3/7 - 583166*v**2 + 3189222*v/7 + 910116/7 = 0.
-477, -2/9, 1
Suppose -4*i**3 - 28*i**2 + 4*i + 28 = 0. Calculate i.
-7, -1, 1
Find h such that 3*h**3/7 + 12*h**2/7 - 33*h/7 - 90/7 = 0.
-5, -2, 3
Factor 43*k**2 + 82*k - 8.
(k + 2)*(43*k - 4)
Find y such that 4*y**5/9 - 14*y**4/9 + 4*y**3/3 + 8*y**2/9 - 16*y/9 + 2/3 = 0.
-1, 1, 3/2
Factor -3*b**2 + 465*b + 8208.
-3*(b - 171)*(b + 16)
Solve 2*t**2/11 - 134*t/11 - 136/11 = 0.
-1, 68
Determine r, given that 3*r**2 - 411*r - 414 = 0.
-1, 138
Let -3*p**2 - 39*p + 204 = 0. Calculate p.
-17, 4
Factor -3*i**4 - 51*i**3 - 288*i**2 - 624*i - 384.
-3*(i + 1)*(i + 4)**2*(i + 8)
Suppose -1715*a**4 - 35280*a**3 - 271320*a**2 - 924800*a - 1179120 = 0. What is a?
-6, -34/7
Solve 4*q**2 - 132*q - 592 = 0.
-4, 37
Let -4*y**2 + 244*y = 0. Calculate y.
0, 61
Factor 3*p**3/4 - 15*p**2 + 51*p - 48.
3*(p - 16)*(p - 2)**2/4
Suppose -g**2/2 - 2*g + 5/2 = 0. Calculate g.
-5, 1
Factor -3*n**3 - 531*n**2.
-3*n**2*(n + 177)
Find d, given that -2*d**2/13 + 28*d/13 + 414/13 = 0.
-9, 23
Solve 2*l**4 + 28*l**3 - 32*l**2 - 448*l = 0.
-14, -4, 0, 4
What is m in -m**2/2 - 21*m/2 = 0?
-21, 0
What is p in 2*p**4/9 - 4*p**3/3 + 8*p**2/3 - 16*p/9 = 0?
0, 2
What is x in -44*x**2/3 - 68*x/3 + 40/3 = 0?
-2, 5/11
Determine b, given that 52*b**3 + 3320*b**2 - 512*b = 0.
-64, 0, 2/13
Factor -o**3/5 - 23*o**2/5 + 26*o/5 + 48/5.
-(o - 2)*(o + 1)*(o + 24)/5
Find z such that -2*z**3/7 - 22*z**2/7 + 80*z/7 - 8 = 0.
-14, 1, 2
Let -4*u**2/3 - 110*u/9 - 182/9 = 0. Calculate u.
-7, -13/6
What is j in -3*j**4/7 + 6*j**3/7 + 3*j**2/7 - 6*j/7 = 0?
-1, 0, 1, 2
Solve -o**2 + 11114*o - 30880249 = 0 for o.
5557
Factor -3*o**3/8 - 15*o**2/8 - 9*o/8 + 27/8.
-3*(o - 1)*(o + 3)**2/8
Factor -h**2/3 - 16*h/3 - 13.
-(h + 3)*(h + 13)/3
Determine i, given that -i**4/6 - i**3/6 + i**2/2 + 5*i/6 + 1/3 = 0.
-1, 2
Factor h**4 - 312*h**3 + 36504*h**2 - 1898208*h + 37015056.
(h - 78)**4
Factor -35*f**4 + 60*f**3 + 20*f**2.
-5*f**2*(f - 2)*(7*f + 2)
Suppose 2*n**2/5 - 60*n + 298/5 = 0. Calculate n.
1, 149
Let 4*c**5 + 64*c**4 + 324*c**3 + 728*c**2 + 752*c + 288 = 0. Calculate c.
-9, -2, -1
Determine g, given that 3*g**5 - 9*g**4 - 3*g**3 + 21*g**2 - 12 = 0.
-1, 1, 2
Solve 2*b**5/3 + 24*b**4 + 216*b**3 = 0 for b.
-18, 0
Solve 16*j**4 - 1488*j**3 + 35332*j**2 - 34224*j + 8464 = 0.
1/2, 46
Factor 2*y**2 - 36*y - 126.
2*(y - 21)*(y + 3)
Factor 4*f**3 - 52*f**2 + 88*f.
4*f*(f - 11)*(f - 2)
Factor 4*s**3 + 80*s**2 + 148*s + 72.
4*(s + 1)**2*(s + 18)
Determine s so that 4*s**4 + 24*s**3 - 1596*s**2 + 3104*s - 1536 = 0.
-24, 1, 16
Solve a**2/2 + 720*a = 0.
-1440, 0
What is d in -d**4 + 29*d**3 - 95*d**2 - 125*d = 0?
-1, 0, 5, 25
Solve 8*g**2 + 9*g + 1 = 0.
-1, -1/8
Let 3*m**3 + 150*m**2 + 1428*m + 2280 = 0. What is m?
-38, -10, -2
Factor -2*q**2/5 + 6*q + 108/5.
-2*(q - 18)*(q + 3)/5
Factor 2*i**4 + 15*i**3 + 19*i**2 + 6*i.
i*(i + 1)*(i + 6)*(2*i + 1)
Factor 3*c**5 + 24*c**4 - 3*c**3 - 24*c**2.
3*c**2*(c - 1)*(c + 1)*(c + 8)
Let 2*u**3 - 146*u**2 + 144*u = 0. Calculate u.
0, 1, 72
Suppose 2*j**3/13 + 14930*j**2/13 - 29866*j/13 + 14934/13 = 0. Calculate j.
-7467, 1
What is s in -3*s**2 - 150*s - 1875 = 0?
-25
Factor -2*p**4/11 - 280*p**3 - 161700*p**2 - 41503000*p - 3994663750.
-2*(p + 385)**4/11
Suppose 2*x**3/9 - 14*x**2/3 + 16*x - 136/9 = 0. What is x?
2, 17
Factor -484*g**4 + 36520*g**3 - 678868*g**2 - 378480*g - 51984.
-4*(g - 38)**2*(11*g + 3)**2
Factor 5*l**2 + 1340*l - 2700.
5*(l - 2)*(l + 270)
Let 8*t**4 - 288*t**3 - 326*t**2 + 1074*t + 1332 = 0. Calculate t.
-3/2, 2, 37
Factor 75*r**4/4 - 8415*r**3/4 - 1692*r**2 - 339*r.
3*r*(r - 113)*(5*r + 2)**2/4
Let -r**3/5 - 153*r**2/10 - 113*r/5 - 15/2 = 0. Calculate r.
-75, -1, -1/2
Factor -4*x**5 - 88*x**4 - 492*x**3 - 1160*x**2 - 1232*x - 480.
-4*(x + 1)*(x + 2)**3*(x + 15)
Suppose 10*f**3/3 - 586*f**2/3 + 1472*f/3 - 896/3 = 0. What is f?
1, 8/5, 56
Solve 4*b**5/7 - 212*b**4/7 + 3100*b**3/7 - 7484*b**2/7 - 800*b/7 + 10000/7 = 0 for b.
-1, 2, 25
Factor -q**3/3 - 9*q**2 + 595*q + 52675/3.
-(q - 43)*(q + 35)**2/3
Factor 3*z**2 - 1548*z + 199692.
3*(z - 258)**2
Suppose 2*v**5 + 2*v**4 - 150*v**3 + 350*v**2 + 500*v = 0. Calculate v.
-10, -1, 0, 5
Factor -4*u**3 + 24*u**2 + 60*u + 32.
-4*(u - 8)*(u + 1)**2
Suppose 5*f**5 - 55*f**4 + 10*f**3 + 730*f**2 - 15*f - 675 = 0. Calculate f.
-3, -1, 1, 5, 9
Factor 3*q**2/4 - 171*q/2 + 9747/4.
3*(q - 57)**2/4
Solve -3*a**3/4 - 35*a**2/4 - 11*a/2 = 0 for a.
-11, -2/3, 0
Factor 5*x**4 - 25*x**3 - 405*x**2 + 865*x - 440.
5*(x - 11)*(x - 1)**2*(x + 8)
Solve -9*c**5 + 2*c**4 + 594*c**3 - 1284*c**2 + 823*c - 126 = 0.
-9, 2/9, 1, 7
Determine i, given that i**5/8 - i**4/2 + 3*i**3/8 = 0.
0, 1, 3
Suppose z**4/5 + 12*z**3/5 - 3*z**2 - 262*z/5 + 264/5 = 0. What is z?
-11, -6, 1, 4
Solve -r**4/2 - 3*r**3/2 + r**2 + 6*r + 4 = 0 for r.
-2, -1, 2
Factor -b**3 - 7*b**2 - 12*b.
-b*(b + 3)*(b + 4)
Let f**4/3 - 57*f**3 + 2520*f**2 - 7056*f = 0. Calculate f.
0, 3, 84
Let 2*o**3/11 - 428*o**2/11 - 198*o - 2628/11 = 0. Calculate o.
-3, -2, 219
Find c, given that 162*c**5/5 + 72*c**4 - 7576*c**3/5 - 38016*c**2/5 - 11136*c - 5120 = 0.
-4, -10/9, 8
Solve -7*n**5/6 + 13*n**4/3 - 4*n**3/3 - 13*n**2/3 + 5*n/2 = 0.
-1, 0, 5/7, 1, 3
Factor -5*v**4 + 5*v**3 + 30*v**2 - 20*v - 40.
-5*(v - 2)**2*(v + 1)*(v + 2)
Factor -3*d**3 + 402*d**2 - 16800*d + 206976.
-3*(d - 56)**2*(d - 22)
Factor -3*h**2 + 105*h + 468.
-3*(h - 39)*(h + 4)
Let h**2/2 - 11*h/2 = 0. What is h?
0, 11
Suppose -5*t**5 + 48*t**4 - 120*t**3 - 26*t**2 + 237*t + 90 = 0. Calculate t.
-1, -2/5, 3, 5
Factor -2*r**2/3 + 1552*r/3 - 301088/3.
-2*(r - 388)**2/3
Factor 22898*n**5/15 - 2996*n**4/15 + 98*n**3/15.
2*n**3*(107*n - 7)**2/15
Suppose -u**4/2 - 2*u**3 - 3*u**2/2 = 0. What is u?
-3, -1, 0
What is u in 7*u**3/5 + 6809*u**2/5 - 8764*u/5 + 1948/5 = 0?
-974, 2/7, 1
Determine v, given that 10*v**5 + 45*v**4 + 45*v**3 - 40*v**2 - 60*v = 0.
-2, -3/2, 0, 1
Factor 4*a**4 - 1572*a**3 - 12*a**2 + 4724*a - 3144.
4*(a - 393)*(a - 1)**2*(a + 2)
Let 60*c**2 - 65*c + 5 = 0. Calculate c.
1/12, 1
Factor 3*c**2 + 246*c + 936.
3*(c + 4)*(c + 78)
Let 5*k**4 - 240*k**3 - 500*k**2 = 0. Calculate k.
-2, 0, 50
Let -f**5 + 3*f**4 + 4*f**3 = 0. Calculate f.
-1, 0, 4
Solve -3*p**5 + 39*p**4 - 114*p**3 - 156*p**2 + 504*p = 0 for p.
-2, 0, 2, 6, 7
Factor 4*k**2 - 304*k.
4*k*(k - 76)
Factor c**2 + 92*c - 2240.
(c - 20)*(c + 112)
Factor 5*v**3 + 30*v**2 - 75*v + 40.
5*(v - 1)**2*(v + 8)
What is x in 32*x**5/13 + 112*x**4/13 - 30*x**3/13 - 200*x**2/13 + 98*x/13 - 12/13 = 0?
-3, -2, 1/4, 1
Solve 3*i**4/7 - 1242*i**3/7 + 131007*i**2/7 - 509220*i/7 + 504300/7 = 0.
2, 205
Factor 2*w**2/17 + 44*w/17 + 10.
2*(w + 5)*(w + 17)/17
Suppose -3*g**4 - 6*g**3 + 21*g**2 - 12*g = 0. What is g?
-4, 0, 1
Suppose 2*f**5/5 + 8*f**4/5 + 2*f**3/5 - 12*f**2/5 = 0. What is f?
-3, -2, 0, 1
Factor -4*z**3/9 - 112*z**2/9 - 884*z/9 - 1352/9.
-4*(z + 2)*(z + 13)**2/9
Factor 3*t**2/5 + 294*t/5 + 291/5.
3*(t + 1)*(t + 97)/5
Let 2*o**5 - 18*o**4 - 98*o**3 - 78*o**2 = 0. What is o?
-3, -1, 0, 13
Factor 3*u**2 - 3654*u + 1112643.
3*(u - 609)**2
Factor o**3/4 + 21*o**2/2 + 144*o + 648.
(o + 12)**2*(o + 18)/4
Determine w, given that -3*w**5 + 3*w**4 + 27*w**3 - 15*w**2 - 48*w + 36 = 0.
-2, 1, 3
Factor -7*x**3/2 - 347*x**2/2 - 4225*x/2 + 1875/2.
-(x + 25)**2*(7*x - 3)/2
Factor -2*u**4 - 16*u**3 - 46*u**2 - 56*u - 24.
-2*(u + 1)*(u + 2)**2*(u + 3)
Factor -2*p**3/5 - 72*p**2/5 - 26*p + 204/5.
-2*(p - 1)*(p + 3)*(p + 34)/5
Determine q, given that -5*q**2 - 460*q - 455 = 0.
-91, -1
Let 4*c**3/3 + 4*c**2 + 8*c/3 = 0. What is c?
-2, -1, 0
Let -3*v**3/2 + 27*v**2/2 + 15*v = 0. Calculate v.
-1, 0, 10
Solve 21*b**4/5 + 36*b**3/5 - 117*b**2/5 - 96*b/5 + 36/5 = 0.
-3, -1, 2/7, 2
Factor -4*l**4 + 20*l**3 - 12*l**2 - 20*l + 16.
-4*(l - 4)*(l - 1)**2*(l + 1)
Determine t so that -t**2/11 - 502*t/11 - 63001/11 = 0.
-251
Solve 3*h**5 - 243*h**4 + 5028*h**3 - 3828*h**2 - 20160*h + 19200 = 0.
-2, 1, 2, 40
Factor 12*r**3/5 + 368*r**2/5 - 1804*r/5 + 112.
4*(r - 4)*(r + 35)*(3*r - 1)/5
Factor 2*h**4 + 52*h**3 + 378*h**2 + 432*h - 864.
2*(h - 1)*(h + 3)*(h + 12)**2
Factor 3993*k**3/8 + 14157*k**2/8 + 16731*k/8 + 6591/8.
3*(11*k + 13)**3/8
Let 2*i**2/7 - 4*i/7 - 16/7 = 0. What is i?
-2, 4
Factor 3*q**3/2 + 5031*q**2 + 5624658*q + 2096122548.
3*(q + 