2*(w - 4)/3
Factor -2*q**2 - 64*q - 62.
-2*(q + 1)*(q + 31)
Factor t**4/2 - 7*t**3 + 53*t**2/2 - 38*t + 18.
(t - 9)*(t - 2)**2*(t - 1)/2
Determine a, given that a**2/5 - 26*a/5 - 87/5 = 0.
-3, 29
Let -3*g**4 + 2415*g**3 - 484809*g**2 - 487227*g = 0. Calculate g.
-1, 0, 403
Determine b, given that -12*b**2 + 5608*b + 3744 = 0.
-2/3, 468
Factor 2*c**3 - 2950*c**2 + 1089286*c - 1086338.
2*(c - 737)**2*(c - 1)
Factor -36*h**4 - 44*h**3 + 64*h**2 + 16*h.
-4*h*(h - 1)*(h + 2)*(9*h + 2)
Let 4*f**4/3 + 2768*f**3/9 + 1528*f**2/3 + 304*f/3 - 916/9 = 0. What is f?
-229, -1, 1/3
Let 35*f**5 - 240*f**4 + 560*f**3 - 510*f**2 + 125*f + 30 = 0. Calculate f.
-1/7, 1, 2, 3
Find l, given that 10*l**5 + 418*l**4/3 + 1084*l**3/9 - 40*l**2/3 - 208*l/9 = 0.
-13, -2/3, 0, 2/5
Factor -5*p**3 + 515*p**2 - 15275*p + 99405.
-5*(p - 47)**2*(p - 9)
Let 2*f**2/5 + 38*f/5 + 68/5 = 0. What is f?
-17, -2
Suppose -3*g**3 + 222*g**2 + 1440*g = 0. Calculate g.
-6, 0, 80
Factor -2*k**3/7 + 130*k**2/7 - 1324*k/7 - 208.
-2*(k - 52)*(k - 14)*(k + 1)/7
Factor 3*r**2 - 441*r - 1350.
3*(r - 150)*(r + 3)
Factor -f**3 + 8*f**2 + 9*f - 72.
-(f - 8)*(f - 3)*(f + 3)
Solve 2*p**3/7 - 4*p**2 + 10*p - 44/7 = 0.
1, 2, 11
Factor -3*l**3 - 66*l**2 - 120*l.
-3*l*(l + 2)*(l + 20)
Find y such that 3*y**4/2 + 139*y**3/2 + 1730*y**2/3 + 678*y + 216 = 0.
-36, -9, -2/3
Factor r**3/8 + 463*r**2/8 - 708*r + 4275/2.
(r - 6)**2*(r + 475)/8
Factor -175*l**2 + 890*l - 240.
-5*(5*l - 24)*(7*l - 2)
Factor s**3/5 + 573*s**2/5 + 1143*s/5 + 571/5.
(s + 1)**2*(s + 571)/5
Suppose -z**3 - 4*z**2 - 4*z = 0. What is z?
-2, 0
Factor 3*r**3 - 90*r**2 - 309*r + 396.
3*(r - 33)*(r - 1)*(r + 4)
Factor -2*o**2/11 - 472*o/11 - 27848/11.
-2*(o + 118)**2/11
Factor -a**3 - 39*a**2 + 46*a + 240.
-(a - 3)*(a + 2)*(a + 40)
Suppose -9*j**4/4 + 6*j**3 - 3*j**2/4 - 6*j + 3 = 0. Calculate j.
-1, 2/3, 1, 2
Factor 5*x**3 + 10*x**2 - 45*x - 90.
5*(x - 3)*(x + 2)*(x + 3)
Let -28*s**2/5 - 4*s + 152/5 = 0. Calculate s.
-19/7, 2
Suppose 2*d**2/3 + 76*d + 432 = 0. What is d?
-108, -6
Find d, given that 2*d**4 - 422*d**3 - 6*d**2 + 1270*d - 844 = 0.
-2, 1, 211
Factor 5*w**4/2 + 25*w**3/2 + 15*w**2.
5*w**2*(w + 2)*(w + 3)/2
Determine o, given that -o**4/8 + 39*o**3/8 - 177*o**2/4 - 80*o + 300 = 0.
-3, 2, 20
Determine c, given that 4*c**3 + 8*c**2 - 32*c = 0.
-4, 0, 2
Let -5*i**4 + 70*i**3 + 15*i**2 - 200*i - 140 = 0. Calculate i.
-1, 2, 14
Factor -2*k**3 + 16*k**2 - 26*k + 12.
-2*(k - 6)*(k - 1)**2
Factor -4*y**5 + 64*y**3 + 152*y**2 + 132*y + 40.
-4*(y - 5)*(y + 1)**3*(y + 2)
Factor -w**2 + 100*w - 291.
-(w - 97)*(w - 3)
Factor 4*b**3 - 40*b**2 - 212*b - 168.
4*(b - 14)*(b + 1)*(b + 3)
Factor -17*y**4/2 + 33*y**3 - 30*y**2 - 4*y.
-y*(y - 2)**2*(17*y + 2)/2
Find s such that -s**4/3 - s**3/3 + 4*s**2 = 0.
-4, 0, 3
Determine r, given that -5*r**5/2 + 25*r**4/2 - 5*r**3 - 35*r**2 + 15*r/2 + 45/2 = 0.
-1, 1, 3
Factor -3*m**2 - 4410*m + 4413.
-3*(m - 1)*(m + 1471)
Let 4*s**3 - 100*s**2 - 708*s - 1116 = 0. What is s?
-3, 31
Factor 4*s**5 + 372*s**4 + 8460*s**3 - 8836*s**2.
4*s**2*(s - 1)*(s + 47)**2
Factor 4*y**4 - 12768*y**3 + 13585152*y**2 - 4818200576*y.
4*y*(y - 1064)**3
What is a in 5*a**2 + 100*a = 0?
-20, 0
Solve 2*r**2/15 + 56*r/3 + 278/15 = 0.
-139, -1
Factor -5*g**3 - 2005*g**2 - 3995*g - 1995.
-5*(g + 1)**2*(g + 399)
Factor -2560*b**4/17 - 7936*b**3/17 - 9216*b**2/17 - 4752*b/17 - 54.
-2*(4*b + 3)**3*(20*b + 17)/17
Determine h, given that -8*h**3 + 188*h**2 + 96*h = 0.
-1/2, 0, 24
Find g such that -4*g**4 + 1456*g**3 - 198744*g**2 + 12057136*g - 274299844 = 0.
91
Factor -4*a**3 + 1964*a**2 - 240096*a - 242064.
-4*(a - 246)**2*(a + 1)
Factor -s**2/5 + 12*s + 61/5.
-(s - 61)*(s + 1)/5
Suppose -4*v**3/3 + 9*v**2 + 79*v/3 + 6 = 0. What is v?
-2, -1/4, 9
What is b in 3*b**3 - 2628*b**2 + 580752*b - 2281152 = 0?
4, 436
Suppose -n**4 = 0. Calculate n.
0
Determine n so that 3*n**5 - 84*n**4 - 486*n**3 - 324*n**2 + 891*n = 0.
-3, 0, 1, 33
Factor g**2 + 44*g + 84.
(g + 2)*(g + 42)
Factor 2*g**2/11 - 60*g/11 + 450/11.
2*(g - 15)**2/11
Suppose -8*a**4/7 - 20*a**3/7 + 20*a**2 - 160*a/7 + 48/7 = 0. Calculate a.
-6, 1/2, 1, 2
Factor -4*b**2 - 8*b + 60.
-4*(b - 3)*(b + 5)
Let 5*x**2 - 55*x - 130 = 0. Calculate x.
-2, 13
What is q in -q**4/2 + 7*q**3 + 31*q**2/2 + 8*q = 0?
-1, 0, 16
Let 5*u**4 - 695*u**3 + 7035*u**2 + 695*u - 7040 = 0. Calculate u.
-1, 1, 11, 128
Let -95*c**2 + 635*c + 210 = 0. Calculate c.
-6/19, 7
Determine f, given that -f**2/3 - 77*f/3 - 50 = 0.
-75, -2
Determine t so that -4*t**2/5 + 2*t/15 + 34/5 = 0.
-17/6, 3
Factor -2*i**3/3 + 1262*i**2/3 - 2506*i + 3750.
-2*(i - 625)*(i - 3)**2/3
What is s in -s**4/10 + 3*s**3/10 + 213*s**2/10 + 413*s/10 + 102/5 = 0?
-12, -1, 17
Solve 8*y**4 + 66*y**3 - 144*y**2 - 40*y = 0 for y.
-10, -1/4, 0, 2
Factor -a**3/3 - 124*a**2/3 - 4565*a/3 - 42350/3.
-(a + 14)*(a + 55)**2/3
Factor -c**2 + 214*c + 215.
-(c - 215)*(c + 1)
Factor -12*u**3 + 13232*u**2 - 3652028*u + 2428808.
-4*(u - 551)**2*(3*u - 2)
What is p in 2*p**3 - 42*p**2 + 270*p - 550 = 0?
5, 11
Factor 2*d**4/5 - 4*d**3/5.
2*d**3*(d - 2)/5
Factor -2*a**2/3 - 4816*a/3.
-2*a*(a + 2408)/3
Factor 2*u**2 - 8*u.
2*u*(u - 4)
Let 2*q**2 + 58*q + 276 = 0. Calculate q.
-23, -6
Let -i**3 + 16*i**2 + 39*i - 54 = 0. Calculate i.
-3, 1, 18
Factor -69*j**2 - 411*j + 18.
-3*(j + 6)*(23*j - 1)
Factor -46*j**2 + 45*j + 1.
-(j - 1)*(46*j + 1)
What is o in 34*o**2 - 384*o + 18432/17 = 0?
96/17
Factor z**4/4 + 19*z**3/2 + 429*z**2/4 + 448*z + 539.
(z + 2)*(z + 7)**2*(z + 22)/4
Find l, given that 2*l**3/7 - 128*l**2/7 + 2048*l/7 = 0.
0, 32
Factor -5*b**3 + 50*b**2 - 115*b + 70.
-5*(b - 7)*(b - 2)*(b - 1)
Find h such that 2*h**2 + 40*h - 88 = 0.
-22, 2
Factor 3*a**5 - 63*a**4 + 267*a**3 - 453*a**2 + 342*a - 96.
3*(a - 16)*(a - 2)*(a - 1)**3
Solve 4*z**3/5 - 263*z**2/5 + 1374*z/5 + 72 = 0.
-1/4, 6, 60
Suppose o**3/4 - 17*o**2/4 + 21*o/2 = 0. What is o?
0, 3, 14
Determine i so that 5*i**2/3 - 1195*i/3 + 1190/3 = 0.
1, 238
Suppose 12*b**4 - 52*b**3 - 196*b**2 - 188*b - 56 = 0. Calculate b.
-1, -2/3, 7
Find a such that 2*a**3 - 6*a + 4 = 0.
-2, 1
Determine o so that -4*o**3/5 - 1072*o**2/5 + 4*o/5 + 1072/5 = 0.
-268, -1, 1
Suppose -3*y**2 - 9*y - 6 = 0. Calculate y.
-2, -1
Suppose -17*x**4/7 + 5*x**3 - 19*x**2/7 + x/7 = 0. Calculate x.
0, 1/17, 1
Factor 46*t**4/17 + 4*t**3/17.
2*t**3*(23*t + 2)/17
Factor 5*u**4 - 50*u**3 + 120*u**2 - 110*u + 35.
5*(u - 7)*(u - 1)**3
Determine q, given that -3*q**3 - 39*q**2 - 36*q = 0.
-12, -1, 0
Factor -14*g**3/3 + 8740*g**2/3 - 832*g.
-2*g*(g - 624)*(7*g - 2)/3
Factor -7*f**4/2 - 48*f**3 - 315*f**2/2 + 49*f.
-f*(f + 7)**2*(7*f - 2)/2
Let -s**4/3 - 64*s**3/3 + 982*s**2 - 25024*s/3 - 28033/3 = 0. Calculate s.
-97, -1, 17
Factor 2*r**5/19 + 4*r**4/19 - 14*r**3/19 + 8*r**2/19.
2*r**2*(r - 1)**2*(r + 4)/19
Determine n so that -2*n**3/3 - 48*n**2 + 146*n/3 = 0.
-73, 0, 1
Factor 25*v**4 - 220*v**3 + 339*v**2 - 172*v + 28.
(v - 7)*(v - 1)*(5*v - 2)**2
Factor u**3/3 - 7*u**2/3 - 136*u/3 - 128/3.
(u - 16)*(u + 1)*(u + 8)/3
Solve 3*g**3 - 504*g**2 - 2595*g = 0.
-5, 0, 173
Suppose 4*s**5 + 19*s**4 + 23*s**3 + 5*s**2 - 3*s = 0. Calculate s.
-3, -1, 0, 1/4
Let 4*i**4/5 - 272*i**3/5 + 2084*i**2/5 + 472*i = 0. What is i?
-1, 0, 10, 59
Determine f so that -2*f**4/9 + 6*f**3 - 76*f**2/3 + 176*f/9 = 0.
0, 1, 4, 22
Factor -3*j**2/7 + 90*j/7.
-3*j*(j - 30)/7
Solve r**5/2 - 9*r**4/2 + 14*r**3 - 18*r**2 + 8*r = 0 for r.
0, 1, 2, 4
Find k such that 3*k**3/4 + 1219*k**2/2 + 124033*k + 82418 = 0.
-406, -2/3
Factor 2*k**4/3 + 110*k**3/3 + 316*k**2/3 + 208*k/3.
2*k*(k + 1)*(k + 2)*(k + 52)/3
Factor -5*b**4 + 155*b**3 + 170*b**2 - 320*b.
-5*b*(b - 32)*(b - 1)*(b + 2)
Let 2*c**2/3 - 28*c/3 - 10 = 0. Calculate c.
-1, 15
Factor -2*q**5/5 + 4*q**3/5 - 2*q/5.
-2*q*(q - 1)**2*(q + 1)**2/5
Suppose 4*s**4 + 2704*s**3 + 2696*s**2 - 2704*s - 2700 = 0. Calculate s.
-675, -1, 1
Factor -4*k**3 + 348*k**2 - 344*k.
-4*k*(k - 86)*(k - 1)
What is s in s**3/2 + 13*s**2/2 = 0?
-13, 0
Factor 2*h**3 + 3*h**2 - 20*h - 21.
(h - 3)*(h + 1)*(2*h + 7)
Factor 2*u**2/7 + 156*u/7 - 158/7.
2*(u - 1)*(u + 79)/7
Let -2*b**4/5 - 46*b**3/15 - 22*b**2/15 + 46*b/15 + 28/15 = 0. What is b?
-7, -1, -2/3, 1
Factor 5*g**2 - 7505*g - 15030.
5*(g - 1503)*(g + 2)
Find t, given that 4*t**2 + 200*t = 0.
-50, 