0?
-4, -2, -1, 20
Factor 2*t**4/9 - 196*t**3/9 + 386*t**2/9 - 64*t/3.
2*t*(t - 96)*(t - 1)**2/9
Find p such that -p**3 + 23*p**2 + 609*p + 585 = 0.
-15, -1, 39
Determine y so that y**3 + 17*y**2 + 44*y + 28 = 0.
-14, -2, -1
Let -14*m**4/17 - 30*m**3/17 + 114*m**2/17 + 262*m/17 + 132/17 = 0. What is m?
-22/7, -1, 3
Factor 4*u**2 + 35*u - 9.
(u + 9)*(4*u - 1)
Factor 5*t**4/2 - 12*t**3 + 41*t**2/2 - 15*t + 4.
(t - 2)*(t - 1)**2*(5*t - 4)/2
Factor -u**2/2 - 19*u/2 - 17.
-(u + 2)*(u + 17)/2
Factor -4*p**4 - 16*p**3 - 8*p**2 + 16*p + 12.
-4*(p - 1)*(p + 1)**2*(p + 3)
Factor 9*u**4 + 57*u**3 + 63*u**2 + 15*u.
3*u*(u + 1)*(u + 5)*(3*u + 1)
Factor -432*y**4 + 3240*y**3 - 1548*y**2 + 254*y - 14.
-2*(y - 7)*(6*y - 1)**3
Determine s so that s**5/4 - 15*s**4/4 = 0.
0, 15
Solve v**4/5 - 83*v**3/5 - 169*v**2/5 - 17*v = 0 for v.
-1, 0, 85
Factor -o**2 - 2456*o - 1507984.
-(o + 1228)**2
Factor o**4/3 + 7*o**3/3 - 1352*o**2/3 - 7232*o + 7680.
(o - 40)*(o - 1)*(o + 24)**2/3
Solve -15*s**2 - 220*s + 75 = 0.
-15, 1/3
Factor 5*b**2/3 + 95*b/3 + 440/3.
5*(b + 8)*(b + 11)/3
Factor -2*f**5/7 + 1936*f**4/7 - 625970*f**3/7 + 9716948*f**2 - 19166728*f + 9538928.
-2*(f - 322)**3*(f - 1)**2/7
Determine s, given that 3*s**3 - 57*s**2 + 192*s - 180 = 0.
2, 15
Factor -5*f**3 - 220*f**2 - 775*f + 1000.
-5*(f - 1)*(f + 5)*(f + 40)
Factor -3*k**4 + 21*k**3 - 18*k**2 - 96*k + 96.
-3*(k - 4)**2*(k - 1)*(k + 2)
Determine g, given that -20*g**4/7 - 608*g**3/7 - 240*g**2/7 = 0.
-30, -2/5, 0
Let 5*f**2 + 440*f + 435 = 0. What is f?
-87, -1
Solve -3*o**4 + 12*o**2 = 0.
-2, 0, 2
Factor y**3/5 - 189*y**2/5 + 75*y - 187/5.
(y - 187)*(y - 1)**2/5
Factor -28*n**5 - 170*n**4/3 - 4*n**3/3.
-2*n**3*(n + 2)*(42*n + 1)/3
Determine z so that -z**2/6 - 14*z - 81/2 = 0.
-81, -3
Suppose -d**4/3 - 14*d**3/3 - 15*d**2 - 52*d/3 - 20/3 = 0. What is d?
-10, -2, -1
Factor q**2/6 + 4*q/3 + 7/6.
(q + 1)*(q + 7)/6
Determine w so that 5*w**3/2 + 85*w**2/2 + 40*w = 0.
-16, -1, 0
Factor -b**2 + 133*b - 882.
-(b - 126)*(b - 7)
Factor 52*y**5 + 320*y**4 + 48*y**3.
4*y**3*(y + 6)*(13*y + 2)
What is q in -2*q**3/11 + 2*q**2/11 + 10*q/11 + 6/11 = 0?
-1, 3
Find c, given that -2*c**2 + 264*c - 8712 = 0.
66
Factor -25*w**3 + 110*w**2 - 115*w + 30.
-5*(w - 3)*(w - 1)*(5*w - 2)
Let -12*r**5 + 199*r**4/3 - 296*r**3/3 + 41*r**2/3 + 80*r/3 + 4 = 0. What is r?
-1/4, -2/9, 1, 2, 3
Factor 2*p**3 - 12*p**2 + 22*p - 12.
2*(p - 3)*(p - 2)*(p - 1)
Solve -v**3/4 - 7*v**2/4 - 15*v/4 - 9/4 = 0.
-3, -1
Solve -4*m**3 + 36*m**2 - 32*m = 0.
0, 1, 8
Factor 5*q**3 - 70*q**2 - 5*q + 70.
5*(q - 14)*(q - 1)*(q + 1)
Factor -l**2 + 644*l + 1292.
-(l - 646)*(l + 2)
Let 3*l**5/2 - 6*l**3 - 3*l**2 + 9*l/2 + 3 = 0. What is l?
-1, 1, 2
Factor -m**3 + 61*m**2/3 + 110*m/3.
-m*(m - 22)*(3*m + 5)/3
Factor 4*m**4 - 56*m**3 + 100*m**2 - 48*m.
4*m*(m - 12)*(m - 1)**2
Let 4*g**4/3 - 352*g**2 - 4096*g/3 - 1344 = 0. Calculate g.
-14, -2, 18
Suppose -20*q**4 + 136*q**3 - 196*q**2 + 80*q = 0. What is q?
0, 4/5, 1, 5
Find m, given that m**3/3 - 28*m**2/3 - 473*m + 13794 = 0.
-38, 33
Factor 5*m**4 - 15*m**3 - 25*m**2 + 15*m + 20.
5*(m - 4)*(m - 1)*(m + 1)**2
Find q, given that 2*q**3/11 + 12*q**2 + 264*q + 1936 = 0.
-22
Suppose 3*i**4/4 - 9*i**3/4 + 3*i**2/4 + 9*i/4 - 3/2 = 0. What is i?
-1, 1, 2
What is a in -52*a**3 + 56*a**2 + 52*a - 56 = 0?
-1, 1, 14/13
Find a, given that 24*a**4/7 - 8*a**3 + 6*a**2/7 + 24*a/7 - 8/7 = 0.
-2/3, 1/2, 2
Solve -m**4 - 177*m**3 + 178*m**2 = 0 for m.
-178, 0, 1
Suppose -2*f**4/5 - 12*f**3/5 - 18*f**2/5 - 8*f/5 = 0. What is f?
-4, -1, 0
Find m, given that -7*m**3 - 5*m**2 + 212*m - 60 = 0.
-6, 2/7, 5
Let -m**2 - 355*m + 356 = 0. Calculate m.
-356, 1
Find p, given that -7*p**4/8 + 209*p**3/2 - 357*p**2/8 = 0.
0, 3/7, 119
Determine b, given that 3*b**2/5 + 24*b + 105 = 0.
-35, -5
Solve i**2 + 337*i + 1332 = 0 for i.
-333, -4
Solve -49*y**5/3 - 343*y**4/3 - 388*y**3/3 + 812*y**2/3 + 32*y/3 - 64/3 = 0 for y.
-4, -2/7, 2/7, 1
Factor 3*q**3/5 + 4278*q**2/5 + 1525107*q/5.
3*q*(q + 713)**2/5
Determine r so that r**3/4 - 5*r**2/2 - 13*r - 14 = 0.
-2, 14
Let -2*m**4 - 12*m**3 + 112*m**2 + 12*m - 110 = 0. What is m?
-11, -1, 1, 5
Let f**3/5 - 10*f**2 + 572*f/5 + 1352/5 = 0. What is f?
-2, 26
Suppose 2*s**5/9 + 178*s**4/9 - 182*s**3/9 - 178*s**2/9 + 20*s = 0. Calculate s.
-90, -1, 0, 1
Find j such that -2*j**5 + 9*j**4 + 22*j**3 - 93*j**2 - 56*j + 48 = 0.
-3, -1, 1/2, 4
Suppose -x**5 + 11*x**3 - 18*x**2 + 8*x = 0. Calculate x.
-4, 0, 1, 2
Factor -3*z**2 - 1464*z - 178608.
-3*(z + 244)**2
Factor -2*m**3 - 204*m**2 + 2190*m - 5600.
-2*(m - 5)**2*(m + 112)
Suppose -15*r**5 + 6*r**4 + 24*r**3 - 6*r**2 - 9*r = 0. Calculate r.
-1, -3/5, 0, 1
Factor 5*a**4 - 20*a**3 + 5*a**2 + 30*a.
5*a*(a - 3)*(a - 2)*(a + 1)
Find w such that 3*w**3/2 + 69*w**2 + 357*w/2 - 645 = 0.
-43, -5, 2
Suppose 60*w**3 + 921*w**2 + 297*w - 270 = 0. What is w?
-15, -3/4, 2/5
Let -3*t**2 + 606*t - 1200 = 0. Calculate t.
2, 200
Factor 3*b**4/5 + 3*b**3/5 - 66*b**2/5 + 132*b/5 - 72/5.
3*(b - 2)**2*(b - 1)*(b + 6)/5
Solve -105*i**3 - 1892*i**2 - 3396*i - 64 = 0.
-16, -2, -2/105
Factor 4*v**2 - 596*v - 1824.
4*(v - 152)*(v + 3)
Solve 5*g**4 - 620*g**3 - 3860*g**2 - 5200*g = 0.
-4, -2, 0, 130
Factor 3*k**4 + 93*k**3 + 666*k**2 + 540*k - 4536.
3*(k - 2)*(k + 6)**2*(k + 21)
Factor -t**3/4 - 3*t**2/4 + 9*t/4 - 5/4.
-(t - 1)**2*(t + 5)/4
Solve 2*p**2 + 1498*p + 1496 = 0.
-748, -1
What is b in 5*b**3/9 - 8*b**2/9 - 19*b/9 - 2/3 = 0?
-1, -2/5, 3
Solve -2*t**5 + 24*t**4 - 37*t**3/2 - 75*t**2/2 - 11*t = 0.
-1/2, 0, 2, 11
Solve i**3/2 - 11*i**2 - i/2 + 11 = 0 for i.
-1, 1, 22
Find z such that z**3/6 - 124*z**2/3 + 247*z/6 = 0.
0, 1, 247
Factor -3*n**2/5 + 3573*n/5 + 7158/5.
-3*(n - 1193)*(n + 2)/5
Factor 3*p**2/4 - 165*p/4 - 261/2.
3*(p - 58)*(p + 3)/4
Factor 2*p**3/11 + 182*p**2/11 - 184*p/11.
2*p*(p - 1)*(p + 92)/11
What is r in -3*r**2 - 99*r - 96 = 0?
-32, -1
Let 5*b**5 + 185*b**4 + 2310*b**3 + 10780*b**2 + 13720*b = 0. What is b?
-14, -7, -2, 0
Factor -5*t**3 - 4980*t**2 - 1653360*t - 182971840.
-5*(t + 332)**3
Factor 4*i**3/7 + 64*i**2/7 - 4*i/7 - 64/7.
4*(i - 1)*(i + 1)*(i + 16)/7
Factor 2*m**5 + 8*m**4 + 10*m**3 + 4*m**2.
2*m**2*(m + 1)**2*(m + 2)
Let n**4/6 + 4*n**3/3 - 3*n**2/2 - 18*n + 18 = 0. What is n?
-6, 1, 3
Factor -s**2/7 - 58*s/7 - 841/7.
-(s + 29)**2/7
What is d in -d**4 - 53*d**3/4 - 153*d**2/4 + 161*d/4 + 49/4 = 0?
-7, -1/4, 1
Let 5*i**2 + 115*i = 0. Calculate i.
-23, 0
Find b, given that 10658*b**5/9 - 192428*b**4/9 + 873818*b**3/9 - 5272*b**2 + 72*b = 0.
0, 2/73, 9
Determine r, given that 243*r**4/5 + 108*r**3/5 + 12*r**2/5 = 0.
-2/9, 0
Find z such that 5*z**5 + 120*z**4 + 215*z**3 - 120*z**2 - 220*z = 0.
-22, -2, -1, 0, 1
Factor 2*a**4 - 1028*a**3 + 176472*a**2 - 10175868*a + 10000422.
2*(a - 171)**3*(a - 1)
Solve -8*n**4/9 - 146*n**3/9 - 28*n**2 + 146*n/9 + 260/9 = 0.
-65/4, -2, -1, 1
Find u, given that 5*u**2 + 140*u + 260 = 0.
-26, -2
Factor 3*l**3/5 - 18*l**2 + 756*l/5 - 1176/5.
3*(l - 14)**2*(l - 2)/5
Factor s**4 + s**3 - 4*s**2 - 4*s.
s*(s - 2)*(s + 1)*(s + 2)
Find o such that -9025*o**2 - 7980*o - 1764 = 0.
-42/95
Let 4*k**2 - 272*k + 4624 = 0. Calculate k.
34
Factor 3*f**2 - 5526*f + 2544723.
3*(f - 921)**2
Factor -5*z**3 - 64075*z**2 - 205248240*z + 205312320.
-5*(z - 1)*(z + 6408)**2
Determine s, given that 2*s**4/7 - 6*s**3/7 - 22*s**2/7 + 6*s/7 + 20/7 = 0.
-2, -1, 1, 5
Determine o, given that -o**3/2 + 7*o/2 - 3 = 0.
-3, 1, 2
Factor -9*r**3 - 60*r**2 - 133*r - 98.
-(r + 2)*(3*r + 7)**2
Solve 3*r**4 - 27*r**3 + 6*r**2 + 252*r + 216 = 0.
-2, -1, 6
Factor -t**5 + 30*t**4 - 109*t**3 + 132*t**2 - 52*t.
-t*(t - 26)*(t - 2)*(t - 1)**2
Find j such that 2*j**2/23 + 10*j/23 + 8/23 = 0.
-4, -1
Solve -28*a**2 - 3884*a - 2760 = 0 for a.
-138, -5/7
Solve 3*a**4/7 + 3*a**3/7 - 3*a**2/7 - 3*a/7 = 0 for a.
-1, 0, 1
What is l in l**2/5 + 5*l + 66/5 = 0?
-22, -3
Factor 2*l**2/7 - 2*l.
2*l*(l - 7)/7
What is r in 3*r**2 + 33*r - 126 = 0?
-14, 3
Suppose n**3/2 + 251*n**2/2 + 8296*n + 52094 = 0. What is n?
-122, -7
Factor 5*c**4 + 70*c**3 + 60*c**2 - 70*c - 65.
5*(c - 1)*(c + 1)**2*(c + 13)
Factor 2*z**4/7 - 2*z**3/7 - 24*z**2/7 + 8*z - 32/7.
2*(z - 2)**2*(z - 1)*(z + 4)/7
Determine i so that 15*i**5 - 20*i**4 - 260*i**3 - 130*i**2 + 245*i + 150 = 0.
-3, -1, -2/3, 1, 5
Find o