*4/2 + 21*m**3/2 - 42*m**2 + 30*m = 0.
-10, 0, 1, 2
Factor 4*v**3 + 2740*v**2 + 470592*v + 467856.
4*(v + 1)*(v + 342)**2
Suppose l**2 - 34*l - 111 = 0. What is l?
-3, 37
What is i in -10*i**5/3 + 2*i**4/3 + 10*i**3 - 26*i**2/3 + 4*i/3 = 0?
-2, 0, 1/5, 1
Factor -2*x**4/5 + 2*x**3 - 8*x**2/5.
-2*x**2*(x - 4)*(x - 1)/5
Find a such that -4*a**5 - 40*a**4 + 12*a**3 + 560*a**2 - 784*a = 0.
-7, 0, 2
Find i, given that -i**3/5 + 11*i**2/5 = 0.
0, 11
Factor 10*l**4/7 + 2244*l**3/7 + 128*l**2.
2*l**2*(l + 224)*(5*l + 2)/7
Solve 2*f**4/7 - 20*f**3/7 - 24*f**2/7 + 208*f/7 + 320/7 = 0 for f.
-2, 4, 10
Factor 1682*d**4/13 + 9976*d**3/13 + 14444*d**2/13 - 1032*d/13 + 18/13.
2*(d + 3)**2*(29*d - 1)**2/13
Factor 4*b**3/5 + 3448*b**2/5 + 743044*b/5.
4*b*(b + 431)**2/5
Find o, given that -5*o**3 - 330*o**2 - 645*o - 320 = 0.
-64, -1
Factor 4*x**4 - 80*x**3 + 76*x**2.
4*x**2*(x - 19)*(x - 1)
Factor -z**4/5 - 2*z**3/5 + 68*z**2/5 - 6*z - 135.
-(z - 5)**2*(z + 3)*(z + 9)/5
Find r such that 2*r**3/3 - 4*r**2 - 18*r = 0.
-3, 0, 9
Determine r, given that -3*r**4 - 54*r**3 - 243*r**2 - 336*r - 144 = 0.
-12, -4, -1
Find j, given that 5*j**4 - 730*j**3 - 740*j**2 + 730*j + 735 = 0.
-1, 1, 147
Factor -m**5 + m**4 + m**3 - m**2.
-m**2*(m - 1)**2*(m + 1)
Suppose 5*b**3 + 15*b**2 - 45*b - 135 = 0. What is b?
-3, 3
Factor 3*s**2/4 - 18*s + 108.
3*(s - 12)**2/4
Factor k**2 + 101*k - 206.
(k - 2)*(k + 103)
Let -2*j**2/7 + 2108*j/7 - 555458/7 = 0. Calculate j.
527
Factor -y**4 - y**3 + 62*y**2 + 228*y + 216.
-(y - 9)*(y + 2)**2*(y + 6)
What is v in 88*v**2/17 + 610*v/17 - 42/17 = 0?
-7, 3/44
Let -3*u**2/5 + 21*u/5 - 6 = 0. What is u?
2, 5
Factor 2*l**4/11 + 8*l**3/11 + 6*l**2/11.
2*l**2*(l + 1)*(l + 3)/11
Suppose t**3/2 - 22*t**2 + 629*t/2 - 1445 = 0. Calculate t.
10, 17
Factor -2*h**5 - 20*h**4 + 500*h**2 + 1250*h.
-2*h*(h - 5)*(h + 5)**3
Find r such that -5*r**3 - 35*r**2 - 50*r = 0.
-5, -2, 0
Factor -3*f**2/2 - 213*f/2 - 915.
-3*(f + 10)*(f + 61)/2
Let 4*m**4 - 184*m**3 + 1180*m**2 + 1368*m = 0. Calculate m.
-1, 0, 9, 38
Factor -4*x**3 + 208*x**2 + 432*x.
-4*x*(x - 54)*(x + 2)
Solve 2*f**5 + f**4 - 19*f**3 - 9*f**2 + 9*f = 0.
-3, -1, 0, 1/2, 3
Factor 5*z**2 + 90*z - 95.
5*(z - 1)*(z + 19)
Solve -27*j**5 - 60*j**4 - 12*j**3 + 54*j**2 + 39*j + 6 = 0.
-1, -2/9, 1
Suppose 5*p**3 - 4*p**2 - p = 0. Calculate p.
-1/5, 0, 1
Factor -3*l**2 - 17472*l - 25439232.
-3*(l + 2912)**2
Let -x**5/3 - 4*x**4 + 14*x**3/3 + 4*x**2 - 13*x/3 = 0. What is x?
-13, -1, 0, 1
Determine r so that -r**5 - 8*r**4 + 10*r**3 + 8*r**2 - 9*r = 0.
-9, -1, 0, 1
Solve -5*o**2 - 240*o + 245 = 0 for o.
-49, 1
Factor 18*m**3 + 651*m**2/4 + 1467*m/4 + 15.
3*(m + 4)*(m + 5)*(24*m + 1)/4
Factor 4*y**2/3 - 580*y/3.
4*y*(y - 145)/3
Find i, given that -2*i**4/13 - 86*i**3/13 - 1160*i**2/13 - 4512*i/13 + 5760/13 = 0.
-20, -12, 1
Let h**2/4 + 633*h/4 - 635/2 = 0. Calculate h.
-635, 2
Factor -5*u**2 - 16800*u - 14112000.
-5*(u + 1680)**2
Factor -v**3 - 1699*v**2 + 3401*v - 1701.
-(v - 1)**2*(v + 1701)
Let p**4/12 + 41*p**3/12 + 19*p**2/2 - p/3 - 38/3 = 0. Calculate p.
-38, -2, 1
Factor 2*r**4 - 188*r**3 + 4602*r**2 - 8648*r + 4232.
2*(r - 46)**2*(r - 1)**2
Solve 5*p**2 + 120*p = 0 for p.
-24, 0
Factor -2*y**4/7 + 8*y**3/7.
-2*y**3*(y - 4)/7
What is r in -2*r**2 + 32*r = 0?
0, 16
Factor -9*q**3/10 + 159*q**2/10 - 155*q/2 + 125/2.
-(q - 1)*(3*q - 25)**2/10
What is r in -5*r**4 - 27*r**3 - 50*r**2 - 36*r - 8 = 0?
-2, -1, -2/5
Factor 3*j**3 + 1152*j**2 + 109431*j - 223494.
3*(j - 2)*(j + 193)**2
Factor -s**3/6 - s**2/3 + 5*s/2.
-s*(s - 3)*(s + 5)/6
Suppose m**4/3 - 6*m**3 - 28*m**2 - 88*m/3 = 0. Calculate m.
-2, 0, 22
Suppose a**4/4 + 9*a**3 - 45*a**2/2 - 2375*a - 9375/4 = 0. Calculate a.
-25, -1, 15
Suppose x**4 - 54*x**3 - 169*x**2 - 114*x = 0. What is x?
-2, -1, 0, 57
Suppose -i**3 - i**2 + 26*i - 24 = 0. What is i?
-6, 1, 4
Suppose 2*h**2/15 - 56*h/15 - 1408/15 = 0. Calculate h.
-16, 44
Let -h**4/2 + 2*h**3 - 3*h**2/2 - 2*h + 2 = 0. Calculate h.
-1, 1, 2
Solve -4*o**5 - 22*o**4 - 32*o**3 - 2*o**2 + 12*o = 0.
-3, -2, -1, 0, 1/2
Suppose 39*y**2/5 + 363*y/5 - 288 = 0. What is y?
-160/13, 3
Determine a, given that -2*a**4 - 6*a**3 + 38*a**2 + 6*a - 36 = 0.
-6, -1, 1, 3
Factor -5*u**2 - 150*u + 9455.
-5*(u - 31)*(u + 61)
Factor w**3 - 2*w**2 - 4*w + 8.
(w - 2)**2*(w + 2)
Find t, given that 2*t**2 - 14*t = 0.
0, 7
Factor -2*v**4/9 + 92*v**3/9 - 136*v**2 + 1156*v/9 + 49130/9.
-2*(v - 17)**3*(v + 5)/9
Factor -3*x**4/2 + 6*x**3 + 135*x**2 + 486*x + 1053/2.
-3*(x - 13)*(x + 3)**3/2
Determine m, given that 28*m**5 + 132*m**4 + 100*m**3 - 180*m**2 - 128*m + 48 = 0.
-3, -2, -1, 2/7, 1
Factor -2*z**3/7 + 52*z**2/7 + 16*z.
-2*z*(z - 28)*(z + 2)/7
Factor 2*b**3/3 + 36*b**2 + 1066*b/3.
2*b*(b + 13)*(b + 41)/3
Factor -3*v**4/7 - 219*v**3/7 - 5175*v**2/7 - 35625*v/7 + 93750/7.
-3*(v - 2)*(v + 25)**3/7
Solve -5*f**3 + 1350*f**2 + 2715*f + 1360 = 0.
-1, 272
Factor 2*m**2/3 + 20*m/3 + 16.
2*(m + 4)*(m + 6)/3
Factor m**2/5 - 27*m/5 + 26/5.
(m - 26)*(m - 1)/5
Factor -o**3/3 + 7*o/3 - 2.
-(o - 2)*(o - 1)*(o + 3)/3
Factor -5*t**2 + 235*t + 1020.
-5*(t - 51)*(t + 4)
Determine c, given that 2*c**3/3 + 6650*c**2/3 + 5524486*c/3 - 5531138/3 = 0.
-1663, 1
Factor y**2/3 - 56*y/3.
y*(y - 56)/3
Let -h**4 - 129*h**3 - 4093*h**2 + 4485*h + 8450 = 0. What is h?
-65, -1, 2
Factor n**5/3 - 4*n**4 + 16*n**3 - 82*n**2/3 + 21*n - 6.
(n - 6)*(n - 3)*(n - 1)**3/3
Factor 22*p**3/13 - 326*p**2/13 - 60*p/13.
2*p*(p - 15)*(11*p + 2)/13
Suppose 2*o**2 + 48*o + 46 = 0. What is o?
-23, -1
Suppose -8*c**5 + 12*c**4 + 296*c**3 + 128*c**2 - 288*c - 140 = 0. Calculate c.
-5, -1, -1/2, 1, 7
Solve 90*b**4/7 - 358*b**3/7 + 534*b**2/7 - 354*b/7 + 88/7 = 0.
44/45, 1
Find p, given that -2*p**4/13 + 12*p**3/13 + 8*p**2/13 - 48*p/13 = 0.
-2, 0, 2, 6
Factor 5*y**3 - 6465*y**2 + 2093040*y - 2086580.
5*(y - 646)**2*(y - 1)
Factor -484*i**3 + 136664*i**2 - 49648*i + 4512.
-4*(i - 282)*(11*i - 2)**2
Solve -m**2/3 - 23*m/3 + 36 = 0.
-27, 4
Factor -x**3/3 - 73*x**2/3 - 143*x/3 - 71/3.
-(x + 1)**2*(x + 71)/3
Solve -2*v**4 - 12*v**3 - 22*v**2 - 12*v = 0 for v.
-3, -2, -1, 0
Factor 2*r**2/7 + 32*r/7 + 96/7.
2*(r + 4)*(r + 12)/7
Suppose -k**2/2 + 407*k/2 = 0. What is k?
0, 407
What is d in -10*d**4/3 - 2116*d**3/3 + 1706*d**2 - 3848*d/3 + 856/3 = 0?
-214, 2/5, 1
Factor 2*k**3 + 4*k**2 - 30*k - 72.
2*(k - 4)*(k + 3)**2
Solve -v**2/3 + 11*v/3 - 8 = 0.
3, 8
Factor 5*s**3 + 35*s**2 - 85*s + 45.
5*(s - 1)**2*(s + 9)
Let 2*l**2 - 5136*l + 5134 = 0. Calculate l.
1, 2567
Factor -3*o**3 - 30*o**2 + 300*o + 3000.
-3*(o - 10)*(o + 10)**2
Factor 796*t**2 + 2340*t - 144.
4*(t + 3)*(199*t - 12)
Factor 3*l**3 - 45*l**2 + 108*l.
3*l*(l - 12)*(l - 3)
Find k, given that -5*k**5/4 + 5*k**4 + 105*k**3/2 - 405*k**2 + 3915*k/4 - 810 = 0.
-8, 3
Let -4*f**5 - 114*f**4 - 156*f**3 + 166*f**2 + 108*f = 0. What is f?
-27, -2, -1/2, 0, 1
Solve -3*w**2/4 + 27*w/4 = 0 for w.
0, 9
Solve -100*l**4/7 - 80*l**3/7 - 16*l**2/7 = 0 for l.
-2/5, 0
Factor 5*b**3 - 1680*b**2.
5*b**2*(b - 336)
Factor 14*c**5/19 + 60*c**4/19 + 100*c**3/19 + 80*c**2/19 + 30*c/19 + 4/19.
2*(c + 1)**4*(7*c + 2)/19
Suppose h**2 - 31*h - 66 = 0. What is h?
-2, 33
What is y in y**2 - 288*y + 1692 = 0?
6, 282
Factor -3*l**5 + 18*l**4 - 27*l**3 + 12*l**2.
-3*l**2*(l - 4)*(l - 1)**2
Factor -5*m**4 - 10*m**3 + 20*m**2 + 40*m.
-5*m*(m - 2)*(m + 2)**2
Suppose -4*r**5 + 8*r**4 + 44*r**3 - 32*r**2 - 80*r + 64 = 0. What is r?
-2, 1, 4
Factor 5*s**4 - 45*s**3 + 105*s**2 - 95*s + 30.
5*(s - 6)*(s - 1)**3
Solve n**4 - 5*n**3 - 205*n**2 + 5*n + 204 = 0 for n.
-12, -1, 1, 17
What is b in -3*b**2/4 - 3*b/2 = 0?
-2, 0
Suppose b**3/2 + 53*b**2/2 - 27*b = 0. Calculate b.
-54, 0, 1
Factor c**4 + 7*c**3 - 8*c**2.
c**2*(c - 1)*(c + 8)
Factor 4*n**2/11 + 1014*n/11 - 508/11.
2*(n + 254)*(2*n - 1)/11
Factor -4*d**4/9 - 20*d**3/9 + 4*d**2/9 + 20*d/9.
-4*d*(d - 1)*(d + 1)*(d + 5)/9
Factor -4*u**3 - 80*u**2 + 588*u - 936.
-4*(u - 3)**2*(u + 26)
Factor -f**4/10 + 2*f**3/5 + 7*f**2/2 - 15*f.
-f*(f - 5)**2*(f + 6)/10
What is s in s**3/5 + 62*s**2/5 = 0?
-62, 0
Factor -4*c**2 - 68*c - 280.
-4*(c + 7)*(c + 10)
Find n, given that -2*n**5/3 + 32*n**4/3 - 166*n**3/3 + 256*n**2/3 + 56*n - 96 = 0.
-1, 1, 4, 6
Find z such that 12*z**3 - 27*z**2 - 27*z = 0.
-3/4, 0, 3
Factor 3*c**5 + 6039*c**4 