 2*v**3/17 - 462*v**2/17 - 930*v/17 - 466/17.
2*(v - 233)*(v + 1)**2/17
Factor 16*h**4 - 52*h**3 + 60*h**2 - 28*h + 4.
4*(h - 1)**3*(4*h - 1)
Factor -2*l**3 - 36*l**2 + 270*l - 432.
-2*(l - 3)**2*(l + 24)
Solve 3*n**3/4 - 13*n**2/4 + 13*n/4 - 3/4 = 0 for n.
1/3, 1, 3
Factor 4*i**2 + 27336*i + 46703556.
4*(i + 3417)**2
Find i such that 10*i**4/21 - 18*i**3/7 + 40*i**2/21 + 24*i/7 - 32/21 = 0.
-1, 2/5, 2, 4
Factor c**3/5 - 18*c**2/5 - 63*c/5.
c*(c - 21)*(c + 3)/5
Let 20480*d**4 - 111360*d**3 - 66960*d**2 - 12825*d - 810 = 0. What is d?
-3/16, 6
Suppose -3*a**2 - 4314*a - 1550883 = 0. Calculate a.
-719
Factor 2*h**5 - 222*h**4 + 7972*h**3 - 82840*h**2 - 363888*h + 438976.
2*(h - 38)**3*(h - 1)*(h + 4)
Factor 5*i**4 - 85*i**3 + 315*i**2 + 405*i.
5*i*(i - 9)**2*(i + 1)
Determine i so that 3*i**2 - 2586*i + 557283 = 0.
431
What is l in -3*l**2 + 1173*l + 1176 = 0?
-1, 392
Factor -2*f**3 + 226*f**2 - 446*f + 222.
-2*(f - 111)*(f - 1)**2
Find t, given that -t**2/6 + 23*t/6 = 0.
0, 23
Solve -3*y**2 + 276*y - 6348 = 0 for y.
46
Factor 2*m**5/9 + 10*m**4/9 - 28*m**3/9 + 4*m**2/9 + 26*m/9 - 14/9.
2*(m - 1)**3*(m + 1)*(m + 7)/9
Let -p**5/8 + 9*p**3/8 + p**2/2 - 3*p/2 = 0. Calculate p.
-2, 0, 1, 3
Suppose c**3 + 40*c**2 + 372*c + 1008 = 0. What is c?
-28, -6
Solve -d**2/2 - 66*d - 2178 = 0 for d.
-66
Suppose -3*a**3 - 16761*a**2 - 23419305*a - 23402547 = 0. Calculate a.
-2793, -1
Factor -5*u**3/2 + 95*u**2/2 - 415*u/2 + 325/2.
-5*(u - 13)*(u - 5)*(u - 1)/2
Determine b so that 3*b**5/8 + 3*b**4 + 39*b**3/8 + 9*b**2/4 = 0.
-6, -1, 0
Determine k, given that 3*k**3 + 114*k**2 + 507*k + 396 = 0.
-33, -4, -1
Suppose 8*m**3/7 + 44*m**2/7 - 80*m/7 + 4 = 0. Calculate m.
-7, 1/2, 1
Factor 34*p**2/9 - 158*p/9.
2*p*(17*p - 79)/9
Factor g**2 - 50*g + 184.
(g - 46)*(g - 4)
Factor -b**3/4 + 3*b**2/2.
-b**2*(b - 6)/4
Factor z**3/3 - z**2 - 10*z/3.
z*(z - 5)*(z + 2)/3
Solve 2*f**5 + 20*f**4 - 32*f**3 - 116*f**2 - 66*f = 0.
-11, -1, 0, 3
Determine h so that -61*h**2/3 - 547*h/3 + 6 = 0.
-9, 2/61
Factor h**3/6 + 134*h**2/3 - 275*h/6 - 269.
(h - 3)*(h + 2)*(h + 269)/6
Solve m**5/5 - m**4 + 2*m**3 - 2*m**2 + m - 1/5 = 0 for m.
1
Find i, given that -5*i**2 - 565*i - 560 = 0.
-112, -1
Factor -2*c**3/7 - 18*c**2/7 - 30*c/7 - 2.
-2*(c + 1)**2*(c + 7)/7
Factor 3*p**2/8 + 579*p/2 + 111747/2.
3*(p + 386)**2/8
Find j such that -3*j**5 - 51*j**4 + 486*j**3 - 432*j**2 = 0.
-24, 0, 1, 6
Factor 10*f**3 - 14*f**2 - 416*f + 168.
2*(f - 7)*(f + 6)*(5*f - 2)
Factor -9*y**3 - 19*y**2 - 2*y.
-y*(y + 2)*(9*y + 1)
Factor 9*v**4 - 51*v**3 + 57*v**2 + 63*v - 54.
3*(v - 3)**2*(v + 1)*(3*v - 2)
Factor -w**4 - 15*w**3 - 38*w**2 - 24*w.
-w*(w + 1)*(w + 2)*(w + 12)
Solve -30*u**2 - 56*u - 26 = 0.
-1, -13/15
Let 2*p**5/3 + 14*p**4 + 80*p**3 + 200*p**2/3 = 0. Calculate p.
-10, -1, 0
Factor -3*d**3 - 120*d**2 + 261*d + 378.
-3*(d - 3)*(d + 1)*(d + 42)
Find x such that 2*x**5 - 12*x**4 - 68*x**3 - 112*x**2 - 78*x - 20 = 0.
-1, 10
Suppose -9*y**5/7 - 69*y**4/7 + 537*y**3/7 - 153*y**2 + 768*y/7 - 156/7 = 0. Calculate y.
-13, 1/3, 1, 2
Factor -g**2/4 + 5*g/4 - 1.
-(g - 4)*(g - 1)/4
Factor 4*r**3 - 1932*r**2 - 4*r + 1932.
4*(r - 483)*(r - 1)*(r + 1)
Factor 3*i**3 - 66*i**2 - 237*i + 300.
3*(i - 25)*(i - 1)*(i + 4)
Factor -2*w**2/5 + 592*w/5.
-2*w*(w - 296)/5
Solve 2*n**2/3 - 62*n/3 + 116/3 = 0 for n.
2, 29
Suppose 4*q**4 + 100*q**3 - 448*q**2 + 464*q = 0. Calculate q.
-29, 0, 2
Suppose -2*z**3 + 90*z**2 + 188*z = 0. What is z?
-2, 0, 47
Suppose 2*j**5 - 32*j**4 + 170*j**3 - 308*j**2 - 64*j + 448 = 0. Calculate j.
-1, 2, 4, 7
What is d in -d**5 - 3*d**4 + 16*d**3 + 88*d**2 + 144*d + 80 = 0?
-2, 5
Suppose 4*s**2 - 124*s + 432 = 0. Calculate s.
4, 27
Factor -2*q**4 - 384*q**3 - 18810*q**2 - 36100*q.
-2*q*(q + 2)*(q + 95)**2
Factor -n**2/9 - 71*n/9 + 146/9.
-(n - 2)*(n + 73)/9
Factor -f**4 + 6*f**3 - 5*f**2.
-f**2*(f - 5)*(f - 1)
Find t such that 35*t**4 - 535*t**3 - 12170*t**2 - 8240*t + 3360 = 0.
-12, -1, 2/7, 28
Factor 32*a**2 - 5904*a + 272322.
2*(4*a - 369)**2
Let -p**4/3 + 13*p**3/3 - 11*p**2/3 - 13*p/3 + 4 = 0. What is p?
-1, 1, 12
Factor s**4 + 2*s**3 - 4*s**2 - 8*s.
s*(s - 2)*(s + 2)**2
Solve -n**2/3 - 68*n - 585 = 0.
-195, -9
Factor -3*w**5/7 - 24*w**4/7 - 9*w**3 - 54*w**2/7.
-3*w**2*(w + 2)*(w + 3)**2/7
Solve 5*z**5 + 130*z**4 - 5*z**3 - 130*z**2 = 0.
-26, -1, 0, 1
Factor 9*r**3 + 69*r**2 - 9*r - 69.
3*(r - 1)*(r + 1)*(3*r + 23)
Factor -z**4/4 + 5*z**3 - 39*z**2/2 - 55*z - 121/4.
-(z - 11)**2*(z + 1)**2/4
Solve 4*c**3/9 - 20*c**2/9 + 8*c/9 + 32/9 = 0 for c.
-1, 2, 4
Suppose 2*h**4 + 32*h**3 + 156*h**2 + 224*h + 98 = 0. What is h?
-7, -1
Factor z**3/7 + 528*z**2/7 + 92928*z/7 + 5451776/7.
(z + 176)**3/7
Factor 2*p**3/5 + 512*p**2/5 - 1054*p + 2660.
2*(p - 5)**2*(p + 266)/5
Determine n, given that -2*n**3/9 - 140*n**2/9 + 32*n = 0.
-72, 0, 2
Factor -3*g**3 + 15*g**2 + 27*g - 135.
-3*(g - 5)*(g - 3)*(g + 3)
Factor 3*q**4 + 9*q**3 - 12*q.
3*q*(q - 1)*(q + 2)**2
Suppose 5*o**5 + 763*o**4 - 311*o**3 - 763*o**2 + 306*o = 0. Calculate o.
-153, -1, 0, 2/5, 1
Solve 4*j**3 - 3632*j**2 + 820820*j + 1656200 = 0.
-2, 455
Suppose d**2/2 + 353*d/2 + 351 = 0. What is d?
-351, -2
Factor -l**5 + 21*l**3 - 20*l**2.
-l**2*(l - 4)*(l - 1)*(l + 5)
Suppose 2*z**2/13 - 126*z/13 + 244/13 = 0. What is z?
2, 61
Factor -15*h**4 + 55*h**3 - 25*h**2 - 15*h.
-5*h*(h - 3)*(h - 1)*(3*h + 1)
Factor u**3/2 + 19*u**2/2 + 35*u/2 + 17/2.
(u + 1)**2*(u + 17)/2
Determine c, given that 2*c**2/5 - 956*c/5 + 114242/5 = 0.
239
Factor 4*j**2 + 276*j + 272.
4*(j + 1)*(j + 68)
Solve -y**2 + 2*y + 8 = 0 for y.
-2, 4
Determine m so that -2*m**3/7 - 20*m**2/7 - 18*m/7 = 0.
-9, -1, 0
Find i, given that -2*i**5/5 - 128*i**4/5 - 2572*i**3/5 - 16432*i**2/5 - 5130*i - 11664/5 = 0.
-27, -8, -1
Solve -4*c**2 - 184*c - 672 = 0 for c.
-42, -4
Factor -p**2/2 + 113*p - 12769/2.
-(p - 113)**2/2
Solve -m**4/6 + 19*m**3/6 - 40*m**2/3 - 50*m/3 = 0.
-1, 0, 10
What is n in -9*n**5 - 33*n**4 + 21*n**3 + 33*n**2 - 12*n = 0?
-4, -1, 0, 1/3, 1
Find d, given that -d**3/4 - 25*d**2/4 - 69*d/2 - 54 = 0.
-18, -4, -3
Factor 2*m**4 + 34*m**3 + 162*m**2 + 14*m - 980.
2*(m - 2)*(m + 5)*(m + 7)**2
Solve -24*h**3/7 + 16*h**2/7 + 2*h = 0.
-1/2, 0, 7/6
Factor d**2 + 65*d - 66.
(d - 1)*(d + 66)
Suppose -2*y**2/21 - 22*y/21 - 8/3 = 0. What is y?
-7, -4
Suppose 4*o**3 + 4*o**2 - 32*o - 48 = 0. What is o?
-2, 3
Let 3*w**2/4 - 285*w/8 + 141/8 = 0. Calculate w.
1/2, 47
Factor -3*p**2/7 - 390*p/7 + 6525/7.
-3*(p - 15)*(p + 145)/7
Find u, given that -u**3 + 71*u**2 - 206*u + 136 = 0.
1, 2, 68
Solve -9*j**4/5 - 555*j**3 - 217113*j**2/5 - 98685*j - 140454/5 = 0 for j.
-153, -2, -1/3
Determine r so that 3*r**3 + 15*r**2 - 99*r + 81 = 0.
-9, 1, 3
Find r, given that -2*r**5/11 - 16*r**4/11 - 26*r**3/11 + 52*r**2/11 + 128*r/11 + 64/11 = 0.
-4, -1, 2
Factor 63*w**3/2 - 124*w**2 + 187*w/2 - 15.
(w - 3)*(7*w - 5)*(9*w - 2)/2
Find w, given that 3*w**5 - 399*w**4 + 13449*w**3 - 11097*w**2 - 64152*w - 39204 = 0.
-1, 3, 66
Factor 2*t**2 - 411*t + 409.
(t - 1)*(2*t - 409)
Let 5*f**5 + 55*f**4 + 85*f**3 - 55*f**2 - 90*f = 0. Calculate f.
-9, -2, -1, 0, 1
Find o, given that 2*o**3/3 - 440*o**2/3 + 3424*o/3 - 6784/3 = 0.
4, 212
What is u in 4*u**3 + 48*u**2 + 188*u + 240 = 0?
-5, -4, -3
Factor -2*y**4/3 - 2*y**3/3 + 8*y**2/3 + 8*y/3.
-2*y*(y - 2)*(y + 1)*(y + 2)/3
Factor -t**4 - 44*t**3 - 85*t**2 - 42*t.
-t*(t + 1)**2*(t + 42)
Find u such that u**2/8 - 23*u/8 + 21/4 = 0.
2, 21
Factor -15*d**2 - 85*d - 50.
-5*(d + 5)*(3*d + 2)
What is u in -2*u**3/7 + 30*u**2/7 + 66*u/7 + 34/7 = 0?
-1, 17
Let -5*y**4 - 29*y**3/2 + 5*y**2 + 23*y/2 + 3 = 0. What is y?
-3, -1/2, -2/5, 1
Factor 4*y**2 + 76*y + 72.
4*(y + 1)*(y + 18)
Factor -4*w**4 - 16*w**3 + 24*w**2 + 16*w - 20.
-4*(w - 1)**2*(w + 1)*(w + 5)
Suppose 2*u**4/13 + 4*u**3/13 - 18*u**2/13 - 4*u/13 + 16/13 = 0. What is u?
-4, -1, 1, 2
Factor -i**4/5 + 252*i**3/5 - 15102*i**2/5 - 97524*i/5 - 149769/5.
-(i - 129)**2*(i + 3)**2/5
Factor 4*r**4 - 272*r**3 - 556*r**2 - 280*r.
4*r*(r - 70)*(r + 1)**2
Factor -12*g**3 + 28*g**2 + 28*g - 12.
-4*(g - 3)*(g + 1)*(3*g - 1)
Factor o**3/9 + 3*o**2 - o/9 - 3.
(o - 1)*(o + 1)*(o + 27)/9
Find q such that -196*q**5 + 364*q**4 + 160*q**3 - 400*q**2 = 0.
-1, 0, 10/7
Determine p, given that -5*p**4 - 30*p**3 - 60*p**2 - 50*p - 15 = 0.
-3