 0 for f.
-2, -1, -2/7, 1
Determine h, given that 3*h**2/5 - 2688*h/5 + 602112/5 = 0.
448
Factor -3*f**2 + 54*f - 243.
-3*(f - 9)**2
Factor 2*f**4/3 + 10*f**3/3 + 4*f**2 - 8*f/3 - 16/3.
2*(f - 1)*(f + 2)**3/3
Find s such that -3*s**3/4 + 69*s**2/4 = 0.
0, 23
Solve 30*p**5 + 75*p**4 + 231*p**3/5 - 57*p**2/5 - 57*p/5 + 6/5 = 0.
-1, 1/10, 2/5
Solve -2*l**5/13 + 12*l**4/13 + 120*l**3/13 + 272*l**2/13 + 192*l/13 = 0.
-2, 0, 12
Suppose 85*n**3 - 40*n**2 = 0. Calculate n.
0, 8/17
Factor 4*n**3 + 148*n**2 + 1064*n + 1568.
4*(n + 2)*(n + 7)*(n + 28)
Let 23*h**4 - 48*h**3 - 180*h**2 + 16*h = 0. What is h?
-2, 0, 2/23, 4
Factor -14*a**3/5 - 16*a**2/5 + 14*a/5 + 16/5.
-2*(a - 1)*(a + 1)*(7*a + 8)/5
Factor -2*w**2/7 + 8*w - 56.
-2*(w - 14)**2/7
Suppose 2*r**5/9 + 18*r**4 + 1468*r**3/9 + 3388*r**2/9 - 490*r/3 - 3550/9 = 0. Calculate r.
-71, -5, -1, 1
Suppose 744131042*u**2 + 154312*u + 8 = 0. What is u?
-2/19289
Let 3*n**3/2 + 4497*n**2/2 + 1687497*n/2 + 1683003/2 = 0. Calculate n.
-749, -1
Factor 9*n**2/5 + 5331*n/5 + 1776/5.
3*(n + 592)*(3*n + 1)/5
Factor z**4/7 - z**3/7 - 86*z**2/7 + 276*z/7 + 360/7.
(z - 6)**2*(z + 1)*(z + 10)/7
Determine w, given that -25*w**3 + 45*w**2 - 24*w + 4 = 0.
2/5, 1
Let 135*y**5/8 - 417*y**4/4 + 807*y**3/8 - 6*y**2 - 15*y/2 = 0. What is y?
-2/9, 0, 2/5, 1, 5
Factor -2*l**4/7 + 96*l**2/7 - 256*l/7.
-2*l*(l - 4)**2*(l + 8)/7
Factor q**3/4 - 7*q/4 - 3/2.
(q - 3)*(q + 1)*(q + 2)/4
Factor -6*m**3/11 - 204*m**2/11 + 426*m/11 - 216/11.
-6*(m - 1)**2*(m + 36)/11
Find s, given that 81*s**5 - 126*s**4 - 797*s**3 + 1126*s**2 + 612*s + 72 = 0.
-3, -2/9, 2, 3
Factor -5*n**4 + 3395*n**3 - 571175*n**2 - 1744215*n.
-5*n*(n - 341)**2*(n + 3)
Factor 6*h**3/5 + 72*h**2/5 + 174*h/5 + 108/5.
6*(h + 1)*(h + 2)*(h + 9)/5
Determine s, given that 2*s**2/21 - 10*s/21 - 100/7 = 0.
-10, 15
Solve 12*p**5/7 + 212*p**4/7 + 1044*p**3/7 + 180*p**2 + 176*p/7 - 240/7 = 0 for p.
-10, -6, -1, 1/3
Solve -42*f**3 - 100*f**2 - 24*f + 16 = 0.
-2, -2/3, 2/7
Factor f**4/5 + 3*f**3/5 - 4*f**2/5.
f**2*(f - 1)*(f + 4)/5
Find d such that -5*d**2 - 22*d - 8 = 0.
-4, -2/5
Find n such that -n**4/6 + 3*n**3/2 + 23*n**2/6 - 3*n/2 - 11/3 = 0.
-2, -1, 1, 11
Suppose 3*h**2 - 198*h - 621 = 0. What is h?
-3, 69
Factor -2*u**4/3 + 13*u**3/6 - 11*u**2/6 + u/3.
-u*(u - 2)*(u - 1)*(4*u - 1)/6
Let 3*q**2 + 147*q + 144 = 0. What is q?
-48, -1
Suppose -50*k**2/17 - 20*k/17 - 2/17 = 0. Calculate k.
-1/5
Determine t so that -t**3/9 + 2*t**2/3 - 11*t/9 + 2/3 = 0.
1, 2, 3
Factor -y**4 - 229*y**3 - 7770*y**2 - 68000*y + 76000.
-(y - 1)*(y + 20)**2*(y + 190)
Factor -10*m**3 - 2265*m**2 - 3365*m + 2250.
-5*(m + 2)*(m + 225)*(2*m - 1)
What is j in 2*j**4/23 + 84*j**3/23 - 174*j**2/23 + 88*j/23 = 0?
-44, 0, 1
Solve 3*t**5/8 + 27*t**4/8 + 39*t**3/4 + 51*t**2/4 + 63*t/8 + 15/8 = 0 for t.
-5, -1
Factor 15*v**2 + 823*v - 110.
(v + 55)*(15*v - 2)
Factor -4*i**3 - 556*i**2 - 4192*i.
-4*i*(i + 8)*(i + 131)
Factor 2*y**2/9 - 8*y/3 + 22/9.
2*(y - 11)*(y - 1)/9
Factor 5*c**3 + 295*c**2 - 605*c + 305.
5*(c - 1)**2*(c + 61)
Find c, given that -2*c**3 - 54*c**2 - 390*c - 338 = 0.
-13, -1
What is n in 92*n**5/3 + 248*n**4 + 696*n**3 + 2384*n**2/3 + 340*n + 24 = 0?
-3, -1, -2/23
Factor -147*v**3/2 - 144*v**2 - 135*v/2 + 3.
-3*(v + 1)**2*(49*v - 2)/2
Factor f**5/5 - 92*f**4/5 + 2788*f**3/5 - 26722*f**2/5 - 35557*f/5 + 59582/5.
(f - 31)**3*(f - 1)*(f + 2)/5
Factor -a**5 + 11*a**4 - 15*a**3 - 31*a**2 + 32*a + 36.
-(a - 9)*(a - 2)**2*(a + 1)**2
Factor 2*l**4 + 8*l**3 - 2*l**2 - 8*l.
2*l*(l - 1)*(l + 1)*(l + 4)
Determine j so that 2*j**4/3 - 64*j**3/5 + 218*j**2/15 - 12*j/5 = 0.
0, 1/5, 1, 18
Solve -8*t**5 - 3814*t**4 - 10446*t**3 - 8534*t**2 - 946*t + 948 = 0.
-474, -1, 1/4
What is v in 5*v**2 + 1105*v = 0?
-221, 0
Factor -z**4 - 40*z**3 + 97*z**2 + 11704*z - 11760.
-(z - 15)*(z - 1)*(z + 28)**2
Find i such that 3*i**2 - 189*i - 192 = 0.
-1, 64
Factor -5*o**3 + 1390*o**2 - 6845*o + 5460.
-5*(o - 273)*(o - 4)*(o - 1)
Factor -3*j**5 - 327*j**4 - 12846*j**3 - 213246*j**2 - 1323135*j - 2695275.
-3*(j + 5)**2*(j + 33)**3
Factor -5*z**2 + 160*z + 4500.
-5*(z - 50)*(z + 18)
Suppose 4*c**5 + 40*c**4 + 112*c**3 + 24*c**2 - 180*c = 0. What is c?
-5, -3, 0, 1
Factor 3*o**2/7 - 123*o/7 + 120/7.
3*(o - 40)*(o - 1)/7
Let -5*f**4 - 345*f**3 - 665*f**2 + 345*f + 670 = 0. Calculate f.
-67, -2, -1, 1
Factor 2*a**2/23 + 66*a/23 - 860/23.
2*(a - 10)*(a + 43)/23
Factor x**2/3 + 26*x/3 + 35.
(x + 5)*(x + 21)/3
Factor p**2/8 + 1297*p/4 + 1682209/8.
(p + 1297)**2/8
Factor 3*m**4 - 756*m**3 + 71442*m**2 - 3000564*m + 47258883.
3*(m - 63)**4
Determine z, given that 147*z**5 - 5943*z**4 + 31554*z**3 + 19500*z**2 + 2856*z = 0.
-2/7, 0, 7, 34
What is i in 7*i**5/2 + 19*i**4/2 - 38*i**3 + 10*i**2 = 0?
-5, 0, 2/7, 2
Find u such that 5*u**5 - 50*u**4 + 40*u**3 + 50*u**2 - 45*u = 0.
-1, 0, 1, 9
Solve 2*i**2/7 + 424*i/7 + 22472/7 = 0.
-106
Factor -4*l**4 - 28*l**3 + 160*l**2 - 176*l.
-4*l*(l - 2)**2*(l + 11)
Find f such that 12*f**5 - 4*f**4 - 116*f**3 - 204*f**2 - 136*f - 32 = 0.
-1, -2/3, 4
Factor 3*t**5 - 648*t**4 + 34992*t**3.
3*t**3*(t - 108)**2
Factor b**2/4 + 207*b/2 + 42849/4.
(b + 207)**2/4
Find t such that 2*t**4 - 12*t**3/5 - 8*t**2/5 + 12*t/5 - 2/5 = 0.
-1, 1/5, 1
Suppose -2*f**2/5 - 6496*f/5 - 5274752/5 = 0. Calculate f.
-1624
Determine g, given that 2*g**2 - 76*g + 722 = 0.
19
Solve 21*v**2 + 2745*v - 786 = 0.
-131, 2/7
Find w, given that 4*w**4 - 16*w**3 + 12*w**2 + 16*w - 16 = 0.
-1, 1, 2
Solve 4*l**4 + 36*l**3 - 312*l**2 + 688*l - 480 = 0 for l.
-15, 2
Determine s, given that 8*s**4/7 + 4*s**3/7 - 8*s**2/7 - 4*s/7 = 0.
-1, -1/2, 0, 1
Factor p**5/5 + 3*p**4/5 - 6*p**3/5 - 8*p**2/5.
p**2*(p - 2)*(p + 1)*(p + 4)/5
Factor a**5/3 + a**4 - 2*a**3 - 8*a**2/3.
a**2*(a - 2)*(a + 1)*(a + 4)/3
Determine t so that t**4 - 7*t**3 - 7*t**2 + 55*t - 42 = 0.
-3, 1, 2, 7
Factor -2*c**2 + 460*c - 2688.
-2*(c - 224)*(c - 6)
Factor v**3 - 17*v**2 + 44*v - 28.
(v - 14)*(v - 2)*(v - 1)
Let -4*l**4 + 708*l**3 + 2876*l**2 + 3612*l + 1448 = 0. What is l?
-2, -1, 181
What is q in q**3/5 - 31*q**2/5 - 4*q/5 + 124/5 = 0?
-2, 2, 31
Solve 93*b**4/4 - 933*b**3/4 + 1503*b**2/2 - 768*b + 24 = 0 for b.
1/31, 2, 4
What is j in -2*j**5/13 - 100*j**4/13 + 24*j**3 - 316*j**2/13 + 106*j/13 = 0?
-53, 0, 1
Suppose -2*z**2/3 + 2420*z/3 - 732050/3 = 0. What is z?
605
Determine w so that -18*w**2/11 + 1634*w/11 + 364/11 = 0.
-2/9, 91
Let 3*p**2 - 48*p - 171 = 0. Calculate p.
-3, 19
Factor u**2/7 + 293*u/7 - 42.
(u - 1)*(u + 294)/7
Find f, given that -4*f**2/7 - 48*f/7 = 0.
-12, 0
Find t, given that -3*t**3 - 15*t**2 + 66*t - 48 = 0.
-8, 1, 2
Solve -10*f**4/17 + 256*f**3/17 + 1264*f**2/17 + 1664*f/17 + 480/17 = 0.
-2, -2/5, 30
Find b such that -2*b**5 + 22*b**4 + 6*b**3 - 62*b**2 - 44*b = 0.
-1, 0, 2, 11
Factor 2*i**2/5 + 242*i/5 - 816.
2*(i - 15)*(i + 136)/5
Determine s, given that 2*s**2 + 110*s = 0.
-55, 0
Let 27*b**3/2 - 51*b**2 + 176*b/3 - 64/3 = 0. Calculate b.
8/9, 2
Factor 285*t**2/2 - 110*t + 10.
5*(3*t - 2)*(19*t - 2)/2
Determine o, given that 4*o**5 - 104*o**4 + 368*o**3 - 352*o**2 = 0.
0, 2, 22
Factor 2*x**3/9 + 110*x**2/9 + 174*x + 162.
2*(x + 1)*(x + 27)**2/9
Find r, given that r**5/6 - 4*r**4/3 + 11*r**3/3 - 4*r**2 + 3*r/2 = 0.
0, 1, 3
Let -2*o**3/13 - 2*o**2/13 + 66*o/13 - 126/13 = 0. Calculate o.
-7, 3
Factor -v**3 - 10*v**2 + 52*v - 56.
-(v - 2)**2*(v + 14)
Determine n, given that -13*n**4/2 + 27*n**3 + 473*n**2/2 - 297*n + 40 = 0.
-5, 2/13, 1, 8
Determine f, given that 6*f**2 - 71*f + 34 = 0.
1/2, 34/3
Factor 2*q**3 + 422*q**2 - 850*q + 426.
2*(q - 1)**2*(q + 213)
Determine c, given that -2*c**2 + 528*c - 2080 = 0.
4, 260
Suppose 2*u**3 + 2*u**2 - 560*u - 3800 = 0. Calculate u.
-10, 19
Let 5*k**4/4 - 215*k**2/4 - 375*k/2 - 180 = 0. Calculate k.
-3, -2, 8
Solve -12*x**5 + 14320*x**4 - 4772*x**3 = 0 for x.
0, 1/3, 1193
What is v in 3*v**2/4 + 126*v - 255 = 0?
-170, 2
Factor 14*b**4 + 36*b**3 + 30*b**2 + 8*b.
2*b*(b + 1)**2*(7*b + 4)
Solve 3*a**4/7 + 78*a**3/7 + 639*a**2/7 + 1716*a/7 + 1452/7 = 0 for a.
-11, -2
Solve 3*l**3 - 432*l**2 + 4095*l - 10050 = 0 for l.
5, 134
What is g in g**5/8 - 2211*g**4/8 + 1629507*g**3/8 - 400315553*g**2/8 = 0?
0, 737
Solve -40*j**5/13 + 706*j**4/13 - 1726*j**3/13 - 4700*j**2/13 + 3512*j/13 - 560/13 = 0.
-2, 1/4, 2/5, 5, 14
D