 2)**2
Find y such that 4*y**3 + 228*y**2 + 2604*y + 8428 = 0.
-43, -7
Determine j so that 135*j**4/4 - 1011*j**3/8 + 759*j**2/8 + 57*j - 45/2 = 0.
-5/9, 3/10, 2
Factor 2*d**4/11 - 98*d**3/11 + 1248*d**2/11 - 1152*d/11.
2*d*(d - 24)**2*(d - 1)/11
Factor 4*v**3 - 2080*v**2/7 + 38924*v/7 - 10952/7.
4*(v - 37)**2*(7*v - 2)/7
Factor -m**3 + 461*m**2 - 1823*m - 2285.
-(m - 457)*(m - 5)*(m + 1)
Determine z, given that 4*z**5 - 218*z**4 + 2528*z**3 + 13076*z**2 - 14964*z - 75690 = 0.
-3, 5/2, 29
Factor -5*a**2 + 15*a - 10.
-5*(a - 2)*(a - 1)
Determine c so that 10*c**4/3 - 8*c**3 - 22*c**2/3 + 4*c = 0.
-1, 0, 2/5, 3
Suppose -28*x**4 + 44*x**3 + 52*x**2 - 44*x - 24 = 0. What is x?
-1, -3/7, 1, 2
Let -2*n**2 - 256*n - 1920 = 0. Calculate n.
-120, -8
Factor 3*u**2 + 333*u/7 - 48/7.
3*(u + 16)*(7*u - 1)/7
Let i**2/6 - 592*i/3 + 175232/3 = 0. What is i?
592
Suppose 2*m**2/9 + 3020*m/9 + 1140050/9 = 0. Calculate m.
-755
Solve 2*g**3 + 212*g**2 + 416*g = 0.
-104, -2, 0
Determine u so that 12*u**4 - 333*u**3 - 435*u**2 = 0.
-5/4, 0, 29
Factor -3*u**2 - 576*u - 27648.
-3*(u + 96)**2
Factor r**2 + 57*r/2 + 153/2.
(r + 3)*(2*r + 51)/2
Suppose 2*r**5/5 - 6*r**4/5 - 24*r**3/5 + 8*r**2 + 96*r/5 = 0. Calculate r.
-2, 0, 3, 4
Factor i**3/3 - 7*i/3 + 2.
(i - 2)*(i - 1)*(i + 3)/3
What is m in -4*m**2 - 860*m = 0?
-215, 0
Determine a, given that 525*a**3 - 80*a**2 - 316*a - 80 = 0.
-2/5, 20/21
Solve -c**5/6 + 19*c**4/3 + c**3/2 - 58*c**2/3 + 38*c/3 = 0.
-2, 0, 1, 38
Factor -3*w**3/4 + 15*w**2/4 + 27*w.
-3*w*(w - 9)*(w + 4)/4
Factor -2*m**2 + 60*m - 162.
-2*(m - 27)*(m - 3)
Suppose -11*q**3/4 - 83*q**2/4 - 21*q/2 = 0. Calculate q.
-7, -6/11, 0
Determine f, given that -3*f**5 + 81*f**4 + 270*f**3 + 12*f**2 - 360*f = 0.
-2, 0, 1, 30
Find k, given that k**4 - 4*k**3 - 13*k**2 + 4*k + 12 = 0.
-2, -1, 1, 6
Factor i**3/7 - 47*i**2/7 + 90*i/7.
i*(i - 45)*(i - 2)/7
Factor 5*z**5 + 800*z**4 + 5445*z**3 + 13870*z**2 + 15340*z + 6120.
5*(z + 1)*(z + 2)**3*(z + 153)
Determine g, given that -g**3 + 210*g**2 + 211*g = 0.
-1, 0, 211
Factor 5*u**4 - 5*u**3 - 110*u**2 - 220*u - 120.
5*(u - 6)*(u + 1)*(u + 2)**2
Suppose -4*u**3 + 1308*u**2 - 106272*u - 107584 = 0. Calculate u.
-1, 164
Solve 3*m**3/5 + 18666*m**2/5 + 38713284*m/5 + 26763783672/5 = 0.
-2074
Factor b**2/4 - 686*b + 470596.
(b - 1372)**2/4
Factor l**5/8 - 3*l**4/4 + 11*l**3/8 - l**2/4 - 3*l/2 + 1.
(l - 2)**3*(l - 1)*(l + 1)/8
Suppose 3*q**3 + 3*q**2 - 3780*q = 0. What is q?
-36, 0, 35
Find s, given that 2*s**4/7 - 26*s**3/7 - 480*s**2/7 - 1224*s/7 + 1728/7 = 0.
-6, 1, 24
Factor -p**2 - 13*p - 40.
-(p + 5)*(p + 8)
Let 2*g**4 + 40*g**3 + 36*g**2 - 1512*g + 2970 = 0. What is g?
-15, -11, 3
Factor -u**4 - u**3 + 12*u**2 + 28*u + 16.
-(u - 4)*(u + 1)*(u + 2)**2
Factor -10*d**4 - 25*d**3 - 5*d**2 + 10*d.
-5*d*(d + 1)*(d + 2)*(2*d - 1)
Suppose -a**3/5 - 18*a**2/5 + 144*a/5 = 0. What is a?
-24, 0, 6
Factor -808020*y**2 - 4020*y - 5.
-5*(402*y + 1)**2
Suppose -x**3/4 + 13*x**2/4 - 55*x/4 + 75/4 = 0. Calculate x.
3, 5
Factor -207*y**2/7 + 249*y/7 - 6.
-3*(y - 1)*(69*y - 14)/7
Suppose -3*b**4/5 + 18*b**3 + 324*b**2/5 - 906*b/5 + 99 = 0. Calculate b.
-5, 1, 33
Find q, given that 2*q**3/3 + 6*q**2 - 68*q/3 + 16 = 0.
-12, 1, 2
Factor -2*w**3 - 4*w**2 + 114*w - 108.
-2*(w - 6)*(w - 1)*(w + 9)
Factor -2*v**5/3.
-2*v**5/3
Let -2*f**4/11 + 558*f**3/11 - 38640*f**2/11 - 39200*f/11 = 0. Calculate f.
-1, 0, 140
Factor 48*z**3 - 100*z**2 + 56*z - 4.
4*(z - 1)**2*(12*z - 1)
Factor -d**5 - 15*d**4 - 61*d**3 - 21*d**2 + 98*d.
-d*(d - 1)*(d + 2)*(d + 7)**2
Find y, given that -2*y**2/3 + 16*y + 104/3 = 0.
-2, 26
What is o in -32*o**4/3 - 280*o**3/3 - 132*o**2 - 8*o/3 + 140/3 = 0?
-7, -5/4, -1, 1/2
Find d such that 4*d**3 + 444*d**2 - 1360*d + 912 = 0.
-114, 1, 2
Find l such that -7*l**4/4 + 33*l**3/4 - 8*l**2 - 3*l = 0.
-2/7, 0, 2, 3
What is y in 2*y**2/11 + 304*y/11 - 306/11 = 0?
-153, 1
Solve -4*o**2 - 32440*o - 65772100 = 0 for o.
-4055
Find p such that -2*p**4 + 6*p**3 + 4*p**2 - 24*p + 16 = 0.
-2, 1, 2
Factor -15*q**2 - 492*q - 924.
-3*(q + 2)*(5*q + 154)
Suppose 3*r**5/8 + 45*r**4/4 - 33*r**3/8 - 261*r**2/2 - 411*r/2 - 90 = 0. What is r?
-30, -2, -1, 4
Factor -3*d**2 - 33*d - 30.
-3*(d + 1)*(d + 10)
What is v in v**5 - 13*v**4 - 98*v**3 + 132*v**2 + 216*v = 0?
-6, -1, 0, 2, 18
Find l such that -l**3/7 + 2*l**2/7 + l/7 - 2/7 = 0.
-1, 1, 2
Solve 63*x**4 + 69*x**3 - 1002*x**2 - 1104*x - 96 = 0 for x.
-4, -1, -2/21, 4
Factor 3*c**3/2 - 21*c**2 - 93*c/2 - 24.
3*(c - 16)*(c + 1)**2/2
Factor 15*x**3 + 2388*x**2 - 9588*x/5 + 384.
3*(x + 160)*(5*x - 2)**2/5
Factor -24843*z**5 + 98280*z**4 - 95016*z**3 - 4320*z**2 - 48*z.
-3*z*(z - 2)**2*(91*z + 2)**2
Let -3*h**3 + 42*h**2 - 171*h + 216 = 0. Calculate h.
3, 8
Factor b**4 + 23*b**3 - 75*b**2 + 77*b - 26.
(b - 1)**3*(b + 26)
Determine s so that 2*s**3/7 - 108*s**2/7 + 594*s/7 - 864/7 = 0.
3, 48
Let 4*l**4/3 + 176*l**3/3 + 56*l**2 - 176*l/3 - 172/3 = 0. What is l?
-43, -1, 1
Factor b**5/2 - 3*b**4/2 - 8*b**3 - 6*b**2.
b**2*(b - 6)*(b + 1)*(b + 2)/2
Factor 3*c**3 - 78*c**2 + 507*c.
3*c*(c - 13)**2
What is i in -12*i**4 - 99*i**3 - 24*i**2 = 0?
-8, -1/4, 0
What is v in 7*v**4/2 - 27*v**3 + 131*v**2/2 - 42*v - 18 = 0?
-2/7, 2, 3
Factor 3*j**3/5 - 27*j**2/5 - 108*j/5.
3*j*(j - 12)*(j + 3)/5
Determine g, given that 147*g**4/5 + 10668*g**3/5 + 193548*g**2/5 = 0.
-254/7, 0
What is y in -60500*y**2/3 - 1100*y/3 - 5/3 = 0?
-1/110
Factor q**3/4 - 8*q**2 + 21*q/4 + 2205/2.
(q - 21)**2*(q + 10)/4
Factor 4*n**2 - 976*n + 4780.
4*(n - 239)*(n - 5)
Factor 15*z**4 + 51*z**3 + 9*z**2 - 27*z.
3*z*(z + 1)*(z + 3)*(5*z - 3)
Factor 3*h**3/5 - 993*h**2/5 + 1977*h/5 - 987/5.
3*(h - 329)*(h - 1)**2/5
Solve -3*j**3 + 24*j**2 - 57*j + 36 = 0.
1, 3, 4
Let -9*y**2/4 - 111*y/4 + 39/2 = 0. Calculate y.
-13, 2/3
Factor 3*j**3/5 + 24*j**2/5.
3*j**2*(j + 8)/5
What is a in 4*a**2 - 32*a - 36 = 0?
-1, 9
Factor -q**4 - 11*q**3 - 45*q**2 - 81*q - 54.
-(q + 2)*(q + 3)**3
Factor 4*s**4 + 1924*s**3 - 1928*s**2.
4*s**2*(s - 1)*(s + 482)
Suppose 2*b**4/21 - 8*b**3/21 + 10*b**2/21 - 4*b/21 = 0. What is b?
0, 1, 2
Determine i, given that 2*i**5/15 + 2*i**4/5 - 14*i**3/5 - 14*i**2/15 + 8*i - 24/5 = 0.
-6, -2, 1, 3
Factor 3*z**4 + 360*z**3 + 12696*z**2 + 111456*z + 174960.
3*(z + 2)*(z + 10)*(z + 54)**2
Solve -4*n**4 + 40*n**3 + 76*n**2 - 304*n - 528 = 0.
-2, 3, 11
Solve 4*c**2 + 5756*c + 5752 = 0.
-1438, -1
Factor 8*l**3 + 170*l**2 + 202*l + 40.
2*(l + 1)*(l + 20)*(4*l + 1)
Factor n**4/7 + 2*n**3 - 3*n**2/7 - 40*n/7 + 4.
(n - 1)**2*(n + 2)*(n + 14)/7
Factor 2*m**3 - 16*m**2 - 2*m + 16.
2*(m - 8)*(m - 1)*(m + 1)
Suppose s**3/8 + 33*s**2/2 + 1089*s/2 = 0. Calculate s.
-66, 0
Determine t so that -3*t**2/5 - 186*t/5 - 2883/5 = 0.
-31
Let 3*n**3 + 13*n**2 - 59*n - 21 = 0. What is n?
-7, -1/3, 3
Find z, given that 3*z**5 + 12*z**4 - 42*z**3 - 216*z**2 - 81*z + 324 = 0.
-3, 1, 4
Suppose -2*u**4 - 16*u**3 + 78*u**2 + 340*u - 400 = 0. Calculate u.
-10, -4, 1, 5
Determine m, given that m**2 - 3064*m + 2347024 = 0.
1532
Factor -c**5 + 8*c**4 - 21*c**3 + 18*c**2.
-c**2*(c - 3)**2*(c - 2)
Factor -x**3 - 433*x**2 - 47515*x - 138675.
-(x + 3)*(x + 215)**2
Suppose -10*q**2 + 116*q/9 - 32/9 = 0. Calculate q.
2/5, 8/9
Suppose -6*j**5 - 33*j**4 - 24*j**3 + 57*j**2 + 30*j - 24 = 0. Calculate j.
-4, -2, -1, 1/2, 1
Factor f**3/2 - 31*f**2 - 63*f/2.
f*(f - 63)*(f + 1)/2
Let -3*x**5 - 9*x**4 + 3*x**3 + 33*x**2 + 36*x + 12 = 0. Calculate x.
-2, -1, 2
Determine j so that -2*j**2 - 72*j + 74 = 0.
-37, 1
Suppose 5*q**4/3 - 6*q**3 + 17*q**2/3 - 4/3 = 0. What is q?
-2/5, 1, 2
Solve 3*x**4/7 - 324*x**3/7 + 8418*x**2/7 + 17820*x/7 + 9075/7 = 0 for x.
-1, 55
Factor -5*t**2 + 1740*t + 3500.
-5*(t - 350)*(t + 2)
Determine j, given that -2*j**4/3 - 34*j**3/3 - 22*j**2/3 + 154*j/3 - 32 = 0.
-16, -3, 1
Suppose -5*l**5 - 15*l**4 - 15*l**3 - 5*l**2 = 0. What is l?
-1, 0
Factor -4*b**3 + 256*b**2 - 4096*b.
-4*b*(b - 32)**2
Let -2*p**5 - 6*p**4 + 26*p**3 + 102*p**2 + 72*p = 0. Calculate p.
-3, -1, 0, 4
Let 6*f**5/5 - 942*f**4/5 - 954*f**3/5 + 942*f**2/5 + 948*f/5 = 0. What is f?
-1, 0, 1, 158
Let -2*f**5/11 + 2*f**4/11 + 18*f**3/11 - 2*f**2/11 - 40*f/11 - 24/11 = 0. Calculate f.
-2, -1, 2, 3
Factor -a**3 + 11*a**2 - 8*a - 20.
-(a - 10)*(a - 2)*(a + 1)
Factor 2*f**3/3 - 184*f**2/3 + 1160*f