Find i such that 3*i**4 + 21*i**3 - 15*i**2 - 225*i = 0.
-5, 0, 3
Solve -4*j**3 + 12*j**2 + 112*j = 0.
-4, 0, 7
Suppose 2*f**3/7 - 384*f**2/7 + 18042*f/7 + 37636/7 = 0. What is f?
-2, 97
Determine i, given that 3*i**3 + 51*i**2 + 120*i - 900 = 0.
-10, 3
Factor -3*q**5/2 - 75*q**4/2 - 285*q**3 - 645*q**2 - 1155*q/2 - 363/2.
-3*(q + 1)**3*(q + 11)**2/2
Factor 4*b**2/5 - 1048*b/5 + 68644/5.
4*(b - 131)**2/5
Factor 68*n**2 + 144*n/5.
4*n*(85*n + 36)/5
Determine k, given that -3*k**2 - 2679*k - 2676 = 0.
-892, -1
Suppose 2*r**2/13 + 48*r/13 + 288/13 = 0. What is r?
-12
Suppose -l**3 - 972*l**2 - 233253*l + 1434726 = 0. Calculate l.
-489, 6
Let -27*l**4/7 + 549*l**3/7 - 165*l**2/7 - 297*l/7 - 60/7 = 0. Calculate l.
-1/3, 1, 20
Factor 2*h**2 + 602*h - 604.
2*(h - 1)*(h + 302)
Factor -15*a**4 - 50*a**3 + 220*a**2 - 120*a.
-5*a*(a - 2)*(a + 6)*(3*a - 2)
Suppose -4*u**4/7 + 192*u**3/7 + 600*u**2/7 + 608*u/7 + 204/7 = 0. Calculate u.
-1, 51
Suppose 2*i**5/7 - 22*i**4/7 + 50*i**3/7 - 10*i**2/7 - 52*i/7 + 32/7 = 0. What is i?
-1, 1, 2, 8
Suppose 54*t**5 + 84*t**4 - 110*t**3 - 100*t**2 + 56*t + 16 = 0. Calculate t.
-2, -1, -2/9, 2/3, 1
Factor -3*w**3 + 63*w**2 - 42*w - 360.
-3*(w - 20)*(w - 3)*(w + 2)
Let 24*j**3 - 220*j**2 - 828*j + 144 = 0. Calculate j.
-3, 1/6, 12
Factor -p**2/2 + 11*p - 20.
-(p - 20)*(p - 2)/2
Factor h**2 - 68*h - 2093.
(h - 91)*(h + 23)
Determine w, given that 2*w**2/3 + 50*w/3 - 52/3 = 0.
-26, 1
Suppose -y**2 - 49*y - 528 = 0. What is y?
-33, -16
Factor x**3/3 - 8*x**2/3 + 13*x/3 - 2.
(x - 6)*(x - 1)**2/3
What is s in 4*s**2 + 64*s + 220 = 0?
-11, -5
Factor 3*l**4 + 84*l**3 + 663*l**2 + 1014*l.
3*l*(l + 2)*(l + 13)**2
Factor -u**2/4 + 6*u - 23/4.
-(u - 23)*(u - 1)/4
Determine m, given that 2*m**3/15 - 56*m**2/5 - 58*m/5 + 68/3 = 0.
-2, 1, 85
Determine n so that n**4/8 + 4*n**3 + 15*n**2 - 144*n - 702 = 0.
-26, -6, 6
Factor -3*b**2 - 51*b - 48.
-3*(b + 1)*(b + 16)
Find q, given that q**5/5 - q**4 - 23*q**3/5 - 11*q**2/5 + 22*q/5 + 16/5 = 0.
-2, -1, 1, 8
Factor 5*i**4 - 220*i**3 - 455*i**2 - 230*i.
5*i*(i - 46)*(i + 1)**2
Solve 2*k**5/7 + 2*k**4/7 - 164*k**3/7 + 160*k**2/7 = 0 for k.
-10, 0, 1, 8
Suppose h**4/2 + 59*h**3/2 - 61*h**2/2 - 59*h/2 + 30 = 0. Calculate h.
-60, -1, 1
Factor 2*t**5 + 18*t**4 + 50*t**3 + 54*t**2 + 20*t.
2*t*(t + 1)**2*(t + 2)*(t + 5)
Suppose -o**4/2 + 10*o**3 + 23*o**2/2 - 21*o = 0. Calculate o.
-2, 0, 1, 21
Solve -2*q**5/15 - 8*q**4/15 + 4*q**3/3 + 128*q**2/15 + 58*q/5 + 24/5 = 0.
-3, -1, 4
Factor 2*a**3/11 + 2*a**2 - 160*a/11.
2*a*(a - 5)*(a + 16)/11
Solve -3*n**3 - 534*n**2 - 1575*n = 0 for n.
-175, -3, 0
Find j, given that j**4 + 306*j**3 + 23408*j**2 - 306*j - 23409 = 0.
-153, -1, 1
Solve -2*y**2/7 - 160*y/7 - 66 = 0.
-77, -3
Find u such that -3*u**2 - 9*u + 54 = 0.
-6, 3
Solve -3*f**2/2 - 63*f - 351/2 = 0.
-39, -3
Determine f so that -f**4 - 38*f**3 - 516*f**2 - 2970*f - 6075 = 0.
-15, -9, -5
Factor -2*r**2/13 + 192*r/13 - 4608/13.
-2*(r - 48)**2/13
Suppose -2*u**4/3 + 142*u**3/3 - 136*u**2 = 0. What is u?
0, 3, 68
What is d in -d**5 + 6*d**4 - 11*d**3 + 6*d**2 = 0?
0, 1, 2, 3
Factor 2*f**2/3 + 280*f/3 - 94.
2*(f - 1)*(f + 141)/3
What is z in -z**2/12 + 25*z/6 + 18 = 0?
-4, 54
What is o in -2*o**5 + 14*o**4 + 4*o**3 - 28*o**2 - 2*o + 14 = 0?
-1, 1, 7
Suppose 5*u**3 + 1735*u**2 + 3435*u - 5175 = 0. What is u?
-345, -3, 1
Let 3*t**5 - 36*t**4 + 63*t**3 - 30*t**2 = 0. What is t?
0, 1, 10
Factor z**2 - 97*z - 510.
(z - 102)*(z + 5)
Solve -5*j**3 + 125*j**2 + 130*j = 0 for j.
-1, 0, 26
Suppose t**5/3 + 13*t**4/3 + 46*t**3/3 - 10*t**2/3 - 175*t/3 + 125/3 = 0. What is t?
-5, 1
Factor 4*a**2 + 6792*a + 2883204.
4*(a + 849)**2
Factor -u**3 + 11*u**2 - 10*u.
-u*(u - 10)*(u - 1)
Let -p**2/4 + 73*p/4 - 105/2 = 0. Calculate p.
3, 70
Determine i so that -6*i**5 - 27*i**4/2 + 3*i**3/4 + 27*i**2/4 - 3*i/2 = 0.
-2, -1, 0, 1/4, 1/2
Determine i so that -5*i**3 - 195*i**2 + 210*i + 400 = 0.
-40, -1, 2
Factor q**2/3 - 4*q - 13/3.
(q - 13)*(q + 1)/3
Suppose 2*m**4/17 - 62*m**3/17 - 346*m**2/17 - 498*m/17 - 216/17 = 0. Calculate m.
-3, -1, 36
Determine b, given that -b**4 - 11*b**3 - 45*b**2 - 81*b - 54 = 0.
-3, -2
Factor 12*j**3 + 3*j**2 - 15*j.
3*j*(j - 1)*(4*j + 5)
Factor d**2/6 + 4*d/3 + 8/3.
(d + 4)**2/6
Factor 5*y**2/6 + 85*y/2 - 265/3.
5*(y - 2)*(y + 53)/6
Factor -4*k**3 - 68*k**2 - 252*k + 324.
-4*(k - 1)*(k + 9)**2
Factor 4*i**4 - 28*i**3 + 56*i**2 - 32*i.
4*i*(i - 4)*(i - 2)*(i - 1)
Factor 2*b**4 - 184*b**3 + 354*b**2 + 540*b.
2*b*(b - 90)*(b - 3)*(b + 1)
Determine j, given that j**3/4 + 89*j**2/4 + 1935*j/4 - 2025/4 = 0.
-45, 1
Solve -w**2 + 4 = 0.
-2, 2
Factor -c**3/2 + 477*c**2/2 - 237*c - 476.
-(c - 476)*(c - 2)*(c + 1)/2
Factor -x**3/2 - 27*x**2/4 + 33*x - 35.
-(x - 2)**2*(2*x + 35)/4
What is i in 3*i**2/4 - 183*i/2 + 363/4 = 0?
1, 121
Factor m**3/7 - 20*m**2/7 + 11*m + 242/7.
(m - 11)**2*(m + 2)/7
Determine d, given that d**3/6 + d**2/2 - 2*d/3 - 2 = 0.
-3, -2, 2
Find t such that -4*t**5/5 + 16*t**4 - 272*t**3/5 + 256*t**2/5 = 0.
0, 2, 16
Factor 2*p**4 + 136*p**3 + 970*p**2 + 500*p - 6000.
2*(p - 2)*(p + 5)**2*(p + 60)
Find z such that 4*z**4/3 + 68*z**3/3 - 244*z**2/3 - 68*z/3 + 80 = 0.
-20, -1, 1, 3
Find q, given that q**4 + 7*q**3 + 6*q**2 = 0.
-6, -1, 0
Let -2*f**2/5 + 306*f/5 = 0. What is f?
0, 153
Find z such that -729*z**5 + 12393*z**4/2 - 13284*z**3 + 12204*z**2 - 5184*z + 840 = 0.
2/3, 35/6
Factor 3*q**3 - 108*q**2 - 4251*q - 4140.
3*(q - 60)*(q + 1)*(q + 23)
Let -27*y**4 + 72*y**3 + 24*y**2 - 96*y - 48 = 0. What is y?
-2/3, 2
Let -2*t**2/3 + 26*t/3 - 44/3 = 0. Calculate t.
2, 11
Determine l so that 2*l**5/15 - 4*l**4/3 - 46*l**3/15 - 8*l**2/5 = 0.
-1, 0, 12
Solve -405*u**5 + 990*u**4 + 2220*u**3 + 1160*u**2 + 160*u = 0.
-2/3, -2/9, 0, 4
Factor 9*i**2/5 - 96*i/5.
3*i*(3*i - 32)/5
Factor 98*p**3/9 - 2030*p**2/9 - 586*p/9 - 14/3.
2*(p - 21)*(7*p + 1)**2/9
Determine f, given that -3*f**3 - 93*f**2 - 561*f + 2601 = 0.
-17, 3
Factor 21*u**3/2 - 261*u**2/2 + 339*u/2 - 99/2.
3*(u - 11)*(u - 1)*(7*u - 3)/2
Solve -10*u**5/9 - 16*u**4/9 + 106*u**3/3 + 196*u**2/9 - 728*u/9 + 80/3 = 0.
-6, -2, 2/5, 1, 5
Factor -2*j**2/3 + 4*j/3.
-2*j*(j - 2)/3
Factor 2*q**3/17 + 16*q**2/17 + 18*q/17 - 36/17.
2*(q - 1)*(q + 3)*(q + 6)/17
Factor 3*r**4/4 + 6*r**3 - 363*r**2/4 + 84*r.
3*r*(r - 7)*(r - 1)*(r + 16)/4
Let 7*i**2 - 27*i + 26 = 0. Calculate i.
13/7, 2
Factor 2*x**3/7 - 332*x**2/7 - 670*x/7 - 48.
2*(x - 168)*(x + 1)**2/7
Let 2*j**2/7 - 22*j/7 + 36/7 = 0. Calculate j.
2, 9
Factor -5*q**3 + 555*q**2 - 20535*q + 253265.
-5*(q - 37)**3
Factor -2*b**3/5 - 72*b**2/5 + 254*b/5 + 156.
-2*(b - 5)*(b + 2)*(b + 39)/5
Find x such that x**5/2 - 5*x**4/2 + 10*x**2 - 8*x = 0.
-2, 0, 1, 2, 4
Find y, given that 2*y**2/9 + 22*y/9 - 8/3 = 0.
-12, 1
Factor -5*y**2 + 67090*y - 225053405.
-5*(y - 6709)**2
Factor -8*a**4/15 - 122*a**3/15 - 2*a**2.
-2*a**2*(a + 15)*(4*a + 1)/15
Factor -4*y**2 - 24*y - 20.
-4*(y + 1)*(y + 5)
Factor 3*l**3.
3*l**3
Factor 4*v**3 + 6020*v**2 - 6024*v.
4*v*(v - 1)*(v + 1506)
Factor t**2/6 - 34*t/3 + 578/3.
(t - 34)**2/6
Suppose -5*y**2 + 235*y + 1020 = 0. What is y?
-4, 51
Let 2*y**3/9 + 94*y**2/3 - 128*y + 1160/9 = 0. Calculate y.
-145, 2
Factor -3*f**2/7 - 60*f - 1632/7.
-3*(f + 4)*(f + 136)/7
Factor -2*p**2 - 1666*p.
-2*p*(p + 833)
Solve 3*q**2/4 + 45*q/4 = 0 for q.
-15, 0
Factor x**2 - 191*x.
x*(x - 191)
Suppose 5*j**3/2 - 35*j**2/3 + 65*j/6 + 5 = 0. Calculate j.
-1/3, 2, 3
Find b, given that 6*b**3 + 129*b**2 + 660*b - 363 = 0.
-11, 1/2
Factor -5*r**2 - 340*r - 4800.
-5*(r + 20)*(r + 48)
Determine c, given that -5*c**2 + 6090*c - 1854405 = 0.
609
Factor 5*x**3 - 215*x**2.
5*x**2*(x - 43)
Let 4*g**4 + 168*g**3 + 1504*g**2 + 4440*g + 3100 = 0. Calculate g.
-31, -5, -1
What is y in -4*y**2 - 14*y - 12 = 0?
-2, -3/2
Determine h, given that -h**5 - 23*h**4 + 24*h**3 = 0.
-24, 0, 1
Solve d**4 + 46*d**3 = 0 for d.
-46, 0
Suppose -g**3/7 - 30*g**2/7 - 8*g = 0. What is g?
-28, -2, 0
Factor -x**3/3 + 31*x**2 - 961*x + 29791/3.
-(x - 31)**3/3
Factor 3*m**4/7 + 10*m**3/7 - 24*m**2/7 - 90*m/7 - 27/7.
(m - 3)*(m + 3)**2*(3*m + 1)/7
Factor 2*z**2/3 - 244*z/3.
2*z*(z - 122)/3
Factor -4*r**3/7 + 108*r**2/7.
-4*r**2*(r - 27)/7
Let -3*f**2 + 126*f + 552 = 0. What is f?
-4, 46
Factor -s**3 - 131*s**2 + 813*s - 1233.
-(s - 3)**2*(