)**2
Suppose -d**3 - 9*d**2 + 4*d + 96 = 0. What is d?
-8, -4, 3
Determine v, given that -2*v**2 - 88*v - 968 = 0.
-22
What is c in -6*c**5/7 - 15*c**4/7 + 3*c**3/7 + 3*c**2 + 3*c/7 - 6/7 = 0?
-2, -1, 1/2, 1
Factor 2*t**2/3 + 94*t/3 - 620.
2*(t - 15)*(t + 62)/3
Factor k**3 + 31*k**2 + 235*k + 525.
(k + 5)**2*(k + 21)
Suppose 9*f**4/2 + 3*f**3/2 - 27*f**2/2 + 9*f/2 + 3 = 0. What is f?
-2, -1/3, 1
Factor -3*t**2 - 771*t - 6696.
-3*(t + 9)*(t + 248)
Factor 2*w**2/11 - 1920*w/11 + 460800/11.
2*(w - 480)**2/11
Factor -x**3/5 - 27*x**2/5 - 216*x/5 - 108.
-(x + 6)**2*(x + 15)/5
Find v, given that -4*v**2 - 72*v - 180 = 0.
-15, -3
Factor -i**3/3 + 6*i**2 - 29*i/3 - 16.
-(i - 16)*(i - 3)*(i + 1)/3
Let b**5 - 25*b**4 + 90*b**3 - 130*b**2 + 85*b - 21 = 0. What is b?
1, 21
Determine u, given that -u**4 + 120*u**3 + 744*u**2 + 1504*u + 1008 = 0.
-2, 126
Determine y so that 2*y**4/5 - 6*y**3/5 + 8*y/5 = 0.
-1, 0, 2
Factor 3*q**3 - 7*q**2 - 502*q + 168.
(q - 14)*(q + 12)*(3*q - 1)
Factor -5*u**3 - 15*u**2 - 15*u - 5.
-5*(u + 1)**3
Factor -12*z**2 - 40*z + 128.
-4*(z - 2)*(3*z + 16)
Find j, given that 3*j**5/4 - 5*j**4/4 - 5*j**3/4 + 5*j**2/4 + j/2 = 0.
-1, -1/3, 0, 1, 2
Determine q so that 5*q**4 + 20210*q**3 + 27256500*q**2 + 12301551640*q + 48771394720 = 0.
-1346, -4
Factor x**2/4 - 30*x + 900.
(x - 60)**2/4
Factor -1090*a**2 + 6*a.
-2*a*(545*a - 3)
Determine g so that g**2/3 + 215*g/3 - 434/3 = 0.
-217, 2
Let 2*h**4 + 34*h**3 - 114*h**2 + 118*h - 40 = 0. Calculate h.
-20, 1
Find p, given that p**2 - 78*p - 79 = 0.
-1, 79
Determine d so that 2*d**4 + 22*d**3 + 74*d**2 + 90*d + 36 = 0.
-6, -3, -1
Factor -3*m**5/4 + 42*m**4 + 270*m**3 + 552*m**2 + 372*m.
-3*m*(m - 62)*(m + 2)**3/4
Factor 2*f**4/3 + 2*f**3/3 - 4*f**2 - 8*f/3 + 16/3.
2*(f - 2)*(f - 1)*(f + 2)**2/3
Factor l**2/2 - 48*l + 94.
(l - 94)*(l - 2)/2
Factor -5*q**2 - 3795*q + 3800.
-5*(q - 1)*(q + 760)
Factor 2*v**2 - 4*v.
2*v*(v - 2)
Solve 2*t**2 + 2902*t = 0 for t.
-1451, 0
Find p such that -3*p**5 - 39*p**4/5 - 27*p**3/5 + 3*p**2/5 + 6*p/5 = 0.
-1, 0, 2/5
Let 3*s**2/2 - 195*s + 3564 = 0. Calculate s.
22, 108
Factor 10*n**5/3 - 134*n**4/3 + 52*n**3/3.
2*n**3*(n - 13)*(5*n - 2)/3
Determine z so that 6*z**2 - 39*z - 72 = 0.
-3/2, 8
Factor -12*a**4 - 15*a**3 + 21*a**2 + 6*a.
-3*a*(a - 1)*(a + 2)*(4*a + 1)
Factor -r**2/7 - r.
-r*(r + 7)/7
Find j such that -j**3/5 + 82*j**2 + 824*j/5 = 0.
-2, 0, 412
What is s in 2*s**3/5 + 16*s**2/3 - 2242*s/15 - 252/5 = 0?
-27, -1/3, 14
Let -260*t**3 + 252*t**2 + 8*t = 0. What is t?
-2/65, 0, 1
Let l**2/2 - 2*l - 6 = 0. What is l?
-2, 6
Suppose 15*f**4 + 25*f**3 - 85*f**2 - 65*f + 30 = 0. What is f?
-3, -1, 1/3, 2
Factor 5*d**5 + 50*d**4 - 120*d**3.
5*d**3*(d - 2)*(d + 12)
Determine f so that -4*f**2 - 148*f + 480 = 0.
-40, 3
Let v**3/2 - 23*v**2/2 + 40*v - 38 = 0. Calculate v.
2, 19
Solve 3*t**5/4 - 69*t**4/2 - 108*t**3 - 219*t**2/2 - 147*t/4 = 0 for t.
-1, 0, 49
Determine r so that r**2/3 - 14*r + 41/3 = 0.
1, 41
Factor -i**4/4 + 2*i**3 + 7*i**2/2 - 12*i + 27/4.
-(i - 9)*(i - 1)**2*(i + 3)/4
What is p in p**4 - 11*p**3 + 38*p**2 - 52*p + 24 = 0?
1, 2, 6
Determine w, given that 2*w**4/11 + 72*w**3/11 + 474*w**2/11 + 740*w/11 + 336/11 = 0.
-28, -6, -1
Factor 44*k**4 + 212*k**3 + 224*k**2 - 48*k.
4*k*(k + 2)*(k + 3)*(11*k - 2)
What is s in 4*s**2 - 308*s = 0?
0, 77
What is i in 168*i**4 + 428*i**3 - 220*i**2 + 24*i = 0?
-3, 0, 1/6, 2/7
Find o such that 18*o**3 - 20*o**2 - 34*o + 4 = 0.
-1, 1/9, 2
Find j such that -j**2/2 - 5*j + 12 = 0.
-12, 2
What is f in f**3/2 - 25*f**2/2 + 43*f/2 + 69/2 = 0?
-1, 3, 23
Suppose 5*s**3 + 55*s**2 + 175*s + 125 = 0. What is s?
-5, -1
Factor -4*q**2 - 56*q + 1248.
-4*(q - 12)*(q + 26)
Find y, given that 2*y**5/5 + 42*y**4/5 - 262*y**3/5 - 42*y**2/5 + 52*y = 0.
-26, -1, 0, 1, 5
Factor -o**3/4 - 10*o**2 - 112*o - 384.
-(o + 8)**2*(o + 24)/4
Let 5*z**2/4 + 15*z/4 - 5 = 0. Calculate z.
-4, 1
Suppose -2*l**3/3 - 8*l**2 + 206*l/3 - 60 = 0. What is l?
-18, 1, 5
Let g**5 + g**4 - g**3 - g**2 = 0. What is g?
-1, 0, 1
Factor 2*u**3/19 + 12*u**2/19 - 2*u/19 - 12/19.
2*(u - 1)*(u + 1)*(u + 6)/19
Find p, given that -2*p**2/3 + 161*p/3 + 27 = 0.
-1/2, 81
Factor 2*r**2/13 + 4*r + 138/13.
2*(r + 3)*(r + 23)/13
Suppose 3*r**5 - 33*r**4 + 9*r**3 + 729*r**2 - 648*r - 4860 = 0. Calculate r.
-3, 5, 6
What is m in -m**4 - 18*m**3 + 23*m**2 + 72*m - 76 = 0?
-19, -2, 1, 2
Find x, given that 2*x**5 + 21*x**4 + 68*x**3 + 93*x**2 + 56*x + 12 = 0.
-6, -2, -1, -1/2
Factor 4*y**2 - 16*y - 384.
4*(y - 12)*(y + 8)
Find s, given that 98*s**4/11 - 644*s**3/11 + 344*s**2/11 - 48*s/11 = 0.
0, 2/7, 6
Factor 4*x**5 + 9*x**4 + 2*x**3 - 8*x**2 - 6*x - 1.
(x - 1)*(x + 1)**3*(4*x + 1)
Determine v so that 4*v**3 - 96*v**2 + 300*v + 400 = 0.
-1, 5, 20
What is l in 5*l**3 + 1010*l**2 + 5925*l + 8820 = 0?
-196, -3
Let -7*a**5 + 19*a**4 - 8*a**3 - 4*a**2 = 0. Calculate a.
-2/7, 0, 1, 2
Let 2*u**2/9 - 28*u/3 + 82/9 = 0. Calculate u.
1, 41
Find i such that -i**5/9 + 2*i**4/3 - 13*i**3/9 + 4*i**2/3 - 4*i/9 = 0.
0, 1, 2
Factor -2*v**4/7 + 2*v**3/7 + 4*v**2/7.
-2*v**2*(v - 2)*(v + 1)/7
Solve 3*k**5/8 - 15*k**4/8 + 21*k**3/8 - 9*k**2/8 = 0.
0, 1, 3
Solve -2*h**3/5 + 4*h**2 + 22*h/5 = 0.
-1, 0, 11
Solve 11*s**5/4 - 1109*s**4/4 + 449*s**3/2 + 50*s**2 = 0 for s.
-2/11, 0, 1, 100
Factor -3*l**3/4 + 9*l**2/2 - 15*l/4.
-3*l*(l - 5)*(l - 1)/4
Let 20*r**5/21 + 94*r**4/21 + 130*r**3/21 + 32*r**2/21 - 8*r/7 = 0. What is r?
-2, -1, 0, 3/10
Solve 9*l**5 - 81*l**4 + 291*l**3 - 1565*l**2/3 + 1400*l/3 - 500/3 = 0 for l.
5/3, 2
Solve 3*p**4/7 + 78*p**3/7 + 627*p**2/7 + 1452*p/7 = 0 for p.
-11, -4, 0
Factor -2*x**3/9 - 28*x**2/9 - 86*x/9 - 20/3.
-2*(x + 1)*(x + 3)*(x + 10)/9
Solve -s**3/3 - 43*s**2 - 165*s + 625/3 = 0 for s.
-125, -5, 1
Find b, given that -2*b**2 + 12*b + 32 = 0.
-2, 8
Suppose 4*h**3 - 556*h**2 + 24128*h - 309488 = 0. What is h?
23, 58
Factor 6*s**3 - 27*s**2 + 9*s + 12.
3*(s - 4)*(s - 1)*(2*s + 1)
Factor -3*o**2/4 - 1995*o/2 - 1326675/4.
-3*(o + 665)**2/4
What is j in 2*j**2/7 + 24*j/7 + 72/7 = 0?
-6
Find s, given that 2*s**2/5 - 48*s/5 + 88/5 = 0.
2, 22
Suppose 9*q**2 + 393*q - 132 = 0. Calculate q.
-44, 1/3
What is f in -2*f**3/7 - 452*f**2/7 - 3712*f - 7168 = 0?
-112, -2
Solve -6*b**4/7 + 69*b**3/7 - 123*b**2/7 - 117*b/7 + 81/7 = 0 for b.
-1, 1/2, 3, 9
Let h**2/3 - 10*h + 75 = 0. Calculate h.
15
Factor -42*n**2 + 39*n + 3.
-3*(n - 1)*(14*n + 1)
Let 3388*i**4 + 3608*i**3 - 1648*i**2 + 160*i = 0. Calculate i.
-10/7, 0, 2/11
Let -3*o**3/2 - 3*o**2/2 = 0. Calculate o.
-1, 0
Let 3*m**4 - 27*m**3 - 414*m**2 - 1236*m - 1080 = 0. What is m?
-5, -2, 18
Factor -c**4 + 8*c**3 + 128*c**2.
-c**2*(c - 16)*(c + 8)
Suppose 5*v**2 - 1115*v = 0. What is v?
0, 223
Find d, given that -5*d**5 - 80*d**4 + 25*d**3 + 400*d**2 - 20*d - 320 = 0.
-16, -2, -1, 1, 2
Factor -2*i**2 + 352*i - 15488.
-2*(i - 88)**2
Find d, given that 3*d**5/5 - 9*d**4/5 + 9*d**3/5 - 3*d**2/5 = 0.
0, 1
Factor 8*j**4/15 + 34*j**3/15 - 14*j**2/5.
2*j**2*(j - 1)*(4*j + 21)/15
Factor 2*b**3/15 + 4*b**2/3 - 896*b/5.
2*b*(b - 32)*(b + 42)/15
Factor 4*x**4/5 + 8*x**3/5 - 4*x**2/5 - 8*x/5.
4*x*(x - 1)*(x + 1)*(x + 2)/5
Factor -134*x**4/17 - 808*x**3/17 - 96*x**2 - 1120*x/17 - 32/17.
-2*(x + 2)**3*(67*x + 2)/17
Determine o so that -5*o**5 - 45*o**4 - 40*o**3 = 0.
-8, -1, 0
What is u in -4*u**4 - 92*u**3 - 456*u**2 - 848*u - 544 = 0?
-17, -2
Find z such that -5*z**5/6 - 46*z**4/3 - 371*z**3/6 + 248*z**2/3 + 566*z/3 + 176/3 = 0.
-11, -8, -1, -2/5, 2
Suppose -o**5/3 + 95*o**4/3 - 1792*o**3/3 - 21856*o**2/3 - 63232*o/3 - 43264/3 = 0. Calculate o.
-4, -1, 52
Factor m**5/3 + 8*m**4 + 125*m**3/3 - 650*m**2/3 - 1500*m + 5000/3.
(m - 5)*(m - 1)*(m + 10)**3/3
Factor -3*g**5/4 - 21*g**4/4 - 33*g**3/4 - 15*g**2/4.
-3*g**2*(g + 1)**2*(g + 5)/4
Factor 2*a**5/11 - 68*a**4/11.
2*a**4*(a - 34)/11
Suppose 3*x**4 - 99*x**3 - 816*x**2 - 1008*x + 1920 = 0. What is x?
-4, 1, 40
Factor 3*g**4/8 + 15*g**3/8 - 93*g**2/8 + 129*g/8 - 27/4.
3*(g - 2)*(g - 1)**2*(g + 9)/8
Factor 2*v**2 + 558*v + 556.
2*(v + 1)*(v + 278)
Factor -27*p**3 + 30*p**2 + 51*p - 6.
-3*(p - 2)*(p + 1)*(9*p - 1)
Factor -l**5/3 - 7*l**4/3 - 10*l**3/3.
-l**3*(l + 2)*(l + 5)/3
Factor -5*q**3 + 240*q**2 - 2385*q + 3850.
-5*(q - 35)*(q - 11)*(q - 2)
Factor 6*i**3 - 2169*i**2/2 - 543*i/2.
3*i*(i - 181