2/5 = 0.
-3, 154
Let -5*i**2/4 - 23*i/4 - 3 = 0. What is i?
-4, -3/5
Factor 2*h**4/3 + 4*h**3 - 10*h**2 + 16*h/3.
2*h*(h - 1)**2*(h + 8)/3
Determine i, given that 15*i**5 + 51*i**4 - 72*i**3 - 156*i**2 - 48*i = 0.
-4, -1, -2/5, 0, 2
Factor 3*w**4/7 - 6*w**3 + 39*w**2/7 + 108*w + 972/7.
3*(w - 9)**2*(w + 2)**2/7
Factor -2*g**2/11 + 406*g/11 - 404/11.
-2*(g - 202)*(g - 1)/11
Suppose b**2 + 12*b + 36 = 0. Calculate b.
-6
Determine v, given that 3*v**2 + 144*v = 0.
-48, 0
Factor -2*f**3 + 4*f**2 + 10*f - 12.
-2*(f - 3)*(f - 1)*(f + 2)
What is o in -o**2/3 - 21*o - 62/3 = 0?
-62, -1
Determine t so that -2*t**4/9 + 26*t**3/9 - 92*t**2/9 + 8*t/3 + 16 = 0.
-1, 2, 6
Factor -y**4 - 7*y**3 - 14*y**2 - 8*y.
-y*(y + 1)*(y + 2)*(y + 4)
Solve x**2 + 3372*x + 2842596 = 0.
-1686
Let -r**3/2 - 5*r**2/2 + 7*r = 0. What is r?
-7, 0, 2
Find v such that 4*v**3 - 16*v**2 - 28*v + 40 = 0.
-2, 1, 5
Suppose -o**3 + 16*o**2 - 85*o + 150 = 0. What is o?
5, 6
Find b, given that b**3/2 - 181*b**2/2 + 8099*b/2 + 8281/2 = 0.
-1, 91
What is q in -q**5/4 + 3*q**4/4 + q**3/4 - 7*q**2/4 + 1 = 0?
-1, 1, 2
Factor -5*s**2/3 + 20660*s - 64025340.
-5*(s - 6198)**2/3
Solve -4*k**5 + 8*k**3 - 4*k = 0.
-1, 0, 1
What is z in 15*z**2 + 2289*z - 918 = 0?
-153, 2/5
Factor 2*g**3/7 + 12*g**2 - 174*g/7 + 88/7.
2*(g - 1)**2*(g + 44)/7
Solve 3*f**3 + 15*f**2 - 42*f = 0.
-7, 0, 2
Factor -3267*s**4/2 + 3465*s**3 - 402*s**2 + 12*s.
-3*s*(s - 2)*(33*s - 2)**2/2
Factor 10*h**3/9 + 154*h**2/9 + 320*h/9 + 104/9.
2*(h + 2)*(h + 13)*(5*h + 2)/9
Factor -2*m**5/5 - 3*m**4/5 - m**3/5.
-m**3*(m + 1)*(2*m + 1)/5
Factor 2*a**4/7 - 80*a**3/7 + 876*a**2/7 - 1520*a/7 + 722/7.
2*(a - 19)**2*(a - 1)**2/7
Factor -18*l**5 - 124*l**4 - 2840*l**3/9 - 1072*l**2/3 - 512*l/3 - 256/9.
-2*(l + 2)**3*(9*l + 4)**2/9
Factor -4*a**2/3 - 20*a + 72.
-4*(a - 3)*(a + 18)/3
Suppose -2*q**3 - 82*q**2 + 260*q - 176 = 0. Calculate q.
-44, 1, 2
Find d, given that -d**3/2 + d**2/4 + d - 3/4 = 0.
-3/2, 1
Factor -u**3/6 - 33*u**2/2 + 50*u/3.
-u*(u - 1)*(u + 100)/6
Factor 2*z**4/9 + 194*z**3/3.
2*z**3*(z + 291)/9
Find k such that -3*k**3 + 1368*k**2 + 3*k - 1368 = 0.
-1, 1, 456
Determine w, given that -2*w**4/9 + 1112*w**3/9 - 147752*w**2/9 - 631616*w/3 - 645248 = 0.
-6, 284
Solve -4*x**3/7 + 60*x**2/7 - 32*x = 0 for x.
0, 7, 8
Factor 42*d**3 - 3400*d**2 - 166*d + 324.
2*(d - 81)*(3*d + 1)*(7*d - 2)
Suppose u**4/8 + u**3/4 - 19*u**2/8 - 5*u/2 = 0. Calculate u.
-5, -1, 0, 4
Solve 20*b**4 - 24*b**3 - 64*b**2 + 24*b + 44 = 0.
-1, 1, 11/5
Factor -4*i**3/3 + 56*i**2/3 + 356*i/3 + 152.
-4*(i - 19)*(i + 2)*(i + 3)/3
Determine m, given that 5*m**3 - 5*m**2 - 30*m = 0.
-2, 0, 3
Factor -2*b**2/11 - 172*b/11 - 150.
-2*(b + 11)*(b + 75)/11
What is z in -5*z**4/2 - 481*z**3 - 22748*z**2 + 37345*z - 28227/2 = 0?
-97, 3/5, 1
Let 2*d**4/5 - 34*d**2/5 + 72*d/5 - 8 = 0. Calculate d.
-5, 1, 2
Solve -35*c**2 + 20*c + 15 = 0 for c.
-3/7, 1
Let -2*i**3/3 - 1136*i**2/3 - 161312*i/3 = 0. Calculate i.
-284, 0
Factor 5*v**2 - 30*v.
5*v*(v - 6)
Solve 3*x**2 + 7848*x + 5132592 = 0 for x.
-1308
Determine u so that 50*u**3 - 2595*u**2 - 270*u + 520 = 0.
-1/2, 2/5, 52
Let -2*w**5/11 - 12*w**4/11 - 16*w**3/11 + 4*w**2/11 + 18*w/11 + 8/11 = 0. Calculate w.
-4, -1, 1
Factor -q**2 - 18*q + 88.
-(q - 4)*(q + 22)
Solve 4*g**3 + 888*g**2 = 0.
-222, 0
Factor -z**2/7 + 22*z/7 - 40/7.
-(z - 20)*(z - 2)/7
Factor -q**3/3 - 196*q**2/3 - 8320*q/3 + 43264.
-(q - 12)*(q + 104)**2/3
Factor -t**2 - 16*t + 17.
-(t - 1)*(t + 17)
Find t such that -18*t**5 - 32*t**4 + 8*t**3 + 36*t**2 + 10*t - 4 = 0.
-1, 2/9, 1
Let -v**4 - 4*v**3 + 29*v**2 - 24*v = 0. Calculate v.
-8, 0, 1, 3
Solve w**5/4 - 13*w**4/4 + 51*w**3/4 - 47*w**2/4 - 13*w + 15 = 0 for w.
-1, 1, 2, 5, 6
Factor 5*z**2 - 5*z.
5*z*(z - 1)
Factor -4*a**3 + 1020*a**2 - 86700*a + 2456500.
-4*(a - 85)**3
Let -3*v**3/4 + 51*v**2/4 + 111*v/4 + 57/4 = 0. Calculate v.
-1, 19
Solve -4*n**4 - 16*n**3 + 340*n**2 + 1072*n + 720 = 0.
-10, -2, -1, 9
Find q such that q**5/2 + 3*q**4 + 3*q**3/2 - 5*q**2 = 0.
-5, -2, 0, 1
Find l such that 3*l**4/7 + 9*l**3/7 - 291*l**2/7 + 459*l/7 + 108 = 0.
-12, -1, 3, 7
Factor -2*a**2 - 148*a.
-2*a*(a + 74)
Factor 3*k**4 - 18*k**3 + 33*k**2 - 18*k.
3*k*(k - 3)*(k - 2)*(k - 1)
Determine o so that -2*o**5 + 26*o**4 - 38*o**3 - 82*o**2 + 184*o - 88 = 0.
-2, 1, 2, 11
What is s in s**2/5 - 52*s/5 + 132 = 0?
22, 30
Factor d**4/4 + 7*d**3/2 - 17*d**2/4 - 15*d/2.
d*(d - 2)*(d + 1)*(d + 15)/4
What is f in 2*f**4/5 - 24*f**3/5 - 2*f**2/5 + 24*f/5 = 0?
-1, 0, 1, 12
Suppose -20*w**5 + 54*w**4 - 22*w**3 - 12*w**2 = 0. What is w?
-3/10, 0, 1, 2
Solve -2*n**3 + 140*n**2 + 738*n + 900 = 0 for n.
-3, -2, 75
Factor 3*r**3/7 + 12*r**2/7 - 9*r/7 - 54/7.
3*(r - 2)*(r + 3)**2/7
Suppose 3*b**3 + 18*b**2 + 27*b + 12 = 0. What is b?
-4, -1
Factor -i**2/3 + 440*i/3.
-i*(i - 440)/3
Let 2*p**4/17 - 24*p**3/17 + 52*p**2/17 + 24*p/17 - 54/17 = 0. What is p?
-1, 1, 3, 9
Suppose -4*v**3 + 36*v**2 + 208*v = 0. What is v?
-4, 0, 13
Suppose t**2/6 + 2*t/3 + 2/3 = 0. What is t?
-2
Let m**3/2 + 29*m**2 + 110*m + 108 = 0. What is m?
-54, -2
Factor 3*m**2 + 18765*m - 18768.
3*(m - 1)*(m + 6256)
Suppose -4*m**2 - 74*m - 36 = 0. Calculate m.
-18, -1/2
Factor c**4/3 + 6*c**3 - 20*c**2/3 - 6*c + 19/3.
(c - 1)**2*(c + 1)*(c + 19)/3
Factor 3*s**3/5 + 6*s**2/5.
3*s**2*(s + 2)/5
Factor -u**4 - 4*u**3 + 6*u**2 + 4*u - 5.
-(u - 1)**2*(u + 1)*(u + 5)
Factor 2*o**4 - 182*o**3 + 5580*o**2 - 59400*o + 54000.
2*(o - 30)**3*(o - 1)
Factor -2*u**3 + 20*u**2 - 64*u + 64.
-2*(u - 4)**2*(u - 2)
Solve i**4/3 + 22*i**3/3 + 92*i**2/3 + 122*i/3 + 17 = 0.
-17, -3, -1
Factor -3*f**3/4 + 255*f**2/4 - 2325*f/4 + 5625/4.
-3*(f - 75)*(f - 5)**2/4
Factor 20*w**2 - 105*w + 25.
5*(w - 5)*(4*w - 1)
Factor -a**4 - 5*a**3 + 13*a**2 - 7*a.
-a*(a - 1)**2*(a + 7)
Solve 2*u**2/5 + 6108*u/5 + 4663458/5 = 0 for u.
-1527
Suppose 2*p**4/13 + 380*p**3/13 - 384*p**2/13 - 380*p/13 + 382/13 = 0. What is p?
-191, -1, 1
Let -5*p**3 + 7515*p**2 - 3765015*p + 628757505 = 0. What is p?
501
Find l such that -l**2 - 1417*l + 2838 = 0.
-1419, 2
Suppose -3*m**4/5 - 6*m**3/5 + 12*m**2 - 72*m/5 = 0. Calculate m.
-6, 0, 2
Factor 3*y**2 + 12*y - 15.
3*(y - 1)*(y + 5)
Factor 2*k**4/9 - 22*k**3/3 + 12*k**2 + 496*k/9.
2*k*(k - 31)*(k - 4)*(k + 2)/9
Solve -5*o**4 - 6480*o**3 - 2093025*o**2 + 4212010*o = 0.
-649, 0, 2
Let -i**3/5 + 17*i**2/5 - 63*i/5 - 81/5 = 0. What is i?
-1, 9
Determine s so that -s**4/4 + s**3 - 3*s**2/2 + s - 1/4 = 0.
1
Solve 4*y**4 - 244*y**3 + 1904*y**2 - 1664*y = 0.
0, 1, 8, 52
Factor -12*u**4 + 11*u**3 + 97*u**2 - 136*u - 12.
-(u - 2)**2*(u + 3)*(12*u + 1)
What is b in -2*b**2/19 + 264*b/19 - 262/19 = 0?
1, 131
Suppose f**2/8 - 45*f/2 + 2025/2 = 0. What is f?
90
Determine g so that -g**3/3 + 10*g**2/3 - 28*g/3 + 8 = 0.
2, 6
Determine x so that 1175*x**5/3 - 330*x**4 - 947*x**3/3 + 982*x**2/3 - 76*x + 8/3 = 0.
-1, 2/47, 2/5, 1
Factor -10*g**3 - 67*g**2 - 104*g - 47.
-(g + 1)**2*(10*g + 47)
Find n such that -14*n**3 + 2160*n**2 - 83622*n + 23716 = 0.
2/7, 77
Factor 2*y**3 - 148*y**2 + 290*y - 144.
2*(y - 72)*(y - 1)**2
Let -13*z**5/3 - 67*z**4/3 - 38*z**3 - 68*z**2/3 - 8*z/3 = 0. Calculate z.
-2, -1, -2/13, 0
Factor -3*k**4/2 + 282*k**3 - 14334*k**2 + 101520*k - 194400.
-3*(k - 90)**2*(k - 4)**2/2
Determine q so that -q**3 + 9*q**2 - 18*q = 0.
0, 3, 6
Factor l**3/4 + 390*l**2 + 202800*l + 35152000.
(l + 520)**3/4
Suppose -p**3/2 - 29*p**2/2 - 247*p/2 - 507/2 = 0. Calculate p.
-13, -3
Factor -2*l**2/7 + 222*l/7 + 452/7.
-2*(l - 113)*(l + 2)/7
Factor 10*v**4 - 666*v**3 + 392*v**2 + 264*v.
2*v*(v - 66)*(v - 1)*(5*v + 2)
Determine g, given that -3*g**4/2 - 249*g**3/2 - 2973*g**2 - 15846*g - 12996 = 0.
-38, -6, -1
Solve -19*a**2/9 - 26*a/3 - 8/9 = 0.
-4, -2/19
Factor m**3/10 - 179*m**2/10 + 703*m/10 - 105/2.
(m - 175)*(m - 3)*(m - 1)/10
Factor 44*p**2 - 10656*p + 1936.
4*(p - 242)*(11*p - 2)
Factor 2*s**2/5 + 78*s/5 - 88.
2*(s - 5)*(s + 44)/5
What is s in 2*s**4/3 - 278*s**3/3 + 12430*s**2/3 - 175450*s/3 = 0?
0, 29, 55
Factor -x**3/2 + 5*x**2.
-x**2*(x - 10)/2
Factor -4*f**3 - 24*f**2 + 252*f - 432.
-4*(f - 3)**2*(f + 12)
Suppose -2*d**2 + 18*d + 140 = 0. What is d?
-5, 14
Determine c, given that 15*c**5 - 66*c**4 + 54*c**3 + 48*c**2 - 69*c + 18 = 0.
-1, 2/5, 1, 3
Factor -h**2 + 121.
-(h - 11)*(h +