*l/2 + 2 = 0 for l.
-4, -2, -2/9, 1
Suppose -3*q**5 - 45*q**4 - 81*q**3 + 717*q**2 - 216*q - 972 = 0. What is q?
-9, -1, 2
Factor -3*f**2 - 312*f - 8112.
-3*(f + 52)**2
What is r in -5*r**3 - 15*r**2 - 10*r = 0?
-2, -1, 0
Factor 3*t**3/4 - 27*t**2/4 + 9*t/2 + 12.
3*(t - 8)*(t - 2)*(t + 1)/4
Factor 3*j**3 + 147*j**2 - 3*j - 147.
3*(j - 1)*(j + 1)*(j + 49)
Solve -2*t**4 + 10*t**3 + 6*t**2 - 26*t - 20 = 0 for t.
-1, 2, 5
Factor -2*v**3/21 - 12*v**2/7 + 2*v/21 + 12/7.
-2*(v - 1)*(v + 1)*(v + 18)/21
Factor k**2/6 + 13*k/6.
k*(k + 13)/6
Find p, given that -p**5/2 - 5*p**4/2 + 9*p**3 + 29*p**2 - 145*p/2 + 75/2 = 0.
-5, 1, 3
Suppose 3*c**2/7 + 96*c/7 - 1584/7 = 0. Calculate c.
-44, 12
Suppose 18*p**5 + 51*p**4/2 - 71*p**3/2 - 17*p**2 + 22*p - 4 = 0. Calculate p.
-2, -1, 1/4, 2/3
Determine j, given that -5*j**3 - 240*j**2 - 3840*j - 20480 = 0.
-16
Factor p**3/4 + 13*p**2/4 - 7*p/2.
p*(p - 1)*(p + 14)/4
Suppose -h**5/2 + h**4/2 + 5*h**3/2 + 3*h**2/2 = 0. What is h?
-1, 0, 3
Determine u, given that -u**2/5 + 1266*u/5 - 400689/5 = 0.
633
Find h, given that -h**4/2 - 35*h**3/6 - 79*h**2/6 - 65*h/6 - 3 = 0.
-9, -1, -2/3
Factor -4*d**4/9 + 32*d**3/3 - 88*d**2/3 + 256*d/9 - 28/3.
-4*(d - 21)*(d - 1)**3/9
Solve 2*k**4/7 - 36*k**3 - 1030*k**2/7 - 1296*k/7 - 520/7 = 0.
-2, -1, 130
Solve 10*b**5 - 24*b**4 + 8*b**3 + 20*b**2 - 18*b + 4 = 0 for b.
-1, 2/5, 1
What is x in 2*x**3/5 + 6*x**2 + 54*x/5 + 26/5 = 0?
-13, -1
Factor -2*m**3 + 14*m**2 + 308*m + 544.
-2*(m - 17)*(m + 2)*(m + 8)
Determine k so that -2*k**2/11 - 38*k/11 - 96/11 = 0.
-16, -3
Find x such that 4*x**3/5 - 1936*x**2/5 = 0.
0, 484
Determine g so that 4*g**2 - 1208*g + 2400 = 0.
2, 300
Solve 9*l**3/2 - 60*l**2 + 357*l/2 + 147 = 0 for l.
-2/3, 7
Factor -2*j**3/5 + 2*j**2/5 + 24*j/5.
-2*j*(j - 4)*(j + 3)/5
Factor 3*w**2 - 1899*w + 1896.
3*(w - 632)*(w - 1)
Factor 12*j**3 + 124*j**2 - 92*j - 44.
4*(j - 1)*(j + 11)*(3*j + 1)
Factor 4*q**5 - 112*q**4 + 960*q**3 - 1600*q**2 - 8000*q.
4*q*(q - 10)**3*(q + 2)
Factor 2*h**3/15 + 8*h**2 + 152*h/5 + 448/15.
2*(h + 2)**2*(h + 56)/15
Factor 2*x**5/21 + 14*x**4/3 + 1150*x**3/21 - 1250*x**2/21.
2*x**2*(x - 1)*(x + 25)**2/21
Factor -9*q**5 - 3*q**4.
-3*q**4*(3*q + 1)
Suppose 18*z**4 - 68*z**3 + 56*z**2 + 16*z = 0. Calculate z.
-2/9, 0, 2
What is v in 2*v**3/13 + 514*v**2/13 + 512*v/13 = 0?
-256, -1, 0
Suppose 4*c**3/7 - 38*c**2/7 + 18*c/7 = 0. Calculate c.
0, 1/2, 9
Let -15*n**3/8 + 429*n**2/8 - 63*n/2 = 0. What is n?
0, 3/5, 28
Let 2*h**2 + 256*h + 5742 = 0. What is h?
-99, -29
Determine g, given that -g**2 + 232*g - 13456 = 0.
116
Determine b, given that 5*b**3 - 25*b**2 + 40*b - 20 = 0.
1, 2
Factor 3*o**2/2 - 36*o + 429/2.
3*(o - 13)*(o - 11)/2
Factor -k**3/2 + 886*k**2 - 392498*k.
-k*(k - 886)**2/2
Factor -243*d**2/7 + 291*d/7 - 48/7.
-3*(d - 1)*(81*d - 16)/7
Factor 5*d**4 + 180*d**3 + 1430*d**2 - 3420*d + 1805.
5*(d - 1)**2*(d + 19)**2
Factor -5*f**2 + 55*f + 60.
-5*(f - 12)*(f + 1)
What is j in j**2/4 + 27*j/4 = 0?
-27, 0
Factor -4*t**2/3 - 28*t + 184/3.
-4*(t - 2)*(t + 23)/3
Solve 8*i**5/9 - 38*i**4/9 + 16*i**3/3 + 14*i**2/9 - 56*i/9 + 8/3 = 0.
-1, 3/4, 1, 2
Factor -2*d**3/7 - 54*d**2/7 - 48*d/7 + 104/7.
-2*(d - 1)*(d + 2)*(d + 26)/7
Let 7*a**5 + 40*a**4 + 9*a**3 - 76*a**2 + 20*a = 0. Calculate a.
-5, -2, 0, 2/7, 1
Suppose -4*p**3/9 - 2*p**2/3 - 2*p/9 = 0. Calculate p.
-1, -1/2, 0
Determine x so that -2*x**3 - 18*x**2 + 2*x + 18 = 0.
-9, -1, 1
Factor -3*g**2 + 2412*g - 484812.
-3*(g - 402)**2
Factor -24*y**2/5 + 14*y/5.
-2*y*(12*y - 7)/5
Factor 5*a**3 - 330*a**2 + 5760*a - 10240.
5*(a - 32)**2*(a - 2)
Suppose 20*r**3 - 145*r**2 + 35*r = 0. What is r?
0, 1/4, 7
Find d, given that -3*d**5/2 - 27*d**4/2 - 69*d**3/2 - 9*d**2/2 + 54*d = 0.
-4, -3, 0, 1
Factor n**3/2 + 2*n**2 - 275*n/2 - 1089.
(n - 18)*(n + 11)**2/2
Solve 3*m**4 + 45*m**3 = 0 for m.
-15, 0
Factor -110*n**2 - 225*n - 10.
-5*(n + 2)*(22*n + 1)
Factor -2*y**4 + 26*y**3 - 114*y**2 + 190*y - 100.
-2*(y - 5)**2*(y - 2)*(y - 1)
Solve -2*d**2 + 712*d + 6570 = 0 for d.
-9, 365
Factor 33*w**5 - 12*w**4 - 75*w**3 + 54*w**2.
3*w**2*(w - 1)**2*(11*w + 18)
Let q**2 + 164*q + 324 = 0. What is q?
-162, -2
Factor q**4 - q**2.
q**2*(q - 1)*(q + 1)
Determine q so that -4*q**2 + 44*q + 2088 = 0.
-18, 29
Solve -i**3 + 37*i**2 - 260*i - 676 = 0 for i.
-2, 13, 26
Determine k so that k**2 - 13*k = 0.
0, 13
Determine f, given that -f**4/2 - 5*f**3/2 + 15*f**2/2 + 5*f/2 - 7 = 0.
-7, -1, 1, 2
Determine n so that -6*n**4/7 - 24*n**3 - 306*n**2/7 + 24*n + 312/7 = 0.
-26, -2, -1, 1
Suppose -4*p**4/3 - 218*p**3/3 + 346*p**2 - 1408*p/3 + 472/3 = 0. Calculate p.
-59, 1/2, 2
Solve -2*b**4/3 + 42*b**3 - 82*b**2 + 122*b/3 = 0 for b.
0, 1, 61
Factor b**2/6 - 43*b/3 + 1849/6.
(b - 43)**2/6
Factor -5*u**4 - 890*u**3 - 12225*u**2.
-5*u**2*(u + 15)*(u + 163)
Factor -l**2/5 + 9362*l/5 - 21911761/5.
-(l - 4681)**2/5
Factor 3*s**2 + 210*s - 657.
3*(s - 3)*(s + 73)
Factor 2*n**2/9 + 76*n/9 - 160/9.
2*(n - 2)*(n + 40)/9
Solve 6*h**4/11 + 378*h**3/11 + 5760*h**2/11 - 6144*h/11 = 0 for h.
-32, 0, 1
Let -5*c**4 - 50*c**3 - 40*c**2 + 50*c + 45 = 0. What is c?
-9, -1, 1
Factor f**4/7 + 558*f**3/7 + 77281*f**2/7 - 22320*f + 11200.
(f - 1)**2*(f + 280)**2/7
Determine c, given that -c**4/3 - 8*c**3/3 - 13*c**2/3 - 2*c = 0.
-6, -1, 0
Factor y**4/2 - 9*y**3 + 24*y**2 - 23*y + 15/2.
(y - 15)*(y - 1)**3/2
Factor 3*p**3 - 189*p**2 + 1368*p - 2640.
3*(p - 55)*(p - 4)**2
Let -2*d**5/9 + 8*d**4/3 - 40*d**3/9 - 256*d**2/9 + 128*d/3 + 1024/9 = 0. What is d?
-2, 4, 8
Let -3*r**3 + 57*r**2 - 54*r = 0. Calculate r.
0, 1, 18
Factor 36*i**2 - 40*i + 4.
4*(i - 1)*(9*i - 1)
Factor -2*s**2 + 5632*s - 3964928.
-2*(s - 1408)**2
Factor -2*a**2/3 - 20*a - 418/3.
-2*(a + 11)*(a + 19)/3
Factor -15*n**3/7 + 39*n**2/7 + 18*n/7.
-3*n*(n - 3)*(5*n + 2)/7
What is n in -5*n**4 + 70*n**3 - 285*n**2 + 180*n + 540 = 0?
-1, 3, 6
Let -4*s**4 + 116*s**3 - 780*s**2 - 900*s = 0. Calculate s.
-1, 0, 15
Factor -u**4/6 + 32*u**3 - 3007*u**2/2 - 9409*u/3.
-u*(u - 97)**2*(u + 2)/6
Factor 8*g**4 - 124*g**3 + 564*g**2 - 900*g + 324.
4*(g - 9)*(g - 3)**2*(2*g - 1)
Find w, given that -20*w**2/13 - 2*w/13 = 0.
-1/10, 0
What is v in -5*v**2/4 - 3155*v = 0?
-2524, 0
Let -27*w**4 + 6795*w**3 - 17967*w**2 + 9717*w - 1494 = 0. Calculate w.
1/3, 2, 249
Factor -3*s**3/7 - 3*s**2/7 + 27*s/7 + 27/7.
-3*(s - 3)*(s + 1)*(s + 3)/7
Factor -16*x**3/7 - 36*x**2/7 + 4*x/7 + 24/7.
-4*(x + 1)*(x + 2)*(4*x - 3)/7
Suppose 5*z**3 + 29*z**2 - 6*z = 0. Calculate z.
-6, 0, 1/5
Factor -k**5 - 8*k**4 + k**3 + 8*k**2.
-k**2*(k - 1)*(k + 1)*(k + 8)
What is o in -12*o**3/11 + 14*o**2/11 - 2*o/11 = 0?
0, 1/6, 1
Factor 75*x**2 - 1041*x - 1116.
3*(x + 1)*(25*x - 372)
Let 3*j**2 + 1374*j + 157323 = 0. What is j?
-229
Factor -5*b**4 - 15*b**3 + 45*b**2 - 25*b.
-5*b*(b - 1)**2*(b + 5)
Factor 4*g**3 - 24*g**2 + 36*g.
4*g*(g - 3)**2
Let 12*w**3 + 64*w**2 - 240*w + 128 = 0. Calculate w.
-8, 2/3, 2
Determine b, given that -b**5 - 3*b**4 - b**3 + 3*b**2 + 2*b = 0.
-2, -1, 0, 1
What is w in 26*w**5/3 - 16*w**4 + 6*w**3 + 4*w**2/3 = 0?
-2/13, 0, 1
Factor -4*t**4 + 192*t**3 - 372*t**2 + 184*t.
-4*t*(t - 46)*(t - 1)**2
Factor -4*s**4 + 128*s**3 + 1416*s**2 + 2432*s + 1148.
-4*(s - 41)*(s + 1)**2*(s + 7)
Factor -5*c**2 + 5*c + 280.
-5*(c - 8)*(c + 7)
Find c such that c**5/3 - 23*c**4/3 - 2*c**3/3 + 46*c**2/3 + c/3 - 23/3 = 0.
-1, 1, 23
Factor -5*x**4 - 1695*x**3.
-5*x**3*(x + 339)
Solve 5*c**5 - 155*c**4 + 290*c**3 + 10*c**2 - 295*c + 145 = 0.
-1, 1, 29
Factor -4*q**4/3 + 16*q**3/3 - 4*q**2/3 - 8*q.
-4*q*(q - 3)*(q - 2)*(q + 1)/3
Factor -2*w**2 + 126*w - 784.
-2*(w - 56)*(w - 7)
Suppose -8*g**3/17 - 86*g**2/17 - 122*g/17 + 36/17 = 0. Calculate g.
-9, -2, 1/4
Determine y, given that 22*y**5/7 - 172*y**4/7 + 430*y**3/7 - 400*y**2/7 + 88*y/7 + 32/7 = 0.
-2/11, 1, 2, 4
Suppose -5*z**2 + 75*z + 80 = 0. What is z?
-1, 16
Let -4*x**4/5 - 14*x**3/5 - 12*x**2/5 + 2*x/5 + 4/5 = 0. Calculate x.
-2, -1, 1/2
Factor -g**3/5 - 16*g**2/5 + g/5 + 16/5.
-(g - 1)*(g + 1)*(g + 16)/5
Factor l**2/3 + 80*l/3 + 148.
(l + 6)*(l + 74)/3
Find d, given that -2*d**4/7 + 2*d**3 - 30*d**2/7 + 26*d/7 - 8/7 = 0.
1, 4
Factor -y**5/2 + 3*y**4/2 + 8*y**3 - 44*y**2 + 72*y - 40.
-(y - 2)**4*(y + 5)/2
Factor 2*l**3/15 + 16*l**2/15 + 26*l/15 + 4/5.
2*(l + 1)**2*(l + 6)/15
Facto