Factor -2*v**3/7 + 228*v**2/7 + 66*v + 232/7.
-2*(v - 116)*(v + 1)**2/7
Let -2*s**2/3 - 622*s/3 + 840 = 0. What is s?
-315, 4
Determine c so that 2*c**4/5 - 42*c**3/5 + 258*c**2/5 - 398*c/5 + 36 = 0.
1, 9, 10
Find s such that -2*s**2/13 + 270*s/13 + 272/13 = 0.
-1, 136
Determine g, given that -8*g**4 + 276*g**3 + 724*g**2 + 588*g + 148 = 0.
-1, -1/2, 37
Solve -4*r**3 + 2112*r**2 - 371712*r + 21807104 = 0.
176
Factor -4*v**4 - 232*v**3 - 3360*v**2 + 232*v + 3364.
-4*(v - 1)*(v + 1)*(v + 29)**2
Factor -2*v**5 - 28*v**4 - 120*v**3 - 208*v**2 - 128*v.
-2*v*(v + 2)**3*(v + 8)
Factor 2*t**4/3 - 28*t**3/3 - 190*t**2/3.
2*t**2*(t - 19)*(t + 5)/3
Let 3*s**4/4 + 15*s**3 - 1257*s**2/4 + 2799*s/2 - 1836 = 0. What is s?
-34, 3, 8
Determine t so that 2*t**4/7 - 50*t**3/7 + 226*t**2/7 + 50*t/7 - 228/7 = 0.
-1, 1, 6, 19
Let -147*z**5/4 + 84*z**4 - 87*z**3/4 + 3*z**2/2 = 0. Calculate z.
0, 1/7, 2
Factor 5*l**4/4 + 7*l**3 - 47*l**2/4 + 7*l/2.
l*(l - 1)*(l + 7)*(5*l - 2)/4
Factor -p**4/4 - 3*p**3/4 + 45*p**2/4 - 77*p/4 + 9.
-(p - 4)*(p - 1)**2*(p + 9)/4
Solve f**5/6 - 27*f**4 + 1610*f**3 - 124844*f**2/3 + 389344*f = 0.
0, 24, 46
Suppose 2*b**5/17 + 152*b**4/17 + 716*b**3/17 + 24*b**2 - 1278*b/17 = 0. What is b?
-71, -3, 0, 1
Let 2*g**5 - 12*g**4 + 24*g**3 - 16*g**2 = 0. Calculate g.
0, 2
Let 3*g**3 + 15*g**2 - 66*g + 48 = 0. What is g?
-8, 1, 2
Determine h so that 2*h**3 - 230*h**2 + 452*h = 0.
0, 2, 113
Solve 15*j**3 + 21*j**2 + 6*j = 0 for j.
-1, -2/5, 0
Factor -5*t**2 - 130*t + 3075.
-5*(t - 15)*(t + 41)
Determine s so that -27*s**4 - 9*s**3 + 78*s**2 + 84*s + 24 = 0.
-1, -2/3, 2
Factor -c**2 + 652*c - 106276.
-(c - 326)**2
Factor 2*b**2 + 134*b.
2*b*(b + 67)
Factor -k**4 - 5*k**3 - 3*k**2 + 5*k + 4.
-(k - 1)*(k + 1)**2*(k + 4)
Factor 4*z**2/7 - 108*z/7 - 232/7.
4*(z - 29)*(z + 2)/7
Factor 3*i**2/2 + 18*i.
3*i*(i + 12)/2
Factor 5*d**3 - 150*d**2 - 2795*d.
5*d*(d - 43)*(d + 13)
Suppose -2*u**4 - 6*u**3 + 34*u**2 + 78*u + 40 = 0. Calculate u.
-5, -1, 4
Factor -q**4/3 + 61*q**3/3 - 420*q**2 + 9200*q/3 - 8000/3.
-(q - 20)**3*(q - 1)/3
Factor n**3/9 + 326*n**2/3 + 80032*n/3 + 476288/9.
(n + 2)*(n + 488)**2/9
Factor -8*g**5 - 132*g**4 - 576*g**3 - 256*g**2.
-4*g**2*(g + 8)**2*(2*g + 1)
Solve -l**5/10 + l**4/5 + 9*l**3/10 - l**2/5 - 4*l/5 = 0.
-2, -1, 0, 1, 4
Solve w**4 + 3*w**3 - 18*w**2 + 4*w + 24 = 0.
-6, -1, 2
Factor j**4/4 + 3*j**3/4 - 27*j**2/2.
j**2*(j - 6)*(j + 9)/4
Solve 15*n**2 - 95*n + 30 = 0.
1/3, 6
Find x such that -3*x**3/5 - 132*x**2/5 = 0.
-44, 0
Factor -i**2/7 + 2*i/7 + 8/7.
-(i - 4)*(i + 2)/7
Factor a**2/4 - 475*a/2 + 225625/4.
(a - 475)**2/4
Factor 2*g**2/9 + 56*g/9 + 392/9.
2*(g + 14)**2/9
Let -3*x**5 - 633*x**4 - 34329*x**3 - 99219*x**2 - 97968*x - 32448 = 0. What is x?
-104, -1
Solve q**4/2 - 19*q**3/2 + 125*q**2/2 - 329*q/2 + 147 = 0 for q.
2, 3, 7
Find x, given that -36*x**4 + 15*x**3 + 18*x**2 + 3*x = 0.
-1/3, -1/4, 0, 1
Find c such that c**3/2 + 7*c**2/2 + 7*c/2 - 15/2 = 0.
-5, -3, 1
Solve -4*j**3 + 20*j**2/3 + 44*j/3 + 4 = 0.
-1, -1/3, 3
Factor -4*g**3 + 4*g**2 + 56*g - 96.
-4*(g - 3)*(g - 2)*(g + 4)
Factor 3*c**2 + 1362*c - 1365.
3*(c - 1)*(c + 455)
Let 3*j**3 - 6*j**2 - 399*j - 390 = 0. Calculate j.
-10, -1, 13
Find d, given that -2*d**4/7 + 12*d**3/7 + 22*d**2/7 - 48*d/7 - 8 = 0.
-2, -1, 2, 7
Let n**5/9 + n**4/3 - n**3/3 - 11*n**2/9 - 2*n/3 = 0. Calculate n.
-3, -1, 0, 2
Let -i**2/4 - 85*i/2 - 7225/4 = 0. What is i?
-85
Factor 2*d**3 - 30*d**2 - 32*d.
2*d*(d - 16)*(d + 1)
Factor -4*y**2/7 + 60*y/7 - 32.
-4*(y - 8)*(y - 7)/7
Factor -4*m**3/7 + 24*m**2/7 - 20*m/7 - 48/7.
-4*(m - 4)*(m - 3)*(m + 1)/7
Factor -28*z**4 + 24*z**3 - 36*z**2/7.
-4*z**2*(7*z - 3)**2/7
Factor 2*f**2/3 - 32/3.
2*(f - 4)*(f + 4)/3
Suppose -3*u**4/2 - 33*u**3 - 123*u**2/2 - 30*u = 0. Calculate u.
-20, -1, 0
Find c, given that 3*c**3/7 + 444*c**2/7 + 15504*c/7 - 69312/7 = 0.
-76, 4
Factor -4*c**5 - 228*c**4 - 4140*c**3 - 23276*c**2.
-4*c**2*(c + 11)*(c + 23)**2
Factor p**3/5 + 3*p**2 - p/5 - 3.
(p - 1)*(p + 1)*(p + 15)/5
Factor -2*v**2/5 + 2*v/5 + 12/5.
-2*(v - 3)*(v + 2)/5
Factor 2*u**4/5 + 32*u**3 + 314*u**2/5 + 156*u/5.
2*u*(u + 1)**2*(u + 78)/5
Suppose 5*t**5/3 + 21*t**4 + 58*t**3 + 100*t**2/3 - 24*t = 0. What is t?
-9, -2, 0, 2/5
Find c such that 2*c**4 - 234*c**3 - 714*c**2 - 718*c - 240 = 0.
-1, 120
Factor -3*q**4/7 - 45*q**3/7 - 9*q**2 + 231*q + 882.
-3*(q - 6)*(q + 7)**3/7
Solve 5*z**5 + 40*z**4 + 45*z**3 - 190*z**2 - 200*z = 0 for z.
-5, -4, -1, 0, 2
Factor -i**2/2 + 145*i/2 - 213.
-(i - 142)*(i - 3)/2
What is h in -2*h**4/13 - 1512*h**3/13 - 381024*h**2/13 - 32006016*h/13 = 0?
-252, 0
Factor 20*c**3/7 + 248*c**2/7 + 796*c/7 + 40.
4*(c + 5)*(c + 7)*(5*c + 2)/7
Find n such that -9*n**5 + 24*n**4 + 69*n**3 - 72*n**2 - 60*n + 48 = 0.
-2, -1, 2/3, 1, 4
Let 2*m**5/11 - 26*m**3/11 - 24*m**2/11 = 0. What is m?
-3, -1, 0, 4
Solve 2*u**4/7 + 6*u**3/7 - 26*u**2/7 - 30*u/7 = 0.
-5, -1, 0, 3
Determine c, given that -3*c**4/2 + 549*c**3/2 - 24279*c**2/2 - 76725*c/2 - 25947 = 0.
-2, -1, 93
Factor -5*c**3 - 7040*c**2 - 2456825*c + 14995470.
-5*(c - 6)*(c + 707)**2
Suppose 36*f**5/5 - 3*f**4/5 - 51*f**3 - 39*f**2 + 39*f/5 + 18/5 = 0. What is f?
-2, -1, -1/4, 1/3, 3
Factor 4*n**4/7 + 60*n**3/7 + 248*n**2/7 + 288*n/7.
4*n*(n + 2)*(n + 4)*(n + 9)/7
Factor 5*p**4 + 10*p**3 - 20*p**2 - 10*p + 15.
5*(p - 1)**2*(p + 1)*(p + 3)
Solve 4*f**4/5 - 36*f**3/5 - 28*f**2/5 + 276*f/5 - 216/5 = 0 for f.
-3, 1, 2, 9
Factor 4*j**4 + 48*j**3 + 172*j**2 + 240*j + 112.
4*(j + 1)*(j + 2)**2*(j + 7)
Factor -2*m**2/5 - 512*m/5 + 514/5.
-2*(m - 1)*(m + 257)/5
Factor -z**4/2 - 9*z**3 + 12*z**2 + 49*z + 57/2.
-(z - 3)*(z + 1)**2*(z + 19)/2
Factor 5*i**4 + 195*i**3 + 2400*i**2 + 8960*i.
5*i*(i + 7)*(i + 16)**2
Factor 2*c**4/21 + 20*c**3/7 + 8*c**2 + 164*c/21 + 18/7.
2*(c + 1)**3*(c + 27)/21
Factor -4*y**3/7 - 96*y**2/7 + 240*y/7 + 832/7.
-4*(y - 4)*(y + 2)*(y + 26)/7
Let 16*w**3/7 - 10*w**2/7 = 0. What is w?
0, 5/8
Find s such that -2*s**5 - 282*s**4 - 12534*s**3 - 187166*s**2 - 1140720*s - 2469600 = 0.
-60, -7
Solve 5*v**3/3 - 700*v**2/3 - 2165*v/3 + 2860/3 = 0.
-4, 1, 143
Suppose -b**2 - 18*b - 72 = 0. What is b?
-12, -6
Factor -2*h**4/17 + 2*h**3 + 36*h**2/17.
-2*h**2*(h - 18)*(h + 1)/17
Let -m**2 - 7922*m - 15689521 = 0. Calculate m.
-3961
Suppose 2*o**4 + 12*o**3 - 56*o**2 - 12*o + 54 = 0. Calculate o.
-9, -1, 1, 3
Find t, given that t**2 + 31*t + 84 = 0.
-28, -3
Factor -2*q**3/9 + 44*q**2/9.
-2*q**2*(q - 22)/9
Suppose -3*i**4/5 + 58*i**3/5 - 71*i**2/5 - 4*i + 36/5 = 0. What is i?
-2/3, 1, 18
Factor -v**2 - 172*v + 525.
-(v - 3)*(v + 175)
Determine w so that -w**2 - 41*w - 40 = 0.
-40, -1
Let -5*t**3 - 250*t**2 - 2125*t - 5000 = 0. Calculate t.
-40, -5
Factor -2*x**2/9 - 70*x/9 + 76/3.
-2*(x - 3)*(x + 38)/9
Determine s so that 114242*s**2/7 - 37284*s/7 + 3042/7 = 0.
39/239
Solve 3*p**2 - 2250*p + 421875 = 0.
375
Let -4*b**4 - 100*b**3 + 324*b**2 - 332*b + 112 = 0. Calculate b.
-28, 1
Solve 5*v**5 - 35*v**4 + 75*v**3 - 25*v**2 - 80*v + 60 = 0.
-1, 1, 2, 3
Solve c**3/3 - 29*c**2 - 88*c/3 = 0.
-1, 0, 88
Factor -2*o**4/13 - 112*o**3/13 - 1676*o**2/13 - 3024*o/13 - 1458/13.
-2*(o + 1)**2*(o + 27)**2/13
Factor 95*c**4 + 55*c**3.
5*c**3*(19*c + 11)
Suppose -3*o**4 + 45*o**3 + 351*o**2 - 5577*o = 0. Calculate o.
-11, 0, 13
Factor 5*p**3/2 + 130*p**2 + 3625*p/2 + 3125.
5*(p + 2)*(p + 25)**2/2
Factor -4*y**5 + 200*y**4 - 196*y**3.
-4*y**3*(y - 49)*(y - 1)
Find o such that -4*o**4 - 116*o**3 + 252*o**2 + 116*o - 248 = 0.
-31, -1, 1, 2
Solve -m**4/2 - 3*m**3/4 + 3*m**2/2 + 13*m/4 + 3/2 = 0 for m.
-3/2, -1, 2
Factor 2*x**5/7 - 422*x**4/7 - 2586*x**3/7 - 558*x**2.
2*x**2*(x - 217)*(x + 3)**2/7
Suppose u**4/5 + u**3/5 - 12*u**2/5 - 28*u/5 - 16/5 = 0. What is u?
-2, -1, 4
Factor 6*n**3 - 77*n**2 - 499*n - 642.
(n + 2)*(n + 3)*(6*n - 107)
Factor -2*l**2 + 780*l - 76050.
-2*(l - 195)**2
Factor -3*u**3/7 - 24*u**2/7 + 213*u/7 + 234/7.
-3*(u - 6)*(u + 1)*(u + 13)/7
Factor -25*t**3 - 748*t**2 - 5565*t + 450.
-(t + 15)**2*(25*t - 2)
Determine j, given that -2*j**4 + 232*j**3 - 678*j**2 - 8*j + 904 = 0.
-1, 2, 113
Factor -x**5 - 2*x**4 + 7*x**3 - 4*x**2.
-x**2*(x - 1)**2*(x + 4)
Find r, given that -r**2/3 + 154*r/3 + 155/3 = 0.
-1, 155
Determine s, given that -12*s**5 - 40*s**4 + 92*s**3 - 40*s**2 = 0.
-5, 0, 2/3, 