/9 + 2*b + 22/9.
-2*(b + 1)*(2*b - 11)/9
Factor -4*f**2/7 + 200*f/7 - 2500/7.
-4*(f - 25)**2/7
Factor k**2 - k.
k*(k - 1)
Factor -3*s**3/5 + 63*s/5 + 12.
-3*(s - 5)*(s + 1)*(s + 4)/5
Factor -c**3 - 3*c**2 + 4*c.
-c*(c - 1)*(c + 4)
Determine l, given that -l**3 - 7*l**2 + 70*l - 104 = 0.
-13, 2, 4
Factor 3*r**2 + 54*r - 120.
3*(r - 2)*(r + 20)
Suppose 2*d**4/9 - 4*d**3/9 - 8*d**2/9 + 4*d/9 + 2/3 = 0. Calculate d.
-1, 1, 3
Solve 4*r**4 + 32*r**3 - 288*r**2 + 640*r - 448 = 0.
-14, 2
Factor -3*y**2 - 3*y + 36.
-3*(y - 3)*(y + 4)
Suppose 3*g**4 - 84*g**3 - 270*g**2 - 276*g - 93 = 0. What is g?
-1, 31
Suppose -r**3 + 786*r**2 - 1569*r + 784 = 0. What is r?
1, 784
Solve -4*i**2 - 2364*i + 2368 = 0.
-592, 1
Factor -5*x**4 - 125*x**3 - 110*x**2 + 240*x.
-5*x*(x - 1)*(x + 2)*(x + 24)
Solve 1936*d**5/3 + 5500*d**4/3 - 964*d**3/3 - 121*d**2/3 - d = 0.
-3, -1/22, 0, 1/4
Suppose 6*k**5 - 262*k**4 + 4076*k**3 - 26332*k**2 + 56910*k + 22050 = 0. Calculate k.
-1/3, 7, 15
Factor 5*k**2 - 2305*k.
5*k*(k - 461)
Find z such that -5*z**3 + 100*z**2 + 115*z - 210 = 0.
-2, 1, 21
Factor 4*w**3 - 204*w**2 - 208*w.
4*w*(w - 52)*(w + 1)
Find z, given that -5*z**3 - 10*z**2 + 35*z - 20 = 0.
-4, 1
Factor p**3 - 12*p**2 + 27*p.
p*(p - 9)*(p - 3)
Factor 4*h**5 + 120*h**4 + 1152*h**3 + 3456*h**2.
4*h**2*(h + 6)*(h + 12)**2
Let 5*u**3/4 - 920*u**2 - 7375*u/4 - 1845/2 = 0. Calculate u.
-1, 738
Find v such that 5*v**3 + 110*v**2 - 145*v - 690 = 0.
-23, -2, 3
Factor 3*o**2 - 312*o.
3*o*(o - 104)
What is u in -6*u**2 - 142*u - 92 = 0?
-23, -2/3
Let 5*y**2 - 90*y + 400 = 0. What is y?
8, 10
Factor 6*h**4 + 77*h**3 + 125*h**2 + 43*h - 11.
(h + 1)**2*(h + 11)*(6*h - 1)
Let 776*y**4/9 + 1094*y**3/3 + 236*y**2/3 - 16*y/9 = 0. Calculate y.
-4, -1/4, 0, 2/97
Factor -t**4/3 - 11*t**3/6 + 2*t**2 + 6*t.
-t*(t - 2)*(t + 6)*(2*t + 3)/6
Factor -4*q**4 + 80*q**3 + 4*q**2 - 80*q.
-4*q*(q - 20)*(q - 1)*(q + 1)
Factor 5*v**4 - 10*v**3 - 120*v**2 + 250*v - 125.
5*(v - 5)*(v - 1)**2*(v + 5)
Factor -220*r**2 - 245*r - 25.
-5*(r + 1)*(44*r + 5)
Solve -4*c**2 + 172*c - 624 = 0 for c.
4, 39
Factor 2*d**4/7 + 2*d**3/7 - 96*d**2/7 + 160*d/7 + 256/7.
2*(d - 4)**2*(d + 1)*(d + 8)/7
Determine a, given that -3*a**4 + 26*a**3 - 33*a**2 - 86*a - 24 = 0.
-1, -1/3, 4, 6
Suppose -44*z**3/3 + 388*z**2/3 - 280*z/3 - 64/3 = 0. What is z?
-2/11, 1, 8
Find x such that -x**2/3 - 107*x/3 = 0.
-107, 0
Find l such that 5*l**3 - 5*l**2 - 325*l - 315 = 0.
-7, -1, 9
Find i such that 5*i**2 - 3290*i + 541205 = 0.
329
Suppose -2*n**5/13 - 4*n**4/13 + 24*n**3/13 + 36*n**2/13 - 54*n/13 = 0. Calculate n.
-3, 0, 1, 3
Factor 4*m**3 - 816*m**2 + 39060*m + 264600.
4*(m - 105)**2*(m + 6)
Factor 20*g**3 + 1065*g**2 - 815*g - 270.
5*(g - 1)*(g + 54)*(4*g + 1)
Factor -2*o**4 + 20*o**3 - 46*o**2 + 28*o.
-2*o*(o - 7)*(o - 2)*(o - 1)
Solve 2*w**5/11 - 62*w**4/11 + 508*w**3/11 - 388*w**2/11 - 510*w/11 + 450/11 = 0 for w.
-1, 1, 15
Factor 2*l**3/13 + 192*l**2/13 + 4608*l/13.
2*l*(l + 48)**2/13
Determine u so that 4*u**2/3 + 88*u/3 - 92/3 = 0.
-23, 1
Factor n**4/3 - 61*n**3/3 + 455*n**2 - 13351*n/3 + 48334/3.
(n - 22)*(n - 13)**3/3
What is d in -2*d**5 - 8*d**4 - 2*d**3 + 28*d**2 + 40*d + 16 = 0?
-2, -1, 2
Determine i, given that -2450*i**5/3 + 1890*i**4 - 866*i**3 - 1726*i**2/3 + 272*i + 96 = 0.
-12/35, 1
Factor 4*j**3 + 44*j**2 - 184*j - 224.
4*(j - 4)*(j + 1)*(j + 14)
Factor -3*l**2 - 30*l.
-3*l*(l + 10)
Determine b so that -b**3/3 + 5*b**2/3 - 4*b/3 = 0.
0, 1, 4
Factor h**2 + 9*h + 14.
(h + 2)*(h + 7)
Factor -2*c**2/15 - 36*c/5 - 946/15.
-2*(c + 11)*(c + 43)/15
What is l in 2*l**5/3 - 12*l**4 - 166*l**3/3 - 72*l**2 - 88*l/3 = 0?
-2, -1, 0, 22
Determine h, given that 16*h**2 + 44*h + 24 = 0.
-2, -3/4
Factor -4*s**3 - 52*s**2 - 48*s.
-4*s*(s + 1)*(s + 12)
Factor o**4/9 + 29*o**3/3 + 722*o**2/3 + 11680*o/9 + 3200/3.
(o + 1)*(o + 6)*(o + 40)**2/9
Solve -f**5/8 - 3*f**4/8 + f**2/2 = 0.
-2, 0, 1
Factor -27*f**2/2 + 354*f - 78.
-3*(f - 26)*(9*f - 2)/2
Factor 2*s**3 + 58*s**2 + 52*s - 112.
2*(s - 1)*(s + 2)*(s + 28)
Solve -b**5/4 - 45*b**4/4 - 133*b**3/2 + 539*b**2/2 - 1173*b/4 + 407/4 = 0 for b.
-37, -11, 1
Let -2*v**3/17 + 7986*v**2/17 - 10629366*v/17 + 4715895382/17 = 0. What is v?
1331
Suppose 2*x**2/7 + 312*x/7 + 12168/7 = 0. Calculate x.
-78
Let -2*t**4/9 + 8*t**3 - 134*t**2/9 - 8*t + 136/9 = 0. What is t?
-1, 1, 2, 34
Suppose -4*f**4/3 - 12*f**3 - 36*f**2 - 36*f = 0. What is f?
-3, 0
Determine s, given that 4*s**2/3 - 472*s/3 - 476/3 = 0.
-1, 119
Solve -2*y**4 - 328*y**3 - 13098*y**2 + 30212*y + 110224 = 0 for y.
-83, -2, 4
Determine w so that -2*w**5/5 - 42*w**4/5 + 154*w**3/5 + 234*w**2/5 - 152*w/5 - 192/5 = 0.
-24, -1, 1, 4
Factor 3*y**4/5 - 27*y**3/5 - 3*y**2/5 + 27*y/5.
3*y*(y - 9)*(y - 1)*(y + 1)/5
Factor 5*j**5 - 10*j**3 + 5*j.
5*j*(j - 1)**2*(j + 1)**2
Let d**4 - 26*d**3 + 24*d**2 + 26*d - 25 = 0. What is d?
-1, 1, 25
What is c in 2*c**2 - 100*c + 1250 = 0?
25
Let -2*h**3 - 16*h**2 - 26*h - 12 = 0. What is h?
-6, -1
Factor t**2 + 105*t/4 + 13/2.
(t + 26)*(4*t + 1)/4
Find s such that 4*s**4/5 + 176*s**3/5 + 68*s**2 + 168*s/5 = 0.
-42, -1, 0
Determine y, given that -5*y**4 + 25*y**3 + 5*y**2 - 85*y - 60 = 0.
-1, 3, 4
Factor -5*a**4 - 45*a**3 + 60*a**2 + 100*a.
-5*a*(a - 2)*(a + 1)*(a + 10)
Factor 2*w**2/15 - 34*w/3 - 172/15.
2*(w - 86)*(w + 1)/15
Let -4*h**2 - 7712*h + 7716 = 0. Calculate h.
-1929, 1
Find u, given that 3*u**3 + 10*u**2 - 13*u - 20 = 0.
-4, -1, 5/3
Factor -5*l**2/4 + 465*l/4 + 4995/2.
-5*(l - 111)*(l + 18)/4
What is d in d**5/4 - 5*d**3/4 + d = 0?
-2, -1, 0, 1, 2
Let 8*p**4 - 983*p**3 + 40221*p**2 - 546325*p - 68921 = 0. What is p?
-1/8, 41
Factor -c**3 + c**2 + 6*c.
-c*(c - 3)*(c + 2)
Let -3*p**3 - 36*p**2 - 69*p + 108 = 0. What is p?
-9, -4, 1
Determine f so that -4*f**4 - 12*f**3 + 540*f**2 - 1028*f + 504 = 0.
-14, 1, 9
Factor -5*o**3 + 600*o**2 + 2460*o + 2480.
-5*(o - 124)*(o + 2)**2
Find a, given that 2*a**2/7 - 292*a/7 + 10658/7 = 0.
73
Determine c, given that 5*c**2 + 640*c + 20480 = 0.
-64
What is z in -3*z**4/4 + 537*z**3/4 - 19941*z**2/4 + 211071*z/4 = 0?
0, 23, 133
Let -9*m**2 + 177*m/2 + 15 = 0. Calculate m.
-1/6, 10
Find m such that -299*m**3 - 1197*m**2/2 - 300*m - 1/2 = 0.
-1, -1/598
Factor 3*z**2 + 198*z + 384.
3*(z + 2)*(z + 64)
Solve -3*f**5 - 9*f**4 - 9*f**3 - 3*f**2 = 0.
-1, 0
Factor 5*s**2 - 645*s - 2660.
5*(s - 133)*(s + 4)
Let -2*a**2/11 + 124*a/11 - 464/11 = 0. What is a?
4, 58
Factor -3*y**4 + 33*y**3 + 9*y**2 - 93*y - 66.
-3*(y - 11)*(y - 2)*(y + 1)**2
Find r such that -2*r**4/15 + 16*r**3/15 + 4*r**2/3 - 16*r/15 - 6/5 = 0.
-1, 1, 9
Suppose -20*g**2 - 2972*g + 1192 = 0. What is g?
-149, 2/5
Suppose 3*s**3/4 + 3*s**2/2 - 165*s/4 - 42 = 0. What is s?
-8, -1, 7
Factor 2*g**2/7 - 318*g/7 - 320/7.
2*(g - 160)*(g + 1)/7
Find p, given that -9*p**5/2 - 33*p**4/2 + 65*p**3/2 + 13*p**2/2 - 28*p + 10 = 0.
-5, -1, 2/3, 1
What is y in 2*y**5/7 - 24*y**4/7 + 36*y**3/7 + 152*y**2/7 + 90*y/7 = 0?
-1, 0, 5, 9
Factor 2*a**4/5 - 8*a**3 + 236*a**2/5 - 72*a + 162/5.
2*(a - 9)**2*(a - 1)**2/5
Factor p**4 - 109*p**3 + 107*p**2 + 109*p - 108.
(p - 108)*(p - 1)**2*(p + 1)
Let 286443*v**2 + 3708*v + 12 = 0. Calculate v.
-2/309
Determine q so that 2*q**2/5 - 308*q/5 + 306/5 = 0.
1, 153
Determine b, given that 4*b**4 - 20*b**3 - 84*b**2 - 92*b - 32 = 0.
-1, 8
Let 2*s**2 + 3464*s - 3466 = 0. What is s?
-1733, 1
Factor -2*k**2/5 - 6*k/5 + 36/5.
-2*(k - 3)*(k + 6)/5
What is g in 4*g**5 + 16*g**4 - 72*g**3 + 80*g**2 - 28*g = 0?
-7, 0, 1
Solve m**4 - 10*m**3 - 71*m**2 - 60*m = 0 for m.
-4, -1, 0, 15
Solve -16*l**3 - 116*l**2 - 160*l + 192 = 0.
-4, 3/4
Factor -5*j**3 + 295*j**2.
-5*j**2*(j - 59)
Factor 4*q**3 + 330*q**2 - 168*q - 166.
2*(q - 1)*(q + 83)*(2*q + 1)
Let -3*u**4 + 5436*u**3 + 16326*u**2 + 16332*u + 5445 = 0. What is u?
-1, 1815
Determine o so that -4*o**2 + 724*o + 2208 = 0.
-3, 184
Factor 3*g**3 + 33*g**2 + 120*g + 144.
3*(g + 3)*(g + 4)**2
Let -46*w**5 + 461*w**4 - 1712*w**3 + 2797*w**2 - 1716*w + 36 = 0. What is w?
1/46, 2, 3
Factor 3*w**2/7 + 99*w/7 - 30.
3*(w - 2)*(w + 35)/7
Find p such that 15*p**4 + 21*p**3 - 129*p**2 - 189*p - 54 = 0.
-3, -1, -2/5, 3
Factor -2*a**2/13 + 524*a/13 - 522/13.
-2*(a - 261)*(a - 1)/13
Factor 5*s**2 + 680*s + 23120.
5*(s + 68)**2
What is o in -4*o**4 - 96*o**3 - 88*o**2 + 96