 that -5*a**2 + 170*a - 465 = 0.
3, 31
Suppose -5*w**2/4 - 45*w + 185/4 = 0. Calculate w.
-37, 1
What is p in -29*p**4 - 434*p**3 - 2160*p**2 - 3550*p + 125 = 0?
-5, 1/29
Determine a so that 14*a**3 - 3664*a**2 + 239206*a + 68644 = 0.
-2/7, 131
Factor -v**3 - 302*v**2 - 897*v.
-v*(v + 3)*(v + 299)
Factor 27*n**2 + 1866*n + 96721/3.
(9*n + 311)**2/3
Suppose 5*h**5/4 - 15*h**4/4 - 5*h**3/4 + 55*h**2/4 - 15*h + 5 = 0. What is h?
-2, 1, 2
Factor -4*d**4 + 764*d**3 - 36852*d**2 + 34580*d + 72200.
-4*(d - 95)**2*(d - 2)*(d + 1)
Factor 7*c**2 + 20*c - 27.
(c - 1)*(7*c + 27)
Let -2*m**3 - 76*m**2 - 146*m - 72 = 0. Calculate m.
-36, -1
Determine d, given that 3*d**4 - 81*d**3 + 78*d**2 = 0.
0, 1, 26
Suppose 2*z**3/3 - 8*z**2 + 70*z/3 - 16 = 0. Calculate z.
1, 3, 8
What is k in 4*k**4 - 132*k**3 + 88*k**2 + 1248*k + 1024 = 0?
-2, -1, 4, 32
Let 20*s**4 - 185*s**3 + 410*s**2 - 60*s - 360 = 0. What is s?
-3/4, 2, 6
Let y**3/3 + y**2 = 0. What is y?
-3, 0
Factor 5*n**3 + 140*n**2 - 465*n.
5*n*(n - 3)*(n + 31)
Find y, given that 2*y**2/7 - 8*y/7 - 24/7 = 0.
-2, 6
Determine m, given that 2*m**4/9 - 4*m**3/9 - 32*m**2/3 - 28*m - 18 = 0.
-3, -1, 9
Factor -6*z**3 - 106*z**2 + 112*z.
-2*z*(z - 1)*(3*z + 56)
Suppose -2*l**2 - 340*l - 338 = 0. What is l?
-169, -1
Factor 5*z**2 + 410*z - 3600.
5*(z - 8)*(z + 90)
Factor -m**4/2 + 9*m**3/2 + m**2/2 - 9*m/2.
-m*(m - 9)*(m - 1)*(m + 1)/2
Factor 2*f**2/17 - 1660*f/17 + 344450/17.
2*(f - 415)**2/17
Solve 3*c**3 + 6*c**2/7 - 3*c - 6/7 = 0.
-1, -2/7, 1
Determine q, given that -3*q**3/8 - 18*q**2 - 279*q/8 - 69/4 = 0.
-46, -1
Factor k**2/3 + 284*k/3 - 95.
(k - 1)*(k + 285)/3
Factor 3*x**3/5 + 93*x**2/5 - 12*x/5 - 372/5.
3*(x - 2)*(x + 2)*(x + 31)/5
Factor m**3/2 + 7*m**2/3 + 4*m/3.
m*(m + 4)*(3*m + 2)/6
What is v in -6*v**5/13 - 2*v**4/13 + 10*v**3/13 + 2*v**2/13 - 4*v/13 = 0?
-1, 0, 2/3, 1
Solve -2*u**3/11 + 16*u**2/11 - 26*u/11 + 12/11 = 0.
1, 6
Factor 5*h**2 + 220*h - 960.
5*(h - 4)*(h + 48)
Find t such that -2*t**5/5 + 36*t**4/5 + 102*t**3/5 - 416*t**2/5 - 552*t/5 + 288 = 0.
-3, 2, 20
Find q such that q**4/2 + 8*q**3 + 87*q**2/2 + 90*q + 54 = 0.
-6, -3, -1
Factor 5*h**2/6 + 70*h + 410/3.
5*(h + 2)*(h + 82)/6
Factor -2*v**2 + 650*v.
-2*v*(v - 325)
Determine b, given that 5*b**2 - 270*b + 520 = 0.
2, 52
Find s such that 306*s**4/7 - 1002*s**3/7 + 892*s**2/7 - 216*s/7 - 16/7 = 0.
-1/17, 2/3, 2
Factor -2*p**3/23 - 122*p**2/23.
-2*p**2*(p + 61)/23
Find i, given that -i**3/4 + 5*i**2/4 + 179*i/2 + 88 = 0.
-16, -1, 22
Determine b, given that -20*b**2 + 544*b - 108 = 0.
1/5, 27
Let -d**4/2 + 4*d**3 + 5*d**2 - 4*d - 9/2 = 0. Calculate d.
-1, 1, 9
Factor q**3/4 + 17*q**2/4 + 75*q/4 + 99/4.
(q + 3)**2*(q + 11)/4
Factor 5*f**2 - 50*f + 45.
5*(f - 9)*(f - 1)
Factor d**2 - 31*d - 66.
(d - 33)*(d + 2)
Determine m, given that 3*m**4 + 660*m**3 - 1998*m**2 + 2004*m - 669 = 0.
-223, 1
Factor v**5 - 41*v**4 - 42*v**3.
v**3*(v - 42)*(v + 1)
Factor -2*y**4/7 + 54*y**3/7 - 48*y**2 + 608*y/7.
-2*y*(y - 19)*(y - 4)**2/7
Find p such that p**5/6 - p**4/6 - p**3/3 + p**2/3 + p/6 - 1/6 = 0.
-1, 1
Factor -10*f**3 - 355*f**2 - 175*f.
-5*f*(f + 35)*(2*f + 1)
Factor -3*j**3 - 49*j**2 + 448*j - 276.
-(j - 6)*(j + 23)*(3*j - 2)
Determine s, given that -s**4 - 19*s**3 - 18*s**2 + 864*s + 864 = 0.
-12, -1, 6
What is q in -3*q**4/2 + 87*q**3/2 - 699*q**2/2 + 1533*q/2 - 459 = 0?
1, 2, 9, 17
Factor 2*i**4/9 + 52*i**3/3 + 154*i**2/9.
2*i**2*(i + 1)*(i + 77)/9
Determine i, given that 3*i**4 - 1080*i**3 - 7659*i**2 - 17580*i - 13212 = 0.
-3, -2, 367
Find h such that -h**3 - 72*h**2 - 69*h + 142 = 0.
-71, -2, 1
Factor -6*s**4 - 70*s**3/3 - 64*s**2/3 + 8*s/3.
-2*s*(s + 2)**2*(9*s - 1)/3
Solve -4*k**2 - 2968*k - 550564 = 0.
-371
Factor -15*p**2/2 - 1701*p/2 - 339.
-3*(p + 113)*(5*p + 2)/2
Factor -j**4/4 - 7*j**3/2 - 18*j**2 - 40*j - 32.
-(j + 2)*(j + 4)**3/4
Determine o so that 4*o**2 + 456*o = 0.
-114, 0
Factor 2*q**2/3 - 760*q/3 + 72200/3.
2*(q - 190)**2/3
Let b**3 + 327*b**2 + 35643*b + 1295029 = 0. What is b?
-109
Factor -5*j**2 + 3760*j - 706880.
-5*(j - 376)**2
Factor 2*n**5/3 - 26*n**4/3 + 98*n**3/3 - 158*n**2/3 + 116*n/3 - 32/3.
2*(n - 8)*(n - 2)*(n - 1)**3/3
Factor -3*m**2 + 57*m + 450.
-3*(m - 25)*(m + 6)
Solve 2*a**4/3 + 6*a**3 + 20*a**2/3 - 24*a - 112/3 = 0 for a.
-7, -2, 2
Solve 2*s**4/7 - 6*s**3/7 - 26*s**2/7 + 30*s/7 = 0 for s.
-3, 0, 1, 5
Determine q so that q**4 + 35*q**3 - 151*q**2 + 193*q - 78 = 0.
-39, 1, 2
What is m in -2*m**4/11 + 106*m**3/11 + 1488*m**2/11 + 4680*m/11 = 0?
-6, 0, 65
Let 27*b**5 - 144*b**4 + 138*b**3 + 144*b**2 + 27*b = 0. Calculate b.
-1/3, 0, 3
Factor -4*k**2 - 60*k - 56.
-4*(k + 1)*(k + 14)
Factor 169*w**2 + 156*w + 36.
(13*w + 6)**2
Solve z**2 + 715*z + 2136 = 0.
-712, -3
Let -50*k**5 - 2160*k**4 - 22338*k**3 + 23884*k**2 + 50952*k + 17424 = 0. Calculate k.
-22, -3/5, 2
Factor -3*d**2 + 1914*d - 305283.
-3*(d - 319)**2
Solve 2*w**5/5 - 4*w**4/5 + 4*w**2/5 - 2*w/5 = 0 for w.
-1, 0, 1
Solve v**4 - 26*v**3 + 105*v**2 = 0.
0, 5, 21
Find x such that x**5/2 - 9*x**4/2 + 9*x**3 = 0.
0, 3, 6
Factor -2*q**3/5 - 28*q**2/5 + 78*q/5 + 1512/5.
-2*(q - 7)*(q + 9)*(q + 12)/5
Factor u**4/7 - 93*u**3/7 - 214*u**2.
u**2*(u - 107)*(u + 14)/7
Let -2*o**3/7 + 114*o**2/7 - 240*o + 224 = 0. What is o?
1, 28
Solve -2*r**3/11 - 36*r**2/11 + 2*r/11 + 36/11 = 0.
-18, -1, 1
Factor 3*x**3 + 162*x**2 + 2187*x + 8748.
3*(x + 9)**2*(x + 36)
What is r in 2*r**3/9 + 14*r**2/9 - 220*r/3 = 0?
-22, 0, 15
Factor 19*c**2/3 + 4*c/3.
c*(19*c + 4)/3
Factor 89*w**3 + 176*w**2 + 85*w - 2.
(w + 1)**2*(89*w - 2)
Determine u, given that 14*u**5/5 + 18*u**4/5 - 52*u**3/5 - 72*u**2/5 - 16*u/5 = 0.
-2, -1, -2/7, 0, 2
Factor 3*f**2 - 30*f + 48.
3*(f - 8)*(f - 2)
Factor -8*c**2/9 - 82*c/3 + 62/9.
-2*(c + 31)*(4*c - 1)/9
Determine l, given that -3*l**5 + 87*l**4 - 480*l**3 - 2304*l**2 = 0.
-3, 0, 16
Find q, given that -57*q**3/5 - 213*q**2/5 - 42*q/5 + 312/5 = 0.
-52/19, -2, 1
Factor k**3 + 38*k**2 + 209*k - 248.
(k - 1)*(k + 8)*(k + 31)
Let k**4 + 57*k**3/2 - 89*k**2/2 + 15*k = 0. Calculate k.
-30, 0, 1/2, 1
Determine u so that -6*u**2/13 - 9056*u/13 + 6040/13 = 0.
-1510, 2/3
Find d such that 4*d**4 - 24*d**3 - 164*d**2 + 24*d + 160 = 0.
-4, -1, 1, 10
Find z such that 3*z**2/2 + 393*z/2 - 603 = 0.
-134, 3
Factor 5*o**3 + 23320*o**2 + 27214425*o + 54335610.
5*(o + 2)*(o + 2331)**2
Determine r so that 3*r**5 - 9*r**4 - 12*r**3 + 48*r**2 - 48 = 0.
-2, -1, 2
Let 24*b**3 + 56628*b**2 + 56619*b/2 + 7077/2 = 0. Calculate b.
-2359, -1/4
Suppose 3*h**4 + 234*h**3 + 675*h**2 - 12*h - 900 = 0. What is h?
-75, -2, 1
Solve -2*y**4/3 + 56*y**3/3 - 130*y**2 + 944*y/3 - 608/3 = 0.
1, 4, 19
What is v in -v**3/2 - v**2/2 + 2*v + 2 = 0?
-2, -1, 2
Factor -2*t**2 + 80*t - 768.
-2*(t - 24)*(t - 16)
Factor -3*l**5 - 48*l**4 + 108*l**3 - 6*l**2 - 105*l + 54.
-3*(l - 1)**3*(l + 1)*(l + 18)
Suppose -245*t**2 - 70*t - 5 = 0. What is t?
-1/7
Find n, given that 2835*n**3 + 495*n**2 - 160*n - 20 = 0.
-2/7, -1/9, 2/9
Find n, given that n**3/2 + 5*n**2 - 12*n = 0.
-12, 0, 2
Solve -3*m**3 + 18*m**2 - 96 = 0.
-2, 4
Factor 3*s**3 + 168*s**2 + 159*s - 330.
3*(s - 1)*(s + 2)*(s + 55)
What is v in -2*v**4/5 - 2*v**3 + 86*v**2/5 - 134*v/5 + 12 = 0?
-10, 1, 3
What is r in 2*r**3/11 - 184*r**2/11 + 1640*r/11 = 0?
0, 10, 82
Factor -845*y**3 + 3705*y**2 - 3915*y + 1215.
-5*(y - 3)*(13*y - 9)**2
Factor -j**3/2 + 3*j**2 + 63*j/2 + 54.
-(j - 12)*(j + 3)**2/2
What is s in -s**5 + 15*s**4 + 22*s**3 - 610*s**2 - 1221*s - 605 = 0?
-5, -1, 11
Determine y, given that -3*y**5/2 - 36*y**4 + 117*y**3 - 120*y**2 + 81*y/2 = 0.
-27, 0, 1
Let m**3/5 - m**2/5 - 33*m/5 - 63/5 = 0. What is m?
-3, 7
Determine q, given that 3*q**3 + 135*q**2 - 144*q - 276 = 0.
-46, -1, 2
Let i**4/2 - 14*i**3 + 13*i**2 + 14*i - 27/2 = 0. Calculate i.
-1, 1, 27
Factor 100*d**4 + 280*d**3 - 624*d**2 - 608*d - 128.
4*(d - 2)*(d + 4)*(5*d + 2)**2
Determine q, given that q**3/2 - 107*q**2/2 + 1508*q - 4056 = 0.
3, 52
Let -x**3 + 29*x**2 - 28*x = 0. What is x?
0, 1, 28
Factor 2*y**2/15 - 388*y/15 + 18818/15.
2*(y - 97)**2/15
Find x, given that 215*x**4 + 1710*x**3 - 2660*x**2 - 30840*x + 1440 = 0.
-6, 2/43, 4
Factor 2*f**3/11 - 14*f/11 - 12/11.
2*(f - 3)*(f + 1)*(f + 2)/11
Find v such that 5*v**3 - 10*v**2 - 40*v = 0.
-2, 0, 4
Factor -i**3/3 + 10*i**2 - 5