3 - 1922450*b**2 + 1929625*b - 644405.
5*(b - 1)**3*(b + 359)**2
Let 3*k**3 + 9*k**2 - 12 = 0. Calculate k.
-2, 1
Factor 3*g**2 - 3156*g.
3*g*(g - 1052)
Let 2*m**3 + 818*m**2 - 2*m - 818 = 0. Calculate m.
-409, -1, 1
Factor -16*t**2/5 - t/10.
-t*(32*t + 1)/10
Factor -4*j**2/7 - 11272*j/7 - 7941124/7.
-4*(j + 1409)**2/7
Find r, given that -2*r**3/11 - 124*r**2/11 - 240*r/11 = 0.
-60, -2, 0
Let a**3/3 - 29*a**2/3 - 166*a/3 - 136/3 = 0. What is a?
-4, -1, 34
Factor 2*x**3 + 28*x**2 + 50*x + 24.
2*(x + 1)**2*(x + 12)
Let -w**2/2 + 5*w + 551/2 = 0. Calculate w.
-19, 29
Find k such that -5*k**5 - 145*k**4 - 975*k**3 - 1375*k**2 + 2500*k = 0.
-20, -5, 0, 1
Solve -2*n**5/9 + 20*n**4/9 - 8*n**3 + 116*n**2/9 - 86*n/9 + 8/3 = 0 for n.
1, 3, 4
Factor t**2/5 + 54*t/5 + 729/5.
(t + 27)**2/5
Factor -2*g**2/11 - 68*g/11 - 570/11.
-2*(g + 15)*(g + 19)/11
Find z such that -23763*z**4 - 48594*z**3 - 25911*z**2 - 1092*z - 12 = 0.
-1, -2/89
Solve o**5 - 15*o**4 + 38*o**3 - 24*o**2 = 0 for o.
0, 1, 2, 12
Solve p**5/2 - 6*p**4 - 37*p**3/2 + 62*p**2 + 18*p - 56 = 0 for p.
-4, -1, 1, 2, 14
Suppose -21*y**3/2 + 33*y**2 + 75*y/2 - 6 = 0. What is y?
-1, 1/7, 4
Factor 2*j**4/7 + 6*j**3 + 40*j**2/7.
2*j**2*(j + 1)*(j + 20)/7
Factor -w**4 + 762*w**3 - 145161*w**2.
-w**2*(w - 381)**2
Factor 22*n**2/13 + 2*n + 4/13.
2*(n + 1)*(11*n + 2)/13
Let m**5 - 26*m**4/7 + 13*m**3/7 + 34*m**2/7 - 20*m/7 - 8/7 = 0. Calculate m.
-1, -2/7, 1, 2
Suppose s**5 - 2*s**4 - 3*s**3 + 4*s**2 + 4*s = 0. What is s?
-1, 0, 2
Find k, given that -2*k**2 - 20*k - 48 = 0.
-6, -4
Factor 116*q**3 + 340*q**2 - 1184*q + 80.
4*(q - 2)*(q + 5)*(29*q - 2)
Determine y so that y**3/2 - 109*y**2/2 + 212*y - 210 = 0.
2, 105
Factor 12*o**3 - 873*o**2 + 1485*o + 426.
3*(o - 71)*(o - 2)*(4*o + 1)
Determine i so that -i**3/4 - 7*i**2/2 - 16*i - 24 = 0.
-6, -4
Factor -3*p**2 - 26826*p - 59969523.
-3*(p + 4471)**2
Suppose 3*i**4/4 - 57*i**3/2 = 0. Calculate i.
0, 38
Let 4*h**3 + 27*h**2 + 17*h - 6 = 0. What is h?
-6, -1, 1/4
Find x, given that 33*x**3 - 12*x**2 - 132*x + 48 = 0.
-2, 4/11, 2
Let 196*g**5/5 + 1428*g**4/5 + 628*g**3 + 476*g**2 + 504*g/5 + 32/5 = 0. Calculate g.
-4, -2, -1, -1/7
Determine o, given that 3*o**2/5 - 96*o/5 = 0.
0, 32
Let w**4/2 + w**3 - 54*w**2 + 108*w + 432 = 0. Calculate w.
-12, -2, 6
Factor 2*y**2 - 114*y.
2*y*(y - 57)
What is s in -4*s**2 + 24*s - 32 = 0?
2, 4
Determine a so that 14*a**5/17 + 206*a**4/17 - 62*a**3 + 1586*a**2/17 - 904*a/17 + 152/17 = 0.
-19, 2/7, 1, 2
Find o, given that -2*o**2 + 348*o - 15138 = 0.
87
Find h such that 64*h**5 - 2272*h**4 - 444*h**3 + 408780*h**2 + 609984*h + 228096 = 0.
-11, -3/4, 24
Determine u so that -2*u**3 - 204*u**2 - 6936*u - 78608 = 0.
-34
Find l such that -l**3/2 + 3*l**2 - 11*l/2 + 3 = 0.
1, 2, 3
Factor d**4/5 - 34*d**3/5 + 32*d**2/5 + 34*d/5 - 33/5.
(d - 33)*(d - 1)**2*(d + 1)/5
Factor m**3 - 29*m**2 + 80*m - 52.
(m - 26)*(m - 2)*(m - 1)
Factor -4*n**2/3 + 460*n/3 - 4576/3.
-4*(n - 104)*(n - 11)/3
Factor y**5/5 - 2*y**4/5 - 3*y**3/5 + 4*y**2/5 + 4*y/5.
y*(y - 2)**2*(y + 1)**2/5
Solve -3*d**2/2 + 288*d - 570 = 0.
2, 190
Factor -2*q**3/9 - 116*q**2/9 + 490*q/9 - 124/3.
-2*(q - 3)*(q - 1)*(q + 62)/9
Factor z**2 + 13*z/4 + 5/2.
(z + 2)*(4*z + 5)/4
Determine p so that -2*p**2/9 - 22*p/9 + 8/3 = 0.
-12, 1
Find t such that -5*t**5/4 - 170*t**4 - 24445*t**3/4 - 45215*t**2/2 - 27555*t - 10890 = 0.
-66, -2, -1
Solve a**3/2 - 13*a**2 + 169*a/2 = 0.
0, 13
Factor 4*w**3 + 48*w**2 - 52*w.
4*w*(w - 1)*(w + 13)
Solve -u**5/5 - u**4/5 + 3*u**3/5 + u**2 + 2*u/5 = 0.
-1, 0, 2
Factor 2*d**3/9 + 4228*d**2/9.
2*d**2*(d + 2114)/9
Find j, given that 5*j**5 - 25*j**4 - 35*j**3 + 265*j**2 - 90*j - 360 = 0.
-3, -1, 2, 3, 4
Solve -2*n**4 - 76*n**3/5 - 88*n**2/5 + 48*n/5 = 0 for n.
-6, -2, 0, 2/5
Let -4*s**4 - 36*s**3 - 44*s**2 + 84*s = 0. What is s?
-7, -3, 0, 1
Solve -5*k**5 + 270*k**3 + 1060*k**2 + 1335*k + 540 = 0.
-4, -3, -1, 9
Let r**2 - 244*r + 243 = 0. What is r?
1, 243
Find x such that -x**3 + 9*x**2 + x - 9 = 0.
-1, 1, 9
Let -2*w**3/9 + 4*w**2/3 + 2*w - 28/9 = 0. What is w?
-2, 1, 7
Factor 3*g**3 - 177*g**2 + 1881*g + 22869.
3*(g - 33)**2*(g + 7)
Suppose -3*m**3 + 1368*m**2 + 4131*m = 0. What is m?
-3, 0, 459
Factor 3*o**2 + 135*o.
3*o*(o + 45)
Factor -33*u**4 + 78*u**3 - 57*u**2 + 12*u.
-3*u*(u - 1)**2*(11*u - 4)
Factor -11*w**2/3 + 30*w - 48.
-(w - 6)*(11*w - 24)/3
Factor 12*f**4 - 87*f**3 + 93*f**2 - 18*f.
3*f*(f - 6)*(f - 1)*(4*f - 1)
Factor -14*t**3 + 1604*t**2 + 690*t.
-2*t*(t - 115)*(7*t + 3)
Determine k so that 3*k**3 - 15*k**2 + 9*k + 27 = 0.
-1, 3
Find n, given that -2*n**3/7 - 136*n**2/7 - 618*n/7 + 108 = 0.
-63, -6, 1
Determine g, given that g**2/5 + 13*g/5 = 0.
-13, 0
Factor 196*g**4/5 - 21252*g**3/5 - 12192*g**2/5 - 1744*g/5.
4*g*(g - 109)*(7*g + 2)**2/5
Factor -2*z**5 - 38*z**4 - 278*z**3 - 970*z**2 - 1600*z - 1000.
-2*(z + 2)**2*(z + 5)**3
Factor -2*o**2/13 + 436*o/13 + 438/13.
-2*(o - 219)*(o + 1)/13
Factor -5*r**2 - 335*r + 340.
-5*(r - 1)*(r + 68)
Find p such that -105*p**5 - 363*p**4 + 747*p**3 - 309*p**2 + 30*p = 0.
-5, 0, 1/7, 2/5, 1
Solve -8*d**3/7 - 26*d**2/7 - 6*d/7 = 0.
-3, -1/4, 0
Factor 4*b**4 - 8*b**3 - 16*b**2 + 8*b + 12.
4*(b - 3)*(b - 1)*(b + 1)**2
Factor 2*i**3/9 - 74*i**2/9 + 68*i/9 + 16.
2*(i - 36)*(i - 2)*(i + 1)/9
Find f, given that -2*f**3/15 + 46*f**2/15 - 16*f = 0.
0, 8, 15
Let -2590*m**5 + 2092*m**4 + 3092*m**3 - 2096*m**2 - 502*m + 4 = 0. What is m?
-1, -1/5, 2/259, 1
Factor -4*c**3/3 - 1612*c**2/3 - 54404*c - 53868.
-4*(c + 1)*(c + 201)**2/3
Suppose -5*v**3 - 600*v**2 - 4560*v - 8960 = 0. What is v?
-112, -4
Factor -2*c**2 - 2316*c.
-2*c*(c + 1158)
Factor -2*w**4 + 22*w**3 - 30*w**2 - 54*w.
-2*w*(w - 9)*(w - 3)*(w + 1)
Factor 4*i**3 + 180*i**2 + 1728*i - 6912.
4*(i - 3)*(i + 24)**2
Let r**2/2 + 65*r + 129/2 = 0. Calculate r.
-129, -1
Let 4*i**4/3 - 104*i**3/3 - 224*i**2/3 = 0. Calculate i.
-2, 0, 28
Factor -3*n**2/4 - 1161*n/2 - 449307/4.
-3*(n + 387)**2/4
Solve -3*n**3 - 33*n**2 - 90*n = 0.
-6, -5, 0
Factor x**4/5 + 21*x**3/5 - 97*x**2/5 + 15*x.
x*(x - 3)*(x - 1)*(x + 25)/5
What is c in 3*c**5/4 - 15*c**4/4 + 3*c**3 + 12*c**2 - 24*c + 12 = 0?
-2, 1, 2
Factor -5*l**4 - 35*l**3 - 75*l**2 - 45*l.
-5*l*(l + 1)*(l + 3)**2
Let -v**2/7 - 120*v/7 = 0. What is v?
-120, 0
Solve 2*c**5/11 + 20*c**4/11 + 4*c**3 + 8*c**2/11 - 46*c/11 - 28/11 = 0 for c.
-7, -2, -1, 1
Find j, given that -2*j**3/7 - 22*j**2/7 + 80*j/7 - 8 = 0.
-14, 1, 2
Solve 6*j**3/5 + 258*j**2/5 + 228*j = 0.
-38, -5, 0
Factor -v**4/7 + 19*v**3/7 - 10*v**2.
-v**2*(v - 14)*(v - 5)/7
Factor p**3/3 + 1612*p**2/3 + 651245*p/3 + 1296050/3.
(p + 2)*(p + 805)**2/3
Solve -4*y**3 - 2208*y**2 - 4404*y - 2200 = 0.
-550, -1
Determine j so that j**4 - 2*j**3 = 0.
0, 2
Factor a**4/4 + 13*a**3/2 - 82*a**2 + 280*a - 288.
(a - 4)**2*(a - 2)*(a + 36)/4
Let -2*v**4/7 + 2*v**3 + 12*v**2/7 - 144*v/7 = 0. What is v?
-3, 0, 4, 6
Factor t**3/8 + t**2/4 - 9*t/8 - 9/4.
(t - 3)*(t + 2)*(t + 3)/8
Determine i, given that -2*i**4/9 + 26*i**3/9 - 26*i**2/9 - 26*i + 44 = 0.
-3, 2, 3, 11
Solve -k**2/3 - 8*k/3 + 35 = 0 for k.
-15, 7
What is m in -5*m**4 + 25*m**3 + 65*m**2 + 35*m = 0?
-1, 0, 7
Find g, given that 125*g**2/2 - 133*g/2 + 4 = 0.
8/125, 1
Suppose w**3 - 3*w**2/2 = 0. What is w?
0, 3/2
Solve -w**5 - 28*w**4 - 218*w**3 - 260*w**2 + 507*w = 0.
-13, -3, 0, 1
Suppose -3*r**2/2 + 3*r/2 + 9 = 0. Calculate r.
-2, 3
Determine g so that g**2/7 + 24*g/7 + 144/7 = 0.
-12
Factor 2*l**2/7 + 128*l - 898/7.
2*(l - 1)*(l + 449)/7
Solve -3*h**5/2 - 27*h**4/8 + 27*h**3/8 + 6*h**2 - 9*h/2 = 0.
-2, 0, 3/4, 1
Let 3*x**4/2 + 12*x**3 - 183*x**2/2 + 78*x = 0. Calculate x.
-13, 0, 1, 4
Factor -2*s**3/5 + 8*s**2 - 106*s/5 + 68/5.
-2*(s - 17)*(s - 2)*(s - 1)/5
Factor 2*r**4/5 + 112*r**3/5 - 114*r**2/5.
2*r**2*(r - 1)*(r + 57)/5
Find t, given that -t**2/10 - 2*t/5 + 1/2 = 0.
-5, 1
Factor 18*t**2/5 + 16*t.
2*t*(9*t + 40)/5
Factor -4*r**2/5 + 252*r/5 - 1568/5.
-4*(r - 56)*(r - 7)/5
Factor 2*m**4 + 32*m**3 + 174*m**2 + 368*m + 224.
2*(m + 1)*(m + 4)**2*(m + 7)
Factor -3*u**4 - 30*u**3 - 75*u**2.
-3*u**2*(u + 5)**2
Factor -h**2 + 2308*h - 1331716.
-(h - 1154)**2
Determine p, given that 1682*p**2/9 - 2320*p/9 + 800/9 = 0.
20/29
Factor 2*h**4/5 + 94*h**3/5 + 702*h**2/5 - 10206*h/5.
2*h*(h - 7)*(h + 27)**2/5
Suppose -5*o*