7*w**5 + 63*w**4 - 3*w**3 - 27*w**2 - 6*w = 0.
-1/3, 0, 1, 2
Factor -c**2/2 + 21*c.
-c*(c - 42)/2
Determine c, given that c**4 + 6*c**3 - c**2 - 30*c = 0.
-5, -3, 0, 2
Factor -3*m**3/5 + 72*m**2/5 - 576*m/5 + 1536/5.
-3*(m - 8)**3/5
Factor a**3/6 + 5*a**2/6 + 2*a/3.
a*(a + 1)*(a + 4)/6
Factor 2*r**2 + 712*r.
2*r*(r + 356)
Let 48*w**5 + 688*w**4 + 1436*w**3 + 1136*w**2 + 388*w + 48 = 0. Calculate w.
-12, -1, -1/2, -1/3
Factor k**3 + 117*k**2 + 342*k.
k*(k + 3)*(k + 114)
Determine a, given that 8*a**5/3 - 80*a**4/3 - 862*a**3/3 - 1478*a**2/3 - 874*a/3 - 170/3 = 0.
-5, -1, -1/2, 17
Factor 2*z**4/7 - 12*z**3/7 + 24*z**2/7 - 20*z/7 + 6/7.
2*(z - 3)*(z - 1)**3/7
Let -2*h**4 + 2*h**2 = 0. Calculate h.
-1, 0, 1
What is u in -15*u**3 - 235*u**2 - 340*u + 140 = 0?
-14, -2, 1/3
What is z in 4*z**4 + 88*z**3 + 628*z**2 + 1584*z + 1296 = 0?
-9, -2
Factor 4*y**3 + 44*y**2 - 100*y + 52.
4*(y - 1)**2*(y + 13)
Factor -q**3/2 - 41*q**2/6 - 133*q/6 + 49/6.
-(q + 7)**2*(3*q - 1)/6
Factor 4*k**3 + 1524*k**2 + 3036*k + 1516.
4*(k + 1)**2*(k + 379)
Determine x so that 6440067*x**4/2 + 748845*x**3 + 58050*x**2 + 1500*x = 0.
-10/129, 0
Determine f so that 2*f**5/7 - 6*f**3/7 - 4*f**2/7 = 0.
-1, 0, 2
Factor 30*i**5 + 57*i**4 + 24*i**3 - 3*i**2.
3*i**2*(i + 1)**2*(10*i - 1)
Let i**5 - 8*i**4 + 18*i**3 - 4*i**2 - 19*i + 12 = 0. Calculate i.
-1, 1, 3, 4
Factor -f**4/5 - 4*f**3/5 - 2*f**2/5 + 4*f/5 + 3/5.
-(f - 1)*(f + 1)**2*(f + 3)/5
Let q**5/5 + q**4/5 - q**3 - q**2 + 4*q/5 + 4/5 = 0. What is q?
-2, -1, 1, 2
Solve -2*s**5 - 16*s**4/3 + 92*s**3 - 184*s**2 + 370*s/3 - 24 = 0 for s.
-9, 1/3, 1, 4
Suppose 27*i**2 + 33*i + 6 = 0. What is i?
-1, -2/9
Let 2*r**3 - 10*r**2 - 26*r - 14 = 0. Calculate r.
-1, 7
What is s in -2*s**4/7 - 240*s**3/7 + 244*s**2/7 + 240*s/7 - 242/7 = 0?
-121, -1, 1
Find j such that -20*j**2 + 475*j - 770 = 0.
7/4, 22
Let -4*m**4 + 112*m**3 - 1048*m**2 + 3696*m - 4356 = 0. Calculate m.
3, 11
Determine y so that -8*y**5/3 + 82*y**4/3 + 268*y**3/3 + 232*y**2/3 + 28*y/3 - 26/3 = 0.
-1, 1/4, 13
Determine u so that -3*u**4/5 - 12*u**3/5 + 18*u**2/5 + 12*u/5 - 3 = 0.
-5, -1, 1
Factor 75*k**2 - 5280*k + 92928.
3*(5*k - 176)**2
Suppose -4*k**2/7 - 24*k/7 - 36/7 = 0. Calculate k.
-3
Factor 8*n**2 - 3202*n + 800.
2*(n - 400)*(4*n - 1)
Find w such that 6*w**5 + 4916*w**4 - 3286*w**3 - 4916*w**2 + 3280*w = 0.
-820, -1, 0, 2/3, 1
Factor -2*n**2/3 - 10*n - 100/3.
-2*(n + 5)*(n + 10)/3
What is x in 8*x**2 + 42*x + 40 = 0?
-4, -5/4
Find l such that l**2 + 78*l + 77 = 0.
-77, -1
Suppose -1495*w**3 + 10*w**2 + 1495*w - 10 = 0. Calculate w.
-1, 2/299, 1
Determine m so that -2*m**3/3 + 12*m**2 + 278*m/3 + 80 = 0.
-5, -1, 24
Factor 5*f**3 - 75*f**2 + 220*f.
5*f*(f - 11)*(f - 4)
Find s such that 5*s**3 - 60*s**2 - 140*s = 0.
-2, 0, 14
Let 2*q**2/3 + 472*q/3 + 27848/3 = 0. What is q?
-118
Factor i**3 + 49*i**2 - 1656*i.
i*(i - 23)*(i + 72)
Determine a, given that -3*a**4 - 12*a**3 - 15*a**2 - 6*a = 0.
-2, -1, 0
Factor 11*s**2/6 - 2*s/3.
s*(11*s - 4)/6
Find n such that n**5/2 + 7*n**4/2 + 13*n**3/2 + n**2/2 - 7*n - 4 = 0.
-4, -2, -1, 1
Let 20*h**5 + 135*h**4 - 815*h**3 + 1255*h**2 - 705*h + 110 = 0. Calculate h.
-11, 1/4, 1, 2
Factor 2*s**4/3 - 14*s**3/3 - 18*s**2 - 58*s/3 - 20/3.
2*(s - 10)*(s + 1)**3/3
Solve -2*p**2/5 - 3048*p/5 - 1161288/5 = 0.
-762
Factor -94875856*x**4 + 26864020*x**3 - 821016*x**2 + 8816*x - 32.
-4*(4*x - 1)*(181*x - 2)**3
Find k, given that 6*k**3/7 - 39*k**2 + 2736*k/7 + 8640/7 = 0.
-5/2, 24
Find w, given that 3*w**3/4 + 525*w**2/4 + 1041*w/4 + 519/4 = 0.
-173, -1
Let -w**4/4 - 7*w**3/2 - 61*w**2/4 - 21*w - 9 = 0. What is w?
-6, -1
Determine g, given that 5*g**4/4 - 25*g**3/2 + 85*g**2/4 - 10*g = 0.
0, 1, 8
Factor f**4 - 70*f**3 + 1293*f**2 - 4364*f + 4100.
(f - 41)*(f - 25)*(f - 2)**2
Find q, given that 6*q**3 + 16*q**2 - 22*q/3 - 4 = 0.
-3, -1/3, 2/3
Determine q so that 4*q**5 + 1072*q**4 + 70744*q**3 - 144720*q**2 + 72900*q = 0.
-135, 0, 1
Let 47*v**2/8 + 7*v/4 = 0. Calculate v.
-14/47, 0
Find t such that 78*t**2 - t/4 = 0.
0, 1/312
Factor -2*t**2/7 - 1858*t/7 - 1856/7.
-2*(t + 1)*(t + 928)/7
Factor 3*a**2 - 102*a - 456.
3*(a - 38)*(a + 4)
Factor 3*r**2/7 - 27*r/7 - 108/7.
3*(r - 12)*(r + 3)/7
Factor -k**3/4 - 5*k**2 - 12*k + 144.
-(k - 4)*(k + 12)**2/4
Factor 2*x**3/5 + 16*x**2/5 - 158*x/5 + 28.
2*(x - 5)*(x - 1)*(x + 14)/5
Factor 2*s**3/3 - 38*s**2/3 - 176*s/3 - 184/3.
2*(s - 23)*(s + 2)**2/3
Factor 21*i**4 + 137*i**3 + 245*i**2 + 39*i - 90.
(i + 1)*(i + 3)**2*(21*i - 10)
Suppose 4*k**2 - 120*k - 396 = 0. What is k?
-3, 33
Solve p**4/3 - 32*p**3/3 - 37*p**2/3 + 128*p/3 + 44 = 0.
-2, -1, 2, 33
Factor 5*y**4 - 59*y**3 + 156*y**2.
y**2*(y - 4)*(5*y - 39)
Factor 2*f**5 + 10*f**4 + 4*f**3 - 16*f**2.
2*f**2*(f - 1)*(f + 2)*(f + 4)
Let -m**4/10 + 17*m**3/10 - 93*m**2/10 + 35*m/2 - 49/5 = 0. What is m?
1, 2, 7
Factor -g**4/10 + 7*g**3/5 - 7*g**2/2 + 11*g/5.
-g*(g - 11)*(g - 2)*(g - 1)/10
Factor u**3 + 89*u**2 - 2321*u + 13431.
(u - 11)**2*(u + 111)
Solve 3*i**5/8 + 15*i**4/8 - 75*i**3/8 - 375*i**2/8 = 0 for i.
-5, 0, 5
Determine b so that -3*b**3/2 - 774*b**2 - 133128*b - 7632672 = 0.
-172
Let 3*h**3/5 + 87*h**2/5 - 126*h = 0. Calculate h.
-35, 0, 6
Factor 2*n**3/3 + 6*n**2 + 10*n - 50/3.
2*(n - 1)*(n + 5)**2/3
Factor 3*o**3/8 - 18007*o**2/8 + 27024005*o/8 - 9006001/8.
(o - 3001)**2*(3*o - 1)/8
Factor -3*x**3 + 156*x**2 + 321*x + 162.
-3*(x - 54)*(x + 1)**2
Factor -f**2/6 + 5*f/6.
-f*(f - 5)/6
Factor g**2 - 16*g - 161.
(g - 23)*(g + 7)
Factor 2*f**3/3 - 20*f**2/3 + 22*f - 24.
2*(f - 4)*(f - 3)**2/3
Factor -4*t**3 - 40*t**2 - 108*t - 72.
-4*(t + 1)*(t + 3)*(t + 6)
Find r such that 2*r**5/3 + 6*r**4 + 25*r**3/6 - 9*r**2 + 8*r/3 = 0.
-8, -2, 0, 1/2
Suppose h**4 - 51*h**3 + 46*h**2 + 204*h - 200 = 0. What is h?
-2, 1, 2, 50
Factor 5*c**4 - 630*c**3 + 17845*c**2 + 127380*c + 108900.
5*(c - 66)**2*(c + 1)*(c + 5)
Factor -3*h**3 + 42*h**2 - 177*h + 210.
-3*(h - 7)*(h - 5)*(h - 2)
Find j, given that j**2/4 + 11*j/4 + 15/2 = 0.
-6, -5
Factor 5*f**5 + 15*f**4 - 20*f**2.
5*f**2*(f - 1)*(f + 2)**2
Determine z, given that 3*z**4 + 45*z**3 + 42*z**2 = 0.
-14, -1, 0
Factor -5*q**2/4 - 475*q/4 + 735/2.
-5*(q - 3)*(q + 98)/4
Factor -l**5/2 - 3*l**4/2 + 45*l**3/2 + 175*l**2/2.
-l**2*(l - 7)*(l + 5)**2/2
What is f in -2*f**5/13 - 2*f**4/13 + 2*f**3/13 + 2*f**2/13 = 0?
-1, 0, 1
Find l, given that -2*l**5 + 264*l**4 - 8972*l**3 + 17160*l**2 - 8450*l = 0.
0, 1, 65
Factor -2*b**2/5 + 766*b/5 - 1524/5.
-2*(b - 381)*(b - 2)/5
Factor i**3/3 + 4*i**2/3 - 7*i.
i*(i - 3)*(i + 7)/3
Factor -30*k**3 + 63*k**2 - 36*k + 3.
-3*(k - 1)**2*(10*k - 1)
Factor 5*t**4/4 - 5*t**3/2 - 275*t**2/4 + 70*t.
5*t*(t - 8)*(t - 1)*(t + 7)/4
Factor -9*s**3/2 + 6*s**2 + 15*s/2 - 3.
-3*(s - 2)*(s + 1)*(3*s - 1)/2
Factor 2*d**3 - 156*d**2 + 3762*d - 26136.
2*(d - 33)**2*(d - 12)
Solve -m**3 + 19*m**2 + 4*m - 76 = 0 for m.
-2, 2, 19
Factor -5*o**4 + 125*o**3 - 330*o**2 - 20*o + 440.
-5*(o - 22)*(o - 2)**2*(o + 1)
Determine f so that 3*f**3 + 9*f**2 - 48*f + 36 = 0.
-6, 1, 2
Solve 2*n**4/19 + 6*n**3/19 - 8*n/19 = 0 for n.
-2, 0, 1
Factor k**5/9 - 2*k**4/3 + 4*k**3/9 + 2*k**2/3 - 5*k/9.
k*(k - 5)*(k - 1)**2*(k + 1)/9
Determine y so that -7*y**5 + 418*y**4 - 6180*y**3 - 1800*y**2 = 0.
-2/7, 0, 30
Solve 84*z**2 - 1600*z + 76 = 0 for z.
1/21, 19
Factor 4*u**2 + 152*u - 6300.
4*(u - 25)*(u + 63)
Find r, given that -r**4/10 + 69*r**3/10 - 611*r**2/5 + 102*r + 1156/5 = 0.
-1, 2, 34
Factor t**5/3 - 4*t**4/3 + 4*t**3/3 + 2*t**2/3 - 5*t/3 + 2/3.
(t - 2)*(t - 1)**3*(t + 1)/3
Factor 2*b**3 - 20*b**2 + 14*b + 36.
2*(b - 9)*(b - 2)*(b + 1)
Let 5*i**2 + 70*i - 75 = 0. What is i?
-15, 1
Suppose w**2 + 13*w - 30 = 0. Calculate w.
-15, 2
Factor -66*v**2 + 3692*v + 224.
-2*(v - 56)*(33*v + 2)
Factor 3*p**3 + 342*p**2 + 12996*p + 164616.
3*(p + 38)**3
Factor 2*t**2 + 70*t + 348.
2*(t + 6)*(t + 29)
Factor 2*m**4 - 16*m**3/9 - 2*m**2/9.
2*m**2*(m - 1)*(9*m + 1)/9
Solve 3*q**3 - 5757*q**2 = 0.
0, 1919
Find h such that 22*h**5 - 42*h**4 - 4*h**3 + 44*h**2 - 18*h - 2 = 0.
-1, -1/11, 1
Determine g, given that 5*g**3/4 - 155*g**2 - 1275*g/4 + 945/2 = 0.
-3, 1, 126
Factor s**4 - 1183*s**3 + 465705*s**2 - 60693725*s - 123259750.
(s - 395)**3*(s + 2)
Factor 5*x**5 + 180*x**4 - 380*x**3.
5*x**3*(x - 2)*(x + 38)
Factor -x**4 + 13*x**3 - 3