 0.
-1, 1/3, 47
Determine g so that -2*g**4 + 2*g**3 + 2*g**2 - 2*g = 0.
-1, 0, 1
Suppose -z**2/3 - 30*z - 675 = 0. What is z?
-45
Factor -4*t**2 - 1048*t + 1052.
-4*(t - 1)*(t + 263)
Factor 3*j**4/2 + 3*j**3 - 33*j**2/2 - 18*j + 54.
3*(j - 2)**2*(j + 3)**2/2
Factor 5*h**4 + 70*h**3 + 125*h**2 + 60*h.
5*h*(h + 1)**2*(h + 12)
Solve -l**4 - 15*l**3 + 18*l**2 + 32*l = 0.
-16, -1, 0, 2
Factor -c**5 - 21*c**4 - 74*c**3 + 384*c**2 - 288*c.
-c*(c - 2)*(c - 1)*(c + 12)**2
Let -5*j**3 + 73*j**2 - 190*j - 88 = 0. Calculate j.
-2/5, 4, 11
Solve -3*f**4/8 - 33*f**3/8 - 99*f**2/8 - 111*f/8 - 21/4 = 0.
-7, -2, -1
Solve j**2/3 + 2*j/3 - 1 = 0 for j.
-3, 1
Factor -2*n**3/9 - 14*n**2/9 + 16*n/9.
-2*n*(n - 1)*(n + 8)/9
Solve 3*i**4 + 102*i**3 - 216*i**2 = 0 for i.
-36, 0, 2
Factor -3*j**3/7 + 507*j**2/7 - 21165*j/7 - 21675/7.
-3*(j - 85)**2*(j + 1)/7
Factor 12*x**3 + 33*x**2 + 15*x - 6.
3*(x + 1)*(x + 2)*(4*x - 1)
Let 3*n**4 - 18*n**3 + 24*n**2 = 0. What is n?
0, 2, 4
Determine a, given that -2*a**2 - 3012*a = 0.
-1506, 0
Let -9*k**5/4 + 347*k**4 + 3913*k**3/4 + 472*k**2 - 157*k = 0. Calculate k.
-2, -1, 0, 2/9, 157
Determine w so that 5*w**4 - 15*w**3 - 45*w**2 + 135*w = 0.
-3, 0, 3
Factor -2*c**4/13 + 4*c**2/13 - 2/13.
-2*(c - 1)**2*(c + 1)**2/13
What is y in 8*y**4/3 + 70*y**3/3 - 98*y**2/3 + 20*y/3 = 0?
-10, 0, 1/4, 1
Factor 2*s**3/15 + 4*s**2/15 - 26*s/5 + 48/5.
2*(s - 3)**2*(s + 8)/15
What is k in 5*k**4 - 260*k**3 + 750*k**2 - 740*k + 245 = 0?
1, 49
Factor y**2 + 52*y + 51.
(y + 1)*(y + 51)
Find q, given that 4*q**4/3 + 32*q**3 - 5984*q**2 - 924800*q/3 - 4087616 = 0.
-34, 78
Determine l, given that 4*l**2/3 + 52*l/3 + 40 = 0.
-10, -3
Factor v**3/5 + 1617*v**2/5 - 3238*v/5.
v*(v - 2)*(v + 1619)/5
Suppose -a**2/2 + 57*a = 0. What is a?
0, 114
Solve -4*a**3 - 206*a**2/3 + 182*a/3 + 12 = 0.
-18, -1/6, 1
Solve -18*f**5 - 1137*f**4 - 22800*f**3 - 119592*f**2 + 499488*f - 319440 = 0.
-22, 5/6, 2
Solve -t**5 - 19*t**4/3 - 136*t**3/9 - 152*t**2/9 - 80*t/9 - 16/9 = 0 for t.
-2, -1, -2/3
Solve 3*o**4/4 + 3*o**3/4 - 27*o**2/4 - 27*o/4 = 0 for o.
-3, -1, 0, 3
Find p, given that -3*p**5 + 12*p**4 + 21*p**3 - 102*p**2 + 72*p = 0.
-3, 0, 1, 2, 4
Let -3*o**2 - 2238*o - 417387 = 0. Calculate o.
-373
Determine v so that 7*v**3 + 79*v**2 + 190*v + 48 = 0.
-8, -3, -2/7
Factor 2*t**4/9 + 2*t**3/3 - 32*t**2/9 + 8*t/3.
2*t*(t - 2)*(t - 1)*(t + 6)/9
Let -1331*v**4 - 1089*v**3 - 297*v**2 - 27*v = 0. What is v?
-3/11, 0
Determine t so that 7*t**3/4 + 275*t**2/4 - 201*t - 63 = 0.
-42, -2/7, 3
Find k such that 5*k**2/4 - 1595*k/4 - 1605/2 = 0.
-2, 321
Factor -n**2 + 15*n - 36.
-(n - 12)*(n - 3)
Factor 3*b**3/2 + 33*b**2/2 + 39*b + 24.
3*(b + 1)*(b + 2)*(b + 8)/2
Factor -3*d**3/8 + 87*d**2/8 + 159*d/4 - 120.
-3*(d - 32)*(d - 2)*(d + 5)/8
Determine k so that 3*k**4/2 - 9*k**3/2 - 2025*k**2/2 + 2037*k/2 + 2025 = 0.
-25, -1, 2, 27
Determine n so that 5*n**5 + 15*n**4 + 10*n**3 - 10*n**2 - 15*n - 5 = 0.
-1, 1
Factor -1587*k**4/2 - 17664*k**3 - 100581*k**2 - 25344*k - 3267/2.
-3*(k + 11)**2*(23*k + 3)**2/2
Factor 2*y**2/3 - 242*y/3 + 460.
2*(y - 115)*(y - 6)/3
What is q in 5*q**4 + 50*q**3 + 120*q**2 + 110*q + 35 = 0?
-7, -1
Suppose 16*a**5/9 + 248*a**4/3 + 41*a**3 + 46*a**2/9 = 0. What is a?
-46, -1/4, 0
Suppose -50*m**3/9 - 16040*m**2/9 - 12808*m/9 - 2560/9 = 0. What is m?
-320, -2/5
Solve 3*p**3 - 9*p**2 = 0 for p.
0, 3
Suppose r**4/5 + 74*r**3/5 + 213*r**2/5 = 0. What is r?
-71, -3, 0
Determine i, given that i**3/6 + 5*i**2/6 + i = 0.
-3, -2, 0
Suppose 2*n**4/13 + 86*n**3/13 + 966*n**2/13 + 882*n/13 = 0. Calculate n.
-21, -1, 0
Determine c so that 196*c**2 + 420*c + 225 = 0.
-15/14
Factor 5*i**2/6 - 50*i - 310/3.
5*(i - 62)*(i + 2)/6
Factor -2*b**2/7 + 4*b/7 + 30/7.
-2*(b - 5)*(b + 3)/7
Find s, given that 6*s**3 - 327*s**2 - 1209*s - 522 = 0.
-3, -1/2, 58
Factor -5*r**2 - 1700*r - 144500.
-5*(r + 170)**2
Suppose -3*v**2 + 300*v + 303 = 0. What is v?
-1, 101
Factor 2*i**2/5 - 264*i/5.
2*i*(i - 132)/5
Factor 2*n**2/9 + 80*n/9 + 350/9.
2*(n + 5)*(n + 35)/9
Suppose 5*z**2 + 60*z + 100 = 0. Calculate z.
-10, -2
Factor -2*y**2/7 - 6*y/7 + 20.
-2*(y - 7)*(y + 10)/7
Suppose -2*a**2/7 - 46*a/7 = 0. Calculate a.
-23, 0
Factor -4*n**3 + 32*n**2 + 124*n + 88.
-4*(n - 11)*(n + 1)*(n + 2)
Factor i**4 - 195*i**3 + 12675*i**2 - 274625*i.
i*(i - 65)**3
Factor -k**5 + 6*k**4 + 12*k**3 - 88*k**2 + 96*k.
-k*(k - 6)*(k - 2)**2*(k + 4)
Solve 84*j**4 - 248*j**3 - 20*j**2 + 24*j = 0 for j.
-1/3, 0, 2/7, 3
Determine u, given that -3*u**5 + 132*u**4 - 1977*u**3 + 10668*u**2 - 8820*u = 0.
0, 1, 14, 15
Determine f so that -5*f**3 - 210*f**2 - 780*f - 760 = 0.
-38, -2
Let -3*r**4 - 123*r**3 - 117*r**2 + 123*r + 120 = 0. What is r?
-40, -1, 1
Factor -2*f**3 - 718*f**2 - 716*f.
-2*f*(f + 1)*(f + 358)
Suppose 2*x**4/3 - 22*x**3/3 - 62*x**2/3 + 118*x/3 + 52 = 0. Calculate x.
-3, -1, 2, 13
Suppose 4*s**4 + 184*s**3 - 208*s**2 - 952*s - 564 = 0. What is s?
-47, -1, 3
Solve -2*p**4/5 + 112*p**3 - 38628*p**2/5 - 81216*p/5 + 119286/5 = 0 for p.
-3, 1, 141
Suppose -11*q**2 - 426*q - 304 = 0. What is q?
-38, -8/11
Factor -3*c**2/5 + 576*c/5 + 579/5.
-3*(c - 193)*(c + 1)/5
Let 2*z**4 + 52*z**3 + 98*z**2 + 48*z = 0. What is z?
-24, -1, 0
What is l in -l**5/6 - 4*l**4 + l**3/3 + 8*l**2 - l/6 - 4 = 0?
-24, -1, 1
Factor -12*t**3 + 136*t**2 - 164*t + 40.
-4*(t - 10)*(t - 1)*(3*t - 1)
Factor a**5 + 453*a**4 + 5340*a**3 + 21232*a**2 + 28224*a.
a*(a + 4)**3*(a + 441)
Suppose -18*i**5/5 + 2034*i**4 - 1441576*i**3/5 + 1426912*i**2/5 + 640704*i/5 - 636192/5 = 0. What is i?
-2/3, 2/3, 1, 282
Factor 5*p**5 + 14*p**4 + 7*p**3 - 2*p**2.
p**2*(p + 1)*(p + 2)*(5*p - 1)
Solve -2*z**3/15 + 14*z**2/15 - 24/5 = 0.
-2, 3, 6
Factor -4*p**4 + 992*p**3 - 66264*p**2 + 590240*p - 1416100.
-4*(p - 119)**2*(p - 5)**2
What is d in 3*d**3/5 + 132*d**2/5 + 492*d/5 + 96 = 0?
-40, -2
Let -3869089*q**2 + 15736*q - 16 = 0. Calculate q.
4/1967
Determine z so that z**3/3 + 757*z**2/3 + 145136*z/3 + 706880/3 = 0.
-376, -5
Factor -r**2 + 1350*r - 455625.
-(r - 675)**2
Factor 1224*t**2 - 24*t + 2/17.
2*(102*t - 1)**2/17
Factor -3*j**2 + 321*j - 630.
-3*(j - 105)*(j - 2)
Factor k**4/2 - 5*k**3/4 - 7*k**2/4 + 9*k/4 + 9/4.
(k - 3)*(k + 1)**2*(2*k - 3)/4
Let -5*m**4 + 565*m**3 - 21645*m**2 + 294335*m - 506530 = 0. What is m?
2, 37
Factor 1444*k**2 + 2432*k + 1024.
4*(19*k + 16)**2
Solve -3*n**3 + 3*n**2 + 15*n + 9 = 0 for n.
-1, 3
Find m, given that 3*m**3 - 804*m**2 + 57663*m - 499230 = 0.
10, 129
Solve -3*k**2 - 402*k - 13467 = 0 for k.
-67
Factor -2*y**2/11 - 710*y/11 + 1428/11.
-2*(y - 2)*(y + 357)/11
Factor 5*f**3 - 930*f**2 + 42300*f + 88360.
5*(f - 94)**2*(f + 2)
Solve -504*x**2 - 166*x - 12 = 0.
-2/9, -3/28
Factor w**3 - 34*w**2 + 33*w.
w*(w - 33)*(w - 1)
Suppose 12*v**3 - 279*v**2 - 219*v + 72 = 0. Calculate v.
-1, 1/4, 24
Factor -4*z**3 + 76*z**2 + 80*z.
-4*z*(z - 20)*(z + 1)
Factor 10*m**3/3 - 565*m**2/3 + 815*m/3 + 550/3.
5*(m - 55)*(m - 2)*(2*m + 1)/3
Factor 3*i**2/5 - 153*i - 768/5.
3*(i - 256)*(i + 1)/5
Find y such that y**2/3 - 548*y/3 + 75076/3 = 0.
274
Find o such that 28*o**4 - 2288*o**3 - 684*o**2 + 2288*o + 656 = 0.
-1, -2/7, 1, 82
Factor -99*b**3/4 + 546*b**2 - 12111*b/4 + 363/2.
-3*(b - 11)**2*(33*b - 2)/4
Determine m, given that 3*m**5/7 + 21*m**4 + 2295*m**3/7 + 9537*m**2/7 - 29478*m/7 = 0.
-17, 0, 2
Factor -2*g**3 + 120*g**2 - 1800*g.
-2*g*(g - 30)**2
What is y in -2*y**5 + 62*y**4 - 478*y**3 - 542*y**2 + 8160*y - 7200 = 0?
-4, 1, 4, 15
Let -18*u**3/5 - 178*u**2/5 + 44*u = 0. Calculate u.
-11, 0, 10/9
Factor 3*m**4 + 78*m**3 + 576*m**2 + 864*m.
3*m*(m + 2)*(m + 12)**2
Factor 4*l**3 - 48*l**2 - 940*l - 1656.
4*(l - 23)*(l + 2)*(l + 9)
What is m in -2*m**2 - 3518*m + 3520 = 0?
-1760, 1
What is b in -3*b**4 + 16*b**3 - 17*b**2 + 4*b = 0?
0, 1/3, 1, 4
Factor -2*v**3 + 24*v**2 + 120*v + 128.
-2*(v - 16)*(v + 2)**2
Solve -45*s**2 - 2240*s + 500 = 0.
-50, 2/9
Factor 2*f**3 + 3*f**2 - 11*f - 6.
(f - 2)*(f + 3)*(2*f + 1)
Suppose -3*h**3/2 - 153*h**2 - 4050*h - 7500 = 0. Calculate h.
-50, -2
Determine m, given that 5*m**3 + 30*m**2 + 45*m + 20 = 0.
-4, -1
Find l such that -l**3 + 6*l**2 + 135*l + 400 = 0.
-5, 16
Solve -14*v**4 + 46*v**3 - 156*v**2/7 - 320*v/7 + 256/7 = 0 for v.
-1, 8/7, 2
Factor -5*f**4 + 20*f**3 - 15*f**2.
-5*f**2*(f - 3)*(f - 1)
