= 0.
-2/883
Factor -12*k**3 + 56*k**2 - 80*k + 32.
-4*(k - 2)**2*(3*k - 2)
Determine c, given that 2*c**5 - 80*c**4 - 7*c**3/2 + 277*c**2/2 + 60*c = 0.
-1, -1/2, 0, 3/2, 40
Suppose 2*f**3/19 - 6*f**2/19 - 12*f/19 + 16/19 = 0. What is f?
-2, 1, 4
Factor m**4/4 + 3*m**3 + 27*m**2/4.
m**2*(m + 3)*(m + 9)/4
Factor -d**2 + 105*d - 104.
-(d - 104)*(d - 1)
Find y such that -y**4/4 - y**3 + 9*y**2/2 - 5*y + 7/4 = 0.
-7, 1
Factor -2*y**3 + 14*y**2 - 8*y - 24.
-2*(y - 6)*(y - 2)*(y + 1)
Factor 5*b**2 - 8567*b + 3426.
(b - 1713)*(5*b - 2)
Suppose -4*g**5/7 + 8*g**4 - 16*g**3 - 232*g**2/7 + 116*g/7 + 176/7 = 0. Calculate g.
-1, 1, 4, 11
Determine l so that -2*l**5/5 - 12*l**4 - 546*l**3/5 - 848*l**2/5 + 1368*l + 1440 = 0.
-12, -10, -1, 3
Factor -2*h**4 + 14*h**3 - 22*h**2 + 10*h.
-2*h*(h - 5)*(h - 1)**2
Suppose -2*k**4/3 - 14*k**3/3 - 8*k**2 + 8*k/3 + 32/3 = 0. Calculate k.
-4, -2, 1
Let -2*o**5 - 22*o**4 - 84*o**3 - 108*o**2 + 54*o + 162 = 0. What is o?
-3, 1
Factor -4*a**2 + 272*a - 1488.
-4*(a - 62)*(a - 6)
Suppose -40*m**4 - 915*m**3 - 765*m**2 + 110*m = 0. Calculate m.
-22, -1, 0, 1/8
Determine n, given that -2*n**4 - 158*n**3 - 2862*n**2 + 10742*n + 13448 = 0.
-41, -1, 4
Solve 57*v**3/4 + 111*v**2/2 - 177*v + 18 = 0.
-6, 2/19, 2
What is h in -2*h**3/7 + 58*h**2/7 + 2*h/7 - 58/7 = 0?
-1, 1, 29
Solve 5*i**5/2 + 15*i**4 + 45*i**3/2 + 10*i**2 = 0.
-4, -1, 0
Factor -3*j**3 + 3*j**2 + 24*j - 36.
-3*(j - 2)**2*(j + 3)
Solve 2*y**3/7 + 144*y**2/7 - 920*y/7 + 1248/7 = 0 for y.
-78, 2, 4
Factor 15*x**2/2 + 485*x - 660.
5*(x + 66)*(3*x - 4)/2
Factor o**4 - 43*o**3 + 267*o**2 - 549*o + 324.
(o - 36)*(o - 3)**2*(o - 1)
Determine i so that -4*i**2 + 48*i - 80 = 0.
2, 10
Factor -3*w**3 - 75*w**2 + 252*w.
-3*w*(w - 3)*(w + 28)
Suppose l**2 + 76*l + 75 = 0. Calculate l.
-75, -1
Solve -4*c**5/3 + 52*c**4/3 - 212*c**3/3 + 284*c**2/3 - 40*c = 0.
0, 1, 5, 6
Factor t**2/2 + 7*t - 16.
(t - 2)*(t + 16)/2
Let 4*o**4 - 592*o**3 + 23056*o**2 - 85248*o + 82944 = 0. What is o?
2, 72
Determine d so that -d**2 + 16*d + 161 = 0.
-7, 23
Suppose w**4/12 + 7*w**3/3 - 31*w**2/12 - 29*w/6 = 0. Calculate w.
-29, -1, 0, 2
Suppose 4*j**3 - 4452*j**2 + 1651692*j - 204259244 = 0. Calculate j.
371
Suppose -32*o**3/11 + 18320*o**2/11 - 2612866*o/11 - 2631218/11 = 0. What is o?
-1, 1147/4
Factor 3*j**3 + 42*j**2 - 279*j - 1134.
3*(j - 7)*(j + 3)*(j + 18)
Find k such that 5*k**2 - 35*k - 40 = 0.
-1, 8
Factor -2*y**2/11 - 812*y/11 + 74.
-2*(y - 1)*(y + 407)/11
What is h in -h**5/2 - 39*h**4/2 - 175*h**3/2 - 165*h**2/2 + 88*h + 102 = 0?
-34, -3, -2, -1, 1
Determine u, given that 4*u**2 + 16*u = 0.
-4, 0
Factor -2*i**2/3 + 132*i - 390.
-2*(i - 195)*(i - 3)/3
Factor 5*j**2/6 + 113*j/6 + 18.
(j + 1)*(5*j + 108)/6
Factor 3*o**3 + 246*o**2 + 6723*o + 61236.
3*(o + 27)**2*(o + 28)
Find b, given that 2*b**2/5 + 6552*b/5 + 5366088/5 = 0.
-1638
Factor -a**2 - 153*a - 740.
-(a + 5)*(a + 148)
Suppose 3*r**3 + 39*r**2 + 108*r = 0. What is r?
-9, -4, 0
Factor 2*x**3/13 + 70*x**2/13 + 644*x/13 + 576/13.
2*(x + 1)*(x + 16)*(x + 18)/13
Factor -a**2/3 - 41*a/3 - 148/3.
-(a + 4)*(a + 37)/3
Factor 6*f**3 + 94*f**2 - 662*f + 210.
2*(f - 5)*(f + 21)*(3*f - 1)
Factor a**4 + 6*a**3 + 12*a**2 + 8*a.
a*(a + 2)**3
Let -12*t**2 + 105*t + 27 = 0. What is t?
-1/4, 9
Suppose 4*o**4 - 16*o**3 + 12*o**2 + 16*o - 16 = 0. What is o?
-1, 1, 2
What is h in 555*h**2 + 2225*h + 20 = 0?
-4, -1/111
Suppose 18*u**3 + 382*u**2 - 1716*u - 400 = 0. Calculate u.
-25, -2/9, 4
Factor -h**2/4 - 25*h/2 - 625/4.
-(h + 25)**2/4
Determine h so that -4*h**2 + 112*h - 784 = 0.
14
Find n, given that 5*n**5 - 130*n**4 + 520*n**3 + 130*n**2 - 525*n = 0.
-1, 0, 1, 5, 21
Determine p so that p**5/3 + 7*p**4 + 116*p**3/3 + 32*p**2 = 0.
-12, -8, -1, 0
Determine t so that -26*t**5/17 + 4*t**4/17 + 130*t**3/17 - 20*t**2/17 - 104*t/17 + 16/17 = 0.
-2, -1, 2/13, 1, 2
Factor -3*a**4 - 102*a**3 - 1188*a**2 - 5082*a - 3993.
-3*(a + 1)*(a + 11)**3
Determine u, given that 2*u**4 + 30*u**3 - 104*u**2 + 72*u = 0.
-18, 0, 1, 2
Solve 2*k**4/3 + 8*k**3 + 18*k**2 - 80*k/3 = 0.
-8, -5, 0, 1
Find n such that -n**3/4 - 253*n**2/4 = 0.
-253, 0
Factor -6*b**2/7 - 589*b/7 - 14.
-(b + 98)*(6*b + 1)/7
Factor 35*l**4 - 290*l**3 + 500*l**2 - 120*l.
5*l*(l - 6)*(l - 2)*(7*l - 2)
Let -2*j**2/11 + 2*j/11 = 0. What is j?
0, 1
Find r such that r**2 + 93*r = 0.
-93, 0
Determine h so that 5*h**5 - 110*h**4 + 350*h**3 + 2740*h**2 + 3965*h + 1690 = 0.
-2, -1, 13
Solve -4*r**2/11 - 2*r/11 + 2/11 = 0.
-1, 1/2
Determine a, given that 11094*a**4 + 774*a**3 + 27*a**2/2 = 0.
-3/86, 0
Factor 4*t**2/3 - 1688*t/3 + 1676.
4*(t - 419)*(t - 3)/3
Factor 2*j**2/7 + 104*j/7 + 1254/7.
2*(j + 19)*(j + 33)/7
Solve 5*m**2 + 645*m - 1980 = 0.
-132, 3
Solve -z**2 + 510*z + 2056 = 0 for z.
-4, 514
Factor -4*p**4 - 24*p**3 + 28*p**2.
-4*p**2*(p - 1)*(p + 7)
Determine q, given that -5*q**4/4 - 271*q**3/2 - 3954*q**2 - 15080*q - 5408 = 0.
-52, -4, -2/5
Suppose 2*d**3/9 + 2*d**2 - 2*d/9 - 2 = 0. Calculate d.
-9, -1, 1
Factor -x**3/3 + 17*x**2/3 - 55*x/3 + 13.
-(x - 13)*(x - 3)*(x - 1)/3
Factor -g**3 - 78*g**2 + 243*g.
-g*(g - 3)*(g + 81)
Determine z, given that -z**4/7 + 206*z**3/7 - 10609*z**2/7 = 0.
0, 103
Factor i**5/5 - 33*i**4/5 - 69*i**3/5 - 7*i**2.
i**2*(i - 35)*(i + 1)**2/5
Solve 2*c**2/3 - 14*c/3 + 20/3 = 0 for c.
2, 5
Solve g**2/4 - 363*g/4 - 742 = 0.
-8, 371
Factor -2*d**3/3 - 254*d**2/3 - 7670*d/3 + 8450.
-2*(d - 3)*(d + 65)**2/3
Factor -2*c**3 - 2060*c**2 - 4114*c - 2056.
-2*(c + 1)**2*(c + 1028)
Let z**4/10 + z**3 + 8*z**2/5 = 0. What is z?
-8, -2, 0
Find c such that -2*c**3/7 + 18*c**2/7 - 16*c/7 = 0.
0, 1, 8
Factor -17*h**3/5 + 87*h**2/5 - 78*h/5 + 8/5.
-(h - 4)*(h - 1)*(17*h - 2)/5
Find q such that 5*q**4 + 580*q**3 - 2990*q**2 + 4220*q - 1815 = 0.
-121, 1, 3
Suppose o**3/7 + 5*o**2 + 23*o/7 - 5819/7 = 0. What is o?
-23, 11
Factor -2*y**2 + 20*y + 22.
-2*(y - 11)*(y + 1)
What is j in 4*j**2/3 + 94*j/3 + 46/3 = 0?
-23, -1/2
Factor -9*g**3 - 147*g**2 + 465*g + 171.
-3*(g - 3)*(g + 19)*(3*g + 1)
Determine a, given that -5*a**3 - 15*a**2 + 570*a - 1040 = 0.
-13, 2, 8
Factor 1805*t**4/2 + 1900*t**3 + 1095*t**2 + 100*t + 5/2.
5*(t + 1)**2*(19*t + 1)**2/2
Factor 3*m**3 - 87*m**2.
3*m**2*(m - 29)
Find n such that 2*n**2/5 - 84*n + 2448/5 = 0.
6, 204
Determine u so that -92*u**2 + 72*u + 20 = 0.
-5/23, 1
Suppose -8*t**4/5 - 78*t**3/5 - 164*t**2/5 - 66*t/5 + 28/5 = 0. What is t?
-7, -2, -1, 1/4
Find y, given that 5*y**4 - 30*y**3 + 20*y**2 + 30*y - 25 = 0.
-1, 1, 5
Factor 2*a**5/7 - 6*a**3/7 - 4*a**2/7.
2*a**2*(a - 2)*(a + 1)**2/7
Factor 57*o**2 - 1704*o - 180.
3*(o - 30)*(19*o + 2)
Find i such that 5*i**4/7 - i**3/7 = 0.
0, 1/5
Factor -3*w**4/7 - 24*w**3/7 - 54*w**2/7 + 81/7.
-3*(w - 1)*(w + 3)**3/7
Factor 36*f**2 + 404*f + 88.
4*(f + 11)*(9*f + 2)
Let 2*v**3/5 - 28*v**2/5 + 98*v/5 - 72/5 = 0. Calculate v.
1, 4, 9
Factor -n**2/3 + 86*n/3 - 56.
-(n - 84)*(n - 2)/3
Factor -2*o**3/11 - 4*o**2/11 + 2*o/11 + 4/11.
-2*(o - 1)*(o + 1)*(o + 2)/11
Solve 25*j**2 + 220*j + 195 = 0 for j.
-39/5, -1
Factor -5*y**2 + 30*y + 1400.
-5*(y - 20)*(y + 14)
Let -5*l**3 + 770*l**2 - 1525*l + 760 = 0. What is l?
1, 152
Factor 4*a**5 - 840*a**4 + 44100*a**3.
4*a**3*(a - 105)**2
Suppose -2*z**3 - 46*z**2 - 44*z = 0. What is z?
-22, -1, 0
Factor 48*a**5 + 120*a**4 + 99*a**3 + 27*a**2.
3*a**2*(a + 1)*(4*a + 3)**2
Factor -y**5 + 2*y**4 + 11*y**3 - 8*y**2 - 20*y + 16.
-(y - 4)*(y - 1)**2*(y + 2)**2
Let 20*s**3 - 832*s**2/7 + 652*s/7 + 40/7 = 0. What is s?
-2/35, 1, 5
Factor -2*c**5/3 + 122*c**4/3 + 126*c**3 + 382*c**2/3 + 128*c/3.
-2*c*(c - 64)*(c + 1)**3/3
Solve -m**2/3 - 7*m/3 - 2 = 0 for m.
-6, -1
Determine g so that 2*g**5/5 + 14*g**4/5 - 10*g**3 - 374*g**2/5 + 48*g/5 + 72 = 0.
-6, -1, 1, 5
Determine v, given that -v**4 + 2*v**3 + 3*v**2 - 8*v + 4 = 0.
-2, 1, 2
Factor -2*t**4/7 - 104*t**3/7 - 1452*t**2/7 - 2600*t/7 - 1250/7.
-2*(t + 1)**2*(t + 25)**2/7
Factor -16*x**4/3 - 56*x**3/3 - 73*x**2/3 - 14*x - 3.
-(x + 1)**2*(4*x + 3)**2/3
What is u in u**2/8 + 8*u - 65/8 = 0?
-65, 1
Factor -2*k**5 - 6*k**4 - 6*k**3 - 2*k**2.
-2*k**2*(k + 1)**3
Let 3*s**4/4 + 3807*s**3/4 + 1205865*s**2/4 - 1209675*s/4 = 0. What is s?
-635, 0, 1
Suppose -4*s**5 - 88*s**4 + 528*s**3 - 360*s**2 - 972*s = 0. Calculate s.
-27, -1, 0, 3
Factor p**2/2 - 39*p/