 0 for a.
-1, -1/3, 2/3, 4
Factor 2*g**4/5 - 4*g**3/5 - 6*g**2/5.
2*g**2*(g - 3)*(g + 1)/5
Find m, given that 4*m**2/3 + 5548*m/3 - 3704 = 0.
-1389, 2
Determine h so that h**4/4 + 22*h**3 + 1751*h**2/4 - 2047*h + 1587 = 0.
-46, 1, 3
Factor -c**4 + 4*c**3 + 21*c**2 + 4*c - 28.
-(c - 7)*(c - 1)*(c + 2)**2
Let y**4 + 5*y**3 + 2*y**2 - 20*y - 24 = 0. What is y?
-3, -2, 2
Factor -492*m**3 + 147*m**2 - 6*m.
-3*m*(4*m - 1)*(41*m - 2)
Let -2*h**2 + 354*h = 0. Calculate h.
0, 177
Factor -5*g**3 - 33*g**2 + 504*g - 196.
-(g - 7)*(g + 14)*(5*g - 2)
Factor -2*g**2/9 + 64*g/9 - 512/9.
-2*(g - 16)**2/9
Factor -4*u**2/3 - 244*u/3 - 80.
-4*(u + 1)*(u + 60)/3
Factor 2*y**2/5 + 56*y - 282/5.
2*(y - 1)*(y + 141)/5
Factor 4*r**3 - 2740*r**2 + 473308*r - 1395372.
4*(r - 341)**2*(r - 3)
Find i, given that 3*i**4 - 66*i**3 + 423*i**2 - 660*i + 300 = 0.
1, 10
Find x such that -28*x**4 + 372*x**3 - 440*x**2 + 96*x = 0.
0, 2/7, 1, 12
What is d in -2*d**5/3 + 34*d**4/3 - 30*d**3 + 86*d**2/3 - 28*d/3 = 0?
0, 1, 14
Factor 4*f**2/5 - 36*f/5 + 72/5.
4*(f - 6)*(f - 3)/5
Factor -65*q**2 + 2070*q + 320.
-5*(q - 32)*(13*q + 2)
Factor -3*x**5 - 15*x**4 - 27*x**3 - 21*x**2 - 6*x.
-3*x*(x + 1)**3*(x + 2)
Factor 2*z**5/3 - 28*z**4/3 + 122*z**3/3 - 56*z**2 + 24*z.
2*z*(z - 6)**2*(z - 1)**2/3
Factor -f**2 - 28*f - 52.
-(f + 2)*(f + 26)
Determine b so that b**2 + 1323*b - 1324 = 0.
-1324, 1
Factor -w**5/3 + 1750*w**4/3 - 765625*w**3/3.
-w**3*(w - 875)**2/3
Factor -3*s**2 + 609*s - 1206.
-3*(s - 201)*(s - 2)
Suppose -4*s**2 - 28*s - 48 = 0. Calculate s.
-4, -3
Let -t**4/4 - 23*t**3/4 - 28*t**2 = 0. What is t?
-16, -7, 0
Factor -1445*k**4 + 4080*k**3 - 2625*k**2 + 490*k.
-5*k*(k - 2)*(17*k - 7)**2
Suppose 4*w**4 - 160*w**3 + 1232*w**2 + 7744*w = 0. Calculate w.
-4, 0, 22
Factor 4*c**2 + 472*c + 5824.
4*(c + 14)*(c + 104)
Determine h so that 5*h**3 - 1290*h**2 + 81900*h + 169000 = 0.
-2, 130
Factor -2*c**2 - 76*c - 522.
-2*(c + 9)*(c + 29)
Determine h, given that h**4/9 - 5*h**3/3 - 35*h**2/9 + 5*h/3 + 34/9 = 0.
-2, -1, 1, 17
Let 2*j**4/5 - j**3/5 - 3*j**2/5 + j/5 + 1/5 = 0. Calculate j.
-1, -1/2, 1
Factor -x**3/8 + 33*x**2/8 + 405*x/8 + 1075/8.
-(x - 43)*(x + 5)**2/8
Determine m so that -7*m**2/6 - 31*m/3 - 20 = 0.
-6, -20/7
Factor 5*d**3 + 70*d**2 + 265*d + 200.
5*(d + 1)*(d + 5)*(d + 8)
Let 2*c**2/3 + 44*c/3 + 70 = 0. What is c?
-15, -7
Factor -3*a**3/2 - 201*a**2/2 - 291*a - 192.
-3*(a + 1)*(a + 2)*(a + 64)/2
Suppose 2*k**5/11 - 54*k**4/11 + 316*k**3/11 - 760*k**2/11 + 816*k/11 - 320/11 = 0. What is k?
1, 2, 20
Solve j**5/2 + 2*j**4 - 5*j**3/2 - 10*j**2 + 2*j + 8 = 0.
-4, -2, -1, 1, 2
Find m, given that -5*m**3 + 85*m**2 + 5*m - 85 = 0.
-1, 1, 17
Factor -2*l**4 - 4908*l**3 + 4910*l**2.
-2*l**2*(l - 1)*(l + 2455)
Factor 2*t**2/5 - 16*t - 82/5.
2*(t - 41)*(t + 1)/5
Factor -w**4/4 + w**2/4.
-w**2*(w - 1)*(w + 1)/4
Let 27*k**5 + 402*k**4/5 + 78*k**3 + 108*k**2/5 - 21*k/5 - 6/5 = 0. Calculate k.
-1, -1/5, 2/9
Factor -17*x**5/4 + 32*x**4 - 63*x**3/4.
-x**3*(x - 7)*(17*x - 9)/4
Factor 2*t**2/5 - 12*t/5 + 16/5.
2*(t - 4)*(t - 2)/5
Solve 3*b**3/8 - 9*b**2/2 + 105*b/8 - 9 = 0.
1, 3, 8
Factor -w**3/5 - 8*w**2 + 127*w/5 - 86/5.
-(w - 2)*(w - 1)*(w + 43)/5
Factor 2112*f**2 - 536*f + 2.
2*(4*f - 1)*(264*f - 1)
Factor j**2/4 + 17*j/4.
j*(j + 17)/4
Let 3*b**3 - 42*b**2 + 39*b = 0. Calculate b.
0, 1, 13
Determine p, given that -112*p**2 - 276*p + 88 = 0.
-11/4, 2/7
Find l such that -3*l**2 - 25*l - 22 = 0.
-22/3, -1
What is c in -3*c**2 - 54*c - 243 = 0?
-9
Factor -3*a**3 + 138*a**2 - 1587*a.
-3*a*(a - 23)**2
What is g in -2*g**4/3 - 2830*g**3/3 + 2*g**2/3 + 2830*g/3 = 0?
-1415, -1, 0, 1
Factor -j**2/3 + 16*j/3 + 35.
-(j - 21)*(j + 5)/3
Determine h so that 207*h**3 - 420*h**2 + 219*h - 6 = 0.
2/69, 1
What is z in z**2/3 + 1748*z/3 + 763876/3 = 0?
-874
Factor -2*x**2/7 + 304*x/7 - 210.
-2*(x - 147)*(x - 5)/7
Factor 15*o**3 - 6445*o**2 - 8615*o - 2155.
5*(o - 431)*(o + 1)*(3*o + 1)
Find o, given that -5*o**4 + 25*o**3 - 10*o**2 - 40*o = 0.
-1, 0, 2, 4
Factor p**3 - 134*p**2 + 520*p.
p*(p - 130)*(p - 4)
Find k such that 4*k**3 - 100*k**2 - 448*k - 464 = 0.
-2, 29
Factor n**4/3 + 2*n**3/3 - 4*n**2 - 6*n + 9.
(n - 3)*(n - 1)*(n + 3)**2/3
Factor -2*m**4/5 - 144*m**3/5 - 3824*m**2/5 - 44352*m/5 - 189728/5.
-2*(m + 14)**2*(m + 22)**2/5
Find t such that 4*t**5 - 108*t**4 + 1064*t**3 - 4544*t**2 + 7680*t - 4096 = 0.
1, 2, 8
What is a in 3*a**3 + 47*a**2 - 40*a - 384 = 0?
-16, -8/3, 3
Solve -32*u**4/3 + 112*u**3/3 - 34*u**2/3 - 40*u/3 - 2 = 0.
-1/4, 1, 3
Factor 3*i**5 + 6*i**4 - 36*i**3 - 24*i**2 + 96*i.
3*i*(i - 2)**2*(i + 2)*(i + 4)
Factor 5*o**3 - 520*o**2 + 1025*o - 510.
5*(o - 102)*(o - 1)**2
Determine u so that -5*u**2 + 65*u + 2550 = 0.
-17, 30
What is a in 3*a**3/8 - 3*a**2/2 - 9*a/2 = 0?
-2, 0, 6
Factor -m**3/2 - 17*m**2/2 + 193*m/2 - 175/2.
-(m - 7)*(m - 1)*(m + 25)/2
Find r, given that -18*r**4 - 65*r**3/4 + 90*r**2 - 265*r/4 + 21/2 = 0.
-3, 2/9, 7/8, 1
Factor 28*p**4 + 8*p**3 - 84*p**2 - 80*p - 16.
4*(p - 2)*(p + 1)**2*(7*p + 2)
Factor q**3/2 + 104*q**2/3 + 221*q/2 + 33.
(q + 3)*(q + 66)*(3*q + 1)/6
What is h in h**3 - 23*h**2 + 160*h - 300 = 0?
3, 10
Factor -16*m**2 + 26*m + 12.
-2*(m - 2)*(8*m + 3)
Solve -5*h**5/3 - 10*h**4/3 + 5*h**3 + 20*h**2/3 - 20*h/3 = 0 for h.
-2, 0, 1
Suppose 4*v**4/9 - 32*v**3/9 + 4*v**2 + 8*v = 0. Calculate v.
-1, 0, 3, 6
Let 2*b**3/5 - 4202*b**2/5 + 441840*b - 441000 = 0. What is b?
1, 1050
Let -2*p**2/13 + 64*p/13 + 66/13 = 0. Calculate p.
-1, 33
What is f in 2*f**4/15 - 134*f**3/5 + 3294*f**2/5 - 28674*f/5 + 84564/5 = 0?
9, 174
Let -3*r**5/8 + 9*r**4/8 + 3*r**3/8 - 9*r**2/8 = 0. What is r?
-1, 0, 1, 3
Factor 3*z**3 - 129*z**2 + 1845*z - 8775.
3*(z - 15)**2*(z - 13)
Factor 3*x**5/2 - 18*x**4 + 54*x**3 - 48*x**2.
3*x**2*(x - 8)*(x - 2)**2/2
Solve k**5/6 - k**4/3 - 5*k**3/6 + k**2 = 0 for k.
-2, 0, 1, 3
Factor -s**2 - 84*s.
-s*(s + 84)
Factor 3*r**2 + 1035*r - 1038.
3*(r - 1)*(r + 346)
Determine q so that -q**2/5 - 221*q/5 - 1908/5 = 0.
-212, -9
What is y in y**5 - 50*y**4 + 97*y**3 + 13200*y**2 + 69696*y = 0?
-8, 0, 33
Factor 2*q**3/5 - 166*q**2/5 + 324*q/5.
2*q*(q - 81)*(q - 2)/5
Factor 2*x**2 + 20*x.
2*x*(x + 10)
Determine n so that 55*n**4/2 - 389*n**3/2 - 27*n**2/2 + 389*n/2 - 14 = 0.
-1, 4/55, 1, 7
Factor 2*c**2 + 546*c - 1100.
2*(c - 2)*(c + 275)
Find m such that 2*m**5/15 + 6*m**4/5 + 8*m**3/3 + 8*m**2/5 = 0.
-6, -2, -1, 0
Factor -4*n**2 - 432*n - 11664.
-4*(n + 54)**2
Suppose 5*w**3 + 265*w**2 - 565*w - 825 = 0. What is w?
-55, -1, 3
Solve 5*p**3 + 55*p**2 - 70*p - 120 = 0.
-12, -1, 2
Let -2*y**2 + 4668*y - 2723778 = 0. What is y?
1167
Factor -5*m**2/3 + 281*m + 338/3.
-(m - 169)*(5*m + 2)/3
Factor 2*s**5 - 8*s**4 + 10*s**3 - 4*s**2.
2*s**2*(s - 2)*(s - 1)**2
Factor l**3 + 118*l**2 + 3481*l.
l*(l + 59)**2
Suppose 2*c**5/13 + 36*c**4/13 + 138*c**3/13 + 8*c**2 = 0. Calculate c.
-13, -4, -1, 0
Factor 729*p**5/4 - 621*p**4/4 - 26*p**3 - p**2.
p**2*(p - 1)*(27*p + 2)**2/4
Factor 4*h**3 - 376*h**2 - 768*h.
4*h*(h - 96)*(h + 2)
Factor -4*h**4 - 656*h**3 - 644*h**2 + 1304*h.
-4*h*(h - 1)*(h + 2)*(h + 163)
Factor k**4/3 + 5*k**3/3 - 18*k**2 + 124*k/3 - 88/3.
(k - 2)**3*(k + 11)/3
Factor 162*i**3/13 - 16434*i**2/13 + 560*i - 808/13.
2*(i - 101)*(9*i - 2)**2/13
Factor -3*i**3 + 420*i**2 + 429*i - 846.
-3*(i - 141)*(i - 1)*(i + 2)
Solve b**4/8 - 19*b**3/8 - 113*b**2/8 - 165*b/8 - 9 = 0 for b.
-3, -1, 24
Factor 3*a**2/2 + 165*a/2 + 234.
3*(a + 3)*(a + 52)/2
Let z**3 + 1648*z**2 + 680621*z + 1354658 = 0. What is z?
-823, -2
Suppose 6*w**5/5 + 204*w**4 + 1014*w**3/5 = 0. What is w?
-169, -1, 0
Factor 2*w**2/9 + 314*w/9 + 308/3.
2*(w + 3)*(w + 154)/9
Let t**5/4 + 5*t**4/2 - 6*t**3 + t**2/2 + 23*t/4 - 3 = 0. What is t?
-12, -1, 1
Factor k**4/4 - 57*k**3/2.
k**3*(k - 114)/4
Let -3*p**2/4 - 33*p/4 + 9 = 0. Calculate p.
-12, 1
Determine k, given that -3*k**2 - 120*k - 228 = 0.
-38, -2
Determine s, given that 3*s**2/4 - 171*s/4 - 465/2 = 0.
-5, 62
Factor -2*v**2/5 - 12*v - 90.
-2*(v + 15)**2/5
Factor -4*h**2 + 5424*h - 1838736.
-4*(h - 678)**2
Let -6*g**5/11 + 30*g**4/11 + 48*g**3/11 - 72*g**2/11 = 0. What is g?
-2, 0, 1, 6
Factor c**2 + 59*c + 58.
(c + 1)*(c + 58)
Suppose -4*x**4 + 60*x**3 + 768*x**2 + 2240*x + 1536 = 0. Calculate x.
-4, -1, 24
Factor -2*b**3 + 340*b**2 - 2624*