*q**3 + 690*q**2 + 3160*q - 832 = 0.
-13, -4, 1/4, 8
Solve z**5/2 + 73*z**4/2 - 1149*z**3/2 + 5863*z**2/2 - 6040*z + 4350 = 0.
-87, 2, 5
Factor t**3/9 - 205*t**2/9 + 608*t/9 - 404/9.
(t - 202)*(t - 2)*(t - 1)/9
Factor 6*i**3 + 142*i**2 + 432*i - 160.
2*(i + 4)*(i + 20)*(3*i - 1)
Solve -5*m**4/3 + 205*m**3/3 - 935*m**2/3 + 425*m - 180 = 0 for m.
1, 3, 36
Factor 9*o**3/8 + 429*o**2/4 - 575*o/8 + 12.
(o + 96)*(3*o - 1)**2/8
Determine o so that -2*o**2 - 10*o + 28 = 0.
-7, 2
Let -80*d**5 + 40*d**4 + 2475*d**3 + 1160*d**2 - 1045*d + 150 = 0. Calculate d.
-5, -1, 1/4, 6
Factor 3*t**3 + 248*t**2/3 + 2189*t/3 + 6050/3.
(t + 11)**2*(9*t + 50)/3
Solve 15*s**5 - 399*s**4 - 1467*s**3 - 1857*s**2 - 984*s - 180 = 0.
-1, -2/5, 30
Factor -4*b**5 - 16*b**4 - 20*b**3 - 8*b**2.
-4*b**2*(b + 1)**2*(b + 2)
Factor -2*j**3/7 - 20*j**2/7 - 18*j/7.
-2*j*(j + 1)*(j + 9)/7
Suppose 49*x**2 - 17766*x + 1610361 = 0. Calculate x.
1269/7
Factor -14*z**4/15 + 4*z**3 - 16*z**2/15.
-2*z**2*(z - 4)*(7*z - 2)/15
What is c in -16*c**4 + 416*c**3 + 1452*c**2 - 1540*c - 5800 = 0?
-5/2, 2, 29
Suppose -3*y**4/8 + 3*y**3/2 - 3*y**2/4 - 3*y/2 + 9/8 = 0. Calculate y.
-1, 1, 3
Suppose -60*y**4 - 4274*y**3 - 990*y**2 + 284*y = 0. What is y?
-71, -2/5, 0, 1/6
What is k in k**3/2 - 3*k**2 - 85*k/2 - 39 = 0?
-6, -1, 13
Determine d so that -51*d**2/5 - 87*d/5 - 36/5 = 0.
-1, -12/17
Factor 10*u**3 + 515*u**2.
5*u**2*(2*u + 103)
What is a in -8*a**4 + 66*a**3 - 136*a**2 + 30*a = 0?
0, 1/4, 3, 5
Find z such that 2*z**4 - 62*z**3 + 316*z**2 - 400*z = 0.
0, 2, 4, 25
Determine v, given that -v**4/11 + 206*v**3/11 + 208*v**2/11 - 206*v/11 - 207/11 = 0.
-1, 1, 207
Suppose 4*s**5 - 32*s**4 + 28*s**3 = 0. Calculate s.
0, 1, 7
What is l in -2*l**4/9 + 20*l**3/9 - 32*l**2/9 = 0?
0, 2, 8
Determine s so that -5*s**4/4 + 5*s**3/2 - 5*s/2 + 5/4 = 0.
-1, 1
Factor -2*o**2/9 - 140*o/9 - 256/3.
-2*(o + 6)*(o + 64)/9
Suppose 9*c**4/4 + 129*c**3/4 - 117*c**2/2 + 24*c = 0. What is c?
-16, 0, 2/3, 1
Factor 5*z**5 - 440*z**4 + 3280*z**3 - 6400*z**2.
5*z**2*(z - 80)*(z - 4)**2
Solve 2*a**2 + 56*a + 54 = 0 for a.
-27, -1
Factor 5*w**5 + 740*w**4 + 26630*w**3 - 55500*w**2 + 28125*w.
5*w*(w - 1)**2*(w + 75)**2
Determine a, given that 2*a**4/3 - 52*a**3/3 + 144*a**2 - 324*a - 486 = 0.
-1, 9
Factor -2*d**2/3 - 8*d/3 - 2.
-2*(d + 1)*(d + 3)/3
Factor -5*q**3 + 50*q**2 - 155*q + 150.
-5*(q - 5)*(q - 3)*(q - 2)
Solve -2*i**3/11 + 2*i**2 + 464*i/11 + 40 = 0 for i.
-10, -1, 22
Factor -4*r**3 + 180*r**2 - 672*r + 656.
-4*(r - 41)*(r - 2)**2
What is t in 2*t**5 + 42*t**4 + 264*t**3 + 616*t**2 + 480*t = 0?
-12, -5, -2, 0
Factor 3*l**2/2 + 399*l/2 + 393.
3*(l + 2)*(l + 131)/2
Factor -3*f**3 - 30*f**2 - 75*f.
-3*f*(f + 5)**2
Factor r**5/3 + 5*r**4/3 + 3*r**3 + 7*r**2/3 + 2*r/3.
r*(r + 1)**3*(r + 2)/3
Let -3*t**2 - 1776*t - 262848 = 0. Calculate t.
-296
Let -2*h**2 + 1748*h = 0. Calculate h.
0, 874
Let 25*b**5 + 235*b**4 + 805*b**3 + 1285*b**2 + 970*b + 280 = 0. What is b?
-4, -2, -7/5, -1
What is x in 2*x**2 - 434*x = 0?
0, 217
Suppose o**3 - 455*o**2 + 51983*o - 51529 = 0. Calculate o.
1, 227
Let 2*u**2/9 - 346*u/9 + 344/9 = 0. What is u?
1, 172
Let 338*u**4/3 + 234*u**3 - 188*u**2/3 - 136*u + 48 = 0. Calculate u.
-2, -1, 6/13
Factor -k**4 + 169*k**3 - 6882*k**2 - 21844*k - 14792.
-(k - 86)**2*(k + 1)*(k + 2)
Factor -r**2/6 + 541*r/6 - 539/3.
-(r - 539)*(r - 2)/6
What is x in -2*x**3/7 + 10*x**2 - 750*x/7 + 2250/7 = 0?
5, 15
Solve -2*d**2/7 - 29180*d/7 - 106434050/7 = 0 for d.
-7295
Determine a so that -4*a**3 - 76*a**2 + 160*a + 1600 = 0.
-20, -4, 5
Factor r**4 + 2*r**3 - 19*r**2 + 28*r - 12.
(r - 2)*(r - 1)**2*(r + 6)
Factor 2*a**3/7 - 244*a**2/7 + 482*a/7 - 240/7.
2*(a - 120)*(a - 1)**2/7
Factor -5*u**2 + 50*u + 480.
-5*(u - 16)*(u + 6)
Solve 5*x**2 + 45*x + 70 = 0.
-7, -2
Factor 3*k**5 + 24*k**4 + 39*k**3 + 18*k**2.
3*k**2*(k + 1)**2*(k + 6)
Factor 4*i**3 - 852*i**2 + 60492*i - 1431644.
4*(i - 71)**3
Factor -3*r**2/5 - 24*r.
-3*r*(r + 40)/5
Find b such that 2*b**2 + 178*b - 3852 = 0.
-107, 18
Determine h so that -3*h**5/2 + 27*h**4/2 + 15*h**3/2 - 135*h**2/2 - 6*h + 54 = 0.
-2, -1, 1, 2, 9
Determine b so that -b**5/3 - 4*b**4/3 + 16*b**3/3 + 64*b**2/3 = 0.
-4, 0, 4
Determine u so that 50*u**4/9 - 790*u**3/9 - 64*u**2/3 + 520*u/9 - 128/9 = 0.
-1, 2/5, 16
Suppose -i**2/10 - 976*i/5 - 476288/5 = 0. What is i?
-976
Solve -9*p**3 + 159*p**2 - 480*p + 252 = 0.
2/3, 3, 14
Factor -p**3/3 + 12*p**2 - 44*p + 128/3.
-(p - 32)*(p - 2)**2/3
Factor -h**5/5 - 78*h**4/5 - 1357*h**3/5 + 6396*h**2/5 - 6724*h/5.
-h*(h - 2)**2*(h + 41)**2/5
Find l such that 320*l**4 + 80*l**3 - 4115*l**2 - 4925*l - 1500 = 0.
-3, -5/8, 4
Find n, given that 2*n**2/3 - 428*n/3 - 288 = 0.
-2, 216
Suppose -3*h**2/2 - 45*h/2 - 21 = 0. Calculate h.
-14, -1
What is l in l**5/3 + l**4/3 - 3*l**3 - l**2/3 + 20*l/3 - 4 = 0?
-3, -2, 1, 2
Factor 9*m**2 - 174*m + 57.
3*(m - 19)*(3*m - 1)
Factor -2*t**3/23 + 40*t**2 - 103936*t/23 - 430592/23.
-2*(t - 232)**2*(t + 4)/23
Find i such that 196*i**5 - 868*i**4 - 7208*i**3 + 11792*i**2 + 8416*i + 1280 = 0.
-5, -2/7, 2, 8
Find d such that 2*d**4/3 - 28*d**3 - 14*d**2/3 + 192*d + 168 = 0.
-2, -1, 3, 42
Suppose 3*q**5/5 + 21*q**4/5 + 33*q**3/5 + 3*q**2 = 0. What is q?
-5, -1, 0
Determine i so that 75*i**5 - 2605*i**4 - 745*i**3 + 1585*i**2 - 350*i = 0.
-1, 0, 1/3, 2/5, 35
Let -14*m**5/11 - 864*m**4/11 + 262*m**3/11 + 864*m**2/11 - 248*m/11 = 0. Calculate m.
-62, -1, 0, 2/7, 1
What is o in 2*o**5/5 - 8*o**4 + 216*o**3/5 - 28*o**2 - 218*o/5 + 36 = 0?
-1, 1, 9, 10
Let x**3/5 + 27*x**2/5 + 231*x/5 + 121 = 0. Calculate x.
-11, -5
Factor -2*j**2/5 - 8*j/5 + 24/5.
-2*(j - 2)*(j + 6)/5
Factor -l**5 + 28*l**4 + 355*l**3 + 950*l**2.
-l**2*(l - 38)*(l + 5)**2
Factor 2*q**2 - 70*q + 300.
2*(q - 30)*(q - 5)
Find v such that v**5 + 12*v**4 + 5*v**3 - 182*v**2 - 336*v - 160 = 0.
-10, -4, -1, 4
Let 5*m**5 + 850*m**4 + 53750*m**3 + 1479200*m**2 + 13913725*m - 34188010 = 0. What is m?
-43, 2
Find r such that r**2/4 + 7799*r/2 + 60824401/4 = 0.
-7799
Let 4*g**3 - 516*g**2 + 1020*g - 508 = 0. Calculate g.
1, 127
Factor 4*v**2 + 316*v + 616.
4*(v + 2)*(v + 77)
Factor -j**4/2 - 257*j**3/2 - 765*j**2/2 - 763*j/2 - 127.
-(j + 1)**3*(j + 254)/2
Suppose -2*r**4/9 + 68*r**3/9 - 160*r**2/3 + 764*r/9 - 350/9 = 0. What is r?
1, 7, 25
What is q in 9*q**5 - 12*q**4 - 24*q**3 + 18*q**2 + 15*q - 6 = 0?
-1, 1/3, 1, 2
Factor 2*k**4 - 32*k**3 - 420*k**2 - 736*k - 350.
2*(k - 25)*(k + 1)**2*(k + 7)
Factor -15*v**2 - 312*v + 63.
-3*(v + 21)*(5*v - 1)
Solve 7*u**4 + 306*u**3 + 787*u**2 + 324*u - 164 = 0.
-41, -2, -1, 2/7
Determine r so that 8*r**4/9 - 100*r**3/9 + 48*r**2 - 704*r/9 + 256/9 = 0.
1/2, 4
Factor 3*h**4 - 90*h**3 - 504*h**2 - 726*h - 315.
3*(h - 35)*(h + 1)**2*(h + 3)
Factor j**2/6 + 61*j/2 + 181/3.
(j + 2)*(j + 181)/6
Let c**4 + 130*c**3 + 5973*c**2 + 113620*c + 763876 = 0. Calculate c.
-46, -19
Find i, given that 5*i**5 + 5*i**4 - 70*i**3 - 120*i**2 = 0.
-3, -2, 0, 4
Determine s so that -5*s**4 - 69*s**3 - 260*s**2 - 372*s - 176 = 0.
-44/5, -2, -1
Factor -l**5/7 + 12*l**4/7 - 3*l**3 + 10*l**2/7.
-l**2*(l - 10)*(l - 1)**2/7
Factor -5*x**2 + 117*x - 46.
-(x - 23)*(5*x - 2)
Factor 3*r**3 - 69*r**2 + 66*r.
3*r*(r - 22)*(r - 1)
Factor j**3/3 - 254*j**2/3 + 5460*j - 10584.
(j - 126)**2*(j - 2)/3
Find h such that -4*h**4 + 2936*h**3 + 2940*h**2 = 0.
-1, 0, 735
Determine a, given that -3*a**2 + 18*a - 24 = 0.
2, 4
Factor 4*w**4 + 24*w**3 + 44*w**2 + 24*w.
4*w*(w + 1)*(w + 2)*(w + 3)
Factor -3*w**2/5 - 21*w/5 - 6.
-3*(w + 2)*(w + 5)/5
Find s, given that -2*s**4/9 - 14*s**3/9 - 28*s**2/9 - 16*s/9 = 0.
-4, -2, -1, 0
Factor -2*c**2/13 + 116*c/13 - 1682/13.
-2*(c - 29)**2/13
What is f in f**5/6 - 5*f**4/3 + 16*f**3/3 - 13*f**2/3 - 11*f/2 + 6 = 0?
-1, 1, 3, 4
Determine p so that 3*p**5/5 - 123*p**4/5 = 0.
0, 41
Factor 5*k**3 + 80*k**2 - 180*k.
5*k*(k - 2)*(k + 18)
Find w, given that -2*w**2 - 32*w + 114 = 0.
-19, 3
Factor j**2 + 2810*j + 1974025.
(j + 1405)**2
Factor 2*c**2/7 - 690*c/7 - 1388/7.
2*(c - 347)*(c + 2)/7
Factor 428*a**2 - 452*a + 24.
4*(a - 1)*(107*a - 6)
Determine k so that 4*k**4/3 + 640*k**3 + 1912*k**2 + 5728*k/3 + 636 = 0.
-477, -1
Let -30*g**3 - 2675*g**2 + 2245*g - 450 = 0. Calculate g.
-90, 1/3, 1/2
Solve -120*k**3 + 425*k**2 - 455*k + 150 = 0 for k.
2/