
-814, 0, 1
Suppose -2*u**5/7 - 4*u**4 - 150*u**3/7 - 388*u**2/7 - 488*u/7 - 240/7 = 0. Calculate u.
-5, -3, -2
What is z in -3*z**4/2 + 9*z**3/2 - 3*z**2 = 0?
0, 1, 2
Solve 2*b**5/3 + 52*b**4/9 + 10*b**3 - 20*b**2/3 - 136*b/9 + 16/3 = 0 for b.
-6, -2, 1/3, 1
Let c**2/3 - 111*c = 0. What is c?
0, 333
Factor -5*l**4 - 5*l**3 + 15*l**2 + 25*l + 10.
-5*(l - 2)*(l + 1)**3
Find c, given that -145*c**2 + 2875*c + 500 = 0.
-5/29, 20
Factor 10*y**3 - 65*y**2 + 30*y.
5*y*(y - 6)*(2*y - 1)
Factor 7*k**4/6 + 20*k**3/3 + 23*k**2/6 - 5*k/3.
k*(k + 1)*(k + 5)*(7*k - 2)/6
Solve -3*l**3 - 135*l**2 - 600*l = 0 for l.
-40, -5, 0
What is v in 2*v**2/7 + 34*v/7 - 228 = 0?
-38, 21
Factor 5*n**4 + 65*n**3 + 200*n**2 + 180*n.
5*n*(n + 2)**2*(n + 9)
Factor -o**3/4 - 45*o**2/2 - 87*o - 86.
-(o + 2)**2*(o + 86)/4
Factor -5*d**4 + 10*d**3 - 10*d + 5.
-5*(d - 1)**3*(d + 1)
Find x, given that 250*x**3 + 310*x**2 + 318*x/5 + 18/5 = 0.
-1, -3/25
Factor -2*s**4/9 - 8*s**3/9 - 10*s**2/9 - 4*s/9.
-2*s*(s + 1)**2*(s + 2)/9
Factor 5*a**4 - 40*a**3 + 65*a**2 + 150*a - 360.
5*(a - 4)*(a - 3)**2*(a + 2)
Suppose -4*k**2 - 16*k + 1008 = 0. Calculate k.
-18, 14
Find a such that -2*a**3 + 184*a**2 - 182*a = 0.
0, 1, 91
Suppose -2*u**4 + 50*u**3 - 46*u**2 - 50*u + 48 = 0. Calculate u.
-1, 1, 24
Let -3*c**2/4 - 117*c/4 + 405/2 = 0. Calculate c.
-45, 6
Let -12*f**4 + 112*f**3 - 116*f**2 - 112*f + 128 = 0. What is f?
-1, 1, 4/3, 8
Suppose 30*s**5 + 189*s**4 + 324*s**3 + 201*s**2 + 36*s = 0. What is s?
-4, -1, -3/10, 0
Find d, given that 2*d**4/11 - 46*d**3/11 + 196*d**2/11 - 296*d/11 + 144/11 = 0.
1, 2, 18
Determine r so that -3*r**3/2 + 3*r**2 + 33*r/2 - 18 = 0.
-3, 1, 4
What is h in -2*h**3/15 + 148*h**2/15 + 616*h/15 + 208/5 = 0?
-2, 78
Factor -2*p**3/5 - 186*p**2/5 - 4416*p/5 - 4232/5.
-2*(p + 1)*(p + 46)**2/5
Factor s**2/2 - 3149*s + 9916201/2.
(s - 3149)**2/2
What is t in -21*t**5/5 + 36*t**4/5 + 57*t**3 + 288*t**2/5 + 12*t = 0?
-2, -1, -2/7, 0, 5
Factor t**3 + 7*t**2 + 10*t.
t*(t + 2)*(t + 5)
Suppose -b**4/6 + 10*b**3/3 - 24*b**2 + 72*b - 72 = 0. Calculate b.
2, 6
Determine h so that 2*h**5/15 + 58*h**4/15 + 92*h**3/5 - 64*h**2/15 - 1472*h/15 = 0.
-23, -4, 0, 2
Suppose 4*d**3 + 100*d**2 + 184*d = 0. Calculate d.
-23, -2, 0
Determine q so that 4*q**5 + 1620*q**4 - 3256*q**3 + 8*q**2 + 3252*q - 1628 = 0.
-407, -1, 1
Factor -3*r**2.
-3*r**2
Let -i**2/2 - i/2 + 6 = 0. Calculate i.
-4, 3
Find n such that -10*n**4 - 101*n**3 + 97*n**2 - 22*n = 0.
-11, 0, 2/5, 1/2
Factor -a**4/4 + 51*a**3/4 + 68*a**2 + 111*a + 56.
-(a - 56)*(a + 1)*(a + 2)**2/4
Factor 2*h**3 - 58*h**2 + 542*h - 1638.
2*(h - 13)*(h - 9)*(h - 7)
Determine x so that 2*x**2/11 - 4*x - 46/11 = 0.
-1, 23
Factor -z**4 - 91*z**3 - 2790*z**2 - 29700*z - 27000.
-(z + 1)*(z + 30)**3
Factor -4*o**4 + 52*o**3 - 72*o**2 - 1296*o + 4320.
-4*(o - 6)**3*(o + 5)
Factor -2*r**4/3 + 58*r**3/3 + 256*r**2/3 + 88*r.
-2*r*(r - 33)*(r + 2)**2/3
Factor 2*y**5/13 - 46*y**4/13 + 420*y**3/13 - 1900*y**2/13 + 4250*y/13 - 3750/13.
2*(y - 5)**4*(y - 3)/13
Determine w so that 207*w**4 - 1605*w**3 + 1518*w**2 - 120*w = 0.
0, 2/23, 1, 20/3
Find o such that -240*o**3 + 1415*o**2 - 2010*o - 225 = 0.
-5/48, 3
Factor -3*x**2 + 2022*x - 340707.
-3*(x - 337)**2
Solve m**4/6 - m**3 + 11*m**2/6 - m = 0 for m.
0, 1, 2, 3
Factor -2*j**3/7 - 618*j**2/7 + 1242*j/7 - 622/7.
-2*(j - 1)**2*(j + 311)/7
What is o in -4*o**5 + 37*o**4 - 81*o**3 + 18*o**2 = 0?
0, 1/4, 3, 6
Factor 5*z**2 + 1135*z.
5*z*(z + 227)
Determine w so that -25*w**2 - 7840*w + 3140 = 0.
-314, 2/5
Let 2*x**5/5 + 4*x**4 + 48*x**3/5 + 44*x**2/5 + 14*x/5 = 0. Calculate x.
-7, -1, 0
Factor 2*i**2/7 - 24*i + 504.
2*(i - 42)**2/7
Factor 3*o**2/2 - 141*o - 873/2.
3*(o - 97)*(o + 3)/2
Let 5*p**5/4 - 16*p**4 - 79*p**3/2 - 26*p**2 - 15*p/4 = 0. What is p?
-1, -1/5, 0, 15
Suppose -15*u**5 - 15205*u**4 + 20355*u**3 + 55745*u**2 - 81180*u + 20300 = 0. Calculate u.
-1015, -2, 1/3, 1, 2
Factor 4*h**2 + 508*h + 1000.
4*(h + 2)*(h + 125)
Factor -6*x**5/7 - 16*x**4/7 - 2*x**3 - 4*x**2/7.
-2*x**2*(x + 1)**2*(3*x + 2)/7
Suppose -p**2/5 + 95*p - 1416/5 = 0. Calculate p.
3, 472
Find b, given that b**4/5 - b**3 - 3*b**2/5 + 9*b - 54/5 = 0.
-3, 2, 3
Solve -3*m**3 - 468*m**2 - 8460*m - 40800 = 0.
-136, -10
Solve -u**4 + 12*u**3 - 50*u**2 + 84*u - 45 = 0 for u.
1, 3, 5
Factor -3*v**2/7 + 156*v/7 - 1665/7.
-3*(v - 37)*(v - 15)/7
Factor -2*q**2 + 62*q - 116.
-2*(q - 29)*(q - 2)
Factor 12*w**4 - 8*w**3 - 108*w**2 + 72*w.
4*w*(w - 3)*(w + 3)*(3*w - 2)
Factor m**3 + 49*m**2/3 - 88*m/3 + 12.
(m - 1)*(m + 18)*(3*m - 2)/3
Factor 34058896*n**3 - 33988864*n**2 - 69996*n - 36.
4*(n - 1)*(2918*n + 3)**2
Suppose -8*o**4 + 2*o**3 + 8*o**2 - 2*o = 0. What is o?
-1, 0, 1/4, 1
What is q in q**5/3 + 38*q**4/3 + 317*q**3/3 - 920*q**2/3 - 400*q = 0?
-20, -1, 0, 3
What is z in 5*z**4 - 495*z**3 + 11970*z**2 + 15500*z - 75000 = 0?
-3, 2, 50
Solve -6*b**3/5 - 138*b**2/5 - 372*b/5 - 48 = 0 for b.
-20, -2, -1
Suppose m**5 + 5*m**4/2 - 3*m**3/2 - 4*m**2 + 2*m = 0. What is m?
-2, 0, 1/2, 1
Suppose -4*m**4 + 8*m**3 + 128*m**2 - 384*m = 0. What is m?
-6, 0, 4
Suppose 5*d**2 - 85*d + 80 = 0. Calculate d.
1, 16
Factor -3*c**2/5 + 1548*c/5 - 199692/5.
-3*(c - 258)**2/5
Find w, given that w**3/6 - 5*w**2/6 - w = 0.
-1, 0, 6
Let -u**5 - 9*u**4 + 4*u**3 + 36*u**2 = 0. Calculate u.
-9, -2, 0, 2
Factor -2*s**5/3 - 8*s**4/3 + 4*s**3/3 + 8*s**2 - 6*s.
-2*s*(s - 1)**2*(s + 3)**2/3
Let -162*b**4/11 + 612*b**3 - 68426*b**2/11 - 2856*b - 3528/11 = 0. Calculate b.
-2/9, 21
Solve -3*r**5 - 6*r**4 + 60*r**3 + 66*r**2 - 57*r - 60 = 0 for r.
-5, -1, 1, 4
Determine g so that -2*g**4/11 - 144*g**3/11 + 150*g**2/11 + 292*g/11 = 0.
-73, -1, 0, 2
Factor -4*w**3 - 4*w**2 + 32*w + 48.
-4*(w - 3)*(w + 2)**2
What is f in -3*f**2/8 + 471*f/4 - 939/8 = 0?
1, 313
Factor 5*i**5 - 30*i**4 - 620*i**3 - 2610*i**2 - 4185*i - 2160.
5*(i - 16)*(i + 1)*(i + 3)**3
Find u, given that 2*u**5 - 4*u**4 - 12*u**3 + 40*u**2 - 38*u + 12 = 0.
-3, 1, 2
Factor i**2/2 - 49*i + 656.
(i - 82)*(i - 16)/2
Determine r so that 4*r**5/7 - 152*r**4/7 + 1444*r**3/7 = 0.
0, 19
Determine x so that 2*x**4/7 - 152*x**3/7 + 1254*x**2/7 - 3256*x/7 + 2680/7 = 0.
2, 5, 67
Factor 5*i**4 + 45*i**3 + 10*i**2 - 420*i + 360.
5*(i - 2)*(i - 1)*(i + 6)**2
Solve 3*w**3/7 - 48*w**2/7 + 33*w - 42 = 0.
2, 7
What is l in 9*l**3/2 + 95*l**2 + 201*l/2 + 10 = 0?
-20, -1, -1/9
Let -54*v**5 - 255*v**4 - 432*v**3 - 327*v**2 - 108*v - 12 = 0. What is v?
-2, -1, -1/2, -2/9
Find p, given that 4*p**5 - 57*p**4/2 + 127*p**3/2 - 87*p**2/2 + 9*p/2 = 0.
0, 1/8, 1, 3
Determine c so that c**3/11 + 906*c**2/11 - c/11 - 906/11 = 0.
-906, -1, 1
Determine t so that -3*t**4 - 174*t**3 - 156*t**2 + 846*t - 513 = 0.
-57, -3, 1
Factor -s**3 + 3*s**2 + 97*s - 99.
-(s - 11)*(s - 1)*(s + 9)
Factor -2*o**4/7 + 26*o**3/7 - 108*o**2/7 + 184*o/7 - 16.
-2*(o - 7)*(o - 2)**3/7
Factor 75*w**4 - 5040*w**3 + 92352*w**2 - 258048*w + 196608.
3*(w - 32)**2*(5*w - 8)**2
Factor g**2/2 - 128*g - 257/2.
(g - 257)*(g + 1)/2
Determine u, given that 5*u**4 + 670*u**3 + 1325*u**2 + 660*u = 0.
-132, -1, 0
Factor 31*y**2/4 - 15*y/2 - 1/4.
(y - 1)*(31*y + 1)/4
Solve p**4 + 11*p**3 - 72*p**2 + 124*p - 64 = 0.
-16, 1, 2
Factor 10*x**5 + 25*x**4 + 15*x**3.
5*x**3*(x + 1)*(2*x + 3)
Solve -70*t**3/9 - 206*t**2/9 + 712*t/9 - 40/9 = 0.
-5, 2/35, 2
Suppose 32*x**2/3 + 1264*x/3 + 12482/3 = 0. What is x?
-79/4
Let 5*g**2 + 150*g - 495 = 0. Calculate g.
-33, 3
Factor -q**2/8 - 5*q + 21/2.
-(q - 2)*(q + 42)/8
Determine b, given that -4*b**2 - 88*b + 92 = 0.
-23, 1
Factor -v**3/6 - 452*v**2/3 - 102152*v/3.
-v*(v + 452)**2/6
Determine u so that 28*u**5 - 260*u**4 + 716*u**3 - 604*u**2 + 120*u = 0.
0, 2/7, 1, 3, 5
Factor k**3/2 + 37*k**2 + 145*k/2 + 36.
(k + 1)**2*(k + 72)/2
What is z in -6*z**4 + 113*z**3 + 403*z**2 + 328*z + 44 = 0?
-2, -1, -1/6, 22
Factor 3*t**4 + 9*t**3 - 9*t**2 - 21*t + 18.
3*(t - 1)**2*(t + 2)*(t + 3)
Solve i**4 + 542*i**3 + 73440*i**2 - 542*i - 73441 = 0 for i.
-271, -1, 1
Factor -3*l**3 - 873*l**2 - 84681*l - 2738019.
-3*(l + 97)**3
Factor -5*x**4 + 175*x**3 + 15*x**2 - 535*x + 350.
-5*(x - 35)*(x - 1)**2*(x + 2)
Suppose x**4/5 - 32*x**3/5 + 348*x**2/5 - 288*x + 1728/5 = 0. Calculate x.
2, 6, 12
Solve 5*g**5 - 105*g**4 - 470*g**3 - 730*g**2 - 495*g - 125 = 0.
-1, 25
Let 