25 = 0 for z.
55
Factor 2*k**2 - 34*k + 140.
2*(k - 10)*(k - 7)
Suppose h**4/2 - 10*h**3 - 3*h**2/2 + 31*h - 20 = 0. Calculate h.
-2, 1, 20
Let -3*b**2/2 + 72*b + 147/2 = 0. What is b?
-1, 49
What is s in -s**5/2 - 34*s**4 - 67*s**3/2 = 0?
-67, -1, 0
Factor -2*h**5/3 - 2*h**4/3 + 72*h**3 - 1120*h**2/3 + 1664*h/3.
-2*h*(h - 4)**3*(h + 13)/3
Factor -o**5/6 - o**4/2 + 2*o**3/3 + 8*o**2/3 - 8/3.
-(o - 2)*(o - 1)*(o + 2)**3/6
Factor -c**5/6 + 2*c**4/3 - 2*c**3/3 - c**2/3 + 5*c/6 - 1/3.
-(c - 2)*(c - 1)**3*(c + 1)/6
Suppose -3*a**5 - 30*a**4 - 51*a**3 - 24*a**2 = 0. What is a?
-8, -1, 0
Find w, given that -4*w**3/5 + 132*w**2/5 - 956*w/5 - 1092/5 = 0.
-1, 13, 21
Let 4*r**5 + 44*r**4 + 132*r**3 + 20*r**2 - 200*r = 0. Calculate r.
-5, -2, 0, 1
Factor -2*s**4 + 78*s**3 - 74*s**2 - 78*s + 76.
-2*(s - 38)*(s - 1)**2*(s + 1)
Solve -y**5 + 404*y**4 - 41204*y**3 + 80398*y**2 + 41205*y - 80802 = 0.
-1, 1, 2, 201
Solve 8*a**5/5 + 34*a**4/5 - 24*a**3/5 - 136*a**2/5 - 32*a/5 = 0 for a.
-4, -2, -1/4, 0, 2
Factor -o**4/7 - 201*o**3/7 - 10588*o**2/7 - 6972*o - 5488.
-(o + 1)*(o + 4)*(o + 98)**2/7
Factor -s**4/4 - 33*s**3/4 - 29*s**2.
-s**2*(s + 4)*(s + 29)/4
Find g, given that 4*g**4/3 - 38*g**3 + 268*g**2/3 - 70*g + 52/3 = 0.
1/2, 1, 26
Factor -3*s**4 - 96*s**3 - 303*s**2 + 906*s - 504.
-3*(s - 1)**2*(s + 6)*(s + 28)
Factor -81*s**4/2 + 342*s**3 - 794*s**2 + 304*s - 32.
-(s - 4)**2*(9*s - 2)**2/2
Factor 8*p**3/11 - 82*p**2/11 + 20*p - 50/11.
2*(p - 5)**2*(4*p - 1)/11
What is l in l**4 - 6*l**3 + 5*l**2 = 0?
0, 1, 5
Factor 4*x**2 + 512*x.
4*x*(x + 128)
Solve 2*b**5 + 96*b**4 + 1314*b**3 + 3572*b**2 - 4488*b - 17424 = 0 for b.
-22, -3, 2
Factor -2*h**2/3 + 146*h - 436/3.
-2*(h - 218)*(h - 1)/3
Factor i**4/7 + 57*i**3/7 + 781*i**2/7 - 957*i/7 - 1682/7.
(i - 2)*(i + 1)*(i + 29)**2/7
Determine v, given that 110*v**5/9 + 2*v**4/9 - 4*v**3/9 = 0.
-1/5, 0, 2/11
Factor 2*w**3/7 + 16*w**2/7 + 2*w/7 - 12.
2*(w - 2)*(w + 3)*(w + 7)/7
Find t, given that -2*t**4/5 + 12*t**3 + 128*t**2/5 = 0.
-2, 0, 32
Solve -3*m**2/2 + 9*m/2 - 3 = 0 for m.
1, 2
Factor 4*i**2 - 124*i + 120.
4*(i - 30)*(i - 1)
Suppose 2*n**3/5 + 2*n**2 + 12*n/5 = 0. What is n?
-3, -2, 0
Factor 3*b**2 + 63*b - 2838.
3*(b - 22)*(b + 43)
Factor 3*p**3 - 231*p**2 - 3096*p - 9612.
3*(p - 89)*(p + 6)**2
Suppose -3*u**2 - 2310*u = 0. Calculate u.
-770, 0
Determine g so that 5*g**3 - 50*g**2 + 115*g - 70 = 0.
1, 2, 7
Factor -14*b**2/15 + 116*b/15 - 32/15.
-2*(b - 8)*(7*b - 2)/15
Determine u so that -84*u**4/13 + 74*u**3/13 + 14*u**2/13 - 4*u/13 = 0.
-2/7, 0, 1/6, 1
Factor -2*l**2 - 196*l - 4784.
-2*(l + 46)*(l + 52)
Find x such that -6*x**2/5 + 28732*x/5 - 19152/5 = 0.
2/3, 4788
Factor d**4/2 + 2*d**3 + 2*d**2.
d**2*(d + 2)**2/2
Suppose 5*k**2 - 1440*k + 103680 = 0. What is k?
144
Let 49*z**4/2 - 8736*z**3 - 12556*z**2 + 9312*z - 1432 = 0. Calculate z.
-2, 2/7, 358
Find d such that -6*d**2/5 - 3*d/5 = 0.
-1/2, 0
What is s in s**2 - 6*s + 8 = 0?
2, 4
What is v in 2*v**5/9 + 4*v**4/9 - 2*v**3/3 = 0?
-3, 0, 1
What is n in -6*n**2/19 - 52*n/19 - 46/19 = 0?
-23/3, -1
Factor l**3/4 + 7*l**2 + 99*l/4 + 18.
(l + 1)*(l + 3)*(l + 24)/4
Factor 2*o**4 - 22*o**3 + 66*o**2 - 74*o + 28.
2*(o - 7)*(o - 2)*(o - 1)**2
Factor -14*n**3 + 348*n**2 - 1950*n - 2704.
-2*(n - 13)**2*(7*n + 8)
Factor -2*n**2 + 36*n - 154.
-2*(n - 11)*(n - 7)
Factor -18*h**4 + 112*h**3 + 102*h**2 - 28*h.
-2*h*(h - 7)*(h + 1)*(9*h - 2)
Factor i**3 + 33*i**2 + 224*i + 192.
(i + 1)*(i + 8)*(i + 24)
Find u such that -3*u**3 - 2886*u**2 + 11580*u - 11592 = 0.
-966, 2
Suppose -3*v**4/4 - 103*v**3/2 - 84*v**2 - 33*v/2 + 67/4 = 0. Calculate v.
-67, -1, 1/3
Find r such that -r**3/6 - 5*r**2/2 - 21*r/2 - 49/6 = 0.
-7, -1
Factor 2*h**2 - 8*h - 280.
2*(h - 14)*(h + 10)
Let z**2 + 3*z + 2 = 0. What is z?
-2, -1
Solve -2*n**2/13 + 28*n/13 - 80/13 = 0.
4, 10
What is u in -2*u**2 + 2388*u + 4784 = 0?
-2, 1196
Factor 4*t**4 + 8*t**3 - 8*t - 4.
4*(t - 1)*(t + 1)**3
Factor 3*m**5 - 4146*m**4 + 1436583*m**3 - 2860740*m**2 + 1428300*m.
3*m*(m - 690)**2*(m - 1)**2
Determine q, given that 3*q**5/4 - 141*q**3/4 - 189*q**2/2 - 60*q = 0.
-5, -2, -1, 0, 8
Factor 2*t**4 + 4*t**3 - 2*t**2 - 4*t.
2*t*(t - 1)*(t + 1)*(t + 2)
Solve -2*s**3/5 - 12*s**2/5 + 182*s/5 = 0 for s.
-13, 0, 7
Find u such that -2*u**5/3 + 2*u**4 - 4*u**3/3 = 0.
0, 1, 2
Factor 2*q**5 - 6*q**4 - 2*q**3 + 6*q**2.
2*q**2*(q - 3)*(q - 1)*(q + 1)
Factor 2*j**2 + 30*j - 68.
2*(j - 2)*(j + 17)
Find g, given that -g**2/5 - 333*g/5 - 662/5 = 0.
-331, -2
Suppose -4*p**2 - 2312*p - 334084 = 0. What is p?
-289
Factor -968*v**3 - 1232*v**2 - 282*v - 18.
-2*(v + 1)*(22*v + 3)**2
Factor -w**3/2 - 108*w**2 - 11877*w/2 - 11449.
-(w + 2)*(w + 107)**2/2
Suppose 10*v**3/7 + 92*v**2 + 256*v/7 = 0. Calculate v.
-64, -2/5, 0
Suppose -2*z**2/9 - 6*z = 0. Calculate z.
-27, 0
Solve 6*w**4/5 + 28*w**3/5 + 46*w**2/5 + 32*w/5 + 8/5 = 0 for w.
-2, -1, -2/3
Factor -2*r**3/7 + 240*r**2/7 - 474*r/7 + 236/7.
-2*(r - 118)*(r - 1)**2/7
Find i such that 3*i**4/2 + 6*i**3 + 9*i**2 + 6*i + 3/2 = 0.
-1
Find y, given that 5*y**4 + 150*y**3 + 145*y**2 = 0.
-29, -1, 0
Factor 12*g**2 - 465*g - 117.
3*(g - 39)*(4*g + 1)
Factor 2*n**5 - 80*n**4 + 1200*n**3 - 8000*n**2 + 20000*n.
2*n*(n - 10)**4
Factor -12*r**2/5 - 32*r/5 + 12/5.
-4*(r + 3)*(3*r - 1)/5
Determine k, given that 3*k**5 - 120*k**4 + 540*k**3 + 2370*k**2 + 2625*k + 918 = 0.
-1, 9, 34
Factor -4*q**2/5 + 396*q/5 + 80.
-4*(q - 100)*(q + 1)/5
Factor -3*b**3 + 243*b**2 - 474*b.
-3*b*(b - 79)*(b - 2)
Factor -2*s**3 + 26*s**2 + 596*s + 2080.
-2*(s - 26)*(s + 5)*(s + 8)
Let 2*s**2/7 - 82*s/7 - 460/7 = 0. Calculate s.
-5, 46
Factor 3*d**5 - 12*d**4 - 114*d**3 - 180*d**2 - 81*d.
3*d*(d - 9)*(d + 1)**2*(d + 3)
Find w, given that 16*w**4/5 + 1784*w**3/5 - 903*w**2/5 - 157*w - 112/5 = 0.
-112, -1/4, 1
Factor 2*j**2/3 - 568*j + 120984.
2*(j - 426)**2/3
Factor 6*t**4 - 388*t**3 + 634*t**2 - 252*t.
2*t*(t - 63)*(t - 1)*(3*t - 2)
Factor -l**2/2 + 2759*l - 7612081/2.
-(l - 2759)**2/2
Factor -q**2/4 + 69*q/2 - 4761/4.
-(q - 69)**2/4
Factor 3*a**5 - 24*a**4 - 90*a**3 + 672*a**2 + 735*a.
3*a*(a - 7)**2*(a + 1)*(a + 5)
Find l, given that -2*l**5 - 166*l**4/5 - 194*l**3/5 + 158*l**2 + 1548*l/5 + 144 = 0.
-15, -2, -1, 12/5
Solve 2*j**3/17 + 244*j**2/17 + 944*j/17 = 0.
-118, -4, 0
Factor -l**5/5 + 22*l**4/5 + 47*l**3/5 + 24*l**2/5.
-l**2*(l - 24)*(l + 1)**2/5
Let -k**2/2 - 10*k + 21/2 = 0. Calculate k.
-21, 1
Let -2*s**2/11 + 1004*s/11 + 2016/11 = 0. Calculate s.
-2, 504
Suppose 4*x**4/7 + 128*x**3/7 - 84*x**2 - 360*x/7 + 2592/7 = 0. What is x?
-36, -2, 3
Factor 4*z**3 - 128*z**2 - 596*z + 720.
4*(z - 36)*(z - 1)*(z + 5)
Factor 2*n**4 + 600*n**3 + 45000*n**2.
2*n**2*(n + 150)**2
Factor -2*c**3/5 - 62*c**2/5 - 102*c - 90.
-2*(c + 1)*(c + 15)**2/5
Find f such that -f**4/4 + 11*f**3/2 - 89*f**2/4 - 88*f + 105 = 0.
-3, 1, 10, 14
What is o in 5*o**4 + 115*o**3 + 215*o**2 + 105*o = 0?
-21, -1, 0
Factor -v**3 - 3*v**2 + 45*v - 81.
-(v - 3)**2*(v + 9)
Factor n**3/8 - 59*n**2/8 + 115*n/8 - 57/8.
(n - 57)*(n - 1)**2/8
Factor -2*k**4 + 4*k**3 + 14*k**2 - 40*k + 24.
-2*(k - 2)**2*(k - 1)*(k + 3)
Let k**2 + 53*k - 110 = 0. Calculate k.
-55, 2
Determine t so that t**2/7 + 10*t/7 - 39/7 = 0.
-13, 3
Let -3*x**3 - 15*x**2 + 123*x + 135 = 0. Calculate x.
-9, -1, 5
Determine k so that -2*k**3/5 - 802*k**2/5 - 79998*k/5 + 80802/5 = 0.
-201, 1
Let -4*u**2/7 - 192*u/7 + 1060/7 = 0. Calculate u.
-53, 5
Solve f**5/8 - 113*f**4/8 - 115*f**3/4 - f**2/4 + 229*f/8 + 115/8 = 0.
-1, 1, 115
Factor -2*d**2/13 - 14*d.
-2*d*(d + 91)/13
Determine l so that 2*l**3/3 - 52*l**2/3 + 50*l/3 = 0.
0, 1, 25
Let 4*b**4 + 80*b**3 + 148*b**2 + 72*b = 0. What is b?
-18, -1, 0
Factor 4*i**2/3 + 972*i + 2912/3.
4*(i + 1)*(i + 728)/3
Determine q, given that 2*q**4 - 2*q**3 - 8*q**2 + 8*q = 0.
-2, 0, 1, 2
Factor 2*k**4/9 - 20*k**3/9 + 46*k**2/9 - 28*k/9.
2*k*(k - 7)*(k - 2)*(k - 1)/9
Factor 2*c**2/3 - 20*c/3 + 16.
2*(c - 6)*(c - 4)/3
Factor -u**5/6 + 4*u**4.
-u**4*(u - 24)/6
Factor -h**2 - 273*h - 272.
-(h + 1)*(h + 272)
Find q such that 7*q**2 + 523*q - 150 = 0.
-75, 2/7
Factor 2*z**3/21 + 166*z**2/21 + 44*z.
2*z*(z + 6)*(z + 77)/21
Solve -b**5 + 89*b**4 - 2378*b**3 + 16642*b**2 + 2379*b - 16731 = 0.
-1, 1, 11, 39
What is c in -c**5/3 + 4*c**4 + 35*c**3/3 - 30*c**2 - 124*c/3