240*o**3 - 657*o**2 + 123*o - 6 = 0. What is o?
-2, 1/10, 1
Factor -y**4/3 + 8*y**3.
-y**3*(y - 24)/3
Solve -3*d**2 - 15*d = 0 for d.
-5, 0
Let -5*g**2 - 130*g + 960 = 0. Calculate g.
-32, 6
Find y, given that 12*y**4 + 213*y**3 - 1062*y**2 + 1308*y - 264 = 0.
-22, 1/4, 2
Factor 2*r**2/15 - 98*r/15 + 392/5.
2*(r - 28)*(r - 21)/15
Let -3*n**2 + 72*n - 285 = 0. Calculate n.
5, 19
Factor 4*k**3 - 24*k**2 + 48*k - 32.
4*(k - 2)**3
What is f in -3*f**2 - 420*f - 14700 = 0?
-70
Suppose -2*h**3/7 - 444*h**2/7 - 25920*h/7 - 139968/7 = 0. What is h?
-108, -6
Factor w**4/2 + 711*w**3 + 506941*w**2/2 + 504810*w + 252050.
(w + 1)**2*(w + 710)**2/2
Let -p**2/8 + 11*p/8 - 3 = 0. What is p?
3, 8
Determine r so that -2*r**2/3 + 154*r/3 - 100 = 0.
2, 75
Solve 3*q**2/4 + 66*q = 0 for q.
-88, 0
Factor -2*t**3 + 28*t**2 - 70*t + 44.
-2*(t - 11)*(t - 2)*(t - 1)
Solve 3*d**3 + 11337*d**2 - 11340*d = 0 for d.
-3780, 0, 1
Suppose 2*c**2 + 50*c + 132 = 0. Calculate c.
-22, -3
Factor 2*c**4/7 + 10*c**3/7 + 16*c**2/7 + 8*c/7.
2*c*(c + 1)*(c + 2)**2/7
Factor -4*x**5 - 20*x**4 - 24*x**3 + 8*x**2 + 28*x + 12.
-4*(x - 1)*(x + 1)**3*(x + 3)
Let 62*o**2 - 66*o + 4 = 0. Calculate o.
2/31, 1
Factor -4*o**4 + 20*o**3 - 24*o**2.
-4*o**2*(o - 3)*(o - 2)
Suppose x**2 + 19*x + 88 = 0. What is x?
-11, -8
Factor -3*a**4/4 + 15*a**3/4 + 21*a**2/2.
-3*a**2*(a - 7)*(a + 2)/4
Find c, given that -4*c**3 + 8*c**2 + 32*c = 0.
-2, 0, 4
Solve 2*p**3/9 + 14*p**2/9 - 16*p/9 = 0.
-8, 0, 1
Factor g**4/2 + 25*g**3/2 + 107*g**2/2 + 143*g/2 + 30.
(g + 1)**2*(g + 3)*(g + 20)/2
What is n in -2*n**3/5 - 116*n**2/5 - 224*n/5 = 0?
-56, -2, 0
Determine s so that 5*s**5 - 15*s**4 - 45*s**3 + 115*s**2 - 60*s = 0.
-3, 0, 1, 4
Let -m**3/4 + 5*m**2 - 99*m/4 = 0. Calculate m.
0, 9, 11
Solve -4*q**3 + 24*q**2 + 4*q - 24 = 0.
-1, 1, 6
Suppose 5*q**4 - 1300*q**3 + 81860*q**2 + 343200*q + 348480 = 0. Calculate q.
-2, 132
Factor i**3/8 - 5*i**2/2 + 93*i/8 - 63/4.
(i - 14)*(i - 3)**2/8
Factor -2*d**3/5 - 4*d**2 + 78*d/5.
-2*d*(d - 3)*(d + 13)/5
Factor 9*g**4/7 + 15*g**3/7 + 3*g**2/7 - 3*g/7.
3*g*(g + 1)**2*(3*g - 1)/7
Solve x**5 - 59*x**4/4 - 79*x**3/4 - 4*x**2 = 0.
-1, -1/4, 0, 16
Find g such that -5*g**2 + 1725*g + 1730 = 0.
-1, 346
Factor -11178*j**3/17 + 5130*j**2/17 - 624*j/17 + 8/17.
-2*(9*j - 2)**2*(69*j - 1)/17
Factor -3*m**2/2 + 15*m/2.
-3*m*(m - 5)/2
Determine v so that v**4 - 12355*v**3 + 50886126*v**2 - 69883604804*v + 69832731032 = 0.
1, 4118
Factor 4*f**2 + 42*f + 20.
2*(f + 10)*(2*f + 1)
Determine a so that 5*a**5 - 30*a**4 - 5*a**3 + 30*a**2 = 0.
-1, 0, 1, 6
Factor -2*i**2/7 + 4*i/7 + 6/7.
-2*(i - 3)*(i + 1)/7
What is d in d**5/11 - 41*d**4/11 + 355*d**3/11 + 1321*d**2/11 + 128*d + 44 = 0?
-1, 22
Suppose -5*x**3/3 + 50*x**2/3 + 5*x/3 - 50/3 = 0. What is x?
-1, 1, 10
Find g, given that -36*g**4 + 348*g**3 + 515*g**2 + 142*g + 11 = 0.
-1, -1/6, 11
Determine r, given that -3*r**3/5 - 63*r**2/5 - 132*r/5 + 108 = 0.
-18, -5, 2
Factor 5*z**2 - 525*z + 2970.
5*(z - 99)*(z - 6)
What is k in -k**2 + 2259*k + 2260 = 0?
-1, 2260
Factor 4*w**2/5 - 16/5.
4*(w - 2)*(w + 2)/5
Factor 2*u**2 - 110*u/3 - 76/3.
2*(u - 19)*(3*u + 2)/3
Factor 5*t**3/3 + 40*t**2/3 + 35*t + 30.
5*(t + 2)*(t + 3)**2/3
Factor 2*z**3/25 + 114*z**2/25 + 108*z/25 - 224/25.
2*(z - 1)*(z + 2)*(z + 56)/25
Factor 2*b**3 - 8*b**2 + 6*b.
2*b*(b - 3)*(b - 1)
Suppose 5*q**4/2 + 13*q**3 - 4*q**2 - 37*q - 45/2 = 0. Calculate q.
-5, -1, 9/5
Factor -2*t**5/15 - 16*t**4/5 - 332*t**3/15 - 176*t**2/5 - 242*t/15.
-2*t*(t + 1)**2*(t + 11)**2/15
Determine c so that 4*c**2 + 56*c + 52 = 0.
-13, -1
Let q**3/4 + 9*q**2 = 0. Calculate q.
-36, 0
Factor i**4/4 + 13*i**3/2 + 18*i**2 + 35*i/2 + 23/4.
(i + 1)**3*(i + 23)/4
Solve -4*d**4/7 - 40*d**3/7 + 92*d**2/7 - 48*d/7 = 0 for d.
-12, 0, 1
Suppose -4*c**4/9 + 20*c**3/3 - 52*c**2/3 + 148*c/9 - 16/3 = 0. What is c?
1, 12
Factor -q**3/4 + q/4.
-q*(q - 1)*(q + 1)/4
Determine o, given that -3*o**3 - 48*o**2 - 45*o = 0.
-15, -1, 0
Find a such that -2*a**2 - 600*a + 3050 = 0.
-305, 5
Factor w**4/6 - w**3/3 - w**2/2.
w**2*(w - 3)*(w + 1)/6
Find a such that -2*a**2/5 - 26*a + 1672/5 = 0.
-76, 11
Find o such that -6*o**5/11 - 92*o**4/11 - 404*o**3/11 - 360*o**2/11 + 14*o + 196/11 = 0.
-7, -1, 2/3
Suppose 923521*o**4/3 + 1191640*o**3/3 + 192200*o**2 + 124000*o/3 + 10000/3 = 0. Calculate o.
-10/31
Let 486*n**4 - 7938*n**3 - 5436*n**2 - 3656*n/3 - 272/3 = 0. Calculate n.
-2/9, 17
Suppose 65*t**4 + 1940*t**3 - 8880*t**2 + 10160*t - 1360 = 0. Calculate t.
-34, 2/13, 2
Factor 3*t**2 + 243*t - 6060.
3*(t - 20)*(t + 101)
Factor -2*r**2/5 + 1144*r/5 - 163592/5.
-2*(r - 286)**2/5
Factor 4*k**2 + 492*k + 968.
4*(k + 2)*(k + 121)
Find x such that 2*x**2/15 - 7504*x/15 + 7038752/15 = 0.
1876
Determine z so that -3*z**4/4 - 15*z**3/4 + 21*z**2/2 = 0.
-7, 0, 2
Solve 5*o**3/6 + 185*o**2/6 - 135*o/2 - 195/2 = 0.
-39, -1, 3
Factor 4*i**4 + 24*i**3 + 52*i**2 + 48*i + 16.
4*(i + 1)**2*(i + 2)**2
Factor 29*w**3 - 27*w**2 - 60*w - 4.
(w - 2)*(w + 1)*(29*w + 2)
Factor 4*h**3 - 44*h**2 - 48*h.
4*h*(h - 12)*(h + 1)
Factor -12*o**2 + 6868*o + 4584.
-4*(o - 573)*(3*o + 2)
Factor -3*z**4 - 21*z**3 + 120*z**2 - 132*z.
-3*z*(z - 2)**2*(z + 11)
Determine b, given that -25*b**5 - 90*b**4 + 1990*b**3 - 680*b**2 - 1965*b + 770 = 0.
-11, -1, 2/5, 1, 7
Factor 2*d**5/7 + 64*d**4/7 + 122*d**3/7 + 60*d**2/7.
2*d**2*(d + 1)**2*(d + 30)/7
Let -3*m**3 + 786*m**2 - 45540*m - 799848 = 0. Calculate m.
-14, 138
Solve -3*d**5 - 213*d**4 + 3132*d**3 - 11988*d**2 + 9072*d = 0.
-84, 0, 1, 6
Find u, given that -u**5 + u**4/4 + 7*u**3 - 31*u**2/4 + 3*u/2 = 0.
-3, 0, 1/4, 1, 2
Let r**5 - 42*r**4 + 155*r**3 - 110*r**2 - 156*r + 152 = 0. Calculate r.
-1, 1, 2, 38
Factor 5*z**4 - 20*z**3 + 10*z**2 + 20*z - 15.
5*(z - 3)*(z - 1)**2*(z + 1)
Factor 3*g**3/2 + 27*g**2/2 - 96*g + 126.
3*(g - 3)*(g - 2)*(g + 14)/2
Determine k so that -2*k**2/11 - 102*k/11 + 104/11 = 0.
-52, 1
Factor 3*w**2/5 + 291*w/5.
3*w*(w + 97)/5
Factor -f**5/7 + 17*f**4/7 - f**3 - 19*f**2 - 172*f/7 - 64/7.
-(f - 16)*(f - 4)*(f + 1)**3/7
Find v, given that 3*v**2 - 19512*v + 31726512 = 0.
3252
Factor k**5/3 - 7*k**4 + 34*k**3 - 190*k**2/3 + 51*k - 15.
(k - 15)*(k - 3)*(k - 1)**3/3
Determine a, given that 11*a**3/4 - 71*a**2 - 13*a = 0.
-2/11, 0, 26
Suppose 2*n**2/3 - 232*n + 1384/3 = 0. Calculate n.
2, 346
Factor 3*g**3 - 4302*g**2 + 1546560*g - 3075936.
3*(g - 716)**2*(g - 2)
Let -2*w**2/9 + 40*w/3 = 0. What is w?
0, 60
Suppose g**2/7 - 313*g/7 = 0. What is g?
0, 313
Find c such that -c**3 + 7*c**2 = 0.
0, 7
Suppose -40*x**4/9 + 874*x**3/9 - 3704*x**2/9 - 664*x/9 + 128/3 = 0. Calculate x.
-2/5, 1/4, 6, 16
Determine u so that 2*u**2 - 34*u + 289/2 = 0.
17/2
Factor 3*m**2/8 + 39*m/4 + 33.
3*(m + 4)*(m + 22)/8
Solve t**3/4 - 15*t**2/2 - 63*t/4 - 8 = 0.
-1, 32
Factor -3*k**3 - 6*k**2 + 3*k + 6.
-3*(k - 1)*(k + 1)*(k + 2)
Find t such that -2*t**2 + 302*t + 612 = 0.
-2, 153
Factor -3*q**3/5 + 34*q**2/5 + 5*q - 12/5.
-(q - 12)*(q + 1)*(3*q - 1)/5
Find d such that 2*d**4 + 4024*d**3 + 2701440*d**2 + 606912800*d + 1203052000 = 0.
-670, -2
Factor -6*v**3/7 - 240*v**2/7 + 1626*v/7 - 1380/7.
-6*(v - 5)*(v - 1)*(v + 46)/7
Factor -32*l**3 + 8976*l**2 - 4482*l + 560.
-2*(l - 280)*(4*l - 1)**2
Factor 2*w**2/11 + 270*w/11 - 272/11.
2*(w - 1)*(w + 136)/11
Solve -2*a**3 - 4400*a**2 = 0.
-2200, 0
What is k in 3*k**3 + 534*k**2 + 1059*k + 528 = 0?
-176, -1
Suppose c**5/5 + 17*c**4/5 + 94*c**3/5 + 38*c**2 + 161*c/5 + 49/5 = 0. Calculate c.
-7, -1
Let 2*u**4/3 - 52*u**3/9 + 134*u**2/9 - 128*u/9 + 40/9 = 0. Calculate u.
2/3, 1, 2, 5
Factor 3*x**4 - 144*x**3 + 666*x**2 - 912*x + 387.
3*(x - 43)*(x - 3)*(x - 1)**2
Solve 2*q**4/19 + 148*q**3/19 - 8*q**2/19 - 592*q/19 = 0 for q.
-74, -2, 0, 2
Factor 2*m**5/3 + 2*m**4/3 - 2*m**3/3 - 2*m**2/3.
2*m**2*(m - 1)*(m + 1)**2/3
Determine g, given that 3*g**2 - 246*g = 0.
0, 82
Solve h**2/4 - 797*h/4 = 0.
0, 797
Factor y**4 + 7*y**3 + 3*y**2 - 31*y + 20.
(y - 1)**2*(y + 4)*(y + 5)
Let -2*m**5/11 - 20*m**4 - 6474*m**3/11 - 2120*m**2 - 22472*m/11 = 0. Calculate m.
-53, -2, 0
Factor n**2/6 + 557*n/3 + 310249/6.
(n + 557)**2/6
Factor 14*n**2/9 - 22*n/9 - 4/3.
2*(n - 2)*(7*n + 3)/9
Factor -2*b**4/3 + 464*b**3 - 121104*b**2 + 14048064*b - 611090784.
-2*(b - 174)**4/3
Factor -4*a**3/3 + 128*a**2/3 - 1024*a/3.