hat is w?
-2, 4
Determine h so that -h**3/7 - 26*h**2/7 + 27*h/7 = 0.
-27, 0, 1
Factor 49*v**4/3 - 7*v**3 - 122*v**2/3 - 20*v - 8/3.
(v - 2)*(v + 1)*(7*v + 2)**2/3
Solve -v**5 - 718*v**4 - 128161*v**3 + 258480*v**2 - 129600*v = 0 for v.
-360, 0, 1
Factor -i**3/5 + 4*i**2/5 + 21*i/5.
-i*(i - 7)*(i + 3)/5
Let -3*k**4/4 - 57*k**3/4 - 135*k**2/2 - 54*k = 0. Calculate k.
-12, -6, -1, 0
Solve 5*d**3 - 105*d**2 + 360*d - 340 = 0 for d.
2, 17
Factor 5*p**2 + 180*p + 1620.
5*(p + 18)**2
Solve 2*u**2/3 + 308*u/3 + 11858/3 = 0 for u.
-77
Factor -10*c**4/13 + 18*c**3/13 - 8*c**2/13.
-2*c**2*(c - 1)*(5*c - 4)/13
Determine n so that 146*n**3/9 + 436*n**2/9 + 286*n/9 - 4/9 = 0.
-2, -1, 1/73
Factor 4*c**2/7 + 64*c + 880/7.
4*(c + 2)*(c + 110)/7
Find l, given that 4*l**2 + 1308*l + 2600 = 0.
-325, -2
Solve -4*t**2/9 + 3512*t/9 - 3508/9 = 0.
1, 877
Determine g so that 2*g**4/7 + 32*g**3/7 + 22*g**2 + 220*g/7 + 96/7 = 0.
-8, -6, -1
Factor -3*l**4 + 60*l**3 + 63*l**2.
-3*l**2*(l - 21)*(l + 1)
Factor 8*x**4 - 90*x**3 - 314*x**2 + 84*x.
2*x*(x - 14)*(x + 3)*(4*x - 1)
Factor 2*c**2/11 + 168*c/11 + 3528/11.
2*(c + 42)**2/11
Solve 4*a**3/9 + 32*a**2 + 768*a + 6144 = 0.
-24
Factor 5*o**4/7 - 142*o**3/7 - 409*o**2/7 + 186*o/7.
o*(o - 31)*(o + 3)*(5*o - 2)/7
Factor -h**2/3 - 8*h/3 - 4.
-(h + 2)*(h + 6)/3
Factor -2*f**3 + 6*f + 4.
-2*(f - 2)*(f + 1)**2
Solve 4*b**4/7 + 58*b**3/7 + 240*b**2/7 + 38*b + 80/7 = 0 for b.
-8, -5, -1, -1/2
Factor a**2/5 - 16*a + 320.
(a - 40)**2/5
Let 33*g**5/5 + 303*g**4/5 + 57*g**3 - 51*g**2 - 318*g/5 - 48/5 = 0. What is g?
-8, -1, -2/11, 1
Determine v, given that 2*v**5/17 - 4*v**4/17 - 6*v**3/17 + 8*v**2/17 + 8*v/17 = 0.
-1, 0, 2
Factor a**4/2 + 25*a**3 + 286*a**2 - 676*a.
a*(a - 2)*(a + 26)**2/2
Factor -4*d**3 + 532*d**2 - 17952*d + 17424.
-4*(d - 66)**2*(d - 1)
Factor -2*u**3/13 - 12*u**2/13 + 14*u/13.
-2*u*(u - 1)*(u + 7)/13
Factor -2*i**3/7 - 410*i**2/7 - 21216*i/7 - 20808/7.
-2*(i + 1)*(i + 102)**2/7
Factor 3*k**2/8 - 33*k/4 - 837/8.
3*(k - 31)*(k + 9)/8
Find n, given that -5*n**2 + 560*n - 1635 = 0.
3, 109
Factor -2*h**4 - 440*h**3 + 1334*h**2 - 892*h.
-2*h*(h - 2)*(h - 1)*(h + 223)
Factor 27*t**3 - 3555*t**2 - 4776*t - 1596.
3*(t - 133)*(3*t + 2)**2
Determine d so that -4*d**2 + 6792*d + 6796 = 0.
-1, 1699
Factor f**3 + 16*f**2/3 + 5*f/3.
f*(f + 5)*(3*f + 1)/3
Factor -h**2/5 - 2*h/5.
-h*(h + 2)/5
Find f such that -f**2 + 1670*f - 697225 = 0.
835
Factor 4*x**5 - 159*x**4 - 40*x**3.
x**3*(x - 40)*(4*x + 1)
Suppose 2*m**3/9 + 4*m**2/9 = 0. What is m?
-2, 0
Solve -q**3 + 2*q**2 + 32*q - 96 = 0.
-6, 4
Let -5*t**4/2 + 253*t**3/6 - 283*t**2/3 - 2290*t/3 - 100 = 0. Calculate t.
-3, -2/15, 10
Factor -3*c**4/8 + 24*c**3 + 393*c**2/8 + 99*c/4.
-3*c*(c - 66)*(c + 1)**2/8
Factor 4*v**2 - 48*v - 112.
4*(v - 14)*(v + 2)
Suppose -3*a**3/2 - 321*a**2/2 = 0. Calculate a.
-107, 0
Solve 556*d**2 - 568*d + 12 = 0.
3/139, 1
Solve 16*q**4 + 8*q**3 - 207*q**2 - 297*q - 108 = 0.
-3, -3/4, 4
Let s**5/2 - 15*s**4/2 + 83*s**3/2 - 209*s**2/2 + 120*s - 50 = 0. What is s?
1, 2, 5
Suppose -5*o**2 + 1335*o - 1330 = 0. What is o?
1, 266
Let -2*h**2/13 + 20*h/13 - 18/13 = 0. Calculate h.
1, 9
Suppose 2*o**4/13 + 16*o**3/13 - 40*o**2/13 = 0. Calculate o.
-10, 0, 2
Let -c**3 - 216*c**2 - 3645*c - 16038 = 0. Calculate c.
-198, -9
Factor -5*p**4 - 280*p**3 + 290*p**2 + 280*p - 285.
-5*(p - 1)**2*(p + 1)*(p + 57)
Find f such that -3*f**3 - 21*f**2 - 12*f + 36 = 0.
-6, -2, 1
Factor 12*x**2 + 2*x/13.
2*x*(78*x + 1)/13
Factor 4*b**2 - 2824*b + 498436.
4*(b - 353)**2
Find x such that 5*x**3 - 65*x**2 - 70*x = 0.
-1, 0, 14
Factor o**5 - 2*o**4 + o**3.
o**3*(o - 1)**2
What is k in -4*k**2 + 112*k = 0?
0, 28
Factor -9*p**2 + 390*p - 861.
-3*(p - 41)*(3*p - 7)
Find r, given that -2*r**5 + 32*r**4 + 36*r**3 - 32*r**2 - 34*r = 0.
-1, 0, 1, 17
Factor -6889*j**2 - 664*j - 16.
-(83*j + 4)**2
Factor 15*n**4 + 115*n**3 + 200*n**2 - 80*n.
5*n*(n + 4)**2*(3*n - 1)
Suppose -52*b**3/7 - 14*b**2 + 12*b/7 = 0. Calculate b.
-2, 0, 3/26
Factor q**3/4 + 3*q**2/4 - 11*q/2 - 6.
(q - 4)*(q + 1)*(q + 6)/4
Factor -4*l**2 - 768*l - 36864.
-4*(l + 96)**2
Factor -2*l**5/7 + 138*l**4/7 + 20*l**3.
-2*l**3*(l - 70)*(l + 1)/7
Determine o so that -2*o**4/3 - 416*o**3/3 - 138*o**2 = 0.
-207, -1, 0
Let -5*q**5 + 60*q**4 - 265*q**3 + 530*q**2 - 480*q + 160 = 0. What is q?
1, 2, 4
Suppose -2*x**5/3 + 26*x**4/3 - 14*x**3 - 26*x**2/3 + 44*x/3 = 0. Calculate x.
-1, 0, 1, 2, 11
Factor -2*t**2/7 - 8*t/7 - 6/7.
-2*(t + 1)*(t + 3)/7
Suppose 3*i**5 + 24*i**4 - 96*i**3 + 42*i**2 + 93*i - 66 = 0. What is i?
-11, -1, 1, 2
Factor -2*b**3 + 34*b**2 + 2*b - 34.
-2*(b - 17)*(b - 1)*(b + 1)
Find c such that 4*c**5/7 + 116*c**4/7 + 996*c**3/7 + 2236*c**2/7 + 1352*c/7 = 0.
-13, -2, -1, 0
Factor 4*x**2 + 52*x - 360.
4*(x - 5)*(x + 18)
Solve 2166*w**5/7 - 11818*w**4/7 + 10436*w**3/7 + 8376*w**2/7 + 1360*w/7 + 64/7 = 0.
-1/3, -2/19, 2, 4
Factor 2580992*c**2 + 4544*c + 2.
2*(1136*c + 1)**2
Determine u so that 3*u**2/2 - 4377*u/2 - 6579 = 0.
-3, 1462
Determine g so that g**3/4 + 953*g**2 + 7621*g/4 + 1905/2 = 0.
-3810, -1
Find g such that -2*g**2/5 + 3304*g/5 - 1364552/5 = 0.
826
Factor o**2 + 6*o - 7.
(o - 1)*(o + 7)
Find i such that -3*i**2/2 - 363*i/2 - 357 = 0.
-119, -2
Factor -3*r**2 + 1884*r + 9495.
-3*(r - 633)*(r + 5)
Solve -4*w**4/3 + 28*w**3/3 + 68*w**2/3 + 12*w = 0.
-1, 0, 9
Find w such that 35*w**2 - 5225*w + 1490 = 0.
2/7, 149
Determine v, given that v**3/10 - 43*v**2/10 - 9*v = 0.
-2, 0, 45
Determine m, given that 4*m**3 + 36*m**2 - 4*m - 36 = 0.
-9, -1, 1
What is v in -2*v**2/3 - 64*v/3 - 40 = 0?
-30, -2
Solve -v**4 - 48*v**3 - 45*v**2 + 94*v = 0 for v.
-47, -2, 0, 1
Suppose -h**2/2 - 6*h - 27/2 = 0. Calculate h.
-9, -3
Factor -3*i**4 + 9*i**3 + 48*i**2 + 36*i.
-3*i*(i - 6)*(i + 1)*(i + 2)
Factor -39*r**2/2 - 157*r - 8.
-(r + 8)*(39*r + 2)/2
Factor 558009*b**4 - 2233530*b**3 + 2238013*b**2 - 5980*b + 4.
(b - 2)**2*(747*b - 1)**2
Factor 2*u**4 - 3*u**3 - 2*u**2.
u**2*(u - 2)*(2*u + 1)
Factor -3*x**2 + 1143*x.
-3*x*(x - 381)
Factor -4*y**2 - 8*y + 60.
-4*(y - 3)*(y + 5)
Let 3*l**4/2 + 9*l**3/2 - 6*l**2 = 0. What is l?
-4, 0, 1
Solve 4*v**5 - 616*v**4 + 23084*v**3 + 49288*v**2 - 23088*v - 48672 = 0 for v.
-2, -1, 1, 78
Factor -4*p**4 + 624*p**3 - 25552*p**2 + 94848*p - 92416.
-4*(p - 76)**2*(p - 2)**2
Factor 3*n**3 - 21*n**2 - 1107*n - 6075.
3*(n - 25)*(n + 9)**2
Factor -2*f**4/9 + 14*f**3/9 - 8*f**2/9 - 8*f/3.
-2*f*(f - 6)*(f - 2)*(f + 1)/9
Determine d so that 2*d**3 - 72*d**2 + 264*d - 256 = 0.
2, 32
Let r**4 + 47*r**3 = 0. Calculate r.
-47, 0
Solve 28*w**3/15 + 38*w**2/5 - 328*w/15 - 8/5 = 0 for w.
-6, -1/14, 2
Factor -3*d**2 - 303*d + 936.
-3*(d - 3)*(d + 104)
Let 4*p**4 + 164*p**3 + 604*p**2 + 444*p = 0. Calculate p.
-37, -3, -1, 0
Determine m, given that -m**3/6 - 7*m**2/6 - 5*m/2 - 3/2 = 0.
-3, -1
Determine n, given that -4*n**4 + 32*n**3 - 80*n**2 + 64*n = 0.
0, 2, 4
Suppose 5*b**4 - 65*b**3 + 240*b**2 - 180*b = 0. Calculate b.
0, 1, 6
Let -3*x**2/7 - 132*x/7 - 585/7 = 0. What is x?
-39, -5
Suppose 1125*g**3 - 10*g**2 - 1125*g + 10 = 0. What is g?
-1, 2/225, 1
Suppose 5*r**4 - 5*r**3 - 810*r**2 + 3680*r + 4480 = 0. Calculate r.
-14, -1, 8
Suppose -2*y**3 - 8*y**2 + 56*y - 64 = 0. Calculate y.
-8, 2
Factor v**2/5 + 454*v/5 - 91.
(v - 1)*(v + 455)/5
Let 14*o**5/3 + 366*o**4/5 + 2548*o**3/15 + 456*o**2/5 + 208*o/15 = 0. Calculate o.
-13, -2, -2/5, -2/7, 0
Solve -2*b**2/15 - 22*b/15 - 16/5 = 0 for b.
-8, -3
Find j such that 5*j**2 - 230*j + 440 = 0.
2, 44
Solve f**2/4 - 544*f + 295936 = 0 for f.
1088
Let -72*o**5 - 45942*o**4 - 95486*o**3 - 54696*o**2 + 8*o + 5088 = 0. Calculate o.
-636, -1, -2/3, 1/4
Determine a, given that -5*a**3 + 45*a**2 + 5*a - 45 = 0.
-1, 1, 9
Factor -2*x**2/3 - 546*x - 1636/3.
-2*(x + 1)*(x + 818)/3
Find n, given that -n**4/6 - 16*n**3/3 + 33*n**2 + 244*n/3 + 259/6 = 0.
-37, -1, 7
Factor -10*a**3/7 - 2*a**2 - 4*a/7.
-2*a*(a + 1)*(5*a + 2)/7
Factor 3*t**2 + 186*t.
3*t*(t + 62)
Find x, given that 2*x**2/13 - 2326*x/13 - 2328/13 = 0.
-1, 1164
Let -2*a**3/9 + 80*a**2/9 + 254*a/9 + 172/9 = 0. Calculate a.
-2, -1, 43
Factor 2*s**2/7 + 298*s/7 - 300/7.
2*(s - 1)*(s + 150)/7
Factor i**3/4 - 151*i**2/4 + 37*i + 75.
(i - 150)*(i - 2)*(i + 1)/4
What is b in 4*b**5 + 244*b**4 + 2092*b**3 + 2412*b**2 - 1