g**3 - 3*g**2 + 6*g = 0.
-2, 0, 1
Factor 3*o**3 + 186*o**2 + 2688*o - 6144.
3*(o - 2)*(o + 32)**2
Factor -2*v**3 + 54*v**2 - 52*v.
-2*v*(v - 26)*(v - 1)
Factor -21*w**2/2 + 909*w/2 - 129.
-3*(w - 43)*(7*w - 2)/2
Find h such that -6*h**5 + 22*h**4 + 2*h**3 - 54*h**2 + 4*h + 32 = 0.
-1, 1, 2, 8/3
Factor -3*g**3/2 - 9*g**2 - 12*g.
-3*g*(g + 2)*(g + 4)/2
Factor -2*m**2/5 - 18*m/5 - 16/5.
-2*(m + 1)*(m + 8)/5
Solve -g**3/6 + 4*g**2/3 - 5*g/6 - 7/3 = 0 for g.
-1, 2, 7
Determine r, given that 6*r**2/5 - 204*r/5 - 42 = 0.
-1, 35
What is c in c**4/4 + 3*c**3/4 + c**2/2 = 0?
-2, -1, 0
Factor m**4/7 - 15*m**3/7 + 7*m**2 - 57*m/7 + 22/7.
(m - 11)*(m - 2)*(m - 1)**2/7
Determine d so that d**3/2 - d**2/3 - d/6 = 0.
-1/3, 0, 1
Factor -405*y**3 + 180*y**2 + 4480*y + 5120.
-5*(y - 4)*(9*y + 16)**2
Find l, given that -2*l**2/11 - 108*l/11 = 0.
-54, 0
Determine s, given that -16*s**3/7 - 2*s**2 + 14*s - 12/7 = 0.
-3, 1/8, 2
Find o, given that -o**5/2 - 21*o**4/4 - 29*o**3/2 - o**2 + 15*o + 25/4 = 0.
-5, -1, -1/2, 1
Factor -u**2/5 + 72*u/5 + 468/5.
-(u - 78)*(u + 6)/5
Solve 2*c**5 - 8*c**4 - 18*c**3 + 72*c**2 = 0 for c.
-3, 0, 3, 4
Factor u**3 + 7*u**2 + 11*u + 5.
(u + 1)**2*(u + 5)
Find i such that 6*i**4 + 75*i**3 + 267*i**2 + 252*i = 0.
-7, -4, -3/2, 0
Factor -10*o**3 + 18*o**2 + 12*o - 16.
-2*(o - 2)*(o + 1)*(5*o - 4)
Solve -811*c**2/4 - c/2 = 0.
-2/811, 0
Find k such that k**2 - 1898*k + 900601 = 0.
949
Factor -2*c**2/5 - 38*c/5 + 8.
-2*(c - 1)*(c + 20)/5
Factor 2*n**2/7 + 962*n/7.
2*n*(n + 481)/7
Factor -3*c**2/7 - 102*c/7 - 867/7.
-3*(c + 17)**2/7
Factor 2*x**3/15 - 4*x**2/3 - 866*x/15 + 884/15.
2*(x - 26)*(x - 1)*(x + 17)/15
Find v such that -22*v**5/3 + 265*v**4/3 - 378*v**3 + 1987*v**2/3 - 1144*v/3 + 16 = 0.
1/22, 1, 3, 4
Factor 2*w**3/5 + 8*w**2/5 + 2*w + 4/5.
2*(w + 1)**2*(w + 2)/5
Factor q**4 + 57*q**3 + 51*q**2 - 277*q + 168.
(q - 1)**2*(q + 3)*(q + 56)
Find f such that -f**2/4 - 437*f/2 - 190969/4 = 0.
-437
Let 2*a**2/9 + 164*a/9 = 0. Calculate a.
-82, 0
Solve 3*k**5 - 21*k**4 + 45*k**3 - 27*k**2 = 0 for k.
0, 1, 3
Factor -d**2/4 - 722*d - 521284.
-(d + 1444)**2/4
Find k, given that k**3/6 + k**2/2 - 2*k/3 = 0.
-4, 0, 1
Factor -4*r**2 + 144*r + 468.
-4*(r - 39)*(r + 3)
What is u in -u**3 + 59*u**2 - 56*u - 116 = 0?
-1, 2, 58
What is j in 3*j**3 + 273*j**2 - 1140*j = 0?
-95, 0, 4
Factor 5*o**3 + 8*o**2 + o - 2.
(o + 1)**2*(5*o - 2)
Let -2*w**2/25 + 132*w/25 - 256/25 = 0. Calculate w.
2, 64
Factor -2*j**3/9 - 104*j**2/9 + 214*j/9 - 12.
-2*(j - 1)**2*(j + 54)/9
Solve -3*o**5 + 354*o**4 - 2052*o**3 + 4062*o**2 - 3369*o + 1008 = 0.
1, 3, 112
Solve -27*s**2 - 9*s/2 + 1/3 = 0 for s.
-2/9, 1/18
Let -v**5/7 - 611*v**4/7 + v**3/7 + 611*v**2/7 = 0. What is v?
-611, -1, 0, 1
Let 14*i**3/3 + 22*i**2/3 + 2*i/3 - 2 = 0. What is i?
-1, 3/7
Suppose 2*b**3/9 - 1544*b**2/3 + 1191968*b/3 - 920199296/9 = 0. Calculate b.
772
Find t such that 2*t**3 + 30*t**2 - 8*t - 120 = 0.
-15, -2, 2
Find l such that -2*l**3/3 + 8*l**2 - 14*l + 20/3 = 0.
1, 10
Factor -5*p**2/2 - 235*p + 475/2.
-5*(p - 1)*(p + 95)/2
Let -4*h**3 - 12*h**2 - 12*h - 4 = 0. Calculate h.
-1
Factor -15*o**3 + 54*o**2 - 21*o - 18.
-3*(o - 3)*(o - 1)*(5*o + 2)
Suppose 27*p**2 + 210*p - 48 = 0. What is p?
-8, 2/9
Factor 3*q**3/2 + 47*q**2/6 - 157*q/3 - 12.
(q - 4)*(q + 9)*(9*q + 2)/6
Factor -3*z**5 - 12*z**4 - 3*z**3 + 30*z**2 + 12*z - 24.
-3*(z - 1)**2*(z + 2)**3
Factor -2*v**5 - 2*v**4.
-2*v**4*(v + 1)
Factor -g**3 - 32*g**2.
-g**2*(g + 32)
Factor -3*x**3/5 - 201*x**2/5 - 192*x/5 + 396/5.
-3*(x - 1)*(x + 2)*(x + 66)/5
Factor -4*x**3 + 1008*x**2 - 84672*x + 2370816.
-4*(x - 84)**3
What is b in -5*b**4 - 2710*b**3 - 361745*b**2 + 1479660*b - 1490580 = 0?
-273, 2
Factor -4*t**4 - 84*t**3 + 380*t**2 - 492*t + 200.
-4*(t - 2)*(t - 1)**2*(t + 25)
Solve -6*f**2/7 - 34*f/7 + 232/7 = 0 for f.
-29/3, 4
Suppose f**2/3 + 13*f/3 + 14 = 0. What is f?
-7, -6
Factor 4*r**4/7 - 48*r**3 + 8536*r**2/7 - 8880*r + 136900/7.
4*(r - 37)**2*(r - 5)**2/7
What is l in -l**4/2 + 225*l**3/2 + 341*l**2 + 228*l = 0?
-2, -1, 0, 228
Factor 4*u**3 - 92*u**2 - 104*u + 192.
4*(u - 24)*(u - 1)*(u + 2)
Let -16*w**2 + 244*w - 60 = 0. Calculate w.
1/4, 15
Let -2*n**2/13 + 5500*n/13 - 3781250/13 = 0. Calculate n.
1375
Find z such that -2*z**3/3 + 586*z**2/3 + 196*z = 0.
-1, 0, 294
What is z in -2*z**5/7 - 12*z**4/7 + 100*z**3/7 + 480*z**2/7 + 622*z/7 + 36 = 0?
-9, -2, -1, 7
Find o, given that o**5 + 8*o**4 - 12*o**3 - 26*o**2 + 11*o + 18 = 0.
-9, -1, 1, 2
Determine l, given that -6*l**4/5 + 108*l**3/5 + 528*l**2/5 = 0.
-4, 0, 22
What is t in 2*t**2/3 - 2188*t/3 = 0?
0, 1094
Find q, given that q**3/7 - q**2/7 - 144*q/7 + 144/7 = 0.
-12, 1, 12
Factor -15*j**2 + 126*j - 48.
-3*(j - 8)*(5*j - 2)
Factor 2*g**4/3 + 606*g**3 + 3620*g**2 + 21688*g/3 + 4816.
2*(g + 2)**3*(g + 903)/3
Factor z**2/5 - 3*z/5.
z*(z - 3)/5
Factor 2*q**2/7 + 92*q/7 + 258/7.
2*(q + 3)*(q + 43)/7
Suppose 3*r**5 + 39*r**4 + 162*r**3 + 282*r**2 + 219*r + 63 = 0. What is r?
-7, -3, -1
Factor -v**3/6 + 25*v**2/3 + 3*v/2 - 75.
-(v - 50)*(v - 3)*(v + 3)/6
Factor -h**3/3 - h**2 + 2*h + 8/3.
-(h - 2)*(h + 1)*(h + 4)/3
Let -m**3 + 6*m**2 + m - 6 = 0. What is m?
-1, 1, 6
What is z in 9*z**4/5 - 36*z**3/5 + 47*z**2/5 - 24*z/5 + 4/5 = 0?
1/3, 2/3, 1, 2
Solve 16*r**5 + 68*r**4 - 192*r**3 - 500*r**2 + 848*r + 240 = 0.
-5, -3, -1/4, 2
Factor y**5 + 14*y**4 - 32*y**3 + 2*y**2 + 31*y - 16.
(y - 1)**3*(y + 1)*(y + 16)
Factor p**2/2 + 2*p - 16.
(p - 4)*(p + 8)/2
Suppose 3*n**2 + 15*n - 18 = 0. Calculate n.
-6, 1
Factor m**5/2 + 3*m**4 + 11*m**3/2 + m**2 - 6*m - 4.
(m - 1)*(m + 1)*(m + 2)**3/2
Factor -27*d**4/5 - 114597*d**3/5 + 76407*d**2/5 - 2547*d.
-3*d*(d + 4245)*(3*d - 1)**2/5
Determine i, given that -2*i**4/9 + 32*i**3/9 - 10*i**2 - 36*i = 0.
-2, 0, 9
Factor 2*u**2 + 142*u + 1220.
2*(u + 10)*(u + 61)
Solve 5*u**2 + 865*u - 2640 = 0.
-176, 3
Factor -4*r**5 + 1464*r**4 - 178608*r**3 + 7263392*r**2.
-4*r**2*(r - 122)**3
Factor -w**3 + 157*w**2 - 6083*w - 6241.
-(w - 79)**2*(w + 1)
Solve 4*z**4 + 12*z**3 - 124*z**2 - 252*z + 360 = 0 for z.
-6, -3, 1, 5
Factor 10*f**3 - 116*f**2 - 1378*f - 532.
2*(f - 19)*(f + 7)*(5*f + 2)
What is a in -2*a**4/13 + 13084*a**3/13 - 1647074*a**2 + 42784680*a/13 - 21385800/13 = 0?
1, 3270
What is u in 2*u**2/9 - 2*u/3 - 20/9 = 0?
-2, 5
Factor -z**3 - 42*z**2 + 180*z - 184.
-(z - 2)**2*(z + 46)
Factor 8*q**5/3 - 16*q**4/3 - 22*q**3/3 - 2*q**2.
2*q**2*(q - 3)*(2*q + 1)**2/3
Let 5*o**5 - 105*o**4 + 625*o**3 - 315*o**2 - 4050*o = 0. What is o?
-2, 0, 5, 9
Solve -3*h**3/5 - 156*h**2/5 - 303*h/5 - 30 = 0 for h.
-50, -1
Factor -2*h**3/3 + 490*h**2 - 120050*h + 29412250/3.
-2*(h - 245)**3/3
Factor -2*w**2/3 - 14*w/3 - 4.
-2*(w + 1)*(w + 6)/3
Factor n**2 + 17*n + 42.
(n + 3)*(n + 14)
Determine r so that -6*r**3/7 - 219*r**2/7 + 114*r/7 + 111/7 = 0.
-37, -1/2, 1
Solve 3*p**5 + 45*p**4 + 189*p**3 + 147*p**2 = 0 for p.
-7, -1, 0
Determine y so that -5*y**4 - 105*y**3 - 825*y**2 - 2875*y - 3750 = 0.
-6, -5
Find x, given that 5*x**5 - 370*x**4 + 7180*x**3 - 11480*x**2 - 28800*x + 51840 = 0.
-2, 2, 36
Factor -2*w**2 + 2176*w.
-2*w*(w - 1088)
Factor 8*f**5 - 20*f**4 - 12*f**3 + 76*f**2 - 76*f + 24.
4*(f - 1)**3*(f + 2)*(2*f - 3)
Solve 3*o**5/2 - 12*o**4 + 3*o**3 + 120*o**2 - 225*o/2 = 0 for o.
-3, 0, 1, 5
Determine v, given that -46*v**4 + 234*v**3 - 388*v**2 + 216*v - 16 = 0.
2/23, 1, 2
Determine t so that 9*t**4/7 + 141*t**3/7 + 432*t**2/7 + 444*t/7 + 144/7 = 0.
-12, -2, -1, -2/3
Solve p**3 + 75*p**2 - 648*p + 1328 = 0 for p.
-83, 4
What is k in -4*k**3 + 28*k**2 - 48*k = 0?
0, 3, 4
Let 2*h**4 - 30*h**3 + 74*h**2 + 174*h - 220 = 0. What is h?
-2, 1, 5, 11
Suppose -14*z**4/3 - 230*z**3/3 - 328*z**2 - 256*z/3 + 512/3 = 0. What is z?
-8, -1, 4/7
Determine b, given that 5*b**4/3 + 1402*b**3/3 - 2263*b**2/3 - 656*b + 564 = 0.
-282, -1, 3/5, 2
Factor -9*p**5/4 + 93*p**4/4 - 187*p**3/4 - 289*p**2/4.
-p**2*(p + 1)*(3*p - 17)**2/4
Suppose 5*p**5/6 + 85*p**4/6 - 145*p**3/3 + 100*p**2/3 = 0. What is p?
-20, 0, 1, 2
Let 2*x**2/3 - 1144*x/3 + 163592/3 = 0. Calculate x.
286
Factor -w**2 - 1525*w.
-w*(w + 1525)
Determine t so that -2*t**5/19 - 70*t**4/19 - 572*t**3/19 + 792*t**2/19 + 1296*t/19 = 0.
-18, -1, 0, 2
Factor -3*j**3 - 129*j**2 - 249*j - 123.
-3*(j + 1)**2*(j + 41)
Factor 3*c**5 - 21*