*2 + 15*o = 0.
-1, -1/2, 0, 3/5
Factor -3*h**3 - 21*h**2 - 48*h - 36.
-3*(h + 2)**2*(h + 3)
Find h, given that 147*h**4 - 1260*h**3 - 2256*h**2 + 1584*h - 240 = 0.
-2, 2/7, 10
Solve -z**4/2 + 9*z**3/2 - 13*z**2/2 - 9*z/2 + 7 = 0.
-1, 1, 2, 7
Factor -i**3/5 + 150*i**2 - 37500*i + 3125000.
-(i - 250)**3/5
Suppose 5*o**2/3 - 512*o/3 + 68 = 0. Calculate o.
2/5, 102
Solve -6*u**4/5 - 79*u**3/5 + 261*u**2/5 - 174*u/5 + 32/5 = 0.
-16, 1/3, 1/2, 2
Factor -b**2 - 117*b.
-b*(b + 117)
Find c, given that -c**4 + 17*c**3 - 91*c**2 + 147*c = 0.
0, 3, 7
Suppose 3*h**5 + 12*h**4 - 36*h**3 - 66*h**2 + 177*h - 90 = 0. What is h?
-5, -3, 1, 2
Suppose -7*r**4/4 + 25*r**3/4 - 3*r**2 - 7*r + 4 = 0. What is r?
-1, 4/7, 2
Suppose -40*j**5 + 74*j**4 + 621*j**3 + 74*j**2 - 139*j - 30 = 0. What is j?
-3, -2/5, -1/4, 1/2, 5
Let 2*f**5/5 + 2*f**4/5 - 12*f**3/5 - 8*f**2/5 + 16*f/5 = 0. Calculate f.
-2, 0, 1, 2
Let -4*t**3 - 408*t**2 - 13872*t - 157216 = 0. Calculate t.
-34
Factor 27*g**2 - 138*g/5 + 3/5.
3*(g - 1)*(45*g - 1)/5
Suppose -9*o**5/4 - 69*o**4/4 - 51*o**3/2 + 57*o**2/2 + 111*o/4 - 45/4 = 0. Calculate o.
-5, -3, -1, 1/3, 1
Factor -4*i**2 - 4484*i - 4480.
-4*(i + 1)*(i + 1120)
Factor -4*g**2 - 696*g + 12988.
-4*(g - 17)*(g + 191)
Factor 5*z**4 + 1370*z**3 + 96545*z**2 + 369900*z + 364500.
5*(z + 2)**2*(z + 135)**2
Factor 62*y**2/7 - 12*y/7.
2*y*(31*y - 6)/7
Determine r, given that 2*r**2 + 22*r - 120 = 0.
-15, 4
Factor 5*k**5 - 20*k**4 - 10*k**3 + 60*k**2 + 45*k.
5*k*(k - 3)**2*(k + 1)**2
Factor -5*j**2/8 - 32107*j/8 - 6421/4.
-(j + 6421)*(5*j + 2)/8
Factor -x**3 + 29*x**2/3 + 43*x/3 + 11/3.
-(x - 11)*(x + 1)*(3*x + 1)/3
Factor 3*i**2 - 252*i + 5292.
3*(i - 42)**2
Determine o so that -o**2/4 + 61*o/2 - 3721/4 = 0.
61
Factor m**3/6 + m**2 + 11*m/6 + 1.
(m + 1)*(m + 2)*(m + 3)/6
Factor 3*a**3/5 + 285*a**2 - 2859*a/5 + 1431/5.
3*(a - 1)**2*(a + 477)/5
Solve -2*j**5/13 - 6*j**4/13 + 76*j**3/13 + 384*j**2/13 + 448*j/13 = 0.
-4, -2, 0, 7
Solve -r**3/2 - 15*r**2/2 - 27*r = 0 for r.
-9, -6, 0
Suppose -4*a**3 - 364*a**2 - 3340*a - 8100 = 0. What is a?
-81, -5
Factor l**3/4 - 33*l**2/4 + 363*l/4 - 1331/4.
(l - 11)**3/4
Factor 3*k**2 - 264*k + 1008.
3*(k - 84)*(k - 4)
Solve -5*k**3 + 1155*k**2 - 67275*k + 66125 = 0 for k.
1, 115
Factor -b**4/2 - 2*b**3 - 3*b**2 - 2*b - 1/2.
-(b + 1)**4/2
What is p in 2*p**2/11 - 140*p/11 - 3822/11 = 0?
-21, 91
Find w such that 11499*w**3/7 + 22992*w**2/7 + 1641*w - 6/7 = 0.
-1, 2/3833
Suppose -6846*o**2/5 - 6842*o/5 + 4/5 = 0. What is o?
-1, 2/3423
Factor m**5 - 31*m**4/3 + 118*m**3/3 - 66*m**2 + 45*m - 9.
(m - 3)**3*(m - 1)*(3*m - 1)/3
Factor 4*i**4 + 36*i**3 + 72*i**2.
4*i**2*(i + 3)*(i + 6)
Factor -z**2/3 - 31*z/3 - 10.
-(z + 1)*(z + 30)/3
Let 5*q**3 - 15965*q**2 + 12752040*q - 12736080 = 0. Calculate q.
1, 1596
Suppose 2*m**2/3 + 202*m/3 - 68 = 0. Calculate m.
-102, 1
Find s, given that -32*s**4/7 + 48*s**3 - 722*s**2/7 - 426*s/7 - 8 = 0.
-1/4, 4, 7
Factor 2*a**4/11 - 2*a**3 + 38*a**2/11 - 18*a/11.
2*a*(a - 9)*(a - 1)**2/11
Factor t**2/8 + 3*t/8 - 9/4.
(t - 3)*(t + 6)/8
Let -20*k**5 + 308*k**4 + 200*k**3 - 128*k**2 = 0. Calculate k.
-1, 0, 2/5, 16
Factor 12*u**2 + 676*u/3 + 640/3.
4*(u + 1)*(9*u + 160)/3
Factor 4*x**5 + 48*x**4 + 184*x**3 + 240*x**2 + 100*x.
4*x*(x + 1)**2*(x + 5)**2
Find z, given that -z**3/3 - 3*z**2 + 76*z/3 + 28 = 0.
-14, -1, 6
Suppose 3*s**3 - 39*s**2 + 21*s + 495 = 0. What is s?
-3, 5, 11
Factor -2*k**2/7 + 256*k/7 - 8192/7.
-2*(k - 64)**2/7
Solve -3*o**4/7 - 33*o**3/7 = 0.
-11, 0
Factor -3*i**2 - 708*i.
-3*i*(i + 236)
Factor -i**5 - 18*i**4 + 3*i**3 + 56*i**2 + 36*i.
-i*(i - 2)*(i + 1)**2*(i + 18)
Factor -l**4 + 8*l**3 - 21*l**2 + 22*l - 8.
-(l - 4)*(l - 2)*(l - 1)**2
Factor -4*d**2/5 + 12*d/5 + 16/5.
-4*(d - 4)*(d + 1)/5
Factor b**3/3 - 8*b**2/3 + 17*b/3 - 10/3.
(b - 5)*(b - 2)*(b - 1)/3
Factor s**4/5 + 11*s**3 - 58*s**2/5 - 112*s/5.
s*(s - 2)*(s + 1)*(s + 56)/5
Factor -4*x**4/9 + 16*x**3/9 + 4*x**2/9 - 16*x/9.
-4*x*(x - 4)*(x - 1)*(x + 1)/9
Factor -4*v**4 - 104*v**3 + 12*v**2 + 304*v - 208.
-4*(v - 1)**2*(v + 2)*(v + 26)
Factor 2*o**4/11 - 30*o**3/11 + 52*o**2/11.
2*o**2*(o - 13)*(o - 2)/11
Let x**2/2 + 23*x/8 - 3/4 = 0. What is x?
-6, 1/4
Factor 4*k**4 - 4*k**3 - 4*k**2 + 4*k.
4*k*(k - 1)**2*(k + 1)
What is b in -b**2 + 3012*b = 0?
0, 3012
Factor -g**4 - 21*g**3 - 20*g**2.
-g**2*(g + 1)*(g + 20)
Suppose -2*m**4 + 792*m**3 + 2388*m**2 + 2392*m + 798 = 0. Calculate m.
-1, 399
Factor -2*q**4 - 14*q**3 + 28*q**2 + 96*q.
-2*q*(q - 3)*(q + 2)*(q + 8)
Factor -27*i**3/5 - 24*i**2 - 48*i/5.
-3*i*(i + 4)*(9*i + 4)/5
Let 3*l**4 - 3*l**3 - 30*l**2 + 12*l + 72 = 0. What is l?
-2, 2, 3
Factor w**2/3 + 128*w/3 + 2071/3.
(w + 19)*(w + 109)/3
Factor -2*w**3/9 - 10*w**2/9 + 128*w/9 + 280/9.
-2*(w - 7)*(w + 2)*(w + 10)/9
Factor -2*a**3/11 + 12*a**2/11 + 38*a/11 - 48/11.
-2*(a - 8)*(a - 1)*(a + 3)/11
Let v**4 - 10*v**3 = 0. Calculate v.
0, 10
Factor -2*s**3/7 - 52*s**2/7 + 134*s + 988/7.
-2*(s - 13)*(s + 1)*(s + 38)/7
Factor -8*s**5 + 7*s**4 + s**3.
-s**3*(s - 1)*(8*s + 1)
Solve 4*n**2/7 - 80*n + 18304/7 = 0.
52, 88
Factor v**4/2 - 21*v**2/2 - 10*v.
v*(v - 5)*(v + 1)*(v + 4)/2
Solve s**5/6 + 20*s**4/3 + 571*s**3/6 + 546*s**2 + 792*s - 1440 = 0 for s.
-12, -5, 1
What is d in -d**2/4 + 39*d/2 + 40 = 0?
-2, 80
Solve 14*p**5/11 - 2*p**4 + 2*p**3/11 + 6*p**2/11 = 0.
-3/7, 0, 1
Solve -3*u**5/4 + 3*u**4/2 + 6*u**3 - 27*u**2/2 + 27*u/4 = 0.
-3, 0, 1, 3
Factor -w**3/6 + 2039*w**2/6 - 173060*w - 173400.
-(w - 1020)**2*(w + 1)/6
Factor -27*k**5 + 513*k**4 + 3042*k**3 + 4636*k**2 + 2760*k + 576.
-(k - 24)*(k + 3)*(3*k + 2)**3
Factor 2*w**3 - 1438*w**2 - 2882*w - 1442.
2*(w - 721)*(w + 1)**2
Solve o**3/9 - 4*o**2/3 = 0 for o.
0, 12
Factor 49*k**4/3 - 91*k**3 - 50*k**2 + 148*k/3 - 8.
(k - 6)*(k + 1)*(7*k - 2)**2/3
Find o, given that -4*o**3 - 872*o**2 - 42864*o + 519840 = 0.
-114, 10
Find d, given that -d**3/6 - 403*d**2/6 = 0.
-403, 0
Factor u**3 - 53*u**2 + 662*u - 1120.
(u - 35)*(u - 16)*(u - 2)
Factor -u**3/3 - 4*u**2/3 + u/3 + 4/3.
-(u - 1)*(u + 1)*(u + 4)/3
Factor 4*z**2 - 784*z.
4*z*(z - 196)
Factor -s**4/4 - 7*s**3/4 - 13*s**2/4 + 3*s/4 + 9/2.
-(s - 1)*(s + 2)*(s + 3)**2/4
Factor -2*a**2 - 144*a - 2592.
-2*(a + 36)**2
Let -v**2 - 7*v - 12 = 0. What is v?
-4, -3
Factor 2*p**4/7 + 18*p**3/7 - 66*p**2/7 + 10*p - 24/7.
2*(p - 1)**3*(p + 12)/7
Find i, given that 4*i**2 - 172*i - 552 = 0.
-3, 46
Factor a**2/9 + 119*a/3 - 718/9.
(a - 2)*(a + 359)/9
Find t such that t**2/2 + 15*t - 31/2 = 0.
-31, 1
Let 44*f**2 - 64*f - 48 = 0. What is f?
-6/11, 2
Factor 3*q**3 - 6564*q**2.
3*q**2*(q - 2188)
Find u, given that -u**3/4 - 9*u**2/2 - 59*u/4 - 21/2 = 0.
-14, -3, -1
Suppose 4*i**3 + 244*i**2 + 240*i = 0. What is i?
-60, -1, 0
Find d, given that -2*d**2/7 - 22*d/7 - 48/7 = 0.
-8, -3
Factor -4*k**3 + 668*k**2 - 26144*k - 147920.
-4*(k - 86)**2*(k + 5)
Factor c**4/3 + 80*c**3/3 + 1600*c**2/3.
c**2*(c + 40)**2/3
Determine p, given that p**3/3 + 768*p**2 + 589824*p + 150994944 = 0.
-768
Suppose -2*v**2/5 + 26*v/5 + 12 = 0. Calculate v.
-2, 15
Solve k**2 - 23*k + 22 = 0.
1, 22
Factor -g**2 + 9*g + 10.
-(g - 10)*(g + 1)
Solve -z**5 + 4*z**4 + 1727*z**3 + 27638*z**2 + 50116*z + 24200 = 0 for z.
-22, -1, 50
Suppose 2*d**3/5 + 206*d**2/5 - 2*d/5 - 206/5 = 0. Calculate d.
-103, -1, 1
Find n, given that n**2/5 - 16*n/5 = 0.
0, 16
Let -120*l**2 + 363*l - 9 = 0. What is l?
1/40, 3
Let -5*x**3 + 5*x**2 + 5*x - 5 = 0. Calculate x.
-1, 1
Solve -49*n**5 + 182*n**4 - 253*n**3 + 156*n**2 - 36*n = 0 for n.
0, 6/7, 1
Factor 3*a**3/5 - 9*a**2 - 48*a/5.
3*a*(a - 16)*(a + 1)/5
Suppose -2*k**2 - 2*k + 24 = 0. Calculate k.
-4, 3
Factor -n**3/5 - 59*n**2 - 878*n/5 - 584/5.
-(n + 1)*(n + 2)*(n + 292)/5
Solve 3*j**3/7 - 45*j**2/7 + 96*j/7 + 144/7 = 0 for j.
-1, 4, 12
Suppose 2*l**4 - 56*l**3 + 78*l**2 + 656*l + 520 = 0. What is l?
-2, -1, 5, 26
Find b such that -6*b**4/7 - 16*b**3/7 + 30*b**2/7 - 8*b/7 = 0.
-4, 0, 1/3, 1
Factor -i**2 - 90*i.
-i*(i + 90)
Let 2*l**2/7 + 124*l/7 + 122/7 = 0. What is l?
-61, -1
Factor 2*l**4/11 - 2*l**3 + 20*l**2/11.
2*l**2*(l - 10)*(l - 1)/11
Determine q, given that 2*q**3/13 - 14*q**2/13 + 16*q/13 + 32/13 = 0.
-1, 4
Determine s, given that -5*s**2 - 145*s = 0.
-29, 0
Determine i so that 4*i**4 - 156*i**3 - 492*i**2 - 500*i - 168 = 0.
-1, 42
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