*i**2/7 + 8192*i/7 + 4416/7 = 0. Calculate i.
-46, -3, -2
Factor 2*h**5/9 + 44*h**4/9 + 112*h**3/3 + 980*h**2/9 + 686*h/9.
2*h*(h + 1)*(h + 7)**3/9
Let -3*m**4 - 3*m**3 + 24*m**2 + 36*m = 0. Calculate m.
-2, 0, 3
Determine y so that 2*y**2/9 + 20*y/9 + 50/9 = 0.
-5
What is p in 4*p**3 + 1540*p**2 = 0?
-385, 0
Determine o, given that 2*o**3/3 + 78*o**2/5 = 0.
-117/5, 0
Find j such that 7*j**2 - 6*j - 1 = 0.
-1/7, 1
Let -2*i**4/3 + 110*i**3/3 - 396*i**2 - 3240*i + 3600 = 0. Calculate i.
-6, 1, 30
Factor 5*o**2 - 375*o + 370.
5*(o - 74)*(o - 1)
Factor -196*u**5 + 84*u**4 + 600*u**3 - 344*u**2 - 468*u + 324.
-4*(u - 1)**3*(7*u + 9)**2
Determine z, given that 3*z**2/5 + 111*z/5 - 924/5 = 0.
-44, 7
Suppose -3*t**4/2 - 69*t**3/2 - 459*t**2/2 - 939*t/2 - 273 = 0. What is t?
-13, -7, -2, -1
Factor -2*s**2/7 + 76*s/7 - 690/7.
-2*(s - 23)*(s - 15)/7
Factor 4*u**2/7 + 160*u.
4*u*(u + 280)/7
Factor -4*n**3 + 40*n**2 + 52*n - 88.
-4*(n - 11)*(n - 1)*(n + 2)
Solve -2*p**4 - 72*p**3 - 262*p**2 - 192*p = 0.
-32, -3, -1, 0
Determine j, given that 8*j**3/21 - 190*j**2/21 + 136*j/21 + 46/21 = 0.
-1/4, 1, 23
Factor -2*s**2 - 118*s + 244.
-2*(s - 2)*(s + 61)
Factor 4*k**3 + 52*k**2 + 92*k + 44.
4*(k + 1)**2*(k + 11)
Solve 4*h**5 + 252*h**4 + 4968*h**3 + 32184*h**2 + 84564*h + 78732 = 0.
-27, -3
Determine r so that -5*r**2 - 75*r + 630 = 0.
-21, 6
Find l such that -l**2/4 + 9*l/4 - 5 = 0.
4, 5
Determine k so that -2*k**3/5 + 44*k**2/5 - 114*k/5 = 0.
0, 3, 19
Factor -2*y**4/7 - 170*y**3/7 - 696*y**2 - 6944*y - 6272.
-2*(y + 1)*(y + 28)**3/7
Factor 5*h**2 + 510*h + 9360.
5*(h + 24)*(h + 78)
Factor 3*o**2 + 22*o - 16.
(o + 8)*(3*o - 2)
Let 2*y**4/9 - 14*y**3/3 - 16*y**2/3 + 88*y/9 = 0. What is y?
-2, 0, 1, 22
Let 4*l**4 + 60*l**3 + 56*l**2 = 0. Calculate l.
-14, -1, 0
Factor k**2 + 12*k + 32.
(k + 4)*(k + 8)
Find d such that 25*d**5 + 220*d**4 + 655*d**3 + 760*d**2 + 220*d - 80 = 0.
-4, -2, -1, 1/5
What is n in n**4/9 - 1532*n**3/9 + 588286*n**2/9 - 130220*n + 65025 = 0?
1, 765
Let -2*a**3/11 - 6*a**2 + 138*a/11 - 70/11 = 0. What is a?
-35, 1
Factor k**4/4 + 9*k**3/2 + 61*k**2/4 - 45*k + 25.
(k - 1)**2*(k + 10)**2/4
Find m, given that 4*m**2/19 + 26*m/19 + 22/19 = 0.
-11/2, -1
Let -2*o**2/3 - 12*o = 0. What is o?
-18, 0
Solve -b**3/6 - 37*b**2/3 + 25*b/2 = 0.
-75, 0, 1
Factor 20*g**2 + 1512*g - 608.
4*(g + 76)*(5*g - 2)
Factor s**3/2 + s**2/4 - 5*s/4 + 1/2.
(s - 1)*(s + 2)*(2*s - 1)/4
Factor -2*b**3/13 + 696*b**2/13 - 694*b/13.
-2*b*(b - 347)*(b - 1)/13
Determine k so that k**3/3 + 137*k**2/3 + 271*k/3 + 45 = 0.
-135, -1
Factor -3*l**2 + 1200*l + 3627.
-3*(l - 403)*(l + 3)
Factor 2*y**4/13 - 4*y**3/13 - 16*y**2/13.
2*y**2*(y - 4)*(y + 2)/13
Solve 4*p**3 + 148*p**2 + 1424*p + 1280 = 0.
-20, -16, -1
Solve 2*x**5/17 - 20*x**4/17 + 30*x**3/17 + 20*x**2/17 - 32*x/17 = 0 for x.
-1, 0, 1, 2, 8
Factor 2*k**4/3 - 16*k**3/3 + 10*k**2/3 + 28*k/3.
2*k*(k - 7)*(k - 2)*(k + 1)/3
Suppose -2*u**5 + 26*u**4/3 - 2*u**3/3 - 26*u**2/3 + 8*u/3 = 0. Calculate u.
-1, 0, 1/3, 1, 4
Let y**4/3 - 8*y**3 - 53*y**2/3 + 8*y + 52/3 = 0. What is y?
-2, -1, 1, 26
Factor l**3 + 9*l**2 + 15*l + 7.
(l + 1)**2*(l + 7)
Factor -m**5 - 898*m**4 - 269992*m**3 - 27532816*m**2 - 106920016*m - 105854368.
-(m + 2)**2*(m + 298)**3
Factor 2*f**3 + 38*f**2 + 36*f.
2*f*(f + 1)*(f + 18)
Solve 2*w**3/11 - 30*w**2/11 + 108*w/11 - 80/11 = 0 for w.
1, 4, 10
Factor m**4 + 111*m**3 + 218*m**2.
m**2*(m + 2)*(m + 109)
Solve 4*t**4 - 25*t**3 + 42*t**2 - 9*t = 0 for t.
0, 1/4, 3
What is x in -3*x**2/5 + 18*x/5 - 24/5 = 0?
2, 4
Factor 2*u**4 - 768*u**3 + 72176*u**2 + 297984*u + 301088.
2*(u - 194)**2*(u + 2)**2
Suppose -x**3 - 63*x**2 - 404*x - 672 = 0. Calculate x.
-56, -4, -3
Factor -31*s**4 - 594*s**3 - 3164*s**2 - 3006*s - 405.
-(s + 1)*(s + 9)**2*(31*s + 5)
Let -3*d**5 + 279*d**4 - 4758*d**3 + 14832*d**2 + 82080*d + 62208 = 0. Calculate d.
-2, -1, 12, 72
Suppose 4*r**4 - 88*r**3 + 268*r**2 + 360*r = 0. What is r?
-1, 0, 5, 18
Let 2*g**3 - 16*g**2 + 2*g + 84 = 0. What is g?
-2, 3, 7
Let t**3/2 + 23*t**2/2 + 95*t/2 - 119/2 = 0. What is t?
-17, -7, 1
Factor -5*s**2 + 1965*s + 3950.
-5*(s - 395)*(s + 2)
Factor -15*f**5 + 1310*f**4 - 38280*f**3 + 378450*f**2 - 121945*f.
-5*f*(f - 29)**3*(3*f - 1)
Suppose -2*m**3 - 332*m**2/3 - 434*m/3 - 36 = 0. What is m?
-54, -1, -1/3
Solve 2*b**4 + 194*b**3 + 2082*b**2 + 3590*b + 1700 = 0 for b.
-85, -10, -1
Find w such that -2*w**4 + 24*w**3/7 + 120*w**2/7 + 32*w/7 = 0.
-2, -2/7, 0, 4
Factor 5*d**5/3 - 85*d**4/3 + 155*d**3/3 - 25*d**2.
5*d**2*(d - 15)*(d - 1)**2/3
Let -5*v**4 + 15*v**3 + 15*v**2 - 35*v - 30 = 0. What is v?
-1, 2, 3
Suppose b**2/5 + 223*b/5 - 224/5 = 0. What is b?
-224, 1
Determine r, given that r**3 - 22*r**2 - 48*r = 0.
-2, 0, 24
Factor -2*a**3/5 + 36*a**2/5 + 38*a/5.
-2*a*(a - 19)*(a + 1)/5
Determine o so that -5*o**5 + 40*o**4 - 110*o**3 + 140*o**2 - 85*o + 20 = 0.
1, 4
Factor 2*v**3 - 7762*v**2 + 7527198*v + 7534962.
2*(v - 1941)**2*(v + 1)
Factor -28*r**3 + 652*r**2 + 1216*r - 400.
-4*(r - 25)*(r + 2)*(7*r - 2)
Let -2*v**2/17 + 2604*v/17 - 847602/17 = 0. What is v?
651
Suppose 2*z**2/5 + 844*z/5 + 89042/5 = 0. Calculate z.
-211
Factor y**4 + 10*y**3 + 16*y**2.
y**2*(y + 2)*(y + 8)
Factor 5*i**2 - 9*i + 4.
(i - 1)*(5*i - 4)
Factor -o**4/6 - 3*o**3 - 18*o**2 - 119*o/3 - 49/2.
-(o + 1)*(o + 3)*(o + 7)**2/6
Suppose 5*v**5 - 140*v**4 + 540*v**3 + 830*v**2 - 545*v - 690 = 0. What is v?
-1, 1, 6, 23
Factor c**2/3 + 110*c/3 - 37.
(c - 1)*(c + 111)/3
Factor -4*j**3 - 1552*j**2 - 150544*j.
-4*j*(j + 194)**2
Factor -146*k**3 - 1306*k**2 + 72*k.
-2*k*(k + 9)*(73*k - 4)
Factor 3*b**2 + 48*b + 84.
3*(b + 2)*(b + 14)
Factor -c**2 + 22*c - 40.
-(c - 20)*(c - 2)
Suppose 9*x**5 + 1218*x**4 + 399*x**3 - 810*x**2 = 0. Calculate x.
-135, -1, 0, 2/3
Determine w, given that -3*w**5/5 - 456*w**4/5 - 17316*w**3/5 + 1824*w**2/5 + 69312*w/5 = 0.
-76, -2, 0, 2
Factor 4*j**2 + 565*j + 141.
(j + 141)*(4*j + 1)
Factor -2*n**2/9 + 580*n/9 - 42050/9.
-2*(n - 145)**2/9
Factor -3*l**3/8 - 39*l**2/2 - 210*l + 1176.
-3*(l - 4)*(l + 28)**2/8
Find m, given that -36*m**5 + 35*m**4 + m**3 = 0.
-1/36, 0, 1
Factor -2*r**5/9 - 1126*r**4/9 - 212060*r**3/9 - 13499156*r**2/9 - 26366626*r/9 - 13078406/9.
-2*(r + 1)**2*(r + 187)**3/9
Suppose y**2/6 + 626*y/3 + 195938/3 = 0. Calculate y.
-626
Find l such that 4*l**2/5 - 15904*l/5 + 15808576/5 = 0.
1988
Solve 4*n**3/5 - 396*n**2/5 - 808*n/5 = 0 for n.
-2, 0, 101
Determine b so that -9*b**3 - 394*b**2 + 88*b = 0.
-44, 0, 2/9
Factor h**4 - 2*h**3 - 4*h**2 + 8*h.
h*(h - 2)**2*(h + 2)
Find z such that 2*z**3/15 + 166*z**2/3 - 844*z/15 - 1664/5 = 0.
-416, -2, 3
Suppose b**2/4 + 30*b + 900 = 0. What is b?
-60
Determine o, given that 5*o**5 + 60*o**4 + 115*o**3 - 180*o**2 = 0.
-9, -4, 0, 1
Suppose 2*x**3/11 + 4*x**2 - 2*x/11 - 4 = 0. What is x?
-22, -1, 1
Factor -3*n**4 + 93*n**3 - 903*n**2 + 2403*n + 3402.
-3*(n - 14)*(n - 9)**2*(n + 1)
Factor -3*m**2/4 - 39*m/4 - 9.
-3*(m + 1)*(m + 12)/4
Factor y**3/8 + 2*y**2 - 41*y/8 - 105.
(y - 7)*(y + 8)*(y + 15)/8
Factor 2*g**5/5 + 16*g**4/5 - 62*g**3 + 180*g**2.
2*g**2*(g - 5)**2*(g + 18)/5
Factor -d**2/3 + 41*d/3.
-d*(d - 41)/3
Factor 5*z**2/4 - 345*z/2 - 5075/4.
5*(z - 145)*(z + 7)/4
Determine s, given that 50*s**2 - 105*s - 410 = 0.
-2, 41/10
Suppose 3*n**3 + 537*n**2 + 24297*n + 23763 = 0. Calculate n.
-89, -1
Factor 4*g**5 - 144*g**4 - 148*g**3.
4*g**3*(g - 37)*(g + 1)
Factor -3*t**3/4 - 3*t**2/2 + 9*t/4.
-3*t*(t - 1)*(t + 3)/4
Let 6*p**2/7 - 30*p/7 = 0. Calculate p.
0, 5
Factor -5120*a**2 - 320*a - 5.
-5*(32*a + 1)**2
Factor t**3/6 + 7*t**2/3 - 17*t/6 - 5.
(t - 2)*(t + 1)*(t + 15)/6
Let 12*b**4 - 75*b**3 + 54*b**2 + 111*b - 30 = 0. What is b?
-1, 1/4, 2, 5
Factor 8*f**4 + 28*f**3 - 32*f**2 - 112*f.
4*f*(f - 2)*(f + 2)*(2*f + 7)
Factor m**2/2 + 2469*m.
m*(m + 4938)/2
Find l, given that -55*l**2/4 + 29*l/2 - 3/4 = 0.
3/55, 1
Factor 5*y**2 - 380*y - 12000.
5*(y - 100)*(y + 24)
Let -b**3 + 1131*b**2 - 426387*b + 53582633 = 0. Calculate b.
377
Factor -3*m**3/5 - 132*m**2/5 - 1452*m/5.
-3*m*(m + 22)**2/5
Factor 4*c**3/7 + 64*c**2/7 + 208*c/7 + 192/7.
4*(c + 2)**2*(c + 12)/7
What is p in 3*p**4/8 - 15*p**3/4 + 27*p**2/8 + 39*p/2 + 12 = 0?
-1, 4, 8
Factor -2*q**2/5 + 214*q/5 + 4788/5.
-2*(q - 126)*(q + 19)/5
Determine a so that -3*a*