p**2/8 + 27261*p + 54289/2.
(p + 1)*(p + 466)**2/8
Factor -5*y**5 + 10*y**3 - 5*y.
-5*y*(y - 1)**2*(y + 1)**2
Find a such that -3*a**2/2 - 6*a + 15/2 = 0.
-5, 1
Factor 3*v**4 - 18*v**2 - 24*v - 9.
3*(v - 3)*(v + 1)**3
Find g, given that 4*g**3 - 28*g**2 - 20*g + 300 = 0.
-3, 5
Factor -2*j**5 + 12*j**4 - 24*j**3 + 20*j**2 - 6*j.
-2*j*(j - 3)*(j - 1)**3
Factor 3*h**2/7 - 6*h/7 + 3/7.
3*(h - 1)**2/7
Find a, given that a**4/4 + 7*a**3/4 - 20*a**2 - 144*a = 0.
-8, 0, 9
Determine r, given that -3*r**4 + 2067*r**3 - 357066*r**2 + 350880*r + 710016 = 0.
-1, 2, 344
Factor -3*y**3 + 18*y**2 + 189*y + 324.
-3*(y - 12)*(y + 3)**2
Let 5*g**4/4 + 415*g**3/2 + 38265*g**2/4 + 77805*g + 68445 = 0. Calculate g.
-78, -9, -1
Factor 3*j**3 - 51*j**2 + 120*j + 900.
3*(j - 10)**2*(j + 3)
What is w in 2*w**2/7 - 408*w/7 + 20808/7 = 0?
102
Factor 2*u**2/5 - 26*u/5 - 228/5.
2*(u - 19)*(u + 6)/5
Factor -2*o**4/3 - 256*o**3/3 - 254*o**2/3.
-2*o**2*(o + 1)*(o + 127)/3
Determine f, given that 3*f**4 + 30*f**3 - 3*f**2 - 30*f = 0.
-10, -1, 0, 1
Solve -35*h**4 - 165*h**3 - 160*h**2 + 60*h = 0.
-3, -2, 0, 2/7
Determine u so that 3*u**3 - 237*u**2 + 1914*u - 1680 = 0.
1, 8, 70
Let 5*m**3 - 6795*m**2 + 2325495*m - 11458225 = 0. Calculate m.
5, 677
Factor t**2/3 - 13*t/3 + 40/3.
(t - 8)*(t - 5)/3
Factor -3*u**2/2 - 93*u/2 + 210.
-3*(u - 4)*(u + 35)/2
What is c in 20*c**3 + 47*c**2 - 37*c + 6 = 0?
-3, 1/4, 2/5
Factor -p**2/2 - p/2 + 435.
-(p - 29)*(p + 30)/2
Factor 2*f**3/5 + 52*f**2/5 - 130*f - 140.
2*(f - 10)*(f + 1)*(f + 35)/5
Factor 2*z**5 + 52*z**4 + 338*z**3.
2*z**3*(z + 13)**2
Factor 5*y**2 - 140*y + 480.
5*(y - 24)*(y - 4)
Factor 4*p**5 + 60*p**4 - 132*p**3 + 68*p**2.
4*p**2*(p - 1)**2*(p + 17)
Solve 2*u**2/9 - 400*u/9 + 398/9 = 0.
1, 199
Factor 5*p**2 - 1070*p + 5225.
5*(p - 209)*(p - 5)
Find d such that -d**4/5 + 28*d**3/5 - 276*d**2/5 + 224*d - 320 = 0.
4, 10
Factor -q**4/4 + q**3/2 + q**2/4 - q/2.
-q*(q - 2)*(q - 1)*(q + 1)/4
Solve -15*l**4 + 24*l**3 + 3372*l**2 + 1344*l = 0.
-14, -2/5, 0, 16
Find b such that 3*b**4 - 4*b**3 + b**2 = 0.
0, 1/3, 1
Suppose -16*x**5/5 + 24*x**4/5 + 151*x**3/5 - 76*x**2/5 - 429*x/5 - 242/5 = 0. What is x?
-2, -1, 11/4
Find t, given that -9*t**4/2 - 39*t**3 + 33*t**2/2 + 27*t = 0.
-9, -2/3, 0, 1
Factor -4*m**4 + 12*m**3 - 4*m**2 - 12*m + 8.
-4*(m - 2)*(m - 1)**2*(m + 1)
Factor 2*m**3/19 - 118*m**2/19 - 244*m/19.
2*m*(m - 61)*(m + 2)/19
Factor -3*q**2/4 - 8*q + 651/4.
-(q + 21)*(3*q - 31)/4
What is z in 3*z**2/4 + 4500*z + 6750000 = 0?
-3000
Find j, given that 2*j**5/7 - 8*j**4/7 - 34*j**3/7 + 120*j**2/7 = 0.
-4, 0, 3, 5
Let 5*d**3 - 60*d**2 + 225*d - 270 = 0. What is d?
3, 6
Factor 9*o**3 - 141*o**2 + 475*o + 625.
(o + 1)*(3*o - 25)**2
Determine p, given that -p**2 - 68*p + 69 = 0.
-69, 1
Factor -5*v**2 - 520*v + 525.
-5*(v - 1)*(v + 105)
What is x in x**5 + x**4 - 5*x**3 - 5*x**2 + 4*x + 4 = 0?
-2, -1, 1, 2
Suppose -4*d**2 + 572*d - 1680 = 0. What is d?
3, 140
Let -6*u**3/11 + 2*u**2 + 36*u/11 - 112/11 = 0. What is u?
-7/3, 2, 4
Suppose q**3/2 - 7*q**2/2 - 20*q - 22 = 0. What is q?
-2, 11
Suppose -j**3/4 - 213*j**2/2 - 15123*j - 715822 = 0. What is j?
-142
Let 3*j**2/8 + 81*j/8 - 21/2 = 0. What is j?
-28, 1
Let 3*q**5/8 - 69*q**3/8 - 99*q**2/4 - 51*q/2 - 9 = 0. What is q?
-2, -1, 6
Determine a so that -a**5/3 + 5*a**4/3 + 2*a**3 = 0.
-1, 0, 6
Factor -j**2 + 7*j - 10.
-(j - 5)*(j - 2)
Find j such that 3*j**4/7 + 66*j**3/7 - 393*j**2/7 + 324*j/7 = 0.
-27, 0, 1, 4
Suppose -2*p**4/3 + 38*p**3/5 - 304*p**2/15 + 88*p/5 - 64/15 = 0. What is p?
2/5, 1, 2, 8
Solve -7*a**5/3 + 44*a**4/3 - 61*a**3/3 - 28*a**2/3 + 68*a/3 - 16/3 = 0 for a.
-1, 2/7, 1, 2, 4
Factor 3*w**2/2 + 675*w.
3*w*(w + 450)/2
Factor -2*y**3/3 + 2*y**2 + 8*y/3.
-2*y*(y - 4)*(y + 1)/3
Factor -3*x**3/2 - 3*x**2/2 + 12*x + 18.
-3*(x - 3)*(x + 2)**2/2
Factor 3*k**3/7 + 9*k**2 - 288*k/7 + 300/7.
3*(k - 2)**2*(k + 25)/7
Determine u so that 4*u**3 - 32*u**2 + 84*u - 72 = 0.
2, 3
Let 2*k**3 - 54*k**2 + 408*k - 616 = 0. Calculate k.
2, 11, 14
Factor -2*s**5/7 - 22*s**4/7 - 38*s**3/7 - 18*s**2/7.
-2*s**2*(s + 1)**2*(s + 9)/7
What is w in -w**5 - 17*w**4 - 65*w**3 + 17*w**2 + 66*w = 0?
-11, -6, -1, 0, 1
Factor 2*f**2 + 232*f - 472.
2*(f - 2)*(f + 118)
Solve -2*j**3/15 - 32*j**2/3 + 326*j/15 - 164/15 = 0.
-82, 1
Solve 2*t**2/17 - 1030*t/17 - 2068/17 = 0 for t.
-2, 517
Find c such that -10*c**4 + 96*c**3 - 150*c**2 - 376*c - 120 = 0.
-1, -2/5, 5, 6
Suppose 3*o**4/8 + 123*o**3/8 + 141*o**2/2 + 219*o/2 + 54 = 0. What is o?
-36, -2, -1
Find x such that x**3/6 + 7*x**2/3 + 65*x/6 + 50/3 = 0.
-5, -4
Determine t, given that -2*t**4/11 + 26*t**3/11 + 128*t**2/11 + 136*t/11 = 0.
-2, 0, 17
Find j such that 4*j**3 + 52*j**2 - 884*j + 828 = 0.
-23, 1, 9
Suppose 35*u**5 - 185*u**4 + 225*u**3 + 125*u**2 - 260*u + 60 = 0. Calculate u.
-1, 2/7, 1, 2, 3
Factor -6*s**4 - 8*s**3 + 10*s**2 + 4*s.
-2*s*(s - 1)*(s + 2)*(3*s + 1)
Find d such that -5*d**4/3 - 50*d**3/3 + 340*d**2/3 - 170*d + 75 = 0.
-15, 1, 3
Suppose 2*i**5 + 10*i**4 + 12*i**3 - 8*i**2 - 16*i = 0. Calculate i.
-2, 0, 1
Factor 22*b**4/19 + 74*b**3/19 + 90*b**2/19 + 46*b/19 + 8/19.
2*(b + 1)**3*(11*b + 4)/19
Solve 3*u**2/4 + 2877*u/2 + 2759043/4 = 0.
-959
Factor -4*b**2 + 2428*b + 2432.
-4*(b - 608)*(b + 1)
Let 3*f**5 - 3*f**4 - 3*f**3 + 3*f**2 = 0. What is f?
-1, 0, 1
What is x in -x**2/2 - 17*x/2 + 69 = 0?
-23, 6
Solve 2*t**2/7 - 400*t/7 - 174 = 0.
-3, 203
Factor y**2/3 + 80*y/3 - 83.
(y - 3)*(y + 83)/3
Determine f, given that -f**3 + 11*f**2 - 32*f + 28 = 0.
2, 7
Find s, given that -s**3/2 - 91*s**2/2 + 189*s/2 + 279/2 = 0.
-93, -1, 3
Solve -2*g**5/7 + 2*g**4/7 + 12*g**3/7 = 0 for g.
-2, 0, 3
Let 2*r**2/9 + 34*r - 2240/9 = 0. What is r?
-160, 7
Factor -3*w**4/5 + 258*w**3/5 - 2664*w**2/5.
-3*w**2*(w - 74)*(w - 12)/5
Suppose f**3 - 249*f**2 + 242*f + 1488 = 0. What is f?
-2, 3, 248
Solve 2*b**4/3 - 68*b**3/9 + 2*b**2/3 + 56*b/3 + 88/9 = 0.
-1, -2/3, 2, 11
Find a, given that -2*a**2 - 300*a - 11250 = 0.
-75
Let 2*y**4 - 98*y**3 + 1482*y**2 - 6678*y + 5292 = 0. What is y?
1, 6, 21
Factor -4*k**3 - 4*k**2 + 200*k - 192.
-4*(k - 6)*(k - 1)*(k + 8)
Suppose 2*l**2 + 102*l - 324 = 0. What is l?
-54, 3
Factor k**3/4 - k**2/4 - 2*k + 3.
(k - 2)**2*(k + 3)/4
Solve j**5/6 + 25*j**4/6 - 56*j**3/3 + 58*j**2/3 = 0.
-29, 0, 2
Find b such that -3*b**4 + 19*b**3/3 - 2*b**2/3 = 0.
0, 1/9, 2
Find o, given that 3*o**2 - 267*o + 264 = 0.
1, 88
Factor -2*m**4/9 + 2*m**3 - 16*m**2/9.
-2*m**2*(m - 8)*(m - 1)/9
Factor r**2 + 147*r - 298.
(r - 2)*(r + 149)
Factor 2*v**4 + 56*v**3 + 282*v**2 + 404*v + 176.
2*(v + 1)**2*(v + 4)*(v + 22)
Determine p so that 2*p**4 + 776*p**3 + 112908*p**2 + 7301384*p + 177058562 = 0.
-97
Factor -105*p**3 - 395*p**2 - 240*p.
-5*p*(p + 3)*(21*p + 16)
Suppose -5*j**3 + 15*j**2 + 540*j = 0. What is j?
-9, 0, 12
Factor -3*v**4 - 3*v**3 + 51*v**2 + 63*v - 108.
-3*(v - 4)*(v - 1)*(v + 3)**2
Solve 2*h**2/7 + 128*h/7 - 264/7 = 0 for h.
-66, 2
Factor 2*x**4/9 - 10*x**3/9 - 14*x**2/3 - 46*x/9 - 16/9.
2*(x - 8)*(x + 1)**3/9
Factor 2*t**3 + 346*t**2 + 15136*t + 14792.
2*(t + 1)*(t + 86)**2
Factor 4*q**3 - 28*q**2 + 28*q + 60.
4*(q - 5)*(q - 3)*(q + 1)
Let -12*w**5 + 44*w**4 - 24*w**3 = 0. Calculate w.
0, 2/3, 3
Factor 72*s**4 + 96*s**3 - 406*s**2 - 142*s - 12.
2*(s - 2)*(s + 3)*(6*s + 1)**2
What is y in -2*y**3/13 - 24*y**2/13 - 42*y/13 - 20/13 = 0?
-10, -1
Factor -4*x**4/7 + 96*x**3/7 - 648*x**2/7 + 1728*x/7 - 1620/7.
-4*(x - 15)*(x - 3)**3/7
Factor 3*l**3 - 39*l**2 + 36*l.
3*l*(l - 12)*(l - 1)
Solve 12*b**5 + 10*b**4 - 14*b**3 - 10*b**2 + 2*b = 0 for b.
-1, 0, 1/6, 1
Factor -k**4 + 14*k**3 - 17*k**2 - 80*k - 48.
-(k - 12)*(k - 4)*(k + 1)**2
What is i in -5*i**5 - 20*i**4 + 120*i**3 + 50*i**2 - 355*i + 210 = 0?
-7, -2, 1, 3
Solve -4*z**3 - 24*z**2 - 48*z - 32 = 0.
-2
Let 8*j**5/7 + 96*j**4/7 + 234*j**3/7 + 166*j**2/7 + 36*j/7 = 0. Calculate j.
-9, -2, -1/2, 0
Find w such that -4*w**3 - 60*w**2 - 56*w = 0.
-14, -1, 0
Solve -2*n**4/7 + 66*n**3/7 - 18*n**2 + 62*n/7 = 0.
0, 1, 31
Factor 3*q**4 - 177*q**3 + 171*q**2 + 177*q - 174.
3*(q - 58)*(q - 1)**2*(q + 1)
Factor 4*r**2/7 + 15304*r/7.
4*r*(r + 3826)/7
Factor 19*b**3/4 - 58*b**2 + 107*b - 20.
(b - 10)*(b - 2)*(19*b - 4)/4
Suppose 190*n**3/7 - 3044*n**2/7 + 2914*n/7 - 60/7 = 0. What is n?
2/95, 1, 15
Fact