2*j**3 - 64*j**2 - 120*j = 0. What is j?
-5, -3, -2, 0, 2
Factor -3*i**4 + 36*i**3 - 153*i**2 + 264*i - 144.
-3*(i - 4)**2*(i - 3)*(i - 1)
Suppose -4*o**3 + 12*o**2 - 8*o = 0. Calculate o.
0, 1, 2
Factor 5*m**3/4 - 55*m**2/2 + 95*m/4 + 105/2.
5*(m - 21)*(m - 2)*(m + 1)/4
Determine b, given that b**5 - 3*b**4 + b**3 + 3*b**2 - 2*b = 0.
-1, 0, 1, 2
Solve -n**5/4 - 27*n**4/4 - 115*n**3/4 - 105*n**2/4 + 29*n + 33 = 0 for n.
-22, -3, -2, -1, 1
What is y in -3*y**5 + 6*y**4 + 66*y**3 + 48*y**2 - 63*y - 54 = 0?
-3, -1, 1, 6
Factor -3*p**4 - 12*p**3 + 36*p**2 + 96*p - 192.
-3*(p - 2)**2*(p + 4)**2
Determine t, given that t**2/2 + 23*t/2 + 11 = 0.
-22, -1
Determine q, given that 3*q**2 - 13410*q + 14985675 = 0.
2235
Let -3*h**3/4 - 45*h**2/2 = 0. What is h?
-30, 0
Factor s**3 + 1833*s**2 + 3663*s + 1831.
(s + 1)**2*(s + 1831)
Suppose 2*k**5/7 + 44*k**4/7 + 80*k**3/7 = 0. What is k?
-20, -2, 0
Find c, given that 22*c**2 - 170*c/3 - 64/3 = 0.
-1/3, 32/11
What is y in 3*y**5 + 129*y**4 + 1569*y**3 + 3963*y**2 + 3720*y + 1200 = 0?
-20, -1
Let 2*k**3 - 110*k**2 + 1200*k + 9000 = 0. What is k?
-5, 30
Solve -z**3/7 - 844*z**2/7 + 1691*z/7 - 846/7 = 0 for z.
-846, 1
Suppose -5*c**4 + 21*c**3 + c**2 - 21*c + 4 = 0. Calculate c.
-1, 1/5, 1, 4
Suppose -t**2 - 340*t - 1344 = 0. What is t?
-336, -4
Factor 2*i**4/7 + 88*i**3/7 + 876*i**2/7 - 2024*i/7 + 1058/7.
2*(i - 1)**2*(i + 23)**2/7
Factor 2*j**3/13 - 8*j**2/13 - 8*j/13 + 32/13.
2*(j - 4)*(j - 2)*(j + 2)/13
Factor -a**4 - 6*a**3 - 8*a**2.
-a**2*(a + 2)*(a + 4)
Solve -2*s**2 - 92*s + 94 = 0 for s.
-47, 1
Factor y**2 + 335*y.
y*(y + 335)
Suppose -5*s**3 - 80*s**2 - 65*s + 150 = 0. Calculate s.
-15, -2, 1
Determine c, given that -c**2 + 18*c - 56 = 0.
4, 14
Solve o**4/6 - o**3 - 5*o**2/2 - 4*o/3 = 0.
-1, 0, 8
Factor 5*k**4 - 75*k**3 - 5*k**2 + 75*k.
5*k*(k - 15)*(k - 1)*(k + 1)
Let 5*o**4 - 50*o**3 - 125*o**2 + 50*o + 120 = 0. What is o?
-2, -1, 1, 12
Determine z, given that 2*z**4/5 + 234*z**3/5 + 5094*z**2/5 - 21346*z + 20280 = 0.
-65, 1, 12
Factor -2*g**2 - 32*g + 72.
-2*(g - 2)*(g + 18)
Determine o so that -o**2 + 127*o + 128 = 0.
-1, 128
Factor 2*n**4/3 + 138*n**3 + 544*n**2 + 1624*n/3.
2*n*(n + 2)**2*(n + 203)/3
Factor 6*k**4/11 - 12*k**3/11 + 6*k**2/11.
6*k**2*(k - 1)**2/11
Find h, given that -3*h**2 + 99*h - 96 = 0.
1, 32
Determine b so that 4*b**2/7 + 25272*b/7 + 39917124/7 = 0.
-3159
Factor -5*s**2/3 + 1900*s/3 - 1260.
-5*(s - 378)*(s - 2)/3
Factor -5*v**4/2 - 5*v**3/2 + 25*v**2 - 20*v.
-5*v*(v - 2)*(v - 1)*(v + 4)/2
Find x, given that 8*x**3/5 - 20*x**2 - 164*x/5 - 56/5 = 0.
-1, -1/2, 14
Let 2*t**5 + 35*t**4/2 + 47*t**3/2 - 7*t**2 = 0. What is t?
-7, -2, 0, 1/4
Determine d so that 3*d**3 - 24*d**2 - 228*d - 336 = 0.
-4, -2, 14
Factor x**5/5 - 2*x**3/5 + x/5.
x*(x - 1)**2*(x + 1)**2/5
Factor -4*d**2 - 72*d - 68.
-4*(d + 1)*(d + 17)
Factor -4*n**4 + 56*n**3 - 52*n**2.
-4*n**2*(n - 13)*(n - 1)
Determine k, given that -2*k**4/15 + 12938*k**3/15 - 6976816*k**2/5 + 6972504*k/5 = 0.
0, 1, 3234
Factor 2*o**3/7 - 178*o**2/7 - 136*o + 1128/7.
2*(o - 94)*(o - 1)*(o + 6)/7
Factor 3*q**2 + 28872*q + 69466032.
3*(q + 4812)**2
Factor -l**2/3 + 3032*l/3 - 2298256/3.
-(l - 1516)**2/3
Factor -3*y**4 - 72*y**3 - 198*y**2 - 192*y - 63.
-3*(y + 1)**3*(y + 21)
Factor 4*v**3/13 + 2310*v**2/13 + 332928*v/13 - 167042/13.
2*(v + 289)**2*(2*v - 1)/13
Determine j so that j**2 + 12*j - 540 = 0.
-30, 18
Suppose -3*d**4/8 + 93*d**3/8 + 27*d**2/2 - 93*d/2 - 48 = 0. Calculate d.
-2, -1, 2, 32
Factor y**4/3 + y**3/3 - 25*y**2/3 - 25*y/3.
y*(y - 5)*(y + 1)*(y + 5)/3
Factor o**4/2 - 17*o**3/2 - 3*o**2/2 + 53*o/2 - 17.
(o - 17)*(o - 1)**2*(o + 2)/2
Factor -2*q**3 + 72*q**2 - 198*q.
-2*q*(q - 33)*(q - 3)
Find n such that 3*n**4 - 12*n**3 + 15*n**2 - 6*n = 0.
0, 1, 2
Suppose -64*q**5 - 1888*q**4 - 4452*q**3 - 3604*q**2 - 1084*q - 108 = 0. Calculate q.
-27, -1, -1/4
Find a, given that -a**3/6 - 10*a**2 - 39*a/2 - 29/3 = 0.
-58, -1
Factor -s**3/4 + 48*s**2 + s/4 - 48.
-(s - 192)*(s - 1)*(s + 1)/4
Factor 2*u**4 - 548*u**3.
2*u**3*(u - 274)
Factor y**3 - 28*y**2 + 165*y + 450.
(y - 15)**2*(y + 2)
Factor f**4/6 - 2*f**3/3 + 8*f/3 - 8/3.
(f - 2)**3*(f + 2)/6
Factor -5*r**5 + 2940*r**4 - 435110*r**3 + 861420*r**2 - 429245*r.
-5*r*(r - 293)**2*(r - 1)**2
Factor -o**3/2 + 29*o**2/2 + o/2 - 29/2.
-(o - 29)*(o - 1)*(o + 1)/2
Factor -5*t**3 + 30*t**2 - 55*t + 30.
-5*(t - 3)*(t - 2)*(t - 1)
Suppose f**4/5 - 9*f**3/5 + 29*f**2/5 - 39*f/5 + 18/5 = 0. What is f?
1, 2, 3
What is h in 3*h**3 - 24*h**2 + 39*h - 18 = 0?
1, 6
What is c in -2*c**5/3 + 10*c**4/3 + 184*c**3/3 + 376*c**2/3 - 704*c/3 - 1664/3 = 0?
-4, -2, 2, 13
Suppose -3*h**3 - 45*h**2 - 78*h = 0. Calculate h.
-13, -2, 0
Factor -l**5 + 15*l**4 - 62*l**3 + 34*l**2 + 63*l - 49.
-(l - 7)**2*(l - 1)**2*(l + 1)
Factor -3*n**4 - 903*n**3 + 2727*n**2 - 2733*n + 912.
-3*(n - 1)**3*(n + 304)
Suppose -21*j**3 + 207*j**2 = 0. What is j?
0, 69/7
Suppose -2*a**4/19 + 400*a**3/19 - 20000*a**2/19 = 0. Calculate a.
0, 100
Find f such that 3*f**3/7 - 30*f**2/7 - 264*f/7 - 384/7 = 0.
-4, -2, 16
Suppose w**4/4 + 42*w**3 + 1764*w**2 = 0. What is w?
-84, 0
Suppose -14*a**2 + 2804*a - 800 = 0. Calculate a.
2/7, 200
Suppose 3*v**2 - 183*v + 354 = 0. What is v?
2, 59
Factor -s**3/3 + 155*s**2 - 309*s + 463/3.
-(s - 463)*(s - 1)**2/3
Let -22*b**3/15 + 392*b**2/15 + 24*b/5 = 0. Calculate b.
-2/11, 0, 18
Factor -v**2 + 20*v + 44.
-(v - 22)*(v + 2)
Find x, given that 3*x**2 + 1482*x = 0.
-494, 0
Solve -k**4/7 + 3*k**3 - 43*k**2/7 - 741*k/7 - 676/7 = 0 for k.
-4, -1, 13
Factor -4*j**2 + 308*j + 312.
-4*(j - 78)*(j + 1)
Factor 2*c**3/11 - 520*c**2/11 - 1054*c/11 + 1572/11.
2*(c - 262)*(c - 1)*(c + 3)/11
Factor r**2/3 + 248*r + 46128.
(r + 372)**2/3
Solve 4*x**5 - 36*x**4 - 60*x**3 + 580*x**2 + 1176*x + 576 = 0.
-3, -1, 6, 8
Factor -36*q**3 + 136*q**2 - 112*q - 32.
-4*(q - 2)**2*(9*q + 2)
Determine y so that -5*y**4 + 25*y**3 - 30*y**2 - 20*y + 40 = 0.
-1, 2
Let -2*d**2 + 3876*d - 1877922 = 0. Calculate d.
969
Find z such that z**3/3 + 539*z**2/3 + 73432*z/3 + 71824 = 0.
-268, -3
Determine u so that 2*u**2/3 + 8*u + 22/3 = 0.
-11, -1
Factor 2*n**4/5 + 4*n**3/5 - 6*n**2/5 - 16*n/5 - 8/5.
2*(n - 2)*(n + 1)**2*(n + 2)/5
Let -4*n**5 - 12*n**4 + 64*n**3 - 48*n**2 = 0. What is n?
-6, 0, 1, 2
Determine d so that 5*d**2 + 5385*d + 5380 = 0.
-1076, -1
Let -2*t**3 + 384*t**2 - 24576*t + 524288 = 0. Calculate t.
64
Find j, given that -2*j**5/3 + 202*j**4 - 1804*j**3/3 + 400*j**2 = 0.
0, 1, 2, 300
Factor 2*k**4/9 - 4*k**3/9 - 62*k**2/9 - 56*k/9.
2*k*(k - 7)*(k + 1)*(k + 4)/9
Solve 3*a**5 - 33*a**4 + 135*a**3 - 243*a**2 + 162*a = 0.
0, 2, 3
Factor -2*p**3/15 + 448*p**2/15 - 1702*p + 16428/5.
-2*(p - 111)**2*(p - 2)/15
Determine h so that 2*h**2/23 + 446*h/23 + 444/23 = 0.
-222, -1
Determine m so that 196*m**5 - 5404*m**4 - 119264*m**3 - 469936*m**2 + 298240*m - 44032 = 0.
-8, 2/7, 43
Factor k**4 - 9*k**3 - 62*k**2 - 108*k - 56.
(k - 14)*(k + 1)*(k + 2)**2
Factor 4*y**2 + 376*y + 8836.
4*(y + 47)**2
Solve -j**4 - 242*j**3 - 957*j**2 - 1192*j - 476 = 0 for j.
-238, -2, -1
Factor 6*k**3 + 5*k**2 - 121*k + 20.
(k - 4)*(k + 5)*(6*k - 1)
Let 2*l**4/3 + 4*l**3/3 - 10*l**2/3 - 4*l = 0. What is l?
-3, -1, 0, 2
Factor 9*q**2 + 83*q + 18.
(q + 9)*(9*q + 2)
Suppose -y**3 - 32*y**2 - 221*y + 578 = 0. Calculate y.
-17, 2
Factor 5*m**4 - 255*m**3 + 4335*m**2 - 24565*m.
5*m*(m - 17)**3
Factor 4*b**3 - 112*b**2 - 2188*b + 2296.
4*(b - 41)*(b - 1)*(b + 14)
Solve 3*k**2 - 603*k - 1218 = 0 for k.
-2, 203
Suppose s**2/3 - 4*s + 20/3 = 0. What is s?
2, 10
Solve l**3/9 - 8*l**2 - 208*l/3 - 1280/9 = 0.
-4, 80
Factor 4*y**3/3 - 40*y**2/3 + 44*y - 48.
4*(y - 4)*(y - 3)**2/3
Factor -h**4 - 48*h**3 - 576*h**2.
-h**2*(h + 24)**2
Factor d**3 + 194*d**2 + 9409*d.
d*(d + 97)**2
Factor 5*x**3 - 100*x**2 - 105*x.
5*x*(x - 21)*(x + 1)
Solve 3*q**4 - 228*q**3 - 465*q**2 - 234*q = 0.
-1, 0, 78
Let 3*s**3/2 - 237*s**2/2 - 1503*s/2 - 2295/2 = 0. What is s?
-3, 85
Find h, given that 3*h**5 + 54*h**4 - 117*h**3 - 4056*h**2 = 0.
-13, 0, 8
Let -d**4/8 + 25*d**3/8 - 203*d**2/8 + 539*d/8 = 0. Calculate d.
0, 7, 11
Determine s so that 5*s**3 + 375*s**2 + 8160*s + 40460 = 0.
-34, -7
Factor -2*f**5 + 24*f**4 - 64*f**3 - 140*f**2 + 450*f + 500.
-2*(f - 5)**3*(f + 1)*(f + 2)
Factor 8*g**