 6
Let -4*f**4 + 160*f**3 - 1888*f**2 + 5760*f - 5184 = 0. Calculate f.
2, 18
Solve o**2 + 6*o + 9 = 0 for o.
-3
Factor l**3/3 + 4*l**2/3 - 7*l.
l*(l - 3)*(l + 7)/3
Solve o**4/2 - 29*o**3/2 - 201*o**2/2 - 315*o/2 = 0.
-3, 0, 35
Find q such that 2*q**5 - 20*q**4 + 4*q**3 + 128*q**2 - 6*q - 108 = 0.
-2, -1, 1, 3, 9
Solve 405*l**3 + 123750*l**2 - 55060*l + 6120 = 0.
-306, 2/9
Find p such that -3*p**5/2 - 3*p**4 + 45*p**3/2 + 12*p**2 - 102*p + 72 = 0.
-4, -3, 1, 2
Let -2*c**3/5 - 8*c**2/5 + 2*c/5 + 8/5 = 0. Calculate c.
-4, -1, 1
Suppose -3*y**5 + 3*y**4 + 588*y**3 - 588*y**2 = 0. What is y?
-14, 0, 1, 14
Let 2*s**3 + 34*s**2 + 182*s + 294 = 0. Calculate s.
-7, -3
Factor 2*c**2/5 - 672*c/5 + 56448/5.
2*(c - 168)**2/5
Factor -i**5/9 - i**4/9 + 2*i**3/9 + 2*i**2/9 - i/9 - 1/9.
-(i - 1)**2*(i + 1)**3/9
Let 5*s**2 - 945*s = 0. What is s?
0, 189
Factor 5*d**2 + 5*d - 60.
5*(d - 3)*(d + 4)
Factor 3*y**2/5 - 498*y/5 + 20667/5.
3*(y - 83)**2/5
Factor -4*w**3 - 23*w**2/2 - 13*w/2 + 1.
-(w + 1)*(w + 2)*(8*w - 1)/2
Factor 3*a**4/4 + 9*a**3/4 - 3*a**2/2 - 9*a - 6.
3*(a - 2)*(a + 1)*(a + 2)**2/4
What is t in 5*t**3 - 45*t**2 + 40*t = 0?
0, 1, 8
Find j such that -3*j**4/5 + 333*j**3/5 - 8364*j**2/5 - 49068*j/5 - 40368/5 = 0.
-4, -1, 58
Factor -4*w**5 + 12*w**4 - 12*w**3 + 4*w**2.
-4*w**2*(w - 1)**3
Let -5*n**4 + 2470*n**3 - 307505*n**2 + 607620*n - 302580 = 0. What is n?
1, 246
Factor -2*w**2/5 + 36*w - 178/5.
-2*(w - 89)*(w - 1)/5
Factor -t**4/2 - 34*t**3 - 867*t**2 - 9826*t - 83521/2.
-(t + 17)**4/2
Factor -q**4 - 51*q**3 - 278*q**2 - 360*q.
-q*(q + 2)*(q + 4)*(q + 45)
Solve 4*w**4 - 23*w**3 + 6*w**2 + 43*w + 10 = 0 for w.
-1, -1/4, 2, 5
Solve 10*z**3 + 54*z**2 + 80*z + 24 = 0.
-3, -2, -2/5
Factor x**5 + 4*x**4 - 3*x**3 - 14*x**2 - 8*x.
x*(x - 2)*(x + 1)**2*(x + 4)
Determine z, given that 147*z**5/4 + 5649*z**4/4 + 3153*z**3 - 2151*z**2 + 324*z = 0.
-36, -3, 0, 2/7
Determine d, given that -5*d**5 - 140*d**4 - 810*d**3 - 1620*d**2 - 945*d = 0.
-21, -3, -1, 0
Factor 68*d**5 - 256*d**4 + 344*d**3 - 176*d**2 + 4*d + 16.
4*(d - 1)**4*(17*d + 4)
Factor 3*u**4 - 84*u**3 + 66*u**2 + 396*u + 243.
3*(u - 27)*(u - 3)*(u + 1)**2
Factor -3*b**3/8 + 237*b**2/8 - 27*b - 351/2.
-3*(b - 78)*(b - 3)*(b + 2)/8
Factor -80*u**4 - 2440*u**3 - 19205*u**2 - 9150*u - 1125.
-5*(u + 15)**2*(4*u + 1)**2
Factor -n**2 - 525*n - 524.
-(n + 1)*(n + 524)
Factor 3*j**2 - 162*j + 159.
3*(j - 53)*(j - 1)
Factor -2*h**3/7 - 12*h**2/7 - 22*h/7 - 12/7.
-2*(h + 1)*(h + 2)*(h + 3)/7
Factor -5*a**2 + 4580*a - 1048820.
-5*(a - 458)**2
Factor -2*c**2/3 - 2*c + 12.
-2*(c - 3)*(c + 6)/3
Suppose -98*a**3 - 30730*a**2 - 17536*a - 2504 = 0. Calculate a.
-313, -2/7
Solve l**2/4 + 1833*l/2 + 3359889/4 = 0.
-1833
Factor k**5/4 + 17*k**4 + 1221*k**3/4 + 1089*k**2/2.
k**2*(k + 2)*(k + 33)**2/4
Find p such that -p**2/6 + 15*p/2 + 51 = 0.
-6, 51
Solve 44*l**2/7 + 78*l/7 + 34/7 = 0 for l.
-1, -17/22
Let -2*c**5/7 + 332*c**4/7 - 13100*c**3/7 - 56104*c**2/7 - 71570*c/7 - 28900/7 = 0. What is c?
-2, -1, 85
Factor -p**2/2 - 1499*p.
-p*(p + 2998)/2
Factor 2*f**3/13 + 8*f**2/13 + 8*f/13.
2*f*(f + 2)**2/13
Factor -2*j**2 + 20*j.
-2*j*(j - 10)
Factor -t**2 + 862*t - 861.
-(t - 861)*(t - 1)
Factor z**5/12 - z**4/2 + 11*z**3/12 - z**2/6 - z + 2/3.
(z - 2)**3*(z - 1)*(z + 1)/12
Determine m so that 4*m**3 - 60*m**2 - 4*m + 60 = 0.
-1, 1, 15
Factor 3*u**3 - 6*u**2 - 15*u + 18.
3*(u - 3)*(u - 1)*(u + 2)
Factor 5*k**2/3 - 65*k - 200/3.
5*(k - 40)*(k + 1)/3
Factor 3*b**3 - 33*b**2 - 48*b + 960.
3*(b - 8)**2*(b + 5)
Factor 4*j**4 - 1272*j**3 - 2556*j**2 - 1280*j.
4*j*(j - 320)*(j + 1)**2
Determine u, given that -3*u**2 - 78*u + 168 = 0.
-28, 2
Factor -4*y**2 + 116*y.
-4*y*(y - 29)
Factor -6*d**3/7 - 18*d**2/7 + 198*d/7 + 30.
-6*(d - 5)*(d + 1)*(d + 7)/7
What is k in -4*k**5 - 44*k**4 + 116*k**3 + 156*k**2 = 0?
-13, -1, 0, 3
Factor 5*x**3 - 7615*x**2 - 5*x + 7615.
5*(x - 1523)*(x - 1)*(x + 1)
What is b in 3*b**4 - 27*b**2 = 0?
-3, 0, 3
Let 5*u**2 - 20 = 0. What is u?
-2, 2
Suppose 53235*x**3 - 143130*x**2 + 72500*x + 33640 = 0. Calculate x.
-2/7, 58/39
Solve -3*c**4 + 255*c**3 - 6903*c**2 + 53757*c + 137214 = 0 for c.
-2, 21, 33
Solve -2*t**5/3 + 28*t**4/3 - 48*t**3 + 320*t**2/3 - 256*t/3 = 0 for t.
0, 2, 4
Suppose 4*m**2 + 456*m = 0. Calculate m.
-114, 0
Let 3*i**2/5 + 738*i/5 - 8481/5 = 0. Calculate i.
-257, 11
Factor -q**2/6 + 1939*q/6.
-q*(q - 1939)/6
Determine q, given that 5*q**2 - 73520*q + 270259520 = 0.
7352
Factor 2*x**5/13 + 2*x**4/13 - 6*x**3/13 - 10*x**2/13 - 4*x/13.
2*x*(x - 2)*(x + 1)**3/13
Factor -u**4/4 - 3*u**3/2 - 9*u**2/4 - u.
-u*(u + 1)**2*(u + 4)/4
Let 2*m**3 - 52*m**2 - 170*m - 116 = 0. Calculate m.
-2, -1, 29
Determine z so that 2*z**4/5 + 404*z**3/5 + 4656*z**2/5 + 18368*z/5 + 4864 = 0.
-190, -4
Factor -4*m**3 - 480*m**2 + 484*m.
-4*m*(m - 1)*(m + 121)
What is m in 8*m**3 - 36*m**2 + 48*m - 16 = 0?
1/2, 2
Factor -w**3/2 + 33*w**2 + 135*w/2 + 34.
-(w - 68)*(w + 1)**2/2
Factor -2*a**3/17 - 46*a**2/17 + 208*a/17 - 216/17.
-2*(a - 2)**2*(a + 27)/17
Factor 2*h**3 + 44*h**2 - 382*h + 696.
2*(h - 4)*(h - 3)*(h + 29)
What is y in -2*y**4/3 + 68*y**3/3 - 64*y**2/3 - 68*y/3 + 22 = 0?
-1, 1, 33
Factor 2*u**3/9 - 38*u/3 - 112/9.
2*(u - 8)*(u + 1)*(u + 7)/9
Determine y so that -y**4/4 + 3*y**3/4 + 7*y**2/2 - 3*y - 10 = 0.
-2, 2, 5
Factor -4*w**4 + 8*w**2 - 4.
-4*(w - 1)**2*(w + 1)**2
Factor 5*r**4/4 - 4825*r**3/2 + 4665765*r**2/4 - 2325650*r + 1161620.
5*(r - 964)**2*(r - 1)**2/4
Let -3*p**3 + 21*p + 18 = 0. What is p?
-2, -1, 3
What is m in m**5/3 - 5*m**4/3 - 2*m**3/3 + 10*m**2/3 + m/3 - 5/3 = 0?
-1, 1, 5
Factor -t**2/3 + 422*t + 1267/3.
-(t - 1267)*(t + 1)/3
Factor 2*h**2 - 114*h.
2*h*(h - 57)
Determine p so that 968*p**3 - 2992*p**2 + 266*p - 6 = 0.
1/22, 3
Find v such that 5*v**5 - 135*v**4 + 790*v**3 - 1900*v**2 + 2040*v - 800 = 0.
1, 2, 20
Let 2*s**5/11 - 122*s**4/11 + 138*s**3 + 990*s**2 = 0. Calculate s.
-5, 0, 33
What is d in -3*d**5/4 + 14*d**4 - 87*d**3/4 + 17*d**2/2 = 0?
0, 2/3, 1, 17
Factor -2*z**4/9 - 32*z**3/9 + 8*z**2.
-2*z**2*(z - 2)*(z + 18)/9
Factor -2*o**3 - 36*o**2/5 - 24*o/5 + 16/5.
-2*(o + 2)**2*(5*o - 2)/5
Suppose t**2/2 - 16*t - 473/2 = 0. What is t?
-11, 43
Factor 36*o**3/5 - 2068*o**2/5 + 912*o/5.
4*o*(o - 57)*(9*o - 4)/5
Find v, given that -8*v**5/7 + 228*v**4/7 + 3244*v**3/7 + 1332*v**2/7 - 3236*v/7 - 1560/7 = 0.
-10, -1, -1/2, 1, 39
Factor 3*s**4/5 + 9*s**3/5.
3*s**3*(s + 3)/5
Factor -2*q**3/11 - 6*q**2/11 + 26*q/11 + 30/11.
-2*(q - 3)*(q + 1)*(q + 5)/11
Determine w so that -2*w**4/13 - 54*w**3/13 - 330*w**2/13 + 1694*w/13 + 15972/13 = 0.
-11, 6
Solve c**4/10 - 1669*c**3/10 + 464538*c**2/5 - 86403512*c/5 + 85939808/5 = 0.
1, 556
Factor 3*q**4/7 + 9*q**3/7.
3*q**3*(q + 3)/7
Suppose 2*o**5/9 - 4*o**4 + 50*o**3/3 + 380*o**2/9 - 704*o/3 - 256 = 0. Calculate o.
-3, -1, 6, 8
Factor -2*x**2/13 + 10*x.
-2*x*(x - 65)/13
Factor -p**3/3 + p**2 - 4/3.
-(p - 2)**2*(p + 1)/3
Solve 5*f**4 - 3*f**3 - 12*f**2 - 4*f = 0 for f.
-1, -2/5, 0, 2
Suppose -a**2/10 - 2*a - 18/5 = 0. Calculate a.
-18, -2
What is v in 3*v**2 - 87*v + 84 = 0?
1, 28
Determine f, given that -2*f**5/7 - 32*f**4/7 - 26*f**3 - 56*f**2 - 32*f/7 + 640/7 = 0.
-5, -4, 1
Factor 2*n**3/3 - 278*n**2 + 38642*n - 5371238/3.
2*(n - 139)**3/3
Find f, given that 4*f**5/3 + 8*f**4/3 + 4*f**3/3 = 0.
-1, 0
Determine y so that 4*y**3 + 1000*y**2 + 61488*y - 127008 = 0.
-126, 2
What is l in l**3/6 - 11*l**2/6 - 221*l/6 + 845/2 = 0?
-15, 13
Determine w, given that 2*w**2 + 24*w - 216 = 0.
-18, 6
Factor 12*w**4 + 57*w**3 - 87*w**2 + 18*w.
3*w*(w - 1)*(w + 6)*(4*w - 1)
Factor 28*p**4 - 183*p**3 + 92*p**2 - 12*p.
p*(p - 6)*(4*p - 1)*(7*p - 2)
Factor l**4 + 4*l**3 - l**2 - 4*l.
l*(l - 1)*(l + 1)*(l + 4)
Determine j, given that j**3/4 - 5*j**2/2 - 49*j/4 + 65/2 = 0.
-5, 2, 13
Factor -75*l**2 + 970*l - 840.
-5*(l - 12)*(15*l - 14)
Determine u so that -14*u**2 - 452*u - 848 = 0.
-212/7, -2
Suppose f**2/2 - 4*f = 0. What is f?
0, 8
Suppose -2*n**5/17 - 24*n**4/17 + 232*n**3/17 - 36*n**2 + 634*n/17 - 228/17 = 0. What is n?
-19, 1, 2, 3
Factor -3*x**4 - 6*x**3 + 144*x**2 - 378*x + 243.
-3*(x - 3)**2*(x - 1)*(x + 9)
Let y**4/2 - 7*y**3/2 - 9*y**2/2 + 7*y/2 + 4 = 0. What is y?
-1, 1, 8
Let 3*b**2/5 - 210*b = 0. Calculate b.
0, 350
Factor s**3/3 - 13*s/3 - 4.
(s - 