et -2*h**2 + 22*h - 48 = 0. What is h?
3, 8
Factor -2*v**2/9 + 550*v/9 - 364/3.
-2*(v - 273)*(v - 2)/9
Solve -9*a**3 - 4494*a**2 - 14856*a + 11904 = 0.
-496, -4, 2/3
Factor 2*p**4/9 - 28*p**3/9 + 50*p**2/9 - 8*p/3.
2*p*(p - 12)*(p - 1)**2/9
Factor 4*y**2 - 85*y + 21.
(y - 21)*(4*y - 1)
Factor 2*d**3/3 - 2*d**2 + 4*d/3.
2*d*(d - 2)*(d - 1)/3
Factor -36*v**2 - 14*v.
-2*v*(18*v + 7)
Solve 3*v**4/2 - 21*v**3 - 138*v**2 - 99*v + 513/2 = 0 for v.
-3, 1, 19
Determine n, given that 2*n**4/7 + 8*n**3/7 + 10*n**2/7 + 4*n/7 = 0.
-2, -1, 0
Factor -d**3 + 2*d**2 + 5*d - 6.
-(d - 3)*(d - 1)*(d + 2)
Suppose u**5/4 + 7*u**4/4 + 13*u**3/4 + u**2/4 - 7*u/2 - 2 = 0. Calculate u.
-4, -2, -1, 1
Let 3*a**3 + 102*a**2 - 111*a - 210 = 0. What is a?
-35, -1, 2
Let 3*v**4 + 15*v**3 + 18*v**2 - 12*v - 24 = 0. What is v?
-2, 1
Find a such that 2*a**2 + 56*a + 54 = 0.
-27, -1
Factor m**2 - 7*m - 78.
(m - 13)*(m + 6)
Factor -2*g**3 + 2456*g**2/7 + 1408*g/7.
-2*g*(g - 176)*(7*g + 4)/7
Find g such that -12*g**5 + 392*g**4 + 1896*g**3 + 1104*g**2 - 2492*g - 888 = 0.
-3, -2, -1/3, 1, 37
Suppose -s**3/5 + 19*s**2 - 2208*s/5 - 2304/5 = 0. Calculate s.
-1, 48
Factor -3*s**2 - 834*s + 6864.
-3*(s - 8)*(s + 286)
Find o, given that -4*o**4 - 132*o**3 - 976*o**2 + 1392*o + 2240 = 0.
-20, -14, -1, 2
Solve b**2/11 + 27*b/11 = 0.
-27, 0
Factor 2*y**4 + 30*y**3 + 98*y**2 + 114*y + 44.
2*(y + 1)**2*(y + 2)*(y + 11)
Determine u so that 18*u**4/5 - 1742*u**3/5 - 388*u**2/5 = 0.
-2/9, 0, 97
Factor -49*v**3/5 - 3248*v**2 + 9292*v/5 - 1328/5.
-(v + 332)*(7*v - 2)**2/5
Find o such that 369800*o**3 + 371520*o**2 + 1722*o + 2 = 0.
-1, -1/430
Factor -2*c**2/9 - 968*c/9 - 117128/9.
-2*(c + 242)**2/9
Let -2*t**2/11 + 33828*t/11 - 143041698/11 = 0. What is t?
8457
Factor g**3/2 - 17*g**2/2 - 81*g/2 - 63/2.
(g - 21)*(g + 1)*(g + 3)/2
Solve -3*x**3/8 - 321*x**2/2 - 3825*x/8 = 0.
-425, -3, 0
Solve -z**4/4 + 425*z**3/4 - 45787*z**2/4 + 133563*z/4 = 0 for z.
0, 3, 211
Factor -45*v**2 - 1720*v - 380.
-5*(v + 38)*(9*v + 2)
Factor l**2/3 + 2215*l/3.
l*(l + 2215)/3
Determine n so that -n**5/2 - 11*n**4/2 - 19*n**3/2 - 9*n**2/2 = 0.
-9, -1, 0
Factor -24*t**2 + 220*t + 200.
-4*(t - 10)*(6*t + 5)
Solve -3*o**2/2 + 657*o/2 + 330 = 0 for o.
-1, 220
Let -160*p**5/3 + 112*p**4 + 1030*p**3/3 + 236*p**2 + 48*p = 0. Calculate p.
-3/4, -2/5, 0, 4
Solve 5*m**2 - 340*m + 660 = 0.
2, 66
Factor 3*d**5 - 36*d**4 + 168*d**3 - 378*d**2 + 405*d - 162.
3*(d - 3)**3*(d - 2)*(d - 1)
What is y in 3*y**3 - 57*y - 90 = 0?
-3, -2, 5
Solve -9*t**3/4 - 87*t**2/4 + 129*t/4 - 33/4 = 0.
-11, 1/3, 1
Factor -2*o**3/9 - 40*o**2 - 1800*o.
-2*o*(o + 90)**2/9
Solve 2*m**2/11 - 10*m/11 + 12/11 = 0 for m.
2, 3
Find j such that -j**3 - 5*j**2 + 36*j = 0.
-9, 0, 4
Suppose -5*s**5 + 10*s**4 + 20*s**3 - 40*s**2 = 0. What is s?
-2, 0, 2
Suppose g**3/5 + 5*g**2 - 26*g/5 = 0. Calculate g.
-26, 0, 1
Let -484*u**5 - 660*u**4 - 192*u**3 - 16*u**2 = 0. Calculate u.
-1, -2/11, 0
Let 5*i**3 - 525*i**2 + 520*i = 0. Calculate i.
0, 1, 104
Factor -4*a**4 + 328*a**3 + 332*a**2.
-4*a**2*(a - 83)*(a + 1)
Solve -h**3/2 - 41*h**2 - 232*h - 304 = 0 for h.
-76, -4, -2
Find x, given that -2*x**5/9 + 8*x**4/3 - 82*x**3/9 + 28*x**2/3 = 0.
0, 2, 3, 7
Factor -2*n**2/7 - 496*n/7 - 30752/7.
-2*(n + 124)**2/7
Find r such that 3*r**5/5 - 4*r**4/5 - 44*r**3/5 - 54*r**2/5 - 7*r/5 + 2 = 0.
-2, -1, 1/3, 5
Factor -p**4 - 5*p**3 - 9*p**2 - 7*p - 2.
-(p + 1)**3*(p + 2)
Factor x**2 + 14*x - 72.
(x - 4)*(x + 18)
Solve -13*s**3/2 - 17*s**2/2 - 2*s = 0.
-1, -4/13, 0
Let 4*s**4 - 4*s**3 - 124*s**2 - 284*s - 168 = 0. What is s?
-3, -2, -1, 7
Solve 134689*k**2 + 1468*k + 4 = 0 for k.
-2/367
Factor 3*u**2 + 1980*u + 1977.
3*(u + 1)*(u + 659)
Let 3*s**3 + 27*s**2 - 6003*s - 123627 = 0. What is s?
-29, 49
Determine i, given that i**5/6 - 111*i**4/2 + 165*i**3 + 2*i**2/3 - 220*i = 0.
-1, 0, 2, 330
Determine i so that i**4 + 34*i**3 + 335*i**2 + 782*i + 480 = 0.
-16, -15, -2, -1
Find f such that 3*f**2 - 402*f = 0.
0, 134
Determine h so that -15*h**4 - 67*h**3 - 88*h**2 - 28*h = 0.
-2, -7/15, 0
What is v in 36*v**4 + 2088*v**3 - 2112*v**2 + 2120*v/3 - 236/3 = 0?
-59, 1/3
Factor 4*f**4/5 - 184*f**3/5 - 4*f**2/5 + 184*f/5.
4*f*(f - 46)*(f - 1)*(f + 1)/5
Factor 7*h**5/12 - 29*h**4/6 + 4*h**3/3.
h**3*(h - 8)*(7*h - 2)/12
Factor -4*n**4 + 44*n**3 - 40*n**2.
-4*n**2*(n - 10)*(n - 1)
Factor 1140050*p**2 + 6040*p + 8.
2*(755*p + 2)**2
Factor 2*t**2 - 1748*t + 1746.
2*(t - 873)*(t - 1)
Find o, given that 4*o**2 + 116*o/7 + 88/7 = 0.
-22/7, -1
Factor 180*t**3 + 420*t**2 - 1075*t + 500.
5*(t + 4)*(6*t - 5)**2
Determine t so that -t**4/7 + 13*t**3/7 + 64*t**2/7 + 68*t/7 = 0.
-2, 0, 17
Let 2*h**5/15 + 406*h**4/5 + 12644*h**3 + 1286492*h**2/15 + 909622*h/5 + 543606/5 = 0. Calculate h.
-301, -3, -1
Suppose 2*s**5 + 52*s**4 - 56*s**3 - 52*s**2 + 54*s = 0. What is s?
-27, -1, 0, 1
Solve -27*d**4/2 + 99*d**3/2 - 543*d**2/8 + 165*d/4 - 75/8 = 0.
5/6, 1
Factor -a**5/3 + 100*a**4/3 - 764*a**3 - 10400*a**2/3 - 10816*a/3.
-a*(a - 52)**2*(a + 2)**2/3
Let -o**2/4 + 4*o - 16 = 0. Calculate o.
8
Find k, given that 5*k**3 + 15*k**2 = 0.
-3, 0
Factor t**2/4 - 3*t/4.
t*(t - 3)/4
Factor 25*j**4 - 530*j**3 + 3189*j**2 - 3168*j - 6912.
(j - 3)*(j + 1)*(5*j - 48)**2
Factor 3*v**4 + 36*v**3 + 87*v**2 + 54*v.
3*v*(v + 1)*(v + 2)*(v + 9)
Factor -3*u**4/4 + 6*u**3 - 12*u**2.
-3*u**2*(u - 4)**2/4
Factor -m**2/7 + 20*m/7 + 3.
-(m - 21)*(m + 1)/7
Factor i**3/6 + 11*i**2/6 + 35*i/6 + 25/6.
(i + 1)*(i + 5)**2/6
Factor -p**2 + 108*p.
-p*(p - 108)
Factor -2*j**2 - 172*j.
-2*j*(j + 86)
Factor -i**4/4 - 20*i**3 - 546*i**2 - 5408*i - 8788.
-(i + 2)*(i + 26)**3/4
What is d in -d**2 + 21*d = 0?
0, 21
Factor 3*j**3 + 438*j**2 + 867*j + 432.
3*(j + 1)**2*(j + 144)
Factor -625*v**2 - 150*v - 9.
-(25*v + 3)**2
Factor -4*k**4/5 + 120*k**3 - 32016*k**2/5 + 694048*k/5 - 4672128/5.
-4*(k - 46)**3*(k - 12)/5
What is b in 9*b**5/2 - 33*b**4 + 147*b**3/2 - 57*b**2 + 12*b = 0?
0, 1/3, 1, 2, 4
Determine q so that 5*q**2 - 140*q + 980 = 0.
14
Solve -2*n**4/3 + 2*n**3/3 + 4*n**2/3 = 0 for n.
-1, 0, 2
Determine p, given that -15*p**2/7 + 864*p/7 + 348/7 = 0.
-2/5, 58
Factor 7*n**2/2 - 2249*n/2 - 1128.
(n + 1)*(7*n - 2256)/2
Let 44*k**3 + 480*k**2 + 1500*k + 1000 = 0. What is k?
-5, -10/11
Factor -2*n**3/3 - 22*n**2/3 - 62*n/3 - 14.
-2*(n + 1)*(n + 3)*(n + 7)/3
Let 3*b**5/7 + 12*b**4/7 + 15*b**3/7 + 6*b**2/7 = 0. What is b?
-2, -1, 0
What is n in -2*n**3 + 666*n**2 - 73926*n + 2735262 = 0?
111
Let g**4 - 31*g**3 - 32*g**2 = 0. What is g?
-1, 0, 32
Suppose 3*f**3/4 - 81*f**2/4 = 0. What is f?
0, 27
Let 2*m**2/9 + 404*m/9 + 20402/9 = 0. Calculate m.
-101
Solve -2*l**4/5 + 2*l**3 + 8*l**2/5 - 8*l = 0.
-2, 0, 2, 5
What is n in n**5/5 - 8*n**4/5 + 18*n**3/5 - 27*n/5 = 0?
-1, 0, 3
Factor 2*f**2/11 + 34*f/11 + 140/11.
2*(f + 7)*(f + 10)/11
Factor 2*n**3/3 + 20*n**2/3 - 2*n/3 - 20/3.
2*(n - 1)*(n + 1)*(n + 10)/3
What is k in -k**5/4 - k**4/2 + 27*k**3/4 - 13*k**2 + 7*k = 0?
-7, 0, 1, 2
Factor 2*b**3/11 - 13526*b**2/11 + 22862320*b/11 + 22875848/11.
2*(b - 3382)**2*(b + 1)/11
Factor -4*z**4/3 + 12*z**3 - 36*z**2 + 36*z.
-4*z*(z - 3)**3/3
Factor 10*a**2 + 442*a + 516.
2*(a + 43)*(5*a + 6)
Solve 2*d**5/3 + 220*d**4/3 - 76*d**3 - 664*d**2/3 + 226*d/3 + 148 = 0.
-111, -1, 1, 2
Factor w**3/2 + w**2/2 - 5*w/2 + 3/2.
(w - 1)**2*(w + 3)/2
Let c**3 - 18*c**2 + 15*c + 34 = 0. What is c?
-1, 2, 17
Factor 4*r**3 - 628*r**2 + 20832*r + 310464.
4*(r - 84)**2*(r + 11)
Factor 4*u**4/3 + 28*u**3/3 + 8*u**2/3 - 160*u/3.
4*u*(u - 2)*(u + 4)*(u + 5)/3
Suppose 2*q**4/5 - 32*q**3/5 - 74*q**2/5 + 32*q/5 + 72/5 = 0. What is q?
-2, -1, 1, 18
Factor -5*w**3 - 4915*w**2 + 19720*w - 19740.
-5*(w - 2)**2*(w + 987)
Suppose 3*t**3 - 8046*t**2 - 8049*t = 0. Calculate t.
-1, 0, 2683
Factor 2*g**3 + 1428*g**2 + 339864*g + 26962544.
2*(g + 238)**3
Factor 3*m**3/2 + 939*m**2/2 + 3717*m/2 + 2781/2.
3*(m + 1)*(m + 3)*(m + 309)/2
Factor -4*u**4 - 2976*u**3 - 556504*u**2 - 1104096*u - 550564.
-4*(u + 1)**2*(u + 371)**2
Suppose h**3 - 15*h**2 + 62*h - 48 = 0. Calculate h.
1, 6, 8
Factor 3*t**2 + 39*t + 36.
3*(t + 1)*(t + 12)
Factor -54*p**4/5 + 1512*p**3/5 + 1548*p**2/5 + 104*p + 58/5.
-2*(p - 29)*(3*p + 1)**3/5
Factor m**2/6 - 7*m/2 - 11/3.
(m - 22)*(m + 1)/6
Factor 9*h**3 + 475*h**2 - 106*h.
h*(h + 53)*(9