*u**2 - 1080*u = 0. What is u?
-18, -1, 0, 2, 6
Solve 5*g**5 + 45*g**4 - 55*g**3 - 45*g**2 + 50*g = 0 for g.
-10, -1, 0, 1
Factor -2*x**3/11 + 58*x**2/11 + 2*x/11 - 58/11.
-2*(x - 29)*(x - 1)*(x + 1)/11
Factor -4*l**4 - 65*l**3 - 128*l**2 - 28*l.
-l*(l + 2)*(l + 14)*(4*l + 1)
Let 3*t**5 - 144*t**4 - 1641*t**3 - 5622*t**2 - 6912*t - 2784 = 0. What is t?
-4, -1, 58
Factor -3*y**2 + 93*y - 594.
-3*(y - 22)*(y - 9)
Factor q**2/8 + 18*q + 71/2.
(q + 2)*(q + 142)/8
Factor 2*k**4 - 4*k**3 - 30*k**2 - 8*k + 40.
2*(k - 5)*(k - 1)*(k + 2)**2
Factor 2*c**3/7 - 674*c**2/7 + 1340*c/7.
2*c*(c - 335)*(c - 2)/7
Suppose -2*z**2 + 7024*z - 6167072 = 0. What is z?
1756
Factor -2*o**3/7 + 8*o**2/7 - 10*o/7 + 4/7.
-2*(o - 2)*(o - 1)**2/7
Find c, given that 4*c**2 - 88*c = 0.
0, 22
Factor 54*b**3 - 106*b**2 - 4*b.
2*b*(b - 2)*(27*b + 1)
Factor w**4/3 + 3*w**3 - 11*w**2 + 35*w/3 - 4.
(w - 1)**3*(w + 12)/3
Factor -t**2 + 4*t + 21.
-(t - 7)*(t + 3)
Solve 3*i**2/7 - 234*i/7 + 33 = 0.
1, 77
Factor o**4/2 + 135*o**3 + 17953*o**2/2 - 18360*o + 9248.
(o - 1)**2*(o + 136)**2/2
Let 2*j**2/9 - 46*j/9 + 20 = 0. What is j?
5, 18
Solve -140*r**4/9 - 272*r**3/9 + 436*r**2/9 - 8*r/3 = 0 for r.
-3, 0, 2/35, 1
Find p such that p**5/6 - 2*p**4/3 - 32*p**3/3 + 203*p**2/3 - 203*p/2 + 45 = 0.
-9, 1, 5, 6
Factor 2*y**5/7 + 18*y**4/7 + 52*y**3/7 + 68*y**2/7 + 6*y + 10/7.
2*(y + 1)**4*(y + 5)/7
Solve 25*f**5 + 15*f**4 - 85*f**3 + 5*f**2 + 60*f - 20 = 0.
-2, -1, 2/5, 1
Determine q so that -5*q**5/4 + 5*q**4/2 + 35*q**3/4 + 5*q**2 = 0.
-1, 0, 4
Suppose -2*v**5/5 - 2*v**4 + 86*v**3/5 - 134*v**2/5 + 12*v = 0. What is v?
-10, 0, 1, 3
Solve 2*w**3/13 + 6*w**2/13 - 36*w/13 = 0 for w.
-6, 0, 3
Solve 5*d**2/2 + 265*d + 14045/2 = 0 for d.
-53
Factor -m**3 + 43*m + 42.
-(m - 7)*(m + 1)*(m + 6)
Solve -3*y**5 - 18*y**4 - 24*y**3 + 48*y**2 + 144*y + 96 = 0.
-2, 2
Factor 2*j**4 - 52*j**3 - 2*j**2 + 52*j.
2*j*(j - 26)*(j - 1)*(j + 1)
Determine y so that -1250*y**2 - 3800*y - 2888 = 0.
-38/25
Factor -4*w**3 - 60*w**2 + 208*w - 144.
-4*(w - 2)*(w - 1)*(w + 18)
Factor 2*c**2/15 - 966*c/5 - 2904/5.
2*(c - 1452)*(c + 3)/15
Solve 5*c**3 + 30*c**2 - 80*c = 0 for c.
-8, 0, 2
What is c in 3*c**5 - 321*c**4 + 312*c**3 + 636*c**2 = 0?
-1, 0, 2, 106
Find c such that 3*c**2/2 - 24*c + 42 = 0.
2, 14
Find s, given that 5*s**2 - 29180*s + 42573620 = 0.
2918
Find i, given that -8*i**3 - 94*i**2 - 264*i + 72 = 0.
-6, 1/4
Find j such that j**3/4 - 65*j**2/2 + 1023*j + 2178 = 0.
-2, 66
Factor -2*w**2/9 - 748*w/9.
-2*w*(w + 374)/9
What is s in -6*s**3/7 + 109*s**2/7 - 120*s/7 + 17/7 = 0?
1/6, 1, 17
Factor 4*d**4/3 - 28*d**3/3 - 292*d**2/3 - 260*d/3.
4*d*(d - 13)*(d + 1)*(d + 5)/3
Let 6*m**4/11 - 26*m**3/11 - 164*m**2/11 - 96*m/11 = 0. Calculate m.
-3, -2/3, 0, 8
Factor -343*v**5/6 + 5978*v**4/3 - 109207*v**3/6 + 43915*v**2/3 - 12274*v/3 + 1156/3.
-(v - 17)**2*(7*v - 2)**3/6
Factor 4*z**3 - 252*z**2 - 1072*z.
4*z*(z - 67)*(z + 4)
Suppose -2*k**3/21 + 4*k**2/7 - 6*k/7 + 8/21 = 0. What is k?
1, 4
Solve -25*n**3 - 205*n**2 + 230*n = 0 for n.
-46/5, 0, 1
Factor 6*p**3 + 71*p**2 - 13*p - 12.
(p + 12)*(2*p - 1)*(3*p + 1)
Factor 4*h**4 - 36*h**3 - 164*h**2 + 2340*h - 5600.
4*(h - 7)*(h - 5)**2*(h + 8)
Factor -2*v**3 + 134*v**2 + 140*v - 272.
-2*(v - 68)*(v - 1)*(v + 2)
Factor -3*o**4/4 - 63*o**3/2 + 297*o**2/4 + 8505*o - 54675.
-3*(o - 9)**2*(o + 30)**2/4
Suppose -x**5/6 - 9*x**4/2 - 25*x**3/6 + 9*x**2/2 + 13*x/3 = 0. What is x?
-26, -1, 0, 1
Factor -2*x**3 + 1440*x**2 - 345600*x + 27648000.
-2*(x - 240)**3
Let -114*r**5/5 - 364*r**4 - 4724*r**3/5 + 44856*r**2/5 + 193942*r/5 - 1372 = 0. What is r?
-7, 2/57, 5
Determine l so that 2*l**4/13 - 388*l**3/13 + 2648*l**2/13 - 5628*l/13 + 3366/13 = 0.
1, 3, 187
Factor 4*u**5 + 32*u**4 + 24*u**3 - 32*u**2 - 28*u.
4*u*(u - 1)*(u + 1)**2*(u + 7)
Let -2*m**3/3 + 8*m**2/3 + 22*m/3 - 20 = 0. What is m?
-3, 2, 5
Determine n so that 3*n**5 - 63*n**4 - 300*n**3 - 48*n**2 + 1152*n + 1200 = 0.
-2, 2, 25
Factor -2*v**3 - 176*v**2 - 3690*v + 8100.
-2*(v - 2)*(v + 45)**2
Factor -3*o**4/5 + 42*o**3/5 - 207*o**2/5 + 84*o - 60.
-3*(o - 5)**2*(o - 2)**2/5
Factor -3*l**4 - 21*l**3 - 48*l**2 - 36*l.
-3*l*(l + 2)**2*(l + 3)
Factor 4*q**5 + 44*q**4 + 140*q**3 + 100*q**2.
4*q**2*(q + 1)*(q + 5)**2
Factor t**2/2 + 28*t/3 + 88/3.
(t + 4)*(3*t + 44)/6
Suppose -3*n**3 + 63*n**2 - 189*n - 255 = 0. What is n?
-1, 5, 17
Factor -5*d**3 - 710*d**2 - 4125*d - 6120.
-5*(d + 3)**2*(d + 136)
Factor 2*d**2 - 8*d - 24.
2*(d - 6)*(d + 2)
Determine i so that -2*i**4 - 34*i**3 + 2*i**2 + 34*i = 0.
-17, -1, 0, 1
Factor 3*f**2/5 + 21174*f/5 + 37361523/5.
3*(f + 3529)**2/5
Factor -4*n**4 + 4*n**3 + 20*n**2 + 12*n.
-4*n*(n - 3)*(n + 1)**2
Factor -z**4 + 412*z**3 + z**2 - 412*z.
-z*(z - 412)*(z - 1)*(z + 1)
Factor -5*w**5 - 3185*w**4 - 761610*w**3 - 81152010*w**2 - 3276038385*w - 3195644805.
-5*(w + 1)*(w + 159)**4
Factor -5*z**4 + 25*z**3 - 15*z**2 - 25*z + 20.
-5*(z - 4)*(z - 1)**2*(z + 1)
Solve 4*a**5 + 64*a**4 + 48*a**3 - 184*a**2 - 52*a + 120 = 0 for a.
-15, -2, -1, 1
Factor -2*g**3/9 + 2*g**2/3 + 8*g/9 - 8/3.
-2*(g - 3)*(g - 2)*(g + 2)/9
Find c, given that -4*c**4/7 - 52*c**3/7 - 40*c**2/7 + 96*c/7 = 0.
-12, -2, 0, 1
Find t such that 16*t**4 + 3*t**3 - 48*t**2 - 41*t - 6 = 0.
-1, -3/16, 2
Suppose 4*l**5 + 48*l**4 + 132*l**3 - 152*l**2 - 528*l - 288 = 0. What is l?
-6, -1, 2
Factor -y**2/4 + 23*y/4 + 105/2.
-(y - 30)*(y + 7)/4
Determine x so that 2*x**3/9 + 56*x**2/9 + 110*x/3 - 100 = 0.
-15, 2
Factor 4*q**3 - 216*q**2 - 228*q + 440.
4*(q - 55)*(q - 1)*(q + 2)
Factor -5*r**5 + 25*r**4 + 160*r**3 + 180*r**2.
-5*r**2*(r - 9)*(r + 2)**2
Factor -343*j**4/6 - 6223*j**3/6 + 917*j**2 - 794*j/3 + 76/3.
-(j + 19)*(7*j - 2)**3/6
Factor -u**2/5 + 56*u/5 - 51.
-(u - 51)*(u - 5)/5
Factor 3*x**2 + 474*x + 1395.
3*(x + 3)*(x + 155)
Let g**3/8 - 399*g**2/4 + 19800*g + 40000 = 0. What is g?
-2, 400
Factor 5*y**3 + 100*y**2 - 20*y - 400.
5*(y - 2)*(y + 2)*(y + 20)
What is u in 3*u**5/2 - 165*u**4 + 1899*u**3/2 - 1404*u**2 = 0?
0, 3, 104
Determine y, given that -2*y**5 - 601*y**4 + 1511*y**3 - 1211*y**2 + 303*y = 0.
-303, 0, 1/2, 1
Factor 2*y**4/3 + 904*y**3/3 + 102152*y**2/3.
2*y**2*(y + 226)**2/3
Factor -2*r**2 - 56*r - 264.
-2*(r + 6)*(r + 22)
Factor -4*l**4/9 - 56*l**3/3 + 60*l**2.
-4*l**2*(l - 3)*(l + 45)/9
Suppose -2*l**4/11 - 8*l**3/11 - 2*l**2/11 + 12*l/11 = 0. Calculate l.
-3, -2, 0, 1
Factor u**3/2 + 137*u**2/2 + 68*u.
u*(u + 1)*(u + 136)/2
Factor 5*x**2 + 165*x - 950.
5*(x - 5)*(x + 38)
Factor 16*a**2 - 582*a + 770.
2*(a - 35)*(8*a - 11)
Suppose 3*w**2 + 78*w + 75 = 0. What is w?
-25, -1
Factor -2*v**5/3 - 56*v**4/3 + 244*v**3/3 - 376*v**2/3 + 254*v/3 - 64/3.
-2*(v - 1)**4*(v + 32)/3
Let 2*z**5/11 - 32*z**4/11 + 200*z**3/11 - 608*z**2/11 + 896*z/11 - 512/11 = 0. What is z?
2, 4
Suppose 2*g**3/13 + 4*g**2 - 8*g/13 - 16 = 0. What is g?
-26, -2, 2
Suppose -5*k**2 + 30*k - 25 = 0. Calculate k.
1, 5
Let t**3/4 - 67*t**2/4 - 105*t/2 = 0. What is t?
-3, 0, 70
Factor -3*y**4/2 + 3*y**2/2.
-3*y**2*(y - 1)*(y + 1)/2
Factor q**3/3 - 20*q**2/3 + 11*q + 102.
(q - 17)*(q - 6)*(q + 3)/3
Let -44*l**3 - 564*l**2 + 720*l - 112 = 0. Calculate l.
-14, 2/11, 1
Find d, given that -2*d**3/9 + 104*d**2/9 = 0.
0, 52
What is o in -o**4/2 + 6*o**3 + o**2/2 - 6*o = 0?
-1, 0, 1, 12
Determine t so that -t**4/4 - 309*t**3/4 - 77*t**2 = 0.
-308, -1, 0
What is c in -2*c**4/13 - 324*c**3/13 - 1576*c**2/13 - 924*c/13 + 2826/13 = 0?
-157, -3, 1
Factor -m**3/5 - 11*m**2/5 - 3*m + 27/5.
-(m - 1)*(m + 3)*(m + 9)/5
Let 3*m**5 + 3435*m**4 + 1573230*m**3 + 360269670*m**2 + 41250877215*m + 1889290176447 = 0. Calculate m.
-229
Find b, given that b**2/5 - 52*b/5 - 108/5 = 0.
-2, 54
Determine s so that -s**4/2 - 39*s**3/2 + s**2/2 + 39*s/2 = 0.
-39, -1, 0, 1
Factor -c**4 + c**3 + 5*c**2 + 3*c.
-c*(c - 3)*(c + 1)**2
Determine s so that -2*s**5/15 + 14*s**4/15 + 2*s**3/5 - 46*s**2/15 + 28*s/15 = 0.
-2, 0, 1, 7
Solve -6*a**5 - 94*a**4/3 + 106*a**3/3 + 118*a**2/3 - 88*a/3 - 8 = 0.
-6, -1, -2/9, 1
Find v, given that 2*v**2/7 + 82*v - 576/7 = 0.
-288, 1
Determine x so that 3*x**5/5 + 3*x**4 - 18*x**3/5 - 96*x**2/5 + 96*x/5 = 0.
-4, 0, 1, 2
Suppose -2*n**4 - 24*n**3 - 72*n**2 = 0. What is n?
-6, 0
Determine b, given that 4*b**3/3 - 172*b**2 + 5952*b - 76880/3 = 0.
5, 62
Find a such that