128*c - 7840 = 0. Calculate c.
-28, -5
Determine m, given that -m**4 + 2*m**3 + 3*m**2 = 0.
-1, 0, 3
Factor -t**5 + 20*t**4 - 120*t**3 + 320*t**2 - 400*t + 192.
-(t - 12)*(t - 2)**4
Find t, given that -t**5/4 - t**4/4 + 13*t**3/4 + 13*t**2/4 - 9*t - 9 = 0.
-3, -2, -1, 2, 3
Suppose 4*z**3/7 - 4*z/7 = 0. What is z?
-1, 0, 1
Factor -2*f**2 + 8.
-2*(f - 2)*(f + 2)
Suppose -3*b**5 + 21*b**4 - 15*b**3 - 21*b**2 + 18*b = 0. What is b?
-1, 0, 1, 6
Find g, given that -3*g**3/8 - 33*g**2/4 - 483*g/8 - 147 = 0.
-8, -7
Determine v, given that 8*v**2 - 84*v + 40 = 0.
1/2, 10
Find o, given that 30*o**2 - 2155*o - 360 = 0.
-1/6, 72
Factor -4*t**2/3 - 512*t/3 - 16384/3.
-4*(t + 64)**2/3
Suppose 4*x**3/7 + 48*x**2/7 + 44*x/7 = 0. Calculate x.
-11, -1, 0
Factor i**4/2 - 7*i**3 + 33*i**2/2 + 2*i - 22.
(i - 11)*(i - 2)**2*(i + 1)/2
Suppose d**3/4 + 561*d**2/2 + 78399*d - 157922 = 0. Calculate d.
-562, 2
Factor u**2/2 + 27*u + 729/2.
(u + 27)**2/2
Find x, given that -2*x**3 - 28*x**2 - 130*x - 200 = 0.
-5, -4
Factor -5*a**3 + 350*a**2 - 345*a.
-5*a*(a - 69)*(a - 1)
Find u such that 4*u**3 + 164*u**2 - 168*u = 0.
-42, 0, 1
Factor -a**3/5 - 6*a**2/5 - 9*a/5 - 4/5.
-(a + 1)**2*(a + 4)/5
Factor 5*w**2 + 6040*w + 1824080.
5*(w + 604)**2
What is z in z**5/2 - 61*z**4 - 64*z**3 + 309*z**2 - 369*z/2 = 0?
-3, 0, 1, 123
Factor 3*l**4 - 21*l**3 + 51*l**2 - 51*l + 18.
3*(l - 3)*(l - 2)*(l - 1)**2
Factor s**2/5 + 526*s/5 + 69169/5.
(s + 263)**2/5
Factor x**2 + 20*x + 36.
(x + 2)*(x + 18)
Find z such that -2*z**3 + 164*z**2 - 3192*z - 7056 = 0.
-2, 42
Let -z**5/4 + z**4/4 + 77*z**3/4 + 139*z**2/4 - 19*z - 35 = 0. What is z?
-7, -2, -1, 1, 10
Determine h, given that -h**4/10 + 44*h**3/5 + 73*h**2/2 + 138*h/5 = 0.
-3, -1, 0, 92
Factor 4*a**4/5 + 48*a**3/5 - 12*a**2/5 - 1736*a/5 - 4704/5.
4*(a - 6)*(a + 4)*(a + 7)**2/5
Determine x, given that 56169*x**2/11 + 474*x/11 + 1/11 = 0.
-1/237
Factor g**2 - 3107*g - 3108.
(g - 3108)*(g + 1)
Factor -2*z**4 - 212*z**3 - 5826*z**2 - 11024*z - 5408.
-2*(z + 1)**2*(z + 52)**2
Determine x so that -25*x**5 - 65*x**4/2 + 297*x**3/2 + 53*x**2 - 34*x - 12 = 0.
-3, -2/5, 1/2, 2
Factor -5*l**4 + 3045*l**3 + 9165*l**2 + 9175*l + 3060.
-5*(l - 612)*(l + 1)**3
Factor -5*b**3/6 + 245*b**2/6 - 445*b/2 + 645/2.
-5*(b - 43)*(b - 3)**2/6
Let -21*p**4/2 - 279*p**3/2 - 39*p**2 = 0. What is p?
-13, -2/7, 0
Solve -6*a**2/7 - 416*a/7 + 40 = 0 for a.
-70, 2/3
Factor z**3/7 + 11*z**2/7 - 8*z + 60/7.
(z - 2)**2*(z + 15)/7
Find g, given that g**5/8 + 3*g**4/2 + g**3 - 17*g**2/4 - 9*g/8 + 11/4 = 0.
-11, -2, -1, 1
Let 2*k**4 - 4*k**3 - 14*k**2 - 8*k = 0. Calculate k.
-1, 0, 4
What is x in -5*x**3/7 + 102*x**2/7 - 429*x/7 - 968/7 = 0?
-8/5, 11
Solve -o**3/2 + 96*o**2 = 0.
0, 192
Factor 4851*a**3 - 3066*a**2 + 564*a - 24.
3*(7*a - 2)**2*(33*a - 2)
Suppose 2*g**4/7 + 2*g**3 + 4*g**2 + 16*g/7 = 0. Calculate g.
-4, -2, -1, 0
Let 5*w**3 - 35*w**2 - 330*w + 360 = 0. What is w?
-6, 1, 12
Solve x**4 + 733*x**3 - 2944*x**2 + 2948*x = 0 for x.
-737, 0, 2
Factor h**4/2 + 7*h**3 + 53*h**2/2 + 38*h + 18.
(h + 1)*(h + 2)**2*(h + 9)/2
Determine w so that -5*w**4 + 89*w**3 + 213*w**2 + 139*w + 20 = 0.
-1, -1/5, 20
Find o, given that 4*o**5 + 160*o**4 - 1676*o**3 + 4312*o**2 - 128*o - 6272 = 0.
-49, -1, 2, 4
Factor -28*s**3 - 10128*s**2 + 23280*s - 5824.
-4*(s - 2)*(s + 364)*(7*s - 2)
Factor 2*x**3/9 - 44*x**2/9 + 34*x - 72.
2*(x - 9)**2*(x - 4)/9
Let -4*j**3 - 272*j**2 + 572*j + 840 = 0. What is j?
-70, -1, 3
Determine d, given that 6*d**5/5 + 3*d**4 - 6*d**2 - 6*d - 9/5 = 0.
-1, 3/2
Factor -z**3 - 31*z**2 + 32*z.
-z*(z - 1)*(z + 32)
Solve 2*g**2/15 + 2*g + 24/5 = 0 for g.
-12, -3
Suppose j**3/4 - 87*j**2/4 - 90*j - 91 = 0. What is j?
-2, 91
Solve 2*w**2/15 - 334*w/5 - 2012/15 = 0.
-2, 503
Let 6*b**4/11 + 40*b**3/11 - 282*b**2/11 + 60*b/11 + 16 = 0. Calculate b.
-11, -2/3, 1, 4
Suppose 30*c**3 - 505*c**2 + 790*c + 525 = 0. Calculate c.
-1/2, 7/3, 15
Factor -3*n**2/5 + 249*n/5 - 246/5.
-3*(n - 82)*(n - 1)/5
Let -b**3/2 - 5*b**2/2 + 125*b/2 - 375/2 = 0. What is b?
-15, 5
Factor -2*r**2/3 + 29*r/6 - 7/6.
-(r - 7)*(4*r - 1)/6
Solve -2*k**3 + 148*k**2 - 290*k + 144 = 0 for k.
1, 72
Suppose 3*h**5/5 - 819*h**4/5 - 822*h**3/5 = 0. Calculate h.
-1, 0, 274
Factor -2*b**5/7 + 20*b**4/7 + 46*b**3/7 - 480*b**2/7 - 1152*b/7.
-2*b*(b - 8)**2*(b + 3)**2/7
Factor 2*u**4 - 20*u**3 + 64*u**2 - 64*u.
2*u*(u - 4)**2*(u - 2)
Let -2*k**2/9 - 78*k - 700/9 = 0. Calculate k.
-350, -1
Suppose 4*z**4/5 - 12*z**3/5 - 44*z**2/5 + 12*z/5 + 8 = 0. Calculate z.
-2, -1, 1, 5
Determine s so that -s**5/4 + s**4/4 + 2*s**3 - 2*s**2 - 4*s + 4 = 0.
-2, 1, 2
Find l such that 9*l**5/7 + 66*l**4/7 + 121*l**3/7 + 12*l**2 + 20*l/7 = 0.
-5, -1, -2/3, 0
Factor -4*t**4 - 220*t**3 - 3132*t**2 - 14580*t - 11664.
-4*(t + 1)*(t + 9)**2*(t + 36)
Let 5*l**5/6 - 13*l**4/6 + 11*l**3/6 - l**2/2 = 0. What is l?
0, 3/5, 1
What is z in -5*z**4 + 110*z**3 + 1460*z**2 + 4360*z + 3840 = 0?
-6, -2, 32
Factor 5*j**3 - 74*j**2 + 79*j + 494.
(j - 13)*(j + 2)*(5*j - 19)
Let -v**3 + 23*v**2 + 440*v - 10164 = 0. Calculate v.
-21, 22
Factor 64*l**4/15 - 74*l**3/3 + 228*l**2/5 - 344*l/15 - 112/15.
2*(l - 2)**3*(32*l + 7)/15
What is p in 2*p**2 - 956*p + 114242 = 0?
239
Suppose 2*t**3/11 - 2*t**2 + 78*t/11 - 90/11 = 0. Calculate t.
3, 5
Factor -2*c**2 - 40*c + 42.
-2*(c - 1)*(c + 21)
Determine q, given that -9*q**3/4 + 35*q**2/4 - 8*q - 1 = 0.
-1/9, 2
What is z in -2*z**5/9 + 26*z**4/9 - 32*z**3/3 + 8*z**2 = 0?
0, 1, 6
Factor 5*d**3 + 140*d**2 + 245*d - 390.
5*(d - 1)*(d + 3)*(d + 26)
Solve -5*h**3 + 1060*h**2 - 33300*h + 285120 = 0.
18, 176
Suppose 4*t**5 + 2*t**4 - 102*t**3 - 98*t**2 + 314*t - 120 = 0. What is t?
-4, -3, 1/2, 1, 5
Let -2*f**3 + 9118*f**2 - 10396798*f + 10387682 = 0. What is f?
1, 2279
Find z such that z**3/4 + 35*z**2/4 + 32*z + 31 = 0.
-31, -2
Suppose -10*x**2/9 + 56*x/9 - 64/9 = 0. Calculate x.
8/5, 4
Factor 3*n**2/2 + 45*n/2 - 24.
3*(n - 1)*(n + 16)/2
Suppose 5*o**4 - 5*o**3 - 30*o**2 + 20*o + 40 = 0. Calculate o.
-2, -1, 2
Factor 4*m**3 + 56*m**2 + 212*m + 160.
4*(m + 1)*(m + 5)*(m + 8)
Solve -2*s**4/7 + 2*s**3/7 + 8*s**2/7 - 8*s/7 = 0.
-2, 0, 1, 2
Factor j**4/2 - 16*j**3 + 126*j**2 + 64*j - 512.
(j - 16)**2*(j - 2)*(j + 2)/2
What is r in -3*r**5/2 + 27*r**4 - 207*r**3/2 - 300*r**2 + 1026*r + 1944 = 0?
-2, 4, 9
Factor -f**4/5 + 43*f**3/5 + 3*f**2/5 - 131*f/5 + 86/5.
-(f - 43)*(f - 1)**2*(f + 2)/5
Factor -21*l**4/8 - 291*l**3/8 - 987*l**2/8 + 147*l/8.
-3*l*(l + 7)**2*(7*l - 1)/8
Factor -2*q**3/15 - 262*q**2/5 - 34322*q/5 - 4496182/15.
-2*(q + 131)**3/15
Factor 3*w**2/4 + 153*w/8 + 27.
3*(w + 24)*(2*w + 3)/8
Factor 2*g**3/13 - 124*g**2/13 + 154*g - 9680/13.
2*(g - 40)*(g - 11)**2/13
Factor -h**5/3 + 8*h**4/3 - 8*h**3 + 34*h**2/3 - 23*h/3 + 2.
-(h - 3)*(h - 2)*(h - 1)**3/3
Factor -b**2/2 + 143*b - 20449/2.
-(b - 143)**2/2
Find f, given that -36*f**4 - 28*f**3 + 80*f**2 - 16*f = 0.
-2, 0, 2/9, 1
Factor 3*s**3/5 - 66*s**2/5 + 459*s/5 - 972/5.
3*(s - 9)**2*(s - 4)/5
Factor -2*u**2 + 852*u - 90738.
-2*(u - 213)**2
Find j, given that -j**3 + 536*j**2 - 1595*j - 2132 = 0.
-1, 4, 533
Factor 2*p**2/11 - 6*p + 180/11.
2*(p - 30)*(p - 3)/11
What is i in -i**4 - 1406*i**3 + i**2 + 1406*i = 0?
-1406, -1, 0, 1
Factor -2*m**3/7 - 30*m**2/7 - 96*m/7 + 128/7.
-2*(m - 1)*(m + 8)**2/7
Solve -b**3/10 + 127*b**2 - 2537*b/10 + 634/5 = 0 for b.
1, 1268
Factor -s**2/6 + 91*s/3 - 60.
-(s - 180)*(s - 2)/6
Factor -2*o**3/7 + 68*o**2/7 + 54*o + 468/7.
-2*(o - 39)*(o + 2)*(o + 3)/7
Factor -3*c**2/8 - 183*c/8 - 441/2.
-3*(c + 12)*(c + 49)/8
Suppose 2*y**3 - 34*y**2 - 2*y + 34 = 0. Calculate y.
-1, 1, 17
Find o, given that 2*o**2/7 - 180*o/7 - 4400/7 = 0.
-20, 110
Let -7*b**4/2 + 17*b**3/2 + 20*b**2 - 34*b - 24 = 0. Calculate b.
-2, -4/7, 2, 3
Find j, given that -2*j**3/3 - 16*j**2/3 - 14*j - 12 = 0.
-3, -2
Let -3*r**2/7 + 132*r/7 - 1452/7 = 0. What is r?
22
Let 5*l**4 + 250*l**3 - 1355*l**2 + 1100*l = 0. Calculate l.
-55, 0, 1, 4
Factor 12*r**2 + 62*r + 10.
2*(r + 5)*(6*r + 1)
Suppose 3*h**4/5 - 24*h**3/5 + 66*h**2/5 - 72*h/5 + 27/5 = 0. Calculate h.
1, 3
Determine f, given that 2*f**4/7 + 134*f**3/7 + 262*f**2/7 + 130*f/7 = 0.
-65, -1, 0
Find z, given that -4*z**4 - 88*z**3 + 212*z**2 + 456*z - 576 = 0.
-24, -2, 1, 3
Factor -5*n**2 + 90*n + 575.
-5*(n - 23)*