)**2*(m - 2)/4
Suppose -2*q**5/7 + 6*q**4/7 + 32*q**3/7 - 40*q**2/7 - 192*q/7 - 128/7 = 0. What is q?
-2, -1, 4
Suppose -31*f**2 - 1548*f + 100 = 0. What is f?
-50, 2/31
Suppose -175*f**2 - 710*f - 40 = 0. What is f?
-4, -2/35
Let 3*t**2 - 15*t - 42 = 0. Calculate t.
-2, 7
Find j such that -j**5/2 + 26*j**4 - 243*j**3 - 2726*j**2 + 5887*j/2 = 0.
-7, 0, 1, 29
Determine t so that -2*t**4 - 24*t**3/7 - 6*t**2/7 + 4*t/7 = 0.
-1, 0, 2/7
Factor o**3/3 - 2*o**2 + 3*o - 4/3.
(o - 4)*(o - 1)**2/3
Factor 2*j**3/5 + 4*j**2 + 56*j/5 + 48/5.
2*(j + 2)**2*(j + 6)/5
Find j such that -5*j**4 - 45*j**3 - 135*j**2 - 135*j = 0.
-3, 0
Factor -21*k**3/4 - 97*k**2/4 - 31*k - 7.
-(k + 2)*(3*k + 7)*(7*k + 2)/4
Factor -2*z**2 - 2116*z.
-2*z*(z + 1058)
Find u, given that -39*u**2 - 40*u - 1 = 0.
-1, -1/39
Suppose -2*x**5/15 - 26*x**4/15 + 62*x**3/15 + 1634*x**2/15 + 276*x + 864/5 = 0. Calculate x.
-9, -2, -1, 8
Factor -w**2/5 - 1174*w/5 + 235.
-(w - 1)*(w + 1175)/5
Factor 2*g**2/9 + 10*g/9 - 4/3.
2*(g - 1)*(g + 6)/9
Suppose 4*d**3 + 48*d**2 + 36*d - 88 = 0. What is d?
-11, -2, 1
Factor n**2/2 + 39*n/2 + 37.
(n + 2)*(n + 37)/2
What is o in 12*o**4 + 50*o**3 - 28*o**2 - 222*o - 36 = 0?
-3, -1/6, 2
Find p such that 4*p**5 - 34*p**4 + 4*p**3 + 110*p**2 - 116*p + 32 = 0.
-2, 1/2, 1, 8
Factor -6*h**2/5 - 8*h/5 + 78/5.
-2*(h - 3)*(3*h + 13)/5
Solve -3*h**4 - 3*h**3 + 12*h**2 + 12*h = 0.
-2, -1, 0, 2
Let -2*s**3 + 2*s**2 + 10*s + 6 = 0. What is s?
-1, 3
Factor 2*x**4/11 - 2328*x**3/11 + 1016172*x**2/11 - 197137368*x/11 + 14341743522/11.
2*(x - 291)**4/11
Let 2*o**3/5 + 54*o**2/5 - 2*o/5 - 54/5 = 0. What is o?
-27, -1, 1
Let -n**3 + 24*n**2 - 125*n - 150 = 0. Calculate n.
-1, 10, 15
Solve n**3/10 + 7*n**2/10 - 2*n/5 - 14/5 = 0 for n.
-7, -2, 2
Solve -4*w**4 + 2*w**3 + 282*w**2 - 268*w - 544 = 0 for w.
-17/2, -1, 2, 8
Factor i**2 + 12376*i + 38291344.
(i + 6188)**2
Suppose 2*u**5/9 + 8*u**4/9 - 40*u**3/3 - 836*u**2/9 - 1610*u/9 - 100 = 0. Calculate u.
-5, -2, -1, 9
Factor 5*p**3 + 137*p**2 + 896*p - 588.
(p + 14)**2*(5*p - 3)
Factor -5*j**3 + 120*j**2 - 220*j.
-5*j*(j - 22)*(j - 2)
Determine h so that h**5/3 - 1232*h**4/3 + 820*h**3 + 2*h**2/3 - 2461*h/3 + 410 = 0.
-1, 1, 1230
Solve -8*o**5 - 30*o**4 + 832*o**3 - 1662*o**2 + 364*o = 0 for o.
-13, 0, 1/4, 2, 7
Factor j**4 + 163*j**3 + 6870*j**2 + 17600*j - 64000.
(j - 2)*(j + 5)*(j + 80)**2
Let z**5/7 + 5*z**4/7 + z**3/7 - 13*z**2/7 - 2*z/7 + 8/7 = 0. Calculate z.
-4, -2, -1, 1
Factor 9*a**5 - 165*a**4 - 1730*a**3 + 37050*a**2 + 78585*a - 2111317.
(a - 13)**3*(3*a + 31)**2
What is r in -r**5 - 95*r**4 - 1788*r**3 + 22268*r**2 - 52832*r + 32448 = 0?
-52, 1, 2, 6
Factor -2*b**3/5 + 12*b**2/5 - 64/5.
-2*(b - 4)**2*(b + 2)/5
Solve -34*t**4/9 - 106*t**3/9 - 4*t**2/3 = 0 for t.
-3, -2/17, 0
Factor t**2/5 + 151*t/5 + 444/5.
(t + 3)*(t + 148)/5
Factor -r**2 - 22*r + 23.
-(r - 1)*(r + 23)
Determine i so that 5*i**4/2 + 45*i**3/2 - 5*i**2/2 - 45*i/2 = 0.
-9, -1, 0, 1
Let p**3/4 + 51*p**2/4 + 99*p/4 + 49/4 = 0. What is p?
-49, -1
Solve 62*g**3/5 + 361*g**2/5 + 492*g/5 - 99/5 = 0.
-3, 11/62
Suppose 36*a**4 - 2132*a**3 - 1760*a**2 + 4816*a - 960 = 0. What is a?
-2, 2/9, 1, 60
Suppose -4*x**4/5 - 16*x**3/5 + 28*x**2/5 + 88*x/5 - 96/5 = 0. What is x?
-4, -3, 1, 2
Let -115*f**3/4 - 117*f**2/4 - f/2 = 0. Calculate f.
-1, -2/115, 0
Solve 2*n**3 - 46*n**2 - 52*n + 96 = 0 for n.
-2, 1, 24
Let u**2/4 + 31*u/2 - 195/4 = 0. Calculate u.
-65, 3
Determine r, given that 138*r**4 + 417*r**3 - 543*r**2 - 12*r = 0.
-4, -1/46, 0, 1
Factor 5*j**3/4 - 85*j**2/2.
5*j**2*(j - 34)/4
Factor -6*x**2 + 44*x - 38.
-2*(x - 1)*(3*x - 19)
Factor -g**3/7 - 402*g**2/7 + 807*g/7 - 404/7.
-(g - 1)**2*(g + 404)/7
Suppose 3*x**5/2 - 63*x**4/4 + 33*x**3 - 99*x**2/4 + 6*x = 0. Calculate x.
0, 1/2, 1, 8
Factor 2*n**5/3 - 20*n**4/3 + 8*n**3/3 + 380*n**2/3 - 650*n/3 - 1000/3.
2*(n - 5)**3*(n + 1)*(n + 4)/3
Factor -2*o**2/15 + 620*o/3 - 240250/3.
-2*(o - 775)**2/15
Solve 142*x**4 - 567*x**3 + 564*x**2 + 4*x = 0 for x.
-1/142, 0, 2
Find l, given that -4*l**3 - 28*l**2 = 0.
-7, 0
Solve -c**5 - 62*c**4 - 1512*c**3 - 18032*c**2 - 104272*c - 230496 = 0.
-14, -6
Determine r, given that 5*r**5 - 15*r**4 - 175*r**3 + 195*r**2 + 350*r = 0.
-5, -1, 0, 2, 7
Factor -i**4/5 + 4*i**3/5 + 11*i**2 + 10*i.
-i*(i - 10)*(i + 1)*(i + 5)/5
Factor -5*b**3 - 75*b**2 + 260*b - 180.
-5*(b - 2)*(b - 1)*(b + 18)
Solve -15*x**3 - 42*x**2 + 9*x = 0 for x.
-3, 0, 1/5
Find a such that -3*a**3/8 + 10635*a**2/8 - 1178823*a + 1177494 = 0.
1, 1772
Factor -3*p**4/5 - 78*p**3/5 - 672*p**2/5 - 384*p.
-3*p*(p + 8)**2*(p + 10)/5
Suppose 2*w**3/7 + 64*w**2 = 0. What is w?
-224, 0
Factor 4*v**5 - 36*v**4 + 128*v**3 - 224*v**2 + 192*v - 64.
4*(v - 2)**4*(v - 1)
Factor -h**2/3 - 7*h - 20/3.
-(h + 1)*(h + 20)/3
Factor -3*q**4 + 90*q**3 + 2589*q**2 - 48960*q - 887808.
-3*(q - 32)**2*(q + 17)**2
Factor -2*i**2 + 30*i - 28.
-2*(i - 14)*(i - 1)
What is t in t**3/2 + 5*t**2/2 + 4*t + 2 = 0?
-2, -1
Find a such that -2*a**4/5 + 14*a**3/5 - 72*a/5 = 0.
-2, 0, 3, 6
Factor -4*s**2 - 28*s + 120.
-4*(s - 3)*(s + 10)
Determine b, given that 4*b**4 + 204*b**3 + 3172*b**2 + 14196*b - 17576 = 0.
-26, -13, 1
Find p, given that 2*p**3 - 64*p**2 + 616*p - 1568 = 0.
4, 14
Find b such that -5*b**3 + 845*b**2 + 7000*b + 14160 = 0.
-4, 177
Let -3*h**5/8 - 99*h**4/4 - 3267*h**3/8 = 0. What is h?
-33, 0
Factor 2*q**4/7 + 4*q**3/7 - 4*q/7 - 2/7.
2*(q - 1)*(q + 1)**3/7
Suppose -3*n**3/5 + 96*n**2/5 - 399*n/5 - 6498/5 = 0. What is n?
-6, 19
Find x, given that 16*x**4/13 + 58*x**3/13 + 24*x**2/13 - 18*x/13 = 0.
-3, -1, 0, 3/8
Factor -5*x**3 - 109*x**2/2 + 131*x/2 - 6.
-(x - 1)*(x + 12)*(10*x - 1)/2
Factor -2*z**3 - 26*z**2 - 96*z - 72.
-2*(z + 1)*(z + 6)**2
Factor -2*b**3 - 276*b**2 + 2*b + 276.
-2*(b - 1)*(b + 1)*(b + 138)
What is n in 2*n**2/5 - 18*n/5 + 16/5 = 0?
1, 8
Factor -18*u**2 - 1048*u - 232.
-2*(u + 58)*(9*u + 2)
Determine q so that -q**3/3 + q**2/3 + 65*q/3 - 75 = 0.
-9, 5
Let -20*h**3 - 64*h**2 + 252*h + 360 = 0. Calculate h.
-5, -6/5, 3
Factor 60*s**3 + 172*s**2 + 96*s - 16.
4*(s + 1)*(s + 2)*(15*s - 2)
Find l such that -2*l**2/11 - 160*l/11 - 312/11 = 0.
-78, -2
Factor -3*w**2/8 - 3*w/2 + 63/8.
-3*(w - 3)*(w + 7)/8
What is h in -4*h**5 - 74*h**4/3 - 52*h**3 - 48*h**2 - 56*h/3 - 2 = 0?
-3, -1, -1/6
Solve v**4/6 + v**3/6 - 7*v**2/6 - v/6 + 1 = 0.
-3, -1, 1, 2
Factor 2*g**4 + 20*g**3 + 72*g**2 + 108*g + 54.
2*(g + 1)*(g + 3)**3
Find k, given that 3*k**4/8 + 9*k**3/8 - 3*k**2/8 - 9*k/8 = 0.
-3, -1, 0, 1
Find v such that 5*v**2 - 15*v - 270 = 0.
-6, 9
Solve n**3 - 6*n**2 - 31*n + 36 = 0 for n.
-4, 1, 9
Factor -3*j**4 + 15*j**3 + 6*j**2 - 72*j.
-3*j*(j - 4)*(j - 3)*(j + 2)
Find k such that 8*k**5 + 74*k**4 + 174*k**3 + 108*k**2 = 0.
-6, -9/4, -1, 0
Determine d, given that 3*d**2 + 11670*d + 11349075 = 0.
-1945
Determine c so that -12*c**4 + 136*c**3 + 1788*c**2 - 696*c - 1216 = 0.
-8, -2/3, 1, 19
Factor 49284*b**4 - 96792*b**3 + 45748*b**2 + 1744*b + 16.
4*(b - 1)**2*(111*b + 2)**2
Factor -125*f**2 - 13050*f - 340605.
-5*(5*f + 261)**2
Let -4*y**5 + 4*y**4 + 12*y**3 - 4*y**2 - 8*y = 0. Calculate y.
-1, 0, 1, 2
Determine m so that 44*m**4/3 + 80*m**3/3 - 16*m**2/3 = 0.
-2, 0, 2/11
Factor l**4/3 - 2*l**3 - 5*l**2 - 8*l/3.
l*(l - 8)*(l + 1)**2/3
Determine s, given that -5*s**5/2 + 15*s**4 - 65*s**3/2 + 30*s**2 - 10*s = 0.
0, 1, 2
Factor -2*x**2/9 - 64*x/9 - 58/3.
-2*(x + 3)*(x + 29)/9
Factor -5*q**2 + 85*q + 90.
-5*(q - 18)*(q + 1)
Factor 4*t**2/5 + 2892*t/5 - 2896/5.
4*(t - 1)*(t + 724)/5
Factor -h**2/4 + 7*h/4 - 3.
-(h - 4)*(h - 3)/4
Factor -3*c**4 + 42*c**3 - 180*c**2 + 150*c + 375.
-3*(c - 5)**3*(c + 1)
Factor -k**5 + 4*k**4 + 3*k**3 - 18*k**2.
-k**2*(k - 3)**2*(k + 2)
Find m such that -m**5 - 9*m**4 + 10*m**3 = 0.
-10, 0, 1
Find k such that -2*k**5/3 - 8*k**4/3 + 142*k**3/3 - 196*k**2/3 - 640*k/3 + 704/3 = 0.
-11, -2, 1, 4
Factor 3*n**4 - 24*n**3 - 33*n**2 + 54*n.
3*n*(n - 9)*(n - 1)*(n + 2)
Factor -2*v**2 - 14076*v - 24766722.
-2*(v + 3519)**2
Find l such that 5*l**4 - 20*l**3 - 130*l**2 + 300*l + 1125 = 0.
-3, 5
Factor 2*n**3 - 144*n**2 - 296*n.
2*n*(n - 74)*(n + 2)
Factor 3*n**2/2 - 183*n/2 + 495.
3*(n - 55)*(n - 6)/2
Solve 5*t**4 + 100*t**3 + 585*t**2 + 1350*t + 1080 = 0.
-12, -3, -2
Find t, given that 2*t**2/7 + 8*t/7 - 90/7 = 0.
-9, 