3/5 - 18*k**2/5 + 32*k - 128/5.
-(k - 2)*(k - 1)*(k + 8)**2/5
Find w, given that -w**4/3 + 3*w**3 + 70*w**2/3 = 0.
-5, 0, 14
Solve -2*h**3 + 592*h**2 - 44968*h + 170528 = 0.
4, 146
Factor 4*y**3/7 - 8*y**2/7 - 4*y/7 + 8/7.
4*(y - 2)*(y - 1)*(y + 1)/7
Suppose -w**2/5 + 214*w/5 - 11449/5 = 0. What is w?
107
Factor 2*k**3 + 16*k**2.
2*k**2*(k + 8)
Factor -3*o**4/2 + 12*o**3 - 45*o**2/2.
-3*o**2*(o - 5)*(o - 3)/2
Factor -u**2/5 + 34*u/5 + 160.
-(u - 50)*(u + 16)/5
Factor -4*a**3 + 48*a**2.
-4*a**2*(a - 12)
Suppose -8*u**3/3 - 1448*u**2/3 + 1454*u/3 - 364/3 = 0. Calculate u.
-182, 1/2
Determine g so that -3*g**2 + 18*g + 21 = 0.
-1, 7
What is x in -3*x**4/4 + 45*x**3 - 681*x**2/4 + 126*x = 0?
0, 1, 3, 56
Find t, given that 39*t**3/5 + 2*t**2/5 = 0.
-2/39, 0
What is b in -b**3 + 6*b**2 - 5*b - 12 = 0?
-1, 3, 4
Factor 2*q**2 - 10*q - 12.
2*(q - 6)*(q + 1)
Factor -k**5 + 2*k**4 + 4*k**3 - 2*k**2 - 3*k.
-k*(k - 3)*(k - 1)*(k + 1)**2
Suppose 2*m**3/11 + 28*m**2/11 + 32*m/11 - 192/11 = 0. Calculate m.
-12, -4, 2
Factor b**4 - 47*b**3 + 618*b**2 - 1540*b + 968.
(b - 22)**2*(b - 2)*(b - 1)
Factor -2*x**3/17 - 32*x**2/17 + 2*x/17 + 32/17.
-2*(x - 1)*(x + 1)*(x + 16)/17
Factor -3*a**2 + 3123*a + 6258.
-3*(a - 1043)*(a + 2)
Suppose 2*g**2/11 - 28*g/11 + 26/11 = 0. What is g?
1, 13
Factor -5*k**2 - 3000*k - 450000.
-5*(k + 300)**2
Let 5*a**4 - 17420*a**3 + 20218800*a**2 - 7804410320*a - 15689835280 = 0. Calculate a.
-2, 1162
Suppose 2*i**4/13 + 106*i**3/13 - 218*i**2/13 + 110*i/13 = 0. What is i?
-55, 0, 1
Solve 2*q**4/5 + 8*q**3/5 - 26*q**2/5 - 8*q/5 + 24/5 = 0 for q.
-6, -1, 1, 2
Find s, given that -2631*s**3 + 21054*s**2 - 42144*s + 96 = 0.
2/877, 4
Solve -t**5 - 22*t**4 + 142*t**3 + 184*t**2 - 141*t - 162 = 0 for t.
-27, -1, 1, 6
Solve 5*i**4 + 55*i**3 + 85*i**2 - 55*i - 90 = 0 for i.
-9, -2, -1, 1
Determine g, given that 2*g**3/5 - 46*g**2/5 - 152*g/5 - 104/5 = 0.
-2, -1, 26
Determine x so that -4*x**5 - 16*x**4 - 8*x**3 + 16*x**2 + 12*x = 0.
-3, -1, 0, 1
Factor 3*r**3/8 + 1917*r**2/8 - 1935*r + 3882.
3*(r - 4)**2*(r + 647)/8
Determine n so that -845*n**4 - 17030*n**3 - 67085*n**2 + 188640*n - 103680 = 0.
-144/13, 1
Determine h so that 5*h**4 - 5490*h**3 + 2014800*h**2 - 249130750*h + 729406875 = 0.
3, 365
Factor 3*y**4 - 54*y**3 + 288*y**2 - 384*y.
3*y*(y - 8)**2*(y - 2)
Factor -o**3 - 3*o**2 + 4.
-(o - 1)*(o + 2)**2
Solve 4*v**2 + 2240*v + 313600 = 0.
-280
Let 2*b**5/13 + 560*b**4/13 + 38066*b**3/13 - 158476*b**2/13 + 200504*b/13 - 80656/13 = 0. What is b?
-142, 1, 2
What is l in 3*l**3 - 462*l**2 + 17316*l + 36504 = 0?
-2, 78
Let -y**2/2 - 15*y + 99/2 = 0. What is y?
-33, 3
Let h**3/7 + 225*h**2/7 + 12312*h/7 - 38988/7 = 0. Calculate h.
-114, 3
Solve -2*f**5/13 - 40*f**4/13 + 6*f**3/13 + 116*f**2/13 - 80*f/13 = 0 for f.
-20, -2, 0, 1
Factor 3*i**4 + 39*i**3 + 30*i**2 - 72*i.
3*i*(i - 1)*(i + 2)*(i + 12)
Suppose -4*y**3/5 + 9724*y**2/5 + 5840*y + 19472/5 = 0. What is y?
-2, -1, 2434
Let n**3/3 - 905*n**2 + 819025*n - 741217625/3 = 0. What is n?
905
Factor f**2/2 - 12*f + 143/2.
(f - 13)*(f - 11)/2
Determine t, given that 4*t**4/3 - 12*t**3 + 20*t**2 + 100*t/3 = 0.
-1, 0, 5
Factor w**4/9 - w**3 + 8*w**2/9.
w**2*(w - 8)*(w - 1)/9
Suppose 2*a**5/11 - 6*a**4/11 - 14*a**3/11 + 54*a**2/11 - 36*a/11 = 0. Calculate a.
-3, 0, 1, 2, 3
Find h such that -2*h**3/13 + 366*h**2/13 + 368*h/13 = 0.
-1, 0, 184
Factor -2*l**3/5 + 1934*l**2/5 - 772*l.
-2*l*(l - 965)*(l - 2)/5
Solve w**3/5 - 53*w**2/5 = 0 for w.
0, 53
Factor 5*o**5 - 10*o**4 - 65*o**3 - 50*o**2.
5*o**2*(o - 5)*(o + 1)*(o + 2)
Factor 2*c**2/7 + 1002*c/7 - 2012/7.
2*(c - 2)*(c + 503)/7
Suppose -5*w**5 - 10*w**4 + 20*w**3 + 40*w**2 = 0. What is w?
-2, 0, 2
Suppose s**4/5 + 2*s**3/5 - 4*s**2/5 - 2*s/5 + 3/5 = 0. Calculate s.
-3, -1, 1
Suppose 6*i**3/23 - 76*i**2/23 - 206*i/23 - 60/23 = 0. Calculate i.
-2, -1/3, 15
Let -z**4/5 + 13*z**3/5 - 33*z**2/5 + 31*z/5 - 2 = 0. What is z?
1, 10
Factor -r**2/6 - 32*r/3 - 21/2.
-(r + 1)*(r + 63)/6
Factor 3*y**2 - 2004*y - 4020.
3*(y - 670)*(y + 2)
Let -k**2 + 762*k - 145161 = 0. What is k?
381
Determine x so that x**4/6 - 5*x**3/6 + 7*x**2/6 - x/2 = 0.
0, 1, 3
Factor -5*t**3 + 535*t**2 + 3425*t - 3955.
-5*(t - 113)*(t - 1)*(t + 7)
Factor p**4/8 - 6*p**3 + 83*p**2 - 264*p + 242.
(p - 22)**2*(p - 2)**2/8
Factor -j**4 - 26*j**3 - 204*j**2 - 406*j + 637.
-(j - 1)*(j + 7)**2*(j + 13)
Factor -2*z**4 + 4*z**3 + 6*z**2 - 8*z - 8.
-2*(z - 2)**2*(z + 1)**2
Factor c**3 - 98*c**2/3 - 101*c/3.
c*(c + 1)*(3*c - 101)/3
What is v in 4*v**3 - 80*v**2 + 432*v - 576 = 0?
2, 6, 12
Factor 10*o**4/3 + 76*o**3/3 + 14*o**2.
2*o**2*(o + 7)*(5*o + 3)/3
Let -75*i**2/4 + 1877*i/4 - 25/2 = 0. Calculate i.
2/75, 25
Factor -5*u**2 - 1380*u - 95220.
-5*(u + 138)**2
Factor -3*h**3 - 936*h**2 - 74844*h - 284592.
-3*(h + 4)*(h + 154)**2
Let 4*r**3 + 16*r**2 + 16*r = 0. What is r?
-2, 0
Suppose 2*i**4/9 - 6*i**3 = 0. Calculate i.
0, 27
Factor -3*n**4 + 9*n**3 + 9*n**2 - 33*n + 18.
-3*(n - 3)*(n - 1)**2*(n + 2)
Factor -2*a**3/21 - 2*a**2/7 - 4*a/21.
-2*a*(a + 1)*(a + 2)/21
Factor 2*v**4/3 - 12*v**3 - 26*v**2 - 40*v/3.
2*v*(v - 20)*(v + 1)**2/3
Factor -300*t**2 + 296*t + 4.
-4*(t - 1)*(75*t + 1)
Determine t, given that -t**2/3 - 2*t/3 + 143/3 = 0.
-13, 11
Determine l so that 171*l**3/8 + 3*l**2 - 171*l/8 - 3 = 0.
-1, -8/57, 1
Find n such that 10*n**3 - 65*n**2/2 - 185*n/2 + 25 = 0.
-2, 1/4, 5
Suppose 3*f**3/2 - 4*f**2 + 7*f/2 - 1 = 0. What is f?
2/3, 1
Solve 5*g**3 - 155*g**2 - 1145*g + 1295 = 0.
-7, 1, 37
Solve 2*t**4 + 136*t**3 + 2442*t**2 + 4356*t = 0.
-33, -2, 0
Find h such that -3*h**2 + 543*h = 0.
0, 181
Let -116*q**2 - 5792*q + 400 = 0. What is q?
-50, 2/29
Suppose -f**2/6 + 325*f/3 - 649/6 = 0. What is f?
1, 649
Let -4*i**3/5 + 24*i**2/5 - 4*i - 48/5 = 0. Calculate i.
-1, 3, 4
Factor -2*h**2 - 24*h - 54.
-2*(h + 3)*(h + 9)
Factor 2*a**2/7 + 8*a/7 + 6/7.
2*(a + 1)*(a + 3)/7
What is l in 2*l**4/9 + 16*l**3/9 - 50*l**2/9 - 88*l/9 + 40/3 = 0?
-10, -2, 1, 3
Factor c**4 - 192*c**3 - 195*c**2 + 386*c.
c*(c - 193)*(c - 1)*(c + 2)
Let -a**2/2 + 18*a - 162 = 0. What is a?
18
Suppose -n**4 - 7*n**3 - 15*n**2 - 13*n - 4 = 0. What is n?
-4, -1
What is b in -80*b**5 + 32*b**4 + 28*b**3 - 12*b**2 = 0?
-3/5, 0, 1/2
Suppose 2*z**5/11 - 12*z**4/11 + 26*z**3/11 - 24*z**2/11 + 8*z/11 = 0. Calculate z.
0, 1, 2
Factor 5*r**4 - 85*r**3 + 390*r**2 - 320*r - 800.
5*(r - 10)*(r - 4)**2*(r + 1)
Factor c**4/9 - 6*c**3 + 108*c**2 - 648*c.
c*(c - 18)**3/9
Find g, given that -2*g**2/15 - 136*g/5 - 6936/5 = 0.
-102
Suppose k**4/4 - 7*k**3/4 - 17*k**2/4 - 9*k/4 = 0. Calculate k.
-1, 0, 9
Let t**2/7 + 13*t/7 - 2 = 0. Calculate t.
-14, 1
Find i, given that i**3 - 54*i**2 + 825*i - 3872 = 0.
11, 32
Factor -9*p**3 - 8850*p**2 + 14769*p - 5910.
-3*(p - 1)*(p + 985)*(3*p - 2)
Let q**4 - 41*q**3 - 42*q**2 = 0. What is q?
-1, 0, 42
Factor f**4 + 15*f**3 + 6*f**2 - 124*f - 168.
(f - 3)*(f + 2)**2*(f + 14)
Let 4*z**5 + 44*z**4 + 76*z**3 + 36*z**2 = 0. What is z?
-9, -1, 0
Factor -2*n**5/7 + 26*n**4/7 + 10*n**3/7 - 142*n**2 + 112*n + 1568.
-2*(n - 7)**3*(n + 4)**2/7
Factor 3*l**5/7 + 3197*l**4/7 + 1136355*l**3/7 + 19281825*l**2 + 89477750*l/7.
l*(l + 355)**3*(3*l + 2)/7
Let 2080*p**3 - 3200*p**2 + 1290*p - 45 = 0. What is p?
1/26, 3/4
Find v, given that 3*v**3 - 99*v**2/5 + 48*v/5 + 36/5 = 0.
-2/5, 1, 6
What is f in -18*f**3/5 + 1722*f**2 + 5746*f/5 + 958/5 = 0?
-1/3, 479
What is n in -n**5/2 - 5*n**4/6 + 11*n**3/6 + 7*n**2/2 + 2*n/3 - 2/3 = 0?
-2, -1, 1/3, 2
Factor 2*k**2/3 + 494*k + 5896/3.
2*(k + 4)*(k + 737)/3
Solve 5*k**4/3 + 590*k**3 + 154865*k**2/3 - 105020*k + 158420/3 = 0 for k.
-178, 1
Solve -2*a**4/19 - 48*a**3/19 - 294*a**2/19 - 632*a/19 - 384/19 = 0 for a.
-16, -4, -3, -1
Find f such that 9*f**5 - 42*f**4 + 31*f**3 + 54*f**2 - 28*f - 24 = 0.
-2/3, 1, 2, 3
Find o, given that 5*o**4 - 340*o**3 + 985*o**2 - 650*o = 0.
0, 1, 2, 65
Factor 32*z**2 - 6*z.
2*z*(16*z - 3)
Factor q**2 - 69*q + 260.
(q - 65)*(q - 4)
Factor o**2/4 - 5*o/4 - 3/2.
(o - 6)*(o + 1)/4
Factor -18*i**4 - 326*i**3 - 1980*i**2 - 4104*i - 432.
-2*(i + 6)**3*(9*i + 1)
Let -2*g**3/7 + 66*g**2/7 + 20*g = 0. What is g?
-2, 0, 35
Factor 3*o**2/4 + 99*o/4 + 87.
3*(o + 4)*(o + 29)/4
Factor n**3 - n**2 - 12*n.
n*(n - 4)*(n + 3)
Factor 3*u**4/2 + 6*u**3 - 21*u**2/2 - 15*u.
3*