 + 108*p**3 + 232*p**2.
-4*p**2*(p - 29)*(p + 2)
Let 2*o**4/3 + 814*o**3/3 + 82412*o**2/3 - 28288*o - 55488 = 0. Calculate o.
-204, -1, 2
Suppose -n**5/4 + 21*n**3/2 + 38*n**2 + 183*n/4 + 18 = 0. What is n?
-3, -1, 8
Factor v**3/3 + 163*v**2/3 - v/3 - 163/3.
(v - 1)*(v + 1)*(v + 163)/3
Let -4*f**2/7 - 268*f/7 - 4128/7 = 0. What is f?
-43, -24
Suppose -j**2/3 - 95*j/3 + 32 = 0. Calculate j.
-96, 1
Factor 2*i**3/11 + 8*i**2/11 + 2*i/11 - 12/11.
2*(i - 1)*(i + 2)*(i + 3)/11
Suppose 3*w**5/5 - 3*w**4/5 - 12*w**3/5 + 12*w**2/5 = 0. What is w?
-2, 0, 1, 2
Determine p, given that 2*p**2 + 3214*p + 3212 = 0.
-1606, -1
Let 3*x**4/7 - 18*x**3/7 + 15*x**2/7 + 36*x/7 = 0. What is x?
-1, 0, 3, 4
Factor -5*t**3 + 890*t**2 + 11220*t + 34200.
-5*(t - 190)*(t + 6)**2
Factor 3*g**2 + 1632*g - 3276.
3*(g - 2)*(g + 546)
Factor -2*n**2 - 48*n - 46.
-2*(n + 1)*(n + 23)
Find i such that -i**4 + 75*i**3/7 - 111*i**2/7 + 25*i/7 + 18/7 = 0.
-2/7, 1, 9
Factor 3*f**3/7 + 24*f**2/7 + 33*f/7 - 60/7.
3*(f - 1)*(f + 4)*(f + 5)/7
Determine a so that 2*a**4/23 + 16*a**3/23 - 2*a**2/23 - 16*a/23 = 0.
-8, -1, 0, 1
Determine v, given that 14*v**5/3 - 46*v**4/3 + 40*v**3/3 - 8*v**2/3 = 0.
0, 2/7, 1, 2
Let -y**4/9 - 2*y**3/3 - 11*y**2/9 - 2*y/3 = 0. Calculate y.
-3, -2, -1, 0
Solve 2*f**2/5 - 11436*f/5 + 11434/5 = 0.
1, 5717
Let -m**5 + m**4 + 4*m**3 - 4*m**2 = 0. Calculate m.
-2, 0, 1, 2
Factor -5*f**2 - 350*f.
-5*f*(f + 70)
Factor 3*n**2 + 6*n - 45.
3*(n - 3)*(n + 5)
Factor 2*h**2/11 + 270*h/11 + 532/11.
2*(h + 2)*(h + 133)/11
Solve 2*s**4/15 + 32*s**3/15 + 92*s**2/15 - 96*s/5 + 54/5 = 0 for s.
-9, 1
Factor -4*p**3 - 8*p**2 + 160*p - 256.
-4*(p - 4)*(p - 2)*(p + 8)
Factor k**3/8 - k**2/8 - k/2 + 1/2.
(k - 2)*(k - 1)*(k + 2)/8
Find d such that -2*d**5 - 296*d**4/3 - 10610*d**3/9 + 3172*d**2/3 + 8600*d/3 + 10000/9 = 0.
-25, -2/3, 2
Suppose -11*b**4 - 328*b**3 - 2052*b**2 + 6016*b - 1024 = 0. What is b?
-16, 2/11, 2
Let -2*i**4/5 - 4*i**3/5 + 4*i/5 + 2/5 = 0. Calculate i.
-1, 1
Factor -5*x**3 - 20*x**2 + 160*x.
-5*x*(x - 4)*(x + 8)
Factor 3*o**2 - 474*o - 960.
3*(o - 160)*(o + 2)
Find b such that -5*b**3 + 15*b**2 + 20*b = 0.
-1, 0, 4
Factor 2*n**5 - 4*n**4 - 40*n**3 + 16*n**2 + 256*n + 256.
2*(n - 4)**2*(n + 2)**3
Find n such that 4*n**4 + 52*n**3 + 248*n**2 + 512*n + 384 = 0.
-4, -3, -2
Factor -g**3/2 - g**2/2 + 55*g.
-g*(g - 10)*(g + 11)/2
Find n, given that -3*n**4/4 + 15*n**3/4 - 3*n**2/4 - 63*n/4 + 27/2 = 0.
-2, 1, 3
Determine l so that -4*l**2 - 164*l - 312 = 0.
-39, -2
Factor 738*f**4 - 735*f**3 - 3*f**2.
3*f**2*(f - 1)*(246*f + 1)
Let 2*b**5 - 20*b**4 + 8*b**3 + 84*b**2 + 54*b = 0. Calculate b.
-1, 0, 3, 9
Factor -2*m**3/3.
-2*m**3/3
Factor -20*o**2 + 372*o + 152.
-4*(o - 19)*(5*o + 2)
Determine l so that 4*l**3 + 46*l**2 + 56*l - 40 = 0.
-10, -2, 1/2
Determine g, given that 4*g**3/7 + 88*g**2/7 - 96*g = 0.
-28, 0, 6
Determine a, given that -5*a**5 - 30*a**4 - 55*a**3 - 30*a**2 = 0.
-3, -2, -1, 0
Solve w**4/7 + 30*w**3/7 - 36*w**2/7 - 158*w/7 - 93/7 = 0 for w.
-31, -1, 3
Factor -2*q**4/19 - 254*q**3/19 + 774*q**2/19 - 778*q/19 + 260/19.
-2*(q - 1)**3*(q + 130)/19
Suppose 3*v**4/4 - 63*v**3/4 - 207*v**2/4 - 213*v/4 - 18 = 0. Calculate v.
-1, 24
Determine v so that v**5/3 + 4*v**4/3 - 13*v**3/3 - 4*v**2/3 + 4*v = 0.
-6, -1, 0, 1, 2
Let 3*t**4 - 270*t**3 + 6075*t**2 = 0. Calculate t.
0, 45
Factor 4*k**3 + 44*k**2.
4*k**2*(k + 11)
Factor 2*n**2 - 1440*n.
2*n*(n - 720)
Suppose 4*c**4/7 + 16*c**3/7 - 12*c**2/7 - 72*c/7 = 0. What is c?
-3, 0, 2
Factor -2*f**2 - 150*f.
-2*f*(f + 75)
Factor b**4 - 37*b**3 + 71*b**2 - 35*b.
b*(b - 35)*(b - 1)**2
Solve -227*q**2 - 224*q + 3 = 0 for q.
-1, 3/227
Find j such that -4*j**5/5 + 32*j**4/5 - 84*j**3/5 + 72*j**2/5 = 0.
0, 2, 3
Suppose -4*u**3 + 24*u**2 - 20*u - 48 = 0. What is u?
-1, 3, 4
Factor -2*x**3/11 + 224*x**2/11 - 6042*x/11 - 12996/11.
-2*(x - 57)**2*(x + 2)/11
Factor 3*t**5/2 + 309*t**4/2.
3*t**4*(t + 103)/2
Factor 136*m**3 - 138*m**2 - 270*m + 4.
2*(m - 2)*(m + 1)*(68*m - 1)
Factor -2*v**3 - 51*v**2 - 24*v + 25.
-(v + 1)*(v + 25)*(2*v - 1)
Factor 4*m**2 + 68*m.
4*m*(m + 17)
Let -2*u**3 + 2804*u**2 = 0. What is u?
0, 1402
Determine o, given that 2*o**5/7 + 4*o**4/7 - 2*o**3/7 - 4*o**2/7 = 0.
-2, -1, 0, 1
Let 5*x**3 - 200*x**2 + 895*x - 700 = 0. Calculate x.
1, 4, 35
Factor 16*u**3 + 44*u**2 + 24*u.
4*u*(u + 2)*(4*u + 3)
Factor -3*f**2 - 159*f + 8160.
-3*(f - 32)*(f + 85)
Determine t so that 2*t**3 - 12*t**2 - 32*t = 0.
-2, 0, 8
Factor -2*j**4/9 + 50*j**3/9 - 44*j**2/3.
-2*j**2*(j - 22)*(j - 3)/9
Determine k, given that -2*k**2/5 - 2*k - 8/5 = 0.
-4, -1
Find h such that -3*h**5 + 15*h**4 - 21*h**3 - 3*h**2 + 24*h - 12 = 0.
-1, 1, 2
Factor -g**3/3 - 91*g**2 - 6072*g + 19044.
-(g - 3)*(g + 138)**2/3
Factor -s**5/6 + s**3 - 4*s**2/3 + s/2.
-s*(s - 1)**3*(s + 3)/6
Let 32*d**4/7 - 191*d**3/7 - 38*d**2/7 + 137*d + 30/7 = 0. Calculate d.
-2, -1/32, 3, 5
Factor 3*k**4 - 22*k**3 + 31*k**2 + 40*k - 16.
(k - 4)**2*(k + 1)*(3*k - 1)
Find y such that 2*y**4/11 - 2*y**3/11 - 4*y**2/11 = 0.
-1, 0, 2
Suppose 2*h**3/15 - 14*h/15 + 4/5 = 0. Calculate h.
-3, 1, 2
Factor 3*s**3/4 - 317*s**2/4 + 105*s/2.
s*(s - 105)*(3*s - 2)/4
What is z in -2*z**5 + 2*z**4 + 54*z**3 + 54*z**2 - 108*z = 0?
-3, 0, 1, 6
Solve -4*f**5/5 - 36*f**4/5 - 92*f**3/5 - 12*f**2 = 0 for f.
-5, -3, -1, 0
Factor 2*m**3/9 - 28*m**2/9 + 86*m/9 - 20/3.
2*(m - 10)*(m - 3)*(m - 1)/9
Determine q, given that 2*q**3/3 + 20*q**2/3 - 46*q/3 - 88 = 0.
-11, -3, 4
Suppose 3*u**3/2 - 51*u**2/2 + 273*u/2 - 441/2 = 0. What is u?
3, 7
Factor 2*d**2/3 + 16*d + 88/3.
2*(d + 2)*(d + 22)/3
Suppose c**5/6 - 13*c**4/3 - 59*c**3/6 + 38*c**2/3 + 110*c/3 + 56/3 = 0. Calculate c.
-2, -1, 2, 28
Factor -2*j**3/7 - 134*j**2/7 - 388*j/7 - 256/7.
-2*(j + 1)*(j + 2)*(j + 64)/7
Let -14*c**3 - 60*c**2 + 278*c + 84 = 0. Calculate c.
-7, -2/7, 3
Solve -c**2/6 + 13*c/6 - 11/3 = 0.
2, 11
Factor -5*d**2 + 60*d + 140.
-5*(d - 14)*(d + 2)
Factor 25*p**4 - 240*p**3 - 1165*p**2 + 780*p.
5*p*(p - 13)*(p + 4)*(5*p - 3)
Factor -s**5/3 - 4*s**4/3 - 5*s**3/3 - 2*s**2/3.
-s**2*(s + 1)**2*(s + 2)/3
Factor -14884*l**3/5 + 13908*l**2/5 + 192*l + 16/5.
-4*(l - 1)*(61*l + 2)**2/5
Factor 2*g**5 - 74*g**4 + 742*g**3 - 2254*g**2.
2*g**2*(g - 23)*(g - 7)**2
Determine v, given that 2*v**4/5 - 616*v**3/5 + 12480*v**2 - 1990144*v/5 - 8998912/5 = 0.
-4, 104
Let w**2 - 6*w - 7 = 0. What is w?
-1, 7
What is p in 2*p**5/7 - 92*p**4/7 - 56*p**3 - 400*p**2/7 = 0?
-2, 0, 50
Factor -3*u**5 - 162*u**4 - 900*u**3 - 1758*u**2 - 1449*u - 432.
-3*(u + 1)**3*(u + 3)*(u + 48)
Factor -2*q**2/9 - 142*q/9 - 1760/9.
-2*(q + 16)*(q + 55)/9
Let -3*g**2 + 6*g + 9 = 0. Calculate g.
-1, 3
Let -5*b**4 - 65*b**3 - 165*b**2 - 155*b - 50 = 0. What is b?
-10, -1
Suppose x**2/3 + 14*x/3 - 32/3 = 0. What is x?
-16, 2
Factor k**3/7 + 3*k**2/7 - 27*k + 119.
(k - 7)**2*(k + 17)/7
Suppose 2*y**3/5 + 8*y**2/5 - 24*y/5 = 0. What is y?
-6, 0, 2
Factor -y**2/7 - 20*y/7 + 3.
-(y - 1)*(y + 21)/7
Factor 648*p**3 - 196020*p**2 + 19765350*p - 664335375.
3*(6*p - 605)**3
Solve s**2/11 + 925*s/11 = 0 for s.
-925, 0
Factor -d**2/4 - 525*d/4.
-d*(d + 525)/4
Factor -4*h**2/9 + 16*h/9 + 112.
-4*(h - 18)*(h + 14)/9
Factor 52*m**4 + 157*m**3 + 159*m**2 + 55*m + 1.
(m + 1)**3*(52*m + 1)
Factor 2*c**3/13 - 764*c**2/13.
2*c**2*(c - 382)/13
Let i**4/8 + 2*i**3 + 29*i**2/8 + 7*i/4 = 0. What is i?
-14, -1, 0
Factor 5*f**2 - 500*f + 12500.
5*(f - 50)**2
Let d**3/6 + d**2/2 - 2*d/3 = 0. Calculate d.
-4, 0, 1
Suppose -3*m**2/2 + 12*m - 24 = 0. Calculate m.
4
Suppose 3*n**5 - 63*n**4 + 345*n**3 - 765*n**2 + 732*n - 252 = 0. What is n?
1, 2, 3, 14
Factor 5*p**4/4 + 315*p**3/4 + 1215*p**2/2.
5*p**2*(p + 9)*(p + 54)/4
Find u such that -5*u**4 - 72*u**3 - 93*u**2 - 26*u = 0.
-13, -1, -2/5, 0
Find c such that -c**4/2 - c**3 + 7*c**2/2 + 4*c - 6 = 0.
-3, -2, 1, 2
Determine n, given that -2*n**5/11 - 2*n**4/11 + 30*n**3/11 + 18*n**2/11 - 108*n/11 = 0.
-3, 0, 2, 3
Let -18*y**4/5 + 474*y**3/5 + 3202*y**2/5 + 1974*y/5 + 64 = 0. Calculate y.
-5, -1/3, 32
Find d such that -2*d**2/5 - 44*d/5 + 96/5 = 0.
-24, 2
Factor -4*u**5/7 - 16*u**4/7 + 44*u**3/7 - 24*u**2/7.
-4*u**2*(u - 1)**2*(u + 6)/7
Factor y**3/8 - 5*y**2/4 - 37*y/8 - 13/4.
(y - 13)*(y + 1)*(y + 2)/8
Let -c**2 - 826*c - 1648 = 0. What is c?
-824, -2
Solve 