- 12*o - 4.
4*(o - 1)*(o + 1)**4
Factor -2*v**4/5 + 24*v**3/5 + 192*v**2/5 + 416*v/5 + 288/5.
-2*(v - 18)*(v + 2)**3/5
Factor -3*t**2 + 333*t + 1380.
-3*(t - 115)*(t + 4)
Factor -2*k**4/7 - 18*k**3/7.
-2*k**3*(k + 9)/7
Suppose -4*o**2 - 12*o + 16 = 0. What is o?
-4, 1
Let -3*m**2 - 2448*m - 499392 = 0. What is m?
-408
Suppose -2*g**3/9 - 188*g**2/9 - 550*g/9 - 364/9 = 0. What is g?
-91, -2, -1
Factor 4*b**3 - 44*b**2 + 140*b - 100.
4*(b - 5)**2*(b - 1)
Factor -q**4 - 7*q**3 - 16*q**2 - 12*q.
-q*(q + 2)**2*(q + 3)
Factor 4*u**2 + 52*u + 160.
4*(u + 5)*(u + 8)
Find q, given that 3*q**5 + 96*q**4 - 735*q**3 - 1920*q**2 + 732*q + 1824 = 0.
-38, -2, -1, 1, 8
Factor x**3 + 26*x**2 - 337*x - 770.
(x - 11)*(x + 2)*(x + 35)
Let g**5 + 3*g**4/4 - 17*g**3/4 - 3*g**2 + g = 0. Calculate g.
-2, -1, 0, 1/4, 2
Factor -r**2/3 - 24*r - 432.
-(r + 36)**2/3
Let -9*m**5/5 + 696*m**4/5 - 836*m**3 + 9578*m**2/5 - 1927*m + 710 = 0. What is m?
1, 5/3, 2, 71
Let 2*f**2/7 - 24*f/7 = 0. What is f?
0, 12
Let -15*h**5/4 - 627*h**4/4 - 4929*h**3/4 - 7269*h**2/4 - 546*h + 192 = 0. Calculate h.
-32, -8, -1, 1/5
What is j in 2*j**5/9 + 10*j**4 - 110*j**3/9 - 90*j**2 + 92*j = 0?
-46, -3, 0, 1, 3
Factor 5*s**4 - 60*s**3 - 5*s**2 + 60*s.
5*s*(s - 12)*(s - 1)*(s + 1)
What is w in 5*w**4 + 105*w**3 + 95*w**2 - 105*w - 100 = 0?
-20, -1, 1
Factor -4*j**3 - 16*j**2 + 20*j.
-4*j*(j - 1)*(j + 5)
Factor 4*k**4 - 64*k**3 + 348*k**2 - 720*k + 432.
4*(k - 6)**2*(k - 3)*(k - 1)
Find m, given that 2*m**4/9 - 8*m**2/9 = 0.
-2, 0, 2
What is v in -6*v**5/5 + 98*v**4/5 - 542*v**3/5 + 214*v**2 - 60*v = 0?
0, 1/3, 5, 6
Factor -2*m**3/11 - 38*m**2/11 - 18*m - 162/11.
-2*(m + 1)*(m + 9)**2/11
Let -2*k**2/13 + 42*k/13 - 136/13 = 0. Calculate k.
4, 17
Factor 121*i**2 - 88*i/3 + 16/9.
(33*i - 4)**2/9
Factor 80*g**4 - 9860*g**3 + 305040*g**2 - 75645*g.
5*g*(2*g - 123)**2*(4*g - 1)
Suppose -3*z**2/5 + 1452*z - 878460 = 0. Calculate z.
1210
Determine p so that -p**4/8 + 419*p**3/8 - 5460*p**2 - 11025*p/2 = 0.
-1, 0, 210
Suppose -18*k**2 - 274*k - 60 = 0. What is k?
-15, -2/9
What is i in 27*i**3 - 219*i**2 + 456*i - 48 = 0?
1/9, 4
Determine w so that w**2/2 - 117*w/2 + 676 = 0.
13, 104
Let 3*r**3 - 21*r**2 + 45*r - 27 = 0. What is r?
1, 3
Suppose -4*p**2 + 7936*p - 3936256 = 0. Calculate p.
992
Factor k**2/5 + 11094*k/5 + 30769209/5.
(k + 5547)**2/5
Factor 3*j**3/2 + 51*j**2 - 1875*j/2 - 987.
3*(j - 14)*(j + 1)*(j + 47)/2
Find x such that 30*x**5 - 82655*x**4/2 + 14265700*x**3 - 45022725*x**2/2 + 9470320*x - 1183360 = 0.
1/4, 1/3, 1, 688
Let b**2/4 - 9*b/4 + 5 = 0. What is b?
4, 5
Factor 30*c**5 - 125*c**4 + 140*c**3 - 20*c**2.
5*c**2*(c - 2)**2*(6*c - 1)
Solve -16*b**3 + 420*b**2 + 772*b + 336 = 0 for b.
-1, -3/4, 28
Factor -2*x**2 + 196*x + 5566.
-2*(x - 121)*(x + 23)
Factor 4*r**2 + 500*r - 2600.
4*(r - 5)*(r + 130)
Factor 5*h**4 - 265*h**3 + 3365*h**2 + 4185*h - 7290.
5*(h - 27)**2*(h - 1)*(h + 2)
Let 3*q**4 - 33*q**3 + 102*q**2 - 72*q = 0. Calculate q.
0, 1, 4, 6
Factor -3*x**2 + 1368*x - 155952.
-3*(x - 228)**2
Determine q, given that 5*q**5 - 255*q**4 + 3920*q**3 - 15180*q**2 - 19360*q = 0.
-1, 0, 8, 22
Solve -2*g**5/7 - 82*g**4/21 - 178*g**3/21 - 2*g**2/7 + 184*g/21 + 88/21 = 0.
-11, -2, -1, -2/3, 1
What is i in -16*i**5 + 20*i**4 + 44*i**3 - 28*i**2 - 28*i + 8 = 0?
-1, 1/4, 1, 2
Let -y**5 - 29*y**4 - 105*y**3 - 127*y**2 - 50*y = 0. What is y?
-25, -2, -1, 0
Let -3*x**4 - 12*x**3 - 15*x**2 - 6*x = 0. Calculate x.
-2, -1, 0
Factor -4*d**4/5 + 596*d**3/5 + 1812*d**2/5 + 364*d + 608/5.
-4*(d - 152)*(d + 1)**3/5
Factor a**3/7 + 2*a**2/7 - 19*a/7 - 20/7.
(a - 4)*(a + 1)*(a + 5)/7
Let 3*w**4/5 + 318*w**3/5 + 891*w**2 + 11664*w/5 - 8748 = 0. What is w?
-90, -9, 2
Suppose -4*u**5 + 208*u**4 + 452*u**3 - 1056*u**2 - 1296*u = 0. Calculate u.
-3, -1, 0, 2, 54
Solve -d**3/7 - 19*d**2/7 + 4*d/7 + 76/7 = 0.
-19, -2, 2
What is d in 4*d**2/3 - 176*d/3 + 1936/3 = 0?
22
Solve 8*i**3 - 2*i**2 - 8*i + 2 = 0 for i.
-1, 1/4, 1
Factor 3*r**4/4 + 21*r**3/4 + 27*r**2/2 + 15*r + 6.
3*(r + 1)*(r + 2)**3/4
Suppose 5*z**4 + 33*z**3 - 99*z**2 + 79*z - 18 = 0. Calculate z.
-9, 2/5, 1
Suppose l**5/4 + 23*l**4 + 2115*l**3/4 - 23*l**2 - 529*l = 0. What is l?
-46, -1, 0, 1
Solve -d**2 - d + 2 = 0 for d.
-2, 1
Factor x**5/4 + 11*x**4/4 + 13*x**3/2 + 4*x**2.
x**2*(x + 1)*(x + 2)*(x + 8)/4
Factor 3*l**4 + 843*l**3 + 61284*l**2 + 288972*l + 228528.
3*(l + 1)*(l + 4)*(l + 138)**2
Factor 2*p**2/19 - 10*p/19 - 12/19.
2*(p - 6)*(p + 1)/19
Find b, given that -33*b**4/5 - 2019*b**3/5 - 333*b**2/5 + 2019*b/5 + 366/5 = 0.
-61, -1, -2/11, 1
Factor -2*d**3/5 - 2*d**2/5 + 24*d/5.
-2*d*(d - 3)*(d + 4)/5
Solve o**3/3 - 395*o**2/3 = 0 for o.
0, 395
Determine z, given that -2*z**5/9 - 262*z**4/3 + 5564*z**3/9 - 14360*z**2/9 + 1776*z - 6400/9 = 0.
-400, 1, 2
Determine h, given that -2*h**2/5 + 246*h/5 - 244/5 = 0.
1, 122
Suppose 3*z**4 + 33*z**3 + 78*z**2 + 48*z = 0. Calculate z.
-8, -2, -1, 0
Let 5*l**4/2 + 815*l**3/2 + 2415*l**2/2 + 2405*l/2 + 400 = 0. What is l?
-160, -1
Solve -3*u**2/5 - 459*u/5 - 456/5 = 0.
-152, -1
Suppose s**5/7 + 3*s**4/7 - 41*s**3/7 + 15*s**2 - 104*s/7 + 36/7 = 0. What is s?
-9, 1, 2
Factor o**2 + 22*o - 23.
(o - 1)*(o + 23)
Factor 14*w**2 - 45*w - 44.
(w - 4)*(14*w + 11)
Find t, given that 2*t**2/5 + 2*t/5 - 2112/5 = 0.
-33, 32
Find s such that -s**5/4 + 19*s**4/4 - 119*s**3/4 + 329*s**2/4 - 102*s + 45 = 0.
1, 2, 3, 10
Let 4*z**2 + 88*z = 0. What is z?
-22, 0
Find g, given that -28*g**3 - 748*g**2 - 512*g + 208 = 0.
-26, -1, 2/7
Find c, given that 3*c**5 + 22*c**4 + 25*c**3 - 90*c**2 - 128*c - 32 = 0.
-4, -1, -1/3, 2
Factor -c**4/8 - 17*c**3/8 + 19*c**2/8 + 17*c/8 - 9/4.
-(c - 1)**2*(c + 1)*(c + 18)/8
Solve -4*t**4 + 42*t**3 - 106*t**2 + 48*t + 56 = 0.
-1/2, 2, 7
Find a such that -3*a**5/7 - 10*a**4/7 + 9*a**3/7 + 4*a**2/7 = 0.
-4, -1/3, 0, 1
Factor f**5/3 + f**4/3 - 8*f**3 - 88*f**2/3 - 112*f/3 - 16.
(f - 6)*(f + 1)*(f + 2)**3/3
Determine m so that 2*m**2/9 - 3958*m/9 = 0.
0, 1979
Factor -3*x**3 + 133*x**2/3 + 10*x.
-x*(x - 15)*(9*x + 2)/3
Find z such that z**4/4 - 3*z**3/2 - 93*z**2/4 - 127*z/2 - 42 = 0.
-4, -3, -1, 14
Solve 4*u**5 + 285*u**4 + 1679*u**3 + 3554*u**2 + 2868*u + 520 = 0 for u.
-65, -2, -1/4
Factor -4*l**3 - 32*l**2 - 76*l - 48.
-4*(l + 1)*(l + 3)*(l + 4)
Solve 2*f**5/3 - 16*f**4/3 + 16*f**3 - 64*f**2/3 + 32*f/3 = 0.
0, 2
Determine b, given that -2*b**5 - 66*b**4 - 630*b**3 - 1342*b**2 + 240*b + 1800 = 0.
-15, -2, 1
Factor -p**2/7 + 30*p/7 - 225/7.
-(p - 15)**2/7
What is o in 10*o**5/17 + 66*o**4/17 + 32*o**3/17 - 24*o**2/17 = 0?
-6, -1, 0, 2/5
What is u in u**3 - 63*u**2 = 0?
0, 63
Factor p**3/2 + 17*p**2 - 74*p + 76.
(p - 2)**2*(p + 38)/2
Solve 2*n**2 + 91*n/4 + 33/4 = 0.
-11, -3/8
Suppose -2*a**4/13 - 378*a**3/13 + 2*a**2/13 + 378*a/13 = 0. What is a?
-189, -1, 0, 1
Factor -2*i**4/7 + 4*i**3 - 144*i**2/7 + 320*i/7 - 256/7.
-2*(i - 4)**3*(i - 2)/7
Factor r**2/7 + 3*r.
r*(r + 21)/7
Solve -2*s**2 - 102*s - 100 = 0 for s.
-50, -1
Factor -2*d**3/13 + 10*d**2/13 + 2*d + 14/13.
-2*(d - 7)*(d + 1)**2/13
Suppose -2*y**5/3 + 4*y**4 - 4*y**3 - 40*y**2/3 + 26*y - 12 = 0. What is y?
-2, 1, 3
Factor -2*h**3/17 - 42*h**2/17 - 270*h/17 - 550/17.
-2*(h + 5)**2*(h + 11)/17
Factor -2*v**3/15 + 92*v**2/15 + 2*v/15 - 92/15.
-2*(v - 46)*(v - 1)*(v + 1)/15
Suppose -225*o**5 - 1005*o**4 - 1071*o**3 - 207*o**2 + 120*o + 36 = 0. What is o?
-3, -1, -2/5, 1/3
Factor -o**2/2 + 109*o/2.
-o*(o - 109)/2
Let -4*c**2 + 88*c + 92 = 0. Calculate c.
-1, 23
Factor 3*m**2 + 3*m - 36.
3*(m - 3)*(m + 4)
Factor 5*b**4 + 9000*b**3 + 5400000*b**2 + 1080000000*b.
5*b*(b + 600)**3
Find j, given that -2*j**3/3 + 20*j**2/3 + 2*j/3 - 20/3 = 0.
-1, 1, 10
Factor 2*j**2/5 + 192*j/5 + 4608/5.
2*(j + 48)**2/5
Factor 10*d**2/11 + 4998*d/11 - 1000/11.
2*(d + 500)*(5*d - 1)/11
Factor 4*l**4 - 120*l**3 - 256*l**2.
4*l**2*(l - 32)*(l + 2)
Let -4*t**2 - 10424*t - 6791236 = 0. What is t?
-1303
Factor -v**4/6 + 5*v**3/6 + 7*v**2/6 - 5*v/6 - 1.
-(v - 6)*(v - 1)*(v + 1)**2/6
What is c in 4*c**5 + 72*c**4 - 8*c**3 - 144*c**2 + 4*c + 72 = 0?
-18, -1, 1
Determine v, given that -3*v**5 + 12*v**4 + 24*v**3 - 30*v**2 - 69*v - 30 = 0.
-1, 2, 5
Factor -2*i**5 - 2*i**4 + 10*i**3 - 6*i**2.
-2*i**2*(i - 1)**2*(i + 3)
Factor 3*v**4 - 3*v**3 - 9*v**2 + 3*v + 6.
3*(v - 2)*(v - 1