in j**4/6 + j**3/3 - 5*j**2/6 - j = 0?
-3, -1, 0, 2
Factor 8*m**4 - 18*m**3 - 116*m**2 + 318*m - 72.
2*(m - 3)**2*(m + 4)*(4*m - 1)
Determine b, given that -4*b**2/3 - 348*b = 0.
-261, 0
Factor 4*m**2 - 32*m.
4*m*(m - 8)
Let -5*a**2 + 9155*a = 0. Calculate a.
0, 1831
Factor -3*i**3 + 3*i**2 + 6*i.
-3*i*(i - 2)*(i + 1)
Let d**3 - 66*d**2 + 945*d + 4900 = 0. What is d?
-4, 35
Let 5*v**4 - 30*v**3 - 135*v**2 = 0. What is v?
-3, 0, 9
Factor 2*f**4/3 + 284*f**3 + 92426*f**2/3 + 119848*f + 356168/3.
2*(f + 2)**2*(f + 211)**2/3
Suppose -5*k**3 + 4770*k**2 - 19020*k + 19000 = 0. Calculate k.
2, 950
Factor -t**3/5 - 6*t**2/5 + 72*t/5.
-t*(t - 6)*(t + 12)/5
Factor 12*o**3 - 27676*o**2 + 15962132*o - 5317636.
4*(o - 1153)**2*(3*o - 1)
Factor -162*v**2/11 - 7056*v/11 - 76832/11.
-2*(9*v + 196)**2/11
Factor w**3/7 - 4*w**2.
w**2*(w - 28)/7
Find i, given that -4*i**2 - 124*i - 432 = 0.
-27, -4
Solve c**5 - 11*c**4 + 24*c**3 + 4*c**2 - 32*c = 0.
-1, 0, 2, 8
What is a in 3*a**2/5 - 231*a/5 - 474/5 = 0?
-2, 79
Suppose 4*y**3 - 436*y**2 - 2760*y = 0. What is y?
-6, 0, 115
Solve r**3 - 6*r**2 - 37*r - 30 = 0.
-3, -1, 10
Let 25*c**3 + 140*c**2 + 5*c - 350 = 0. What is c?
-5, -2, 7/5
Factor -2*l**2/13 - 190*l/13.
-2*l*(l + 95)/13
Determine x so that -447*x**4 + 1335*x**3 - 876*x**2 - 12*x = 0.
-2/149, 0, 1, 2
Let 2*g**2/7 - 46*g/7 + 152/7 = 0. Calculate g.
4, 19
Let -c**3 - 2*c**2 - c = 0. Calculate c.
-1, 0
Factor -2*w**2/17 + 144*w/17 + 2408/17.
-2*(w - 86)*(w + 14)/17
Determine p so that 2*p**5 - 19*p**4/2 + 31*p**3/2 - 19*p**2/2 + p/2 + 1 = 0.
-1/4, 1, 2
Determine f so that f**3/4 + 23*f**2/4 + 5*f - 11 = 0.
-22, -2, 1
Factor -3*u**2 + 7*u + 6.
-(u - 3)*(3*u + 2)
Solve -2*t**3/13 + 28*t**2/13 - 70*t/13 + 44/13 = 0.
1, 2, 11
Let 2*b**2 - 34*b - 168 = 0. What is b?
-4, 21
Suppose -21*m**4/8 + 209*m**3/4 - 1829*m**2/8 + 323*m/2 + 35/2 = 0. What is m?
-2/21, 1, 5, 14
Factor -d**3 + d**2 + d - 1.
-(d - 1)**2*(d + 1)
Factor -4*l**5/5 - 36*l**4/5 + 84*l**3/5 - 44*l**2/5.
-4*l**2*(l - 1)**2*(l + 11)/5
Factor y**3 + 125*y**2 + 3843*y - 3969.
(y - 1)*(y + 63)**2
Factor -5*y**5 + 195*y**4 - 1590*y**3 - 5990*y**2 - 6405*y - 2205.
-5*(y - 21)**2*(y + 1)**3
Suppose 2*w**5/5 + 16*w**4/5 - 134*w**3/5 - 484*w**2/5 - 336*w/5 = 0. Calculate w.
-12, -2, -1, 0, 7
Find r such that -2*r**3/15 - 14*r**2/15 + 82*r/15 - 22/5 = 0.
-11, 1, 3
Factor 6*q**3 - 1886*q**2 - 1260*q.
2*q*(q - 315)*(3*q + 2)
Let 14*x**4/3 - 410*x**3/3 + 2636*x**2/3 - 240*x = 0. What is x?
0, 2/7, 9, 20
Factor -4*y**4 - 52*y**3 - 136*y**2 + 192*y.
-4*y*(y - 1)*(y + 6)*(y + 8)
Let -8*d**2/3 - 10*d + 8/3 = 0. What is d?
-4, 1/4
Factor -6*t**3 - 849*t**2 + 4836*t - 2205.
-3*(t - 5)*(t + 147)*(2*t - 1)
Factor -2*k**4/9 + 20*k**3/9.
-2*k**3*(k - 10)/9
What is n in 3*n**5 - 15*n**4 + 9*n**3 + 27*n**2 = 0?
-1, 0, 3
Factor 5*h**3 - 120*h**2 + 640*h.
5*h*(h - 16)*(h - 8)
Find m, given that 36*m**4 - 436*m**3 - 492*m**2 + 996*m - 104 = 0.
-2, 1/9, 1, 13
Find q, given that 4*q**3 - 3400*q**2 + 722500*q = 0.
0, 425
Let 5*v**4 - 20*v**3 - 10*v**2 + 60*v + 45 = 0. Calculate v.
-1, 3
Solve -2*r**3 + 28*r**2 - 70*r + 44 = 0 for r.
1, 2, 11
Factor 8*p**3/21 + 3374*p**2/3 + 5811504*p/7 + 1452384/7.
2*(p + 1476)**2*(4*p + 1)/21
Factor -3*r**2 - 15*r - 18.
-3*(r + 2)*(r + 3)
Let 5*b**4 + 5*b**3 - 110*b**2 + 220*b - 120 = 0. What is b?
-6, 1, 2
Solve -4*y**2 - 186*y + 288 = 0.
-48, 3/2
Factor -4*m**2 - 132*m - 128.
-4*(m + 1)*(m + 32)
Factor -3*j**2/4 - 609*j/2 - 123627/4.
-3*(j + 203)**2/4
Let -4*y**2 - 1612*y = 0. Calculate y.
-403, 0
Factor -h**4/3 - 34*h**3/3 - 32*h**2/3 + 34*h/3 + 11.
-(h - 1)*(h + 1)**2*(h + 33)/3
Determine i so that -2*i**3 + 2394*i**2 - 4782*i + 2390 = 0.
1, 1195
Factor 4*y**2 - 840*y + 44100.
4*(y - 105)**2
Factor y**4/3 + 5*y**3/3.
y**3*(y + 5)/3
Suppose j**4/3 + 17*j**3/3 + 15*j**2 - 101*j/3 - 130/3 = 0. What is j?
-13, -5, -1, 2
Determine h so that 5*h**4 + 60*h**3 - 385*h**2 + 660*h - 340 = 0.
-17, 1, 2
Factor l**5/6 + 9*l**4 + 781*l**3/6 + 234*l**2 + 338*l/3.
l*(l + 1)**2*(l + 26)**2/6
Factor -3*v**2/5 + 66*v/5 + 69/5.
-3*(v - 23)*(v + 1)/5
Factor -2*z**2/3 - 1202*z/3 - 2396/3.
-2*(z + 2)*(z + 599)/3
Factor -w**5 - 31*w**4 + 3*w**3 + 95*w**2 + 62*w.
-w*(w - 2)*(w + 1)**2*(w + 31)
Factor z**2/4 - 2005*z/2 + 4020025/4.
(z - 2005)**2/4
Find g such that g**4/5 - 37*g**3 + 723*g**2/5 + 37*g - 724/5 = 0.
-1, 1, 4, 181
Factor 2*o**2 - 38*o + 176.
2*(o - 11)*(o - 8)
Factor d**2 - 126*d + 3969.
(d - 63)**2
Factor -2*f**5/3 - 22*f**4/3 - 80*f**3/3 - 32*f**2.
-2*f**2*(f + 3)*(f + 4)**2/3
What is t in t**2 - 14*t = 0?
0, 14
Determine k, given that k**5 - 68*k**4 - 72*k**3 + 206*k**2 + 71*k - 138 = 0.
-2, -1, 1, 69
Factor 2*w**2 + 20*w + 50.
2*(w + 5)**2
What is i in 6*i**3 + 16*i**2 - 30*i + 8 = 0?
-4, 1/3, 1
Suppose -5*b**3/6 + 305*b**2 - 57015*b/2 + 327610/3 = 0. What is b?
4, 181
Factor -h**3/6 - 2*h**2/3 + 7*h/6 + 5/3.
-(h - 2)*(h + 1)*(h + 5)/6
Factor s**4 - 4*s**3 - 12*s**2.
s**2*(s - 6)*(s + 2)
Solve -4*m**2 - 11128*m - 11124 = 0.
-2781, -1
Factor -3*c**2 + 144*c + 459.
-3*(c - 51)*(c + 3)
Solve -4*x**4/3 - 532*x**3/3 - 6156*x**2 - 51740*x/3 - 33800/3 = 0 for x.
-65, -2, -1
Suppose r**5/6 + 5*r**4/6 - 17*r**3/6 - 7*r**2/2 = 0. Calculate r.
-7, -1, 0, 3
Factor -3*c**3/8 + 99*c**2/4 - 3627*c/8 + 2883/2.
-3*(c - 31)**2*(c - 4)/8
Let n**2/3 + 44*n/3 + 76 = 0. What is n?
-38, -6
Factor 5*a**3 - 131*a**2 - 3629*a + 731.
(a - 43)*(a + 17)*(5*a - 1)
Factor -3*d**5 - 54*d**4 + 117*d**3 - 60*d**2.
-3*d**2*(d - 1)**2*(d + 20)
Factor -10*s**3 + 128*s**2 + 506*s + 96.
-2*(s - 16)*(s + 3)*(5*s + 1)
Factor u**2/4 - 59*u/4 - 693/2.
(u - 77)*(u + 18)/4
Factor -2*p**2 - 310*p + 628.
-2*(p - 2)*(p + 157)
Factor y**3/5 - 378*y**2/5 + 7068*y + 14440.
(y - 190)**2*(y + 2)/5
Find g such that 2*g**4/9 + 14*g**3/9 - 34*g**2/9 + 2*g = 0.
-9, 0, 1
Factor 4*n**3 + 36*n**2.
4*n**2*(n + 9)
Factor 3*d**5 - 51*d**4 + 240*d**3 - 192*d**2.
3*d**2*(d - 8)**2*(d - 1)
Factor 3*t**3/5 - 27*t**2 - 576*t/5 - 588/5.
3*(t - 49)*(t + 2)**2/5
Factor -4*c**2 + 8072*c + 8076.
-4*(c - 2019)*(c + 1)
Factor g**3/3 - 9*g**2 + 116*g/3 - 44.
(g - 22)*(g - 3)*(g - 2)/3
Let 2*o**3 - 32*o**2 - 248*o - 352 = 0. Calculate o.
-4, -2, 22
Factor 5*u**5 + 1745*u**4 + 203580*u**3 + 8006320*u**2 + 7804480*u.
5*u*(u + 1)*(u + 116)**3
Let 2*q**2 - 148*q + 288 = 0. What is q?
2, 72
Factor -q**3/4 + 3*q**2/4 + 9*q/4 + 5/4.
-(q - 5)*(q + 1)**2/4
Suppose -2*a**2 + 26*a - 24 = 0. Calculate a.
1, 12
Determine h, given that 3*h**2 - 75*h + 432 = 0.
9, 16
Factor m**5 + 16*m**4 - 74*m**3 + 116*m**2 - 79*m + 20.
(m - 1)**4*(m + 20)
Factor 2*b**3 - 58*b**2 - 2*b + 58.
2*(b - 29)*(b - 1)*(b + 1)
Solve 2*x**2 - 92*x + 336 = 0.
4, 42
Find f such that -3*f**5/7 + 12*f**4/7 + 6*f**3/7 - 24*f**2/7 - 3*f/7 + 12/7 = 0.
-1, 1, 4
Find w such that -3*w**2 + 10800*w - 9720000 = 0.
1800
Solve 2*y**4/7 + 2*y**3 + 26*y**2/7 - 6*y/7 - 36/7 = 0.
-3, -2, 1
Let -2*z**2/17 - 88*z/17 + 490/17 = 0. Calculate z.
-49, 5
Factor 3*n**5 + 165*n**4 + 1578*n**3 + 5748*n**2 + 9096*n + 5280.
3*(n + 2)**3*(n + 5)*(n + 44)
Let y**5 + 76*y**4 + 291*y**3 + 212*y**2 - 292*y - 288 = 0. Calculate y.
-72, -2, -1, 1
Let -4*z**5 - 44*z**4 - 108*z**3 - 100*z**2 - 32*z = 0. Calculate z.
-8, -1, 0
Find z such that -3*z**5 + 30*z**4 - 24*z**3 - 30*z**2 + 27*z = 0.
-1, 0, 1, 9
Factor p**3 - 25*p**2 + 136*p - 180.
(p - 18)*(p - 5)*(p - 2)
Determine l, given that -l**2 - 218*l - 11881 = 0.
-109
Let -80*b**4 + 40*b**3 + 75*b**2 - 40*b + 5 = 0. Calculate b.
-1, 1/4, 1
Factor 2*s**2 - 180*s + 4050.
2*(s - 45)**2
Suppose -30*y**4 + 3056*y**3 - 8562*y**2 + 4744*y + 792 = 0. What is y?
-2/15, 1, 2, 99
What is d in d**5/2 + 3*d**4/2 - 7*d**3/2 - 15*d**2/2 + 9*d = 0?
-3, 0, 1, 2
Solve -14*v**5/15 - 92*v**4/15 - 62*v**3/5 - 52*v**2/15 + 40*v/3 + 48/5 = 0 for v.
-18/7, -2, -1, 1
Find l such that -2*l**5/11 - 28*l**4/11 - 92*l**3/11 - 128*l**2/11 - 82*l/11 - 20/11 = 0.
-10, -1
Determine k so that -5*k**3 - 195*k**2 - 1995*k - 1805 = 0.
-19, -1
Let -196*r**4 - 5796*r**3 - 40504*r**2 - 21744*r - 3040 = 0. What is r?
-19, -10, -2/7
Let -2*q**5/7 + 6*q**3/7 + 4*q**2/7 = 0. Calculate q.
-1, 0, 2
Suppose 2*l**2/5 - 86*l/5 - 140 = 0. What is l?
-7, 50
Solve -2*o**3/5 - 2634*o**2/5 - 1156326*o/5 - 169209038/5 = 0 for o.
-439
Let 4*z**2 - 80*z 