+ 170*t**2 + 540*t - 1800 = 0. What is t?
-30, -6, 2
Factor 5*v**3 + 45*v**2 - 105*v + 55.
5*(v - 1)**2*(v + 11)
Let 15*s**2/4 - 1041*s/4 + 4077/2 = 0. Calculate s.
9, 302/5
Factor 2*u**2/5 - 74*u/5 + 204/5.
2*(u - 34)*(u - 3)/5
Factor 5*u**2/4 - 635*u/4 - 160.
5*(u - 128)*(u + 1)/4
Determine q, given that -2*q**4 - 162*q**3 - 3356*q**2 - 2880*q + 6400 = 0.
-40, -2, 1
Factor 5*t**3 + 135*t**2 + 1215*t + 3645.
5*(t + 9)**3
Factor -j**2/4 - 231*j + 463.
-(j - 2)*(j + 926)/4
Factor -2*s**2 - 3576*s - 1598472.
-2*(s + 894)**2
Factor -3*t**3 - 12*t**2 + 15*t.
-3*t*(t - 1)*(t + 5)
Factor 2*h**3/7 - 88*h**2/7 - 1370*h/7 + 208.
2*(h - 56)*(h - 1)*(h + 13)/7
Factor 2*s**3 - 38*s**2 + 142*s + 182.
2*(s - 13)*(s - 7)*(s + 1)
Determine j, given that 4*j**4 + 16*j**3 - 500*j**2 + 2208*j - 2880 = 0.
-15, 3, 4
Factor -5*l**2 - 1305*l - 13750.
-5*(l + 11)*(l + 250)
Factor -4*j**5 - 80*j**4 - 468*j**3 - 648*j**2.
-4*j**2*(j + 2)*(j + 9)**2
Factor -28*b**2 - 1712*b - 244.
-4*(b + 61)*(7*b + 1)
Factor i**2 + i.
i*(i + 1)
Factor 2*a**3/9 + 98*a**2/9 + 416*a/3 + 128.
2*(a + 1)*(a + 24)**2/9
Factor -2*q**2/5 - 3936*q/5 - 1936512/5.
-2*(q + 984)**2/5
Find i such that 5*i**4/6 + 175*i**3/6 - 365*i**2/6 + 185*i/6 = 0.
-37, 0, 1
Factor 16*k**2/5 + 76*k/5 + 18/5.
2*(2*k + 9)*(4*k + 1)/5
Determine n so that 2*n**5/13 - 18*n**4/13 - 6*n**3/13 + 58*n**2/13 - 36*n/13 = 0.
-2, 0, 1, 9
Factor 2*c**4/5 + 6*c**3/5 - 26*c**2/5 - 6*c.
2*c*(c - 3)*(c + 1)*(c + 5)/5
Factor 4*m**3 - 180*m**2 + 176*m.
4*m*(m - 44)*(m - 1)
Find s, given that -21*s**5 + 4059*s**4 - 198726*s**3 + 249984*s**2 - 55296*s = 0.
0, 2/7, 1, 96
Suppose 8*f**5/3 - 104*f**4/3 - 155*f**3/2 - 227*f**2/6 + 29*f/6 + 5/2 = 0. Calculate f.
-1, -1/4, 1/4, 15
Factor 2*l**3/9 - 4*l**2/3 + 2*l - 8/9.
2*(l - 4)*(l - 1)**2/9
Solve 6*f**5 - 22*f**4 - 402*f**3 + 1134*f**2 - 1004*f + 288 = 0.
-8, 2/3, 1, 9
Factor 3*s**2 + 15*s/4 + 3/4.
3*(s + 1)*(4*s + 1)/4
Factor -2*i**3/9 - 216*i**2 - 158110*i/3 - 940900/9.
-2*(i + 2)*(i + 485)**2/9
Suppose 21*x**4/2 + 267*x**3/2 + 87*x**2 - 36*x = 0. Calculate x.
-12, -1, 0, 2/7
Solve -g**4/5 - 7*g**3/5 - 11*g**2/5 + 7*g/5 + 12/5 = 0 for g.
-4, -3, -1, 1
Determine j, given that 3*j**5 + 61*j**4 + 65*j**3 - 225*j**2 - 308*j - 76 = 0.
-19, -2, -1, -1/3, 2
Suppose -4*b**4 + 140*b**3 - 384*b**2 - 16*b + 512 = 0. Calculate b.
-1, 2, 32
Solve 2*s**5/7 - 10*s**4/7 + 12*s**3/7 + 8*s**2/7 - 16*s/7 = 0.
-1, 0, 2
Factor -2*k**3/17 + 14*k**2 - 470*k/17 + 234/17.
-2*(k - 117)*(k - 1)**2/17
Factor -2*c**3/9 + 2*c**2 + 8*c/3 - 40/9.
-2*(c - 10)*(c - 1)*(c + 2)/9
What is k in -3*k**5 + 12*k**4 + 72*k**3 - 486*k**2 + 891*k - 486 = 0?
-6, 1, 3
Factor -4*c**2 + 3624*c - 3620.
-4*(c - 905)*(c - 1)
Factor -21*h**2/4 - 3651*h/2 + 522.
-3*(h + 348)*(7*h - 2)/4
What is d in -2*d**2/9 - 46*d/9 - 40/3 = 0?
-20, -3
Find h, given that 13*h**5/9 - 31*h**4/3 - 23*h**3 - 83*h**2/9 + 2*h = 0.
-1, 0, 2/13, 9
Solve -34*s**5 + 139*s**4/2 + 251*s**3/2 - 103*s**2/2 - 183*s/2 - 18 = 0.
-1, -12/17, -1/4, 1, 3
Determine u so that -3*u**5/4 + 3*u**4/4 + 33*u**3/4 + 21*u**2/4 - 15*u/2 - 6 = 0.
-2, -1, 1, 4
Determine u so that -6*u**5 + 62*u**4 + 18*u**3 - 198*u**2 + 124*u = 0.
-2, 0, 1, 31/3
Solve o**5/9 - 80*o**4/9 + 533*o**3/3 + 80*o**2/9 - 1600*o/9 = 0 for o.
-1, 0, 1, 40
Find k such that -132*k**2 + 3692*k + 112 = 0.
-1/33, 28
Factor 3*j**4 + 156*j**3 + 591*j**2 + 726*j + 288.
3*(j + 1)**2*(j + 2)*(j + 48)
Factor -2*i**3/9 + 6*i**2 - 34*i/3 + 50/9.
-2*(i - 25)*(i - 1)**2/9
Factor -5*y**2 + 835*y + 3420.
-5*(y - 171)*(y + 4)
Factor -15*c**3/8 + 213*c**2/4 - 777*c/2 + 147.
-3*(c - 14)**2*(5*c - 2)/8
Factor -m**2/3 - 2360*m - 4177200.
-(m + 3540)**2/3
Suppose -2*n**2/19 + 16*n/19 - 30/19 = 0. What is n?
3, 5
Factor -4*h**2/3 - 208*h/3 - 196.
-4*(h + 3)*(h + 49)/3
Suppose -u**4/4 + u**3/4 + 7*u**2/4 - u/4 - 3/2 = 0. Calculate u.
-2, -1, 1, 3
Let 3*k**3/2 + 29*k**2/6 + k = 0. Calculate k.
-3, -2/9, 0
Determine s so that 6*s**2 - 76*s - 26 = 0.
-1/3, 13
Factor c**3 - 14*c**2 - 735*c.
c*(c - 35)*(c + 21)
Determine d so that 2*d**3/5 = 0.
0
Suppose 3*i**4/2 + 15*i**3 + 24*i**2 = 0. Calculate i.
-8, -2, 0
Find s such that -s**2/4 - s - 3/4 = 0.
-3, -1
Suppose w**3/2 + 407*w**2/2 + 811*w/2 + 405/2 = 0. Calculate w.
-405, -1
Suppose r**2/2 - 5*r = 0. Calculate r.
0, 10
Suppose 4*r**2/7 - 20*r - 144/7 = 0. Calculate r.
-1, 36
Solve -2*c**4/3 + 62*c**3 + 964*c**2/3 + 520*c + 784/3 = 0.
-2, -1, 98
What is j in -15*j**3 + 560*j**2 - 4475*j + 1430 = 0?
1/3, 11, 26
Factor 84*a**3 - 7844*a**2 + 2960*a + 1488.
4*(a - 93)*(3*a - 2)*(7*a + 2)
Factor -4*f**2 - 56*f - 196.
-4*(f + 7)**2
Factor -5*i**4 - 30*i**3 - 45*i**2.
-5*i**2*(i + 3)**2
Factor s**2 + 12*s + 27.
(s + 3)*(s + 9)
What is h in 4*h**2 - 392*h + 9604 = 0?
49
Let 4*a**2/9 - 380*a/9 - 776/9 = 0. What is a?
-2, 97
Factor -q**3/7 + 12*q**2/7 + 61*q/7 + 48/7.
-(q - 16)*(q + 1)*(q + 3)/7
Factor 10*g**2/11 + 9854*g/11 + 3940/11.
2*(g + 985)*(5*g + 2)/11
Factor 4*f**5 + 12*f**4 - 124*f**3 + 260*f**2 - 216*f + 64.
4*(f - 2)*(f - 1)**3*(f + 8)
Let -2*m**3 + 32*m**2 - 138*m + 108 = 0. Calculate m.
1, 6, 9
Factor 5*b**5 + 560*b**4 + 16760*b**3 + 60480*b**2 + 58320*b.
5*b*(b + 2)**2*(b + 54)**2
Determine u so that -u**2/3 + 730*u/3 - 133225/3 = 0.
365
Factor -5*q**3 - 105*q**2 + 525*q + 625.
-5*(q - 5)*(q + 1)*(q + 25)
Factor -d**3/3 - 31*d**2/3 + 65*d/3 - 11.
-(d - 1)**2*(d + 33)/3
Find n such that -n**2 - 2*n = 0.
-2, 0
What is n in 2*n**4/17 + 8*n**3/17 - 70*n**2/17 - 12*n/17 + 288/17 = 0?
-8, -2, 3
Find b such that 1707*b**3/4 + 852*b**2 - 3*b = 0.
-2, 0, 2/569
Factor -5*p**2 + 110*p - 525.
-5*(p - 15)*(p - 7)
Determine r so that r**3/5 + 12*r**2/5 - 27*r/5 + 14/5 = 0.
-14, 1
Find g, given that 5*g**3 + 80*g**2 + 365*g + 450 = 0.
-9, -5, -2
Factor 2*u**3/15 + 28*u**2/15 - 8*u/3 - 80.
2*(u - 6)*(u + 10)**2/15
Find q, given that -q**4/7 + q**3 - 6*q**2/7 = 0.
0, 1, 6
Determine k so that 12*k**5 + 177*k**4 - 657*k**3 + 789*k**2 - 375*k + 54 = 0.
-18, 1/4, 1
Suppose -5*b**3/2 - 225*b**2 - 6750*b - 67500 = 0. What is b?
-30
Factor -3*g**4 - 9*g**3 + 432*g**2 - 1620*g.
-3*g*(g - 6)**2*(g + 15)
Suppose -u**4 - 5*u**3 - 5*u**2 + 5*u + 6 = 0. What is u?
-3, -2, -1, 1
Factor 4*d**2/7 + 21324*d/7.
4*d*(d + 5331)/7
What is j in -3*j**5 + 27*j**4 - 87*j**3 + 117*j**2 - 54*j = 0?
0, 1, 2, 3
Solve 4*u**2 + 1312*u + 107584 = 0.
-164
Solve -2*l**4 + 22*l**3 + 78*l**2 + 82*l + 28 = 0 for l.
-1, 14
Determine w so that -2*w**4/21 + 16*w**3/7 - 314*w**2/21 + 164*w/7 - 32/3 = 0.
1, 8, 14
Factor -2*i**3/13 - 42*i**2/13 - 240*i/13 - 200/13.
-2*(i + 1)*(i + 10)**2/13
Factor 2*k**5/7 + 2*k**4 + 6*k**3/7 - 46*k**2/7 - 64*k/7 - 24/7.
2*(k - 2)*(k + 1)**3*(k + 6)/7
Solve 3*n**5/8 + 1065*n**4/8 + 95043*n**3/8 + 91863*n**2/8 - 93987*n/4 = 0.
-177, -2, 0, 1
Factor 3*m**2/4 - 79*m + 105/4.
(m - 105)*(3*m - 1)/4
Factor -400*d**5 - 2320*d**4 - 4324*d**3 - 2264*d**2 + 592*d - 32.
-4*(d + 2)**3*(10*d - 1)**2
Factor -h**3/6 + h**2/3 + 7*h/6 + 2/3.
-(h - 4)*(h + 1)**2/6
Factor 4*j**3 + 132*j**2 - 276*j + 140.
4*(j - 1)**2*(j + 35)
Factor m**2 + 86*m + 624.
(m + 8)*(m + 78)
What is y in 3*y**4/7 - 27*y**3/7 + 27*y**2/7 + 243*y/7 - 486/7 = 0?
-3, 3, 6
Let -147*f**4 + 118104*f**3 - 23688264*f**2 - 13565088*f - 1939248 = 0. Calculate f.
-2/7, 402
Factor -2*z**4 + 18*z**3 - 52*z**2 + 48*z.
-2*z*(z - 4)*(z - 3)*(z - 2)
Determine r so that -r**3/5 + 18*r**2/5 + r/5 - 18/5 = 0.
-1, 1, 18
Factor -y**3/9 + 19*y**2/9 - 119*y/9 + 245/9.
-(y - 7)**2*(y - 5)/9
What is b in 72*b**3/5 + 76*b**2/5 - 28*b - 8/5 = 0?
-2, -1/18, 1
Solve 5*l**5 + 60*l**4 - 70*l**3 - 60*l**2 + 65*l = 0.
-13, -1, 0, 1
Let 2*g**3/9 - 2*g**2/3 - 20*g/9 + 16/3 = 0. What is g?
-3, 2, 4
Determine k so that -5*k**4 + 510*k**3 - 11260*k**2 - 96120*k + 233280 = 0.
-8, 2, 54
Let -4035*b**2 - 10*b = 0. What is b?
-2/807, 0
Factor m**3 - 8*m**2 - 9*m.
m*(m - 9)*(m + 1)
Factor d**5/4 + 19*d**4/4 - 21*d**3/2 + d**2/2 + 41*d/4 - 21/4.
(d - 1)**3*(d + 1)*(d + 21)/4
Suppose -2*j**4 - 6*j**3 - 4*j**2 = 0. Calculate j.
-2, -1, 0
Determine t, given that -3*t**5 - 12*t**4 + 81*t**3 - 114*t**2 + 48*t = 0.
-8, 0, 1, 2
Solve 9*q**5/5 + 3*q**4 - 249*q**3/5 + 549*q**2/5 - 408*q/5 + 84/5 = 0.
-7, 1/3, 1, 2
Factor -2*w**2/5 + 664*w/5 - 55112/5.
-2*(w - 166)**2/5
Determine m so that -2*m**4 + 8*