3 - x**2 + 21*x/2 + 11/2 = 0 for x.
-1, 1, 11
Suppose -2*s**2 + 20*s - 32 = 0. Calculate s.
2, 8
Find r, given that r**3/6 - 29*r**2/3 - 521*r/6 - 77 = 0.
-7, -1, 66
Factor -l**3/6 - l**2/2 + 4*l - 14/3.
-(l - 2)**2*(l + 7)/6
Factor -2*o**4/5 + 8*o**3/5 + 4*o**2/5 - 24*o/5 - 18/5.
-2*(o - 3)**2*(o + 1)**2/5
Solve 172*k**3 - 1040*k**2 - 1156*k + 56 = 0 for k.
-1, 2/43, 7
Solve -5*k**2 + 80*k + 805 = 0.
-7, 23
Factor k**4/9 + 107*k**3/9 + 437*k**2 + 61009*k/9 + 342950/9.
(k + 19)**3*(k + 50)/9
What is m in 5*m**4 + 5*m**3 - 15*m**2 - 5*m + 10 = 0?
-2, -1, 1
Determine g so that -365*g**4/6 + 245*g**3 - 1135*g**2/6 + 5*g = 0.
0, 2/73, 1, 3
Find k, given that -k**4 + k**3 + 490*k**2 + 1448*k + 960 = 0.
-20, -2, -1, 24
What is t in t**3/2 + 25*t**2/2 + 26*t - 336 = 0?
-21, -8, 4
Find b, given that -3*b**2/8 - 345*b/8 = 0.
-115, 0
Suppose -4*l**3 + 396*l**2 + 4*l - 396 = 0. Calculate l.
-1, 1, 99
Factor 5*y**4/2 - 25*y**3 + 165*y**2/2 - 110*y + 50.
5*(y - 5)*(y - 2)**2*(y - 1)/2
Determine s, given that -s**3/2 + 1221*s**2/2 - 186660*s + 186050 = 0.
1, 610
Solve 441*s**3 + 4368*s**2 - 419*s + 10 = 0.
-10, 1/21
Factor 5*r**3 - 29*r**2 + 259*r/5 - 147/5.
(r - 3)*(5*r - 7)**2/5
Factor -2*z**3/3 - 1354*z**2 - 916658*z - 620577466/3.
-2*(z + 677)**3/3
Determine q, given that -9*q**4/2 + 267*q**3/4 - 1215*q**2/4 + 1701*q/4 - 735/4 = 0.
1, 35/6, 7
Suppose g**4/5 + 2*g**3/5 - g**2 - 6*g/5 = 0. What is g?
-3, -1, 0, 2
Find h, given that -4*h**3/5 + 7852*h**2/5 - 23528*h/5 + 3136 = 0.
1, 2, 1960
What is b in 2*b**4 - 48*b**3 - 106*b**2 + 48*b + 104 = 0?
-2, -1, 1, 26
Factor 3*n**2 - 3168*n + 836352.
3*(n - 528)**2
Factor -5*s**4/3 + 230*s**3 - 10995*s**2 + 211140*s - 1404540.
-5*(s - 51)**2*(s - 18)**2/3
Factor -4*a**2/7 + 1518*a/7 + 2286/7.
-2*(a - 381)*(2*a + 3)/7
Solve i**3/3 + 43*i**2/3 = 0.
-43, 0
Find a, given that 22*a**5 - 162*a**4 + 3286*a**3/11 - 2234*a**2/11 + 48*a - 40/11 = 0.
2/11, 1, 5
Let -4*n**3 + 8*n**2 - 4*n = 0. What is n?
0, 1
Factor -2*s**2/5 - 26*s/5 - 72/5.
-2*(s + 4)*(s + 9)/5
Factor 9*i**2/2 + 75*i/2 + 12.
3*(i + 8)*(3*i + 1)/2
Factor -2*q**3/7 - 884*q**2/7 + 3562*q/7 - 2676/7.
-2*(q - 3)*(q - 1)*(q + 446)/7
Let 3*l**3 - 114*l**2 + 507*l - 396 = 0. What is l?
1, 4, 33
Let 2*p**4 + 68*p**3 + 184*p**2 - 1616*p + 1920 = 0. What is p?
-30, -8, 2
Solve -3*f**3 + 12*f**2 - 9*f = 0 for f.
0, 1, 3
Let -c**5/2 - 3*c**4 - 9*c**3/2 - 2*c**2 = 0. What is c?
-4, -1, 0
Determine b, given that -6*b**5/13 - 128*b**4/13 - 870*b**3/13 - 1620*b**2/13 + 1856*b/13 + 768/13 = 0.
-8, -6, -1/3, 1
Solve -3*l**3/2 + 63*l**2 + 1323*l/2 + 1377 = 0.
-6, -3, 51
Factor 4*q**4/9 - 16*q**3/3 + 16*q**2/3 + 320*q/9.
4*q*(q - 10)*(q - 4)*(q + 2)/9
Solve -5*n**2 - 43*n - 66 = 0.
-33/5, -2
Solve -657*o**2/4 + o/2 = 0 for o.
0, 2/657
What is t in -t**2 + 2444*t - 4884 = 0?
2, 2442
Determine p so that 4*p**4 - 96*p**3 = 0.
0, 24
Determine z so that 2*z**2 + 42*z = 0.
-21, 0
Let -2*x**2/15 - 206*x/15 - 68/5 = 0. What is x?
-102, -1
Factor d**3 + 1372*d**2 - d - 1372.
(d - 1)*(d + 1)*(d + 1372)
Factor -13*i**2/3 + 44*i/3 - 5.
-(i - 3)*(13*i - 5)/3
Let 2*s**3 + 670*s**2 + 1326*s - 1998 = 0. Calculate s.
-333, -3, 1
Factor 2*k**2 - 84*k + 160.
2*(k - 40)*(k - 2)
Factor 2*t**3 - 104*t**2 - 216*t.
2*t*(t - 54)*(t + 2)
Factor 18*l**2/5 + 1468*l/5 + 448.
2*(l + 80)*(9*l + 14)/5
Let 8*n**3/3 + 18*n**2 - 152*n/3 + 30 = 0. Calculate n.
-9, 1, 5/4
Let -2*v**3 - 6*v**2 = 0. What is v?
-3, 0
Factor 4*v**3 + 8*v**2 - 12*v.
4*v*(v - 1)*(v + 3)
Suppose -5*b**4 - 265*b**3 + 1710*b**2 - 3500*b + 2360 = 0. What is b?
-59, 2
Factor -q**5/10 - 2*q**4 - 77*q**3/10 + 121*q**2/5.
-q**2*(q - 2)*(q + 11)**2/10
Let 4*t**3/3 - 32*t**2/3 + 44*t/3 + 80/3 = 0. Calculate t.
-1, 4, 5
Factor 3*o**3 - 39*o**2 - 327*o - 285.
3*(o - 19)*(o + 1)*(o + 5)
Find c such that 2*c**5/13 - 68*c**4/13 + 126*c**3/13 + 68*c**2/13 - 128*c/13 = 0.
-1, 0, 1, 2, 32
Determine g, given that -g**5/3 + 14*g**4/3 + 95*g**3 + 234*g**2 = 0.
-9, -3, 0, 26
Factor -1200*y**3 + 140*y**2 + 1128*y - 468.
-4*(5*y - 3)**2*(12*y + 13)
Determine g, given that -9*g**5/4 - 93*g**4/2 - 135*g**3/2 + 75*g**2 + 279*g/4 - 57/2 = 0.
-19, -2, -1, 1/3, 1
Suppose -4*s**5 - 52*s**4 - 232*s**3 - 360*s**2 + 108*s + 540 = 0. What is s?
-5, -3, 1
Factor 30*x**2/11 + 2*x - 8/11.
2*(x + 1)*(15*x - 4)/11
Factor z**2/2 + 615*z/2 - 617.
(z - 2)*(z + 617)/2
Let -2*s**3 + 104*s**2 - 1242*s - 2916 = 0. What is s?
-2, 27
Solve 4*c**5 - 32*c**4 + 88*c**3 - 96*c**2 + 36*c = 0.
0, 1, 3
Factor g**3 + 490*g**2 + 60993*g + 236196.
(g + 4)*(g + 243)**2
Solve t**3 - 115*t**2 - 977*t - 861 = 0 for t.
-7, -1, 123
Factor -x**2/2 - 1431*x - 2047761/2.
-(x + 1431)**2/2
Factor 4*g**2 + 460*g - 5000.
4*(g - 10)*(g + 125)
Suppose -28*u**2 + 4152*u - 1184 = 0. What is u?
2/7, 148
Find q such that -q**2/3 + 10*q/3 = 0.
0, 10
Suppose -2*q**4/5 + 36*q**3/5 + 8*q**2 - 36*q/5 - 38/5 = 0. Calculate q.
-1, 1, 19
Factor 44*r**2 + 520*r - 96.
4*(r + 12)*(11*r - 2)
Factor -2*d**3/5 - 76*d**2/5 - 394*d/5 - 64.
-2*(d + 1)*(d + 5)*(d + 32)/5
Factor 3*k**4/2 - 21*k**3/2 + 51*k**2/2 - 51*k/2 + 9.
3*(k - 3)*(k - 2)*(k - 1)**2/2
Suppose 20*x**5/17 - 302*x**4/17 + 1464*x**3/17 - 2294*x**2/17 - 208*x/17 + 672/17 = 0. Calculate x.
-1/2, 3/5, 4, 7
Suppose n**4/2 - 7*n**3 + 36*n**2 - 81*n + 135/2 = 0. What is n?
3, 5
Factor -2*q**3/13 + 10*q**2/13 + 48*q/13.
-2*q*(q - 8)*(q + 3)/13
Factor 2*u**3 - 70*u**2 + 256*u - 248.
2*(u - 31)*(u - 2)**2
Determine v, given that -v**4 + 139*v**3 - 4758*v**2 - 5180*v + 9800 = 0.
-2, 1, 70
Find j such that -j**2 + 74*j + 152 = 0.
-2, 76
Solve 100*y**4 + 1415*y**3 + 125*y**2 - 1220*y - 420 = 0.
-14, -3/4, -2/5, 1
Factor -2*j**3 + 334*j**2 - 660*j.
-2*j*(j - 165)*(j - 2)
Determine y so that y**4 - 30*y**3 + 153*y**2 - 216*y = 0.
0, 3, 24
What is r in -3*r**2/7 + 396*r/7 = 0?
0, 132
Factor -r**4/4 - 19*r**3/4 - 51*r**2/4 - 49*r/4 - 4.
-(r + 1)**3*(r + 16)/4
Determine f, given that -f**2 + 6*f + 72 = 0.
-6, 12
Determine c, given that -4*c**4 + 616*c**3 - 24324*c**2 + 46816*c - 23104 = 0.
1, 76
Determine i, given that 2*i**3/13 - 6*i**2 = 0.
0, 39
Factor p**2/2 - 111*p + 12321/2.
(p - 111)**2/2
Factor 2*p**5/17 - 76*p**4/17 + 146*p**3/17 - 72*p**2/17.
2*p**2*(p - 36)*(p - 1)**2/17
Factor 2*d**4/7 + 844*d**3/7 - 242*d**2 + 848*d/7.
2*d*(d - 1)**2*(d + 424)/7
Determine h so that 2*h**2 - 116*h + 1682 = 0.
29
Suppose 9*c**4/5 - 1776*c**3/5 - 4791*c**2/5 - 1806*c/5 + 240 = 0. What is c?
-2, -1, 1/3, 200
Determine d so that d**3 + d**2 - 25*d - 25 = 0.
-5, -1, 5
Factor t**2/4 - 129*t/2 + 16641/4.
(t - 129)**2/4
Solve -2*m**2/9 + 10*m/9 + 100/9 = 0 for m.
-5, 10
Factor -10*i**2 - 86*i/7 - 16/7.
-2*(i + 1)*(35*i + 8)/7
Factor t**2/5 + 2*t + 24/5.
(t + 4)*(t + 6)/5
Find s, given that -2*s**3/11 + 518*s**2/11 - 33798*s/11 + 33282/11 = 0.
1, 129
Find n, given that -2*n**4/21 - 212*n**3/3 + 496*n**2/7 + 212*n/3 - 1486/21 = 0.
-743, -1, 1
Find g, given that 10*g**2/3 - 64*g/3 + 8 = 0.
2/5, 6
Factor -3*n**3/7 - 204*n**2/7 - 396*n/7.
-3*n*(n + 2)*(n + 66)/7
Factor -4*n**4 - 56*n**3 - 180*n**2 + 224*n + 784.
-4*(n - 2)*(n + 2)*(n + 7)**2
Factor 242*q**3 - 11088*q**2 + 169344*q - 9483264/11.
2*(11*q - 168)**3/11
Let -2*u**5 - 24*u**4 + 64*u**3 + 108*u**2 - 62*u - 84 = 0. Calculate u.
-14, -1, 1, 3
Let -15*m**4 + 545*m**3 - 4455*m**2 + 5175*m - 1250 = 0. Calculate m.
1/3, 1, 10, 25
Suppose 12*d**4 - 39*d**3 - 147*d**2 + 219*d - 45 = 0. What is d?
-3, 1/4, 1, 5
Factor 11*c**2 - 1740*c + 316.
(c - 158)*(11*c - 2)
Let -3*q**3/4 - 39*q**2/4 - 9*q = 0. What is q?
-12, -1, 0
Factor -20*t**2 - 71552*t + 28624.
-4*(t + 3578)*(5*t - 2)
Suppose -10*b**4/23 - 386*b**3/23 + 1396*b**2/23 - 1336*b/23 + 336/23 = 0. Calculate b.
-42, 2/5, 1, 2
Factor 4*b**2 + 68*b + 264.
4*(b + 6)*(b + 11)
Factor 4*u**2/9 - 40*u/9 - 52/3.
4*(u - 13)*(u + 3)/9
Factor -2*k**5 - 118*k**4 - 2150*k**3 - 8442*k**2 + 63504*k - 74088.
-2*(k - 2)**2*(k + 21)**3
What is x in x**4 - 2*x**3 - 11*x**2 + 12*x = 0?
-3, 0, 1, 4
Factor 2*k**3/11 + 30*k**2/11 - 188*k/11 + 240/11.
2*(k - 3)*(k - 2)*(k + 20)/11
Factor 5*w**4/2 + 25*w**3/2 + 10*w**2.
5*w**2*(w + 1)*(w + 4)/2
Factor -d**3 + 56*d**2 + 175*d + 118.
-(d - 59)*(d + 1)*(d + 2)
Factor b**2/3 + 3*b + 14/3.
(b + 2)*(b + 7)/3
What is k in -10*k**5 + 46*k**4 + 90*k**3 - 382*k**2 + 136*k 