 3100*t**2 - 11532*t = 0?
-3, 0, 31
Factor -2*x**3/11 + 36*x**2/11 + 80*x/11.
-2*x*(x - 20)*(x + 2)/11
Factor 6*f**4 - 21*f**3 + 6*f**2 + 9*f.
3*f*(f - 3)*(f - 1)*(2*f + 1)
Suppose -5*c**2 - 720*c - 25920 = 0. What is c?
-72
Factor -2*w**3 - 24*w**2 - 34*w + 180.
-2*(w - 2)*(w + 5)*(w + 9)
Determine a, given that -a**4 - 11*a**3 + 14*a**2 + 24*a = 0.
-12, -1, 0, 2
Suppose 5*x**4 - 575*x**3 + 3315*x**2 - 4925*x + 2180 = 0. Calculate x.
1, 4, 109
Factor -g**3 - 509*g**2/7 + 146*g/7.
-g*(g + 73)*(7*g - 2)/7
Solve -22*f**5/3 + 92*f**4/3 + 226*f**3/3 + 88*f**2/3 - 8*f = 0 for f.
-1, 0, 2/11, 6
Factor 2*x**3/5 - 22*x**2/5 + 6*x + 54/5.
2*(x - 9)*(x - 3)*(x + 1)/5
Determine q so that 2*q**4 + 324*q**3 - 6*q**2 - 968*q + 648 = 0.
-162, -2, 1
What is s in -3*s**2 + 225*s - 438 = 0?
2, 73
Factor j**2/4 + 5*j + 19/4.
(j + 1)*(j + 19)/4
Factor -2*w**4/13 - 12*w**3/13 - 24*w**2/13 - 20*w/13 - 6/13.
-2*(w + 1)**3*(w + 3)/13
Suppose 2*w**5 + 208*w**4 + 1202*w**3 + 2572*w**2 + 2360*w + 784 = 0. What is w?
-98, -2, -1
Factor 2*l**3/5 + 2*l**2/5 - 16*l/5 - 24/5.
2*(l - 3)*(l + 2)**2/5
Find r such that 2*r**2 - 5830*r + 5828 = 0.
1, 2914
Suppose -5*t**3 + 55*t**2 - 200*t + 240 = 0. Calculate t.
3, 4
Factor c**3 - 11*c**2 + 19*c - 9.
(c - 9)*(c - 1)**2
Factor 4*q**3 - 1200*q**2 + 87552*q + 369664.
4*(q - 152)**2*(q + 4)
Determine f, given that -2*f**2/9 - 10*f/3 - 8 = 0.
-12, -3
Factor -2*y**4/5 + 6*y**3/5 + 26*y**2/5 - 6*y.
-2*y*(y - 5)*(y - 1)*(y + 3)/5
Factor 3*b**5 - 6*b**4 + 6*b**2 - 3*b.
3*b*(b - 1)**3*(b + 1)
Find c such that 27*c**5 - 18*c**4 - 465*c**3 - 564*c**2 - 180*c = 0.
-3, -2/3, 0, 5
What is t in -3*t**3 - 921*t**2 = 0?
-307, 0
Let -5*i**3 - 180*i**2 - 1425*i + 3610 = 0. What is i?
-19, 2
Let 6*a**5 + 16*a**4 + 12*a**3 - 2*a = 0. Calculate a.
-1, 0, 1/3
Suppose 12*w**5 - 20*w**4 - 64*w**3 + 48*w**2 = 0. What is w?
-2, 0, 2/3, 3
Factor -j**3/4 - 11613*j**2/4 - 44953923*j/4 - 58005545311/4.
-(j + 3871)**3/4
Suppose -64*o**4/7 - 6560*o**3/7 - 9732*o**2/7 - 520*o - 404/7 = 0. Calculate o.
-101, -1, -1/4
Factor -s**5/3 + 892*s**4/9 - 9834*s**3 + 326700*s**2 - 107811*s.
-s*(s - 99)**3*(3*s - 1)/9
Solve -2*j**5/19 - 8*j**4/19 + 100*j**3/19 + 616*j**2/19 + 910*j/19 + 400/19 = 0.
-5, -1, 8
Factor -3*h**4 - 51*h**3 - 48*h**2.
-3*h**2*(h + 1)*(h + 16)
Determine l so that -l**5/3 - l**4/3 + l**3/3 + l**2/3 = 0.
-1, 0, 1
Factor c**2 - 2796*c + 1954404.
(c - 1398)**2
Factor -t**2 - 54*t + 112.
-(t - 2)*(t + 56)
Determine v, given that -v**2/3 + 4*v - 35/3 = 0.
5, 7
Determine y so that -10*y**5/17 + 416*y**4/17 - 3802*y**3/17 - 10828*y**2/17 - 8536*y/17 - 1936/17 = 0.
-1, -2/5, 22
Solve -4*d**5 - 8*d**4 + 4*d**3 + 8*d**2 = 0 for d.
-2, -1, 0, 1
Factor b**4 - 63*b**3 - 621*b**2 - 1917*b - 1944.
(b - 72)*(b + 3)**3
Solve a**2/2 - 293*a/2 + 146 = 0.
1, 292
Suppose -3*q**5 - 6*q**4 + 63*q**3 - 66*q**2 - 60*q + 72 = 0. Calculate q.
-6, -1, 1, 2
Factor -k**3 + 36*k**2 - 131*k + 96.
-(k - 32)*(k - 3)*(k - 1)
Suppose 3*l**2 - 15*l = 0. Calculate l.
0, 5
Factor 3*j**3 - 9*j**2 - 12*j.
3*j*(j - 4)*(j + 1)
Find n, given that -6*n**5/5 + 26*n**4/5 + 62*n**3 - 266*n**2 - 1104*n/5 + 504/5 = 0.
-7, -1, 1/3, 6
Factor -4*m**2/3 - 2*m - 2/3.
-2*(m + 1)*(2*m + 1)/3
Factor -3*o**4 + 9*o**3 + 126*o**2 + 300*o + 216.
-3*(o - 9)*(o + 2)**3
Suppose f**3/2 + 77*f**2/2 - 119*f + 80 = 0. What is f?
-80, 1, 2
Suppose -d**2/5 + 57*d/5 + 118/5 = 0. What is d?
-2, 59
Solve 3*j**5/2 - 153*j**4 + 11835*j**3/2 - 106638*j**2 + 878472*j - 2667168 = 0 for j.
9, 28
What is n in -3*n**5 - 249*n**4 + 771*n**3 - 267*n**2 - 768*n + 516 = 0?
-86, -1, 1, 2
Factor -j**3/6 - 19*j**2/3 - 107*j/6 - 35/3.
-(j + 1)*(j + 2)*(j + 35)/6
Suppose -3*j**4/5 + 42*j**3/5 - 36*j**2 + 30*j + 75 = 0. What is j?
-1, 5
Solve -58*i**5/9 - 76*i**4/3 + 74*i**3/9 + 76*i**2/3 - 16*i/9 = 0.
-4, -1, 0, 2/29, 1
Solve 4*f**3 + 280*f**2 + 4608*f - 10368 = 0.
-36, 2
Suppose -2*a**5 - 128*a**4 - 1912*a**3 + 4484*a**2 + 1914*a - 4356 = 0. Calculate a.
-33, -1, 1, 2
Let 14*z**5/5 - 438*z**4/5 + 124*z**3/5 = 0. Calculate z.
0, 2/7, 31
Determine c, given that 2*c**4/5 + 136*c**3 = 0.
-340, 0
Let 192*l**4 - 5208*l**3 + 45225*l**2 - 860625*l/8 - 1265625/8 = 0. What is l?
-1, 75/8
Suppose -5*m**3 - 60*m**2 - 105*m - 50 = 0. Calculate m.
-10, -1
Find o such that -2*o**3 + 262*o**2 - 8710*o + 8450 = 0.
1, 65
Find x, given that -2*x**4/3 + 16*x**3 - 286*x**2/3 - 16*x + 96 = 0.
-1, 1, 12
Factor -25*k**3/2 - 205*k**2 + 1011*k/8 - 153/8.
-(k + 17)*(10*k - 3)**2/8
Suppose 2*j**2 + 19*j/2 - 5/2 = 0. What is j?
-5, 1/4
Factor -3*h**3/2 - 3*h**2 + 21*h/2 - 6.
-3*(h - 1)**2*(h + 4)/2
Determine c, given that -c**2 + 15*c - 36 = 0.
3, 12
Factor -2*p**4/3 - 760*p**3/3 - 31744*p**2 - 3801088*p/3 + 16777216/3.
-2*(p - 4)*(p + 128)**3/3
Suppose b**2/2 - 261*b + 68121/2 = 0. What is b?
261
Factor -2*d**2 + 1314*d + 1316.
-2*(d - 658)*(d + 1)
Factor -2*v**2/15 + 14*v/15 + 12/5.
-2*(v - 9)*(v + 2)/15
Factor 5*j**2 + 70*j - 475.
5*(j - 5)*(j + 19)
Factor p**2/8 - 177*p/8 + 22.
(p - 176)*(p - 1)/8
What is r in r**2/10 + 9*r/10 + 4/5 = 0?
-8, -1
Factor -2*s**3/9 + 10*s**2/9.
-2*s**2*(s - 5)/9
Factor 3*v**4 + 33*v**3 + 72*v**2 - 12*v - 96.
3*(v - 1)*(v + 2)**2*(v + 8)
Suppose 2*z**3 - 2*z**2 = 0. Calculate z.
0, 1
Suppose -c**3/2 - 5*c**2 + 69*c/2 - 45 = 0. What is c?
-15, 2, 3
Factor -4*u**3/5 + 16*u**2/5.
-4*u**2*(u - 4)/5
Let 2*g**5/3 + 4*g**4/3 - 4*g**3/3 - 16*g**2/3 - 14*g/3 - 4/3 = 0. What is g?
-1, 2
Factor c**2 - 442*c + 48841.
(c - 221)**2
Suppose 8*x**5/9 - 10*x**4/3 - 16*x**3/9 + 10*x**2/3 + 8*x/9 = 0. What is x?
-1, -1/4, 0, 1, 4
Factor z**3/10 - 11*z**2/10 - 7*z/5 + 12/5.
(z - 12)*(z - 1)*(z + 2)/10
Let 4*w**2 + 304*w - 308 = 0. Calculate w.
-77, 1
Factor 6*p**4 + 220*p**3 + 2088*p**2 + 1296*p.
2*p*(p + 18)**2*(3*p + 2)
Find k such that -6*k**3 + 9*k**2 + 933*k - 468 = 0.
-12, 1/2, 13
Suppose 4*g**5 - 224*g**4 + 2904*g**3 + 6496*g**2 + 3364*g = 0. What is g?
-1, 0, 29
What is y in y**3 + 2*y**2 - 15*y = 0?
-5, 0, 3
Factor g**5 + 16*g**4 - 97*g**3 + 164*g**2 - 84*g.
g*(g - 2)**2*(g - 1)*(g + 21)
Factor -2*t**5 - 28*t**4 - 114*t**3 - 144*t**2.
-2*t**2*(t + 3)**2*(t + 8)
Suppose -2*r**5/3 + 20*r**4/3 - 10*r**3/3 - 80*r**2/3 + 24*r = 0. What is r?
-2, 0, 1, 2, 9
What is t in t**2 + 11*t - 276 = 0?
-23, 12
Factor -2*d**2 - 1034*d + 1036.
-2*(d - 1)*(d + 518)
Determine k, given that -2*k**2/7 + 312*k/7 + 314/7 = 0.
-1, 157
Factor -3*o**3 + 315*o**2 - 11025*o + 128625.
-3*(o - 35)**3
Factor 2*p**4/7 - 8*p**3 + 50*p**2/7 + 108*p/7.
2*p*(p - 27)*(p - 2)*(p + 1)/7
Factor -2*s**2/7 - 8*s - 54/7.
-2*(s + 1)*(s + 27)/7
Determine o, given that -4*o**2 + 1844*o + 3704 = 0.
-2, 463
What is h in 2*h**2 + 68*h = 0?
-34, 0
Solve 3*x**3/7 - 12*x**2/7 - 33*x/7 - 18/7 = 0 for x.
-1, 6
Let -14*s**4 - 179*s**3 - 638*s**2 - 420*s - 72 = 0. What is s?
-6, -1/2, -2/7
Solve h**3/5 - 31*h**2/5 - 4*h/5 + 124/5 = 0 for h.
-2, 2, 31
Suppose -3*n**2 + 60*n - 192 = 0. What is n?
4, 16
Solve -2*g**4/5 - 54*g**3/5 + 58*g**2/5 + 54*g/5 - 56/5 = 0 for g.
-28, -1, 1
Find v such that 4*v**3/3 - 40*v**2/3 = 0.
0, 10
Factor -13*v**2/4 - 1965*v/4 - 151/2.
-(v + 151)*(13*v + 2)/4
Factor 5*g**5 + 135*g**4 - 140*g**3.
5*g**3*(g - 1)*(g + 28)
Determine u so that -2*u**5/3 + 206*u**4 + 1868*u**3/3 + 416*u**2 = 0.
-2, -1, 0, 312
Suppose 3*x**3 - 6*x**2 - 12*x + 24 = 0. What is x?
-2, 2
Suppose h**2/5 + 48*h/5 + 47/5 = 0. Calculate h.
-47, -1
Factor 7*s**5 - 100*s**4 - 308*s**3 - 254*s**2 - 19*s + 34.
(s - 17)*(s + 1)**3*(7*s - 2)
What is d in 3*d**4 + 39*d**3 - 306*d**2 + 660*d - 456 = 0?
-19, 2
Factor f**4 + 2*f**3 - 3*f**2 - 4*f + 4.
(f - 1)**2*(f + 2)**2
Factor -2*a**2 - 2196*a - 4384.
-2*(a + 2)*(a + 1096)
What is o in -2*o**4/7 - 270*o**3/7 + 2836*o**2/7 - 9216*o/7 + 9280/7 = 0?
-145, 2, 4
Factor -i**2/8 - 181*i/2 - 32761/2.
-(i + 362)**2/8
Factor 2*t**4/3 - 16*t**3/3 - 35*t**2/6 - 3*t/2.
t*(t - 9)*(2*t + 1)**2/6
Solve -4*j**2/7 - 2616*j/7 = 0 for j.
-654, 0
Factor 21*w**4 + 372*w**3 + 249*w**2 - 102*w.
3*w*(w + 1)*(w + 17)*(7*w - 2)
Suppose 2*f**2/9 + 2060*f/3 + 530450 = 0. What is f?
-1545
Find h, given that h**5/2 - 5*h**4 + 12*h**3 - 11*h**2 + 7*h/2 = 0.
0, 1, 7
Determine x, given that -3*x**2 + 543*x + 546 = 0.
-1, 182
Factor 3*q**3 - 1308*q**2 + 142572*q.
3*q*(q - 218)**2
Let -3*k**4 +