e m, given that 2*m**4 + 78*m**3 - 82*m**2 - 78*m + 80 = 0.
-40, -1, 1
Suppose w**3/7 + 22*w**2/7 + 121*w/7 = 0. Calculate w.
-11, 0
Factor 3*y**3 + 126*y**2 - 129*y.
3*y*(y - 1)*(y + 43)
Factor -y**2/10 + 64*y/5 + 264/5.
-(y - 132)*(y + 4)/10
Determine j so that -2*j**2/11 + 74*j/11 + 420/11 = 0.
-5, 42
Solve -2*c**4/3 + 5060*c**3/9 + 8446*c**2/9 + 3380*c/9 = 0 for c.
-1, -2/3, 0, 845
Let -2*n**4/5 - 14*n**3/5 + 24*n**2/5 + 56*n/5 - 64/5 = 0. What is n?
-8, -2, 1, 2
Factor n**3/5 - 309*n**2/5 + 22419*n/5 + 227529/5.
(n - 159)**2*(n + 9)/5
Find d such that d**3/6 - 5*d**2/2 - 121*d/6 - 35/2 = 0.
-5, -1, 21
What is v in -4*v**3 - 284*v**2 - 5180*v - 4900 = 0?
-35, -1
Find n, given that 426*n**2 + 3825*n - 81 = 0.
-9, 3/142
Factor -i**4 + 21*i**3 - 153*i**2 + 455*i - 450.
-(i - 9)*(i - 5)**2*(i - 2)
Solve -m**5/7 - 11*m**4/7 + 5*m**3/7 + 55*m**2/7 - 4*m/7 - 44/7 = 0.
-11, -2, -1, 1, 2
What is l in 6*l**4/5 + 308*l**3/5 + 392*l**2/5 - 80*l = 0?
-50, -2, 0, 2/3
Let -3*f**5/8 + 9*f**4/8 + 39*f**3/8 - 33*f**2/8 - 9*f + 15/2 = 0. What is f?
-2, 1, 5
Factor 4*d**2 - 28*d + 48.
4*(d - 4)*(d - 3)
Determine s so that 2*s**5/5 + 4*s**4/5 - 8*s**3/5 - 16*s**2/5 = 0.
-2, 0, 2
Factor -5*s**2 + 22*s - 17.
-(s - 1)*(5*s - 17)
Factor 3*l**2/2 + 1188*l - 2379/2.
3*(l - 1)*(l + 793)/2
Let 2*i**3/9 - 224*i**2/3 + 6120*i + 231200/9 = 0. What is i?
-4, 170
Suppose -2*h**2 - 30*h - 100 = 0. What is h?
-10, -5
Find l such that -28*l**3 + 85*l**2 - 3*l = 0.
0, 1/28, 3
Suppose -64*a**5 + 352*a**4 + 1788*a**3 - 8776*a**2 - 4700*a - 600 = 0. What is a?
-5, -1/4, 5, 6
Factor -s**4/2 - 10*s**3 - 17*s**2/2 + 19*s.
-s*(s - 1)*(s + 2)*(s + 19)/2
Suppose -7*w**5/5 + 44*w**4/5 - 12*w**3/5 - 224*w**2/5 + 64*w/5 = 0. What is w?
-2, 0, 2/7, 4
Determine h, given that 2*h**2 + 60*h - 350 = 0.
-35, 5
Factor 3*z**3/8 + 219*z**2/8 - 111*z/4.
3*z*(z - 1)*(z + 74)/8
Find t such that -t**2 - 6652*t - 11062276 = 0.
-3326
What is v in -v**5 + 20*v**4 - 138*v**3 + 396*v**2 - 405*v = 0?
0, 3, 5, 9
Factor -b**4/3 + 10*b**3/3 + b**2 - 32*b/3 + 20/3.
-(b - 10)*(b - 1)**2*(b + 2)/3
Solve -516*n**2 + 507*n + 9 = 0 for n.
-3/172, 1
Factor 2*q**4 - 28*q**3 + 106*q**2 - 152*q + 72.
2*(q - 9)*(q - 2)**2*(q - 1)
Factor 4*t**3 - 20*t**2 + 32*t - 16.
4*(t - 2)**2*(t - 1)
Let -i**3/3 - 22*i**2/3 - 121*i/3 = 0. What is i?
-11, 0
Let -3*v**3 - 63*v**2 + 315*v + 375 = 0. Calculate v.
-25, -1, 5
Factor -2*s**2/7 + 1828*s/7 - 417698/7.
-2*(s - 457)**2/7
Factor -3*g**4 + 306*g**3 - 900*g**2 + 894*g - 297.
-3*(g - 99)*(g - 1)**3
What is g in 196*g**5 + 112*g**4 + 16*g**3 = 0?
-2/7, 0
Solve -2*w**5/3 - 38*w**4/3 + 36*w**3 + 156*w**2 - 270*w - 378 = 0 for w.
-21, -3, -1, 3
Factor w**5 - 227*w**4 - w**3 + 227*w**2.
w**2*(w - 227)*(w - 1)*(w + 1)
Factor -3*t**2/8 - 297*t/4 + 597/8.
-3*(t - 1)*(t + 199)/8
Suppose 3645*q**2 - 1080*q + 80 = 0. Calculate q.
4/27
Factor 442*l**3/15 - 4*l**2/15.
2*l**2*(221*l - 2)/15
What is o in -3*o**3 + 105*o**2 - 294*o + 192 = 0?
1, 2, 32
What is g in -35*g**2 + 2729*g + 78 = 0?
-1/35, 78
Factor -3*r**2/5 - 1182*r/5 - 116427/5.
-3*(r + 197)**2/5
Factor u**2/7 + 2624*u/7 - 5252/7.
(u - 2)*(u + 2626)/7
Factor 7*q**2/2 - 79*q/2 + 87.
(q - 3)*(7*q - 58)/2
Factor -2*x**4 - 34*x**3 - 186*x**2 - 350*x - 196.
-2*(x + 1)*(x + 2)*(x + 7)**2
What is a in 4*a**4/9 - 472*a**3/9 + 13924*a**2/9 = 0?
0, 59
Suppose 21*o**5/10 - o**4/2 - 9*o**3/5 + 4*o**2/5 = 0. What is o?
-1, 0, 4/7, 2/3
What is g in 5*g**2/2 - 25*g - 375/2 = 0?
-5, 15
What is p in p**4/2 - 11*p**3 + 54*p**2 - 100*p + 64 = 0?
2, 16
Solve 2*y**3 + 8*y**2 + 6*y = 0 for y.
-3, -1, 0
Find k, given that k**4/4 - 3*k**3/2 - 18*k**2 + 259*k/2 - 441/4 = 0.
-9, 1, 7
Factor 45*g**2 - 55*g + 10.
5*(g - 1)*(9*g - 2)
Factor 4*f**2 + 2776*f + 2772.
4*(f + 1)*(f + 693)
Suppose -3*y**5 - 9*y**4 + 6*y**3 + 36*y**2 + 24*y = 0. What is y?
-2, -1, 0, 2
What is v in -26*v**2/7 + 36*v/7 - 10/7 = 0?
5/13, 1
Determine c so that -5*c**3 - 235*c**2 - 2640*c + 2880 = 0.
-24, 1
Suppose -3*g**5 - 3*g**4 + 12*g**3 + 12*g**2 = 0. Calculate g.
-2, -1, 0, 2
Factor -5*r**3/2 + 10*r**2 - 10*r.
-5*r*(r - 2)**2/2
Factor -g**5 + 4*g**4 - 2*g**3 - 4*g**2 + 3*g.
-g*(g - 3)*(g - 1)**2*(g + 1)
Solve -n**4/4 - n**3/2 + 11*n**2/4 + 3*n - 9 = 0 for n.
-3, 2
Factor 3*d**3/2 - 465*d**2/2 - 234*d.
3*d*(d - 156)*(d + 1)/2
Suppose 2*q**4/11 + 6*q**3/11 - 58*q**2/11 - 6*q/11 + 56/11 = 0. Calculate q.
-7, -1, 1, 4
Factor -5*p**2 + 295*p + 1950.
-5*(p - 65)*(p + 6)
Factor -o**4/4 - 12*o**3 + 25*o**2/2 + 12*o - 49/4.
-(o - 1)**2*(o + 1)*(o + 49)/4
Solve 692*j**3 + 2100*j**2 + 1456*j + 48 = 0.
-2, -1, -6/173
What is x in -21*x**5 - 211*x**4 + 216*x**3 - 44*x**2 = 0?
-11, 0, 2/7, 2/3
Determine p so that 2*p**2/5 - 14*p/5 - 68 = 0.
-10, 17
Factor 2*x**3/7 + 18*x**2/7 - 258*x/7 + 34.
2*(x - 7)*(x - 1)*(x + 17)/7
Determine p, given that -2*p**3 + 6*p - 4 = 0.
-2, 1
Let -2*k**4 + 6*k**3 + 18*k**2 + 10*k = 0. Calculate k.
-1, 0, 5
Factor -4*r**3 - 56*r**2 - 100*r - 48.
-4*(r + 1)**2*(r + 12)
Factor -3*q**2 - 90*q - 675.
-3*(q + 15)**2
Factor -2*x**2/7 + 880*x/7 - 96800/7.
-2*(x - 220)**2/7
Factor 2*j**5 - 6*j**4 - 12*j**3 + 56*j**2 - 48*j.
2*j*(j - 2)**3*(j + 3)
Determine b so that -b**5/5 - 16*b**4/5 - 33*b**3/5 + 226*b**2/5 - 176*b/5 = 0.
-11, -8, 0, 1, 2
Factor -3*i**3 + 21*i**2 + 90*i.
-3*i*(i - 10)*(i + 3)
Determine j so that -36*j**2 - 172*j + 40 = 0.
-5, 2/9
Factor -2*m**2/7 + 9896*m/7 - 12241352/7.
-2*(m - 2474)**2/7
Factor -g**2 + 316*g - 24964.
-(g - 158)**2
Suppose -2*o**4 + 72*o**3 + 6*o**2 - 212*o - 144 = 0. What is o?
-1, 2, 36
Factor -3*t**2 - 81*t - 78.
-3*(t + 1)*(t + 26)
Factor 2*y**2/3 + 79*y/6 - 10/3.
(y + 20)*(4*y - 1)/6
Let 3*o**2/7 + 354*o/7 - 51 = 0. Calculate o.
-119, 1
Let -9*n**5 + 381*n**4/2 - 63*n**3/2 = 0. What is n?
0, 1/6, 21
Suppose -2*o**2/11 + 7454*o/11 + 1356 = 0. What is o?
-2, 3729
Suppose 2*k**3/17 - 186*k**2/17 + 4032*k/17 + 13824/17 = 0. Calculate k.
-3, 48
Factor -r**4 + 3*r**3 + 6*r**2 - 8*r.
-r*(r - 4)*(r - 1)*(r + 2)
Factor 5*l**2 - 430*l + 9245.
5*(l - 43)**2
Suppose 10*a**5/7 + 24*a**4/7 - 26*a**3 + 204*a**2/7 - 8*a/7 - 48/7 = 0. What is a?
-6, -2/5, 1, 2
Factor 375*r**2 + 365*r - 10.
5*(r + 1)*(75*r - 2)
Let -7*f**4 - 60*f**3 - 95*f**2 + 90*f + 72 = 0. What is f?
-6, -3, -4/7, 1
Factor 20*v**3 - 5736*v**2 - 34524*v/5 - 10368/5.
4*(v - 288)*(5*v + 3)**2/5
Let 2*c**5 - 16*c**4 + 44*c**3 - 48*c**2 + 18*c = 0. What is c?
0, 1, 3
Determine x so that -4*x**4/3 + 12400*x**3/3 - 3207464*x**2 + 19207600*x/3 - 9597604/3 = 0.
1, 1549
Factor m**4/3 - 646*m**3 + 940897*m**2/3 - 625328*m + 937024/3.
(m - 968)**2*(m - 1)**2/3
Solve p**3/9 + 7*p**2/9 + 10*p/9 = 0.
-5, -2, 0
Determine k so that 3*k**4/2 - 237*k**3/2 + 2718*k**2 - 14904*k + 23328 = 0.
3, 4, 36
Suppose -2*o**3/3 + 3332*o**2 - 5551112*o + 9248152592/3 = 0. What is o?
1666
Factor t**4/4 + 357*t**3/2 + 130273*t**2/4 + 252042*t + 498436.
(t + 4)**2*(t + 353)**2/4
Factor 5*y**2 - 60*y - 3200.
5*(y - 32)*(y + 20)
Let k**2/2 - 19*k/2 + 17 = 0. Calculate k.
2, 17
Find t such that -4*t**4/7 - 24*t**3/7 - 16*t**2/7 + 24*t/7 + 20/7 = 0.
-5, -1, 1
Factor -5*c**2 + 1690*c.
-5*c*(c - 338)
Factor 3*i**5/2 + 213*i**4/2 + 207*i**3.
3*i**3*(i + 2)*(i + 69)/2
Factor 2*p**3/15 + 46*p**2/15 + 254*p/15 + 14.
2*(p + 1)*(p + 7)*(p + 15)/15
Factor 5*b**5 - 150*b**4 + 1330*b**3 - 3140*b**2 + 2865*b - 910.
5*(b - 14)*(b - 13)*(b - 1)**3
Determine t so that -t**5/2 + 7*t**4/2 - 17*t**3/2 + 17*t**2/2 - 3*t = 0.
0, 1, 2, 3
Suppose -v**2 + 50*v + 104 = 0. Calculate v.
-2, 52
Find h such that 3*h**3 - 33*h**2 - 195*h + 225 = 0.
-5, 1, 15
Find s, given that 12*s**5 - 26*s**4 - 44*s**3 + 32*s**2 + 32*s - 6 = 0.
-1, 1/6, 1, 3
Factor -5*o**3 - 920*o**2.
-5*o**2*(o + 184)
Suppose 7*l**4/2 + 17*l**3/2 + l**2 - 4*l = 0. Calculate l.
-2, -1, 0, 4/7
Solve d**2/4 - 8*d + 55 = 0 for d.
10, 22
Find n, given that -2*n**4 + 470*n**3 + 1902*n**2 + 2386*n + 956 = 0.
-2, -1, 239
Factor 5*m**4 - 5*m**3 - 5*m**2 + 5*m.
5*m*(m - 1)**2*(m + 1)
Find f such that 20*f**2 - 692*f - 280 = 0.
-2/5, 35
Let -3*q**3/4 - 306*q**2 + 2469*q/4 + 1845/2 = 0. Calculate q.
-410, -1, 3
Factor -4*w**4/5 - 31*w**3/5 - 69*w**2/5 - 61*w/5 - 19/5.
-(w + 1)**3*(4*w + 19)/5
Suppose g**4/4 + 9*g**3/4 + 29*g**2/4 + 39*g/4 + 9/2 = 0. What is g?
-3, -2, -1
Find k, given that