**2 + 228*b - 6498 = 0. Calculate b.
57
Factor -z**5/5 - 2*z**4/5 + 2*z**2/5 + z/5.
-z*(z - 1)*(z + 1)**3/5
Factor 5*m**2 - 80*m.
5*m*(m - 16)
Let 2*p**5/9 - 14*p**3/9 + 4*p**2/3 = 0. Calculate p.
-3, 0, 1, 2
Solve 20*h**2 - 48*h = 0.
0, 12/5
Factor -k**3/7 - 12*k**2/7 - 41*k/7 - 6.
-(k + 2)*(k + 3)*(k + 7)/7
Let 2*g**4 + 2014*g**3 + 2002*g**2 - 10054*g + 6036 = 0. What is g?
-1006, -3, 1
Find u such that u**3/9 + 8*u**2/3 + 59*u/9 - 28/3 = 0.
-21, -4, 1
Find b such that -2*b**4/7 - 2258*b**3/7 = 0.
-1129, 0
Suppose 12*y**5 + 8*y**4 - 228*y**