 15.
-3*(c - 5)*(c - 4)*(c + 1)/4
Let 4*h**4 - 1744*h**3 + 5208*h**2 - 5200*h + 1732 = 0. Calculate h.
1, 433
Let -w**5/9 + 2*w**4/3 - 8*w**3/9 - 2*w**2/9 + w - 4/9 = 0. Calculate w.
-1, 1, 4
What is l in -l**4 + 20*l**3 - 93*l**2 + 130*l - 56 = 0?
1, 4, 14
What is n in 2*n**2/7 + 40*n/7 + 200/7 = 0?
-10
Find g such that -2*g**2/5 - 276*g/5 = 0.
-138, 0
Factor 2*v**5 + 100*v**4 + 1346*v**3 + 2400*v**2 + 1152*v.
2*v*(v + 1)**2*(v + 24)**2
What is p in p**3/3 + 4*p**2/3 + 5*p/3 + 2/3 = 0?
-2, -1
Let -6*m**4 - 57*m**3 - 120*m**2 + 75*m = 0. Calculate m.
-5, 0, 1/2
Suppose c**4 - 11*c**3 + 38*c**2 - 52*c + 24 = 0. What is c?
1, 2, 6
Let -2*m**2/5 + 32*m/5 - 96/5 = 0. Calculate m.
4, 12
Factor -2*a**3 + 98*a**2 + 100*a.
-2*a*(a - 50)*(a + 1)
Factor -4*v**3/3 + 8*v**2 - 4*v - 40/3.
-4*(v - 5)*(v - 2)*(v + 1)/3
Factor 5*l**3 + 240*l**2 + 1105*l + 1290.
5*(l + 2)*(l + 3)*(l + 43)
Let 3*n**3 + 444*n**2 - 1353*n + 906 = 0. Calculate n.
-151, 1, 2
Solve -3*u**4/4 - 9*u**3/2 + 303*u**2/4 + 171*u/2 - 156 = 0.
-13, -2, 1, 8
Factor w**5/4 - 67*w**3/4 - 63*w**2/2.
w**2*(w - 9)*(w + 2)*(w + 7)/4
Solve -2*a**5/11 - 8*a**4/11 + 20*a**2/11 + 2*a/11 - 12/11 = 0.
-3, -2, -1, 1
Factor 3468*l**5 + 6324*l**4 + 2271*l**3 - 558*l**2 + 27*l.
3*l*(l + 1)**2*(34*l - 3)**2
Factor -l**2/4 - 23*l/2 - 529/4.
-(l + 23)**2/4
Let -s**5/3 + 11*s**4/2 - 109*s**3/6 - 553*s**2/6 + 833*s/2 + 686/3 = 0. Calculate s.
-4, -1/2, 7
Factor -4*h**2 + 11200*h - 7840000.
-4*(h - 1400)**2
Determine c so that 4*c**2 - 60*c + 56 = 0.
1, 14
Factor 3*n**3/7 + 54*n**2/7 - 873*n/7 - 132.
3*(n - 11)*(n + 1)*(n + 28)/7
Factor 5*y**4 + 15*y**3 - 20*y.
5*y*(y - 1)*(y + 2)**2
Find y, given that 35*y**3 - 313*y**2 - 18*y = 0.
-2/35, 0, 9
Factor q**2/8 + q/8 - 1/4.
(q - 1)*(q + 2)/8
Find x such that -4*x**3 + 316*x**2/3 - 656*x - 1456/3 = 0.
-2/3, 13, 14
Solve 7*x**4/4 - 3*x**3/4 = 0.
0, 3/7
Determine m so that -2*m**2/7 - 500*m/7 - 31250/7 = 0.
-125
Factor -q**3/3 + 12*q**2 - 29*q/3 - 70.
-(q - 35)*(q - 3)*(q + 2)/3
Factor -3*j**3 - 147*j**2 - 1725*j + 1875.
-3*(j - 1)*(j + 25)**2
Factor y**2/2 - 125*y - 1275/2.
(y - 255)*(y + 5)/2
Factor -f**2/3 + 59*f/3 - 58/3.
-(f - 58)*(f - 1)/3
Determine b so that 8*b**5/9 - 58*b**4/3 + 700*b**3/9 + 1022*b**2/3 - 304*b - 96 = 0.
-3, -1/4, 1, 12
Factor 3*t**2/4 - 35*t/4 - 49/2.
(t - 14)*(3*t + 7)/4
Suppose l**4/5 - l**3 + 7*l**2/5 - 3*l/5 = 0. Calculate l.
0, 1, 3
Solve 5*a**5 - 1750*a**4 + 245000*a**3 - 17150000*a**2 + 600250000*a - 8403500000 = 0 for a.
70
Let -2*d**2 + 130*d + 1672 = 0. What is d?
-11, 76
Solve -2*g**3/5 - 58*g**2/5 + 1106*g/5 - 4214/5 = 0 for g.
-43, 7
Suppose -5*o**3 + 545*o**2 - 530*o - 1080 = 0. Calculate o.
-1, 2, 108
Factor 5*d**3 - 25*d**2 + 10*d + 40.
5*(d - 4)*(d - 2)*(d + 1)
Solve -t**4/4 + 21*t**3/2 - 120*t**2 + 1075*t/2 - 3375/4 = 0 for t.
5, 27
Factor -2*i**2/17 + 6*i/17 - 4/17.
-2*(i - 2)*(i - 1)/17
Factor -6*g**2 - 106*g - 68.
-2*(g + 17)*(3*g + 2)
Factor -207*j**4/7 - 384*j**3/7 - 21*j**2 + 30*j/7.
-3*j*(j + 1)**2*(69*j - 10)/7
Determine j so that -4*j**4 - 40*j**3 - 32*j**2 + 40*j + 36 = 0.
-9, -1, 1
Suppose w**5/2 + 25*w**4/2 - 61*w**3/2 - 193*w**2/2 - 54*w = 0. What is w?
-27, -1, 0, 4
Solve -35*m**4 + 5605*m**3 - 219095*m**2 - 428085*m + 65610 = 0.
-2, 1/7, 81
Factor -y**3 - y**2 + 30*y + 72.
-(y - 6)*(y + 3)*(y + 4)
Factor -5*b**2 + 2075*b + 4170.
-5*(b - 417)*(b + 2)
Suppose 3*o**5/7 + 246*o**4/7 - 768*o**3/7 - 246*o**2/7 + 765*o/7 = 0. Calculate o.
-85, -1, 0, 1, 3
Determine a, given that 3*a**3 + 36*a**2 + 63*a + 30 = 0.
-10, -1
Factor -4*d**3/7 - 632*d**2/7 + 8016*d/7 - 24480/7.
-4*(d - 6)**2*(d + 170)/7
Factor -3*m**2 + 312*m - 8112.
-3*(m - 52)**2
Suppose 9*z**4 + 12*z**3 - 111*z**2 - 42*z + 72 = 0. Calculate z.
-4, -1, 2/3, 3
Factor -x**3/5 + 53*x**2/5 + 69*x + 531/5.
-(x - 59)*(x + 3)**2/5
Factor n**4/2 + 7*n**3 - 16*n**2.
n**2*(n - 2)*(n + 16)/2
Factor -5*q**2 - 100*q - 500.
-5*(q + 10)**2
Determine s, given that -s**3 - 799*s**2 + s + 799 = 0.
-799, -1, 1
Suppose -l**4/5 + 11*l**3/5 + 178*l**2/5 + 128*l + 672/5 = 0. Calculate l.
-4, -2, 21
Factor -4*s**2 - 50368*s - 158558464.
-4*(s + 6296)**2
Factor -q**3/4 - q**2 + 65*q/4 - 33.
-(q - 4)*(q - 3)*(q + 11)/4
Solve s**2/6 + 35*s/3 + 325/6 = 0.
-65, -5
Factor f**3/2 - 61*f**2/2 + 294*f.
f*(f - 49)*(f - 12)/2
Let -f**5/4 + 3*f**3/4 + f**2/2 = 0. What is f?
-1, 0, 2
Factor -12*c**4/5 - 1436*c**3/5 - 8544*c**2 + 2880*c.
-4*c*(c + 60)**2*(3*c - 1)/5
Let 3*q**4 + 9*q**3 - 1590*q**2 - 16884*q - 15288 = 0. What is q?
-14, -1, 26
Factor -5*m**3 - 1140*m**2 - 64980*m.
-5*m*(m + 114)**2
Factor 4*k**3 - 36*k**2 + 60*k + 100.
4*(k - 5)**2*(k + 1)
Factor 4*r**4 - 16*r**3 - 204*r**2 + 1240*r - 1600.
4*(r - 5)**2*(r - 2)*(r + 8)
Factor 324*l**2 + 504*l + 196.
4*(9*l + 7)**2
Factor -2*p**4/5 - 48*p**3 - 7434*p**2/5 - 13924*p/5.
-2*p*(p + 2)*(p + 59)**2/5
Determine o, given that -2*o**4/5 + 18*o**3/5 - 42*o**2/5 + 38*o/5 - 12/5 = 0.
1, 6
Find w such that 3*w**3/5 + 1347*w**2/5 - 4062*w/5 + 2712/5 = 0.
-452, 1, 2
Factor 5*t**2/6 + 215*t/3 + 425/6.
5*(t + 1)*(t + 85)/6
Determine d, given that 4*d**2 + 4*d - 120 = 0.
-6, 5
Let -2*b**4/17 + 20*b**3/17 + 62*b**2/17 - 176*b/17 + 96/17 = 0. Calculate b.
-4, 1, 12
Factor -3*a**3/2 - 441*a**2/2 - 864*a - 858.
-3*(a + 2)**2*(a + 143)/2
Determine b so that 2*b**3 + 62*b**2 - 130*b + 66 = 0.
-33, 1
Find t such that 2*t**2/11 - 2020*t + 5610550 = 0.
5555
Factor -2*u**2 + 6492*u - 5268258.
-2*(u - 1623)**2
Let -2*c**3/5 - 138*c**2/5 - 54*c - 134/5 = 0. Calculate c.
-67, -1
Suppose 2*i**4/13 - 18*i**3/13 - 22*i**2/13 + 18*i/13 + 20/13 = 0. What is i?
-1, 1, 10
Suppose 8*p**4 - 1562*p**3 + 382*p**2 + 1562*p - 390 = 0. What is p?
-1, 1/4, 1, 195
Solve -3*p**5 - 243*p**4 + 2349*p**3 - 7209*p**2 + 7290*p = 0.
-90, 0, 3
Let -3*d**5 + 30*d**4 - 99*d**3 + 120*d**2 - 48*d = 0. Calculate d.
0, 1, 4
Factor 2*n**2 + 52*n - 54.
2*(n - 1)*(n + 27)
Factor 4*g**5 + 24*g**4 - 36*g**3 - 56*g**2.
4*g**2*(g - 2)*(g + 1)*(g + 7)
What is s in -82*s**4 - 160*s**3 - 74*s**2 + 4*s = 0?
-1, 0, 2/41
Let -2*t**5/3 - 943*t**4/6 - 27728*t**3/3 + 14867*t**2/6 + 27730*t/3 - 6962/3 = 0. Calculate t.
-118, -1, 1/4, 1
Determine t so that -3*t**3 + 3*t**2 + 48*t - 48 = 0.
-4, 1, 4
Let -22*b**4/7 + 46*b**3/7 = 0. What is b?
0, 23/11
Factor 5*n**3 - 45*n**2 - 80*n + 300.
5*(n - 10)*(n - 2)*(n + 3)
Factor -79202*r**2 - 19104*r - 1152.
-2*(199*r + 24)**2
Solve -c**3/2 + 11*c**2/2 + 121*c/2 - 1331/2 = 0.
-11, 11
Factor j**3/7 + 12*j**2/7 - 256/7.
(j - 4)*(j + 8)**2/7
Factor 2*t**5/5 + 8*t**4 - 88*t**3/5.
2*t**3*(t - 2)*(t + 22)/5
Factor -c**4/4 - c**3/4 + 4*c**2 + 4*c.
-c*(c - 4)*(c + 1)*(c + 4)/4
Let 2*j**3/9 - 736*j**2/9 - 2968*j/9 - 992/3 = 0. Calculate j.
-2, 372
Suppose 2*v**2/5 + 1176*v = 0. Calculate v.
-2940, 0
Suppose 55*l**4/2 - 285*l**3/2 + 190*l**2 - 30*l = 0. Calculate l.
0, 2/11, 2, 3
Let r**4/5 - 818*r**3/5 - 4107*r**2/5 - 1316*r - 3292/5 = 0. What is r?
-2, -1, 823
Find q, given that q**5/3 - 16*q**4/3 + 53*q**3/3 - 62*q**2/3 + 8*q = 0.
0, 1, 2, 12
Factor -2*d**3 + 2*d**2 + 24*d.
-2*d*(d - 4)*(d + 3)
Factor -2*a**2/3 - 12*a + 80/3.
-2*(a - 2)*(a + 20)/3
Let 2*u**3/9 + 22*u**2/9 + 16*u/9 - 40/9 = 0. Calculate u.
-10, -2, 1
Suppose 5*g**5 + 305*g**4 - 630*g**3 + 10*g**2 + 625*g - 315 = 0. Calculate g.
-63, -1, 1
Suppose -y**2 - 334*y = 0. Calculate y.
-334, 0
Solve -3*y**5 - 177*y**4 - 3534*y**3 - 24960*y**2 - 21600*y = 0.
-20, -18, -1, 0
Factor -a**2 + 8*a - 15.
-(a - 5)*(a - 3)
Solve 6*u**5/7 - 12*u**4/7 - 36*u**3/7 + 24*u**2/7 + 78*u/7 + 36/7 = 0.
-1, 2, 3
Factor s**2 - 58*s + 216.
(s - 54)*(s - 4)
Factor 4*y**4/5 - 12*y**3/5 - 28*y**2/5 + 12*y + 72/5.
4*(y - 3)**2*(y + 1)*(y + 2)/5
Solve -v**4/2 - 5*v**3/2 + v**2/2 + 5*v/2 = 0.
-5, -1, 0, 1
Factor j**3/4 + 135*j**2/4 + 267*j/4 + 133/4.
(j + 1)**2*(j + 133)/4
Find a such that -5*a**3/9 + 107*a**2/9 - 14*a/3 = 0.
0, 2/5, 21
Factor -2*i**2/3 - 568*i/3 - 40328/3.
-2*(i + 142)**2/3
Suppose -29*n**4 - 33*n**3/2 + 57*n**2 + 95*n/2 + 3 = 0. Calculate n.
-1, -2/29, 3/2
Factor -2*k**4 + 38*k**3 - 252*k**2 + 648*k - 432.
-2*(k - 6)**3*(k - 1)
Suppose -2*i**3 + 4*i**2 + 8*i - 16 = 0. Calculate i.
-2, 2
Factor -d**2/4 + 7*d/4 - 3/2.
-(d - 6)*(d - 1)/4
Determine u so that u**5/3 - 31*u**4/6 + 7*u**3 + u**2/6 - 7*u/3 = 0.
-1/2, 0, 1, 