rmine x, given that -5*x**2 + 165*x - 160 = 0.
1, 32
Find i such that 3*i**3 - 39*i**2 + 168*i - 240 = 0.
4, 5
Factor 3*h**4 + 33*h**3 - 9*h**2 - 105*h - 66.
3*(h - 2)*(h + 1)**2*(h + 11)
Determine f so that 2*f**3 + 230*f**2 + 446*f - 678 = 0.
-113, -3, 1
Factor 2*i**5/13 - 6*i**4/13 - 12*i**3/13 + 20*i**2/13 + 42*i/13 + 18/13.
2*(i - 3)**2*(i + 1)**3/13
Solve -3*h**5/7 - 9*h**4 - 258*h**3/7 - 276*h**2/7 + 216*h/7 + 384/7 = 0 for h.
-16, -2, 1
Factor -h**2/3 - 45*h - 132.
-(h + 3)*(h + 132)/3
Let -44100*s**5 - 1680*s**4 - 16*s**3 = 0. What is s?
-2/105, 0
Factor 2*x**4/3 + 3316*x**3/3.
2*x**3*(x + 1658)/3
Suppose 2*y**2/5 + 12*y - 62/5 = 0. What is y?
-31, 1
Factor 2*w**2/11 - 436*w/11 - 1326/11.
2*(w - 221)*(w + 3)/11
Suppose 4*c**3 - 6*c**2 + 2*c = 0. Calculate c.
0, 1/2, 1
Factor -5*s**4 - 1745*s**3 - 3475*s**2 - 1735*s.
-5*s*(s + 1)**2*(s + 347)
Factor -10*y**5 - 35*y**4 - 20*y**3 + 20*y**2.
-5*y**2*(y + 2)**2*(2*y - 1)
Solve 6*d**4/5 + 338*d**3/5 + 1078*d**2/5 + 958*d/5 + 212/5 = 0.
-53, -2, -1, -1/3
Determine d so that 2*d**5/13 - 6*d**4/13 + 2*d**3/13 + 6*d**2/13 - 4*d/13 = 0.
-1, 0, 1, 2
Suppose 2*o**3/9 + 298*o**2/9 = 0. Calculate o.
-149, 0
Suppose o**5/3 + 2*o**4 + 11*o**3/3 + 2*o**2 = 0. What is o?
-3, -2, -1, 0
Let -6*m**5/5 + 38*m**4/5 + 228*m**3/5 - 16*m**2 = 0. What is m?
-4, 0, 1/3, 10
What is a in a**2/4 + 3*a/4 + 1/2 = 0?
-2, -1
Factor -2*h**4/9 - 10*h**3/9 - 2*h**2 - 14*h/9 - 4/9.
-2*(h + 1)**3*(h + 2)/9
Solve -5*w**5 + 280*w**4 - 1065*w**3 + 1310*w**2 - 520*w = 0 for w.
0, 1, 2, 52
Solve 3*n**3/2 + 381*n**2/2 - 582*n + 390 = 0 for n.
-130, 1, 2
Factor s**4 + 48*s**3 + 536*s**2 + 2112*s + 2448.
(s + 2)*(s + 6)**2*(s + 34)
Find p, given that -12*p**4 - 6609*p**3 + 8301*p**2 + 11586*p - 3312 = 0.
-552, -1, 1/4, 2
Factor d**3 - 189*d**2 + 9024*d - 8836.
(d - 94)**2*(d - 1)
Solve -z**4/5 + 63*z**3/5 - 1479*z**2/5 + 15317*z/5 - 58956/5 = 0 for z.
12, 17
Factor 4*x**4/7 + 60*x**3/7 + 200*x**2/7.
4*x**2*(x + 5)*(x + 10)/7
Find k, given that 2*k**2/13 + 2*k/13 - 684/13 = 0.
-19, 18
Find g such that -3*g**4/4 + 23*g**3 - 159*g**2 - 288*g + 256 = 0.
-2, 2/3, 16
Factor -3*h**3 + 1206*h**2 - 1197*h - 2406.
-3*(h - 401)*(h - 2)*(h + 1)
Factor 3*t**4 - 39*t**3.
3*t**3*(t - 13)
Find y such that 2*y**3 + 80*y**2 - 344*y + 352 = 0.
-44, 2
What is b in -2*b**2 - 64*b - 174 = 0?
-29, -3
Suppose 2*o**3 - 8*o**2 - 40*o + 96 = 0. Calculate o.
-4, 2, 6
Suppose -2*g**2/3 - 2062*g/3 = 0. Calculate g.
-1031, 0
Factor -3*v**2/4 + 165*v/4 - 81/2.
-3*(v - 54)*(v - 1)/4
Factor 54*v**4/7 + 1242*v**3/7 + 1206*v**2/7 + 398*v/7 + 44/7.
2*(v + 22)*(3*v + 1)**3/7
Suppose 2*m**3/7 + 2*m**2/7 - 8*m/7 - 8/7 = 0. What is m?
-2, -1, 2
Factor -4*u**4 + 560*u**3 + 1704*u**2 + 1712*u + 572.
-4*(u - 143)*(u + 1)**3
Find l such that -2*l**2/3 - 2*l/3 + 4/3 = 0.
-2, 1
Factor -4*l**3 + 1292*l**2 - 103680*l - 104976.
-4*(l - 162)**2*(l + 1)
Factor 2*c**3 - 8*c**2 + 2*c + 12.
2*(c - 3)*(c - 2)*(c + 1)
Let 4*g**5/3 + 82*g**4/3 + 244*g**3/3 + 86*g**2/3 - 280*g/3 - 136/3 = 0. What is g?
-17, -2, -1/2, 1
What is v in v**3/2 + 2*v**2 - 96*v = 0?
-16, 0, 12
Factor -1445*c**5 + 5440*c**4 + 1340*c**3 + 80*c**2.
-5*c**2*(c - 4)*(17*c + 2)**2
Factor -2*k**2/5 - 28*k/5.
-2*k*(k + 14)/5
Let 27*m**4 + 72*m**3 - 267*m**2 + 228*m - 60 = 0. What is m?
-5, 2/3, 1
Factor 4*c**2/7 - 156*c/7.
4*c*(c - 39)/7
Let -2*a**4/13 - 46*a**3/13 - 164*a**2/13 + 24*a + 432/13 = 0. Calculate a.
-18, -6, -1, 2
Factor -2*v**5 + 42*v**4 - 198*v**3 - 242*v**2.
-2*v**2*(v - 11)**2*(v + 1)
Let -d**5 - 20*d**4 - 16*d**3 + 58*d**2 + 17*d - 38 = 0. Calculate d.
-19, -2, -1, 1
Let -46*c**2/7 + 689*c/7 + 15/7 = 0. What is c?
-1/46, 15
Factor -2*m**2 + 38*m - 140.
-2*(m - 14)*(m - 5)
Factor 5*y**5 - 40*y**4 - 235*y**3 + 2070*y**2 + 2700*y - 27000.
5*(y - 6)**3*(y + 5)**2
Solve k**4/2 + 2*k**3 - 51*k**2/2 + 43*k - 20 = 0 for k.
-10, 1, 4
Factor -21*t**4/4 + 195*t**3/4 - 27*t**2/2.
-3*t**2*(t - 9)*(7*t - 2)/4
Determine h, given that -4*h**5 + 12*h**4 + 136*h**3 - 280*h**2 - 900*h - 500 = 0.
-5, -1, 5
Determine n, given that n**2/3 + 35*n/3 = 0.
-35, 0
Factor -4*n**5 - 40*n**4 - 160*n**3 - 320*n**2 - 320*n - 128.
-4*(n + 2)**5
Factor 2*h**2/3 + 806*h/3 + 268.
2*(h + 1)*(h + 402)/3
Factor -4*p**2 + 180*p + 376.
-4*(p - 47)*(p + 2)
What is s in -2*s**2 - 44*s + 46 = 0?
-23, 1
Determine g, given that g**3/6 + 29*g**2/3 - 122*g/3 + 124/3 = 0.
-62, 2
Factor 2*f**2/3 + 14*f/3 - 12.
2*(f - 2)*(f + 9)/3
Let -r**5 - 2*r**4 + 3*r**3 + 8*r**2 + 4*r = 0. What is r?
-2, -1, 0, 2
Solve 2*m**4 - 308*m**3/5 + 238*m**2/5 + 12*m = 0.
-1/5, 0, 1, 30
Determine a, given that -3*a**3 + 12*a**2 + 15*a = 0.
-1, 0, 5
Determine o so that -21*o**4 - 148*o**3 - 322*o**2 - 204*o - 9 = 0.
-3, -1, -1/21
Factor -f**4/9 + f**3/9 + f**2 - f.
-f*(f - 3)*(f - 1)*(f + 3)/9
Factor 2*j**4 + 34*j**3 - 204*j**2 + 344*j - 176.
2*(j - 2)**2*(j - 1)*(j + 22)
What is n in -110*n**4 - 1555*n**3 - 5565*n**2 - 245*n + 1715 = 0?
-7, -7/11, 1/2
Factor 5*m**3 - 1975*m**2 - 3970*m.
5*m*(m - 397)*(m + 2)
Suppose 5*n**3 - 10*n**2 - 55*n + 60 = 0. Calculate n.
-3, 1, 4
Factor -5*q**3/4 + 415*q**2/4 + 780*q + 675.
-5*(q - 90)*(q + 1)*(q + 6)/4
Factor -2*y**2/7 - 8*y/7 - 6/7.
-2*(y + 1)*(y + 3)/7
Suppose 826*y**2 + 432*y/7 + 8/7 = 0. What is y?
-2/49, -2/59
Factor -2*y**3/5 + 238*y**2/5 + 2*y/5 - 238/5.
-2*(y - 119)*(y - 1)*(y + 1)/5
Determine d so that d**5 - 78*d**3 - 404*d**2 - 723*d - 396 = 0.
-4, -3, -1, 11
Factor -4*l**2/3 + 148*l/3 + 656/3.
-4*(l - 41)*(l + 4)/3
Determine t, given that -3*t**5 - 42*t**4 + 9*t**3 + 120*t**2 - 84*t = 0.
-14, -2, 0, 1
Let 4*h**5/9 + 4*h**4/9 - 16*h**3/9 - 16*h**2/9 = 0. Calculate h.
-2, -1, 0, 2
Factor h**3/7 + 8*h**2/7 + 11*h/7 - 20/7.
(h - 1)*(h + 4)*(h + 5)/7
Let 3*t**5/2 - 117*t**4/4 - 93*t**3/2 + 8169*t**2/4 + 3087*t + 1029 = 0. Calculate t.
-7, -1, -1/2, 14
Factor -9*c**3/7 - 15*c**2 - 288*c/7 + 108/7.
-3*(c + 6)**2*(3*c - 1)/7
Suppose z**3/8 + 9*z**2/4 + 81*z/8 = 0. Calculate z.
-9, 0
Factor a**3/7 - a - 6/7.
(a - 3)*(a + 1)*(a + 2)/7
Factor -y**2 + 20*y - 51.
-(y - 17)*(y - 3)
Factor 3*m**2/5 + 297*m/5 + 294/5.
3*(m + 1)*(m + 98)/5
Let 2*o**2 - 24*o + 22 = 0. Calculate o.
1, 11
Find m, given that -2*m**5 - 68*m**4 - 242*m**3 + 5712*m**2 - 14112*m = 0.
-21, 0, 4
Factor k**2/4 - 9*k + 35/4.
(k - 35)*(k - 1)/4
Factor -4*y**5 + 24*y**4 - 48*y**3 + 40*y**2 - 12*y.
-4*y*(y - 3)*(y - 1)**3
Determine j so that -15125*j**2 - 94600*j - 147920 = 0.
-172/55
Factor -3*m**4 + 24*m**3 + 90*m**2 + 96*m + 33.
-3*(m - 11)*(m + 1)**3
Factor 3*v**3/8 - 33*v**2/8 - 129*v/2 - 60.
3*(v - 20)*(v + 1)*(v + 8)/8
Let 6*r**4/7 + 636*r**3/7 - 648*r**2/7 - 636*r/7 + 642/7 = 0. What is r?
-107, -1, 1
Solve 3*l**4 + 33*l**3 + 24*l**2 - 60*l = 0 for l.
-10, -2, 0, 1
Let c**4/4 + 11*c**3/2 - 2*c**2 - 795*c/2 + 1575/4 = 0. Calculate c.
-15, 1, 7
Determine y so that y**4/3 + 4*y**3 + 4*y**2/3 - 64*y + 256/3 = 0.
-8, 2
Determine h so that 2*h**3/5 - 54*h**2/5 = 0.
0, 27
Find u, given that u**2/4 + 19*u/4 + 9/2 = 0.
-18, -1
Factor -3*z**4 - 12*z**3 - 15*z**2 - 6*z.
-3*z*(z + 1)**2*(z + 2)
Factor 5*m**4 - 75*m**3 + 345*m**2 - 485*m + 210.
5*(m - 7)*(m - 6)*(m - 1)**2
Factor -a**2 - 678*a - 114921.
-(a + 339)**2
Suppose j**5/5 + 236*j**4/5 + 13441*j**3/5 - 57354*j**2/5 + 3168*j + 17280 = 0. Calculate j.
-120, -1, 2, 3
Let 8*m**4 - 34*m**3/5 - 2*m**2 + 4*m/5 = 0. What is m?
-2/5, 0, 1/4, 1
Factor 4*y**3 + 48*y**2 - 844*y + 792.
4*(y - 9)*(y - 1)*(y + 22)
Factor -q**3/4 - 17*q**2/4 - 15*q/2.
-q*(q + 2)*(q + 15)/4
Find b such that -3*b**2/5 - 984*b/5 + 987/5 = 0.
-329, 1
Suppose -s**2/2 + s + 12 = 0. What is s?
-4, 6
Let 4*h**4 + 364*h**3 + 7716*h**2 - 25756*h + 17672 = 0. What is h?
-47, 1, 2
Factor -j**2/5 + 224*j - 62720.
-(j - 560)**2/5
Suppose -42*o**2 - 16*o = 0. What is o?
-8/21, 0
Suppose -4*t**5/5 + 8*t**4/5 + 28*t**3/5 - 32*t**2/5 - 48*t/5 = 0. What is t?
-2, -1, 0, 2, 3
Solve -2*k**4/5 - 2*k**3 - 14*k**2/5 - 6*k/5 = 0 for k.
-3, -1, 0
Suppose -n**5/3 - 52*n**4/9 - 200*n**3/9 + 290*n**2/9 + 67*n + 18 = 0. What is n?
-9, -1, -1/3, 2
Let 222*l**5/17 - 1418*l**4/17 + 2370*l**3/17 + 98*l**2/17 - 1344*l/17 + 72/17 = 0. What is l?
-2/3, 2/37, 1, 3
Factor -33*q**4/7 - 18*q**3 - 108*q**2/7 + 24*q/7.
-3*q*(q + 2)**2*(11*q - 2)/7
Determine a, given that -2*a**4/5 - 1