57510*i**2 - 120285*i - 185895 = 0?
-1, 9, 51
Factor -5*a**5 + 55*a**4 - 50*a**3.
-5*a**3*(a - 10)*(a - 1)
Solve 12*p**5 + 23*p**4 - 15*p**3 - 25*p**2 + 3*p + 2 = 0.
-2, -1, -1/4, 1/3, 1
Factor -w**3/4 + 93*w**2/4 + 97*w.
-w*(w - 97)*(w + 4)/4
Factor -3*g**3 + 288*g**2 - 8640*g + 76800.
-3*(g - 40)**2*(g - 16)
Suppose -q**4 - 27*q**3 - 231*q**2 - 605*q = 0. Calculate q.
-11, -5, 0
Determine z so that 36*z**5 - 172*z**4 - 508*z**3 - 356*z**2 - 56*z = 0.
-1, -2/9, 0, 7
Factor 6*j**3 - 8*j**2 - 70*j + 24.
2*(j - 4)*(j + 3)*(3*j - 1)
Factor -l**3/4 + 7*l**2/4 + 20*l - 144.
-(l - 8)**2*(l + 9)/4
Factor -3*t**2 - 258*t.
-3*t*(t + 86)
Determine f, given that f**2/11 - 135*f/11 - 136/11 = 0.
-1, 136
Factor -3*q**2 - 219*q - 1020.
-3*(q + 5)*(q + 68)
Let 4*y**2 - 152*y - 492 = 0. What is y?
-3, 41
Let -2*l**2/3 + 940*l/3 - 110450/3 = 0. What is l?
235
Suppose -2*u**2/9 + 3604*u/9 - 1623602/9 = 0. Calculate u.
901
Find b such that -b**4/8 - 5*b**3/4 - 3*b**2/2 + 9*b = 0.
-6, 0, 2
What is u in u**4 - 75*u**3 - 231*u**2 - 233*u - 78 = 0?
-1, 78
Factor -o**4/2 - 21*o**3/2 - 57*o**2/2 - 55*o/2 - 9.
-(o + 1)**3*(o + 18)/2
Factor c**2/2 + 181*c + 32761/2.
(c + 181)**2/2
Determine r, given that -12*r**2 - 70*r/3 + 4/3 = 0.
-2, 1/18
Factor 3*t**3 + 159*t**2 + 297*t - 459.
3*(t - 1)*(t + 3)*(t + 51)
Determine t so that -4*t**5/5 + 28*t**4/5 - 56*t**3/5 + 32*t**2/5 = 0.
0, 1, 2, 4
Factor -m**3/5 - 64*m**2 - 953*m/5 - 634/5.
-(m + 1)*(m + 2)*(m + 317)/5
Factor -4*t**3 + 12*t**2 + 4*t - 12.
-4*(t - 3)*(t - 1)*(t + 1)
Let -2*y**3/3 + 20*y**2/9 + 16*y/9 = 0. Calculate y.
-2/3, 0, 4
Factor i**3/5 + 2*i**2/5 + i/5.
i*(i + 1)**2/5
Let -14*j**4/5 - 32*j**3/5 + 18*j**2 - 28*j/5 - 16/5 = 0. What is j?
-4, -2/7, 1
What is l in -l**3/4 - 23*l**2/4 + 157*l/2 - 132 = 0?
-33, 2, 8
Determine g, given that 12*g**2/7 - 38121*g/7 - 9531/7 = 0.
-1/4, 3177
Factor 18*d**5 - 7908*d**4 + 1161584*d**3 - 57556704*d**2 + 75202848*d - 24897088.
2*(d - 146)**3*(3*d - 2)**2
Suppose 4*m**5 + 148*m**4 - 1416*m**3 + 1240*m**2 + 7300*m + 4500 = 0. What is m?
-45, -1, 5
Suppose j**5/3 - 4*j**3/3 + 2*j**2/3 + j - 2/3 = 0. Calculate j.
-2, -1, 1
Factor 36*f**4 + 12*f**3 - 1544*f**2 - 2032*f - 672.
4*(f - 7)*(f + 6)*(3*f + 2)**2
Factor 2*q**2/7 + 1216*q/7 + 184832/7.
2*(q + 304)**2/7
Suppose -2*m**5 - 12*m**4 + 112*m**3 + 588*m**2 - 686*m = 0. What is m?
-7, 0, 1, 7
Suppose s**3/2 + 3*s**2/2 - 8*s + 6 = 0. Calculate s.
-6, 1, 2
Factor 4*d**3 + 64*d**2.
4*d**2*(d + 16)
Find l such that 5*l**3 - 20*l**2 + 15*l = 0.
0, 1, 3
Factor b**2/2 + 121*b + 14641/2.
(b + 121)**2/2
Factor f**3/8 - 167*f**2/4 - 2031*f/8 - 765/2.
(f - 340)*(f + 3)**2/8
Find l, given that -l**4 + 47*l**3 - 366*l**2 + 928*l - 608 = 0.
1, 4, 38
Find v, given that -2*v**5/3 + 26*v**4/3 - 68*v**3/3 - 20*v**2 + 66*v + 54 = 0.
-1, 3, 9
Suppose -25*d**4 + 2235*d**3 - 49265*d**2 - 31275*d + 20250 = 0. Calculate d.
-1, 2/5, 45
Factor -5*d**5 + 350*d**4 - 6460*d**3 + 11560*d**2.
-5*d**2*(d - 34)**2*(d - 2)
Factor -h**3 + 13*h**2 - 40*h + 36.
-(h - 9)*(h - 2)**2
Factor -q**5/5 - 6*q**4/5 - q**3.
-q**3*(q + 1)*(q + 5)/5
Factor -4*p**4 - 48*p**3 - 84*p**2 - 40*p.
-4*p*(p + 1)**2*(p + 10)
Suppose 5*w**4 - 2935*w**3 + 573300*w**2 - 37071440*w - 37647680 = 0. Calculate w.
-1, 196
Solve 9*n**5/7 - 326*n**4/7 - 261*n**3/7 + 74*n**2/7 = 0.
-1, 0, 2/9, 37
Determine t so that 4*t**3 - 1216*t**2 + 9500*t - 8288 = 0.
1, 7, 296
Suppose 5*v**5 - 5*v**4 - 5*v**3 + 5*v**2 = 0. What is v?
-1, 0, 1
Factor 2*x**2/9 - 2*x/9 - 4/9.
2*(x - 2)*(x + 1)/9
Factor 4*g**2/3 - 904*g/3.
4*g*(g - 226)/3
Solve 6*o**5 + 56*o**4 + 12*o**3 - 56*o**2 - 18*o = 0.
-9, -1, -1/3, 0, 1
Let -n**4 - 153*n**3 + 782*n**2 - 1260*n + 632 = 0. Calculate n.
-158, 1, 2
Factor -2*y**2 + 6*y - 4.
-2*(y - 2)*(y - 1)
Suppose -l**2/7 + 909*l = 0. Calculate l.
0, 6363
Factor -196*b**3 - 112*b**2/3 - 16*b/9.
-4*b*(21*b + 2)**2/9
Find x such that 5*x**2 + 7580*x + 7575 = 0.
-1515, -1
What is s in -s**3/5 - 32*s**2/5 - 36*s + 1296/5 = 0?
-18, 4
Factor -2*o**2/3 + 10*o - 28/3.
-2*(o - 14)*(o - 1)/3
Suppose -3*i**3 + 30*i**2 + 1416*i + 2688 = 0. What is i?
-16, -2, 28
Find d such that -2*d**3 - 82*d**2 + 2*d + 82 = 0.
-41, -1, 1
Factor -h**3 - 46*h**2 - 316*h - 456.
-(h + 2)*(h + 6)*(h + 38)
Determine w, given that -2*w**4/3 - 172*w**3/3 - 826*w**2/3 - 1304*w/3 - 216 = 0.
-81, -2, -1
Factor -t**4/2 - 3*t**3/2 + 5*t**2/2 + 3*t/2 - 2.
-(t - 1)**2*(t + 1)*(t + 4)/2
Let -2*w**5/21 - 16*w**4/21 - 12*w**3/7 - 32*w**2/21 - 10*w/21 = 0. Calculate w.
-5, -1, 0
Factor 2*d**4/3 + 2*d**3 - 4*d**2 - 16*d/3.
2*d*(d - 2)*(d + 1)*(d + 4)/3
Factor 3*y**4 + 27*y**3 + 21*y**2 - 27*y - 24.
3*(y - 1)*(y + 1)**2*(y + 8)
Solve 2*q**5/11 + 42*q**4/11 - 2*q**3/11 - 42*q**2/11 = 0.
-21, -1, 0, 1
Factor 3*y**3 - 12*y**2.
3*y**2*(y - 4)
Factor o**5/3 - 2*o**4/3 - o**3/3 + 2*o**2/3.
o**2*(o - 2)*(o - 1)*(o + 1)/3
Find q, given that -4*q**5 - 24*q**4 + 4*q**3 + 24*q**2 = 0.
-6, -1, 0, 1
Factor 2*l**5/5 - 2*l**4/5 - 66*l**3/5 - 126*l**2/5.
2*l**2*(l - 7)*(l + 3)**2/5
Suppose 4*x**4/3 - 7*x**3/6 - 3*x**2/2 + 7*x/6 + 1/6 = 0. Calculate x.
-1, -1/8, 1
Let -2*n**2/7 + 58*n/7 - 108/7 = 0. What is n?
2, 27
Factor -5*d**5 + 60*d**4 - 110*d**3 - 420*d**2 - 245*d.
-5*d*(d - 7)**2*(d + 1)**2
Factor -2*w**4/5 - 46*w**3 + 232*w**2/5.
-2*w**2*(w - 1)*(w + 116)/5
What is d in -3*d**2 - 15*d - 18 = 0?
-3, -2
Factor -3*k**2/5 + 78*k/5 + 168/5.
-3*(k - 28)*(k + 2)/5
Let -5*b**5 - 50*b**4 - 65*b**3 + 160*b**2 + 340*b + 160 = 0. What is b?
-8, -2, -1, 2
Factor -2*u**4/9 + 92*u**3/9.
-2*u**3*(u - 46)/9
Factor -2*d**2/3 - 28*d/3 - 26/3.
-2*(d + 1)*(d + 13)/3
Find u such that -3*u**3/5 - 83*u**2/5 - 52*u + 96/5 = 0.
-24, -4, 1/3
Factor 3*a**2/2 - 15*a + 63/2.
3*(a - 7)*(a - 3)/2
Factor -t**2/5 + 19*t.
-t*(t - 95)/5
Factor 3*u**3/7 + 15*u**2/7 - 3*u/7 - 15/7.
3*(u - 1)*(u + 1)*(u + 5)/7
Determine n so that 3*n**3/2 - 205*n**2/2 + 1768*n - 578 = 0.
1/3, 34
Factor -2*p**2/5 - 1212*p/5 - 183618/5.
-2*(p + 303)**2/5
Find a such that 3*a**4/5 - 9*a**3 - 36*a**2/5 + 588*a/5 - 144 = 0.
-4, 2, 15
What is y in 38*y**5/13 + 164*y**4/13 - 674*y**3/13 + 304*y**2/13 + 168*y/13 = 0?
-7, -6/19, 0, 1, 2
What is g in -2*g**2/21 + 440*g/21 - 142 = 0?
7, 213
Let -n**5 - 5*n**4 - 6*n**3 + 4*n**2 + 8*n = 0. What is n?
-2, 0, 1
Suppose 3*w**2/4 + 183*w/4 - 93/2 = 0. Calculate w.
-62, 1
Suppose 2*b**2/19 + 6*b/19 - 80/19 = 0. Calculate b.
-8, 5
Factor 2*g**2/3 - 4*g/3 - 2.
2*(g - 3)*(g + 1)/3
Suppose i**3/3 + 41*i**2/3 + 38*i/3 - 80/3 = 0. What is i?
-40, -2, 1
Factor x**5/5 - 32*x**4/5 + 406*x**3/5 - 2548*x**2/5 + 7889*x/5 - 9604/5.
(x - 7)**4*(x - 4)/5
Factor 2*r**3/11.
2*r**3/11
Suppose -2*x**2/3 + 10*x/3 + 4 = 0. What is x?
-1, 6
Suppose -i**4 - 21*i**3 - 88*i**2 - 132*i - 64 = 0. What is i?
-16, -2, -1
What is a in -2*a**4 + 68*a**3 - 192*a**2 + 188*a - 62 = 0?
1, 31
Find t, given that -t**5/4 + t**4/2 + 3*t**3/4 - t**2 - t = 0.
-1, 0, 2
Factor 2*a**4 - 190*a**3 - 2*a**2 + 190*a.
2*a*(a - 95)*(a - 1)*(a + 1)
Factor -v**3/2 - 18*v**2 - 216*v - 864.
-(v + 12)**3/2
Let -2*h**2/9 + 146*h/9 + 148/9 = 0. Calculate h.
-1, 74
Solve -49*p**5 - 4599*p**4/5 - 14916*p**3/5 - 3248*p**2 - 6048*p/5 - 144 = 0 for p.
-15, -2, -6/5, -2/7
Suppose -2*g**2/5 + 64*g/5 + 66/5 = 0. What is g?
-1, 33
Find f, given that -4*f**2 + 212*f = 0.
0, 53
Factor 3*i**4 - 60*i**3 + 426*i**2 - 1260*i + 1323.
3*(i - 7)**2*(i - 3)**2
What is t in -2*t**2/15 + 6/5 = 0?
-3, 3
Determine p, given that p**5 - 36*p**4 + 416*p**3 - 1280*p**2 - 6144*p + 32768 = 0.
-4, 8, 16
Factor -4*x**2 - 820*x - 4000.
-4*(x + 5)*(x + 200)
What is j in -2*j**5 - 28*j**4 - 140*j**3 - 304*j**2 - 290*j - 100 = 0?
-5, -2, -1
Factor 2*h**3/13 - 38*h**2/13 + 68*h/13.
2*h*(h - 17)*(h - 2)/13
Factor -2*b**4 - 14*b**3.
-2*b**3*(b + 7)
Factor 5*n**2 + 6480*n - 6485.
5*(n - 1)*(n + 1297)
Factor -2*z**3/9 + 2*z**2/3 + 32*z - 1664/9.
-2*(z - 8)**2*(z + 13)/9
Factor -4*k**2/3 - 60*k - 344/3.
-4*(k + 2)*(k + 43)/3
Find h such that 5*h**2 - 70*h = 0.
0, 14
Factor -f**4/3 - 17*f**3 + 52*f**2/3.
-f**2*(f - 1)*(f + 52)/3
Factor -3*h**2 + 1092*h - 99372.
-3*(h - 182)**2
Factor 2*j**2/3 + 1352*j/3 + 228488/3.
2*(j + 338)**2/3
Factor -g**4/6 - 5*g**3/6 - g**2.
-g**2*(g + 2)*(g + 3)/6
Factor 4*b**3 - 2416*b**2 - 2420*b.
4*b*(b - 605)*(b + 1)
Suppose -9*