**2 - 311*f/4 - 309/2 = 0. What is f?
-309, -1, 2
Factor 3*r**2/8 + 1707*r/8.
3*r*(r + 569)/8
Factor -b**5/8 + 35*b**4/8 - 81*b**3/2 + 148*b**2 - 236*b + 138.
-(b - 23)*(b - 6)*(b - 2)**3/8
Solve -2*n**5/11 - 54*n**4/11 - 262*n**3/11 + 1590*n**2/11 + 1800*n/11 = 0.
-15, -1, 0, 4
Suppose 3*q**3/2 + 67*q**2 - 633*q/2 + 98 = 0. What is q?
-49, 1/3, 4
Suppose -4*i**3/7 + 4*i**2 - 44*i/7 + 20/7 = 0. What is i?
1, 5
What is v in v**4/6 + 1573*v**3/3 + 2474329*v**2/6 = 0?
-1573, 0
Let 12*a**2/5 - 41*a/5 + 29/5 = 0. Calculate a.
1, 29/12
Factor -5*a**2 - 1600*a - 128000.
-5*(a + 160)**2
Determine p so that 21*p**3/2 + 4659*p**2 + 516150*p - 147852 = 0.
-222, 2/7
Factor -2*c**3/9 + 530*c**2/9 + 1604*c/9 + 1072/9.
-2*(c - 268)*(c + 1)*(c + 2)/9
Solve 3*r**2/4 + 81*r/4 + 39/2 = 0.
-26, -1
Factor 2*j**4/15 + 4*j**3/15 - 2*j**2/5.
2*j**2*(j - 1)*(j + 3)/15
Factor p**4/4 + 28*p**3 - 291*p**2/2 + 90*p + 1053/4.
(p - 3)**2*(p + 1)*(p + 117)/4
Factor -2*w**3/7 + 134*w**2/7 + 276*w/7.
-2*w*(w - 69)*(w + 2)/7
Factor 8*p**5/9 - 98*p**4/9 + 104*p**3/3 - 8*p**2.
2*p**2*(p - 6)**2*(4*p - 1)/9
Determine d so that 6*d**3/5 + 84*d**2/5 + 78*d + 120 = 0.
-5, -4
Determine t, given that 4*t**2 + 1088*t + 73984 = 0.
-136
Factor 2*m**5/7 + 512*m**4/7 + 34274*m**3/7 + 193516*m**2/7 + 379000*m/7 + 250000/7.
2*(m + 2)**3*(m + 125)**2/7
Let g**2 + 1972*g + 972196 = 0. What is g?
-986
Suppose v**5/7 - 5*v**4/7 + 6*v**3/7 + 4*v**2/7 - 8*v/7 = 0. What is v?
-1, 0, 2
Factor l**5 + 60*l**4 + 900*l**3.
l**3*(l + 30)**2
Suppose -4*k**2 + 132*k = 0. What is k?
0, 33
Factor 4*o**2 - 1856*o + 215296.
4*(o - 232)**2
Factor 3*l**5 - 33*l**4 + 108*l**3 - 96*l**2 - 96*l + 144.
3*(l - 6)*(l - 2)**3*(l + 1)
Factor 2*l**4/5 - 34*l**3/5 + 28*l**2/5 + 64*l/5.
2*l*(l - 16)*(l - 2)*(l + 1)/5
Let 5*i**5 - 255*i**4 + 970*i**3 - 1430*i**2 + 945*i - 235 = 0. What is i?
1, 47
Find h, given that -85*h**3 - 355*h**2 - 400*h - 60 = 0.
-2, -3/17
Suppose -5*w**3/4 + 3*w**2 - w = 0. What is w?
0, 2/5, 2
Solve -6*o**5 + 20*o**4 + 36*o**3 - 104*o**2 - 78*o + 36 = 0.
-2, -1, 1/3, 3
Factor -t**2 - 9*t - 14.
-(t + 2)*(t + 7)
Determine h, given that -h**3/6 - 10*h**2/3 - 14*h = 0.
-14, -6, 0
Suppose 2*g**3/3 + 4*g**2/3 - 8*g/3 - 16/3 = 0. Calculate g.
-2, 2
What is t in 2*t**5/11 - 400*t**4/11 + 7130*t**3/11 - 46260*t**2/11 + 117720*t/11 - 78192/11 = 0?
1, 6, 181
Determine g so that -2*g**4 - 20*g**3 - 34*g**2 - 16*g = 0.
-8, -1, 0
Find n such that n**3/2 + 331*n**2/2 + 165*n = 0.
-330, -1, 0
What is z in -2*z**2/9 - 14*z/9 - 4/3 = 0?
-6, -1
Factor -5*z**4 - 5*z**3 + 30*z**2.
-5*z**2*(z - 2)*(z + 3)
Let -5*i**5 + 130*i**4 + 25*i**3 - 650*i**2 - 20*i + 520 = 0. What is i?
-2, -1, 1, 2, 26
Factor -n**2 + 110*n - 216.
-(n - 108)*(n - 2)
Let 3*r**2/4 - 27*r/8 + 27/8 = 0. What is r?
3/2, 3
Factor -5*a**3/3 - 50*a**2/3 + 85*a/3 + 110.
-5*(a - 3)*(a + 2)*(a + 11)/3
Find c such that 3*c**5 - 36*c**4 + 168*c**3 - 378*c**2 + 405*c - 162 = 0.
1, 2, 3
Solve y**4/4 - 139*y**3/4 + 4615*y**2/4 + 15123*y/4 = 0 for y.
-3, 0, 71
Factor w**3/4 - 3*w**2 + 21*w/4 - 5/2.
(w - 10)*(w - 1)**2/4
Suppose 280*j**4 + 130*j**3 - 145*j**2 + 5*j = 0. Calculate j.
-1, 0, 1/28, 1/2
Factor 3*b**4 + 36*b**3 - 39*b**2.
3*b**2*(b - 1)*(b + 13)
Factor -2*g**5/21 + 4*g**3/7 + 16*g**2/21 + 2*g/7.
-2*g*(g - 3)*(g + 1)**3/21
Factor 4*k**4 + 120*k**3 + 772*k**2 - 1920*k + 1024.
4*(k - 1)**2*(k + 16)**2
Find s, given that -2*s**3/3 + 184*s**2/3 + 62*s = 0.
-1, 0, 93
Suppose -3*q**2 - 69*q + 72 = 0. Calculate q.
-24, 1
Suppose 10*d**5 + 104*d**4 - 200*d**3 - 2656*d**2 + 4096*d + 2048 = 0. Calculate d.
-8, -2/5, 2, 4
Find v such that 4*v**4 + 24*v**3 + 52*v**2 + 48*v + 16 = 0.
-2, -1
Suppose -4*g**5 - 68*g**4 + 80*g**3 + 144*g**2 = 0. What is g?
-18, -1, 0, 2
Factor 2*i**3 - 16*i**2 + 42*i - 36.
2*(i - 3)**2*(i - 2)
Find r, given that r**5/3 + 73*r**4 + 4033*r**3 + 11881*r**2/3 = 0.
-109, -1, 0
What is d in 5*d**4 - 40*d**3 + 55*d**2 + 100*d = 0?
-1, 0, 4, 5
Factor 9*g**4 + 241*g**3 - 54*g**2.
g**2*(g + 27)*(9*g - 2)
Determine r, given that 2*r**3 + 270*r**2 - 1412*r - 1680 = 0.
-140, -1, 6
Determine i, given that 2*i**3 - 372*i**2 + 17298*i = 0.
0, 93
Find d such that -d**3/4 - 5*d**2/2 + 13*d - 14 = 0.
-14, 2
Factor 2*d**2/3 + 260*d/3 - 266.
2*(d - 3)*(d + 133)/3
Factor -3*x**5/7 + 54*x**4/7 + 180*x**3/7 + 186*x**2/7 + 9*x.
-3*x*(x - 21)*(x + 1)**3/7
Factor -182*r**2/5 - 778*r/5 + 124/5.
-2*(7*r + 31)*(13*r - 2)/5
Suppose p**5/2 + 15*p**4/2 - 13*p**3/2 - 183*p**2/2 + 90*p = 0. Calculate p.
-15, -4, 0, 1, 3
Factor -y**3 - 598*y**2 - 88800*y + 180000.
-(y - 2)*(y + 300)**2
Factor -5*f**3/3 + 140*f**2/3 - 640*f/3 - 5120/3.
-5*(f - 16)**2*(f + 4)/3
Suppose a**2/3 - 1400*a/3 + 490000/3 = 0. Calculate a.
700
Factor 5*v**3 - 810*v**2.
5*v**2*(v - 162)
What is y in -y**4 - 2*y**3 + 63*y**2 + 164*y - 224 = 0?
-7, -4, 1, 8
Find m, given that m**3/3 - 455*m**2/3 + 301*m + 453 = 0.
-1, 3, 453
Factor -3*j**3/7 - 60*j**2/7 - 57*j - 126.
-3*(j + 6)*(j + 7)**2/7
Let -3*v**2 - 48*v - 117 = 0. Calculate v.
-13, -3
Let -g**4/11 + g**3 - 38*g**2/11 + 40*g/11 = 0. What is g?
0, 2, 4, 5
Factor 2*h**3/9 + 550*h**2/9 - 1664*h/9 + 1112/9.
2*(h - 2)*(h - 1)*(h + 278)/9
Factor -4*v**2 + 760*v - 36100.
-4*(v - 95)**2
Solve 2*i**4/5 + 12*i**3 + 206*i**2/5 - 12*i - 208/5 = 0.
-26, -4, -1, 1
Find k, given that -2*k**3 - k**2 + 25*k - 12 = 0.
-4, 1/2, 3
Solve -5*o**2/3 + 1634*o/3 + 109 = 0.
-1/5, 327
Suppose -18*x**4/19 - 60*x**3/19 + 214*x**2/19 + 344*x/19 + 120/19 = 0. Calculate x.
-5, -2/3, 3
Factor -c**2/9 + 10*c/9 + 11/9.
-(c - 11)*(c + 1)/9
Solve -22500*s**3 - 24900*s**2 - 2464*s - 64 = 0 for s.
-1, -4/75
Determine d, given that -2*d**3 + 10*d**2 - 14*d + 6 = 0.
1, 3
Factor -2*j**3/13 + 100*j**2/13 - 1554*j/13 + 7056/13.
-2*(j - 21)**2*(j - 8)/13
Factor -2*d**4 + 372*d**3 - 738*d**2 + 368*d.
-2*d*(d - 184)*(d - 1)**2
What is u in 15*u**4 - 155*u**3 + 485*u**2 - 445*u + 100 = 0?
1/3, 1, 4, 5
Factor 3*a**3/10 - 31*a**2/5 - 951*a/10 - 31.
(a - 31)*(a + 10)*(3*a + 1)/10
Suppose 9*z**5 - 12*z**4 - 168*z**3 + 498*z**2 - 417*z + 90 = 0. Calculate z.
-5, 1/3, 1, 2, 3
Suppose 10*h**4/9 + 16*h**3/9 + 2*h**2/3 = 0. What is h?
-1, -3/5, 0
Factor -2*x**3/5 + 520*x**2 - 169000*x.
-2*x*(x - 650)**2/5
Let 8*h**4/3 + 182*h**3/3 + 130*h**2/3 - 44*h/3 = 0. What is h?
-22, -1, 0, 1/4
Find a such that 2*a**2/5 - 36*a/5 = 0.
0, 18
Factor -6*l**3 - 152*l**2 - 50*l.
-2*l*(l + 25)*(3*l + 1)
Factor 2*j**3/3 - 22*j**2/3 + 64*j/3 - 56/3.
2*(j - 7)*(j - 2)**2/3
Factor -2*f**2/7 - 192*f/7 - 736/7.
-2*(f + 4)*(f + 92)/7
What is x in -x**5/5 + 11*x**4/5 - 47*x**3/5 + 97*x**2/5 - 96*x/5 + 36/5 = 0?
1, 2, 3
Suppose -v**4/6 - 3*v**3 + 10*v**2/3 + 3*v - 19/6 = 0. Calculate v.
-19, -1, 1
Find s, given that -3*s**2 - 459*s + 930 = 0.
-155, 2
What is r in -4*r**4 - 48*r**3 - 168*r**2 - 208*r - 84 = 0?
-7, -3, -1
Factor -2*m**4/9 - 8*m**3/9 - 10*m**2/9 - 4*m/9.
-2*m*(m + 1)**2*(m + 2)/9
Determine d, given that -3*d**2 - 198*d - 3267 = 0.
-33
Factor -2*l**2/7 - 14*l - 1188/7.
-2*(l + 22)*(l + 27)/7
Find p, given that -20667*p**4/2 + 249*p**3 - 3*p**2/2 = 0.
0, 1/83
Factor -k**2/4 + 27*k/4 - 18.
-(k - 24)*(k - 3)/4
Suppose -2*k**5 + 14*k**4 + 102*k**3 + 202*k**2 + 164*k + 48 = 0. Calculate k.
-2, -1, 12
Factor 25*f**3/3 + 130*f**2/3 + 43*f + 12.
(f + 4)*(5*f + 3)**2/3
Factor -3*y**3/5 + 45*y**2 - 4536*y/5 + 11664/5.
-3*(y - 36)**2*(y - 3)/5
Find a such that -7*a**4/5 + 586*a**3/5 + 168*a**2/5 = 0.
-2/7, 0, 84
Factor -2*y**2/3 + 68*y.
-2*y*(y - 102)/3
Factor 5*v**2 - 505*v - 2100.
5*(v - 105)*(v + 4)
Find t, given that 2*t**3 + 320*t**2 - 326*t - 644 = 0.
-161, -1, 2
Solve 3*k**2/7 - 15660*k/7 + 20436300/7 = 0 for k.
2610
Factor 2*c**4 + 12*c**3 - 462*c**2 - 3872*c.
2*c*(c - 16)*(c + 11)**2
Let 20*j**3 + 168*j**2 + 384*j + 128 = 0. Calculate j.
-4, -2/5
Factor 2*t**2/13 + 1900*t/13 + 451250/13.
2*(t + 475)**2/13
Factor -2*q**3/11 + 68*q**2/11 - 6*q.
-2*q*(q - 33)*(q - 1)/11
Factor 2*g**2/9 + 7976*g/9 + 886.
2*(g + 1)*(g + 3987)/9
Let 80*y**5 - 760*y**4 + 1965*y**3 - 1805*y**2 + 580*y - 60 = 0. What is y?
1/4, 1, 2, 6
Determine a so that 3*a**4 - 162*a**3 + 732*a**2 + 162*a - 735 = 0.
-1, 1, 5, 49
Factor 4*m**3 + 56*m**2 + 52*m.
4*m*(m + 1)*(m + 13)
Let 10*f**4/7 + 972*f**3/7 + 2104*f**2/7 + 1332*f/7 + 190/7 = 0. What is 