4/5 - 2*y**3 + 36*y**2/5 - 54*y/5 + 27/5 = 0.
1, 3
Suppose 3*m**5/4 + 48*m**4 - 399*m**3/4 - 48*m**2 + 99*m = 0. What is m?
-66, -1, 0, 1, 2
Solve -c**2/3 - 113*c/3 + 230/3 = 0 for c.
-115, 2
Solve -24*o**5 + 16*o**4 + 94*o**3 - 64*o**2 + 8*o = 0 for o.
-2, 0, 1/6, 1/2, 2
Let 21*d**4/5 + 216*d**3/5 + 249*d**2/5 + 54*d/5 = 0. Calculate d.
-9, -1, -2/7, 0
Factor k**3/2 + 141*k**2/2 + 5175*k/2 + 14283/2.
(k + 3)*(k + 69)**2/2
Factor -5*z**2 - 90*z - 160.
-5*(z + 2)*(z + 16)
Suppose -k**3/6 - 37*k**2/6 - 6*k = 0. Calculate k.
-36, -1, 0
Factor -5*h**2 - 160*h.
-5*h*(h + 32)
Factor -8*m**3/7 + 250*m**2/7 - 62*m/7.
-2*m*(m - 31)*(4*m - 1)/7
Factor 4*c**4 + 48*c**3 - 56*c**2 - 48*c + 52.
4*(c - 1)**2*(c + 1)*(c + 13)
Factor -q**4/2 + 467*q**3/4 - 6786*q**2 - 13689*q/4.
-q*(q - 117)**2*(2*q + 1)/4
Find z, given that 2*z**2 - 5542*z - 11092 = 0.
-2, 2773
Factor -l**3 + 201*l**2 - 13467*l + 300763.
-(l - 67)**3
Factor 11*j**2/3 + 838*j/3 + 152/3.
(j + 76)*(11*j + 2)/3
Factor 2*c**4/17 - 56*c**3/17 + 264*c**2/17 + 1792*c/17 + 2048/17.
2*(c - 16)**2*(c + 2)**2/17
Determine v, given that -2*v**4/9 + 4*v**3/3 + 2*v**2 - 28*v/9 = 0.
-2, 0, 1, 7
Factor -4*n**2 + 108*n + 640.
-4*(n - 32)*(n + 5)
Find i such that -5*i**2 + 255*i - 250 = 0.
1, 50
Factor 2*g**3/5 - 76*g**2/5 - 418*g/5 - 516/5.
2*(g - 43)*(g + 2)*(g + 3)/5
Factor -p**4 + 5*p**3 + p**2 - 17*p - 12.
-(p - 4)*(p - 3)*(p + 1)**2
Factor -28*b**4 - 248*b**3 - 412*b**2 - 192*b.
-4*b*(b + 1)**2*(7*b + 48)
Let 4*s**2/5 + 128*s - 644/5 = 0. Calculate s.
-161, 1
Factor -2*g**3/15 - 16*g**2/5 + 32*g - 1024/15.
-2*(g - 4)**2*(g + 32)/15
Find q such that -3*q**4 + 414*q**3 - 13863*q**2 - 28980*q - 14700 = 0.
-1, 70
Factor 3*y**2 + 77*y - 26.
(y + 26)*(3*y - 1)
Factor -b**4/6 - 1022*b**3/3 - 261121*b**2 - 266865662*b/3 - 68184176641/6.
-(b + 511)**4/6
Determine g, given that -4*g**5/5 + 16*g**4 + 172*g**3/5 + 88*g**2/5 = 0.
-1, 0, 22
Factor 4*s**4 - 568*s**3 + 18996*s**2 + 82928*s + 85264.
4*(s - 73)**2*(s + 2)**2
Factor 2*m**4 - 524*m**3 + 34842*m**2 - 68120*m + 33800.
2*(m - 130)**2*(m - 1)**2
Factor -j**2/4 - 146*j.
-j*(j + 584)/4
Factor -1760*k**2 + 1755*k + 5.
-5*(k - 1)*(352*k + 1)
Suppose -5*b**4 + 55*b**3 - 95*b**2 + 45*b = 0. Calculate b.
0, 1, 9
Let -2*j**5 - 8*j**4 - 6*j**3 + 8*j**2 + 8*j = 0. What is j?
-2, -1, 0, 1
Suppose 3*s**3 - 54*s**2 + 243*s = 0. Calculate s.
0, 9
Solve 2*n**2 - 298*n - 2844 = 0.
-9, 158
Determine m, given that 5*m**5/4 + 55*m**4/4 - 285*m**3/4 + 245*m**2/4 + 70*m - 75 = 0.
-15, -1, 1, 2
Factor -2*s**3/3 + 232*s**2 + 466*s + 700/3.
-2*(s - 350)*(s + 1)**2/3
Solve -2*c**2/5 + 162*c/5 + 164/5 = 0.
-1, 82
Factor i**4/8 - 5*i**3/4 + 2*i**2.
i**2*(i - 8)*(i - 2)/8
What is i in -i**3/3 + i**2 - 2*i/3 = 0?
0, 1, 2
What is k in 2*k**5/5 + 368*k**4/5 + 3530*k**3 + 66604*k**2/5 + 16344*k + 6480 = 0?
-90, -2, -1
Solve 2*n**3/3 + 50*n**2/3 + 16*n = 0 for n.
-24, -1, 0
Factor l**5 + 3*l**4 - 4*l**3.
l**3*(l - 1)*(l + 4)
What is m in -14*m**4/17 + 114*m**3/17 - 202*m**2/17 - 114*m/17 + 216/17 = 0?
-1, 1, 3, 36/7
Find v such that -v**2/4 - 1171*v/2 - 1371241/4 = 0.
-1171
Solve -z**4/7 - 2*z**3/7 - z**2/7 = 0 for z.
-1, 0
Factor o**5 + 23*o**4 - 305*o**3 + 825*o**2.
o**2*(o - 5)**2*(o + 33)
Suppose -q**4/9 + 40*q**3/9 - 413*q**2/9 + 710*q/9 - 112/3 = 0. What is q?
1, 14, 24
Suppose -5*q**5 + 30*q**4 + 25*q**3 - 150*q**2 - 20*q + 120 = 0. What is q?
-2, -1, 1, 2, 6
Factor -5*f**4 + 300*f**3 - 5670*f**2 + 26460*f + 138915.
-5*(f - 21)**3*(f + 3)
Solve 14*r**4 - 87*r**3 + 186*r**2 - 148*r + 24 = 0.
3/14, 2
Let -2*r**2/7 - 50*r/7 - 228/7 = 0. What is r?
-19, -6
Factor 75*h**2/4 + 81*h/4 + 3/2.
3*(h + 1)*(25*h + 2)/4
Factor -3*n**3/4 - 15*n**2/4 - 9*n/2.
-3*n*(n + 2)*(n + 3)/4
Solve -x**2 + 1452*x - 527076 = 0 for x.
726
Find p, given that -3*p**3 + 15*p**2 - 24*p + 12 = 0.
1, 2
What is q in 2*q**2 - 10*q - 1092 = 0?
-21, 26
Solve 4*f**3/3 + 11354*f**2/3 + 2686640*f + 1342374 = 0.
-1419, -1/2
What is u in u**4/3 + 7*u**3/3 - 18*u**2 - 448*u/3 - 640/3 = 0?
-8, -5, -2, 8
Suppose -3*x**3/2 + 3*x**2 + 9*x/2 = 0. Calculate x.
-1, 0, 3
Factor 4*t**4 - 12*t**2 + 8*t.
4*t*(t - 1)**2*(t + 2)
Factor 67*h**3 - h**2.
h**2*(67*h - 1)
Suppose 2*v**2/13 + 166*v/13 + 164/13 = 0. What is v?
-82, -1
Factor -2*p**5/15 + 2*p**4 - 88*p**3/15.
-2*p**3*(p - 11)*(p - 4)/15
Determine k so that -3*k**3/5 - 63*k**2/5 - 48*k + 756/5 = 0.
-14, -9, 2
Factor -5*q**4 + 2500*q**3 - 420750*q**2 + 24502500*q - 112303125.
-5*(q - 165)**3*(q - 5)
Factor -26*j**3/7 + 48*j**2/7 - 18*j/7 - 4/7.
-2*(j - 1)**2*(13*j + 2)/7
Factor b**5 + 158*b**4 + 2145*b**3.
b**3*(b + 15)*(b + 143)
What is b in 4*b**5 - 32*b**3 + 24*b**2 + 28*b - 24 = 0?
-3, -1, 1, 2
Factor -9*k**2/4 + 4093*k/4 + 455/2.
-(k - 455)*(9*k + 2)/4
What is l in -2*l**4 + 17*l**3 + 77*l**2 + 82*l + 24 = 0?
-2, -1, -1/2, 12
Factor 5*u**2/2 - 59*u - 24.
(u - 24)*(5*u + 2)/2
Factor -5*y**3/2 - 35*y**2/2 + 5*y/2 + 35/2.
-5*(y - 1)*(y + 1)*(y + 7)/2
What is c in -60*c**4/7 + 26*c**3 + 534*c**2/7 + 282*c/7 - 10/7 = 0?
-1, 1/30, 5
Determine m so that -3*m**4 + 3*m**3 + 60*m**2 = 0.
-4, 0, 5
Factor 2*q**2/13 - 30*q/13 + 72/13.
2*(q - 12)*(q - 3)/13
Factor -n**3 + 1278*n**2 - 408321*n.
-n*(n - 639)**2
Factor 2*w**3/5 - 4*w**2.
2*w**2*(w - 10)/5
Factor -p**4/6 - 17*p**3/3 - 421*p**2/6 - 374*p - 726.
-(p + 6)**2*(p + 11)**2/6
What is g in -3*g**2/2 + 999*g - 1995/2 = 0?
1, 665
Factor -f**3 + 299*f**2/2 - 74*f - 149/2.
-(f - 149)*(f - 1)*(2*f + 1)/2
Determine x so that 3*x**4/2 - 210*x**3 + 9729*x**2 - 145794*x - 311469/2 = 0.
-1, 47
Factor j**4/7 + 4*j**3/7 - 19*j**2/7 + 2*j.
j*(j - 2)*(j - 1)*(j + 7)/7
Let -p**2/4 - 65*p/2 - 129/4 = 0. What is p?
-129, -1
Solve z**2 + 25*z - 54 = 0 for z.
-27, 2
Solve -y**3/5 - 21*y**2/5 - 99*y/5 + 121/5 = 0.
-11, 1
Suppose -2*t**3/13 - 6*t**2/13 + 8/13 = 0. What is t?
-2, 1
Suppose 4*r**2 - 1148*r + 1144 = 0. Calculate r.
1, 286
Factor -2*c**2/11 + 38*c/11 - 36/11.
-2*(c - 18)*(c - 1)/11
Let y**4/2 + 3*y**3/2 - 5*y**2/2 - 3*y/2 + 2 = 0. What is y?
-4, -1, 1
Determine c so that -2*c**4/21 - 76*c**3/7 - 3166*c**2/21 - 140*c = 0.
-98, -15, -1, 0
Solve i**4 - 7*i**2 - 6*i = 0.
-2, -1, 0, 3
Find r, given that -2*r**4 + 330*r**3 - 20328*r**2 + 553696*r - 5622144 = 0.
33, 44
Determine v so that 4*v**5 + 62*v**4/5 - 774*v**3/5 - 1738*v**2/5 - 1006*v/5 - 84/5 = 0.
-7, -1, -1/10, 6
Suppose -h**4 + 95*h**3 - 2976*h**2 + 29696*h + 32768 = 0. Calculate h.
-1, 32
Determine t so that 2*t**3 + 22*t**2 + 76*t + 80 = 0.
-5, -4, -2
Factor -3*f**2 - 12*f.
-3*f*(f + 4)
Factor -b**4/5 + b**3/5 + 7*b**2/5 - 13*b/5 + 6/5.
-(b - 2)*(b - 1)**2*(b + 3)/5
Factor -3*k**2 - 87*k + 510.
-3*(k - 5)*(k + 34)
Factor 2*o**3/13 + 82*o**2/13 - 452*o/13 + 368/13.
2*(o - 4)*(o - 1)*(o + 46)/13
Factor 2*b**4/5 + 8*b**3/5 - 42*b**2/5.
2*b**2*(b - 3)*(b + 7)/5
Determine n so that 20*n**2 - 3465*n + 865 = 0.
1/4, 173
Factor 3*l**3/2 - 324*l**2 + 19800*l - 240000.
3*(l - 100)**2*(l - 16)/2
Let -14*u**5/11 + 2412*u**4/11 - 12476*u**3/11 + 19776*u**2/11 - 11702*u/11 + 2004/11 = 0. Calculate u.
2/7, 1, 3, 167
Factor 2*h**2/11 - 126*h/11.
2*h*(h - 63)/11
Factor 2*c**4/7 - 46*c**3/7 + 286*c**2/7 - 242*c/7.
2*c*(c - 11)**2*(c - 1)/7
Factor -150*f**3 + 235*f**2 - 95*f + 10.
-5*(f - 1)*(5*f - 2)*(6*f - 1)
Factor -2*t**3/7 + 32*t**2/7 + 18*t/7 - 288/7.
-2*(t - 16)*(t - 3)*(t + 3)/7
Suppose 2*p**3/7 + 716*p**2/7 - 2162*p/7 + 1444/7 = 0. What is p?
-361, 1, 2
Factor -2*n**3/15 + 86*n**2/15 - 224*n/5 - 384.
-2*(n - 24)**2*(n + 5)/15
Factor 2*o**3/3 + 38*o**2/3 + 70*o/3 + 34/3.
2*(o + 1)**2*(o + 17)/3
Find z such that z**5/9 + 11*z**4/3 + 31*z**3/9 - 11*z**2/3 - 32*z/9 = 0.
-32, -1, 0, 1
Factor s**4 - 147*s**2 + 686*s.
s*(s - 7)**2*(s + 14)
Factor -4*h**3 + 4560*h**2 + 4564*h.
-4*h*(h - 1141)*(h + 1)
Let -2*a**4 + 14*a**3 - 36*a**2 + 40*a - 16 = 0. What is a?
1, 2
Determine j so that 16*j**4/5 + 44*j**3/5 - 6*j**2/5 - 44*j/5 - 2 = 0.
-5/2, -1, -1/4, 1
Factor 2*d**2/3 + 184*d/3 - 5290/3.
2*(d - 23)*(d + 115)/3
Factor 3*f**3 - 19*f**2 + 22*f + 24.
(f - 4)*(f - 3)*(3*f + 2)
Let -i**2 - 386*i - 37249 = 0. What is i?
-193
Factor 2*s**4/3 + 652*s**3/3 + 53138*s**2/3.
2*s**2*(s + 163)**2/3
Factor 2*l**4 - 18*l**3 + 40*l**2 - 24*l.
2*l*(l - 6)*(l - 2)*(l - 1)
Factor -2*d**3 - 72*d**2 + 582*d - 860.
-2*(d - 5)*(d 