675/2 = 0.
-30, -3, -1
Factor -4*a**4/7 + 72*a**3/7 - 244*a**2/7 - 720*a/7 - 400/7.
-4*(a - 10)**2*(a + 1)**2/7
Find a, given that 5*a**3 - 5*a**2 - 480*a + 1980 = 0.
-11, 6
What is u in 15*u**4 + 33*u**3 - 300*u**2 + 252*u = 0?
-6, 0, 1, 14/5
What is n in n**4 - 8*n**3 - 10*n**2 + 8*n + 9 = 0?
-1, 1, 9
Solve 6*o**5/7 + 4*o**4 - 58*o**3/7 - 8*o**2 + 24*o/7 = 0.
-6, -1, 0, 1/3, 2
Determine w, given that 4*w**3/7 - 836*w**2/7 - 1688*w/7 = 0.
-2, 0, 211
Factor 2*b**3/19 - 40*b**2/19 - 46*b/19 + 84/19.
2*(b - 21)*(b - 1)*(b + 2)/19
Determine a, given that -2*a**4 - 76*a**3 - 144*a**2 = 0.
-36, -2, 0
Suppose 12*a**5 + 147*a**4 + 159*a**3 - 75*a**2 - 99*a = 0. What is a?
-11, -1, 0, 3/4
Let 18*z**3 + 35*z**2/2 - 73*z/2 + 1 = 0. Calculate z.
-2, 1/36, 1
Factor -k**2/5 - 94*k - 11045.
-(k + 235)**2/5
Suppose 225*w**4/8 - 885*w**3/8 + 117*w**2/4 + 108*w - 60 = 0. What is w?
-1, 4/5, 10/3
What is g in 2*g**4 + 70*g**3 + 414*g**2 + 626*g + 280 = 0?
-28, -5, -1
Factor t**3 - 18*t**2 - 84*t - 88.
(t - 22)*(t + 2)**2
Let q**2 + 270*q - 271 = 0. Calculate q.
-271, 1
Factor -3*s**3 + 267*s**2 - 5520*s - 19044.
-3*(s - 46)**2*(s + 3)
Let -4*q**2/5 + 288*q = 0. Calculate q.
0, 360
Let 9*y**5 + 78*y**4 + 228*y**3 + 264*y**2 + 96*y = 0. What is y?
-4, -2, -2/3, 0
Let -2*l**2 + 8756*l - 9583442 = 0. Calculate l.
2189
Find s, given that 3*s**5 + 6*s**4 - 9*s**3 - 24*s**2 - 12*s = 0.
-2, -1, 0, 2
Determine n so that -n**4 + 32*n**3/3 + 14*n**2/3 - 32*n/3 - 11/3 = 0.
-1, -1/3, 1, 11
Suppose 2*y**4 - 16*y**3 - 2*y**2 + 16*y = 0. What is y?
-1, 0, 1, 8
What is c in 3*c**4 + 9*c**3 + 6*c**2 = 0?
-2, -1, 0
Find j such that -j**4/12 + 11*j**3/3 - 125*j**2/12 + 41*j/6 = 0.
0, 1, 2, 41
Factor -2*g**2 + 22*g - 20.
-2*(g - 10)*(g - 1)
Find d, given that -363*d**5 - 9207*d**4 - 53505*d**3 + 63075*d**2 = 0.
-145/11, 0, 1
Factor x**5 + 6*x**4.
x**4*(x + 6)
Factor -2*a**3/9 + 7754*a**2/9.
-2*a**2*(a - 3877)/9
Determine m, given that m**3/2 - 165*m**2/2 + 9075*m/2 - 166375/2 = 0.
55
Factor 4*b**4 + 20*b**3 + 32*b**2 + 16*b.
4*b*(b + 1)*(b + 2)**2
Let -15*d**5 - 175*d**4 + 805*d**3 + 775*d**2 - 790*d - 600 = 0. Calculate d.
-15, -1, -2/3, 1, 4
What is t in 3*t**2 + 1473*t + 4392 = 0?
-488, -3
Suppose -8*s**5 + 76*s**4 - 216*s**3 + 128*s**2 + 128*s = 0. Calculate s.
-1/2, 0, 2, 4
Factor 7569*i**3/2 - 7221*i**2/2 - 172*i - 2.
(i - 1)*(87*i + 2)**2/2
Factor -5*k**3 - 85*k**2 - 440*k - 720.
-5*(k + 4)**2*(k + 9)
Factor -3*w**3 - 144*w**2 + 297*w - 150.
-3*(w - 1)**2*(w + 50)
Determine w so that -4*w**4 - 904*w**3 - 48292*w**2 + 314592*w - 484416 = 0.
-116, 3
Factor -m**3 + 492*m**2.
-m**2*(m - 492)
Let -6*o**4/5 + 432*o**3/5 - 426*o**2/5 = 0. Calculate o.
0, 1, 71
Factor i**2 + 14*i + 49.
(i + 7)**2
Solve 2450*a**3/3 + 7630*a**2/3 + 848*a/3 + 8 = 0.
-3, -2/35
Determine w so that 3*w**3 - 12*w**2 - 48*w + 192 = 0.
-4, 4
Factor -5*a**2 + 460*a - 455.
-5*(a - 91)*(a - 1)
Factor 5*y**4 - 5*y**3 - 45*y**2 + 45*y.
5*y*(y - 3)*(y - 1)*(y + 3)
Solve 4*v**4 + 16*v**3 - 108*v**2 + 152*v - 64 = 0.
-8, 1, 2
Factor -2*w**3/3 - 8*w**2/3 + 10*w/3.
-2*w*(w - 1)*(w + 5)/3
Solve -2*f**2 + 1902*f - 1900 = 0 for f.
1, 950
Factor -5*g**3 - 225*g**2.
-5*g**2*(g + 45)
Determine j so that -2*j**5/7 - 26*j**4/7 - 46*j**3/7 - 22*j**2/7 = 0.
-11, -1, 0
Determine o, given that -5*o**3 - 35*o**2 + 90*o = 0.
-9, 0, 2
Determine h so that h**4/4 - 17*h**3/2 + 33*h**2/4 = 0.
0, 1, 33
Factor -4*w**2/3 - 3772*w/3 - 3760.
-4*(w + 3)*(w + 940)/3
What is g in -2*g**4/13 + 4144*g**3/13 - 3219888*g**2/13 + 1111934656*g/13 - 143995537952/13 = 0?
518
Suppose -2*s**4 - 38*s**3 + 210*s**2 + 4950*s = 0. What is s?
-15, 0, 11
Suppose 7*s**5 - 338*s**4 + 1650*s**3 - 2572*s**2 + 1511*s - 258 = 0. What is s?
2/7, 1, 3, 43
Factor 3*l**2 + 330*l + 3528.
3*(l + 12)*(l + 98)
Suppose r**5/2 - 3*r**4/2 - 15*r**3 + r**2 + 93*r/2 - 63/2 = 0. Calculate r.
-3, 1, 7
What is a in -a**4 + 6*a**3 - 7*a**2 - 6*a + 8 = 0?
-1, 1, 2, 4
Factor -m**2/2 + 9*m/2 + 35.
-(m - 14)*(m + 5)/2
Factor 11*f**3 + 196*f**2 + 151*f - 34.
(f + 1)*(f + 17)*(11*f - 2)
Suppose 6*g**4 + 31*g**3 - 50*g**2 + 13*g = 0. Calculate g.
-13/2, 0, 1/3, 1
What is z in 4*z**5/5 - 1002*z**4/5 + 1496*z**3/5 - 498*z**2/5 = 0?
0, 1/2, 1, 249
Let o**5/6 + o**4/6 - 18*o**3 - 90*o**2 - 72*o = 0. Calculate o.
-6, -1, 0, 12
Suppose 15*c**2 + 1599*c - 642 = 0. What is c?
-107, 2/5
Suppose 15*p**3/2 - 117*p**2/2 + 108*p + 24 = 0. Calculate p.
-1/5, 4
Factor 4*z**3/3 + 8*z**2/3 - 4*z/3 - 8/3.
4*(z - 1)*(z + 1)*(z + 2)/3
Solve 2*s**3/9 + 4*s**2/9 - 2*s/9 - 4/9 = 0 for s.
-2, -1, 1
Factor s**4/2 - 37*s**3/2 + 180*s**2 - 162*s.
s*(s - 18)**2*(s - 1)/2
Determine c so that -3*c**5 - 117*c**4/4 - 63*c**3/2 + 759*c**2/4 - 153*c + 27 = 0.
-6, 1/4, 1
Factor -4*u**2 + 156*u + 160.
-4*(u - 40)*(u + 1)
Find r such that r**4 - 10*r**3 + 29*r**2 - 32*r + 12 = 0.
1, 2, 6
Factor -t**4/2 + 55*t**3 - 2913*t**2/2 - 3080*t - 1568.
-(t - 56)**2*(t + 1)**2/2
Suppose -p**4/5 + 413*p**3/5 - 56718*p**2/5 + 514188*p + 2628072/5 = 0. What is p?
-1, 138
Factor -2*j**2/11 + 9308*j/11 - 10829858/11.
-2*(j - 2327)**2/11
Factor 4*q**4/9 + 20*q**3/3 + 64*q**2/3 + 176*q/9.
4*q*(q + 2)**2*(q + 11)/9
Determine v so that v**2 + 55*v - 56 = 0.
-56, 1
What is q in 3*q**5/4 - 25*q**4/4 + 53*q**3/4 - 15*q**2/4 = 0?
0, 1/3, 3, 5
Let -2*f**3/5 + 12*f**2/5 + 8*f/5 - 48/5 = 0. Calculate f.
-2, 2, 6
Factor 5*x**5 + 620*x**4 + 26420*x**3 + 418400*x**2 + 1376000*x + 1280000.
5*(x + 2)**2*(x + 40)**3
Let -l**4 - 35*l**3 - 369*l**2 - 945*l + 1350 = 0. What is l?
-15, -6, 1
What is x in -2*x**2 - 184*x = 0?
-92, 0
What is q in -2*q**2 - 18*q - 40 = 0?
-5, -4
Factor 2*p**5 + 6*p**4 - 2*p**3 - 6*p**2.
2*p**2*(p - 1)*(p + 1)*(p + 3)
Factor 3*p**3/2 + 129*p**2/2 - 3*p/2 - 129/2.
3*(p - 1)*(p + 1)*(p + 43)/2
Find w, given that 3*w**2 + 84*w + 156 = 0.
-26, -2
Let -5*m**3 - 1825*m**2 - 1810*m + 3640 = 0. Calculate m.
-364, -2, 1
Factor -2*v**2/15 - 36*v/5.
-2*v*(v + 54)/15
Let 3*f**3 + 11*f**2 + 10*f = 0. What is f?
-2, -5/3, 0
Find x, given that -3*x**5 - 285*x**4 - 9657*x**3 - 133719*x**2 - 585336*x = 0.
-29, -8, 0
Solve g**3/4 + 5*g**2/4 - 33*g/4 + 27/4 = 0 for g.
-9, 1, 3
What is i in 2*i**2/9 + 6*i = 0?
-27, 0
Factor -z**4/3 - 8*z**3/3 - 22*z**2/3 - 8*z - 3.
-(z + 1)**2*(z + 3)**2/3
Find r, given that -r**2 + 252*r - 15876 = 0.
126
Determine f, given that -f**3 + 7*f**2 + 18*f = 0.
-2, 0, 9
Determine k, given that -2*k**4 - 152*k**3 + 156*k**2 + 152*k - 154 = 0.
-77, -1, 1
Factor -d**4 + 8*d**2 - 16.
-(d - 2)**2*(d + 2)**2
Let -2*d**2/13 + 4*d/13 + 16/13 = 0. What is d?
-2, 4
Solve -20*j**2 + 75*j + 20 = 0 for j.
-1/4, 4
Let 28*v**5/5 - 76*v**4/5 + 32*v**3/5 + 16*v**2/5 = 0. What is v?
-2/7, 0, 1, 2
Determine h so that -4*h**2 - 228*h + 232 = 0.
-58, 1
Factor 2*a**4/7 + 220*a**3/7 + 6266*a**2/7 + 11880*a/7 + 5832/7.
2*(a + 1)**2*(a + 54)**2/7
Determine n, given that -5*n**2 - 10830*n - 5864445 = 0.
-1083
Factor r**5/4 + 83*r**4/2 + 123*r**3 + 245*r**2/2 + 163*r/4.
r*(r + 1)**3*(r + 163)/4
Find o such that o**2/3 - 2714*o + 5524347 = 0.
4071
Factor -3*y**5 - 18*y**4 - 3*y**3 + 72*y**2 - 48*y.
-3*y*(y - 1)**2*(y + 4)**2
Solve -5*d**5 + 25*d**4 - 15*d**3 - 25*d**2 + 20*d = 0.
-1, 0, 1, 4
Let 3*t**4 - 72*t**3 - 237*t**2 - 162*t = 0. What is t?
-2, -1, 0, 27
Let o**4/2 + 133*o**3/10 - 339*o**2/10 + 259*o/10 - 29/5 = 0. Calculate o.
-29, 2/5, 1
Determine n so that -4*n**2/7 + 452*n/7 = 0.
0, 113
Determine f, given that -2*f**4/9 - 128*f**3/9 + 1126*f**2/9 - 620*f/3 + 96 = 0.
-72, 1, 6
Factor 4*x**3/3 - 68*x**2/3 - 152*x/3.
4*x*(x - 19)*(x + 2)/3
Let 4*o**3 - 4*o**2 - 532*o + 2548 = 0. What is o?
-13, 7
Factor v**3/4 - 3*v**2/4.
v**2*(v - 3)/4
Factor -3*v**3 - 288*v**2 - 7920*v - 46464.
-3*(v + 8)*(v + 44)**2
Factor -v**2/4 + 105*v/4.
-v*(v - 105)/4
Let -t**2 - 98*t = 0. What is t?
-98, 0
Solve 3*l**4 - 30*l**3 + 63*l**2 = 0 for l.
0, 3, 7
Factor -3*b**3/7 - 102*b**2/7 - 195*b/7 - 96/7.
-3*(b + 1)**2*(b + 32)/7
Find z such that 5*z**3 - 365*z**2 + 3715*z - 3355 = 0.
1, 11, 61
Determine g so that g**2/3 + 337*g/3 - 226 = 0.
-339, 2
Factor 5*y**2 + 1800*y + 3580.
5*(y + 2)*(y + 358)
Factor -s**3/6 + 59*s**2/6 + 257*s/6 - 105/2.
-(s - 63)*(s - 1)*(s + 5)/6
Solve -4*n**2 - 504*n - 15876 = 0.
-63
Factor -2*d**4 + 20*d**3 - 48*d**2 + 44*d - 14.
-2*(d -