o + 1)**2*(o + 7)/3
Factor -3*h**2 + 834*h.
-3*h*(h - 278)
Determine j so that -2*j**3/5 + 1688*j**2/5 + 3382*j/5 + 1692/5 = 0.
-1, 846
Factor 2*m**3/15 - 242*m**2/15 + 8288*m/15 - 18816/5.
2*(m - 56)**2*(m - 9)/15
Determine y so that -y**5 - 135*y**4 + 429*y**3 + 2087*y**2 + 2352*y + 828 = 0.
-138, -1, 6
Let -5*z**5 + 4570*z**4 + 15*z**3 - 13700*z**2 - 9140*z = 0. Calculate z.
-1, 0, 2, 914
Determine y, given that 3*y**2 + 141*y = 0.
-47, 0
Determine g, given that -688*g**3/7 + 1378*g**2/7 - 692*g/7 + 2/7 = 0.
1/344, 1
Factor -2*o**2 - 12*o + 32.
-2*(o - 2)*(o + 8)
Let d**3/2 + 735*d**2 + 360150*d + 58824500 = 0. What is d?
-490
Factor -4*o**5 + 56*o**4 - 196*o**3.
-4*o**3*(o - 7)**2
Factor 65*s**3 + 22240*s**2 + 1904085*s + 292410.
5*(s + 171)**2*(13*s + 2)
Find o, given that 2*o**5 + 24*o**4 + 66*o**3 - 76*o**2 - 264*o - 144 = 0.
-6, -1, 2
Suppose -3*a**2 + 39*a = 0. What is a?
0, 13
Solve -5*j**3 + 5*j**2 + 25*j + 15 = 0 for j.
-1, 3
Suppose -4*p**2/7 + 1040*p/7 + 2096/7 = 0. What is p?
-2, 262
Factor -d**2/3 + 64*d - 3072.
-(d - 96)**2/3
Factor 4*r**4 - 128*r**3 - 132*r**2.
4*r**2*(r - 33)*(r + 1)
Find b such that -3*b**3/5 + 369*b**2/5 - 12528*b/5 + 70644/5 = 0.
7, 58
Suppose 2*i**4 + 18*i**3 - 66*i**2 + 70*i - 24 = 0. Calculate i.
-12, 1
What is p in 2*p**5 - 2*p**4 - 10*p**3 - 6*p**2 = 0?
-1, 0, 3
Find d, given that d**5/3 + 8*d**4/3 + 23*d**3/3 + 28*d**2/3 + 4*d = 0.
-3, -2, -1, 0
Factor -o**4/3 - 5*o**3 - 14*o**2/3.
-o**2*(o + 1)*(o + 14)/3
Factor -5*p**2 - 2180*p - 237620.
-5*(p + 218)**2
Determine p, given that 3*p**3 - 5076*p**2 = 0.
0, 1692
Find z, given that -81*z**2/5 - 32*z + 4/5 = 0.
-2, 2/81
Factor 4*b**5 + 20*b**4 + 36*b**3 + 28*b**2 + 8*b.
4*b*(b + 1)**3*(b + 2)
Factor 2*l**2 - 118*l.
2*l*(l - 59)
Factor -d**4/3 + 19*d**2/3 - 10*d.
-d*(d - 3)*(d - 2)*(d + 5)/3
Factor -l**2/4 + 1003*l/4 - 501/2.
-(l - 1002)*(l - 1)/4
Factor 4*k**2/7 - 56*k + 1372.
4*(k - 49)**2/7
Let -7*x**3/4 + 39*x**2/4 + 11*x/2 - 6 = 0. What is x?
-1, 4/7, 6
Factor -k**3/3 + 58*k**2/3 + 59*k/3.
-k*(k - 59)*(k + 1)/3
Determine c, given that -c**4 + 11*c**3 - 4*c**2 - 60*c = 0.
-2, 0, 3, 10
Determine l, given that -2*l**2/5 - 1838*l/5 + 368 = 0.
-920, 1
Solve o**3/4 - 7197*o**2/4 + 12945603*o/4 + 12952801/4 = 0 for o.
-1, 3599
Factor -n**2/4 + 217*n/2 - 47089/4.
-(n - 217)**2/4
Find x such that -144*x**3/5 + 2868*x**2/5 - 14632*x/5 + 3481/5 = 0.
1/4, 59/6
Find h such that h**3/2 - 19*h**2 + 171*h/2 - 99 = 0.
2, 3, 33
Factor -3*x**3/7 - 9*x**2/7 + 102*x/7 - 144/7.
-3*(x - 3)*(x - 2)*(x + 8)/7
What is s in s**4/4 + 15*s**3/2 + 56*s**2 - 15*s/2 - 225/4 = 0?
-15, -1, 1
Suppose 14*o**5/3 - 178*o**4/3 - 1270*o**3/3 - 410*o**2 + 672*o + 216 = 0. Calculate o.
-3, -2/7, 1, 18
Factor -4*x**4 + 56*x**3 - 68*x**2 - 320*x - 192.
-4*(x - 12)*(x - 4)*(x + 1)**2
Let -2*r**4/13 + 6*r**2/13 + 4*r/13 = 0. What is r?
-1, 0, 2
Factor -3*j**3/7 - 277*j**2/7 - 920*j - 2116/7.
-(j + 46)**2*(3*j + 1)/7
Factor -10*m**5 - 35*m**4 - 40*m**3 - 15*m**2.
-5*m**2*(m + 1)**2*(2*m + 3)
Factor 5*m**2 - 6030*m + 1818045.
5*(m - 603)**2
Factor 2*i**2/7 + 242*i/7 + 240/7.
2*(i + 1)*(i + 120)/7
Factor 2*x**2/5 - 32*x/5 - 264/5.
2*(x - 22)*(x + 6)/5
What is y in 4*y**3/3 + 14*y**2/3 - 1496*y/3 + 968 = 0?
-22, 2, 33/2
Factor -s**3 - 8*s**2.
-s**2*(s + 8)
Determine n, given that 18*n**4/7 + 148*n**3/7 - 760*n**2/7 + 688*n/7 + 192/7 = 0.
-12, -2/9, 2
Factor -12*i**2 - 81*i + 21.
-3*(i + 7)*(4*i - 1)
Factor t**5 + 8*t**4 + 5*t**3 - 50*t**2.
t**2*(t - 2)*(t + 5)**2
Determine q so that -2*q**4/13 + 20*q**3/13 - 58*q**2/13 + 16*q/13 + 96/13 = 0.
-1, 3, 4
Factor -2*i**4/7 - 12*i**3/7 + 2*i**2.
-2*i**2*(i - 1)*(i + 7)/7
Solve -3*a**2/2 - 63*a - 891/2 = 0.
-33, -9
Find t, given that 2*t**4/17 - 40*t**3/17 - 88*t**2/17 = 0.
-2, 0, 22
Solve 3*b**5 - 12*b**4 + 6*b**3 + 12*b**2 - 9*b = 0.
-1, 0, 1, 3
Factor -2*a**2/13 - 160*a/13 - 3200/13.
-2*(a + 40)**2/13
What is c in -c**5/4 - 45*c**4/4 - 11*c**3 = 0?
-44, -1, 0
Determine v, given that 5*v**3 - 25*v**2 - 85*v + 105 = 0.
-3, 1, 7
Factor 4*l**2 - 472*l - 476.
4*(l - 119)*(l + 1)
Factor -2*m**3/11.
-2*m**3/11
Suppose -4*x**4 + 80*x**3 + 88*x**2 - 80*x - 84 = 0. Calculate x.
-1, 1, 21
Factor -16*t**3/5 + 49144*t**2/5 + 4915*t + 3072/5.
-(t - 3072)*(4*t + 1)**2/5
Solve 7*n**5/2 + 23*n**4/2 + 27*n**3/2 + 13*n**2/2 + n = 0 for n.
-1, -2/7, 0
Factor -2*x**2 - 334*x - 1620.
-2*(x + 5)*(x + 162)
Factor -p**2 - 4*p + 21.
-(p - 3)*(p + 7)
Solve 2*r**3 + 66*r**2 + 118*r - 186 = 0 for r.
-31, -3, 1
Suppose -4*k**2 - 372*k - 1424 = 0. Calculate k.
-89, -4
Let 3*s**5 + 48*s**4 - 225*s**3 + 294*s**2 - 120*s = 0. Calculate s.
-20, 0, 1, 2
Find m, given that -4*m**5 + 549*m**4 - 25517*m**3 + 419445*m**2 - 832275*m + 182250 = 0.
1/4, 2, 45
Factor 2*x**3/9 + 4090*x**2/9 + 696322*x/3 - 232562.
2*(x - 1)*(x + 1023)**2/9
Factor h**3 + 2130*h**2 + 1512300*h + 357911000.
(h + 710)**3
Factor -3*i**2/5 + 69*i/5 - 72.
-3*(i - 15)*(i - 8)/5
Let -3*g**3 + 327*g**2 - 9072*g + 8748 = 0. What is g?
1, 54
Find z such that 2*z**2 + 444*z + 24642 = 0.
-111
Factor -27*j**3/5 - 12*j**2/5.
-3*j**2*(9*j + 4)/5
Determine m so that -4*m**2 + 68*m - 64 = 0.
1, 16
Factor -s**2 + 54*s - 288.
-(s - 48)*(s - 6)
Factor 4*z**2 + 428*z + 424.
4*(z + 1)*(z + 106)
Factor p**3 + 59*p**2 - 62*p - 120.
(p - 2)*(p + 1)*(p + 60)
Factor -4*g**3/7 - 70*g**2 - 968*g/7 - 482/7.
-2*(g + 1)**2*(2*g + 241)/7
Determine w so that 4*w**2 + 50*w - 26 = 0.
-13, 1/2
Let -3*v**2 - 5184*v - 2239488 = 0. Calculate v.
-864
Factor -3*g**2 + 264*g - 5808.
-3*(g - 44)**2
Let a**5 - 5*a**4 - 4*a**3 + 20*a**2 = 0. Calculate a.
-2, 0, 2, 5
Factor s**4/4 - 7*s**3/4 - 5*s**2/2 + 4*s.
s*(s - 8)*(s - 1)*(s + 2)/4
Factor -2*x**2 + 22*x - 20.
-2*(x - 10)*(x - 1)
Factor -5*p**2 + 40*p - 80.
-5*(p - 4)**2
Find q, given that 3*q**3 - 3204*q**2 + 1140624*q - 135354048 = 0.
356
Let g**4/5 + 19*g**3/5 - 43*g**2/5 - 19*g/5 + 42/5 = 0. What is g?
-21, -1, 1, 2
Let 2*m**2/11 + 10*m/11 + 8/11 = 0. What is m?
-4, -1
Determine w, given that -2*w**5 + 288*w**4 - 11196*w**3 + 59624*w**2 - 86802*w + 38088 = 0.
1, 4, 69
Factor 3*f**5 - 12*f**3 - 6*f**2 + 9*f + 6.
3*(f - 2)*(f - 1)*(f + 1)**3
Factor -35*t**2/6 + 45*t/2 + 100/3.
-5*(t - 5)*(7*t + 8)/6
Solve -2*v**3/11 - 14868*v**2/11 - 36842904*v/11 - 30432238704/11 = 0.
-2478
What is v in v**3/2 + 5*v**2 - 11*v/2 = 0?
-11, 0, 1
Factor 2*p**2 - 106*p - 336.
2*(p - 56)*(p + 3)
Let -u**2/6 - u + 7/6 = 0. What is u?
-7, 1
Factor 3*s**3 - 228*s**2 - 723*s + 948.
3*(s - 79)*(s - 1)*(s + 4)
Factor 5*a**3 + 145*a**2 + 1395*a + 4455.
5*(a + 9)**2*(a + 11)
Find f, given that 2*f**4/5 + 26*f**3/5 - 136*f**2/5 = 0.
-17, 0, 4
What is d in d**3/4 + 9*d**2/4 + 7*d/2 - 6 = 0?
-6, -4, 1
Suppose -m**3/10 + 11*m**2/5 + 23*m/10 = 0. Calculate m.
-1, 0, 23
Factor -3*g**2 + 213*g + 216.
-3*(g - 72)*(g + 1)
Suppose 48*k**2/19 - 542*k/19 + 154/19 = 0. What is k?
7/24, 11
Find t, given that 3*t**4 - 150*t**3 + 948*t**2 - 1962*t + 1161 = 0.
1, 3, 43
Factor m**3 + 16*m**2 + 15*m.
m*(m + 1)*(m + 15)
Solve -2*i**5 + 34*i**4 + 540*i**3 + 500*i**2 - 12250*i - 33750 = 0 for i.
-5, 5, 27
Factor y**3 + 3*y**2 - 4.
(y - 1)*(y + 2)**2
Suppose -452*v**3 + 888*v**2 - 420*v - 16 = 0. What is v?
-4/113, 1
Suppose -p**3 - 63*p**2 - 648*p + 11664 = 0. What is p?
-36, 9
Factor -3*f**3 - 48*f**2 + 105*f - 54.
-3*(f - 1)**2*(f + 18)
Solve 12*a**3 - 471*a**2 - 1395*a + 378 = 0.
-3, 1/4, 42
Find z, given that -4*z**3 + 520*z**2 + 16*z - 2080 = 0.
-2, 2, 130
Factor 16*h**4 + 400*h**3 + 3652*h**2 + 14400*h + 20736.
4*(h + 8)**2*(2*h + 9)**2
Factor -w**4/3 + 10*w**3/3 - 8*w**2 - 32*w/3 + 128/3.
-(w - 4)**3*(w + 2)/3
Factor -25*d**5 - 70*d**4 - 65*d**3 - 20*d**2.
-5*d**2*(d + 1)**2*(5*d + 4)
Factor 4*k**2/9 - 32384*k/9 + 65545216/9.
4*(k - 4048)**2/9
Factor -2*i**3/13 - 18*i**2/13 - 48*i/13 - 40/13.
-2*(i + 2)**2*(i + 5)/13
Factor -3*t**4 + 72*t**3 - 354*t**2 - 936*t - 507.
-3*(t - 13)**2*(t + 1)**2
Suppose -3*r**5 + 195*r**4 - 927*r**3 + 1641*r**2 - 1266*r + 360 = 0. What is r?
1, 2, 60
Factor -3*r**2/7 + 21*r.
-3*r*(r - 49)/7
Factor -3*t**3/4 + 723*t**2/4 - 10614*t - 33489.
-3*(t - 122)**2*(t + 3)/4
Factor -3*u**5/7 + 75*u**4/7 - 207*u**3/7 + 201*u**2/7 - 66*u/7.
-3*u*(u - 22)*(u - 1)**3/7
Factor -2*g**3 - 28*g**2 - 128*g - 192.
-2*(g + 4)**2*(g + 6)
