*g**5 + 4*g**4 - 20*g**3 - 20*g**2 + 16*g + 16 = 0 for g.
-2, -1, 1, 2
Factor 2*l**3 - 70*l**2.
2*l**2*(l - 35)
Find l, given that 2*l**2/3 + 58*l/3 + 52 = 0.
-26, -3
Suppose 4*u**5 + 168*u**4 + 1332*u**3 - 10672*u**2 - 25392*u = 0. Calculate u.
-23, -2, 0, 6
Determine w, given that -4*w**4 + 12*w**3 - 8*w**2 = 0.
0, 1, 2
Factor -5*v**2 - 405*v - 400.
-5*(v + 1)*(v + 80)
Factor v**4 - v**3/4 - 13*v**2/4 + 5*v/2.
v*(v - 1)*(v + 2)*(4*v - 5)/4
Factor -c**3/2 + 11*c**2/2 + c - 60.
-(c - 10)*(c - 4)*(c + 3)/2
Factor -3*q**3 - 300*q**2.
-3*q**2*(q + 100)
Factor 3*l**3/8 + 39*l**2/8 + 75*l/4 + 21.
3*(l + 2)*(l + 4)*(l + 7)/8
Let -m**4 + 7*m**3 + 17*m**2 + 9*m = 0. Calculate m.
-1, 0, 9
Let 5*q**3 - 20*q**2 - 75*q + 90 = 0. What is q?
-3, 1, 6
Factor -8*w**3/9 + 38*w**2/9 + 58*w/9 + 4/3.
-2*(w - 6)*(w + 1)*(4*w + 1)/9
Factor -5*w**3 + 7565*w**2 - 7550*w - 15120.
-5*(w - 1512)*(w - 2)*(w + 1)
Factor 4*u**3 + 1368*u**2 - 11136*u + 22400.
4*(u - 4)**2*(u + 350)
Suppose -2*c**5/9 + 6*c**4 - 322*c**3/9 + 34*c**2 + 76*c = 0. What is c?
-1, 0, 3, 6, 19
Solve -5*x**5 + 70*x**4 - 260*x**3 + 130*x**2 + 265*x - 200 = 0.
-1, 1, 5, 8
Factor -u**4 + 3*u**2 + 2*u.
-u*(u - 2)*(u + 1)**2
Solve d**4 + 56*d**3 + 717*d**2 + 1270*d + 608 = 0.
-38, -16, -1
Let 2*o**3/9 - 20*o**2/3 + 334*o/9 + 308/3 = 0. What is o?
-2, 11, 21
Solve -a**5 + 2*a**4 + 21*a**3 - 62*a**2 + 40*a = 0.
-5, 0, 1, 2, 4
Factor y**2/4 + 111*y/4 + 55/2.
(y + 1)*(y + 110)/4
Factor -m**4/2 + 12*m**3 - 21*m**2/2 - 23*m.
-m*(m - 23)*(m - 2)*(m + 1)/2
Find o, given that 3*o**4 + 39*o**3 + 165*o**2 + 225*o = 0.
-5, -3, 0
Solve -2*i**2/15 + 29716*i/15 - 110380082/15 = 0.
7429
Factor 2*v**3/9 + 4*v**2/9 + 2*v/9.
2*v*(v + 1)**2/9
Factor o**5/3 - 2*o**4 - 49*o**3/3 - 70*o**2/3 + 12*o + 88/3.
(o - 11)*(o - 1)*(o + 2)**3/3
Factor -4*q**3 - 388*q**2 + 1636*q + 2020.
-4*(q - 5)*(q + 1)*(q + 101)
Let 2*a**2/7 + 34*a + 236/7 = 0. Calculate a.
-118, -1
Factor -m**2/3 - 19*m/3 - 20.
-(m + 4)*(m + 15)/3
Suppose -p**2/7 - 41*p/7 + 6 = 0. What is p?
-42, 1
Factor 2*d**3/3 + 10*d**2/3 - 132*d + 432.
2*(d - 9)*(d - 4)*(d + 18)/3
Determine l, given that -3*l**4/5 - 7*l**3/5 + 33*l**2/5 - 33*l/5 + 2 = 0.
-5, 2/3, 1
Let -9*c**5 + 465*c**4 - 2304*c**3 - 2412*c**2 + 22368*c - 13248 = 0. Calculate c.
-3, 2/3, 4, 46
What is g in 3*g**5 + 33*g**4 + 114*g**3 + 156*g**2 + 72*g = 0?
-6, -2, -1, 0
Suppose 2*c**3 + 42*c**2 - 90*c + 46 = 0. What is c?
-23, 1
Factor -3*p**2 - 69*p + 72.
-3*(p - 1)*(p + 24)
Find n such that -2*n**2/11 - 210*n/11 - 412/11 = 0.
-103, -2
Factor 22*j**4 + 158*j**3 - 368*j**2 - 72*j.
2*j*(j - 2)*(j + 9)*(11*j + 2)
Determine r so that 25*r**3 - 45*r**2 + 15*r + 5 = 0.
-1/5, 1
Factor -k**5 + 129*k**4 - 4458*k**3 + 18476*k**2 + 23064*k.
-k*(k - 62)**2*(k - 6)*(k + 1)
Factor -2*n**2/11 - 120*n/11 - 232/11.
-2*(n + 2)*(n + 58)/11
Factor -4*c**4/5 - 64*c**3/5 - 116*c**2/5 - 56*c/5.
-4*c*(c + 1)**2*(c + 14)/5
Factor -8*d**2 - 3334*d + 834.
-2*(d + 417)*(4*d - 1)
Solve -v**4/7 + 10*v**3/7 + 23*v**2/7 - 132*v/7 = 0 for v.
-4, 0, 3, 11
Find l such that 2*l**5/15 + 142*l**4/15 - 88*l**3/3 + 296*l**2/15 = 0.
-74, 0, 1, 2
Find l, given that 25*l**2 - 89060*l + 35620 = 0.
2/5, 3562
Find q, given that -2*q**5/3 - 4*q**4/3 + 40*q**3/3 + 44*q**2 + 30*q = 0.
-3, -1, 0, 5
Factor -t**3/7 + 183*t**2/7 + 186*t/7 - 368/7.
-(t - 184)*(t - 1)*(t + 2)/7
Let 4*b**5 + 56*b**4 - 64*b**3 - 56*b**2 + 60*b = 0. What is b?
-15, -1, 0, 1
Factor s**2 - 2*s - 35.
(s - 7)*(s + 5)
Determine k, given that -k**3/4 + k**2 + k/4 - 1 = 0.
-1, 1, 4
Let -12*h**5 - 2*h**4 + 50*h**3 - 18*h**2 - 46*h + 28 = 0. What is h?
-2, -7/6, 1
Let 4*d**2 + 2040*d = 0. What is d?
-510, 0
What is n in -4*n**4/5 + 16*n**3/5 - 24*n**2/5 + 16*n/5 - 4/5 = 0?
1
Determine a, given that -a**4 - 6*a**3 + 15*a**2 + 100*a = 0.
-5, 0, 4
Factor 2*a**2/7 - 34*a/7 - 36/7.
2*(a - 18)*(a + 1)/7
Suppose -3*p**5 + 111*p**4 - 1416*p**3 + 7368*p**2 - 15792*p + 11760 = 0. What is p?
2, 5, 14
What is b in -13*b**3/8 + 25*b**2/2 - 197*b/8 + 55/4 = 0?
1, 22/13, 5
Factor 3*g**2/4 + 159*g/4 - 81/2.
3*(g - 1)*(g + 54)/4
Factor -j**3/2 + 265*j**2/2 + j/2 - 265/2.
-(j - 265)*(j - 1)*(j + 1)/2
Let f**4/2 - 6*f**3 + 5*f**2 + 6*f - 11/2 = 0. Calculate f.
-1, 1, 11
Factor -5*v**2 - 40*v.
-5*v*(v + 8)
Factor -2*h**2/15 - 92*h/15 - 1058/15.
-2*(h + 23)**2/15
Factor -4*z**3 + 13444*z**2 - 11289596*z - 11303044.
-4*(z - 1681)**2*(z + 1)
Factor -2*r**3 + 76*r**2 - 722*r.
-2*r*(r - 19)**2
Solve 6*q**4 - 249*q**3 + 807*q**2 - 342*q = 0.
0, 1/2, 3, 38
Factor f**3/2 - f**2/2 - 7*f + 12.
(f - 3)*(f - 2)*(f + 4)/2
Suppose b**4/4 - 179*b**3/4 - 3*b**2/4 + 535*b/4 + 179/2 = 0. What is b?
-1, 2, 179
Factor x**3 + 40*x**2 - 129*x.
x*(x - 3)*(x + 43)
Suppose -2*y**3/3 - 172*y**2/3 + 8*y/3 + 688/3 = 0. What is y?
-86, -2, 2
Find t such that -4*t**4 - 64*t**3 - 248*t**2 + 64*t + 252 = 0.
-9, -7, -1, 1
Determine s, given that -46*s**5/3 - 229*s**4/3 - 409*s**3/3 - 313*s**2/3 - 85*s/3 + 2/3 = 0.
-2, -1, 1/46
Determine g, given that 8*g**5 + 124*g**4 + 656*g**3 + 1240*g**2 + 200*g - 500 = 0.
-5, -1, 1/2
Let 5*h**3 + 15*h**2 - 20*h = 0. What is h?
-4, 0, 1
Let 16*m**5 - 8*m**4 - 87*m**3 - 89*m**2 - 29*m - 3 = 0. Calculate m.
-1, -1/4, 3
Factor u**3/9 + 97*u**2/9 + 2303*u/9 - 2401/9.
(u - 1)*(u + 49)**2/9
Solve 11*w**3/2 + 9*w**2/2 - w = 0.
-1, 0, 2/11
Determine n, given that 4*n**4 + 820*n**3 + 41612*n**2 - 42436*n = 0.
-103, 0, 1
Determine c so that -3*c**5 + 60*c**4 + 66*c**3 - 60*c**2 - 63*c = 0.
-1, 0, 1, 21
Solve 4*w**4 + 608*w**3 + 1204*w**2 + 600*w = 0.
-150, -1, 0
Suppose -3*w**3 + 1083*w**2 - 100392*w + 475260 = 0. What is w?
5, 178
Factor a**3 + 45*a**2 - 93*a + 47.
(a - 1)**2*(a + 47)
Suppose 4*w**2 - 7708*w - 7712 = 0. Calculate w.
-1, 1928
Factor -2*f**3 - 6*f**2 - 6*f - 2.
-2*(f + 1)**3
Solve -6*d**4/11 + 720*d**3/11 - 22302*d**2/11 + 41772*d/11 = 0 for d.
0, 2, 59
Determine y so that 3*y**2 + 117*y - 120 = 0.
-40, 1
Find t such that t**4 + 3*t**3 - 3*t**2 - 11*t - 6 = 0.
-3, -1, 2
Factor 2*f**3/9 - 182*f**2/9 + 176*f/3.
2*f*(f - 88)*(f - 3)/9
Find a such that -3*a**4/4 - 9*a**3/4 + 9*a**2/4 + 33*a/4 + 9/2 = 0.
-3, -1, 2
Determine i, given that 2*i**4/13 - 12*i**3/13 - 1224*i**2/13 + 2476*i/13 - 1242/13 = 0.
-23, 1, 27
Factor 2*r**3/3 + 4*r**2 - 14*r/3.
2*r*(r - 1)*(r + 7)/3
Let w**2 + 3952*w + 3904576 = 0. Calculate w.
-1976
Factor 2*y**5/9 + 2*y**4/9 - 10*y**3/9 - 2*y**2/9 + 16*y/9 - 8/9.
2*(y - 1)**3*(y + 2)**2/9
Determine x so that -5*x**3/4 + 15*x**2 - 60*x + 80 = 0.
4
Solve -28*i**5 - 148*i**4 + 436*i**3 + 724*i**2 + 168*i = 0.
-7, -1, -2/7, 0, 3
What is c in c**5/5 + 16*c**4 + 384*c**3/5 + 682*c**2/5 + 527*c/5 + 30 = 0?
-75, -2, -1
Let 4*w**3 - 8*w**2 - 60*w + 144 = 0. Calculate w.
-4, 3
Suppose 12*q**5 + 1412*q**4 + 41288*q**3 - 15336*q**2 - 41300*q + 13924 = 0. What is q?
-59, -1, 1/3, 1
Let -40*m**4/9 - 166*m**3/9 - 224*m**2/9 - 110*m/9 - 4/3 = 0. What is m?
-2, -1, -3/20
Suppose f**4 - 26*f**3 + 141*f**2 + 364*f + 196 = 0. Calculate f.
-1, 14
Let -2*s**4/13 + 8*s**3/13 - 2*s**2/13 - 12*s/13 = 0. What is s?
-1, 0, 2, 3
Factor -c**2/11 - 2*c/11 + 48/11.
-(c - 6)*(c + 8)/11
Suppose 2*i**5 + 54*i**4/5 + 20*i**3 + 72*i**2/5 + 16*i/5 = 0. What is i?
-2, -1, -2/5, 0
Factor -v**5 + 66*v**4 - 1021*v**3 - 2244*v**2 - 1156*v.
-v*(v - 34)**2*(v + 1)**2
Solve 6*z**4/13 + 82*z**3/13 + 46*z**2/13 - 82*z/13 - 4 = 0.
-13, -1, -2/3, 1
Suppose 24*u**4 - 70*u**3 - 30*u**2 + 70*u + 6 = 0. Calculate u.
-1, -1/12, 1, 3
Solve -16*w**5/11 + 102*w**4/11 - 180*w**3/11 + 54*w**2/11 = 0 for w.
0, 3/8, 3
Factor -3*j**3 - 81*j**2.
-3*j**2*(j + 27)
Determine u, given that -u**4/3 + 13*u**3/3 - 13*u**2 + 9*u = 0.
0, 1, 3, 9
Factor -2*u**2/11 - 12*u/11 + 32/11.
-2*(u - 2)*(u + 8)/11
Factor -4*f**2/9 - 4*f.
-4*f*(f + 9)/9
Determine a, given that 3*a**5/8 + 3*a**4/8 - 9*a**3 + 27*a**2/2 = 0.
-6, 0, 2, 3
Factor 2*i**3/5 + 2*i**2 + 4*i/5 - 16/5.
2*(i - 1)*(i + 2)*(i + 4)/5
Determine q so that 5*q**4 + 15*q**3 + 15*q**2 + 5*q = 0.
-1, 0
Factor -20*l**4 + 48*l**3 - 16*l**2.
-4*l**2*(l - 2)*(5*l - 2)
Factor l**3/3 + 10*l**2/3 - 23*l/3 + 4.
(l - 1)**2*(l + 12)/3
Factor 2*m**2/9 + 36*m - 656/9.
2*(m - 2)*(m + 164)/9
Solve 2*z**5/7 + 34*z**4/7 + 32*z**3/7 = 0.
-16, -1, 0
Factor -3*i**3 - 2*i**2 + i.
-i*(i + 1)*(3*i - 1)
Find j, given that 