k**2/8 + 165*k - 363/2 = 0. Calculate k.
-22, 1
Suppose 8*a**2/7 - 54*a + 94/7 = 0. Calculate a.
1/4, 47
Factor -4*q**3 + 76*q**2 - 140*q + 68.
-4*(q - 17)*(q - 1)**2
Let -2*f**5 + 2192*f**4 - 900912*f**3 + 164566592*f**2 - 11272811552*f = 0. What is f?
0, 274
Factor -4*f**3/9 - 1100*f**2/9 - 2188*f/9 - 364/3.
-4*(f + 1)**2*(f + 273)/9
Find k, given that k**3 + 56*k**2 - 57*k = 0.
-57, 0, 1
Solve -4*o**5/3 + 4*o**4 + 16*o**3/3 - 64*o**2/3 + 64/3 = 0 for o.
-2, -1, 2
Solve 2*h**4 - 14*h**2 + 12*h = 0.
-3, 0, 1, 2
Factor -g**2 + 685*g + 686.
-(g - 686)*(g + 1)
Suppose -38*i**3/7 - 118*i**2/7 + 1052*i/7 + 16 = 0. What is i?
-7, -2/19, 4
Factor -g**3 - 20*g**2 - 119*g - 220.
-(g + 4)*(g + 5)*(g + 11)
Factor -2*u**3 - 78*u**2 + 164*u.
-2*u*(u - 2)*(u + 41)
Let -75*f**5 + 2640*f**4 + 2223*f**3 - 2208*f**2 - 2148*f - 432 = 0. What is f?
-1, -2/5, 1, 36
What is y in 2*y**3/3 - 74*y**2/3 + 90*y - 66 = 0?
1, 3, 33
Factor -3*t**2 - 6*t + 45.
-3*(t - 3)*(t + 5)
Find r, given that -r**4/6 - 65*r**3/6 - 341*r**2/2 + 363*r/2 = 0.
-33, 0, 1
Determine q, given that -2*q**3 + 380*q**2 - 378*q = 0.
0, 1, 189
Determine y, given that -30*y**4 - 365*y**3 - 860*y**2 - 15*y + 270 = 0.
-9, -3, -2/3, 1/2
Suppose 845*d**5/4 - 2275*d**4/4 + 1775*d**3/4 - 125*d**2/4 - 50*d - 5 = 0. Calculate d.
-2/13, 1
Determine i, given that 3*i**3 - 153*i**2 + 2376*i - 10164 = 0.
7, 22
Factor 2*s**2/11 + 2*s - 24/11.
2*(s - 1)*(s + 12)/11
Find u, given that 16*u**4/9 + 26876*u**3/9 + 3760960*u**2/3 - 313600*u = 0.
-840, 0, 1/4
Let -3*i**3/5 - 276*i**2/5 = 0. Calculate i.
-92, 0
Factor -3*w**4 + 66*w**3 - 375*w**2 + 564*w - 252.
-3*(w - 14)*(w - 6)*(w - 1)**2
Factor 2*t**2/3 + 28*t/3.
2*t*(t + 14)/3
Factor 4*k**4 + 848*k**3 + 67416*k**2 + 2382032*k + 31561924.
4*(k + 53)**4
Determine c so that -28*c**4 - 256*c**3 - 540*c**2 - 72*c = 0.
-6, -3, -1/7, 0
Find p, given that -4*p**4 + 440*p**3 - 18100*p**2 + 330000*p - 2250000 = 0.
25, 30
Factor s**4/9 + 12*s**3 - 62*s**2 + 788*s/9 - 113/3.
(s - 3)*(s - 1)**2*(s + 113)/9
Let -2*k**2 + 808*k - 806 = 0. Calculate k.
1, 403
Factor 4*q**5 + 56*q**4 + 240*q**3 + 424*q**2 + 332*q + 96.
4*(q + 1)**3*(q + 3)*(q + 8)
Determine o so that -12*o**3 + 1575*o**2 + 6048*o + 3645 = 0.
-3, -3/4, 135
Determine l, given that l**2/3 + 356*l + 95052 = 0.
-534
Factor -g**5/3 + 4*g**4 - 44*g**3/3 + 16*g**2/3 + 64*g - 256/3.
-(g - 4)**3*(g - 2)*(g + 2)/3
Determine x so that x**3 + 108*x**2 + 891*x = 0.
-99, -9, 0
What is a in 6*a**3/11 - 4066*a**2/11 + 2708*a/11 = 0?
0, 2/3, 677
Determine a so that 5*a**5 + 5*a**4 - 25*a**3 - 25*a**2 + 20*a + 20 = 0.
-2, -1, 1, 2
Factor 4*m**3 + 156*m**2 - 856*m + 1056.
4*(m - 3)*(m - 2)*(m + 44)
Factor -5*y**3 + 625*y**2 - 5875*y + 14375.
-5*(y - 115)*(y - 5)**2
Factor r**4 + 16*r**3 + 69*r**2 + 54*r.
r*(r + 1)*(r + 6)*(r + 9)
Suppose t**5/2 - 25*t**4/2 + 171*t**3/2 - 311*t**2/2 - 44*t + 210 = 0. What is t?
-1, 2, 7, 15
Factor -3*y**4/2 + 258*y**3 - 11349*y**2 + 21930*y - 21675/2.
-3*(y - 85)**2*(y - 1)**2/2
Solve 35*n**4/4 + 55*n**3 + 165*n**2/4 - 80*n - 25 = 0.
-5, -2, -2/7, 1
Factor -2*g**2/15 - 2*g/3 - 4/5.
-2*(g + 2)*(g + 3)/15
Factor -b**4/8 + 7*b**3/8 - b**2/4 - 5*b.
-b*(b - 5)*(b - 4)*(b + 2)/8
Factor 3*y**4 + 1551*y**3 + 199689*y**2 - 201243*y.
3*y*(y - 1)*(y + 259)**2
Factor 2*s**2 - 178*s.
2*s*(s - 89)
Find t such that 3*t**5 + 816*t**4 - 3294*t**3 + 4956*t**2 - 3309*t + 828 = 0.
-276, 1
Factor -5*y**2 - 80*y.
-5*y*(y + 16)
Determine t so that t**3/5 - t**2/5 - 8*t/5 + 12/5 = 0.
-3, 2
Find n such that 4*n**2/7 + 2428*n/7 - 2432/7 = 0.
-608, 1
Solve -3*j**3/2 + 18*j**2 + 39*j/2 = 0 for j.
-1, 0, 13
Suppose 2*p**5/5 + 2*p**4/5 - 16*p**3/5 - 24*p**2/5 = 0. What is p?
-2, 0, 3
Determine i so that -i**2/9 + 151*i/3 - 150 = 0.
3, 450
Determine k so that -k**2/5 - 136*k/5 - 27 = 0.
-135, -1
Suppose -76*x**2 - 160*x - 16 = 0. What is x?
-2, -2/19
Let 2*v**5/5 + 58*v**4/5 + 594*v**3/5 + 486*v**2 + 2916*v/5 = 0. What is v?
-9, -2, 0
Factor -4*a**2/7 + 564*a/7.
-4*a*(a - 141)/7
Factor -4*a**3 - 108*a**2 + 112*a.
-4*a*(a - 1)*(a + 28)
Factor k**4 + 33*k**3 + 63*k**2 + 31*k.
k*(k + 1)**2*(k + 31)
What is t in 16*t**4 - 84*t**3 - 88*t**2 + 84*t + 72 = 0?
-1, -3/4, 1, 6
Factor -q**4/4 - q**3/2 + 3*q**2/4 + 2*q + 1.
-(q - 2)*(q + 1)**2*(q + 2)/4
Find h, given that 3*h**5 - 51*h**4 + 48*h**3 = 0.
0, 1, 16
Factor 5*r**5 + 10*r**4 - 35*r**3 - 100*r**2 - 60*r.
5*r*(r - 3)*(r + 1)*(r + 2)**2
Suppose m**3 + 2*m**2 = 0. Calculate m.
-2, 0
Find p, given that 2*p**2/15 - 260*p/3 - 2608/15 = 0.
-2, 652
Find t such that -t**3/2 + 225*t**2/2 + 1896*t + 7712 = 0.
-8, 241
Factor w**2 + 3479*w + 3478.
(w + 1)*(w + 3478)
Factor 4*w**3 - 52*w**2 + 204*w - 252.
4*(w - 7)*(w - 3)**2
Suppose 21*z**4/4 - 57*z**3/4 - 177*z**2/2 - 87*z - 18 = 0. Calculate z.
-2, -1, -2/7, 6
Factor -2*r**3/9 - 28*r**2/9 + 62*r/9 - 32/9.
-2*(r - 1)**2*(r + 16)/9
Factor 5*f**3 + 75*f**2 - 5*f - 75.
5*(f - 1)*(f + 1)*(f + 15)
Factor -n**2/2 - 18*n - 34.
-(n + 2)*(n + 34)/2
Factor -2*s**2/9 - 224*s/9 - 6272/9.
-2*(s + 56)**2/9
Let 3*v**4/2 + 27*v**3/2 - 3*v**2/2 - 27*v/2 = 0. What is v?
-9, -1, 0, 1
Suppose 4*y**2 + 24*y + 32 = 0. What is y?
-4, -2
Solve -3*q**4/2 - 57*q**3/2 - 351*q**2/2 - 891*q/2 - 405 = 0 for q.
-10, -3
Factor p**3/4 - p**2/2 - 5*p - 6.
(p - 6)*(p + 2)**2/4
Factor -5*x**3 - 2185*x**2 - 237615*x + 239805.
-5*(x - 1)*(x + 219)**2
Let -5*r**5 - 32*r**4 - 57*r**3 - 38*r**2 - 8*r = 0. What is r?
-4, -1, -2/5, 0
Factor c**3/6 + 14*c**2/3 + 221*c/6 + 169/3.
(c + 2)*(c + 13)**2/6
Solve -2*d**2/15 + 302*d/5 - 904/15 = 0 for d.
1, 452
Factor -b**4/3 - 14*b**3 + 469*b**2/3 + 170*b.
-b*(b - 10)*(b + 1)*(b + 51)/3
Solve 2*p**4 - 564*p**3 + 560*p**2 + 564*p - 562 = 0.
-1, 1, 281
Determine g, given that 2*g**3 - 360*g**2 - 1464*g - 1472 = 0.
-2, 184
Solve 6*y**4/5 - 204*y**3/5 + 264*y**2/5 + 5808*y = 0 for y.
-10, 0, 22
Find w, given that -2*w**3/11 + 56*w/11 + 96/11 = 0.
-4, -2, 6
Factor r**5 - 8*r**4 + 18*r**3 - 16*r**2 + 5*r.
r*(r - 5)*(r - 1)**3
Find x such that -x**3 - 96*x**2 - 2304*x = 0.
-48, 0
Factor -15*s**3 - 1165*s**2 - 1910*s - 760.
-5*(s + 1)*(s + 76)*(3*s + 2)
Factor i**2/6 + 346*i/3 + 59858/3.
(i + 346)**2/6
Factor -4*j**2 - 15449*j - 3862.
-(j + 3862)*(4*j + 1)
Suppose -196*w**5 + 1050*w**4 - 4785*w**3/4 + 1115*w**2/2 - 465*w/4 + 9 = 0. Calculate w.
1/4, 3/7, 4
What is i in i**4 + 126*i**3 + 3969*i**2 = 0?
-63, 0
Find g such that 2*g**5/3 + 2*g**4/3 - 2*g**3/3 - 2*g**2/3 = 0.
-1, 0, 1
Factor 2*h**3/3 + 340*h**2/3 + 1006*h/3 + 668/3.
2*(h + 1)*(h + 2)*(h + 167)/3
Find y such that -20*y**5 - 102*y**4 - 166*y**3 - 76*y**2 + 24*y + 16 = 0.
-2, -1, -1/2, 2/5
Let 4*z**2 - 12*z - 16 = 0. What is z?
-1, 4
Factor 5*o**4/3 + 35*o**3/3 + 10*o**2.
5*o**2*(o + 1)*(o + 6)/3
Solve -20*v**2/11 - 362*v/11 - 36/11 = 0 for v.
-18, -1/10
Find d such that 95*d**3 + 105*d**2 + 10*d = 0.
-1, -2/19, 0
Factor 5*g**3 - 85*g**2 + 275*g - 195.
5*(g - 13)*(g - 3)*(g - 1)
Factor 3*n**2 + 189*n - 390.
3*(n - 2)*(n + 65)
Solve -3*r**3/5 + 4587*r**2/5 = 0.
0, 1529
Find s such that -5*s**3 - 115*s**2 + 120*s = 0.
-24, 0, 1
Factor -3*j**2 - 138*j - 264.
-3*(j + 2)*(j + 44)
Factor -12*m**2 + 124*m - 40.
-4*(m - 10)*(3*m - 1)
Find z, given that -162*z**2/5 - 38*z - 28/5 = 0.
-1, -14/81
Factor c**5 - 2*c**4 - c**3 + 2*c**2.
c**2*(c - 2)*(c - 1)*(c + 1)
Let v**5/3 + 26*v**4/3 + 229*v**3/3 + 272*v**2 + 348*v + 144 = 0. Calculate v.
-12, -6, -1
Suppose 5*l**4/3 - 25*l**3/3 + 40*l**2/3 - 20*l/3 = 0. Calculate l.
0, 1, 2
Factor g**4/2 + 16*g**3.
g**3*(g + 32)/2
Determine a, given that -2*a**3/11 - 38*a**2/11 - 224*a/11 - 384/11 = 0.
-8, -3
Factor 2*l**3/3 + 38*l**2 + 220*l/3.
2*l*(l + 2)*(l + 55)/3
Factor -3*f**2 + 402*f - 13467.
-3*(f - 67)**2
Suppose 3*x**3/4 - 147*x**2/8 - 231*x/8 - 39/4 = 0. Calculate x.
-1, -1/2, 26
Factor w**2/4 + 10*w + 100.
(w + 20)**2/4
Let l**2/10 + 199*l/10 + 99/5 = 0. Calculate l.
-198, -1
Factor -21*h**2/2 + 18*h - 15/2.
-3*(h - 1)*(7*h - 5)/2
Find l, given that -l**3/5 + 54*l**2/5 + 111*l/5 + 56/5 = 0.
-1, 56
Solve 4*s**3 - 288*s**2 + 3024*s + 84672 = 0 for s.
-12, 42
Factor 2*a**3 - 170*a**2 - 8*a + 680.
2*(a - 85)*(a - 2)*(a + 2)
Factor 3*d**3/8 + 87*d**2/8 - 183*d/8 + 93/8.
3*(d - 1)**2*(d + 31)/8
Factor 3*d**2 + 5964*d + 2964108.
3*(d + 994)**2
Determine s so t