3*d**3 + 91*d**2 + 93*d - 92.
(d - 92)*(d - 1)**2*(d + 1)
Factor -4*h**4 - 8*h**3 + 48*h**2 - 56*h + 20.
-4*(h - 1)**3*(h + 5)
Factor -4*p**4 + 4*p**3 + 8*p**2.
-4*p**2*(p - 2)*(p + 1)
Factor -3*h**2/4 + 6*h - 12.
-3*(h - 4)**2/4
Let -2*f**3/7 + 6*f**2/7 - 8/7 = 0. Calculate f.
-1, 2
Factor -v**2/4 - 51*v/4 + 13.
-(v - 1)*(v + 52)/4
What is s in -s**5/4 + 3*s**4/2 - 7*s**3/4 - 3*s**2/2 + 2*s = 0?
-1, 0, 1, 2, 4
Factor 2*j**4/5 + 52*j**3/5 + 142*j**2/5 + 92*j/5.
2*j*(j + 1)*(j + 2)*(j + 23)/5
Let 3*i**5 + 411*i**4 + 14280*i**3 + 13872*i**2 = 0. Calculate i.
-68, -1, 0
Solve 5*g**4/3 - 6*g**3 - 11*g**2 - 10*g/3 = 0 for g.
-1, -2/5, 0, 5
Factor o**3/2 - 287*o**2/2 + 571*o/2 - 285/2.
(o - 285)*(o - 1)**2/2
Find c, given that -4*c**3 + 24*c**2 + 244*c - 264 = 0.
-6, 1, 11
Factor 5*q**3 - 95*q**2 + 250*q - 160.
5*(q - 16)*(q - 2)*(q - 1)
Factor p**3/6 + 10*p**2/3 + 127*p/6 + 42.
(p + 4)*(p + 7)*(p + 9)/6
Let 2*u**4 + 8*u**3 - 32*u - 32 = 0. Calculate u.
-2, 2
Factor -2*a**4/9 + 2*a**3/9 + 4*a**2/3.
-2*a**2*(a - 3)*(a + 2)/9
Find o such that 3*o**2/4 + 21*o/4 = 0.
-7, 0
Factor 3*k**2 - 378*k + 11907.
3*(k - 63)**2
Suppose 4*b**3 + 11796*b**2 + 11595468*b + 3799448348 = 0. Calculate b.
-983
Determine x, given that -2*x**4/3 + 4*x**3/3 + 8*x**2 - 12*x - 18 = 0.
-3, -1, 3
Let 2*j**2/5 - 164*j/5 + 3362/5 = 0. What is j?
41
Find m, given that -8*m**3/5 + 572*m**2/5 - 2016*m - 5184/5 = 0.
-1/2, 36
Let -3*o**4 - 60*o**3 - 162*o**2 - 156*o - 51 = 0. Calculate o.
-17, -1
Factor 4*t**4 - 112*t**3 + 528*t**2 + 3584*t + 4096.
4*(t - 16)**2*(t + 2)**2
Find o such that 2*o**5/15 - 44*o**4/15 + 176*o**3/15 + 268*o**2/15 - 178*o/15 - 224/15 = 0.
-1, 1, 7, 16
Factor -508*r**3 + 516*r**2 + 6088*r - 96.
-4*(r - 4)*(r + 3)*(127*r - 2)
Factor 4*z**5 - 12*z**4 - 40*z**3 - 8*z**2 + 36*z + 20.
4*(z - 5)*(z - 1)*(z + 1)**3
Factor 6*c**2/7 - 5606*c/7 - 3740/7.
2*(c - 935)*(3*c + 2)/7
Suppose n**2/2 - 29*n - 60 = 0. Calculate n.
-2, 60
Suppose 3*b**3 - 30*b**2 + 9*b + 162 = 0. What is b?
-2, 3, 9
Determine l so that -2*l**2/9 - 44*l/9 = 0.
-22, 0
Determine u so that 2*u**4/13 + 12*u**3/13 - 16*u**2/13 - 12*u/13 + 14/13 = 0.
-7, -1, 1
Factor 5*n**2 + 130*n + 240.
5*(n + 2)*(n + 24)
Factor 8*a**4/7 - 136*a**3/7 - 142*a**2/7 - 36*a/7.
2*a*(a - 18)*(2*a + 1)**2/7
Factor -v**3/4 + 567*v**2 + 2269*v/4.
-v*(v - 2269)*(v + 1)/4
Suppose 3*o**4/7 - 99*o**3/7 + 864*o**2/7 - 768*o/7 = 0. What is o?
0, 1, 16
Factor -2*k**4/3 - 4*k**3 + 2*k**2/3 + 4*k.
-2*k*(k - 1)*(k + 1)*(k + 6)/3
Factor 5*w**2 - 2110*w + 2105.
5*(w - 421)*(w - 1)
Solve 2*v**2 - 460*v + 458 = 0 for v.
1, 229
What is p in p**5/3 + p**4/3 - 22*p**3/3 + 2*p**2/3 + 23*p + 15 = 0?
-5, -1, 3
Find x such that 3*x**4 - 39*x**3 - 87*x**2 - 45*x = 0.
-1, 0, 15
Factor 2*l**2/5 - 616*l.
2*l*(l - 1540)/5
Factor i**3 + 9*i**2 + 14*i - 24.
(i - 1)*(i + 4)*(i + 6)
Factor g**3/4 + 31*g**2/4 + 15*g/2.
g*(g + 1)*(g + 30)/4
Find w, given that -3*w**5/7 + 150*w**4/7 + 666*w**3/7 - 960*w**2/7 - 663*w/7 + 810/7 = 0.
-5, -1, 1, 54
Determine v so that 3*v**2/5 - 171*v/5 + 1806/5 = 0.
14, 43
Solve -2*c**3 - 58*c**2 = 0 for c.
-29, 0
Suppose -3*l**5/2 - 21*l**4/2 - 21*l**3 - 3*l**2 + 45*l/2 + 27/2 = 0. Calculate l.
-3, -1, 1
Factor -4*x**4 - 24*x**3 - 52*x**2 - 48*x - 16.
-4*(x + 1)**2*(x + 2)**2
Factor -d**5/7 - 4*d**4/7 + 5*d**3/7.
-d**3*(d - 1)*(d + 5)/7
Factor d**2 + 77*d + 930.
(d + 15)*(d + 62)
What is n in n**5/7 - 8*n**4/7 + 15*n**3/7 + 4*n**2/7 - 20*n/7 = 0?
-1, 0, 2, 5
Suppose -3*o**5 - 7*o**4 + 24*o**3 + 12*o**2 - 16*o = 0. Calculate o.
-4, -1, 0, 2/3, 2
Solve 2*j**5/11 + 8*j**4/11 = 0 for j.
-4, 0
Factor 2*x**3/9 - 46*x**2/9 + 112*x/9 + 160/9.
2*(x - 20)*(x - 4)*(x + 1)/9
Determine w, given that -w**4/2 + 5*w**3/2 - 5*w**2/2 - 5*w/2 + 3 = 0.
-1, 1, 2, 3
Let 5*n**5 - 115*n**4 + 555*n**3 - 765*n**2 = 0. Calculate n.
0, 3, 17
Find y such that y**2/3 + 54*y + 2187 = 0.
-81
Let 6*a**2 + 52*a + 102 = 0. What is a?
-17/3, -3
Factor 2*c**3/3 - 28*c**2/3 - 62*c/3 - 32/3.
2*(c - 16)*(c + 1)**2/3
Solve w**5 - 7*w**4 + 11*w**3 - 5*w**2 = 0 for w.
0, 1, 5
Determine t, given that -2*t**2/3 + 70*t/3 + 24 = 0.
-1, 36
Let 2*q**2/7 - 40*q/7 + 200/7 = 0. What is q?
10
Let -2*o**3/7 - 1206*o**2/7 - 242406*o/7 - 16241202/7 = 0. What is o?
-201
Factor f**5/4 - 35*f**4/8 + 15*f**3 - 85*f**2/4 + 55*f/4 - 27/8.
(f - 1)**4*(2*f - 27)/8
Suppose i**2/2 + i - 3/2 = 0. Calculate i.
-3, 1
Factor n**2/7 - 2*n - 32/7.
(n - 16)*(n + 2)/7
Factor g**5/4 + 2*g**4 + 3*g**3 - 8*g**2 - 16*g.
g*(g - 2)*(g + 2)*(g + 4)**2/4
Determine u, given that -4*u**3 + 168*u**2 + 348*u + 176 = 0.
-1, 44
Suppose x**3/10 - 3*x**2/10 = 0. Calculate x.
0, 3
Find q, given that q**2 - 17*q - 1260 = 0.
-28, 45
Solve -5*f**2 + 500*f + 505 = 0.
-1, 101
Suppose 3*m**3/4 + 381*m**2/4 + 12285*m/4 + 11907/4 = 0. Calculate m.
-63, -1
Solve -h**3/7 + 10*h**2/7 + 11*h/7 = 0.
-1, 0, 11
Find i, given that -5*i**2 + 110*i - 425 = 0.
5, 17
Factor 2*g**4/3 - 128*g**3/3 - 132*g**2 - 400*g/3 - 134/3.
2*(g - 67)*(g + 1)**3/3
Suppose -5*u**3 + 10*u**2 + 5*u - 10 = 0. Calculate u.
-1, 1, 2
Solve -5*z**4 + 40*z**3 + 645*z**2 + 1960*z + 1360 = 0.
-4, -1, 17
Solve p**3 - 98*p**2 - 2260*p - 11800 = 0 for p.
-10, 118
Suppose 2*c**2 - 8124*c + 8249922 = 0. What is c?
2031
Let 4*m**4/3 - 16*m**3 - 124*m**2/3 + 56*m = 0. Calculate m.
-3, 0, 1, 14
What is q in 3*q**4 - 153*q**3 + 2106*q**2 - 2592*q - 31104 = 0?
-3, 6, 24
Factor -5*v**2 + 9480*v - 18940.
-5*(v - 1894)*(v - 2)
What is b in b**2/5 + 6*b/5 + 1 = 0?
-5, -1
Let -2*g**2/13 + 248*g/13 - 126 = 0. What is g?
7, 117
Factor -4*x**3 - 520*x**2 - 18352*x - 92256.
-4*(x + 6)*(x + 62)**2
Factor 55*v**2 + 5125*v + 930.
5*(v + 93)*(11*v + 2)
Factor 3*k**2/4 - 165*k/4 + 81/2.
3*(k - 54)*(k - 1)/4
Find f, given that 4*f**3 + 160*f**2 + 308*f + 152 = 0.
-38, -1
Factor 15*c**3 + 219*c**2 - 330*c + 96.
3*(c - 1)*(c + 16)*(5*c - 2)
Suppose -k**4 - 10*k**3 + 16*k**2 + 160*k = 0. Calculate k.
-10, -4, 0, 4
What is s in -s**4 + 119*s**3/3 - 425*s**2 + 627*s - 722/3 = 0?
2/3, 1, 19
Solve 19*t**5/2 - 55*t**4/2 + 51*t**3/2 - 13*t**2/2 - t = 0.
-2/19, 0, 1
Determine y so that 4*y**4/15 - 86*y**3 + 103034*y**2/15 + 52272*y/5 + 17496/5 = 0.
-1, -1/2, 162
Find m, given that 3*m**3/8 - 45*m**2/8 + 57*m/4 - 9 = 0.
1, 2, 12
Determine a, given that 2*a**5/5 - 18*a**4/5 + 14*a**3/5 + 18*a**2/5 - 16*a/5 = 0.
-1, 0, 1, 8
Factor r**3 + 15*r**2.
r**2*(r + 15)
Find c such that -2*c**4/7 + 16*c**3/21 - 2*c**2/21 - 16*c/21 + 8/21 = 0.
-1, 2/3, 1, 2
Factor 4*z**3/5 - 16*z**2/5 - 128*z/5.
4*z*(z - 8)*(z + 4)/5
Determine c so that 5*c**3/4 - 50*c**2 + 385*c/4 - 95/2 = 0.
1, 38
Factor -b**4/2 + 89*b**3/2 + 46*b**2 - 90*b.
-b*(b - 90)*(b - 1)*(b + 2)/2
Factor -55*h**2/4 + 185*h/2 - 60.
-5*(h - 6)*(11*h - 8)/4
What is v in v**3/6 + 279*v**2/2 - 420*v = 0?
-840, 0, 3
Factor -5*n**2 + 310*n - 4805.
-5*(n - 31)**2
Solve u**4/6 - 4*u**3/3 + 7*u**2/2 - 3*u = 0.
0, 2, 3
Solve -7*i**3/4 - 11*i**2 + 37*i/4 + 7/2 = 0.
-7, -2/7, 1
Find n such that -2*n**3/19 - 472*n**2/19 + 50*n - 476/19 = 0.
-238, 1
Find i, given that 2*i**3/9 + 134*i**2/3 + 8978*i/3 + 601526/9 = 0.
-67
Factor 21*c**2 - 81*c/2.
3*c*(14*c - 27)/2
Let -2*c**4 + 100*c**3 + 318*c**2 + 8*c - 424 = 0. What is c?
-2, 1, 53
Suppose 48*v**5 - 600*v**4 + 819*v**3 - 300*v**2 + 33*v = 0. Calculate v.
0, 1/4, 1, 11
Determine i so that 3*i**2 + 204*i + 768 = 0.
-64, -4
Factor -5*t**3 + 125*t.
-5*t*(t - 5)*(t + 5)
Suppose -z**4 + 52*z**3 + 397*z**2 + 932*z + 708 = 0. Calculate z.
-3, -2, 59
Let -3*x**2 - 504*x + 507 = 0. Calculate x.
-169, 1
Factor -4*a**4 - 340*a**3 - 668*a**2 - 332*a.
-4*a*(a + 1)**2*(a + 83)
Factor 34*d**2 - 42*d - 180.
2*(d - 3)*(17*d + 30)
Solve -3*o**4/2 + 198*o**3 - 8307*o**2 + 105258*o + 227529/2 = 0.
-1, 27, 53
Suppose -2*s**2 - 28*s + 1360 = 0. What is s?
-34, 20
Find z, given that -2*z**4/11 + 476*z**3/11 - 1416*z**2/11 + 1412*z/11 - 470/11 = 0.
1, 235
Factor 2*m**4 + 778*m**3 + 3846*m**2 + 2286*m - 6912.
2*(m - 1)*(m + 3)**2*(m + 384)
What is v in -3*v**5/4 - 9*v**4/2 - 15*v**3/2 + 33*v/4 + 9/2 = 0?
-3, -2, -1, 1
Solve -4*n**5 + 4*n**4 + 48*n**3 - 112*n**2 + 64*n = 0.
-4, 0, 1, 2
Factor -2*q**3/7 + 134*q**2/7 - 384*q/7.
-2*q*(q - 64)*(q - 3)/7
What is h in -6*h**3 - 23*h**2 + 5*h + 4 = 0?
-4, -1/3, 1/2
Factor -2*b**2/15 - 98*b/15 +