 5*m**3/4 - 165*m**2/4.
5*m**2*(m - 33)/4
Factor 5*c**3/3 + 1205*c**2 + 290405*c + 69987605/3.
5*(c + 241)**3/3
Factor h**3/6 - 3*h**2/2 - 85*h/6 - 25/2.
(h - 15)*(h + 1)*(h + 5)/6
Factor 4*m**5/5 - 9*m**4/5 + 2*m**3/5 + 8*m**2/5 - 6*m/5 + 1/5.
(m - 1)**3*(m + 1)*(4*m - 1)/5
Factor 2*t**2 + 440*t + 2568.
2*(t + 6)*(t + 214)
Determine q so that 3*q**5 + 16*q**4 + 2*q**3 - 16*q**2 - 5*q = 0.
-5, -1, -1/3, 0, 1
Solve -4*w**2/3 - 340*w/3 + 352 = 0.
-88, 3
Let 5*g**2/2 - 719*g/2 - 72 = 0. Calculate g.
-1/5, 144
Factor -3*q**2 - 6*q + 45.
-3*(q - 3)*(q + 5)
Suppose 37*d**2/2 + 39*d/2 + 1 = 0. What is d?
-1, -2/37
Solve -2*h**4 + 20*h**3 + 2*h**2 - 20*h = 0.
-1, 0, 1, 10
Determine a so that 9*a**5 - 930*a**4 + 23691*a**3 + 18414*a**2 - 57408*a + 16224 = 0.
-2, 1/3, 1, 52
Solve -8*n**5 - 48*n**4 - 106*n**3 - 106*n**2 - 48*n - 8 = 0 for n.
-2, -1, -1/2
Solve o**5 - 12*o**4 + 43*o**3 - 60*o**2 + 28*o = 0 for o.
0, 1, 2, 7
Factor -3*w**3 - 24*w**2 + 1092*w + 11760.
-3*(w - 20)*(w + 14)**2
Factor 225*q**4 + 231*q**3 - 444*q**2 - 12*q.
3*q*(q - 1)*(q + 2)*(75*q + 2)
Find j, given that 3*j**4 + 18*j**3 + 36*j**2 + 30*j + 9 = 0.
-3, -1
Suppose -3*q**2 - 165*q - 1998 = 0. What is q?
-37, -18
Solve -m**2/8 + 57*m/4 + 1107/8 = 0.
-9, 123
Solve -2*r**4 - 68*r**3 + 142*r**2 - 72*r = 0.
-36, 0, 1
Suppose 8*g**2 + 36*g + 16 = 0. Calculate g.
-4, -1/2
Determine i so that -5*i**4 + 70*i**3 - 175*i**2 + 110*i = 0.
0, 1, 2, 11
Find i such that 4*i**3 - 136*i**2 + 596*i - 464 = 0.
1, 4, 29
Suppose -d**2 - 4*d - 3 = 0. Calculate d.
-3, -1
Let -3*s**2 - 102*s - 99 = 0. What is s?
-33, -1
Find u such that -3*u**5 - 78*u**4 - 477*u**3 - 786*u**2 + 480*u + 864 = 0.
-18, -4, -1, 1
Factor 4*o**2 - 228*o + 1568.
4*(o - 49)*(o - 8)
Solve 8*o**5 - 68*o**4 - 1888*o**3 + 960*o**2 = 0 for o.
-12, 0, 1/2, 20
What is t in -t**2/4 + 17*t/2 + 111/4 = 0?
-3, 37
Factor q**2/4 + 2073*q/2 + 4297329/4.
(q + 2073)**2/4
Find n, given that -2*n**5/21 + 50*n**4/7 - 1410*n**3/7 + 2610*n**2 - 15120*n + 31752 = 0.
6, 21
Suppose -2*z**4 - 82*z**3 - 154*z**2 + 82*z + 156 = 0. What is z?
-39, -2, -1, 1
Factor -2*c**4/13 + 12*c**3/13 - 2*c**2/13 - 48*c/13 - 32/13.
-2*(c - 4)**2*(c + 1)**2/13
Factor 12*q**2/5 + 93*q/5 + 171/5.
3*(q + 3)*(4*q + 19)/5
Factor 4*s**3 + 92*s**2 + 480*s - 576.
4*(s - 1)*(s + 12)**2
Find f such that 6*f**3 + 154*f**2 + 784*f + 456 = 0.
-19, -6, -2/3
Factor 2*a**5 + 20*a**4 + 78*a**3 + 148*a**2 + 136*a + 48.
2*(a + 1)*(a + 2)**3*(a + 3)
Determine p so that p**2 - 560*p + 78400 = 0.
280
Factor -2*m**2/7 + 4*m - 26/7.
-2*(m - 13)*(m - 1)/7
Factor -3*i**3 - 2793*i**2 - 651465*i - 648675.
-3*(i + 1)*(i + 465)**2
Solve -12*z**4 + 32*z**3 + 84*z**2 - 72*z - 32 = 0.
-2, -1/3, 1, 4
Solve 4*c**3/9 + 88*c**2 + 5808*c + 127776 = 0.
-66
Solve -2*w**5 + 28*w**4 + 66*w**3 - 28*w**2 - 64*w = 0.
-2, -1, 0, 1, 16
Solve -3*p**5 - 75*p**4 - 489*p**3 - 81*p**2 + 1944*p - 1296 = 0 for p.
-12, -3, 1
Solve d**2/3 + 11*d/3 + 8 = 0 for d.
-8, -3
Factor -4*q**5 + 4*q**4 + 160*q**3 - 448*q**2.
-4*q**2*(q - 4)**2*(q + 7)
Factor -3*o**2/4 - 219*o/4 - 603/2.
-3*(o + 6)*(o + 67)/4
Factor -2*f**2/5 + 3408*f/5 - 1451808/5.
-2*(f - 852)**2/5
Factor -2*m**2/15 - 16*m/15 + 32.
-2*(m - 12)*(m + 20)/15
Solve -3*t**5/4 + 15*t**4/2 - 99*t**3/4 + 24*t**2 + 21*t - 36 = 0 for t.
-1, 2, 3, 4
Factor -5*w**3 - 615*w**2 - 14280*w + 300560.
-5*(w - 13)*(w + 68)**2
Factor -3*x**2 - 3*x.
-3*x*(x + 1)
Let -4*d**3 + 64*d**2 + 6604*d - 6664 = 0. Calculate d.
-34, 1, 49
Let -2*q**4/3 + 854*q**3 - 2558*q**2 + 7670*q/3 - 852 = 0. Calculate q.
1, 1278
Factor 2*x**2/5 + 226*x/5 + 216.
2*(x + 5)*(x + 108)/5
Let -3*q**5 - 24*q**4 - 57*q**3 - 24*q**2 + 60*q + 48 = 0. What is q?
-4, -2, -1, 1
Factor d**2/4 + 95*d/4 + 154.
(d + 7)*(d + 88)/4
Factor b**2/9 - 250*b/9 + 247/3.
(b - 247)*(b - 3)/9
Factor 3*z**4 - 96*z**3 + 858*z**2 - 1440*z + 675.
3*(z - 15)**2*(z - 1)**2
Let -4*m**2 + 428*m + 3192 = 0. What is m?
-7, 114
Factor 2*i**2/19 + 410*i/19 + 408/19.
2*(i + 1)*(i + 204)/19
Factor -3*g**3/5 + 6*g**2 - 51*g/5 - 84/5.
-3*(g - 7)*(g - 4)*(g + 1)/5
Find o such that -2*o**3/9 - 2*o**2/3 + 4*o/3 + 16/9 = 0.
-4, -1, 2
Solve 2*v**2/23 + 4*v/23 - 16/23 = 0.
-4, 2
Solve -2*w**4 + 52*w**3 - 334*w**2 + 476*w = 0.
0, 2, 7, 17
Suppose -35*f**2/3 + 337*f/3 + 292/3 = 0. What is f?
-4/5, 73/7
Factor 3*d**2 + 1695*d.
3*d*(d + 565)
Find h, given that 2*h**5/7 - 14*h**3 - 256*h**2/7 + 96*h/7 + 256/7 = 0.
-4, -1, 1, 8
Suppose 5*p**3 + 2755*p**2 - 5*p - 2755 = 0. What is p?
-551, -1, 1
Suppose 4*q**4 + 188*q**3 + 700*q**2 + 516*q = 0. What is q?
-43, -3, -1, 0
Factor -y**2/2 - 2713*y - 7360369/2.
-(y + 2713)**2/2
Suppose 2*v**4/3 - 62*v**3/3 - 68*v**2 - 8*v/3 + 272/3 = 0. Calculate v.
-2, 1, 34
Factor -o**3 - 47*o**2 - 527*o + 575.
-(o - 1)*(o + 23)*(o + 25)
Factor d**3/5 + 19*d**2/5 + 74*d/5 + 56/5.
(d + 1)*(d + 4)*(d + 14)/5
Factor 3*r**4 + 177*r**3 + 2856*r**2 + 7056*r.
3*r*(r + 3)*(r + 28)**2
Factor 5*q**4 + 25*q**3 - 280*q**2 - 300*q.
5*q*(q - 6)*(q + 1)*(q + 10)
Factor 4*l**4 + 21*l**3 + 21*l**2 + 4*l.
l*(l + 1)*(l + 4)*(4*l + 1)
Factor -u**3/3 - 2*u**2/3 + 31*u/3 - 28/3.
-(u - 4)*(u - 1)*(u + 7)/3
Suppose z**3/11 - 89*z**2/11 + 175*z/11 - 87/11 = 0. Calculate z.
1, 87
Solve j**5/4 + 15*j**4/4 + 63*j**3/4 + 41*j**2/4 - 30*j = 0 for j.
-8, -5, -3, 0, 1
Determine u, given that u**3/5 + 45*u**2 + 3375*u + 84375 = 0.
-75
Solve -3*m**2 - 2037*m + 4086 = 0.
-681, 2
What is q in 10*q**5/11 + 636*q**4/11 + 1594*q**3/11 + 480*q**2/11 - 488*q/11 = 0?
-61, -2, -1, 0, 2/5
Factor 4*s**4 + 120*s**3 - 524*s**2 + 672*s - 272.
4*(s - 2)*(s - 1)**2*(s + 34)
Find v such that -v**3 - 11*v**2 - 4*v + 60 = 0.
-10, -3, 2
Factor 14*m**2/15 + 38*m/3 - 28/5.
2*(m + 14)*(7*m - 3)/15
Factor 6*w**3 - 21*w**2/2 - 135*w/2 + 54.
3*(w - 4)*(w + 3)*(4*w - 3)/2
Factor 2*k**2 - 5192*k + 3369608.
2*(k - 1298)**2
Find v such that -2*v**3 + 14*v**2 + 28*v - 96 = 0.
-3, 2, 8
Suppose -3*y**5/2 - 60*y**4 - 114*y**3 = 0. What is y?
-38, -2, 0
Find p such that 2*p**3/15 - 34*p**2/5 - 14*p - 106/15 = 0.
-1, 53
Let -3*a**2 + 408*a + 7296 = 0. What is a?
-16, 152
Determine d so that 2*d**4 + 2*d**3 - 6*d**2 - 2*d + 4 = 0.
-2, -1, 1
Solve 14*n**4/11 + 8*n**3/11 - 34*n**2/11 + 12*n/11 = 0.
-2, 0, 3/7, 1
Factor 19*c**3/2 + 58*c**2/3 + 61*c/6 + 1/3.
(c + 1)**2*(57*c + 2)/6
Factor -j**2/2 + 7*j - 20.
-(j - 10)*(j - 4)/2
Factor 2*o**2/3 + 98*o + 1144/3.
2*(o + 4)*(o + 143)/3
Factor 14*t**2/3 + 8086*t - 6932/3.
2*(t + 1733)*(7*t - 2)/3
What is v in -v**2 + 271*v = 0?
0, 271
Factor l**2 - 467*l + 466.
(l - 466)*(l - 1)
Factor 5*z**3 + 65*z**2.
5*z**2*(z + 13)
Find i, given that -2*i**5/11 + 30*i**4/11 - 162*i**3/11 + 370*i**2/11 - 300*i/11 = 0.
0, 2, 3, 5
Determine h, given that h**5/5 + 12*h**4/5 - 22*h**3/5 - 48*h**2 + 333*h/5 + 108 = 0.
-12, -5, -1, 3
Factor 2*b**4/5 + 4*b**3/5 - 2*b**2 - 12*b/5.
2*b*(b - 2)*(b + 1)*(b + 3)/5
What is f in -f**5/2 - 24*f**4 - 477*f**3/2 + 551*f**2 - 288*f = 0?
-32, -18, 0, 1
Solve 2*u**3/7 - 26*u/7 - 24/7 = 0 for u.
-3, -1, 4
Solve -3*p**2/7 - 3600*p/7 - 1080000/7 = 0 for p.
-600
Determine r, given that -2*r**2 - 230*r + 232 = 0.
-116, 1
Factor -15*d**3 + 20*d**2 + 20*d.
-5*d*(d - 2)*(3*d + 2)
Factor 5*t**3 + 265*t**2 + 515*t + 255.
5*(t + 1)**2*(t + 51)
Factor -25*x**3 - 3940*x**2 - 154445*x + 62410.
-5*(x + 79)**2*(5*x - 2)
Find w, given that -w**2 - 1134*w - 321489 = 0.
-567
Factor -2*s**3/7 + 442*s**2/7 - 440*s/7.
-2*s*(s - 220)*(s - 1)/7
Factor -3*y**5 + 423*y**4 - 14265*y**3 - 45363*y**2 - 46224*y - 15552.
-3*(y - 72)**2*(y + 1)**3
Determine w, given that 15*w**4 + 785*w**3 + 9595*w**2 - 17685*w + 7290 = 0.
-27, 2/3, 1
Let -3*v**2 + 735*v - 732 = 0. What is v?
1, 244
Factor -i**3/4 + 7*i**2 - 189*i/4 + 171/2.
-(i - 19)*(i - 6)*(i - 3)/4
Determine l so that 45*l**5 + 3050*l**4 + 5305*l**3 + 1640*l**2 - 660*l = 0.
-66, -1, 0, 2/9
Let -3*h**4/7 + 3*h**3/7 + 39*h**2/7 - 75*h/7 + 36/7 = 0. Calculate h.
-4, 1, 3
Factor -3*c**4 + 129*c**3 + 3*c**2 - 129*c.
-3*c*(c - 43)*(c - 1)*(c + 1)
Determine s so that s**3 + 199*s**2 + 9999*s + 9801 = 0.
-99, -1
Factor 2*f**3/9 + 274*f**2/9 + 530*f/3 + 262.
2*(f + 3)**2*(f + 131)/9
Suppose -4*u**3 + 8*u**2 + 4*u - 8 = 0. Calculate u.
-1, 1, 2
Suppose -4*l**4 + 8*l**3 + 12*l**2 - 16*l - 16 = 0. What is l?
-1, 2
Factor 3*v**5/7 - 