40.
(o - 10)*(o + 2)*(o + 4)/2
Suppose -2*v**2/5 - 238*v + 4792/5 = 0. What is v?
-599, 4
Suppose -40*x**3 + 44*x**2 + 32*x/5 - 64/5 = 0. What is x?
-1/2, 4/5
Factor -2*g**2/9 - 44*g/9 + 32/3.
-2*(g - 2)*(g + 24)/9
Determine q so that 2*q**3/3 - 4*q**2/3 + 2*q/3 = 0.
0, 1
Factor 4*x**5/9 + 1612*x**4/9 + 24120*x**3 + 9839888*x**2/9 + 9624416*x/9.
4*x*(x + 1)*(x + 134)**3/9
Solve b**4 - 8*b**3 - 9*b**2 = 0.
-1, 0, 9
Determine a, given that -42*a**4 + 340*a**3 + 10*a**2 - 340*a + 32 = 0.
-1, 2/21, 1, 8
Factor 2*d**2/5 - 366*d/5 + 364/5.
2*(d - 182)*(d - 1)/5
Find l, given that 15*l**5 + 51*l**4 + 63*l**3 + 33*l**2 + 6*l = 0.
-1, -2/5, 0
Suppose q**3/5 + 44*q**2/5 + 105*q + 882/5 = 0. What is q?
-21, -2
Factor -77*z**3 - 617*z**2 + 502*z + 192.
-(z - 1)*(7*z + 2)*(11*z + 96)
Factor -u**3/8 + 85*u**2/8 - 209*u - 726.
-(u - 44)**2*(u + 3)/8
Factor m**2/2 - m - 3/2.
(m - 3)*(m + 1)/2
Determine l so that 5*l**2 - 100*l + 500 = 0.
10
Let -4*o**3 + 6196*o**2 - 24736*o + 24720 = 0. Calculate o.
2, 1545
Factor 3*r**2 + 21*r + 18.
3*(r + 1)*(r + 6)
Suppose -14*r**5 - 58*r**4 - 50*r**3 + 50*r**2 + 64*r + 8 = 0. Calculate r.
-2, -1, -1/7, 1
Factor 2*u**4 + 78*u**3 + 520*u**2 + 744*u.
2*u*(u + 2)*(u + 6)*(u + 31)
Let 2*l**4/9 - 8*l**3/9 + 4*l**2/9 + 8*l/9 - 2/3 = 0. Calculate l.
-1, 1, 3
Factor -2*b**4 - 2*b**3.
-2*b**3*(b + 1)
Find o, given that -o**4/4 - 33*o**3/2 + 35*o**2 + 66*o - 136 = 0.
-68, -2, 2
Let -a**2/4 + 1611*a/2 - 3221/4 = 0. Calculate a.
1, 3221
Let -3*s**2/5 - 3*s/5 = 0. Calculate s.
-1, 0
Solve -f**4/3 + 34*f**3/3 - 60*f**2 + 344*f/3 - 224/3 = 0.
2, 28
Determine r, given that -2*r**4 + 24*r**3 - 22*r**2 = 0.
0, 1, 11
Factor 2*k**4 + 16*k**3 - 66*k**2.
2*k**2*(k - 3)*(k + 11)
Factor -2*w**3/5 + 6*w**2/5 + 8*w/5.
-2*w*(w - 4)*(w + 1)/5
Find d, given that -75*d**5 - 10*d**4 + 455*d**3 + 310*d**2 - 80*d = 0.
-2, -1, 0, 1/5, 8/3
Suppose x**3 + 29*x**2 + 51*x - 81 = 0. Calculate x.
-27, -3, 1
Factor 10*l**3 + 1055*l**2/3 + 9860*l/3 + 10115/3.
5*(l + 17)**2*(6*l + 7)/3
Factor 2*j**3/7 + 12*j**2/7 + 18*j/7 + 8/7.
2*(j + 1)**2*(j + 4)/7
Factor 50*g**3 + 1184*g**2 + 6816*g - 2304.
2*(g + 12)**2*(25*g - 8)
Factor -2*k**4 - 1846*k**3 - 425040*k**2 + 426888*k.
-2*k*(k - 1)*(k + 462)**2
Determine t, given that -420*t**5 - 516*t**4 - 321*t**3/5 + 30*t**2 - 9*t/5 = 0.
-1, -3/7, 0, 1/10
Let l**4 - 4*l**3 + 3*l**2 = 0. What is l?
0, 1, 3
Factor 5*r**5 + 40*r**4 - 40*r**3 - 480*r**2 + 720*r.
5*r*(r - 2)**2*(r + 6)**2
Suppose -6*c**5 + 326*c**4 - 102*c**3 - 326*c**2 + 108*c = 0. What is c?
-1, 0, 1/3, 1, 54
Factor -4*l**4 + 128*l**3 + 132*l**2.
-4*l**2*(l - 33)*(l + 1)
Find s such that 2*s**2/9 + 32*s/9 + 14 = 0.
-9, -7
Find u, given that u**2 - 33*u - 190 = 0.
-5, 38
Determine v, given that 20*v**4 + 8*v**3 - 60*v**2 - 64*v - 16 = 0.
-1, -2/5, 2
Determine q so that 5*q**3 + 110*q**2 - 235*q + 120 = 0.
-24, 1
Solve -b**2/2 + 33*b/2 - 31 = 0.
2, 31
Find w, given that -w**4/2 + 25*w**3/2 + w**2/2 - 25*w/2 = 0.
-1, 0, 1, 25
Suppose 3*l**2 + 1785*l - 1788 = 0. What is l?
-596, 1
What is k in 4*k**4 - 12*k**3 - 88*k**2 + 48*k + 288 = 0?
-3, -2, 2, 6
Find m, given that 4*m**5 - 28*m**4 + 40*m**3 + 72*m**2 - 108*m - 108 = 0.
-1, 3
Find n, given that -n**2/2 + n/2 + 10 = 0.
-4, 5
Determine f so that 5*f**5 - 30*f**4 - 45*f**3 + 70*f**2 = 0.
-2, 0, 1, 7
Factor -75*g**5/8 + 105*g**4/2 + 177*g**3/8 + 9*g**2/4.
-3*g**2*(g - 6)*(5*g + 1)**2/8
Determine n, given that 15*n**5 - 620*n**4 + 780*n**3 + 800*n**2 = 0.
-2/3, 0, 2, 40
Factor 3*b**3 + 12*b**2 + 15*b + 6.
3*(b + 1)**2*(b + 2)
Factor -n**2/8 + 135*n/8 + 725/4.
-(n - 145)*(n + 10)/8
Factor s**3/8 - 205*s**2/8 + 10403*s/8 + 10609/8.
(s - 103)**2*(s + 1)/8
Factor 3*i**2 + 450*i + 16875.
3*(i + 75)**2
Factor -d**4/4 - 153*d**3/4 - 8505*d**2/4 - 200475*d/4 - 820125/2.
-(d + 18)*(d + 45)**3/4
Find b such that 3*b**4 + 24*b**3 - 996*b**2 + 3600*b - 3456 = 0.
-24, 2, 12
Suppose 2*h**2/11 + 148*h/11 + 146/11 = 0. What is h?
-73, -1
Let -3*h**3/5 - 3*h**2 + 3*h/5 + 3 = 0. Calculate h.
-5, -1, 1
Factor -5*k**4 - 60*k**3 - 195*k**2 - 140*k.
-5*k*(k + 1)*(k + 4)*(k + 7)
Factor o**2/4 - 58*o + 3364.
(o - 116)**2/4
Solve 61*t**3 + 28*t**2 = 0.
-28/61, 0
Let -26*q**5/7 - 16*q**4/7 + 402*q**3/7 - 464*q**2/7 - 376*q/7 + 480/7 = 0. Calculate q.
-60/13, -1, 1, 2
Factor -84*p**2/5 - 81*p/5 + 6.
-3*(4*p + 5)*(7*p - 2)/5
Determine x so that -5*x**3 + 15*x**2 + 165*x - 175 = 0.
-5, 1, 7
Find l, given that -l**3/6 - 27*l**2/2 - 39*l = 0.
-78, -3, 0
What is u in -4*u**4 - 48*u**3 + 128*u**2 + 192*u - 448 = 0?
-14, -2, 2
Suppose -3*x**3/7 + 1041*x**2/7 - 2073*x/7 + 1035/7 = 0. Calculate x.
1, 345
Find z, given that 49*z**4 - 1092*z**3 + 1926*z**2 + 46332*z + 88209 = 0.
-3, 99/7
Factor 4*p**4 - 20*p**3 - 132*p**2 - 108*p.
4*p*(p - 9)*(p + 1)*(p + 3)
Factor 2*l**3/5 - 6*l**2 + 54*l/5 + 486/5.
2*(l - 9)**2*(l + 3)/5
Factor 10*o**3/7 - 726*o**2/7 + 428*o/7 + 288/7.
2*(o - 72)*(o - 1)*(5*o + 2)/7
Suppose 15*n**4 - 170*n**3 + 415*n**2 + 420*n - 180 = 0. What is n?
-1, 1/3, 6
Find v such that -10*v**3/9 - 308*v**2/9 - 800*v/9 - 448/9 = 0.
-28, -2, -4/5
Let m**4 - 22*m**3 - 197*m**2 - 174*m = 0. Calculate m.
-6, -1, 0, 29
Determine z, given that 4*z**3/3 - 7*z**2/3 + 2*z/3 + 1/3 = 0.
-1/4, 1
What is w in -3*w**3/7 + 204*w**2/7 - 465*w - 1050 = 0?
-2, 35
Suppose 3*a**3 + 15*a**2 + 18*a = 0. Calculate a.
-3, -2, 0
Determine u so that -u**3 + 3*u - 2 = 0.
-2, 1
Let -180*u**4 + 2220*u**3 - 8705*u**2 + 11470*u - 4805 = 0. Calculate u.
1, 31/6
Factor p**2/2 + 103*p/2 - 52.
(p - 1)*(p + 104)/2
Factor 4*q**4 + 248*q**3 + 3028*q**2 - 25296*q + 41616.
4*(q - 3)**2*(q + 34)**2
Factor -4*y**4 - 20*y**3 - 32*y**2 - 16*y.
-4*y*(y + 1)*(y + 2)**2
Factor -z**2/4 - 274*z - 75076.
-(z + 548)**2/4
Let -p**3/5 + 109*p**2/5 + 1673*p/5 + 6027/5 = 0. What is p?
-7, 123
Factor -7*x**3/2 - 69*x**2 + 187*x/2 - 21.
-(x - 1)*(x + 21)*(7*x - 2)/2
Find f such that -5*f**2 - 2315*f + 6990 = 0.
-466, 3
Factor -2*f**4 - 8*f**3 - 10*f**2 - 4*f.
-2*f*(f + 1)**2*(f + 2)
Factor 2*s**3 - 22*s**2 + 38*s - 18.
2*(s - 9)*(s - 1)**2
Factor -s**2/5 + 12*s/5 - 11/5.
-(s - 11)*(s - 1)/5
Find i, given that -5*i**2 - 1115*i - 6510 = 0.
-217, -6
Suppose -h**5 + 2*h**4 + 7*h**3 - 8*h**2 - 12*h = 0. Calculate h.
-2, -1, 0, 2, 3
Factor 2*b**3/11 - 54*b**2/11 + 304*b/11 + 840/11.
2*(b - 15)*(b - 14)*(b + 2)/11
Suppose -3*q**4/5 - 12*q**3/5 + 3*q**2/5 + 48*q/5 + 36/5 = 0. Calculate q.
-3, -2, -1, 2
Find n, given that 4*n**2/3 - 394*n/9 - 22/3 = 0.
-1/6, 33
Factor d**2/2 + 880*d - 1761/2.
(d - 1)*(d + 1761)/2
Let -a**2/9 + 112*a/9 - 304 = 0. Calculate a.
36, 76
Factor -2*g**3/5 - 114*g**2/5 - 528*g/5 - 416/5.
-2*(g + 1)*(g + 4)*(g + 52)/5
Solve 3*z**2 - 1737*z = 0.
0, 579
Let 10*x**3 - 91*x**2/3 + x = 0. What is x?
0, 1/30, 3
What is o in o**5/6 - 11*o**4/6 + o**3 + 22*o**2/3 - 20*o/3 = 0?
-2, 0, 1, 2, 10
Suppose -16*m**4 + 288*m**3 + 12*m**2 - 212*m - 72 = 0. Calculate m.
-1/2, 1, 18
Factor 5*o**3 + 4*o**2 - 11*o + 2.
(o - 1)*(o + 2)*(5*o - 1)
Solve m**3/9 + 7*m**2/3 + 7*m - 85/9 = 0.
-17, -5, 1
Factor 3*w**5/5 + 96*w**4/5 + 1152*w**3/5 + 6144*w**2/5 + 12288*w/5.
3*w*(w + 8)**4/5
Factor -4*k**2 - 108*k + 360.
-4*(k - 3)*(k + 30)
Determine i so that i**3/2 + 5*i**2/2 - 1904*i + 42194 = 0.
-73, 34
Suppose 2*s**5 + 210*s**4 + 5820*s**3 + 16220*s**2 + 15810*s + 5202 = 0. What is s?
-51, -1
Find o such that -o**3/4 - 7*o**2/2 - 15*o - 18 = 0.
-6, -2
What is x in 5*x**5/3 - 45*x**3 + 90*x**2 = 0?
-6, 0, 3
Factor d**3/7 + 2*d**2 + 13*d/7.
d*(d + 1)*(d + 13)/7
Let -6*l**4 + 8*l**3 + 886*l**2/3 + 580*l/3 + 32 = 0. Calculate l.
-6, -1/3, 8
Factor -2*g**5/3 + 20*g**4/3 + 64*g**3/3 - 256*g**2.
-2*g**2*(g - 8)**2*(g + 6)/3
Factor -4*l**2 + 132*l + 592.
-4*(l - 37)*(l + 4)
Solve k**5/7 + 9*k**4/7 + 13*k**3/7 - 33*k**2/7 - 2*k + 24/7 = 0.
-6, -4, -1, 1
What is k in 87*k**4 + 2361*k**3 + 17289*k**2 + 17043*k + 2028 = 0?
-13, -1, -4/29
Suppose -15*w**4/8 - 108*w**3 + 12783*w**2/8 - 4131*w/2 + 1155/2 = 0. Calculate w.
-70, 2/5, 1, 11
Factor -2*b**2/15 + 334*b/3.
-2*b*(b - 835)/15
Let -4*w**4 + 224*w**3 - 3840*w**2 + 12800*w + 128000 = 0. Calculate w.
-4, 20
Let -15*v**5 - 1180*v**4 - 7425*v**3 - 16400*v**2 - 14460*v - 4320 = 0. What is v?
-72, -3, -2, -1, -2/3
Factor 3*u**3/4 - 1047*u**2/4 + 88677*u/4 + 469935/4.
3*(u