 b, given that -98*b**2/3 + 28*b - 6 = 0.
3/7
Factor n**4 - 37*n**3/4 + 69*n**2/4 + 85*n/4 - 25/4.
(n - 5)**2*(n + 1)*(4*n - 1)/4
Factor -4*z**4 - 16*z**3 + 4*z**2 + 16*z.
-4*z*(z - 1)*(z + 1)*(z + 4)
Factor -5*z**2 - 315*z - 900.
-5*(z + 3)*(z + 60)
Factor -3*x**3/4 + 21*x**2/2 - 147*x/4.
-3*x*(x - 7)**2/4
Find z, given that -5*z**2 + 230*z = 0.
0, 46
Solve 10*p**5 - 25*p**4 - 270*p**3 - 320*p**2 + 20*p + 105 = 0 for p.
-3, -1, 1/2, 7
Find q such that 2*q**2 - 52*q + 336 = 0.
12, 14
Factor -z**2/2 + 299*z.
-z*(z - 598)/2
Factor 7*l**3/11 + 6*l**2 - 225*l/11 - 108/11.
(l - 3)*(l + 12)*(7*l + 3)/11
Factor 2*f**2 - 508*f + 506.
2*(f - 253)*(f - 1)
Determine y, given that -2*y**2/11 + 278*y/11 + 280/11 = 0.
-1, 140
Factor -2*f**2/11 - 26*f/11.
-2*f*(f + 13)/11
Factor r**2/3 + 8*r/3 + 16/3.
(r + 4)**2/3
Factor 5*o**2 - 90*o + 85.
5*(o - 17)*(o - 1)
Factor g**3/8 + 5*g**2/4 + 17*g/8 + 1.
(g + 1)**2*(g + 8)/8
Factor 21*y**4 - 264*y**3 + 879*y**2 - 420*y.
3*y*(y - 7)*(y - 5)*(7*y - 4)
Factor -3*h**2 + 588.
-3*(h - 14)*(h + 14)
Factor b**3/6 - 67*b**2/2 + 4489*b/2 - 300763/6.
(b - 67)**3/6
Find f, given that -3*f**2 - 21*f + 24 = 0.
-8, 1
Solve -12*k**2 - 470*k/13 + 76/13 = 0 for k.
-19/6, 2/13
Factor 54*i**3 - 147*i**2/4 - 35*i/2 + 1/4.
(i - 1)*(3*i + 1)*(72*i - 1)/4
Factor -289*i**4/2 + 1207*i**3 - 5449*i**2/2 + 852*i - 72.
-(i - 4)**2*(17*i - 3)**2/2
Suppose 5*l**4/3 + 32*l**3/3 + 52*l**2/3 + 16*l/3 = 0. What is l?
-4, -2, -2/5, 0
Factor 4*i**2 - 52*i + 48.
4*(i - 12)*(i - 1)
Find q, given that -4*q**2 + 23040*q - 33177600 = 0.
2880
Let -b**2 - 10*b - 24 = 0. What is b?
-6, -4
Factor 2*u**3 + 958*u**2 + 114240*u - 115200.
2*(u - 1)*(u + 240)**2
Factor -20*h**2/3 + 368*h/3 - 48.
-4*(h - 18)*(5*h - 2)/3
Suppose z**4/5 + 84*z**3/5 + 2118*z**2/5 + 14356*z/5 + 12321/5 = 0. Calculate z.
-37, -9, -1
Factor 4*f**5/7 - 8*f**4/7 - 16*f**3/7 + 32*f**2/7.
4*f**2*(f - 2)**2*(f + 2)/7
Factor j**5/3 + 10*j**4/3 + 8*j**3 - 32*j**2/3 - 128*j/3.
j*(j - 2)*(j + 4)**3/3
Let 5*o**4/6 - 95*o**3/6 + 125*o**2/3 - 80*o/3 = 0. Calculate o.
0, 1, 2, 16
Let 14*h**5/5 + 466*h**4/5 - 598*h**3 + 1006*h**2 - 1584*h/5 - 936/5 = 0. Calculate h.
-39, -2/7, 1, 2, 3
Let i**3/5 + 110*i**2 + 15125*i = 0. Calculate i.
-275, 0
Suppose -2*s**2 + 288*s - 1390 = 0. Calculate s.
5, 139
Find d such that -2*d**4/25 - 6*d**3/5 + 166*d**2/25 + 246*d/25 - 76/5 = 0.
-19, -2, 1, 5
Factor -2*s**4/5 + 504*s**3/5 - 30728*s**2/5 - 129024*s/5 - 131072/5.
-2*(s - 128)**2*(s + 2)**2/5
Factor 3*n**2 - 3.
3*(n - 1)*(n + 1)
Factor 3*b**3 - 2500*b**2 + 5811*b + 4986.
(b - 831)*(b - 3)*(3*b + 2)
Factor b**2 + 43*b - 44.
(b - 1)*(b + 44)
Find y such that 30*y**4 - 1325*y**3 - 1120*y**2 - 225*y = 0.
-1/2, -1/3, 0, 45
Determine r, given that 2*r**2 - 98*r - 204 = 0.
-2, 51
Factor -4*i**2 + 36.
-4*(i - 3)*(i + 3)
Solve -5*p**2 - 2235*p - 2230 = 0.
-446, -1
Determine q, given that -3*q**3/8 - 63*q**2/4 - 123*q/8 = 0.
-41, -1, 0
Suppose -800*h**3 - 1520*h**2 - 952*h - 196 = 0. Calculate h.
-7/10, -1/2
Find r, given that 98*r**2/3 - 1288*r/3 + 4232/3 = 0.
46/7
Factor k**4 - 10*k**3 + 33*k**2 - 40*k + 16.
(k - 4)**2*(k - 1)**2
Suppose -d**4/2 + 3*d**3 - d**2/2 - 12*d - 8 = 0. What is d?
-1, 4
Find s such that 2*s**3/11 - 2612*s**2/11 + 2610*s/11 = 0.
0, 1, 1305
Factor 2*h**2/3 + 34*h/3 - 220/3.
2*(h - 5)*(h + 22)/3
Factor 3*r**4 - 18*r**2 - 24*r - 9.
3*(r - 3)*(r + 1)**3
Find z such that -6*z**3/5 + 12*z**2 + 318*z/5 + 252/5 = 0.
-3, -1, 14
Suppose -5*y**3 + 195*y**2 + 1880*y = 0. What is y?
-8, 0, 47
Let -r**3/4 + r**2/4 + 4*r - 4 = 0. What is r?
-4, 1, 4
Suppose 20*l**4/3 + 382*l**3/9 + 674*l**2/9 + 70*l/3 + 2 = 0. What is l?
-3, -1/5, -1/6
Let -3*m**2 + 7782*m - 5046627 = 0. Calculate m.
1297
Find a, given that 9*a**4/5 - 141*a**3/5 + 81*a**2/5 + 141*a/5 - 18 = 0.
-1, 2/3, 1, 15
Solve -4*z**3/5 - 264*z**2/5 - 4608*z/5 - 24192/5 = 0 for z.
-42, -12
Determine q so that 4*q**5 + 24*q**4 - 256*q**3 - 72*q**2 + 3132*q - 4752 = 0.
-11, -4, 3
Factor v**3/9 - 7421*v**2/9 + 4588033*v/3 + 1530169.
(v - 3711)**2*(v + 1)/9
Suppose 2*m**4/9 - 8*m**3/3 - 40*m**2/3 - 128*m/9 = 0. Calculate m.
-2, 0, 16
Determine s so that s**2/2 - 543*s + 294849/2 = 0.
543
Solve -2*z**2/3 - 820*z/3 - 544 = 0 for z.
-408, -2
Factor -t**4/7 - 19*t**3/7 + 64*t**2/7 - 44*t/7.
-t*(t - 2)*(t - 1)*(t + 22)/7
Factor 115*s**2/3 + 125*s/3 + 10/3.
5*(s + 1)*(23*s + 2)/3
Factor -4*b**4 - 40*b**3 + 244*b**2 + 280*b.
-4*b*(b - 5)*(b + 1)*(b + 14)
Suppose -2*r**3/13 - 58*r**2/13 - 448*r/13 - 392/13 = 0. Calculate r.
-14, -1
Suppose 2*n**4/9 - 22*n**3/9 - 68*n**2/3 = 0. What is n?
-6, 0, 17
Factor -h**4 - 71*h**3 + 145*h**2 - 73*h.
-h*(h - 1)**2*(h + 73)
Factor 4*c**2 - 77*c + 19.
(c - 19)*(4*c - 1)
Factor 28*c**4 + 64*c**3 + 44*c**2 + 8*c.
4*c*(c + 1)**2*(7*c + 2)
Factor -d**3/6 + 6*d**2 + 2*d/3 - 24.
-(d - 36)*(d - 2)*(d + 2)/6
Determine d so that 25*d**4/8 + 105*d**3/4 - 179*d**2/8 - 651*d/2 + 961/2 = 0.
-31/5, 2
Determine d so that -2*d**4/5 + 34*d**3/5 + 98*d**2/5 - 394*d/5 - 456/5 = 0.
-4, -1, 3, 19
What is l in -3*l**3 - 6*l**2 + 63*l - 54 = 0?
-6, 1, 3
Find j, given that 2*j**3/5 - 168*j**2/5 - 2*j/5 + 168/5 = 0.
-1, 1, 84
Factor -4*a**2/17 + 10*a/17 + 6/17.
-2*(a - 3)*(2*a + 1)/17
Factor 2*a**3/3 + 138*a**2 + 9522*a + 219006.
2*(a + 69)**3/3
Factor -t**2 + 7*t + 44.
-(t - 11)*(t + 4)
Factor -5*q**3 - 6750*q**2 + 6765*q + 13510.
-5*(q - 2)*(q + 1)*(q + 1351)
Suppose -4*i**2/7 + 1380*i/7 - 4104/7 = 0. What is i?
3, 342
What is h in -h**2/2 - 195*h/2 + 98 = 0?
-196, 1
Suppose -t**3/3 - 248*t**2/3 - 493*t/3 - 82 = 0. What is t?
-246, -1
Factor 4*f**2/3 + 8*f/3.
4*f*(f + 2)/3
Suppose 2*d**3 - 954*d**2 + 113286*d + 114242 = 0. What is d?
-1, 239
Let 2*s**3/3 - 110*s**2/3 = 0. Calculate s.
0, 55
Factor 15*m**3 - 220*m**2 + 135*m + 70.
5*(m - 14)*(m - 1)*(3*m + 1)
Determine z, given that 3*z**4/2 - 54*z**3 + 969*z**2/2 + 54*z - 486 = 0.
-1, 1, 18
Solve k**4/3 + k**3 - k**2 - 11*k/3 - 2 = 0 for k.
-3, -1, 2
Determine j so that 4*j**5 + 8*j**4 - 4*j**3 - 8*j**2 = 0.
-2, -1, 0, 1
Suppose i**3/8 + 7*i**2/4 + 51*i/8 + 27/4 = 0. Calculate i.
-9, -3, -2
Factor -5*b**4 + 20*b**3 - 20*b**2.
-5*b**2*(b - 2)**2
Factor -2*i**4/7 - 106*i**3/7 - 208*i**2 - 1352*i/7.
-2*i*(i + 1)*(i + 26)**2/7
Find u such that -2*u**2/7 + 10*u - 528/7 = 0.
11, 24
Factor v**4/4 - 15*v**3/4 - v**2 + 15*v.
v*(v - 15)*(v - 2)*(v + 2)/4
Let -2*o**3/5 - 8*o**2 + 2*o/5 + 8 = 0. What is o?
-20, -1, 1
Find r such that 224*r**4 - 806*r**3 - 474*r**2 + 476*r - 80 = 0.
-1, 2/7, 5/16, 4
Let 2*o**2/21 - 52*o/21 + 10 = 0. What is o?
5, 21
Solve 2*l**2/3 - 22*l/3 - 8 = 0 for l.
-1, 12
Solve -5*k**5 - 70*k**4 - 50*k**3 + 200*k**2 + 55*k - 130 = 0 for k.
-13, -2, -1, 1
Suppose 3*j**3/5 + 8*j**2/5 - j/5 - 2 = 0. Calculate j.
-2, -5/3, 1
Determine p so that -p**2/4 + 73*p/4 - 71/2 = 0.
2, 71
What is q in 40*q**5 - 34*q**4 - 10*q**3 + 4*q**2 = 0?
-2/5, 0, 1/4, 1
Factor -w**3 - 13*w**2 - 44*w - 32.
-(w + 1)*(w + 4)*(w + 8)
Factor -3*w**2 + 1128*w - 106032.
-3*(w - 188)**2
Let -f**3/4 - 9*f**2/4 - 6*f - 5 = 0. Calculate f.
-5, -2
Factor 6*z**2/7 - 54/7.
6*(z - 3)*(z + 3)/7
What is w in 4*w**5 + 36*w**4 + 32*w**3 = 0?
-8, -1, 0
Factor z**3/6 - 139*z**2/3 + 550*z/3 - 548/3.
(z - 274)*(z - 2)**2/6
Find y such that y**2/7 - 11*y/7 = 0.
0, 11
Factor 3*v**2 + 123*v - 258.
3*(v - 2)*(v + 43)
Factor -2*y**4 - 254*y**3 + 260*y**2 + 512*y.
-2*y*(y - 2)*(y + 1)*(y + 128)
Solve -b**4/3 - 2*b**3/3 + 5*b**2 + 32*b/3 + 16/3 = 0 for b.
-4, -1, 4
Factor -3*o**3/2 + 21*o**2/2 - 24*o + 18.
-3*(o - 3)*(o - 2)**2/2
Factor -3*i**4/5 + 27*i**3/5 - 12*i**2 + 36*i/5.
-3*i*(i - 6)*(i - 2)*(i - 1)/5
Suppose -15*h**4 + 7458*h**3 - 924036*h**2 - 745506*h + 186003 = 0. Calculate h.
-1, 1/5, 249
Find w, given that -3*w**4/5 - 9*w**3 + 243*w**2/5 + 6561*w/5 + 26244/5 = 0.
-9, 12
Factor 3*d**5 - 3*d**4 - 33*d**3 + 87*d**2 - 78*d + 24.
3*(d - 2)*(d - 1)**3*(d + 4)
Factor -3362*g**4/17 + 7380*g**3/17 - 4706*g**2/17 + 720*g/17 - 32/17.
-2*(g - 1)**2*(41*g - 4)**2/17
What is k in 441*k**4/4 + 1659*k**3/4 - 117*k**2 - 45*k + 12 = 0?
-4, -1/3, 2/7
Factor -2*a**5 - 2*a**4 + 4*a**3 + 4*a**2 - 2*a - 2.
-2*(a - 1)**2*(a + 1)**3
Find t, given that 15*t**4 + 65*t**3 + 95*t**2 + 55*t + 10 = 0.
-2, -1, -1/3
Factor w**3 + 168*w**2/5 + 1377*w/5 - 578/5.
(w + 