 such that 2*y**2 + 40*y = 0.
-20, 0
Factor 2*g**3 + 42*g**2 - 90*g + 46.
2*(g - 1)**2*(g + 23)
Determine s, given that -3*s**2 + 702*s - 41067 = 0.
117
Suppose 2*s**3/3 + 16*s**2/3 + 32*s/3 = 0. What is s?
-4, 0
Factor -5*v**3 + 93*v**2 + 38*v.
-v*(v - 19)*(5*v + 2)
Solve n**3/6 + 57*n**2/2 + 85*n/3 = 0.
-170, -1, 0
Factor i**4/2 + 17*i**3.
i**3*(i + 34)/2
Suppose 2*c**3 - 14*c**2 + 4*c + 80 = 0. Calculate c.
-2, 4, 5
Determine o, given that o**2 - 316*o + 939 = 0.
3, 313
Factor 3*n**3 - 9*n**2 - 12*n.
3*n*(n - 4)*(n + 1)
Find r, given that -r**3/11 + 8*r**2/11 - 7*r/11 = 0.
0, 1, 7
Factor -4*m**4/9 - 2*m**3/3 + 2*m/9.
-2*m*(m + 1)**2*(2*m - 1)/9
Solve -35*o**4 - 255*o**3 - 35*o**2 + 255*o + 70 = 0 for o.
-7, -1, -2/7, 1
Find l, given that l**2/3 + 3176*l/3 + 2521744/3 = 0.
-1588
Factor -2*l**2 - 466*l - 464.
-2*(l + 1)*(l + 232)
What is s in 3*s**4 - 309*s**3 + 8103*s**2 - 7191*s - 15606 = 0?
-1, 2, 51
Find r such that -2*r**4/3 + 2*r**3 + 2*r**2 - 14*r/3 - 4 = 0.
-1, 2, 3
Let c**2/3 + 10*c/3 + 16/3 = 0. Calculate c.
-8, -2
Let -4*i**2 - 653*i - 163 = 0. What is i?
-163, -1/4
Factor 36*s**5 - 80*s**4 + 52*s**3 - 8*s**2.
4*s**2*(s - 1)**2*(9*s - 2)
What is y in 2*y**5/9 + 22*y**4/9 - 74*y**3/3 + 58*y**2 - 36*y = 0?
-18, 0, 1, 3
Find j, given that -j**2/5 + 64*j/5 - 1024/5 = 0.
32
Factor -2*a**4 + 18*a**3 - 14*a**2 - 18*a + 16.
-2*(a - 8)*(a - 1)**2*(a + 1)
Let h**2 + 32*h + 60 = 0. What is h?
-30, -2
Let 78*l**2 - 304*l - 32 = 0. Calculate l.
-4/39, 4
Solve -w**2 - 6*w + 40 = 0.
-10, 4
Factor 5*y**2 - 290*y + 1080.
5*(y - 54)*(y - 4)
Let -9*x**2 + 42*x + 72 = 0. What is x?
-4/3, 6
Factor -5*f**5 - 15*f**4 + 140*f**3 - 80*f**2 - 480*f + 560.
-5*(f - 2)**3*(f + 2)*(f + 7)
Determine p, given that -3*p**2 + 69*p + 744 = 0.
-8, 31
Factor v**4/3 + 21*v**3 - 284*v**2 + 3536*v/3 - 1600.
(v - 4)**3*(v + 75)/3
Suppose 2*v**5/17 + 6*v**4/17 - 14*v**3/17 - 54*v**2/17 - 36*v/17 = 0. What is v?
-3, -2, -1, 0, 3
Suppose 5*u**5/7 - 16*u**4/7 - 17*u**3/7 + 4*u**2/7 = 0. Calculate u.
-1, 0, 1/5, 4
Factor -4*h**3/3 + 88*h**2/3 - 644*h/3 + 1568/3.
-4*(h - 8)*(h - 7)**2/3
Factor 5*p**5/2 - 9*p**4/2 - 9*p**3.
p**3*(p - 3)*(5*p + 6)/2
Determine p, given that p**2/3 - 109*p/3 + 36 = 0.
1, 108
Solve p**4/2 + 29*p**3/2 + 159*p**2/2 - 409*p/2 + 110 = 0.
-20, -11, 1
Determine t so that 3*t**4/7 - 117*t**3/7 + 222*t**2/7 = 0.
0, 2, 37
Factor f**2 - 613*f + 612.
(f - 612)*(f - 1)
Find t, given that 76*t**2 + 260*t + 96 = 0.
-3, -8/19
Factor 5*n**2/2 + 105*n/2 - 325.
5*(n - 5)*(n + 26)/2
What is y in 2*y**3 - 50*y**2 = 0?
0, 25
Find s, given that -s**5/3 + 8*s**4/3 + 22*s**3 + 4*s**2/3 - 233*s/3 + 52 = 0.
-4, -3, 1, 13
Solve g**3/5 - 1084*g**2/5 + 292677*g/5 + 589698/5 = 0.
-2, 543
Find w, given that 3*w**3 + 3*w**2 - 3*w - 3 = 0.
-1, 1
Factor 3*y**5 + 33*y**4 + 81*y**3 + 75*y**2 + 24*y.
3*y*(y + 1)**3*(y + 8)
Determine o so that -12*o**4 + 2120*o**3 + 5004*o**2 + 1432*o = 0.
-2, -1/3, 0, 179
Determine d, given that -3*d**5 + 33*d**4 - 24*d**3 - 60*d**2 = 0.
-1, 0, 2, 10
What is c in 2*c**5/3 - 28*c**4/3 + 34*c**3 - 36*c**2 = 0?
0, 2, 3, 9
Factor -i**3/4 - i**2/4 + 23*i/2 - 20.
-(i - 5)*(i - 2)*(i + 8)/4
Factor r**3/3 + 64*r**2/3 - 341*r/3 + 92.
(r - 4)*(r - 1)*(r + 69)/3
Factor 5*i**5 + 10*i**4 - 15*i**3 - 40*i**2 - 20*i.
5*i*(i - 2)*(i + 1)**2*(i + 2)
Solve -35*i**5 + 220*i**4 - 480*i**3 + 470*i**2 - 205*i + 30 = 0.
2/7, 1, 3
Factor -i**3/5 + 9*i**2/5 - 18*i/5.
-i*(i - 6)*(i - 3)/5
Suppose -v**2/5 + 9*v/5 + 442/5 = 0. What is v?
-17, 26
Factor -3*k**2/8 + 15*k/2 - 57/8.
-3*(k - 19)*(k - 1)/8
Suppose -2*h**4/15 - 16*h**3/15 + 122*h**2/15 - 104*h/15 = 0. What is h?
-13, 0, 1, 4
Suppose -4*o**2 + 88*o - 468 = 0. Calculate o.
9, 13
Suppose 2*d**3/7 - 18*d**2/7 + 54*d/7 - 54/7 = 0. Calculate d.
3
Factor -v**4/4 + 2*v**3 + 19*v**2/4 + 5*v/2.
-v*(v - 10)*(v + 1)**2/4
Factor 5*y**5 - 35*y**4 + 90*y**3 - 110*y**2 + 65*y - 15.
5*(y - 3)*(y - 1)**4
Factor 9*l**4 - 88*l**3 + 205*l**2 + 50*l.
l*(l - 5)**2*(9*l + 2)
Suppose -2*z**3/9 - 170*z**2/9 + 2*z/9 + 170/9 = 0. Calculate z.
-85, -1, 1
Find g such that g**4/5 + g**3 + 2*g**2/5 - 8*g/5 = 0.
-4, -2, 0, 1
Suppose 3*f**3/8 + 9*f**2/2 = 0. What is f?
-12, 0
Determine a, given that -a**4/3 + 50*a**3/3 - 191*a**2 - 1300*a/3 - 676/3 = 0.
-1, 26
Determine g so that -2*g**5 + 94*g**4 - 1146*g**3 + 874*g**2 + 2116*g = 0.
-1, 0, 2, 23
Find q, given that -5*q**5 - 100*q**4 - 260*q**3 + 2400*q**2 - 2880*q = 0.
-12, 0, 2
What is u in -4*u**4 + 36*u**3 + 504*u**2 - 2320*u + 2400 = 0?
-10, 2, 15
Let 3*q**2 - 2307*q/4 - 1737/4 = 0. What is q?
-3/4, 193
Factor 2*z**2/9 + 2*z/9.
2*z*(z + 1)/9
Find m such that 5*m**4 + 290*m**3 - 600*m**2 = 0.
-60, 0, 2
Solve -2*d**2/7 + 24*d/7 = 0 for d.
0, 12
Determine q so that 2*q**3 + 6*q**2 - 156*q - 160 = 0.
-10, -1, 8
Factor 2*c**2 + 12*c - 14.
2*(c - 1)*(c + 7)
Find i such that 27*i**5/4 + 57*i**4/4 - 131*i**3/4 - 181*i**2/4 - 2*i + 3 = 0.
-3, -1, -1/3, 2/9, 2
Let 2*m**5 - 152*m**4 + 1858*m**3 - 7732*m**2 + 10488*m - 4464 = 0. What is m?
1, 6, 62
Find k, given that 2*k**2 + 10*k + 8 = 0.
-4, -1
Find f, given that 5*f**2 - 40*f - 45 = 0.
-1, 9
Find i, given that 22*i**3 + 24*i**2 - 22*i - 24 = 0.
-12/11, -1, 1
Let 20*f**4/7 + 148*f**3/7 + 8*f**2 = 0. What is f?
-7, -2/5, 0
Factor 19321*x**2/4 - 417*x/2 + 9/4.
(139*x - 3)**2/4
Factor -20*f**3 + 245*f**2 - 60*f.
-5*f*(f - 12)*(4*f - 1)
Factor -5*n**3 + 70*n**2 - 125*n + 60.
-5*(n - 12)*(n - 1)**2
Factor 2*k**4 - 136*k**3 + 2444*k**2 - 4488*k + 2178.
2*(k - 33)**2*(k - 1)**2
Solve p**2/3 + 10*p + 27 = 0.
-27, -3
Factor 2*h**2 + 826*h.
2*h*(h + 413)
Factor -3*z**3 + 1686*z**2 + 3*z - 1686.
-3*(z - 562)*(z - 1)*(z + 1)
Factor -z**2/4 + 4*z - 7.
-(z - 14)*(z - 2)/4
Factor -l**2/8 - 11*l/2 - 121/2.
-(l + 22)**2/8
Factor 2*x**2/7 - 4*x + 90/7.
2*(x - 9)*(x - 5)/7
Factor -3*y**2 + 195*y - 192.
-3*(y - 64)*(y - 1)
Determine r, given that 3*r**3 - 180*r**2 + 2511*r + 5766 = 0.
-2, 31
Solve -2*n**2/3 + 842*n/3 = 0.
0, 421
What is s in -4*s**3 - 1056*s**2 - 71760*s - 270400 = 0?
-130, -4
Find j, given that j**3 - 182*j**2 - 367*j - 184 = 0.
-1, 184
Factor 25625808*b**3 - 164268*b**2 + 351*b - 1/4.
(468*b - 1)**3/4
Factor 4*s**2 + 2208*s - 4432.
4*(s - 2)*(s + 554)
Solve 110*f**2/3 + 221*f/3 + 2/3 = 0 for f.
-2, -1/110
Solve -9*m**4/4 + 219*m**3/2 - 63*m**2 - 438*m + 288 = 0.
-2, 2/3, 2, 48
What is d in 2*d**3/11 - 120*d**2/11 - 3744*d/11 - 24192/11 = 0?
-12, 84
Find v, given that 3*v**3 - 45*v**2 + 189*v - 243 = 0.
3, 9
Factor -60*o**3 - 3292*o**2 - 2800*o + 432.
-4*(o + 1)*(o + 54)*(15*o - 2)
Suppose -g**2 + 18*g - 65 = 0. Calculate g.
5, 13
Find b, given that -3*b**5 - 18*b**4 - 27*b**3 + 12*b**2 + 36*b = 0.
-3, -2, 0, 1
Solve 5*p**4 - 1975*p**3 - 7985*p**2 + 1975*p + 7980 = 0.
-4, -1, 1, 399
Find a, given that 20*a**5 - 52*a**4 - 144*a**3 + 512*a**2 - 256*a - 192 = 0.
-3, -2/5, 2
Determine c so that -2*c**4 - 64*c**3 - 62*c**2 = 0.
-31, -1, 0
Factor -2*h**2 + 70*h - 68.
-2*(h - 34)*(h - 1)
Solve 2*y**5/9 - 20*y**4/9 - 46*y**3/9 - 8*y**2/3 = 0.
-1, 0, 12
Find t, given that -t**5/3 - 3*t**4 - 9*t**3 - 31*t**2/3 - 4*t = 0.
-4, -3, -1, 0
Factor -2*r**4 + 4*r**3 + 38*r**2 + 56*r + 24.
-2*(r - 6)*(r + 1)**2*(r + 2)
Let 2*v**5/11 + 168*v**4/11 + 4282*v**3/11 + 32180*v**2/11 + 92352*v/11 + 87616/11 = 0. What is v?
-37, -4, -2
Factor -3*o**2/2 + 324*o - 17496.
-3*(o - 108)**2/2
Let 5*z**3 + 25*z**2 - 40*z - 60 = 0. What is z?
-6, -1, 2
Factor 2*p**3/3 - 14*p**2/3 + 32*p/3 - 8.
2*(p - 3)*(p - 2)**2/3
Factor 2*h**2 - 240*h - 242.
2*(h - 121)*(h + 1)
Find x such that 12*x**2 - 27*x + 6 = 0.
1/4, 2
Factor f**4 - 22*f**3 - 24*f**2 + 22*f + 23.
(f - 23)*(f - 1)*(f + 1)**2
Factor c**4/3 + 7*c**3 + 139*c**2/3 + 77*c - 392/3.
(c - 1)*(c + 7)**2*(c + 8)/3
Suppose v**5/10 + 7*v**4/5 + 7*v**3/2 - 5*v**2 = 0. Calculate v.
-10, -5, 0, 1
Factor i**3 + 37*i**2 - i - 37.
(i - 1)*(i + 1)*(i + 37)
Suppose 14*k**5/17 - 130*k**4/17 + 78*k**3/17 + 506*k**2/17 + 188*k/17 - 96/17 = 0. What is k?
-1, 2/7, 3, 8
Factor 5*d**2 + 55*d + 120.
5*(d + 3)*(d + 8)
Factor 3*f**4/2 - 549*f**3 - 6669*f**2/2 - 5022*f.
3*f*(f - 372)*(f + 3)**2/2
Let -8*r**3 - 914*r**2 + 1628*r + 464 = 0. Calculate r.
-116, -1/4, 2
Find j such that -36*j**3/5 - 172*j**2/5 - 176*j/5 + 48/5 = 0.
-3, -2, 2/9
Solve b**4/4 + 21*b**3/