= 0 for t.
-188, -4
Factor 5*p**5 + 22*p**4 + 33*p**3 + 20*p**2 + 4*p.
p*(p + 1)**2*(p + 2)*(5*p + 2)
Factor 5*z**3 - 3850*z**2 + 737260*z + 1489960.
5*(z - 386)**2*(z + 2)
Suppose 2*c**5/7 + 4*c**4/7 - 6*c**3 + 44*c**2/7 + 40*c/7 - 48/7 = 0. Calculate c.
-6, -1, 1, 2
Find n, given that 2*n**5/7 + 2*n**4 + 6*n**3/7 - 46*n**2/7 - 64*n/7 - 24/7 = 0.
-6, -1, 2
Factor -l**3/7 + 68*l**2/7 - 1485*l/7 + 1458.
-(l - 27)**2*(l - 14)/7
Find y such that 28*y**4 - 568*y**3 + 26548*y**2/7 - 64752*y/7 + 51984/7 = 0.
2, 57/7
Let -5*d**3 + 95*d**2 - 400*d - 500 = 0. What is d?
-1, 10
What is p in 2*p**4/17 - 148*p**3/17 - 456*p**2/17 - 460*p/17 - 154/17 = 0?
-1, 77
Suppose -5*h**3 + 4740*h**2 = 0. Calculate h.
0, 948
Factor -f**3/6 + 71*f**2/6 + 37*f/3 - 24.
-(f - 72)*(f - 1)*(f + 2)/6
Factor -5*y**2 - 35*y + 40.
-5*(y - 1)*(y + 8)
Let -3*s**3/2 - 466*s**2 - 615*s/2 + 775 = 0. Calculate s.
-310, -5/3, 1
Suppose -178*c**3 - 538*c**2 - 368*c - 8 = 0. What is c?
-2, -1, -2/89
Suppose 2*p**5 - 22*p**4 - 24*p**3 = 0. What is p?
-1, 0, 12
Factor 5*l**3 - 60*l**2 + 60*l + 400.
5*(l - 10)*(l - 4)*(l + 2)
Let -5*a**2 - 1695*a + 1700 = 0. Calculate a.
-340, 1
Factor 35*d**2 - 130*d - 40.
5*(d - 4)*(7*d + 2)
Suppose -2*h**3/5 + 152*h**2/5 - 1638*h/5 = 0. Calculate h.
0, 13, 63
Suppose 2*p**2 - 964*p - 966 = 0. Calculate p.
-1, 483
Factor -18*o**3/5 - 15*o**2 - 11*o/5 + 4/5.
-(o + 4)*(3*o + 1)*(6*o - 1)/5
Find q such that 3*q**5 - 579*q**4 + 1719*q**3 - 1713*q**2 + 570*q = 0.
0, 1, 190
Find g such that -5*g**5 + 58*g**4 - 191*g**3 + 214*g**2 - 20*g - 56 = 0.
-2/5, 1, 2, 7
Find b such that 2*b**5 + 4*b**4 - 10*b**3 - 20*b**2 + 8*b + 16 = 0.
-2, -1, 1, 2
Find s, given that -6*s**4/5 + 664*s**3/5 + 4434*s**2/5 + 1404*s/5 = 0.
-6, -1/3, 0, 117
Solve -o**2/6 - 54*o + 327/2 = 0.
-327, 3
Let -5*b**3 + 550*b**2 - 1085*b + 540 = 0. Calculate b.
1, 108
Factor 3*z**2 + 2586*z + 557283.
3*(z + 431)**2
Factor s**3/4 - 24*s**2 - s/4 + 24.
(s - 96)*(s - 1)*(s + 1)/4
Factor 3*c**3 - 3522*c**2 - 3*c + 3522.
3*(c - 1174)*(c - 1)*(c + 1)
Suppose -44*l**5/7 - 52*l**4/7 + 24*l**3 + 208*l**2/7 + 32*l/7 = 0. What is l?
-2, -1, -2/11, 0, 2
Factor 2*h**3/11 + 68*h**2/11 + 346*h/11 + 280/11.
2*(h + 1)*(h + 5)*(h + 28)/11
Factor -14*a**2/9 + 16054*a/9 + 4588/9.
-2*(a - 1147)*(7*a + 2)/9
Factor -i**3 - 5*i**2 + 6*i.
-i*(i - 1)*(i + 6)
Determine i, given that -5*i**5 + 75*i**4 - 110*i**3 - 300*i**2 + 520*i = 0.
-2, 0, 2, 13
Let -24*y**5 - 172*y**4 - 364*y**3 - 248*y**2 - 32*y = 0. What is y?
-4, -2, -1, -1/6, 0
Factor -2*f**3/3 + 38*f**2 + 116*f/3.
-2*f*(f - 58)*(f + 1)/3
Factor 2*f**3/7 - 510*f**2/7 + 288*f - 2008/7.
2*(f - 251)*(f - 2)**2/7
Find w, given that w**3 - 15*w**2 + 54*w = 0.
0, 6, 9
Determine z, given that -4*z**5 - 12*z**4 + 84*z**3 + 44*z**2 - 192*z - 144 = 0.
-6, -1, 2, 3
Factor 2*u**5/17 + 328*u**4/17 - 13536*u**3/17 + 169344*u**2/17 - 691200*u/17.
2*u*(u - 12)**3*(u + 200)/17
Find p, given that -6*p**3/13 - 188*p**2/13 - 1408*p/13 + 1024/13 = 0.
-16, 2/3
Find g, given that 2*g**4/7 + 20*g**3/7 + 30*g**2/7 - 20*g/7 - 32/7 = 0.
-8, -2, -1, 1
Solve z**3/5 + 11*z**2 + 120*z - 900 = 0.
-30, 5
Let x**3/8 - 7*x**2/4 + 11*x/8 + 13/4 = 0. Calculate x.
-1, 2, 13
Factor -12*l**2/11 + 14*l/11 + 20/11.
-2*(l - 2)*(6*l + 5)/11
Factor -4*z**2 + 324.
-4*(z - 9)*(z + 9)
Determine o so that 2*o**3/13 - 14*o**2/13 - 66*o/13 + 270/13 = 0.
-5, 3, 9
Factor 5*j**3 + 125*j**2 + 420*j.
5*j*(j + 4)*(j + 21)
Factor 5*t**2 + 40*t - 525.
5*(t - 7)*(t + 15)
Suppose -2*g**4 - 5*g**3 + 30*g**2 + 80*g + 32 = 0. Calculate g.
-4, -2, -1/2, 4
Factor -4*h**5 - 104*h**4 - 916*h**3 - 3120*h**2 - 3600*h.
-4*h*(h + 3)**2*(h + 10)**2
Factor 3*j**4 - 51*j**2 + 108*j - 60.
3*(j - 2)**2*(j - 1)*(j + 5)
Factor 2*p**5/7 - 6*p**4/7 - 12*p**3/7 + 20*p**2/7 + 6*p + 18/7.
2*(p - 3)**2*(p + 1)**3/7
Let -4*y**5 - 344*y**4 - 996*y**3 + 16*y**2 + 1328*y = 0. Calculate y.
-83, -2, 0, 1
Suppose i**3/4 + 11*i**2/4 + 6*i = 0. What is i?
-8, -3, 0
Factor 2*i**2/7 + 24*i/7 - 8.
2*(i - 2)*(i + 14)/7
Factor -5*k**2 - 1835*k - 1830.
-5*(k + 1)*(k + 366)
Find o such that o**5/3 + o**4/3 - o**3 - o**2/3 + 2*o/3 = 0.
-2, -1, 0, 1
Factor -7*p**2/9 - p/9.
-p*(7*p + 1)/9
Factor 4*n**3/3 + 98*n**2 + 48*n - 146/3.
2*(n + 1)*(n + 73)*(2*n - 1)/3
Factor 15*k**3 + 95*k**2 - 75*k - 35.
5*(k - 1)*(k + 7)*(3*k + 1)
Let 2*a**3/7 - 1056*a**2/7 + 185856*a/7 - 10903552/7 = 0. What is a?
176
Let -5*l**2 + 110*l - 200 = 0. Calculate l.
2, 20
Factor -6728*b**3/3 - 54056*b**2/3 - 1858*b/3 - 16/3.
-2*(b + 8)*(58*b + 1)**2/3
Factor -11*o**2/5 + 79*o/5 - 14/5.
-(o - 7)*(11*o - 2)/5
Suppose -y**5/4 + 7*y**3/4 - 3*y**2/2 = 0. Calculate y.
-3, 0, 1, 2
Solve -2*v**3/7 + 46*v**2/7 + 44*v - 112 = 0 for v.
-7, 2, 28
What is b in -b**5 - 41*b**4/3 + 54*b**3 - 136*b**2/3 = 0?
-17, 0, 4/3, 2
Factor -j**4/6 + 5*j**3/2 - 53*j**2/6 + 7*j/2 + 15.
-(j - 10)*(j - 3)**2*(j + 1)/6
Let 4*b**3 + 4*b**2 - 24*b = 0. What is b?
-3, 0, 2
Suppose -2*m**3/19 - 6*m**2/19 + 8/19 = 0. Calculate m.
-2, 1
Factor 3*h**2 - 90*h - 408.
3*(h - 34)*(h + 4)
Factor 2*l**3 - 146*l**2 - 2*l + 146.
2*(l - 73)*(l - 1)*(l + 1)
Factor -3*h**3 + 111*h**2 - 108*h.
-3*h*(h - 36)*(h - 1)
Factor -2*m**3/7 - 844*m**2/7 + 242*m - 848/7.
-2*(m - 1)**2*(m + 424)/7
Find a such that 5*a**2 - 50*a - 280 = 0.
-4, 14
Suppose v**2 + 19*v + 34 = 0. What is v?
-17, -2
Factor 21*u**2 - 51*u + 18.
3*(u - 2)*(7*u - 3)
Factor 2*f**5/9 + 808*f**4/9.
2*f**4*(f + 404)/9
Solve -5*a**4 + 85*a**3 + 1710*a**2 - 27540*a - 29160 = 0 for a.
-18, -1, 18
Suppose -10*l**3/3 - 3824*l**2/3 - 366338*l/3 - 145924/3 = 0. What is l?
-191, -2/5
Factor z**5/3 - 2*z**4 + 8*z**3/3 + 2*z**2/3 - 3*z + 4/3.
(z - 4)*(z - 1)**3*(z + 1)/3
Find s such that s**5 - 5*s**4 - 3*s**3 + 17*s**2 - 10*s = 0.
-2, 0, 1, 5
Find y, given that 4*y**5 + 12*y**4 - 60*y**3 - 76*y**2 + 120*y = 0.
-5, -2, 0, 1, 3
Determine a so that 4*a**4 - 24*a**3 - 96*a**2 + 536*a - 420 = 0.
-5, 1, 3, 7
Factor -2*p**4/3 - 8*p**3/3 + 32*p/3 + 32/3.
-2*(p - 2)*(p + 2)**3/3
Factor -5*r**5 + 60*r**4 - 285*r**3 + 670*r**2 - 780*r + 360.
-5*(r - 3)**2*(r - 2)**3
Factor -2*u**3/11 - 20*u**2/11 - 58*u/11 - 40/11.
-2*(u + 1)*(u + 4)*(u + 5)/11
Factor 4*a**2 - 60*a - 64.
4*(a - 16)*(a + 1)
Let -5*o**4/3 + 280*o**3/3 - 270*o**2 + 800*o/3 - 265/3 = 0. Calculate o.
1, 53
Factor -h**3/3 - 9*h**2 + 88*h/3 - 20.
-(h - 2)*(h - 1)*(h + 30)/3
Factor 4*s**4/7 - 32*s**3/7 + 72*s**2/7 - 108/7.
4*(s - 3)**3*(s + 1)/7
Let 3*i**2 + 174*i - 1152 = 0. Calculate i.
-64, 6
Suppose -3*k**3 + 2070*k**2 + 12501*k + 18792 = 0. Calculate k.
-3, 696
Suppose -5*f**5/7 + 743*f**4/7 - 437*f**3/7 - 1039*f**2/7 + 442*f/7 + 296/7 = 0. What is f?
-1, -2/5, 1, 148
Factor 5*u**3 - 20*u**2 - 5*u + 20.
5*(u - 4)*(u - 1)*(u + 1)
Suppose -r**4 - 36*r**3 - 101*r**2 - 66*r = 0. What is r?
-33, -2, -1, 0
Let 1764*d**3 + 35616*d**2 + 6736*d + 320 = 0. What is d?
-20, -2/21
Solve -i**4/3 + 278*i**3/3 - 19321*i**2/3 = 0.
0, 139
Find c, given that c**3 + 28*c**2/3 + 7*c/3 - 6 = 0.
-9, -1, 2/3
Determine c so that 3*c**2 + 72*c + 432 = 0.
-12
Factor -2*l**2/11 + 102*l/11 + 212/11.
-2*(l - 53)*(l + 2)/11
Solve -2*p**5/11 + 4*p**4/11 + 16*p**3/11 + 4*p**2/11 - 14*p/11 - 8/11 = 0 for p.
-1, 1, 4
Determine n so that -3*n**5 + 6*n**4 + 129*n**3 - 384*n**2 + 252*n = 0.
-7, 0, 1, 2, 6
What is x in x**2 + 340*x + 28900 = 0?
-170
Determine l, given that -4*l**4 + 138*l**3 + 518*l**2 + 528*l + 152 = 0.
-2, -1, -1/2, 38
Factor o**2/6 - 75*o/2 - 113/3.
(o - 226)*(o + 1)/6
Factor -3*y**3/4 - 3*y**2 + 63*y - 108.
-3*(y - 6)*(y - 2)*(y + 12)/4
Factor 2*i**4/7 - 194*i**3/7 + 658*i**2 + 686*i.
2*i*(i - 49)**2*(i + 1)/7
Factor -3*l**3/2 - 81*l**2/2 + 819*l/2 - 735/2.
-3*(l - 7)*(l - 1)*(l + 35)/2
Factor 3*m**2 + 132*m - 423.
3*(m - 3)*(m + 47)
Determine x, given that 49*x**5/2 + 259*x**4/2 + 71*x**3/2 + 5*x**2/2 = 0.
-5, -1/7, 0
Factor -r**2 - 1218*r - 370881.
-(r + 609)**2
Factor -3*s**2 - 42*s.
-3*s*(s + 14)
Solve 6*q**4/11 + 54*q**3/11 + 162*q**2/11 + 162*q/11 = 0 for q.
-3, 0
Factor -3*f**2/4 + 120*f - 237.
-3*(f - 158)*(f - 2)/4
Determine n, given that -n**3/2 + 2*n = 0.
-2, 0, 2
Factor -4*f**5 + 11*f**4 - 9*f**3 + f**2 + f.
-f*(f - 1)**3*(4*f + 1)
Suppose 1350*s**5/7 + 24870*s**4/7 + 9456*s**3/7 - 2064*s**2 + 480*s/7 + 864/7 = 0. Calculate s.
-18, -1, -2/9