 120*n**2 = 0. Calculate n.
-3, 0, 1, 10
Suppose n**3 - 52*n**2 - 108*n = 0. Calculate n.
-2, 0, 54
Find z such that 2*z**2 + 22444*z + 62966642 = 0.
-5611
Factor -5*f**3 + 960*f**2 - 61440*f + 1310720.
-5*(f - 64)**3
Suppose 3*t**2/4 - 87*t/2 + 594 = 0. Calculate t.
22, 36
Factor -2*x**3 + 166*x**2 - 164*x.
-2*x*(x - 82)*(x - 1)
Factor 54*a**5 + 270*a**4 + 396*a**3 + 232*a**2 + 48*a.
2*a*(a + 3)*(3*a + 2)**3
Factor 4*n**3 + 44*n**2 + 96*n.
4*n*(n + 3)*(n + 8)
Let -2*m**4/15 + 2*m**3/15 + 8*m**2/15 - 8*m/15 = 0. Calculate m.
-2, 0, 1, 2
Suppose 3*j**3 - 21*j**2 - 3*j + 21 = 0. What is j?
-1, 1, 7
Factor 3*v**3/5 + 777*v**2 + 23229*v/5 + 34803/5.
3*(v + 3)**2*(v + 1289)/5
What is x in 4*x**3 - 384*x**2 + 740*x + 1128 = 0?
-1, 3, 94
Factor 5*v**4 - 1580*v**3 + 4705*v**2 - 3130*v.
5*v*(v - 313)*(v - 2)*(v - 1)
What is u in u**4 + 285*u**3/2 - 72*u**2 - 143*u/2 = 0?
-143, -1/2, 0, 1
What is l in -2*l**4 - 38*l**3 + 524*l**2 - 1576*l + 1392 = 0?
-29, 2, 6
What is s in 21*s**3/4 + 159*s**2/8 + 33*s/2 - 9/2 = 0?
-2, 3/14
What is j in -2*j**3 - 418*j**2 = 0?
-209, 0
Find s such that 30*s**5 - 886*s**4/7 + 810*s**3/7 - 122*s**2/7 - 12*s/7 = 0.
-1/15, 0, 2/7, 1, 3
Solve -44*a**5 - 432*a**4 - 1020*a**3 + 200*a**2 + 1584*a - 288 = 0 for a.
-6, -3, -2, 2/11, 1
Suppose -2*i**3/13 - 44*i**2/13 + 2*i/13 + 44/13 = 0. What is i?
-22, -1, 1
Factor -2*q**2/3 - 50*q/3 + 124.
-2*(q - 6)*(q + 31)/3
Determine r, given that -r**5/4 + 5*r**4/2 - 7*r**3 + 6*r**2 = 0.
0, 2, 6
Determine v so that 4*v**3 - 58*v**2 - 100*v + 64 = 0.
-2, 1/2, 16
What is l in 3*l**2/7 - 129*l/7 + 246/7 = 0?
2, 41
What is x in 4*x**2 + 336*x + 7056 = 0?
-42
Determine p so that -3*p**2/8 - 1689*p/8 + 1695/4 = 0.
-565, 2
Factor 3*t**2/4 - 207*t/2 - 1269/4.
3*(t - 141)*(t + 3)/4
Solve 3*h**4/7 + 60*h**3/7 + 354*h**2/7 + 540*h/7 + 243/7 = 0 for h.
-9, -1
Factor -z**4 - 11*z**3 + z**2 + 11*z.
-z*(z - 1)*(z + 1)*(z + 11)
Solve -3*q**4 + 27*q**3 - 45*q**2 + 21*q = 0 for q.
0, 1, 7
Factor -5*j**2 + 245*j - 2090.
-5*(j - 38)*(j - 11)
Solve w**4/8 + 25*w**3/8 - 27*w**2/8 - 25*w/8 + 13/4 = 0.
-26, -1, 1
Suppose 5*v**2/9 + 67*v/9 + 26/9 = 0. Calculate v.
-13, -2/5
Factor 5*p**4/3 + 20*p**3 + 15*p**2 - 110*p/3.
5*p*(p - 1)*(p + 2)*(p + 11)/3
Factor -d**3/4 + 13*d**2 - 577*d/4 - 315/2.
-(d - 35)*(d - 18)*(d + 1)/4
Factor 4*a**3/3 + 22*a**2 + 72*a - 162.
2*(a + 9)**2*(2*a - 3)/3
Factor 2*o**3 + 192*o**2.
2*o**2*(o + 96)
Factor 15*u**3 + 15245*u**2 - 25440*u + 10180.
5*(u - 1)*(u + 1018)*(3*u - 2)
Factor -3*m**4 + 39*m**3 - 180*m**2 + 336*m - 192.
-3*(m - 4)**3*(m - 1)
Find c such that 2*c**2/3 + 32*c/3 + 10 = 0.
-15, -1
Factor -3*o**5/5 - 42*o**4/5 - 183*o**3/5 - 252*o**2/5 - 108*o/5.
-3*o*(o + 1)**2*(o + 6)**2/5
Factor -15*o**2 + 819*o - 486.
-3*(o - 54)*(5*o - 3)
Factor -2*s**2/11 + 12*s/11.
-2*s*(s - 6)/11
Factor 2*m**2/3 - 1262*m/3 + 398161/6.
(2*m - 631)**2/6
Factor -2*a**4 - 396*a**3 - 25728*a**2 - 520724*a + 1804578.
-2*(a - 3)*(a + 67)**3
Factor -k**3/4 + 12*k**2.
-k**2*(k - 48)/4
Factor -3*q**2 - 96*q + 99.
-3*(q - 1)*(q + 33)
Suppose -m**2 - 22*m - 72 = 0. What is m?
-18, -4
Factor 6*r**3 + 50*r**2 + 16*r.
2*r*(r + 8)*(3*r + 1)
Factor -y**3 - 6*y**2 - 5*y + 12.
-(y - 1)*(y + 3)*(y + 4)
Factor -2*t**3 + 20*t**2 + 1000*t + 6000.
-2*(t - 30)*(t + 10)**2
Factor -s**4/7 - 12*s**3/7 + 32*s**2/7 + 48*s/7 - 16.
-(s - 2)**2*(s + 2)*(s + 14)/7
Factor -40*l**3 + 35*l**2 + 75*l.
-5*l*(l + 1)*(8*l - 15)
Factor -2*c**2 + 34*c - 104.
-2*(c - 13)*(c - 4)
Let w**4 + 70*w**3 + 328*w**2 + 186*w - 585 = 0. What is w?
-65, -3, 1
Solve w**4/5 + 304*w**3/5 + 303*w**2/5 = 0 for w.
-303, -1, 0
Factor t**4/4 - 181*t**3/2 + 1077*t**2/4.
t**2*(t - 359)*(t - 3)/4
Factor 3*h**2 + 60*h - 132.
3*(h - 2)*(h + 22)
Suppose 4*z**3/7 - 1304*z**2/7 = 0. What is z?
0, 326
Factor -3*t**4 + 147*t**3 + 954*t**2 + 1956*t + 1320.
-3*(t - 55)*(t + 2)**3
Suppose -16*m**3/3 + 62*m**2/3 - 74*m/3 + 28/3 = 0. What is m?
7/8, 1, 2
Find z, given that 5*z**4/2 - 41*z**3/2 - 46*z**2 + 10*z = 0.
-2, 0, 1/5, 10
Factor -c**2 + 3906*c + 3907.
-(c - 3907)*(c + 1)
Factor 195*a**3 + 320*a**2 - 180*a - 80.
5*(a + 2)*(3*a - 2)*(13*a + 4)
Let 3*a**2 - 81*a + 78 = 0. Calculate a.
1, 26
Solve -2*f**5/5 - 18*f**4/5 - 26*f**3/5 + 18*f**2/5 + 28*f/5 = 0 for f.
-7, -2, -1, 0, 1
Determine d, given that 3*d**5 - 30*d**4 - 117*d**3 - 12*d**2 + 156*d = 0.
-2, 0, 1, 13
Factor 6*h**5 + 760*h**4/3 + 56*h**3.
2*h**3*(h + 42)*(9*h + 2)/3
Factor 8*u**3/11 + 42*u**2/11 + 28*u/11 - 48/11.
2*(u + 2)*(u + 4)*(4*u - 3)/11
What is k in 202*k**2/7 - 408*k/7 + 8/7 = 0?
2/101, 2
Find o such that -55*o**2 + 120*o - 20 = 0.
2/11, 2
Factor 3*v**3/5 + 12*v**2 - 69*v/5 - 126/5.
3*(v - 2)*(v + 1)*(v + 21)/5
Let 4*c**4/3 + 364*c**3/3 + 2440*c**2 - 14592*c + 18432 = 0. Calculate c.
-48, 2, 3
Factor 10*b**3 + 776*b**2 + 14898*b - 6084.
2*(b + 39)**2*(5*b - 2)
Solve -5*k**2 + 755*k + 2310 = 0.
-3, 154
Factor -2*c**3/3 + 472*c**2 - 111392*c + 26288512/3.
-2*(c - 236)**3/3
Factor -2*l**5 + 34*l**4 - 60*l**3 - 4*l**2 + 62*l - 30.
-2*(l - 15)*(l - 1)**3*(l + 1)
Factor -4*j**2 - 532*j + 1080.
-4*(j - 2)*(j + 135)
Factor q**5/4 + 53*q**4/4 + 675*q**3/4 - 729*q**2/4.
q**2*(q - 1)*(q + 27)**2/4
Factor q**4/2 + 50*q**3 + 667*q**2/2 + 750*q + 558.
(q + 2)**2*(q + 3)*(q + 93)/2
What is j in j**4/4 + 3*j**3/2 + 11*j**2/4 + 3*j/2 = 0?
-3, -2, -1, 0
Let -4*s**5/3 - 4*s**4/3 + 8*s**3/3 = 0. What is s?
-2, 0, 1
Solve -j**4/2 + 8*j**3/3 - j**2/3 - 8*j/3 + 5/6 = 0.
-1, 1/3, 1, 5
What is i in 2*i**3/5 + 464*i**2/5 - 2362*i/5 + 1896/5 = 0?
-237, 1, 4
Factor -v**4/6 + 4*v**3/3 - 5*v**2/6 - 7*v/3.
-v*(v - 7)*(v - 2)*(v + 1)/6
Factor 7*x**2/4 - 185*x - 53.
(x - 106)*(7*x + 2)/4
Factor 2*d**2/11 + 84*d/11 - 1296/11.
2*(d - 12)*(d + 54)/11
Let z**5/9 - 7*z**4/9 + 14*z**3/9 - 2*z**2/9 - 5*z/3 + 1 = 0. Calculate z.
-1, 1, 3
Determine g, given that 2*g**4/3 + 101*g**3/6 + 77*g**2/2 - 781*g/6 + 445/6 = 0.
-89/4, -5, 1
Factor -n**5 + 15*n**4 - 27*n**3 + 13*n**2.
-n**2*(n - 13)*(n - 1)**2
Solve 2*n**5/17 + 28*n**4/17 + 42*n**3/17 - 352*n**2/17 + 280*n/17 = 0.
-10, -7, 0, 1, 2
Let -3*o**4/7 - 6*o**3/7 + 9*o**2/7 = 0. Calculate o.
-3, 0, 1
What is v in 6*v**4 - 8*v**3 - 10*v**2 + 4*v = 0?
-1, 0, 1/3, 2
Factor 3*x**3/8 + 12069*x**2/8 + 12144429*x/8 + 12132363/8.
3*(x + 1)*(x + 2011)**2/8
Factor i**5/8 + 93*i**4/4 + 369*i**3/8 + 23*i**2.
i**2*(i + 1)**2*(i + 184)/8
What is a in 3*a**4/4 - 15*a**3/4 - 27*a**2 = 0?
-4, 0, 9
Factor -2*z**5/7 - 12*z**4 - 162*z**3/7 - 80*z**2/7.
-2*z**2*(z + 1)**2*(z + 40)/7
Suppose -5*h**5 + 25*h**4 - 35*h**3 + 15*h**2 = 0. Calculate h.
0, 1, 3
Factor -2*q**4/7 - 284*q**3/7 - 834*q**2/7.
-2*q**2*(q + 3)*(q + 139)/7
Factor 2*m**4/5 - 136*m**3/5 - 84*m**2 - 424*m/5 - 142/5.
2*(m - 71)*(m + 1)**3/5
Determine s, given that 10*s**4 - 185*s**3 - 735*s**2 - 760*s - 220 = 0.
-2, -1, -1/2, 22
Let k**5/3 - 50*k**4/3 + 49*k**3/3 = 0. Calculate k.
0, 1, 49
Factor k**2/5 + 107*k/5 + 410.
(k + 25)*(k + 82)/5
Factor -3*k**2 - 18*k + 480.
-3*(k - 10)*(k + 16)
Determine r so that 3*r**2 + 27*r - 30 = 0.
-10, 1
Suppose 5*g**4 + 30*g**3 - 135*g**2 + 20*g + 180 = 0. Calculate g.
-9, -1, 2
Factor 2*k**3/17 - 26*k**2 + 1308*k/17.
2*k*(k - 218)*(k - 3)/17
Solve 3*p**5 + 30*p**4 + 36*p**3 - 102*p**2 - 39*p + 72 = 0.
-8, -3, -1, 1
Factor 27*n**2 + 111*n - 138.
3*(n - 1)*(9*n + 46)
Factor 4*s**3 - 14792*s**2 + 13675204*s.
4*s*(s - 1849)**2
Factor i**4/4 - i**3 - 19*i**2/4 + 23*i/2 - 6.
(i - 6)*(i - 1)**2*(i + 4)/4
Find m such that -2*m**3 + 92*m**2 + 208*m - 768 = 0.
-4, 2, 48
Factor -4*q**2 + 44*q.
-4*q*(q - 11)
Factor -6*o**3/5 - 66*o**2/5 + 6*o/5 + 66/5.
-6*(o - 1)*(o + 1)*(o + 11)/5
Factor n**2/7 - 53*n - 372/7.
(n - 372)*(n + 1)/7
Find q such that q**4/3 + q**3 - 7*q**2/3 - 5*q + 6 = 0.
-3, 1, 2
Suppose 2*o**3/7 + 38*o**2/7 - 40*o/7 = 0. Calculate o.
-20, 0, 1
Factor 3*z**3 - 1206*z**2.
3*z**2*(z - 402)
Factor -4*x**2 - 244*x + 2208.
-4*(x - 8)*(x + 69)
Determine m, given that -5*m**5 + 35*m**4 + 15*m**3 - 215*m**2 - 310*m - 120 = 0.
-1, 4, 6
Find o, given that -2*o**5/7 + 4*o**4/7 - 4*o**2/7 + 2*o/7 = 0.
-1, 0, 1
Factor -3*v**3 + 42*v**2 + 120*v - 384.
-3*(v - 16)*(v - 2)*(v + 4)
Factor 2*n**3 + 20*n**2 - 14*n - 392.
2*(n - 4)*(n + 7)**2
Factor 2*w**3 - 2*w**2 - 42*w + 90.
2*(w - 3)**2*(w + 5)
Factor -3*i**3 - 69*i